diff --git a/TSP/2.1.gif b/TSP/2.1.gif new file mode 100644 index 0000000..77e7979 Binary files /dev/null and b/TSP/2.1.gif differ diff --git a/TSP/201902001017_徐涛.zip b/TSP/201902001017_徐涛.zip new file mode 100644 index 0000000..deb6ad3 Binary files /dev/null and b/TSP/201902001017_徐涛.zip differ diff --git a/TSP/201902001017_徐涛_实验报告.doc b/TSP/201902001017_徐涛_实验报告.doc new file mode 100644 index 0000000..a631667 Binary files /dev/null and b/TSP/201902001017_徐涛_实验报告.doc differ diff --git a/TSP/TSP.zip b/TSP/TSP.zip deleted file mode 100644 index a9e666b..0000000 Binary files a/TSP/TSP.zip and /dev/null differ diff --git a/TSP/src/TSP.py b/TSP/src/TSP.py index 5a793f3..952832b 100644 --- a/TSP/src/TSP.py +++ b/TSP/src/TSP.py @@ -67,6 +67,7 @@ next = 0 count = 0 xl = [] yl = [] +plt.pause(2) plt.cla() plt.ion() # 打开交互模式 while(True): diff --git a/cs188-projects-master/P1 Search/VERSION b/cs188-projects-master/P1 Search/VERSION new file mode 100644 index 0000000..7c7fa2f --- /dev/null +++ b/cs188-projects-master/P1 Search/VERSION @@ -0,0 +1 @@ +v1.001 diff --git a/cs188-projects-master/P1 Search/autograder.py b/cs188-projects-master/P1 Search/autograder.py new file mode 100644 index 0000000..4abe64d --- /dev/null +++ b/cs188-projects-master/P1 Search/autograder.py @@ -0,0 +1,358 @@ +# autograder.py +# ------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +# imports from python standard library +import grading +import imp +import optparse +import os +import re +import sys +import projectParams +import random +random.seed(0) +try: + from pacman import GameState +except: + pass + +# register arguments and set default values +def readCommand(argv): + parser = optparse.OptionParser(description = 'Run public tests on student code') + parser.set_defaults(generateSolutions=False, edxOutput=False, gsOutput=False, muteOutput=False, printTestCase=False, noGraphics=False) + parser.add_option('--test-directory', + dest = 'testRoot', + default = 'test_cases', + help = 'Root test directory which contains subdirectories corresponding to each question') + parser.add_option('--student-code', + dest = 'studentCode', + default = projectParams.STUDENT_CODE_DEFAULT, + help = 'comma separated list of student code files') + parser.add_option('--code-directory', + dest = 'codeRoot', + default = "", + help = 'Root directory containing the student and testClass code') + parser.add_option('--test-case-code', + dest = 'testCaseCode', + default = projectParams.PROJECT_TEST_CLASSES, + help = 'class containing testClass classes for this project') + parser.add_option('--generate-solutions', + dest = 'generateSolutions', + action = 'store_true', + help = 'Write solutions generated to .solution file') + parser.add_option('--edx-output', + dest = 'edxOutput', + action = 'store_true', + help = 'Generate edX output files') + parser.add_option('--gradescope-output', + dest = 'gsOutput', + action = 'store_true', + help = 'Generate GradeScope output files') + parser.add_option('--mute', + dest = 'muteOutput', + action = 'store_true', + help = 'Mute output from executing tests') + parser.add_option('--print-tests', '-p', + dest = 'printTestCase', + action = 'store_true', + help = 'Print each test case before running them.') + parser.add_option('--test', '-t', + dest = 'runTest', + default = None, + help = 'Run one particular test. Relative to test root.') + parser.add_option('--question', '-q', + dest = 'gradeQuestion', + default = None, + help = 'Grade one particular question.') + parser.add_option('--no-graphics', + dest = 'noGraphics', + action = 'store_true', + help = 'No graphics display for pacman games.') + (options, args) = parser.parse_args(argv) + return options + + +# confirm we should author solution files +def confirmGenerate(): + print 'WARNING: this action will overwrite any solution files.' + print 'Are you sure you want to proceed? (yes/no)' + while True: + ans = sys.stdin.readline().strip() + if ans == 'yes': + break + elif ans == 'no': + sys.exit(0) + else: + print 'please answer either "yes" or "no"' + + +# TODO: Fix this so that it tracebacks work correctly +# Looking at source of the traceback module, presuming it works +# the same as the intepreters, it uses co_filename. This is, +# however, a readonly attribute. +def setModuleName(module, filename): + functionType = type(confirmGenerate) + classType = type(optparse.Option) + + for i in dir(module): + o = getattr(module, i) + if hasattr(o, '__file__'): continue + + if type(o) == functionType: + setattr(o, '__file__', filename) + elif type(o) == classType: + setattr(o, '__file__', filename) + # TODO: assign member __file__'s? + #print i, type(o) + + +#from cStringIO import StringIO + +def loadModuleString(moduleSource): + # Below broken, imp doesn't believe its being passed a file: + # ValueError: load_module arg#2 should be a file or None + # + #f = StringIO(moduleCodeDict[k]) + #tmp = imp.load_module(k, f, k, (".py", "r", imp.PY_SOURCE)) + tmp = imp.new_module(k) + exec moduleCodeDict[k] in tmp.__dict__ + setModuleName(tmp, k) + return tmp + +import py_compile + +def loadModuleFile(moduleName, filePath): + with open(filePath, 'r') as f: + return imp.load_module(moduleName, f, "%s.py" % moduleName, (".py", "r", imp.PY_SOURCE)) + + +def readFile(path, root=""): + "Read file from disk at specified path and return as string" + with open(os.path.join(root, path), 'r') as handle: + return handle.read() + + +####################################################################### +# Error Hint Map +####################################################################### + +# TODO: use these +ERROR_HINT_MAP = { + 'q1': { + "": """ + We noticed that your project threw an IndexError on q1. + While many things may cause this, it may have been from + assuming a certain number of successors from a state space + or assuming a certain number of actions available from a given + state. Try making your code more general (no hardcoded indices) + and submit again! + """ + }, + 'q3': { + "": """ + We noticed that your project threw an AttributeError on q3. + While many things may cause this, it may have been from assuming + a certain size or structure to the state space. For example, if you have + a line of code assuming that the state is (x, y) and we run your code + on a state space with (x, y, z), this error could be thrown. Try + making your code more general and submit again! + + """ + } +} + +import pprint + +def splitStrings(d): + d2 = dict(d) + for k in d: + if k[0:2] == "__": + del d2[k] + continue + if d2[k].find("\n") >= 0: + d2[k] = d2[k].split("\n") + return d2 + + +def printTest(testDict, solutionDict): + pp = pprint.PrettyPrinter(indent=4) + print "Test case:" + for line in testDict["__raw_lines__"]: + print " |", line + print "Solution:" + for line in solutionDict["__raw_lines__"]: + print " |", line + + +def runTest(testName, moduleDict, printTestCase=False, display=None): + import testParser + import testClasses + for module in moduleDict: + setattr(sys.modules[__name__], module, moduleDict[module]) + + testDict = testParser.TestParser(testName + ".test").parse() + solutionDict = testParser.TestParser(testName + ".solution").parse() + test_out_file = os.path.join('%s.test_output' % testName) + testDict['test_out_file'] = test_out_file + testClass = getattr(projectTestClasses, testDict['class']) + + questionClass = getattr(testClasses, 'Question') + question = questionClass({'max_points': 0}, display) + testCase = testClass(question, testDict) + + if printTestCase: + printTest(testDict, solutionDict) + + # This is a fragile hack to create a stub grades object + grades = grading.Grades(projectParams.PROJECT_NAME, [(None,0)]) + testCase.execute(grades, moduleDict, solutionDict) + + +# returns all the tests you need to run in order to run question +def getDepends(testParser, testRoot, question): + allDeps = [question] + questionDict = testParser.TestParser(os.path.join(testRoot, question, 'CONFIG')).parse() + if 'depends' in questionDict: + depends = questionDict['depends'].split() + for d in depends: + # run dependencies first + allDeps = getDepends(testParser, testRoot, d) + allDeps + return allDeps + +# get list of questions to grade +def getTestSubdirs(testParser, testRoot, questionToGrade): + problemDict = testParser.TestParser(os.path.join(testRoot, 'CONFIG')).parse() + if questionToGrade != None: + questions = getDepends(testParser, testRoot, questionToGrade) + if len(questions) > 1: + print 'Note: due to dependencies, the following tests will be run: %s' % ' '.join(questions) + return questions + if 'order' in problemDict: + return problemDict['order'].split() + return sorted(os.listdir(testRoot)) + + +# evaluate student code +def evaluate(generateSolutions, testRoot, moduleDict, exceptionMap=ERROR_HINT_MAP, + edxOutput=False, muteOutput=False, gsOutput=False, + printTestCase=False, questionToGrade=None, display=None): + # imports of testbench code. note that the testClasses import must follow + # the import of student code due to dependencies + import testParser + import testClasses + for module in moduleDict: + setattr(sys.modules[__name__], module, moduleDict[module]) + + questions = [] + questionDicts = {} + test_subdirs = getTestSubdirs(testParser, testRoot, questionToGrade) + for q in test_subdirs: + subdir_path = os.path.join(testRoot, q) + if not os.path.isdir(subdir_path) or q[0] == '.': + continue + + # create a question object + questionDict = testParser.TestParser(os.path.join(subdir_path, 'CONFIG')).parse() + questionClass = getattr(testClasses, questionDict['class']) + question = questionClass(questionDict, display) + questionDicts[q] = questionDict + + # load test cases into question + tests = filter(lambda t: re.match('[^#~.].*\.test\Z', t), os.listdir(subdir_path)) + tests = map(lambda t: re.match('(.*)\.test\Z', t).group(1), tests) + for t in sorted(tests): + test_file = os.path.join(subdir_path, '%s.test' % t) + solution_file = os.path.join(subdir_path, '%s.solution' % t) + test_out_file = os.path.join(subdir_path, '%s.test_output' % t) + testDict = testParser.TestParser(test_file).parse() + if testDict.get("disabled", "false").lower() == "true": + continue + testDict['test_out_file'] = test_out_file + testClass = getattr(projectTestClasses, testDict['class']) + testCase = testClass(question, testDict) + def makefun(testCase, solution_file): + if generateSolutions: + # write solution file to disk + return lambda grades: testCase.writeSolution(moduleDict, solution_file) + else: + # read in solution dictionary and pass as an argument + testDict = testParser.TestParser(test_file).parse() + solutionDict = testParser.TestParser(solution_file).parse() + if printTestCase: + return lambda grades: printTest(testDict, solutionDict) or testCase.execute(grades, moduleDict, solutionDict) + else: + return lambda grades: testCase.execute(grades, moduleDict, solutionDict) + question.addTestCase(testCase, makefun(testCase, solution_file)) + + # Note extra function is necessary for scoping reasons + def makefun(question): + return lambda grades: question.execute(grades) + setattr(sys.modules[__name__], q, makefun(question)) + questions.append((q, question.getMaxPoints())) + + grades = grading.Grades(projectParams.PROJECT_NAME, questions, + gsOutput=gsOutput, edxOutput=edxOutput, muteOutput=muteOutput) + if questionToGrade == None: + for q in questionDicts: + for prereq in questionDicts[q].get('depends', '').split(): + grades.addPrereq(q, prereq) + + grades.grade(sys.modules[__name__], bonusPic = projectParams.BONUS_PIC) + return grades.points + + + +def getDisplay(graphicsByDefault, options=None): + graphics = graphicsByDefault + if options is not None and options.noGraphics: + graphics = False + if graphics: + try: + import graphicsDisplay + return graphicsDisplay.PacmanGraphics(1, frameTime=.05) + except ImportError: + pass + import textDisplay + return textDisplay.NullGraphics() + + + + +if __name__ == '__main__': + options = readCommand(sys.argv) + if options.generateSolutions: + confirmGenerate() + codePaths = options.studentCode.split(',') + # moduleCodeDict = {} + # for cp in codePaths: + # moduleName = re.match('.*?([^/]*)\.py', cp).group(1) + # moduleCodeDict[moduleName] = readFile(cp, root=options.codeRoot) + # moduleCodeDict['projectTestClasses'] = readFile(options.testCaseCode, root=options.codeRoot) + # moduleDict = loadModuleDict(moduleCodeDict) + + moduleDict = {} + for cp in codePaths: + moduleName = re.match('.*?([^/]*)\.py', cp).group(1) + moduleDict[moduleName] = loadModuleFile(moduleName, os.path.join(options.codeRoot, cp)) + moduleName = re.match('.*?([^/]*)\.py', options.testCaseCode).group(1) + moduleDict['projectTestClasses'] = loadModuleFile(moduleName, os.path.join(options.codeRoot, options.testCaseCode)) + + + if options.runTest != None: + runTest(options.runTest, moduleDict, printTestCase=options.printTestCase, display=getDisplay(True, options)) + else: + evaluate(options.generateSolutions, options.testRoot, moduleDict, + gsOutput=options.gsOutput, + edxOutput=options.edxOutput, muteOutput=options.muteOutput, printTestCase=options.printTestCase, + questionToGrade=options.gradeQuestion, display=getDisplay(options.gradeQuestion!=None, options)) diff --git a/cs188-projects-master/P1 Search/commands.txt b/cs188-projects-master/P1 Search/commands.txt new file mode 100644 index 0000000..d5c70e2 --- /dev/null +++ b/cs188-projects-master/P1 Search/commands.txt @@ -0,0 +1,22 @@ +python pacman.py +python pacman.py --layout testMaze --pacman GoWestAgent +python pacman.py --layout tinyMaze --pacman GoWestAgent +python pacman.py -h +python pacman.py -l tinyMaze -p SearchAgent -a fn=tinyMazeSearch +python pacman.py -l tinyMaze -p SearchAgent +python pacman.py -l mediumMaze -p SearchAgent +python pacman.py -l bigMaze -z .5 -p SearchAgent +python pacman.py -l mediumMaze -p SearchAgent -a fn=bfs +python pacman.py -l bigMaze -p SearchAgent -a fn=bfs -z .5 +python eightpuzzle.py +python pacman.py -l mediumMaze -p SearchAgent -a fn=ucs +python pacman.py -l mediumDottedMaze -p StayEastSearchAgent +python pacman.py -l mediumScaryMaze -p StayWestSearchAgent +python pacman.py -l bigMaze -z .5 -p SearchAgent -a fn=astar,heuristic=manhattanHeuristic +python pacman.py -l tinyCorners -p SearchAgent -a fn=bfs,prob=CornersProblem +python pacman.py -l mediumCorners -p SearchAgent -a fn=bfs,prob=CornersProblem +python pacman.py -l mediumCorners -p AStarCornersAgent -z 0.5 +python pacman.py -l testSearch -p AStarFoodSearchAgent +python pacman.py -l trickySearch -p AStarFoodSearchAgent +python pacman.py -l bigSearch -p ClosestDotSearchAgent -z .5 +python pacman.py -l bigSearch -p ApproximateSearchAgent -z .5 -q diff --git a/cs188-projects-master/P1 Search/eightpuzzle.py b/cs188-projects-master/P1 Search/eightpuzzle.py new file mode 100644 index 0000000..6aa376c --- /dev/null +++ b/cs188-projects-master/P1 Search/eightpuzzle.py @@ -0,0 +1,281 @@ +# eightpuzzle.py +# -------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +import search +import random + +# Module Classes + +class EightPuzzleState: + """ + The Eight Puzzle is described in the course textbook on + page 64. + + This class defines the mechanics of the puzzle itself. The + task of recasting this puzzle as a search problem is left to + the EightPuzzleSearchProblem class. + """ + + def __init__( self, numbers ): + """ + Constructs a new eight puzzle from an ordering of numbers. + + numbers: a list of integers from 0 to 8 representing an + instance of the eight puzzle. 0 represents the blank + space. Thus, the list + + [1, 0, 2, 3, 4, 5, 6, 7, 8] + + represents the eight puzzle: + ------------- + | 1 | | 2 | + ------------- + | 3 | 4 | 5 | + ------------- + | 6 | 7 | 8 | + ------------ + + The configuration of the puzzle is stored in a 2-dimensional + list (a list of lists) 'cells'. + """ + self.cells = [] + numbers = numbers[:] # Make a copy so as not to cause side-effects. + numbers.reverse() + for row in range( 3 ): + self.cells.append( [] ) + for col in range( 3 ): + self.cells[row].append( numbers.pop() ) + if self.cells[row][col] == 0: + self.blankLocation = row, col + + def isGoal( self ): + """ + Checks to see if the puzzle is in its goal state. + + ------------- + | | 1 | 2 | + ------------- + | 3 | 4 | 5 | + ------------- + | 6 | 7 | 8 | + ------------- + + >>> EightPuzzleState([0, 1, 2, 3, 4, 5, 6, 7, 8]).isGoal() + True + + >>> EightPuzzleState([1, 0, 2, 3, 4, 5, 6, 7, 8]).isGoal() + False + """ + current = 0 + for row in range( 3 ): + for col in range( 3 ): + if current != self.cells[row][col]: + return False + current += 1 + return True + + def legalMoves( self ): + """ + Returns a list of legal moves from the current state. + + Moves consist of moving the blank space up, down, left or right. + These are encoded as 'up', 'down', 'left' and 'right' respectively. + + >>> EightPuzzleState([0, 1, 2, 3, 4, 5, 6, 7, 8]).legalMoves() + ['down', 'right'] + """ + moves = [] + row, col = self.blankLocation + if(row != 0): + moves.append('up') + if(row != 2): + moves.append('down') + if(col != 0): + moves.append('left') + if(col != 2): + moves.append('right') + return moves + + def result(self, move): + """ + Returns a new eightPuzzle with the current state and blankLocation + updated based on the provided move. + + The move should be a string drawn from a list returned by legalMoves. + Illegal moves will raise an exception, which may be an array bounds + exception. + + NOTE: This function *does not* change the current object. Instead, + it returns a new object. + """ + row, col = self.blankLocation + if(move == 'up'): + newrow = row - 1 + newcol = col + elif(move == 'down'): + newrow = row + 1 + newcol = col + elif(move == 'left'): + newrow = row + newcol = col - 1 + elif(move == 'right'): + newrow = row + newcol = col + 1 + else: + raise "Illegal Move" + + # Create a copy of the current eightPuzzle + newPuzzle = EightPuzzleState([0, 0, 0, 0, 0, 0, 0, 0, 0]) + newPuzzle.cells = [values[:] for values in self.cells] + # And update it to reflect the move + newPuzzle.cells[row][col] = self.cells[newrow][newcol] + newPuzzle.cells[newrow][newcol] = self.cells[row][col] + newPuzzle.blankLocation = newrow, newcol + + return newPuzzle + + # Utilities for comparison and display + def __eq__(self, other): + """ + Overloads '==' such that two eightPuzzles with the same configuration + are equal. + + >>> EightPuzzleState([0, 1, 2, 3, 4, 5, 6, 7, 8]) == \ + EightPuzzleState([1, 0, 2, 3, 4, 5, 6, 7, 8]).result('left') + True + """ + for row in range( 3 ): + if self.cells[row] != other.cells[row]: + return False + return True + + def __hash__(self): + return hash(str(self.cells)) + + def __getAsciiString(self): + """ + Returns a display string for the maze + """ + lines = [] + horizontalLine = ('-' * (13)) + lines.append(horizontalLine) + for row in self.cells: + rowLine = '|' + for col in row: + if col == 0: + col = ' ' + rowLine = rowLine + ' ' + col.__str__() + ' |' + lines.append(rowLine) + lines.append(horizontalLine) + return '\n'.join(lines) + + def __str__(self): + return self.__getAsciiString() + +# TODO: Implement The methods in this class + +class EightPuzzleSearchProblem(search.SearchProblem): + """ + Implementation of a SearchProblem for the Eight Puzzle domain + + Each state is represented by an instance of an eightPuzzle. + """ + def __init__(self,puzzle): + "Creates a new EightPuzzleSearchProblem which stores search information." + self.puzzle = puzzle + + def getStartState(self): + return puzzle + + def isGoalState(self,state): + return state.isGoal() + + def getSuccessors(self,state): + """ + Returns list of (successor, action, stepCost) pairs where + each succesor is either left, right, up, or down + from the original state and the cost is 1.0 for each + """ + succ = [] + for a in state.legalMoves(): + succ.append((state.result(a), a, 1)) + return succ + + def getCostOfActions(self, actions): + """ + actions: A list of actions to take + + This method returns the total cost of a particular sequence of actions. The sequence must + be composed of legal moves + """ + return len(actions) + +EIGHT_PUZZLE_DATA = [[1, 0, 2, 3, 4, 5, 6, 7, 8], + [1, 7, 8, 2, 3, 4, 5, 6, 0], + [4, 3, 2, 7, 0, 5, 1, 6, 8], + [5, 1, 3, 4, 0, 2, 6, 7, 8], + [1, 2, 5, 7, 6, 8, 0, 4, 3], + [0, 3, 1, 6, 8, 2, 7, 5, 4]] + +def loadEightPuzzle(puzzleNumber): + """ + puzzleNumber: The number of the eight puzzle to load. + + Returns an eight puzzle object generated from one of the + provided puzzles in EIGHT_PUZZLE_DATA. + + puzzleNumber can range from 0 to 5. + + >>> print loadEightPuzzle(0) + ------------- + | 1 | | 2 | + ------------- + | 3 | 4 | 5 | + ------------- + | 6 | 7 | 8 | + ------------- + """ + return EightPuzzleState(EIGHT_PUZZLE_DATA[puzzleNumber]) + +def createRandomEightPuzzle(moves=100): + """ + moves: number of random moves to apply + + Creates a random eight puzzle by applying + a series of 'moves' random moves to a solved + puzzle. + """ + puzzle = EightPuzzleState([0,1,2,3,4,5,6,7,8]) + for i in range(moves): + # Execute a random legal move + puzzle = puzzle.result(random.sample(puzzle.legalMoves(), 1)[0]) + return puzzle + +if __name__ == '__main__': + puzzle = createRandomEightPuzzle(25) + print('A random puzzle:') + print(puzzle) + + problem = EightPuzzleSearchProblem(puzzle) + path = search.breadthFirstSearch(problem) + print('BFS found a path of %d moves: %s' % (len(path), str(path))) + curr = puzzle + i = 1 + for a in path: + curr = curr.result(a) + print('After %d move%s: %s' % (i, ("", "s")[i>1], a)) + print(curr) + + raw_input("Press return for the next state...") # wait for key stroke + i += 1 diff --git a/cs188-projects-master/P1 Search/game.py b/cs188-projects-master/P1 Search/game.py new file mode 100644 index 0000000..e34d6cf --- /dev/null +++ b/cs188-projects-master/P1 Search/game.py @@ -0,0 +1,729 @@ +# game.py +# ------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +# game.py +# ------- +# Licensing Information: Please do not distribute or publish solutions to this +# project. You are free to use and extend these projects for educational +# purposes. The Pacman AI projects were developed at UC Berkeley, primarily by +# John DeNero (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# For more info, see http://inst.eecs.berkeley.edu/~cs188/sp09/pacman.html + +from util import * +import time, os +import traceback +import sys + +####################### +# Parts worth reading # +####################### + +class Agent: + """ + An agent must define a getAction method, but may also define the + following methods which will be called if they exist: + + def registerInitialState(self, state): # inspects the starting state + """ + def __init__(self, index=0): + self.index = index + + def getAction(self, state): + """ + The Agent will receive a GameState (from either {pacman, capture, sonar}.py) and + must return an action from Directions.{North, South, East, West, Stop} + """ + raiseNotDefined() + +class Directions: + NORTH = 'North' + SOUTH = 'South' + EAST = 'East' + WEST = 'West' + STOP = 'Stop' + + LEFT = {NORTH: WEST, + SOUTH: EAST, + EAST: NORTH, + WEST: SOUTH, + STOP: STOP} + + RIGHT = dict([(y,x) for x, y in LEFT.items()]) + + REVERSE = {NORTH: SOUTH, + SOUTH: NORTH, + EAST: WEST, + WEST: EAST, + STOP: STOP} + +class Configuration: + """ + A Configuration holds the (x,y) coordinate of a character, along with its + traveling direction. + + The convention for positions, like a graph, is that (0,0) is the lower left corner, x increases + horizontally and y increases vertically. Therefore, north is the direction of increasing y, or (0,1). + """ + + def __init__(self, pos, direction): + self.pos = pos + self.direction = direction + + def getPosition(self): + return (self.pos) + + def getDirection(self): + return self.direction + + def isInteger(self): + x,y = self.pos + return x == int(x) and y == int(y) + + def __eq__(self, other): + if other == None: return False + return (self.pos == other.pos and self.direction == other.direction) + + def __hash__(self): + x = hash(self.pos) + y = hash(self.direction) + return hash(x + 13 * y) + + def __str__(self): + return "(x,y)="+str(self.pos)+", "+str(self.direction) + + def generateSuccessor(self, vector): + """ + Generates a new configuration reached by translating the current + configuration by the action vector. This is a low-level call and does + not attempt to respect the legality of the movement. + + Actions are movement vectors. + """ + x, y= self.pos + dx, dy = vector + direction = Actions.vectorToDirection(vector) + if direction == Directions.STOP: + direction = self.direction # There is no stop direction + return Configuration((x + dx, y+dy), direction) + +class AgentState: + """ + AgentStates hold the state of an agent (configuration, speed, scared, etc). + """ + + def __init__( self, startConfiguration, isPacman ): + self.start = startConfiguration + self.configuration = startConfiguration + self.isPacman = isPacman + self.scaredTimer = 0 + self.numCarrying = 0 + self.numReturned = 0 + + def __str__( self ): + if self.isPacman: + return "Pacman: " + str( self.configuration ) + else: + return "Ghost: " + str( self.configuration ) + + def __eq__( self, other ): + if other == None: + return False + return self.configuration == other.configuration and self.scaredTimer == other.scaredTimer + + def __hash__(self): + return hash(hash(self.configuration) + 13 * hash(self.scaredTimer)) + + def copy( self ): + state = AgentState( self.start, self.isPacman ) + state.configuration = self.configuration + state.scaredTimer = self.scaredTimer + state.numCarrying = self.numCarrying + state.numReturned = self.numReturned + return state + + def getPosition(self): + if self.configuration == None: return None + return self.configuration.getPosition() + + def getDirection(self): + return self.configuration.getDirection() + +class Grid: + """ + A 2-dimensional array of objects backed by a list of lists. Data is accessed + via grid[x][y] where (x,y) are positions on a Pacman map with x horizontal, + y vertical and the origin (0,0) in the bottom left corner. + + The __str__ method constructs an output that is oriented like a pacman board. + """ + def __init__(self, width, height, initialValue=False, bitRepresentation=None): + if initialValue not in [False, True]: raise Exception('Grids can only contain booleans') + self.CELLS_PER_INT = 30 + + self.width = width + self.height = height + self.data = [[initialValue for y in range(height)] for x in range(width)] + if bitRepresentation: + self._unpackBits(bitRepresentation) + + def __getitem__(self, i): + return self.data[i] + + def __setitem__(self, key, item): + self.data[key] = item + + def __str__(self): + out = [[str(self.data[x][y])[0] for x in range(self.width)] for y in range(self.height)] + out.reverse() + return '\n'.join([''.join(x) for x in out]) + + def __eq__(self, other): + if other == None: return False + return self.data == other.data + + def __hash__(self): + # return hash(str(self)) + base = 1 + h = 0 + for l in self.data: + for i in l: + if i: + h += base + base *= 2 + return hash(h) + + def copy(self): + g = Grid(self.width, self.height) + g.data = [x[:] for x in self.data] + return g + + def deepCopy(self): + return self.copy() + + def shallowCopy(self): + g = Grid(self.width, self.height) + g.data = self.data + return g + + def count(self, item =True ): + return sum([x.count(item) for x in self.data]) + + def asList(self, key = True): + list = [] + for x in range(self.width): + for y in range(self.height): + if self[x][y] == key: list.append( (x,y) ) + return list + + def packBits(self): + """ + Returns an efficient int list representation + + (width, height, bitPackedInts...) + """ + bits = [self.width, self.height] + currentInt = 0 + for i in range(self.height * self.width): + bit = self.CELLS_PER_INT - (i % self.CELLS_PER_INT) - 1 + x, y = self._cellIndexToPosition(i) + if self[x][y]: + currentInt += 2 ** bit + if (i + 1) % self.CELLS_PER_INT == 0: + bits.append(currentInt) + currentInt = 0 + bits.append(currentInt) + return tuple(bits) + + def _cellIndexToPosition(self, index): + x = index / self.height + y = index % self.height + return x, y + + def _unpackBits(self, bits): + """ + Fills in data from a bit-level representation + """ + cell = 0 + for packed in bits: + for bit in self._unpackInt(packed, self.CELLS_PER_INT): + if cell == self.width * self.height: break + x, y = self._cellIndexToPosition(cell) + self[x][y] = bit + cell += 1 + + def _unpackInt(self, packed, size): + bools = [] + if packed < 0: raise ValueError, "must be a positive integer" + for i in range(size): + n = 2 ** (self.CELLS_PER_INT - i - 1) + if packed >= n: + bools.append(True) + packed -= n + else: + bools.append(False) + return bools + +def reconstituteGrid(bitRep): + if type(bitRep) is not type((1,2)): + return bitRep + width, height = bitRep[:2] + return Grid(width, height, bitRepresentation= bitRep[2:]) + +#################################### +# Parts you shouldn't have to read # +#################################### + +class Actions: + """ + A collection of static methods for manipulating move actions. + """ + # Directions + _directions = {Directions.NORTH: (0, 1), + Directions.SOUTH: (0, -1), + Directions.EAST: (1, 0), + Directions.WEST: (-1, 0), + Directions.STOP: (0, 0)} + + _directionsAsList = _directions.items() + + TOLERANCE = .001 + + def reverseDirection(action): + if action == Directions.NORTH: + return Directions.SOUTH + if action == Directions.SOUTH: + return Directions.NORTH + if action == Directions.EAST: + return Directions.WEST + if action == Directions.WEST: + return Directions.EAST + return action + reverseDirection = staticmethod(reverseDirection) + + def vectorToDirection(vector): + dx, dy = vector + if dy > 0: + return Directions.NORTH + if dy < 0: + return Directions.SOUTH + if dx < 0: + return Directions.WEST + if dx > 0: + return Directions.EAST + return Directions.STOP + vectorToDirection = staticmethod(vectorToDirection) + + def directionToVector(direction, speed = 1.0): + dx, dy = Actions._directions[direction] + return (dx * speed, dy * speed) + directionToVector = staticmethod(directionToVector) + + def getPossibleActions(config, walls): + possible = [] + x, y = config.pos + x_int, y_int = int(x + 0.5), int(y + 0.5) + + # In between grid points, all agents must continue straight + if (abs(x - x_int) + abs(y - y_int) > Actions.TOLERANCE): + return [config.getDirection()] + + for dir, vec in Actions._directionsAsList: + dx, dy = vec + next_y = y_int + dy + next_x = x_int + dx + if not walls[next_x][next_y]: possible.append(dir) + + return possible + + getPossibleActions = staticmethod(getPossibleActions) + + def getLegalNeighbors(position, walls): + x,y = position + x_int, y_int = int(x + 0.5), int(y + 0.5) + neighbors = [] + for dir, vec in Actions._directionsAsList: + dx, dy = vec + next_x = x_int + dx + if next_x < 0 or next_x == walls.width: continue + next_y = y_int + dy + if next_y < 0 or next_y == walls.height: continue + if not walls[next_x][next_y]: neighbors.append((next_x, next_y)) + return neighbors + getLegalNeighbors = staticmethod(getLegalNeighbors) + + def getSuccessor(position, action): + dx, dy = Actions.directionToVector(action) + x, y = position + return (x + dx, y + dy) + getSuccessor = staticmethod(getSuccessor) + +class GameStateData: + """ + + """ + def __init__( self, prevState = None ): + """ + Generates a new data packet by copying information from its predecessor. + """ + if prevState != None: + self.food = prevState.food.shallowCopy() + self.capsules = prevState.capsules[:] + self.agentStates = self.copyAgentStates( prevState.agentStates ) + self.layout = prevState.layout + self._eaten = prevState._eaten + self.score = prevState.score + + self._foodEaten = None + self._foodAdded = None + self._capsuleEaten = None + self._agentMoved = None + self._lose = False + self._win = False + self.scoreChange = 0 + + def deepCopy( self ): + state = GameStateData( self ) + state.food = self.food.deepCopy() + state.layout = self.layout.deepCopy() + state._agentMoved = self._agentMoved + state._foodEaten = self._foodEaten + state._foodAdded = self._foodAdded + state._capsuleEaten = self._capsuleEaten + return state + + def copyAgentStates( self, agentStates ): + copiedStates = [] + for agentState in agentStates: + copiedStates.append( agentState.copy() ) + return copiedStates + + def __eq__( self, other ): + """ + Allows two states to be compared. + """ + if other == None: return False + # TODO Check for type of other + if not self.agentStates == other.agentStates: return False + if not self.food == other.food: return False + if not self.capsules == other.capsules: return False + if not self.score == other.score: return False + return True + + def __hash__( self ): + """ + Allows states to be keys of dictionaries. + """ + for i, state in enumerate( self.agentStates ): + try: + int(hash(state)) + except TypeError, e: + print e + #hash(state) + return int((hash(tuple(self.agentStates)) + 13*hash(self.food) + 113* hash(tuple(self.capsules)) + 7 * hash(self.score)) % 1048575 ) + + def __str__( self ): + width, height = self.layout.width, self.layout.height + map = Grid(width, height) + if type(self.food) == type((1,2)): + self.food = reconstituteGrid(self.food) + for x in range(width): + for y in range(height): + food, walls = self.food, self.layout.walls + map[x][y] = self._foodWallStr(food[x][y], walls[x][y]) + + for agentState in self.agentStates: + if agentState == None: continue + if agentState.configuration == None: continue + x,y = [int( i ) for i in nearestPoint( agentState.configuration.pos )] + agent_dir = agentState.configuration.direction + if agentState.isPacman: + map[x][y] = self._pacStr( agent_dir ) + else: + map[x][y] = self._ghostStr( agent_dir ) + + for x, y in self.capsules: + map[x][y] = 'o' + + return str(map) + ("\nScore: %d\n" % self.score) + + def _foodWallStr( self, hasFood, hasWall ): + if hasFood: + return '.' + elif hasWall: + return '%' + else: + return ' ' + + def _pacStr( self, dir ): + if dir == Directions.NORTH: + return 'v' + if dir == Directions.SOUTH: + return '^' + if dir == Directions.WEST: + return '>' + return '<' + + def _ghostStr( self, dir ): + return 'G' + if dir == Directions.NORTH: + return 'M' + if dir == Directions.SOUTH: + return 'W' + if dir == Directions.WEST: + return '3' + return 'E' + + def initialize( self, layout, numGhostAgents ): + """ + Creates an initial game state from a layout array (see layout.py). + """ + self.food = layout.food.copy() + #self.capsules = [] + self.capsules = layout.capsules[:] + self.layout = layout + self.score = 0 + self.scoreChange = 0 + + self.agentStates = [] + numGhosts = 0 + for isPacman, pos in layout.agentPositions: + if not isPacman: + if numGhosts == numGhostAgents: continue # Max ghosts reached already + else: numGhosts += 1 + self.agentStates.append( AgentState( Configuration( pos, Directions.STOP), isPacman) ) + self._eaten = [False for a in self.agentStates] + +try: + import boinc + _BOINC_ENABLED = True +except: + _BOINC_ENABLED = False + +class Game: + """ + The Game manages the control flow, soliciting actions from agents. + """ + + def __init__( self, agents, display, rules, startingIndex=0, muteAgents=False, catchExceptions=False ): + self.agentCrashed = False + self.agents = agents + self.display = display + self.rules = rules + self.startingIndex = startingIndex + self.gameOver = False + self.muteAgents = muteAgents + self.catchExceptions = catchExceptions + self.moveHistory = [] + self.totalAgentTimes = [0 for agent in agents] + self.totalAgentTimeWarnings = [0 for agent in agents] + self.agentTimeout = False + import cStringIO + self.agentOutput = [cStringIO.StringIO() for agent in agents] + + def getProgress(self): + if self.gameOver: + return 1.0 + else: + return self.rules.getProgress(self) + + def _agentCrash( self, agentIndex, quiet=False): + "Helper method for handling agent crashes" + if not quiet: traceback.print_exc() + self.gameOver = True + self.agentCrashed = True + self.rules.agentCrash(self, agentIndex) + + OLD_STDOUT = None + OLD_STDERR = None + + def mute(self, agentIndex): + if not self.muteAgents: return + global OLD_STDOUT, OLD_STDERR + import cStringIO + OLD_STDOUT = sys.stdout + OLD_STDERR = sys.stderr + sys.stdout = self.agentOutput[agentIndex] + sys.stderr = self.agentOutput[agentIndex] + + def unmute(self): + if not self.muteAgents: return + global OLD_STDOUT, OLD_STDERR + # Revert stdout/stderr to originals + sys.stdout = OLD_STDOUT + sys.stderr = OLD_STDERR + + + def run( self ): + """ + Main control loop for game play. + """ + self.display.initialize(self.state.data) + self.numMoves = 0 + + ###self.display.initialize(self.state.makeObservation(1).data) + # inform learning agents of the game start + for i in range(len(self.agents)): + agent = self.agents[i] + if not agent: + self.mute(i) + # this is a null agent, meaning it failed to load + # the other team wins + print >>sys.stderr, "Agent %d failed to load" % i + self.unmute() + self._agentCrash(i, quiet=True) + return + if ("registerInitialState" in dir(agent)): + self.mute(i) + if self.catchExceptions: + try: + timed_func = TimeoutFunction(agent.registerInitialState, int(self.rules.getMaxStartupTime(i))) + try: + start_time = time.time() + timed_func(self.state.deepCopy()) + time_taken = time.time() - start_time + self.totalAgentTimes[i] += time_taken + except TimeoutFunctionException: + print >>sys.stderr, "Agent %d ran out of time on startup!" % i + self.unmute() + self.agentTimeout = True + self._agentCrash(i, quiet=True) + return + except Exception,data: + self._agentCrash(i, quiet=False) + self.unmute() + return + else: + agent.registerInitialState(self.state.deepCopy()) + ## TODO: could this exceed the total time + self.unmute() + + agentIndex = self.startingIndex + numAgents = len( self.agents ) + + while not self.gameOver: + # Fetch the next agent + agent = self.agents[agentIndex] + move_time = 0 + skip_action = False + # Generate an observation of the state + if 'observationFunction' in dir( agent ): + self.mute(agentIndex) + if self.catchExceptions: + try: + timed_func = TimeoutFunction(agent.observationFunction, int(self.rules.getMoveTimeout(agentIndex))) + try: + start_time = time.time() + observation = timed_func(self.state.deepCopy()) + except TimeoutFunctionException: + skip_action = True + move_time += time.time() - start_time + self.unmute() + except Exception,data: + self._agentCrash(agentIndex, quiet=False) + self.unmute() + return + else: + observation = agent.observationFunction(self.state.deepCopy()) + self.unmute() + else: + observation = self.state.deepCopy() + + # Solicit an action + action = None + self.mute(agentIndex) + if self.catchExceptions: + try: + timed_func = TimeoutFunction(agent.getAction, int(self.rules.getMoveTimeout(agentIndex)) - int(move_time)) + try: + start_time = time.time() + if skip_action: + raise TimeoutFunctionException() + action = timed_func( observation ) + except TimeoutFunctionException: + print >>sys.stderr, "Agent %d timed out on a single move!" % agentIndex + self.agentTimeout = True + self._agentCrash(agentIndex, quiet=True) + self.unmute() + return + + move_time += time.time() - start_time + + if move_time > self.rules.getMoveWarningTime(agentIndex): + self.totalAgentTimeWarnings[agentIndex] += 1 + print >>sys.stderr, "Agent %d took too long to make a move! This is warning %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex]) + if self.totalAgentTimeWarnings[agentIndex] > self.rules.getMaxTimeWarnings(agentIndex): + print >>sys.stderr, "Agent %d exceeded the maximum number of warnings: %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex]) + self.agentTimeout = True + self._agentCrash(agentIndex, quiet=True) + self.unmute() + return + + self.totalAgentTimes[agentIndex] += move_time + #print "Agent: %d, time: %f, total: %f" % (agentIndex, move_time, self.totalAgentTimes[agentIndex]) + if self.totalAgentTimes[agentIndex] > self.rules.getMaxTotalTime(agentIndex): + print >>sys.stderr, "Agent %d ran out of time! (time: %1.2f)" % (agentIndex, self.totalAgentTimes[agentIndex]) + self.agentTimeout = True + self._agentCrash(agentIndex, quiet=True) + self.unmute() + return + self.unmute() + except Exception,data: + self._agentCrash(agentIndex) + self.unmute() + return + else: + action = agent.getAction(observation) + self.unmute() + + # Execute the action + self.moveHistory.append( (agentIndex, action) ) + if self.catchExceptions: + try: + self.state = self.state.generateSuccessor( agentIndex, action ) + except Exception,data: + self.mute(agentIndex) + self._agentCrash(agentIndex) + self.unmute() + return + else: + self.state = self.state.generateSuccessor( agentIndex, action ) + + # Change the display + self.display.update( self.state.data ) + ###idx = agentIndex - agentIndex % 2 + 1 + ###self.display.update( self.state.makeObservation(idx).data ) + + # Allow for game specific conditions (winning, losing, etc.) + self.rules.process(self.state, self) + # Track progress + if agentIndex == numAgents + 1: self.numMoves += 1 + # Next agent + agentIndex = ( agentIndex + 1 ) % numAgents + + if _BOINC_ENABLED: + boinc.set_fraction_done(self.getProgress()) + + # inform a learning agent of the game result + for agentIndex, agent in enumerate(self.agents): + if "final" in dir( agent ) : + try: + self.mute(agentIndex) + agent.final( self.state ) + self.unmute() + except Exception,data: + if not self.catchExceptions: raise + self._agentCrash(agentIndex) + self.unmute() + return + self.display.finish() diff --git a/cs188-projects-master/P1 Search/game.pyc b/cs188-projects-master/P1 Search/game.pyc new file mode 100644 index 0000000..c948a30 Binary files /dev/null and b/cs188-projects-master/P1 Search/game.pyc differ diff --git a/cs188-projects-master/P1 Search/ghostAgents.py b/cs188-projects-master/P1 Search/ghostAgents.py new file mode 100644 index 0000000..c3afe1f --- /dev/null +++ b/cs188-projects-master/P1 Search/ghostAgents.py @@ -0,0 +1,81 @@ +# ghostAgents.py +# -------------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +from game import Agent +from game import Actions +from game import Directions +import random +from util import manhattanDistance +import util + +class GhostAgent( Agent ): + def __init__( self, index ): + self.index = index + + def getAction( self, state ): + dist = self.getDistribution(state) + if len(dist) == 0: + return Directions.STOP + else: + return util.chooseFromDistribution( dist ) + + def getDistribution(self, state): + "Returns a Counter encoding a distribution over actions from the provided state." + util.raiseNotDefined() + +class RandomGhost( GhostAgent ): + "A ghost that chooses a legal action uniformly at random." + def getDistribution( self, state ): + dist = util.Counter() + for a in state.getLegalActions( self.index ): dist[a] = 1.0 + dist.normalize() + return dist + +class DirectionalGhost( GhostAgent ): + "A ghost that prefers to rush Pacman, or flee when scared." + def __init__( self, index, prob_attack=0.8, prob_scaredFlee=0.8 ): + self.index = index + self.prob_attack = prob_attack + self.prob_scaredFlee = prob_scaredFlee + + def getDistribution( self, state ): + # Read variables from state + ghostState = state.getGhostState( self.index ) + legalActions = state.getLegalActions( self.index ) + pos = state.getGhostPosition( self.index ) + isScared = ghostState.scaredTimer > 0 + + speed = 1 + if isScared: speed = 0.5 + + actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions] + newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors] + pacmanPosition = state.getPacmanPosition() + + # Select best actions given the state + distancesToPacman = [manhattanDistance( pos, pacmanPosition ) for pos in newPositions] + if isScared: + bestScore = max( distancesToPacman ) + bestProb = self.prob_scaredFlee + else: + bestScore = min( distancesToPacman ) + bestProb = self.prob_attack + bestActions = [action for action, distance in zip( legalActions, distancesToPacman ) if distance == bestScore] + + # Construct distribution + dist = util.Counter() + for a in bestActions: dist[a] = bestProb / len(bestActions) + for a in legalActions: dist[a] += ( 1-bestProb ) / len(legalActions) + dist.normalize() + return dist diff --git a/cs188-projects-master/P1 Search/ghostAgents.pyc b/cs188-projects-master/P1 Search/ghostAgents.pyc new file mode 100644 index 0000000..faa223f Binary files /dev/null and b/cs188-projects-master/P1 Search/ghostAgents.pyc differ diff --git a/cs188-projects-master/P1 Search/grading.py b/cs188-projects-master/P1 Search/grading.py new file mode 100644 index 0000000..b63c877 --- /dev/null +++ b/cs188-projects-master/P1 Search/grading.py @@ -0,0 +1,323 @@ +# grading.py +# ---------- +# Licensing Information: You are free to use or extend these projects for +# educational purposes provided that (1) you do not distribute or publish +# solutions, (2) you retain this notice, and (3) you provide clear +# attribution to UC Berkeley, including a link to http://ai.berkeley.edu. +# +# Attribution Information: The Pacman AI projects were developed at UC Berkeley. +# The core projects and autograders were primarily created by John DeNero +# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu). +# Student side autograding was added by Brad Miller, Nick Hay, and +# Pieter Abbeel (pabbeel@cs.berkeley.edu). + + +"Common code for autograders" + +import cgi +import time +import sys +import json +import traceback +import pdb +from collections import defaultdict +import util + +class Grades: + "A data structure for project grades, along with formatting code to display them" + def __init__(self, projectName, questionsAndMaxesList, + gsOutput=False, edxOutput=False, muteOutput=False): + """ + Defines the grading scheme for a project + projectName: project name + questionsAndMaxesDict: a list of (question name, max points per question) + """ + self.questions = [el[0] for el in questionsAndMaxesList] + self.maxes = dict(questionsAndMaxesList) + self.points = Counter() + self.messages = dict([(q, []) for q in self.questions]) + self.project = projectName + self.start = time.localtime()[1:6] + self.sane = True # Sanity checks + self.currentQuestion = None # Which question we're grading + self.edxOutput = edxOutput + self.gsOutput = gsOutput # GradeScope output + self.mute = muteOutput + self.prereqs = defaultdict(set) + + #print 'Autograder transcript for %s' % self.project + print 'Starting on %d-%d at %d:%02d:%02d' % self.start + + def addPrereq(self, question, prereq): + self.prereqs[question].add(prereq) + + def grade(self, gradingModule, exceptionMap = {}, bonusPic = False): + """ + Grades each question + gradingModule: the module with all the grading functions (pass in with sys.modules[__name__]) + """ + + completedQuestions = set([]) + for q in self.questions: + print '\nQuestion %s' % q + print '=' * (9 + len(q)) + print + self.currentQuestion = q + + incompleted = self.prereqs[q].difference(completedQuestions) + if len(incompleted) > 0: + prereq = incompleted.pop() + print \ +"""*** NOTE: Make sure to complete Question %s before working on Question %s, +*** because Question %s builds upon your answer for Question %s. +""" % (prereq, q, q, prereq) + continue + + if self.mute: util.mutePrint() + try: + util.TimeoutFunction(getattr(gradingModule, q),1800)(self) # Call the question's function + #TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function + except Exception, inst: + self.addExceptionMessage(q, inst, traceback) + self.addErrorHints(exceptionMap, inst, q[1]) + except: + self.fail('FAIL: Terminated with a string exception.') + finally: + if self.mute: util.unmutePrint() + + if self.points[q] >= self.maxes[q]: + completedQuestions.add(q) + + print '\n### Question %s: %d/%d ###\n' % (q, self.points[q], self.maxes[q]) + + + print '\nFinished at %d:%02d:%02d' % time.localtime()[3:6] + print "\nProvisional grades\n==================" + + for q in self.questions: + print 'Question %s: %d/%d' % (q, self.points[q], self.maxes[q]) + print '------------------' + print 'Total: %d/%d' % (self.points.totalCount(), sum(self.maxes.values())) + if bonusPic and self.points.totalCount() == 25: + print """ + + ALL HAIL GRANDPAC. + LONG LIVE THE GHOSTBUSTING KING. + + --- ---- --- + | \ / + \ / | + | + \--/ \--/ + | + | + + | + | + + + | + @@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + \ / @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + V \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@ + \ / @@@@@@@@@@@@@@@@@@@@@@@@@@ + V @@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@ + /\ @@@@@@@@@@@@@@@@@@@@@@ + / \ @@@@@@@@@@@@@@@@@@@@@@@@@ + /\ / @@@@@@@@@@@@@@@@@@@@@@@@@@@ + / \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + / @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@@@@@@@@@ + @@@@@@@@@@@@@@@@@@ + +""" + print """ +Your grades are NOT yet registered. To register your grades, make sure +to follow your instructor's guidelines to receive credit on your project. +""" + + if self.edxOutput: + self.produceOutput() + if self.gsOutput: + self.produceGradeScopeOutput() + + def addExceptionMessage(self, q, inst, traceback): + """ + Method to format the exception message, this is more complicated because + we need to cgi.escape the traceback but wrap the exception in a 
 tag
+    """
+    self.fail('FAIL: Exception raised: %s' % inst)
+    self.addMessage('')
+    for line in traceback.format_exc().split('\n'):
+        self.addMessage(line)
+
+  def addErrorHints(self, exceptionMap, errorInstance, questionNum):
+    typeOf = str(type(errorInstance))
+    questionName = 'q' + questionNum
+    errorHint = ''
+
+    # question specific error hints
+    if exceptionMap.get(questionName):
+      questionMap = exceptionMap.get(questionName)
+      if (questionMap.get(typeOf)):
+        errorHint = questionMap.get(typeOf)
+    # fall back to general error messages if a question specific
+    # one does not exist
+    if (exceptionMap.get(typeOf)):
+      errorHint = exceptionMap.get(typeOf)
+
+    # dont include the HTML if we have no error hint
+    if not errorHint:
+      return ''
+
+    for line in errorHint.split('\n'):
+      self.addMessage(line)
+
+  def produceGradeScopeOutput(self):
+    out_dct = {}
+
+    # total of entire submission
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    out_dct['score'] = total_score
+    out_dct['max_score'] = total_possible
+    out_dct['output'] = "Total score (%d / %d)" % (total_score, total_possible)
+
+    # individual tests
+    tests_out = []
+    for name in self.questions:
+      test_out = {}
+      # test name
+      test_out['name'] = name
+      # test score
+      test_out['score'] = self.points[name]
+      test_out['max_score'] = self.maxes[name]
+      # others
+      is_correct = self.points[name] >= self.maxes[name]
+      test_out['output'] = "  Question {num} ({points}/{max}) {correct}".format(
+          num=(name[1] if len(name) == 2 else name),
+          points=test_out['score'],
+          max=test_out['max_score'],
+          correct=('X' if not is_correct else ''),
+      )
+      test_out['tags'] = []
+      tests_out.append(test_out)
+    out_dct['tests'] = tests_out
+
+    # file output
+    with open('gradescope_response.json', 'w') as outfile:
+        json.dump(out_dct, outfile)
+    return
+
+  def produceOutput(self):
+    edxOutput = open('edx_response.html', 'w')
+    edxOutput.write("
")
+
+    # first sum
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    checkOrX = ''
+    if (total_score >= total_possible):
+        checkOrX = ''
+    header = """
+        

+            Total score ({total_score} / {total_possible})
+        

+    """.format(total_score = total_score,
+      total_possible = total_possible,
+      checkOrX = checkOrX
+    )
+    edxOutput.write(header)
+
+    for q in self.questions:
+      if len(q) == 2:
+          name = q[1]
+      else:
+          name = q
+      checkOrX = ''
+      if (self.points[q] >= self.maxes[q]):
+        checkOrX = ''
+      #messages = '\n
\n'.join(self.messages[q])
+      messages = "
%s
" % '\n'.join(self.messages[q])
+      output = """
+        

+          

+          

+            Question {q} ({points}/{max}) {checkOrX}
+          

+        

+          {messages}
+        

+        

+      

+      """.format(q = name,
+        max = self.maxes[q],
+        messages = messages,
+        checkOrX = checkOrX,
+        points = self.points[q]
+      )
+      # print "*** output for Question %s " % q[1]
+      # print output
+      edxOutput.write(output)
+    edxOutput.write("
")
+    edxOutput.close()
+    edxOutput = open('edx_grade', 'w')
+    edxOutput.write(str(self.points.totalCount()))
+    edxOutput.close()
+
+  def fail(self, message, raw=False):
+    "Sets sanity check bit to false and outputs a message"
+    self.sane = False
+    self.assignZeroCredit()
+    self.addMessage(message, raw)
+
+  def assignZeroCredit(self):
+    self.points[self.currentQuestion] = 0
+
+  def addPoints(self, amt):
+    self.points[self.currentQuestion] += amt
+
+  def deductPoints(self, amt):
+    self.points[self.currentQuestion] -= amt
+
+  def assignFullCredit(self, message="", raw=False):
+    self.points[self.currentQuestion] = self.maxes[self.currentQuestion]
+    if message != "":
+      self.addMessage(message, raw)
+
+  def addMessage(self, message, raw=False):
+    if not raw:
+        # We assume raw messages, formatted for HTML, are printed separately
+        if self.mute: util.unmutePrint()
+        print '*** ' + message
+        if self.mute: util.mutePrint()
+        message = cgi.escape(message)
+    self.messages[self.currentQuestion].append(message)
+
+  def addMessageToEmail(self, message):
+    print "WARNING**** addMessageToEmail is deprecated %s" % message
+    for line in message.split('\n'):
+      pass
+      #print '%%% ' + line + ' %%%'
+      #self.messages[self.currentQuestion].append(line)
+
+
+
+
+
+class Counter(dict):
+  """
+  Dict with default 0
+  """
+  def __getitem__(self, idx):
+    try:
+      return dict.__getitem__(self, idx)
+    except KeyError:
+      return 0
+
+  def totalCount(self):
+    """
+    Returns the sum of counts for all keys.
+    """
+    return sum(self.values())
+
diff --git a/cs188-projects-master/P1 Search/grading.pyc b/cs188-projects-master/P1 Search/grading.pyc
new file mode 100644
index 0000000..c5f8ba3
Binary files /dev/null and b/cs188-projects-master/P1 Search/grading.pyc differ
diff --git a/cs188-projects-master/P1 Search/graphicsDisplay.py b/cs188-projects-master/P1 Search/graphicsDisplay.py
new file mode 100644
index 0000000..1bfe1b3
--- /dev/null
+++ b/cs188-projects-master/P1 Search/graphicsDisplay.py	
@@ -0,0 +1,679 @@
+# graphicsDisplay.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsUtils import *
+import math, time
+from game import Directions
+
+###########################
+#  GRAPHICS DISPLAY CODE  #
+###########################
+
+# Most code by Dan Klein and John Denero written or rewritten for cs188, UC Berkeley.
+# Some code from a Pacman implementation by LiveWires, and used / modified with permission.
+
+DEFAULT_GRID_SIZE = 30.0
+INFO_PANE_HEIGHT = 35
+BACKGROUND_COLOR = formatColor(0,0,0)
+WALL_COLOR = formatColor(0.0/255.0, 51.0/255.0, 255.0/255.0)
+INFO_PANE_COLOR = formatColor(.4,.4,0)
+SCORE_COLOR = formatColor(.9, .9, .9)
+PACMAN_OUTLINE_WIDTH = 2
+PACMAN_CAPTURE_OUTLINE_WIDTH = 4
+
+GHOST_COLORS = []
+GHOST_COLORS.append(formatColor(.9,0,0)) # Red
+GHOST_COLORS.append(formatColor(0,.3,.9)) # Blue
+GHOST_COLORS.append(formatColor(.98,.41,.07)) # Orange
+GHOST_COLORS.append(formatColor(.1,.75,.7)) # Green
+GHOST_COLORS.append(formatColor(1.0,0.6,0.0)) # Yellow
+GHOST_COLORS.append(formatColor(.4,0.13,0.91)) # Purple
+
+TEAM_COLORS = GHOST_COLORS[:2]
+
+GHOST_SHAPE = [
+    ( 0,    0.3 ),
+    ( 0.25, 0.75 ),
+    ( 0.5,  0.3 ),
+    ( 0.75, 0.75 ),
+    ( 0.75, -0.5 ),
+    ( 0.5,  -0.75 ),
+    (-0.5,  -0.75 ),
+    (-0.75, -0.5 ),
+    (-0.75, 0.75 ),
+    (-0.5,  0.3 ),
+    (-0.25, 0.75 )
+  ]
+GHOST_SIZE = 0.65
+SCARED_COLOR = formatColor(1,1,1)
+
+GHOST_VEC_COLORS = map(colorToVector, GHOST_COLORS)
+
+PACMAN_COLOR = formatColor(255.0/255.0,255.0/255.0,61.0/255)
+PACMAN_SCALE = 0.5
+#pacman_speed = 0.25
+
+# Food
+FOOD_COLOR = formatColor(1,1,1)
+FOOD_SIZE = 0.1
+
+# Laser
+LASER_COLOR = formatColor(1,0,0)
+LASER_SIZE = 0.02
+
+# Capsule graphics
+CAPSULE_COLOR = formatColor(1,1,1)
+CAPSULE_SIZE = 0.25
+
+# Drawing walls
+WALL_RADIUS = 0.15
+
+class InfoPane:
+    def __init__(self, layout, gridSize):
+        self.gridSize = gridSize
+        self.width = (layout.width) * gridSize
+        self.base = (layout.height + 1) * gridSize
+        self.height = INFO_PANE_HEIGHT
+        self.fontSize = 24
+        self.textColor = PACMAN_COLOR
+        self.drawPane()
+
+    def toScreen(self, pos, y = None):
+        """
+          Translates a point relative from the bottom left of the info pane.
+        """
+        if y == None:
+            x,y = pos
+        else:
+            x = pos
+
+        x = self.gridSize + x # Margin
+        y = self.base + y
+        return x,y
+
+    def drawPane(self):
+        self.scoreText = text( self.toScreen(0, 0  ), self.textColor, "SCORE:    0", "Times", self.fontSize, "bold")
+
+    def initializeGhostDistances(self, distances):
+        self.ghostDistanceText = []
+
+        size = 20
+        if self.width < 240:
+            size = 12
+        if self.width < 160:
+            size = 10
+
+        for i, d in enumerate(distances):
+            t = text( self.toScreen(self.width/2 + self.width/8 * i, 0), GHOST_COLORS[i+1], d, "Times", size, "bold")
+            self.ghostDistanceText.append(t)
+
+    def updateScore(self, score):
+        changeText(self.scoreText, "SCORE: % 4d" % score)
+
+    def setTeam(self, isBlue):
+        text = "RED TEAM"
+        if isBlue: text = "BLUE TEAM"
+        self.teamText = text( self.toScreen(300, 0  ), self.textColor, text, "Times", self.fontSize, "bold")
+
+    def updateGhostDistances(self, distances):
+        if len(distances) == 0: return
+        if 'ghostDistanceText' not in dir(self): self.initializeGhostDistances(distances)
+        else:
+            for i, d in enumerate(distances):
+                changeText(self.ghostDistanceText[i], d)
+
+    def drawGhost(self):
+        pass
+
+    def drawPacman(self):
+        pass
+
+    def drawWarning(self):
+        pass
+
+    def clearIcon(self):
+        pass
+
+    def updateMessage(self, message):
+        pass
+
+    def clearMessage(self):
+        pass
+
+
+class PacmanGraphics:
+    def __init__(self, zoom=1.0, frameTime=0.0, capture=False):
+        self.have_window = 0
+        self.currentGhostImages = {}
+        self.pacmanImage = None
+        self.zoom = zoom
+        self.gridSize = DEFAULT_GRID_SIZE * zoom
+        self.capture = capture
+        self.frameTime = frameTime
+
+    def checkNullDisplay(self):
+        return False
+
+    def initialize(self, state, isBlue = False):
+        self.isBlue = isBlue
+        self.startGraphics(state)
+
+        # self.drawDistributions(state)
+        self.distributionImages = None  # Initialized lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def startGraphics(self, state):
+        self.layout = state.layout
+        layout = self.layout
+        self.width = layout.width
+        self.height = layout.height
+        self.make_window(self.width, self.height)
+        self.infoPane = InfoPane(layout, self.gridSize)
+        self.currentState = layout
+
+    def drawDistributions(self, state):
+        walls = state.layout.walls
+        dist = []
+        for x in range(walls.width):
+            distx = []
+            dist.append(distx)
+            for y in range(walls.height):
+                ( screen_x, screen_y ) = self.to_screen( (x, y) )
+                block = square( (screen_x, screen_y),
+                                0.5 * self.gridSize,
+                                color = BACKGROUND_COLOR,
+                                filled = 1, behind=2)
+                distx.append(block)
+        self.distributionImages = dist
+
+    def drawStaticObjects(self, state):
+        layout = self.layout
+        self.drawWalls(layout.walls)
+        self.food = self.drawFood(layout.food)
+        self.capsules = self.drawCapsules(layout.capsules)
+        refresh()
+
+    def drawAgentObjects(self, state):
+        self.agentImages = [] # (agentState, image)
+        for index, agent in enumerate(state.agentStates):
+            if agent.isPacman:
+                image = self.drawPacman(agent, index)
+                self.agentImages.append( (agent, image) )
+            else:
+                image = self.drawGhost(agent, index)
+                self.agentImages.append( (agent, image) )
+        refresh()
+
+    def swapImages(self, agentIndex, newState):
+        """
+          Changes an image from a ghost to a pacman or vis versa (for capture)
+        """
+        prevState, prevImage = self.agentImages[agentIndex]
+        for item in prevImage: remove_from_screen(item)
+        if newState.isPacman:
+            image = self.drawPacman(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        else:
+            image = self.drawGhost(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        refresh()
+
+    def update(self, newState):
+        agentIndex = newState._agentMoved
+        agentState = newState.agentStates[agentIndex]
+
+        if self.agentImages[agentIndex][0].isPacman != agentState.isPacman: self.swapImages(agentIndex, agentState)
+        prevState, prevImage = self.agentImages[agentIndex]
+        if agentState.isPacman:
+            self.animatePacman(agentState, prevState, prevImage)
+        else:
+            self.moveGhost(agentState, agentIndex, prevState, prevImage)
+        self.agentImages[agentIndex] = (agentState, prevImage)
+
+        if newState._foodEaten != None:
+            self.removeFood(newState._foodEaten, self.food)
+        if newState._capsuleEaten != None:
+            self.removeCapsule(newState._capsuleEaten, self.capsules)
+        self.infoPane.updateScore(newState.score)
+        if 'ghostDistances' in dir(newState):
+            self.infoPane.updateGhostDistances(newState.ghostDistances)
+
+    def make_window(self, width, height):
+        grid_width = (width-1) * self.gridSize
+        grid_height = (height-1) * self.gridSize
+        screen_width = 2*self.gridSize + grid_width
+        screen_height = 2*self.gridSize + grid_height + INFO_PANE_HEIGHT
+
+        begin_graphics(screen_width,
+                       screen_height,
+                       BACKGROUND_COLOR,
+                       "CS188 Pacman")
+
+    def drawPacman(self, pacman, index):
+        position = self.getPosition(pacman)
+        screen_point = self.to_screen(position)
+        endpoints = self.getEndpoints(self.getDirection(pacman))
+
+        width = PACMAN_OUTLINE_WIDTH
+        outlineColor = PACMAN_COLOR
+        fillColor = PACMAN_COLOR
+
+        if self.capture:
+            outlineColor = TEAM_COLORS[index % 2]
+            fillColor = GHOST_COLORS[index]
+            width = PACMAN_CAPTURE_OUTLINE_WIDTH
+
+        return [circle(screen_point, PACMAN_SCALE * self.gridSize,
+                       fillColor = fillColor, outlineColor = outlineColor,
+                       endpoints = endpoints,
+                       width = width)]
+
+    def getEndpoints(self, direction, position=(0,0)):
+        x, y = position
+        pos = x - int(x) + y - int(y)
+        width = 30 + 80 * math.sin(math.pi* pos)
+
+        delta = width / 2
+        if (direction == 'West'):
+            endpoints = (180+delta, 180-delta)
+        elif (direction == 'North'):
+            endpoints = (90+delta, 90-delta)
+        elif (direction == 'South'):
+            endpoints = (270+delta, 270-delta)
+        else:
+            endpoints = (0+delta, 0-delta)
+        return endpoints
+
+    def movePacman(self, position, direction, image):
+        screenPosition = self.to_screen(position)
+        endpoints = self.getEndpoints( direction, position )
+        r = PACMAN_SCALE * self.gridSize
+        moveCircle(image[0], screenPosition, r, endpoints)
+        refresh()
+
+    def animatePacman(self, pacman, prevPacman, image):
+        if self.frameTime < 0:
+            print 'Press any key to step forward, "q" to play'
+            keys = wait_for_keys()
+            if 'q' in keys:
+                self.frameTime = 0.1
+        if self.frameTime > 0.01 or self.frameTime < 0:
+            start = time.time()
+            fx, fy = self.getPosition(prevPacman)
+            px, py = self.getPosition(pacman)
+            frames = 4.0
+            for i in range(1,int(frames) + 1):
+                pos = px*i/frames + fx*(frames-i)/frames, py*i/frames + fy*(frames-i)/frames
+                self.movePacman(pos, self.getDirection(pacman), image)
+                refresh()
+                sleep(abs(self.frameTime) / frames)
+        else:
+            self.movePacman(self.getPosition(pacman), self.getDirection(pacman), image)
+        refresh()
+
+    def getGhostColor(self, ghost, ghostIndex):
+        if ghost.scaredTimer > 0:
+            return SCARED_COLOR
+        else:
+            return GHOST_COLORS[ghostIndex]
+
+    def drawGhost(self, ghost, agentIndex):
+        pos = self.getPosition(ghost)
+        dir = self.getDirection(ghost)
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        coords = []
+        for (x, y) in GHOST_SHAPE:
+            coords.append((x*self.gridSize*GHOST_SIZE + screen_x, y*self.gridSize*GHOST_SIZE + screen_y))
+
+        colour = self.getGhostColor(ghost, agentIndex)
+        body = polygon(coords, colour, filled = 1)
+        WHITE = formatColor(1.0, 1.0, 1.0)
+        BLACK = formatColor(0.0, 0.0, 0.0)
+
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        leftEye = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        rightEye = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        leftPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        rightPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        ghostImageParts = []
+        ghostImageParts.append(body)
+        ghostImageParts.append(leftEye)
+        ghostImageParts.append(rightEye)
+        ghostImageParts.append(leftPupil)
+        ghostImageParts.append(rightPupil)
+
+        return ghostImageParts
+
+    def moveEyes(self, pos, dir, eyes):
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        moveCircle(eyes[0],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[1],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[2],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+        moveCircle(eyes[3],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+
+    def moveGhost(self, ghost, ghostIndex, prevGhost, ghostImageParts):
+        old_x, old_y = self.to_screen(self.getPosition(prevGhost))
+        new_x, new_y = self.to_screen(self.getPosition(ghost))
+        delta = new_x - old_x, new_y - old_y
+
+        for ghostImagePart in ghostImageParts:
+            move_by(ghostImagePart, delta)
+        refresh()
+
+        if ghost.scaredTimer > 0:
+            color = SCARED_COLOR
+        else:
+            color = GHOST_COLORS[ghostIndex]
+        edit(ghostImageParts[0], ('fill', color), ('outline', color))
+        self.moveEyes(self.getPosition(ghost), self.getDirection(ghost), ghostImageParts[-4:])
+        refresh()
+
+    def getPosition(self, agentState):
+        if agentState.configuration == None: return (-1000, -1000)
+        return agentState.getPosition()
+
+    def getDirection(self, agentState):
+        if agentState.configuration == None: return Directions.STOP
+        return agentState.configuration.getDirection()
+
+    def finish(self):
+        end_graphics()
+
+    def to_screen(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    # Fixes some TK issue with off-center circles
+    def to_screen2(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    def drawWalls(self, wallMatrix):
+        wallColor = WALL_COLOR
+        for xNum, x in enumerate(wallMatrix):
+            if self.capture and (xNum * 2) < wallMatrix.width: wallColor = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) >= wallMatrix.width: wallColor = TEAM_COLORS[1]
+
+            for yNum, cell in enumerate(x):
+                if cell: # There's a wall here
+                    pos = (xNum, yNum)
+                    screen = self.to_screen(pos)
+                    screen2 = self.to_screen2(pos)
+
+                    # draw each quadrant of the square based on adjacent walls
+                    wIsWall = self.isWall(xNum-1, yNum, wallMatrix)
+                    eIsWall = self.isWall(xNum+1, yNum, wallMatrix)
+                    nIsWall = self.isWall(xNum, yNum+1, wallMatrix)
+                    sIsWall = self.isWall(xNum, yNum-1, wallMatrix)
+                    nwIsWall = self.isWall(xNum-1, yNum+1, wallMatrix)
+                    swIsWall = self.isWall(xNum-1, yNum-1, wallMatrix)
+                    neIsWall = self.isWall(xNum+1, yNum+1, wallMatrix)
+                    seIsWall = self.isWall(xNum+1, yNum-1, wallMatrix)
+
+                    # NE quadrant
+                    if (not nIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (0,91), 'arc')
+                    if (nIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (eIsWall) and (not neIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (180,271), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # NW quadrant
+                    if (not nIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (90,181), 'arc')
+                    if (nIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (wIsWall) and (not nwIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (270,361), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # SE quadrant
+                    if (not sIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (270,361), 'arc')
+                    if (sIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (eIsWall) and (not seIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (90,181), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+                    # SW quadrant
+                    if (not sIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (180,271), 'arc')
+                    if (sIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (wIsWall) and (not swIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (0,91), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+    def isWall(self, x, y, walls):
+        if x < 0 or y < 0:
+            return False
+        if x >= walls.width or y >= walls.height:
+            return False
+        return walls[x][y]
+
+    def drawFood(self, foodMatrix ):
+        foodImages = []
+        color = FOOD_COLOR
+        for xNum, x in enumerate(foodMatrix):
+            if self.capture and (xNum * 2) <= foodMatrix.width: color = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) > foodMatrix.width: color = TEAM_COLORS[1]
+            imageRow = []
+            foodImages.append(imageRow)
+            for yNum, cell in enumerate(x):
+                if cell: # There's food here
+                    screen = self.to_screen((xNum, yNum ))
+                    dot = circle( screen,
+                                  FOOD_SIZE * self.gridSize,
+                                  outlineColor = color, fillColor = color,
+                                  width = 1)
+                    imageRow.append(dot)
+                else:
+                    imageRow.append(None)
+        return foodImages
+
+    def drawCapsules(self, capsules ):
+        capsuleImages = {}
+        for capsule in capsules:
+            ( screen_x, screen_y ) = self.to_screen(capsule)
+            dot = circle( (screen_x, screen_y),
+                              CAPSULE_SIZE * self.gridSize,
+                              outlineColor = CAPSULE_COLOR,
+                              fillColor = CAPSULE_COLOR,
+                              width = 1)
+            capsuleImages[capsule] = dot
+        return capsuleImages
+
+    def removeFood(self, cell, foodImages ):
+        x, y = cell
+        remove_from_screen(foodImages[x][y])
+
+    def removeCapsule(self, cell, capsuleImages ):
+        x, y = cell
+        remove_from_screen(capsuleImages[(x, y)])
+
+    def drawExpandedCells(self, cells):
+        """
+        Draws an overlay of expanded grid positions for search agents
+        """
+        n = float(len(cells))
+        baseColor = [1.0, 0.0, 0.0]
+        self.clearExpandedCells()
+        self.expandedCells = []
+        for k, cell in enumerate(cells):
+            screenPos = self.to_screen( cell)
+            cellColor = formatColor(*[(n-k) * c * .5 / n + .25 for c in baseColor])
+            block = square(screenPos,
+                     0.5 * self.gridSize,
+                     color = cellColor,
+                     filled = 1, behind=2)
+            self.expandedCells.append(block)
+            if self.frameTime < 0:
+                refresh()
+
+    def clearExpandedCells(self):
+        if 'expandedCells' in dir(self) and len(self.expandedCells) > 0:
+            for cell in self.expandedCells:
+                remove_from_screen(cell)
+
+
+    def updateDistributions(self, distributions):
+        "Draws an agent's belief distributions"
+        # copy all distributions so we don't change their state
+        distributions = map(lambda x: x.copy(), distributions)
+        if self.distributionImages == None:
+            self.drawDistributions(self.previousState)
+        for x in range(len(self.distributionImages)):
+            for y in range(len(self.distributionImages[0])):
+                image = self.distributionImages[x][y]
+                weights = [dist[ (x,y) ] for dist in distributions]
+
+                if sum(weights) != 0:
+                    pass
+                # Fog of war
+                color = [0.0,0.0,0.0]
+                colors = GHOST_VEC_COLORS[1:] # With Pacman
+                if self.capture: colors = GHOST_VEC_COLORS
+                for weight, gcolor in zip(weights, colors):
+                    color = [min(1.0, c + 0.95 * g * weight ** .3) for c,g in zip(color, gcolor)]
+                changeColor(image, formatColor(*color))
+        refresh()
+
+class FirstPersonPacmanGraphics(PacmanGraphics):
+    def __init__(self, zoom = 1.0, showGhosts = True, capture = False, frameTime=0):
+        PacmanGraphics.__init__(self, zoom, frameTime=frameTime)
+        self.showGhosts = showGhosts
+        self.capture = capture
+
+    def initialize(self, state, isBlue = False):
+
+        self.isBlue = isBlue
+        PacmanGraphics.startGraphics(self, state)
+        # Initialize distribution images
+        walls = state.layout.walls
+        dist = []
+        self.layout = state.layout
+
+        # Draw the rest
+        self.distributionImages = None  # initialize lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def lookAhead(self, config, state):
+        if config.getDirection() == 'Stop':
+            return
+        else:
+            pass
+            # Draw relevant ghosts
+            allGhosts = state.getGhostStates()
+            visibleGhosts = state.getVisibleGhosts()
+            for i, ghost in enumerate(allGhosts):
+                if ghost in visibleGhosts:
+                    self.drawGhost(ghost, i)
+                else:
+                    self.currentGhostImages[i] = None
+
+    def getGhostColor(self, ghost, ghostIndex):
+        return GHOST_COLORS[ghostIndex]
+
+    def getPosition(self, ghostState):
+        if not self.showGhosts and not ghostState.isPacman and ghostState.getPosition()[1] > 1:
+            return (-1000, -1000)
+        else:
+            return PacmanGraphics.getPosition(self, ghostState)
+
+def add(x, y):
+    return (x[0] + y[0], x[1] + y[1])
+
+
+# Saving graphical output
+# -----------------------
+# Note: to make an animated gif from this postscript output, try the command:
+# convert -delay 7 -loop 1 -compress lzw -layers optimize frame* out.gif
+# convert is part of imagemagick (freeware)
+
+SAVE_POSTSCRIPT = False
+POSTSCRIPT_OUTPUT_DIR = 'frames'
+FRAME_NUMBER = 0
+import os
+
+def saveFrame():
+    "Saves the current graphical output as a postscript file"
+    global SAVE_POSTSCRIPT, FRAME_NUMBER, POSTSCRIPT_OUTPUT_DIR
+    if not SAVE_POSTSCRIPT: return
+    if not os.path.exists(POSTSCRIPT_OUTPUT_DIR): os.mkdir(POSTSCRIPT_OUTPUT_DIR)
+    name = os.path.join(POSTSCRIPT_OUTPUT_DIR, 'frame_%08d.ps' % FRAME_NUMBER)
+    FRAME_NUMBER += 1
+    writePostscript(name) # writes the current canvas
diff --git a/cs188-projects-master/P1 Search/graphicsDisplay.pyc b/cs188-projects-master/P1 Search/graphicsDisplay.pyc
new file mode 100644
index 0000000..d5fba0b
Binary files /dev/null and b/cs188-projects-master/P1 Search/graphicsDisplay.pyc differ
diff --git a/cs188-projects-master/P1 Search/graphicsUtils.py b/cs188-projects-master/P1 Search/graphicsUtils.py
new file mode 100644
index 0000000..b80d3d2
--- /dev/null
+++ b/cs188-projects-master/P1 Search/graphicsUtils.py	
@@ -0,0 +1,402 @@
+# graphicsUtils.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import math
+import random
+import string
+import time
+import types
+import Tkinter
+import os.path
+
+_Windows = sys.platform == 'win32'  # True if on Win95/98/NT
+
+_root_window = None      # The root window for graphics output
+_canvas = None      # The canvas which holds graphics
+_canvas_xs = None      # Size of canvas object
+_canvas_ys = None
+_canvas_x = None      # Current position on canvas
+_canvas_y = None
+_canvas_col = None      # Current colour (set to black below)
+_canvas_tsize = 12
+_canvas_tserifs = 0
+
+def formatColor(r, g, b):
+    return '#%02x%02x%02x' % (int(r * 255), int(g * 255), int(b * 255))
+
+def colorToVector(color):
+    return map(lambda x: int(x, 16) / 256.0, [color[1:3], color[3:5], color[5:7]])
+
+if _Windows:
+    _canvas_tfonts = ['times new roman', 'lucida console']
+else:
+    _canvas_tfonts = ['times', 'lucidasans-24']
+    pass # XXX need defaults here
+
+def sleep(secs):
+    global _root_window
+    if _root_window == None:
+        time.sleep(secs)
+    else:
+        _root_window.update_idletasks()
+        _root_window.after(int(1000 * secs), _root_window.quit)
+        _root_window.mainloop()
+
+def begin_graphics(width=640, height=480, color=formatColor(0, 0, 0), title=None):
+
+    global _root_window, _canvas, _canvas_x, _canvas_y, _canvas_xs, _canvas_ys, _bg_color
+
+    # Check for duplicate call
+    if _root_window is not None:
+        # Lose the window.
+        _root_window.destroy()
+
+    # Save the canvas size parameters
+    _canvas_xs, _canvas_ys = width - 1, height - 1
+    _canvas_x, _canvas_y = 0, _canvas_ys
+    _bg_color = color
+
+    # Create the root window
+    _root_window = Tkinter.Tk()
+    _root_window.protocol('WM_DELETE_WINDOW', _destroy_window)
+    _root_window.title(title or 'Graphics Window')
+    _root_window.resizable(0, 0)
+
+    # Create the canvas object
+    try:
+        _canvas = Tkinter.Canvas(_root_window, width=width, height=height)
+        _canvas.pack()
+        draw_background()
+        _canvas.update()
+    except:
+        _root_window = None
+        raise
+
+    # Bind to key-down and key-up events
+    _root_window.bind( "", _keypress )
+    _root_window.bind( "", _keyrelease )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _leftclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _ctrl_leftclick)
+    _clear_keys()
+
+_leftclick_loc = None
+_rightclick_loc = None
+_ctrl_leftclick_loc = None
+
+def _leftclick(event):
+    global _leftclick_loc
+    _leftclick_loc = (event.x, event.y)
+
+def _rightclick(event):
+    global _rightclick_loc
+    _rightclick_loc = (event.x, event.y)
+
+def _ctrl_leftclick(event):
+    global _ctrl_leftclick_loc
+    _ctrl_leftclick_loc = (event.x, event.y)
+
+def wait_for_click():
+    while True:
+        global _leftclick_loc
+        global _rightclick_loc
+        global _ctrl_leftclick_loc
+        if _leftclick_loc != None:
+            val = _leftclick_loc
+            _leftclick_loc = None
+            return val, 'left'
+        if _rightclick_loc != None:
+            val = _rightclick_loc
+            _rightclick_loc = None
+            return val, 'right'
+        if _ctrl_leftclick_loc != None:
+            val = _ctrl_leftclick_loc
+            _ctrl_leftclick_loc = None
+            return val, 'ctrl_left'
+        sleep(0.05)
+
+def draw_background():
+    corners = [(0,0), (0, _canvas_ys), (_canvas_xs, _canvas_ys), (_canvas_xs, 0)]
+    polygon(corners, _bg_color, fillColor=_bg_color, filled=True, smoothed=False)
+
+def _destroy_window(event=None):
+    sys.exit(0)
+#    global _root_window
+#    _root_window.destroy()
+#    _root_window = None
+    #print "DESTROY"
+
+def end_graphics():
+    global _root_window, _canvas, _mouse_enabled
+    try:
+        try:
+            sleep(1)
+            if _root_window != None:
+                _root_window.destroy()
+        except SystemExit, e:
+            print 'Ending graphics raised an exception:', e
+    finally:
+        _root_window = None
+        _canvas = None
+        _mouse_enabled = 0
+        _clear_keys()
+
+def clear_screen(background=None):
+    global _canvas_x, _canvas_y
+    _canvas.delete('all')
+    draw_background()
+    _canvas_x, _canvas_y = 0, _canvas_ys
+
+def polygon(coords, outlineColor, fillColor=None, filled=1, smoothed=1, behind=0, width=1):
+    c = []
+    for coord in coords:
+        c.append(coord[0])
+        c.append(coord[1])
+    if fillColor == None: fillColor = outlineColor
+    if filled == 0: fillColor = ""
+    poly = _canvas.create_polygon(c, outline=outlineColor, fill=fillColor, smooth=smoothed, width=width)
+    if behind > 0:
+        _canvas.tag_lower(poly, behind) # Higher should be more visible
+    return poly
+
+def square(pos, r, color, filled=1, behind=0):
+    x, y = pos
+    coords = [(x - r, y - r), (x + r, y - r), (x + r, y + r), (x - r, y + r)]
+    return polygon(coords, color, color, filled, 0, behind=behind)
+
+def circle(pos, r, outlineColor, fillColor, endpoints=None, style='pieslice', width=2):
+    x, y = pos
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    return _canvas.create_arc(x0, y0, x1, y1, outline=outlineColor, fill=fillColor,
+                              extent=e[1] - e[0], start=e[0], style=style, width=width)
+
+def image(pos, file="../../blueghost.gif"):
+    x, y = pos
+    # img = PhotoImage(file=file)
+    return _canvas.create_image(x, y, image = Tkinter.PhotoImage(file=file), anchor = Tkinter.NW)
+
+
+def refresh():
+    _canvas.update_idletasks()
+
+def moveCircle(id, pos, r, endpoints=None):
+    global _canvas_x, _canvas_y
+
+    x, y = pos
+#    x0, x1 = x - r, x + r + 1
+#    y0, y1 = y - r, y + r + 1
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    if os.path.isfile('flag'):
+        edit(id, ('extent', e[1] - e[0]))
+    else:
+        edit(id, ('start', e[0]), ('extent', e[1] - e[0]))
+    move_to(id, x0, y0)
+
+def edit(id, *args):
+    _canvas.itemconfigure(id, **dict(args))
+
+def text(pos, color, contents, font='Helvetica', size=12, style='normal', anchor="nw"):
+    global _canvas_x, _canvas_y
+    x, y = pos
+    font = (font, str(size), style)
+    return _canvas.create_text(x, y, fill=color, text=contents, font=font, anchor=anchor)
+
+def changeText(id, newText, font=None, size=12, style='normal'):
+    _canvas.itemconfigure(id, text=newText)
+    if font != None:
+        _canvas.itemconfigure(id, font=(font, '-%d' % size, style))
+
+def changeColor(id, newColor):
+    _canvas.itemconfigure(id, fill=newColor)
+
+def line(here, there, color=formatColor(0, 0, 0), width=2):
+    x0, y0 = here[0], here[1]
+    x1, y1 = there[0], there[1]
+    return _canvas.create_line(x0, y0, x1, y1, fill=color, width=width)
+
+##############################################################################
+### Keypress handling ########################################################
+##############################################################################
+
+# We bind to key-down and key-up events.
+
+_keysdown = {}
+_keyswaiting = {}
+# This holds an unprocessed key release.  We delay key releases by up to
+# one call to keys_pressed() to get round a problem with auto repeat.
+_got_release = None
+
+def _keypress(event):
+    global _got_release
+    #remap_arrows(event)
+    _keysdown[event.keysym] = 1
+    _keyswaiting[event.keysym] = 1
+#    print event.char, event.keycode
+    _got_release = None
+
+def _keyrelease(event):
+    global _got_release
+    #remap_arrows(event)
+    try:
+        del _keysdown[event.keysym]
+    except:
+        pass
+    _got_release = 1
+
+def remap_arrows(event):
+    # TURN ARROW PRESSES INTO LETTERS (SHOULD BE IN KEYBOARD AGENT)
+    if event.char in ['a', 's', 'd', 'w']:
+        return
+    if event.keycode in [37, 101]: # LEFT ARROW (win / x)
+        event.char = 'a'
+    if event.keycode in [38, 99]: # UP ARROW
+        event.char = 'w'
+    if event.keycode in [39, 102]: # RIGHT ARROW
+        event.char = 'd'
+    if event.keycode in [40, 104]: # DOWN ARROW
+        event.char = 's'
+
+def _clear_keys(event=None):
+    global _keysdown, _got_release, _keyswaiting
+    _keysdown = {}
+    _keyswaiting = {}
+    _got_release = None
+
+def keys_pressed(d_o_e=Tkinter.tkinter.dooneevent,
+                 d_w=Tkinter.tkinter.DONT_WAIT):
+    d_o_e(d_w)
+    if _got_release:
+        d_o_e(d_w)
+    return _keysdown.keys()
+
+def keys_waiting():
+    global _keyswaiting
+    keys = _keyswaiting.keys()
+    _keyswaiting = {}
+    return keys
+
+# Block for a list of keys...
+
+def wait_for_keys():
+    keys = []
+    while keys == []:
+        keys = keys_pressed()
+        sleep(0.05)
+    return keys
+
+def remove_from_screen(x,
+                       d_o_e=Tkinter.tkinter.dooneevent,
+                       d_w=Tkinter.tkinter.DONT_WAIT):
+    _canvas.delete(x)
+    d_o_e(d_w)
+
+def _adjust_coords(coord_list, x, y):
+    for i in range(0, len(coord_list), 2):
+        coord_list[i] = coord_list[i] + x
+        coord_list[i + 1] = coord_list[i + 1] + y
+    return coord_list
+
+def move_to(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT):
+    if y is None:
+        try: x, y = x
+        except: raise  'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    current_x, current_y = _canvas.coords(object)[0:2] # first point
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x - current_x
+        else:
+            inc = y - current_y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+
+def move_by(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT, lift=False):
+    if y is None:
+        try: x, y = x
+        except: raise Exception, 'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x
+        else:
+            inc = y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+    if lift:
+        _canvas.tag_raise(object)
+
+def writePostscript(filename):
+    "Writes the current canvas to a postscript file."
+    psfile = file(filename, 'w')
+    psfile.write(_canvas.postscript(pageanchor='sw',
+                     y='0.c',
+                     x='0.c'))
+    psfile.close()
+
+ghost_shape = [
+    (0, - 0.5),
+    (0.25, - 0.75),
+    (0.5, - 0.5),
+    (0.75, - 0.75),
+    (0.75, 0.5),
+    (0.5, 0.75),
+    (- 0.5, 0.75),
+    (- 0.75, 0.5),
+    (- 0.75, - 0.75),
+    (- 0.5, - 0.5),
+    (- 0.25, - 0.75)
+  ]
+
+if __name__ == '__main__':
+    begin_graphics()
+    clear_screen()
+    ghost_shape = [(x * 10 + 20, y * 10 + 20) for x, y in ghost_shape]
+    g = polygon(ghost_shape, formatColor(1, 1, 1))
+    move_to(g, (50, 50))
+    circle((150, 150), 20, formatColor(0.7, 0.3, 0.0), endpoints=[15, - 15])
+    sleep(2)
diff --git a/cs188-projects-master/P1 Search/graphicsUtils.pyc b/cs188-projects-master/P1 Search/graphicsUtils.pyc
new file mode 100644
index 0000000..0d04ce2
Binary files /dev/null and b/cs188-projects-master/P1 Search/graphicsUtils.pyc differ
diff --git a/cs188-projects-master/P1 Search/keyboardAgents.py b/cs188-projects-master/P1 Search/keyboardAgents.py
new file mode 100644
index 0000000..c7d9fcf
--- /dev/null
+++ b/cs188-projects-master/P1 Search/keyboardAgents.py	
@@ -0,0 +1,84 @@
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+import random
+
+class KeyboardAgent(Agent):
+    """
+    An agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'a'
+    EAST_KEY  = 'd'
+    NORTH_KEY = 'w'
+    SOUTH_KEY = 's'
+    STOP_KEY = 'q'
+
+    def __init__( self, index = 0 ):
+
+        self.lastMove = Directions.STOP
+        self.index = index
+        self.keys = []
+
+    def getAction( self, state):
+        from graphicsUtils import keys_waiting
+        from graphicsUtils import keys_pressed
+        keys = keys_waiting() + keys_pressed()
+        if keys != []:
+            self.keys = keys
+
+        legal = state.getLegalActions(self.index)
+        move = self.getMove(legal)
+
+        if move == Directions.STOP:
+            # Try to move in the same direction as before
+            if self.lastMove in legal:
+                move = self.lastMove
+
+        if (self.STOP_KEY in self.keys) and Directions.STOP in legal: move = Directions.STOP
+
+        if move not in legal:
+            move = random.choice(legal)
+
+        self.lastMove = move
+        return move
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys or 'Left' in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys or 'Right' in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys or 'Up' in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys or 'Down' in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
+
+class KeyboardAgent2(KeyboardAgent):
+    """
+    A second agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'j'
+    EAST_KEY  = "l"
+    NORTH_KEY = 'i'
+    SOUTH_KEY = 'k'
+    STOP_KEY = 'u'
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
diff --git a/cs188-projects-master/P1 Search/keyboardAgents.pyc b/cs188-projects-master/P1 Search/keyboardAgents.pyc
new file mode 100644
index 0000000..0f97cca
Binary files /dev/null and b/cs188-projects-master/P1 Search/keyboardAgents.pyc differ
diff --git a/cs188-projects-master/P1 Search/layout.py b/cs188-projects-master/P1 Search/layout.py
new file mode 100644
index 0000000..c6b377d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layout.py	
@@ -0,0 +1,149 @@
+# layout.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Grid
+import os
+import random
+
+VISIBILITY_MATRIX_CACHE = {}
+
+class Layout:
+    """
+    A Layout manages the static information about the game board.
+    """
+
+    def __init__(self, layoutText):
+        self.width = len(layoutText[0])
+        self.height= len(layoutText)
+        self.walls = Grid(self.width, self.height, False)
+        self.food = Grid(self.width, self.height, False)
+        self.capsules = []
+        self.agentPositions = []
+        self.numGhosts = 0
+        self.processLayoutText(layoutText)
+        self.layoutText = layoutText
+        self.totalFood = len(self.food.asList())
+        # self.initializeVisibilityMatrix()
+
+    def getNumGhosts(self):
+        return self.numGhosts
+
+    def initializeVisibilityMatrix(self):
+        global VISIBILITY_MATRIX_CACHE
+        if reduce(str.__add__, self.layoutText) not in VISIBILITY_MATRIX_CACHE:
+            from game import Directions
+            vecs = [(-0.5,0), (0.5,0),(0,-0.5),(0,0.5)]
+            dirs = [Directions.NORTH, Directions.SOUTH, Directions.WEST, Directions.EAST]
+            vis = Grid(self.width, self.height, {Directions.NORTH:set(), Directions.SOUTH:set(), Directions.EAST:set(), Directions.WEST:set(), Directions.STOP:set()})
+            for x in range(self.width):
+                for y in range(self.height):
+                    if self.walls[x][y] == False:
+                        for vec, direction in zip(vecs, dirs):
+                            dx, dy = vec
+                            nextx, nexty = x + dx, y + dy
+                            while (nextx + nexty) != int(nextx) + int(nexty) or not self.walls[int(nextx)][int(nexty)] :
+                                vis[x][y][direction].add((nextx, nexty))
+                                nextx, nexty = x + dx, y + dy
+            self.visibility = vis
+            VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)] = vis
+        else:
+            self.visibility = VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)]
+
+    def isWall(self, pos):
+        x, col = pos
+        return self.walls[x][col]
+
+    def getRandomLegalPosition(self):
+        x = random.choice(range(self.width))
+        y = random.choice(range(self.height))
+        while self.isWall( (x, y) ):
+            x = random.choice(range(self.width))
+            y = random.choice(range(self.height))
+        return (x,y)
+
+    def getRandomCorner(self):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        return random.choice(poses)
+
+    def getFurthestCorner(self, pacPos):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        dist, pos = max([(manhattanDistance(p, pacPos), p) for p in poses])
+        return pos
+
+    def isVisibleFrom(self, ghostPos, pacPos, pacDirection):
+        row, col = [int(x) for x in pacPos]
+        return ghostPos in self.visibility[row][col][pacDirection]
+
+    def __str__(self):
+        return "\n".join(self.layoutText)
+
+    def deepCopy(self):
+        return Layout(self.layoutText[:])
+
+    def processLayoutText(self, layoutText):
+        """
+        Coordinates are flipped from the input format to the (x,y) convention here
+
+        The shape of the maze.  Each character
+        represents a different type of object.
+         % - Wall
+         . - Food
+         o - Capsule
+         G - Ghost
+         P - Pacman
+        Other characters are ignored.
+        """
+        maxY = self.height - 1
+        for y in range(self.height):
+            for x in range(self.width):
+                layoutChar = layoutText[maxY - y][x]
+                self.processLayoutChar(x, y, layoutChar)
+        self.agentPositions.sort()
+        self.agentPositions = [ ( i == 0, pos) for i, pos in self.agentPositions]
+
+    def processLayoutChar(self, x, y, layoutChar):
+        if layoutChar == '%':
+            self.walls[x][y] = True
+        elif layoutChar == '.':
+            self.food[x][y] = True
+        elif layoutChar == 'o':
+            self.capsules.append((x, y))
+        elif layoutChar == 'P':
+            self.agentPositions.append( (0, (x, y) ) )
+        elif layoutChar in ['G']:
+            self.agentPositions.append( (1, (x, y) ) )
+            self.numGhosts += 1
+        elif layoutChar in  ['1', '2', '3', '4']:
+            self.agentPositions.append( (int(layoutChar), (x,y)))
+            self.numGhosts += 1
+def getLayout(name, back = 2):
+    if name.endswith('.lay'):
+        layout = tryToLoad('layouts/' + name)
+        if layout == None: layout = tryToLoad(name)
+    else:
+        layout = tryToLoad('layouts/' + name + '.lay')
+        if layout == None: layout = tryToLoad(name + '.lay')
+    if layout == None and back >= 0:
+        curdir = os.path.abspath('.')
+        os.chdir('..')
+        layout = getLayout(name, back -1)
+        os.chdir(curdir)
+    return layout
+
+def tryToLoad(fullname):
+    if(not os.path.exists(fullname)): return None
+    f = open(fullname)
+    try: return Layout([line.strip() for line in f])
+    finally: f.close()
diff --git a/cs188-projects-master/P1 Search/layout.pyc b/cs188-projects-master/P1 Search/layout.pyc
new file mode 100644
index 0000000..eb05e3f
Binary files /dev/null and b/cs188-projects-master/P1 Search/layout.pyc differ
diff --git a/cs188-projects-master/P1 Search/layouts/bigCorners.lay b/cs188-projects-master/P1 Search/layouts/bigCorners.lay
new file mode 100644
index 0000000..4d89d7b
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/bigCorners.lay	
@@ -0,0 +1,37 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.      %                         %.%
+%         %%%%% % %%% %%% %%%%%%% % %
+%       %       % %     %     % %   %
+%%%%% %%%%% %%% % % % %%% %%%%% % %%%
+%   % % % %   % % % %   % %     %   %
+% %%% % % % %%% %%%%% %%% % %%% %%% %
+%       %     %   %   %     % % %   %
+%%% %%%%%%%%% %%%%%%% %%% %%% % % % %
+%             %       % %   %     % %
+% % %%%%% % %%% % % %%% % %%% %%% % %
+% % %     % % % % %     %   % % % % %
+% % % %%%%%%% % %%%%%%%%% %%% % %%% %
+% % % %     %   %     %     %   %   %
+%%% %%% % %%%%% %%%%% %%% %%% %%%%% %
+%     % %               % %   % % % %
+% % % % %  %  %%% %%% %%% % % % % % %
+% % % % % %%  % % % % %   % % %     %
+% % %%%%%  %  %%% %%% % %%% %%% %%%%%
+%       %  %  % % % % %       % %   %
+% %%% % %  %  %%% %%% %%%%%%%%% % %%%
+%   % %                   %   % %   %
+% %%% %%%%%%%%%%%%%%%%%%%%% % % %%% %
+% %                         %       %
+% % % %%%%% %%% % % % % %%%%%%%%%%%%%
+% % %   %     % % % %       %   % % %
+% % %%% %%% % % % %%%%%%%%% %%% % % %
+% %   % %   % % %P  % %   % % %     %
+% %%% %%% %%% % %%% % % %%%%% % %%%%%
+%       %   %     %       %   % %   %
+%%% % %%%%% %%%%% %%% %%% % %%% % %%%
+% % % % % % % %     % %   % %   % % %
+% % %%% % % % % %%%%%%%%% % % % % % %
+%       %                     %     %
+% %   % %%% %%% %%%%%%% %%% %%% %%% %
+%.%   %       %           %     %  .%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/bigMaze.lay b/cs188-projects-master/P1 Search/layouts/bigMaze.lay
new file mode 100644
index 0000000..e11fade
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/bigMaze.lay	
@@ -0,0 +1,37 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%       % % %           %   %     % %
+% %%%%%%% % %%% % %%% %%% %%%%%%% % %
+%       %       % %     %     % %   %
+%%%%% %%%%% %%% % % % %%% %%%%% % %%%
+%   % % % %   % % % %   % %   % %   %
+% %%% % % % %%% %%%%% %%% % %%% %%% %
+%       %     %   %   %     % % %   %
+%%% %%%%%%%%% %%%%%%% %%% %%% % % % %
+%             %       % %   %     % %
+% % %%%%% % %%% % % %%% % %%% %%% % %
+% % %     % % % % %     %   % % % % %
+% % % %%%%%%% % %%%%%%%%% %%% % %%% %
+% % % %     %   %     %     %   %   %
+%%% %%% % %%%%% %%%%% %%% %%% %%%%% %
+%     % % %     % %     % %   % % % %
+% % % % % %%% %%% %%% %%% % % % % % %
+% % % % %                 % % %     %
+%%% %%%%%%% % % %%%%% %%% % %%% %%%%%
+%       % % % %     %   %     % %   %
+%%%%% % % %%%%%%%%% %%%%%%%%%%% % %%%
+%   % %           % %     %   % %   %
+% %%% %%%%% %%%%%%%%% %%%%% % % %%% %
+% %   %      %        %     %       %
+% % % %%%%% %%% % % % % %%%%%%%%%%%%%
+% % %   %     % % % %       %   % % %
+% % %%% %%% % % % %%%%%%%%% %%% % % %
+% %   % %   % % %   % %   % % %     %
+% %%% %%% %%%%% %%% % % %%%%% % %%%%%
+%       %   %     % %     %   % %   %
+%%% % %%%%% %%%%% %%% %%% % %%% % %%%
+% % % % % % % %     % %   % %   % % %
+% % %%% % % % % %%%%%%%%% % % % % % %
+%   %   %   %                 %     %
+% % % % %%% %%% %%%%%%% %%% %%% %%% %
+%.% % %       %   %       %   % %  P%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/bigSafeSearch.lay b/cs188-projects-master/P1 Search/layouts/bigSafeSearch.lay
new file mode 100644
index 0000000..b5fd414
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/bigSafeSearch.lay	
@@ -0,0 +1,8 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.%.........%% G %  o%%%%.....%
+%.%.%%%%%%%.%%%%%% %%%%%%%.%%.%
+%............%...%............%
+%%%%%...%%%..     ..%.%...%.%%%
+%o%%%.%%%%%.%%%%%%%.%%%.%.%%%%%
+%    ..........Po...%...%.   o%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/bigSearch.lay b/cs188-projects-master/P1 Search/layouts/bigSearch.lay
new file mode 100644
index 0000000..bb59eb8
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/bigSearch.lay	
@@ -0,0 +1,15 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.....%.................%.....%
+%.%%%.%.%%%.%%%%%%%.%%%.%.....%
+%.%...%.%......%......%.%.....%
+%...%%%.%.%%%%.%.%%%%...%%%...%
+%%%.%.%.%.%......%..%.%...%.%%%
+%...%.%%%.%.%%% %%%.%.%%%.%...%
+%.%%%.......%     %.......%%%.%
+%...%.%%%%%.%%%%%%%.%.%%%.%...%
+%%%.%...%.%....%....%.%...%.%%%
+%...%%%.%.%%%%.%.%%%%.%.%%%...%
+%.......%......%......%.....%.%
+%.....%.%%%.%%%%%%%.%%%.%.%%%.%
+%.....%........P....%...%.....%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/boxSearch.lay b/cs188-projects-master/P1 Search/layouts/boxSearch.lay
new file mode 100644
index 0000000..4a113fc
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/boxSearch.lay	
@@ -0,0 +1,14 @@
+%%%%%%%%%%%%%%
+%. . . . . % %
+%          % %
+%. . . . . %G%
+%          % %
+%. . . . . % %
+%          % %
+%. . . . . % %
+%     P    %G%
+%. . . . . % %
+%          % %
+%. . . . . % %
+%          % %
+%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/capsuleClassic.lay b/cs188-projects-master/P1 Search/layouts/capsuleClassic.lay
new file mode 100644
index 0000000..06a5c51
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/capsuleClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%
+%G.       G   ....%
+%.% % %%%%%% %.%%.%
+%.%o% %   o% %.o%.%
+%.%%%.%  %%% %..%.%
+%.....  P    %..%G%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/contestClassic.lay b/cs188-projects-master/P1 Search/layouts/contestClassic.lay
new file mode 100644
index 0000000..84c8733
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/contestClassic.lay	
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%...... G GG%......%
+%.%.%%.%% %%%.%%.%.%
+%.%....% ooo%.%..%.%
+%.%.%%.% %% %.%.%%.%
+%o%......P....%....%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/contoursMaze.lay b/cs188-projects-master/P1 Search/layouts/contoursMaze.lay
new file mode 100644
index 0000000..a068956
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/contoursMaze.lay	
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%%%%%%%
+%                   %
+%                   %
+%                   %
+%                   %
+%         P         %
+%                   %
+%                   %
+%                   %
+%.                  %
+%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/greedySearch.lay b/cs188-projects-master/P1 Search/layouts/greedySearch.lay
new file mode 100644
index 0000000..4072363
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/greedySearch.lay	
@@ -0,0 +1,8 @@
+%%%%%%
+%....%
+% %%.%
+% %%.%
+%.P .%
+%.%%%%
+%....%
+%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/mediumClassic.lay b/cs188-projects-master/P1 Search/layouts/mediumClassic.lay
new file mode 100644
index 0000000..33c5db8
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/mediumClassic.lay	
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%....%
+%.%%.%.%%%%%%.%.%%.%
+%.%..............%.%
+%.%.%%.%%  %%.%%.%.%
+%......%G  G%......%
+%.%.%%.%%%%%%.%%.%.%
+%.%..............%.%
+%.%%.%.%%%%%%.%.%%.%
+%....%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/mediumCorners.lay b/cs188-projects-master/P1 Search/layouts/mediumCorners.lay
new file mode 100644
index 0000000..6a39756
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/mediumCorners.lay	
@@ -0,0 +1,14 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.      % % %              %.%
+%       % % %%%%%% %%%%%%% % %
+%       %        %     % %   %
+%%%%% %%%%% %%% %% %%%%% % %%%
+%   % % % %   %    %     %   %
+% %%% % % % %%%%%%%% %%% %%% %
+%       %     %%     % % %   %
+%%% % %%%%%%% %%%% %%% % % % %
+% %           %%     %     % %
+% % %%%%% % %%%% % %%% %%% % %
+%   %     %      % %   % %%% %
+%.  %P%%%%%      % %%% %    .%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/mediumDottedMaze.lay b/cs188-projects-master/P1 Search/layouts/mediumDottedMaze.lay
new file mode 100644
index 0000000..103f818
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/mediumDottedMaze.lay	
@@ -0,0 +1,18 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%% %%% %%%%%%%% %
+% %%   %   %      %%% %%%   %% ... %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % % %    %%     %% %% ... %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%  ... % 
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %% ... %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %  ... %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%% ...... %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/mediumMaze.lay b/cs188-projects-master/P1 Search/layouts/mediumMaze.lay
new file mode 100644
index 0000000..55c1236
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/mediumMaze.lay	
@@ -0,0 +1,18 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% %
+% %%   %   %      %%%%%%%   %%     %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % %             %% %%     %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%      % 
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %%     %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %      %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%%        %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/mediumSafeSearch.lay b/cs188-projects-master/P1 Search/layouts/mediumSafeSearch.lay
new file mode 100644
index 0000000..e7d6b1c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/mediumSafeSearch.lay	
@@ -0,0 +1,6 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.%     ....%% G %%%%%%   o%%.%
+%.%o%%%%%%%.%%%%%%%     %%%%%.%
+% %%%.%%%%%.%%%%%%%.%%%.%.%%%.%
+%    ..........Po...%.........%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/mediumScaryMaze.lay b/cs188-projects-master/P1 Search/layouts/mediumScaryMaze.lay
new file mode 100644
index 0000000..65d4c33
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/mediumScaryMaze.lay	
@@ -0,0 +1,18 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                   P%
+% %%%%%%%%%%%%%%%%%%% %%%  %%%%%%%%  %
+% %%   %   %      %%% %%%    %%GG    %
+% %% % % % % %%%% %%%%%%%%%  %%  %%%%%
+% %% % % % % %    %%GG       %%      %
+% %% % % % % % %%%%%  %%%    %%%%%%  %
+% %% % % %   %    %%  %%%%%%%%%      % 
+% %% % % %%%%%%%% %%         %%  %%%%%
+% %% %   %%       %%%%%%%%%  %%      %
+%    %%% %% %%%%%%%      %%  %%%%%%  %
+%%%%%%      %       %    %%  %%      %
+%      %%%%%% %%   %%    %%  %%  %%%%%
+% %%%%%%      %       %%%%%  %%      %
+%          %%%%       %%%%%  %%%%%%  %
+%%%%%%%%   %                 %%%%%%  %
+%.         %%%%%%%%%%%%%%%%          %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/mediumSearch.lay b/cs188-projects-master/P1 Search/layouts/mediumSearch.lay
new file mode 100644
index 0000000..2f8af42
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/mediumSearch.lay	
@@ -0,0 +1,8 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%............%%%%%............%
+%%%.%...%%%.........%.%...%.%%%
+%...%%%.%.%%%%.%.%%%%%%.%%%...%
+%.%.....%......%......%.....%.%
+%.%%%.%%%%%.%%%%%%%.%%%.%.%%%%%
+%.....%........P....%...%.....%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/minimaxClassic.lay b/cs188-projects-master/P1 Search/layouts/minimaxClassic.lay
new file mode 100644
index 0000000..a547397
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/minimaxClassic.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%%
+%.P    G% 
+% %.%G%%%  
+%G    %%% 
+%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/oddSearch.lay b/cs188-projects-master/P1 Search/layouts/oddSearch.lay
new file mode 100644
index 0000000..2ddbc9a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/oddSearch.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%...%.........%%...%
+%.%.%.%%%%%%%%%%.%.%
+%..................%
+%%%%%%%%.%.%%%%%%%P%
+%%%%%%%%.......    %
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/openClassic.lay b/cs188-projects-master/P1 Search/layouts/openClassic.lay
new file mode 100644
index 0000000..6760b42
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/openClassic.lay	
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%
+%.. P  ....      ....   %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      .... G %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      ....  o%
+%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/openMaze.lay b/cs188-projects-master/P1 Search/layouts/openMaze.lay
new file mode 100644
index 0000000..5dee689
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/openMaze.lay	
@@ -0,0 +1,23 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                  P%
+%            %                      %
+%            %                      %
+%            %                      %
+%            %                      %
+%            %                      %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%            %      %               %
+%%%%%%%%%%%%%%      %%%%%%%%%%%%%%%%%
+%            %                      %
+%            %                      %
+%            %                      %
+%                                   %
+%                                   %
+%                                   %
+%.                                  %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/openSearch.lay b/cs188-projects-master/P1 Search/layouts/openSearch.lay
new file mode 100644
index 0000000..f02d21d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/openSearch.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%..................%
+%..................%
+%........P.........%
+%..................%
+%..................%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/originalClassic.lay b/cs188-projects-master/P1 Search/layouts/originalClassic.lay
new file mode 100644
index 0000000..b2770c5
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/originalClassic.lay	
@@ -0,0 +1,27 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o%%%%.%%%%%.%%.%%%%%.%%%%o%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%..........................%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%......%%....%%....%%......%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%  %%%% %.%%%%%%
+%     .  %G  GG  G%  .     %
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o..%%.......  .......%%..o%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%......%%....%%....%%......%
+%.%%%%%%%%%%.%%.%%%%%%%%%%.%
+%.............P............%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/powerClassic.lay b/cs188-projects-master/P1 Search/layouts/powerClassic.lay
new file mode 100644
index 0000000..3f3d983
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/powerClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%o....o%GGGG%o....o%
+%..%...%%  %%...%..%
+%.%o.%........%.o%.%
+%.o%.%.%%%%%%.%.%o.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/smallClassic.lay b/cs188-projects-master/P1 Search/layouts/smallClassic.lay
new file mode 100644
index 0000000..ce6c1d9
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/smallClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/smallMaze.lay b/cs188-projects-master/P1 Search/layouts/smallMaze.lay
new file mode 100644
index 0000000..72d3ffc
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/smallMaze.lay	
@@ -0,0 +1,10 @@
+%%%%%%%%%%%%%%%%%%%%%%
+% %%        % %      %
+%    %%%%%% % %%%%%% %
+%%%%%%     P  %      %
+%    % %%%%%% %% %%%%%
+% %%%% %         %   %
+%        %%% %%%   % %
+%%%%%%%%%%    %%%%%% %
+%.         %%        %
+%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/layouts/smallSafeSearch.lay b/cs188-projects-master/P1 Search/layouts/smallSafeSearch.lay
new file mode 100644
index 0000000..b97feaa
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/smallSafeSearch.lay	
@@ -0,0 +1,15 @@
+%%%%%%%%%
+%.. % G %
+%%% %%%%%
+%       %
+%%%%%%% %
+%       %
+% %%%%% %
+%     % %
+%%%%% % %
+%     %o%
+% %%%%%%%
+%      .%
+%%%%%%%.%
+%Po    .%
+%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/smallSearch.lay b/cs188-projects-master/P1 Search/layouts/smallSearch.lay
new file mode 100644
index 0000000..c2321d4
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/smallSearch.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%%%%%%%%%%%%%
+%.           ...P .%
+%.%%.%%.%%.%%.%% %.%
+% %% %.....      %.%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/testClassic.lay b/cs188-projects-master/P1 Search/layouts/testClassic.lay
new file mode 100644
index 0000000..4b3ffca
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/testClassic.lay	
@@ -0,0 +1,10 @@
+%%%%%
+% . %
+%.G.%
+% . %
+%. .%
+%   %
+%  .%
+%   %
+%P .%
+%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/testMaze.lay b/cs188-projects-master/P1 Search/layouts/testMaze.lay
new file mode 100644
index 0000000..4d259a4
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/testMaze.lay	
@@ -0,0 +1,3 @@
+%%%%%%%%%%
+%.      P%
+%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/testSearch.lay b/cs188-projects-master/P1 Search/layouts/testSearch.lay
new file mode 100644
index 0000000..25bad23
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/testSearch.lay	
@@ -0,0 +1,5 @@
+%%%%%
+%.P %
+%%% %
+%.  %
+%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/tinyCorners.lay b/cs188-projects-master/P1 Search/layouts/tinyCorners.lay
new file mode 100644
index 0000000..526c880
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/tinyCorners.lay	
@@ -0,0 +1,8 @@
+%%%%%%%%
+%.    .%
+%   P  %
+% %%%% %
+% %    %
+% % %%%%
+%.%   .%
+%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/tinyMaze.lay b/cs188-projects-master/P1 Search/layouts/tinyMaze.lay
new file mode 100644
index 0000000..f7035a5
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/tinyMaze.lay	
@@ -0,0 +1,7 @@
+%%%%%%%
+%    P%
+% %%% %
+%  %  %
+%%   %%
+%. %%%%
+%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/tinySafeSearch.lay b/cs188-projects-master/P1 Search/layouts/tinySafeSearch.lay
new file mode 100644
index 0000000..fea6860
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/tinySafeSearch.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%
+% G %...%
+%%%%%%% %
+%Po     %
+%.%%.%%.%
+%.%%....%
+%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/tinySearch.lay b/cs188-projects-master/P1 Search/layouts/tinySearch.lay
new file mode 100644
index 0000000..c51f4b0
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/tinySearch.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%
+%..   ..%
+%%%%.%% %
+%   P   %
+%.%% %%.%
+%.%.   .%
+%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/trappedClassic.lay b/cs188-projects-master/P1 Search/layouts/trappedClassic.lay
new file mode 100644
index 0000000..289557f
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/trappedClassic.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%
+%   P G%
+%G%%%%%%
+%....  %
+%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/trickyClassic.lay b/cs188-projects-master/P1 Search/layouts/trickyClassic.lay
new file mode 100644
index 0000000..ffa156c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/trickyClassic.lay	
@@ -0,0 +1,13 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%.%.....%..%.....%.%
+%.%.%%.%%  %%.%%.%.%
+%...... GGGG%.%....%
+%.%....%%%%%%.%..%.%
+%.%....%  oo%.%..%.%
+%.%....% %%%%.%..%.%
+%.%...........%..%.%
+%.%%.%.%%%%%%.%.%%.%
+%o...%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/layouts/trickySearch.lay b/cs188-projects-master/P1 Search/layouts/trickySearch.lay
new file mode 100644
index 0000000..4a607e6
--- /dev/null
+++ b/cs188-projects-master/P1 Search/layouts/trickySearch.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%.           ..%   %
+%.%%.%%.%%.%%.%% % %
+%        P       % %
+%%%%%%%%%%%%%%%%%% %
+%.....             %
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P1 Search/pacman.py b/cs188-projects-master/P1 Search/pacman.py
new file mode 100644
index 0000000..740451d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/pacman.py	
@@ -0,0 +1,684 @@
+# pacman.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Pacman.py holds the logic for the classic pacman game along with the main
+code to run a game.  This file is divided into three sections:
+
+  (i)  Your interface to the pacman world:
+          Pacman is a complex environment.  You probably don't want to
+          read through all of the code we wrote to make the game runs
+          correctly.  This section contains the parts of the code
+          that you will need to understand in order to complete the
+          project.  There is also some code in game.py that you should
+          understand.
+
+  (ii)  The hidden secrets of pacman:
+          This section contains all of the logic code that the pacman
+          environment uses to decide who can move where, who dies when
+          things collide, etc.  You shouldn't need to read this section
+          of code, but you can if you want.
+
+  (iii) Framework to start a game:
+          The final section contains the code for reading the command
+          you use to set up the game, then starting up a new game, along with
+          linking in all the external parts (agent functions, graphics).
+          Check this section out to see all the options available to you.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from util import nearestPoint
+from util import manhattanDistance
+import util, layout
+import sys, types, time, random, os
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    # static variable keeps track of which states have had getLegalActions called
+    explored = set()
+    def getAndResetExplored():
+        tmp = GameState.explored.copy()
+        GameState.explored = set()
+        return tmp
+    getAndResetExplored = staticmethod(getAndResetExplored)
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+#        GameState.explored.add(self)
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def generateSuccessor( self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+        else:
+            GhostRules.decrementTimer( state.data.agentStates[agentIndex] )
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+        GameState.explored.add(self)
+        GameState.explored.add(state)
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def generatePacmanSuccessor( self, action ):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getGhostStates( self ):
+        return self.data.agentStates[1:]
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0 or agentIndex >= self.getNumAgents():
+            raise Exception("Invalid index passed to getGhostState")
+        return self.data.agentStates[agentIndex]
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise Exception("Pacman's index passed to getGhostPosition")
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostPositions(self):
+        return [s.getPosition() for s in self.getGhostStates()]
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return float(self.data.score)
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is a wall at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+    def isLose( self ):
+        return self.data._lose
+
+    def isWin( self ):
+        return self.data._win
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None: # Initial state
+            self.data = GameStateData(prevState.data)
+        else:
+            self.data = GameStateData()
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return hasattr(other, 'data') and self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( self.data )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+SCARED_TIME = 40    # Moves ghosts are scared
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class ClassicGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+    def __init__(self, timeout=30):
+        self.timeout = timeout
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, quiet = False, catchExceptions=False):
+        agents = [pacmanAgent] + ghostAgents[:layout.getNumGhosts()]
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents) )
+        game = Game(agents, display, self, catchExceptions=catchExceptions)
+        game.state = initState
+        self.initialState = initState.deepCopy()
+        self.quiet = quiet
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        if not self.quiet: print "Pacman emerges victorious! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        if not self.quiet: print "Pacman died! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def getProgress(self, game):
+        return float(game.state.getNumFood()) / self.initialState.getNumFood()
+
+    def agentCrash(self, game, agentIndex):
+        if agentIndex == 0:
+            print "Pacman crashed"
+        else:
+            print "A ghost crashed"
+
+    def getMaxTotalTime(self, agentIndex):
+        return self.timeout
+
+    def getMaxStartupTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveWarningTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveTimeout(self, agentIndex):
+        return self.timeout
+
+    def getMaxTimeWarnings(self, agentIndex):
+        return 0
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    PACMAN_SPEED=1
+
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, PacmanRules.PACMAN_SPEED )
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint( next )
+        if manhattanDistance( nearest, next ) <= 0.5 :
+            # Remove food
+            PacmanRules.consume( nearest, state )
+    applyAction = staticmethod( applyAction )
+
+    def consume( position, state ):
+        x,y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+            # TODO: cache numFood?
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += 500
+                state.data._win = True
+        # Eat capsule
+        if( position in state.getCapsules() ):
+            state.data.capsules.remove( position )
+            state.data._capsuleEaten = position
+            # Reset all ghosts' scared timers
+            for index in range( 1, len( state.data.agentStates ) ):
+                state.data.agentStates[index].scaredTimer = SCARED_TIME
+    consume = staticmethod( consume )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    GHOST_SPEED=1.0
+    def getLegalActions( state, ghostIndex ):
+        """
+        Ghosts cannot stop, and cannot turn around unless they
+        reach a dead end, but can turn 90 degrees at intersections.
+        """
+        conf = state.getGhostState( ghostIndex ).configuration
+        possibleActions = Actions.getPossibleActions( conf, state.data.layout.walls )
+        reverse = Actions.reverseDirection( conf.direction )
+        if Directions.STOP in possibleActions:
+            possibleActions.remove( Directions.STOP )
+        if reverse in possibleActions and len( possibleActions ) > 1:
+            possibleActions.remove( reverse )
+        return possibleActions
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action, ghostIndex):
+
+        legal = GhostRules.getLegalActions( state, ghostIndex )
+        if action not in legal:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        speed = GhostRules.GHOST_SPEED
+        if ghostState.scaredTimer > 0: speed /= 2.0
+        vector = Actions.directionToVector( action, speed )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def decrementTimer( ghostState):
+        timer = ghostState.scaredTimer
+        if timer == 1:
+            ghostState.configuration.pos = nearestPoint( ghostState.configuration.pos )
+        ghostState.scaredTimer = max( 0, timer - 1 )
+    decrementTimer = staticmethod( decrementTimer )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        if ghostState.scaredTimer > 0:
+            state.data.scoreChange += 200
+            GhostRules.placeGhost(state, ghostState)
+            ghostState.scaredTimer = 0
+            # Added for first-person
+            state.data._eaten[agentIndex] = True
+        else:
+            if not state.data._win:
+                state.data.scoreChange -= 500
+                state.data._lose = True
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod( placeGhost )
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python pacman.py 
+    EXAMPLES:   (1) python pacman.py
+                    - starts an interactive game
+                (2) python pacman.py --layout smallClassic --zoom 2
+                OR  python pacman.py -l smallClassic -z 2
+                    - starts an interactive game on a smaller board, zoomed in
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='mediumClassic')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-t', '--textGraphics', action='store_true', dest='textGraphics',
+                      help='Display output as text only', default=False)
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='RandomGhost')
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=4)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed',
+                      help='Fixes the random seed to always play the same game', default=False)
+    parser.add_option('-r', '--recordActions', action='store_true', dest='record',
+                      help='Writes game histories to a file (named by the time they were played)', default=False)
+    parser.add_option('--replay', dest='gameToReplay',
+                      help='A recorded game file (pickle) to replay', default=None)
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma separated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-x', '--numTraining', dest='numTraining', type='int',
+                      help=default('How many episodes are training (suppresses output)'), default=0)
+    parser.add_option('--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-c', '--catchExceptions', action='store_true', dest='catchExceptions',
+                      help='Turns on exception handling and timeouts during games', default=False)
+    parser.add_option('--timeout', dest='timeout', type='int',
+                      help=default('Maximum length of time an agent can spend computing in a single game'), default=30)
+
+    options, otherjunk = parser.parse_args(argv)
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + str(otherjunk))
+    args = dict()
+
+    # Fix the random seed
+    if options.fixRandomSeed: random.seed('cs188')
+
+    # Choose a layout
+    args['layout'] = layout.getLayout( options.layout )
+    if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a Pacman agent
+    noKeyboard = options.gameToReplay == None and (options.textGraphics or options.quietGraphics)
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    if options.numTraining > 0:
+        args['numTraining'] = options.numTraining
+        if 'numTraining' not in agentOpts: agentOpts['numTraining'] = options.numTraining
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    # Don't display training games
+    if 'numTrain' in agentOpts:
+        options.numQuiet = int(agentOpts['numTrain'])
+        options.numIgnore = int(agentOpts['numTrain'])
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, noKeyboard)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a display format
+    if options.quietGraphics:
+        import textDisplay
+        args['display'] = textDisplay.NullGraphics()
+    elif options.textGraphics:
+        import textDisplay
+        textDisplay.SLEEP_TIME = options.frameTime
+        args['display'] = textDisplay.PacmanGraphics()
+    else:
+        import graphicsDisplay
+        args['display'] = graphicsDisplay.PacmanGraphics(options.zoom, frameTime = options.frameTime)
+    args['numGames'] = options.numGames
+    args['record'] = options.record
+    args['catchExceptions'] = options.catchExceptions
+    args['timeout'] = options.timeout
+
+    # Special case: recorded games don't use the runGames method or args structure
+    if options.gameToReplay != None:
+        print 'Replaying recorded game %s.' % options.gameToReplay
+        import cPickle
+        f = open(options.gameToReplay)
+        try: recorded = cPickle.load(f)
+        finally: f.close()
+        recorded['display'] = args['display']
+        replayGame(**recorded)
+        sys.exit(0)
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def replayGame( layout, actions, display ):
+    import pacmanAgents, ghostAgents
+    rules = ClassicGameRules()
+    agents = [pacmanAgents.GreedyAgent()] + [ghostAgents.RandomGhost(i+1) for i in range(layout.getNumGhosts())]
+    game = rules.newGame( layout, agents[0], agents[1:], display )
+    state = game.state
+    display.initialize(state.data)
+
+    for action in actions:
+            # Execute the action
+        state = state.generateSuccessor( *action )
+        # Change the display
+        display.update( state.data )
+        # Allow for game specific conditions (winning, losing, etc.)
+        rules.process(state, game)
+
+    display.finish()
+
+def runGames( layout, pacman, ghosts, display, numGames, record, numTraining = 0, catchExceptions=False, timeout=30 ):
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = ClassicGameRules(timeout)
+    games = []
+
+    for i in range( numGames ):
+        beQuiet = i < numTraining
+        if beQuiet:
+                # Suppress output and graphics
+            import textDisplay
+            gameDisplay = textDisplay.NullGraphics()
+            rules.quiet = True
+        else:
+            gameDisplay = display
+            rules.quiet = False
+        game = rules.newGame( layout, pacman, ghosts, gameDisplay, beQuiet, catchExceptions)
+        game.run()
+        if not beQuiet: games.append(game)
+
+        if record:
+            import time, cPickle
+            fname = ('recorded-game-%d' % (i + 1)) +  '-'.join([str(t) for t in time.localtime()[1:6]])
+            f = file(fname, 'w')
+            components = {'layout': layout, 'actions': game.moveHistory}
+            cPickle.dump(components, f)
+            f.close()
+
+    if (numGames-numTraining) > 0:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print 'Average Score:', sum(scores) / float(len(scores))
+        print 'Scores:       ', ', '.join([str(score) for score in scores])
+        print 'Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate)
+        print 'Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins])
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
+
+    # import cProfile
+    # cProfile.run("runGames( **args )")
+    pass
diff --git a/cs188-projects-master/P1 Search/pacman.pyc b/cs188-projects-master/P1 Search/pacman.pyc
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diff --git a/cs188-projects-master/P1 Search/pacmanAgents.py b/cs188-projects-master/P1 Search/pacmanAgents.py
new file mode 100644
index 0000000..ae97634
--- /dev/null
+++ b/cs188-projects-master/P1 Search/pacmanAgents.py	
@@ -0,0 +1,52 @@
+# pacmanAgents.py
+# ---------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from pacman import Directions
+from game import Agent
+import random
+import game
+import util
+
+class LeftTurnAgent(game.Agent):
+    "An agent that turns left at every opportunity"
+
+    def getAction(self, state):
+        legal = state.getLegalPacmanActions()
+        current = state.getPacmanState().configuration.direction
+        if current == Directions.STOP: current = Directions.NORTH
+        left = Directions.LEFT[current]
+        if left in legal: return left
+        if current in legal: return current
+        if Directions.RIGHT[current] in legal: return Directions.RIGHT[current]
+        if Directions.LEFT[left] in legal: return Directions.LEFT[left]
+        return Directions.STOP
+
+class GreedyAgent(Agent):
+    def __init__(self, evalFn="scoreEvaluation"):
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        assert self.evaluationFunction != None
+
+    def getAction(self, state):
+        # Generate candidate actions
+        legal = state.getLegalPacmanActions()
+        if Directions.STOP in legal: legal.remove(Directions.STOP)
+
+        successors = [(state.generateSuccessor(0, action), action) for action in legal]
+        scored = [(self.evaluationFunction(state), action) for state, action in successors]
+        bestScore = max(scored)[0]
+        bestActions = [pair[1] for pair in scored if pair[0] == bestScore]
+        return random.choice(bestActions)
+
+def scoreEvaluation(state):
+    return state.getScore()
diff --git a/cs188-projects-master/P1 Search/pacmanAgents.pyc b/cs188-projects-master/P1 Search/pacmanAgents.pyc
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diff --git a/cs188-projects-master/P1 Search/projectParams.py b/cs188-projects-master/P1 Search/projectParams.py
new file mode 100644
index 0000000..dc3e9d1
--- /dev/null
+++ b/cs188-projects-master/P1 Search/projectParams.py	
@@ -0,0 +1,18 @@
+# projectParams.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+STUDENT_CODE_DEFAULT = 'searchAgents.py,search.py'
+PROJECT_TEST_CLASSES = 'searchTestClasses.py'
+PROJECT_NAME = 'Project 1: Search'
+BONUS_PIC = False
diff --git a/cs188-projects-master/P1 Search/projectParams.pyc b/cs188-projects-master/P1 Search/projectParams.pyc
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diff --git a/cs188-projects-master/P1 Search/search.py b/cs188-projects-master/P1 Search/search.py
new file mode 100644
index 0000000..147751f
--- /dev/null
+++ b/cs188-projects-master/P1 Search/search.py	
@@ -0,0 +1,159 @@
+# xuege
+# search.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+In search.py, you will implement generic search algorithms which are called by
+Pacman agents (in searchAgents.py).
+"""
+
+import util
+
+class SearchProblem:
+    """
+    This class outlines the structure of a search problem, but doesn't implement
+    any of the methods (in object-oriented terminology: an abstract class).
+
+    You do not need to change anything in this class, ever.
+    """
+
+    def getStartState(self):
+        """
+        Returns the start state for the search problem.
+        """
+        util.raiseNotDefined()
+
+    def isGoalState(self, state):
+        """
+          state: Search state
+
+        Returns True if and only if the state is a valid goal state.
+        """
+        util.raiseNotDefined()
+
+    def getSuccessors(self, state):
+        """
+          state: Search state
+
+        For a given state, this should return a list of triples, (successor,
+        action, stepCost), where 'successor' is a successor to the current
+        state, 'action' is the action required to get there, and 'stepCost' is
+        the incremental cost of expanding to that successor.
+        """
+        util.raiseNotDefined()
+
+    def getCostOfActions(self, actions):
+        """
+         actions: A list of actions to take
+
+        This method returns the total cost of a particular sequence of actions.
+        The sequence must be composed of legal moves.
+        """
+        util.raiseNotDefined()
+
+
+def tinyMazeSearch(problem):
+    """
+    Returns a sequence of moves that solves tinyMaze.  For any other maze, the
+    sequence of moves will be incorrect, so only use this for tinyMaze.
+    """
+    from game import Directions
+    s = Directions.SOUTH
+    w = Directions.WEST
+    return  [s, s, w, s, w, w, s, w]
+
+def depthFirstSearch(problem):
+    """
+    Search the deepest nodes in the search tree first.
+
+    Your search algorithm needs to return a list of actions that reaches the
+    goal. Make sure to implement a graph search algorithm.
+
+    To get started, you might want to try some of these simple commands to
+    understand the search problem that is being passed in:
+
+    print "Start:", problem.getStartState()
+    print "Is the start a goal?", problem.isGoalState(problem.getStartState())
+    print "Start's successors:", problem.getSuccessors(problem.getStartState())
+    """
+    "*** YOUR CODE HERE ***"
+    return search(problem, util.Stack())
+
+def breadthFirstSearch(problem):
+    """Search the shallowest nodes in the search tree first."""
+    "*** YOUR CODE HERE ***"
+    return search(problem, util.Queue())
+
+def uniformCostSearch(problem):
+    """Search the node of least total cost first."""
+    "*** YOUR CODE HERE ***"
+    return search(problem, util.PriorityQueue(), ucs_heuristic)
+
+def nullHeuristic(state, problem=None):
+    """
+    A heuristic function estimates the cost from the current state to the nearest
+    goal in the provided SearchProblem.  This heuristic is trivial.
+    """
+    return 0
+
+def aStarSearch(problem, heuristic=nullHeuristic):
+    """Search the node that has the lowest combined cost and heuristic first."""
+    "*** YOUR CODE HERE ***"
+    return search(problem, util.PriorityQueue(), astar_heuristic, heuristic)
+
+def search(problem, structure, calc_heuristic = None, heuristic = None):
+    start_state = problem.getStartState()
+    if isinstance(structure, util.Stack) or isinstance(structure, util.Queue):
+        structure.push(Node(start_state))
+    else:
+        structure.push(Node(start_state), 0)
+
+    visited = []
+    while not structure.isEmpty():
+        node = structure.pop()
+        if node.state not in visited:
+            visited.append(node.state)
+        else:
+            continue
+        if problem.isGoalState(node.state):
+            return node.path
+        for successor in problem.getSuccessors(node.state):
+            succ_location = successor[0]
+            succ_direction = successor[1]
+            succ_priority = successor[2]
+            if succ_location not in visited:
+                if isinstance(structure, util.Stack) or isinstance(structure, util.Queue):
+                    structure.push(Node(succ_location, node.path + [succ_direction]))
+                else:
+                    heuristic_val = calc_heuristic(problem, successor, node, heuristic)
+                    structure.push(Node(succ_location, node.path + [succ_direction], node.priority + succ_priority), heuristic_val)
+    return []
+
+def ucs_heuristic(problem, successor, node, heuristic):
+    return successor[2] + node.priority
+
+def astar_heuristic(problem, successor, node, heuristic):
+    return successor[2] + node.priority + heuristic(successor[0], problem)
+
+class Node:
+    def __init__(self, state, path = [], priority = 0):
+        self.state = state
+        self.path = path
+        self.priority = priority
+
+# Abbreviations
+bfs = breadthFirstSearch
+dfs = depthFirstSearch
+astar = aStarSearch
+ucs = uniformCostSearch
diff --git a/cs188-projects-master/P1 Search/search.pyc b/cs188-projects-master/P1 Search/search.pyc
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diff --git a/cs188-projects-master/P1 Search/searchAgents.py b/cs188-projects-master/P1 Search/searchAgents.py
new file mode 100644
index 0000000..dc10506
--- /dev/null
+++ b/cs188-projects-master/P1 Search/searchAgents.py	
@@ -0,0 +1,586 @@
+# xuege
+# searchAgents.py
+# ---------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+This file contains all of the agents that can be selected to control Pacman.  To
+select an agent, use the '-p' option when running pacman.py.  Arguments can be
+passed to your agent using '-a'.  For example, to load a SearchAgent that uses
+depth first search (dfs), run the following command:
+
+> python pacman.py -p SearchAgent -a fn=depthFirstSearch
+
+Commands to invoke other search strategies can be found in the project
+description.
+
+Please only change the parts of the file you are asked to.  Look for the lines
+that say
+
+"*** YOUR CODE HERE ***"
+
+The parts you fill in start about 3/4 of the way down.  Follow the project
+description for details.
+
+Good luck and happy searching!
+"""
+
+from game import Directions
+from game import Agent
+from game import Actions
+import util
+import time
+import search
+import itertools
+
+class GoWestAgent(Agent):
+    "An agent that goes West until it can't."
+
+    def getAction(self, state):
+        "The agent receives a GameState (defined in pacman.py)."
+        if Directions.WEST in state.getLegalPacmanActions():
+            return Directions.WEST
+        else:
+            return Directions.STOP
+
+#######################################################
+# This portion is written for you, but will only work #
+#       after you fill in parts of search.py          #
+#######################################################
+
+class SearchAgent(Agent):
+    """
+    This very general search agent finds a path using a supplied search
+    algorithm for a supplied search problem, then returns actions to follow that
+    path.
+
+    As a default, this agent runs DFS on a PositionSearchProblem to find
+    location (1,1)
+
+    Options for fn include:
+      depthFirstSearch or dfs
+      breadthFirstSearch or bfs
+
+
+    Note: You should NOT change any code in SearchAgent
+    """
+
+    def __init__(self, fn='depthFirstSearch', prob='PositionSearchProblem', heuristic='nullHeuristic'):
+        # Warning: some advanced Python magic is employed below to find the right functions and problems
+
+        # Get the search function from the name and heuristic
+        if fn not in dir(search):
+            raise AttributeError, fn + ' is not a search function in search.py.'
+        func = getattr(search, fn)
+        if 'heuristic' not in func.func_code.co_varnames:
+            print('[SearchAgent] using function ' + fn)
+            self.searchFunction = func
+        else:
+            if heuristic in globals().keys():
+                heur = globals()[heuristic]
+            elif heuristic in dir(search):
+                heur = getattr(search, heuristic)
+            else:
+                raise AttributeError, heuristic + ' is not a function in searchAgents.py or search.py.'
+            print('[SearchAgent] using function %s and heuristic %s' % (fn, heuristic))
+            # Note: this bit of Python trickery combines the search algorithm and the heuristic
+            self.searchFunction = lambda x: func(x, heuristic=heur)
+
+        # Get the search problem type from the name
+        if prob not in globals().keys() or not prob.endswith('Problem'):
+            raise AttributeError, prob + ' is not a search problem type in SearchAgents.py.'
+        self.searchType = globals()[prob]
+        print('[SearchAgent] using problem type ' + prob)
+
+    def registerInitialState(self, state):
+        """
+        This is the first time that the agent sees the layout of the game
+        board. Here, we choose a path to the goal. In this phase, the agent
+        should compute the path to the goal and store it in a local variable.
+        All of the work is done in this method!
+
+        state: a GameState object (pacman.py)
+        """
+        if self.searchFunction == None: raise Exception, "No search function provided for SearchAgent"
+        starttime = time.time()
+        problem = self.searchType(state) # Makes a new search problem
+        self.actions  = self.searchFunction(problem) # Find a path
+        totalCost = problem.getCostOfActions(self.actions)
+        print('Path found with total cost of %d in %.1f seconds' % (totalCost, time.time() - starttime))
+        if '_expanded' in dir(problem): print('Search nodes expanded: %d' % problem._expanded)
+
+    def getAction(self, state):
+        """
+        Returns the next action in the path chosen earlier (in
+        registerInitialState).  Return Directions.STOP if there is no further
+        action to take.
+
+        state: a GameState object (pacman.py)
+        """
+        if 'actionIndex' not in dir(self): self.actionIndex = 0
+        i = self.actionIndex
+        self.actionIndex += 1
+        if i < len(self.actions):
+            return self.actions[i]
+        else:
+            return Directions.STOP
+
+class PositionSearchProblem(search.SearchProblem):
+    """
+    A search problem defines the state space, start state, goal test, successor
+    function and cost function.  This search problem can be used to find paths
+    to a particular point on the pacman board.
+
+    The state space consists of (x,y) positions in a pacman game.
+
+    Note: this search problem is fully specified; you should NOT change it.
+    """
+
+    def __init__(self, gameState, costFn = lambda x: 1, goal=(1,1), start=None, warn=True, visualize=True):
+        """
+        Stores the start and goal.
+
+        gameState: A GameState object (pacman.py)
+        costFn: A function from a search state (tuple) to a non-negative number
+        goal: A position in the gameState
+        """
+        self.walls = gameState.getWalls()
+        self.startState = gameState.getPacmanPosition()
+        if start != None: self.startState = start
+        self.goal = goal
+        self.costFn = costFn
+        self.visualize = visualize
+        if warn and (gameState.getNumFood() != 1 or not gameState.hasFood(*goal)):
+            print 'Warning: this does not look like a regular search maze'
+
+        # For display purposes
+        self._visited, self._visitedlist, self._expanded = {}, [], 0 # DO NOT CHANGE
+
+    def getStartState(self):
+        return self.startState
+
+    def isGoalState(self, state):
+        isGoal = state == self.goal
+
+        # For display purposes only
+        if isGoal and self.visualize:
+            self._visitedlist.append(state)
+            import __main__
+            if '_display' in dir(__main__):
+                if 'drawExpandedCells' in dir(__main__._display): #@UndefinedVariable
+                    __main__._display.drawExpandedCells(self._visitedlist) #@UndefinedVariable
+
+        return isGoal
+
+    def getSuccessors(self, state):
+        """
+        Returns successor states, the actions they require, and a cost of 1.
+
+         As noted in search.py:
+             For a given state, this should return a list of triples,
+         (successor, action, stepCost), where 'successor' is a
+         successor to the current state, 'action' is the action
+         required to get there, and 'stepCost' is the incremental
+         cost of expanding to that successor
+        """
+
+        successors = []
+        for action in [Directions.NORTH, Directions.SOUTH, Directions.EAST, Directions.WEST]:
+            x,y = state
+            dx, dy = Actions.directionToVector(action)
+            nextx, nexty = int(x + dx), int(y + dy)
+            if not self.walls[nextx][nexty]:
+                nextState = (nextx, nexty)
+                cost = self.costFn(nextState)
+                successors.append( ( nextState, action, cost) )
+
+        # Bookkeeping for display purposes
+        self._expanded += 1 # DO NOT CHANGE
+        if state not in self._visited:
+            self._visited[state] = True
+            self._visitedlist.append(state)
+
+        return successors
+
+    def getCostOfActions(self, actions):
+        """
+        Returns the cost of a particular sequence of actions. If those actions
+        include an illegal move, return 999999.
+        """
+        if actions == None: return 999999
+        x,y= self.getStartState()
+        cost = 0
+        for action in actions:
+            # Check figure out the next state and see whether its' legal
+            dx, dy = Actions.directionToVector(action)
+            x, y = int(x + dx), int(y + dy)
+            if self.walls[x][y]: return 999999
+            cost += self.costFn((x,y))
+        return cost
+
+class SearchProblem:
+    """
+    This class outlines the structure of a search problem, but doesn't implement
+    any of the methods (in object-oriented terminology: an abstract class).
+
+    You do not need to change anything in this class, ever.
+    """
+
+    def getStartState(self):
+        """
+        Returns the start state for the search problem.
+        """
+        util.raiseNotDefined()
+
+    def isGoalState(self, state):
+        """
+          state: Search state
+
+        Returns True if and only if the state is a valid goal state.
+        """
+        util.raiseNotDefined()
+
+    def getSuccessors(self, state):
+        """
+          state: Search state
+
+        For a given state, this should return a list of triples, (successor,
+        action, stepCost), where 'successor' is a successor to the current
+        state, 'action' is the action required to get there, and 'stepCost' is
+        the incremental cost of expanding to that successor.
+        """
+        util.raiseNotDefined()
+
+    def getCostOfActions(self, actions):
+        """
+         actions: A list of actions to take
+
+        This method returns the total cost of a particular sequence of actions.
+        The sequence must be composed of legal moves.
+        """
+        util.raiseNotDefined()
+
+class CornersProblem(search.SearchProblem):
+    """
+    This search problem finds paths through all four corners of a layout.
+
+    You must select a suitable state space and successor function
+    """
+
+    def __init__(self, startingGameState):
+        """
+        Stores the walls, pacman's starting position and corners.
+        """
+        self.walls = startingGameState.getWalls()
+        self.startingPosition = startingGameState.getPacmanPosition()
+        top, right = self.walls.height-2, self.walls.width-2
+        self.corners = ((1,1), (1,top), (right, 1), (right, top))
+        for corner in self.corners:
+            if not startingGameState.hasFood(*corner):
+                print 'Warning: no food in corner ' + str(corner)
+        self._expanded = 0 # DO NOT CHANGE; Number of search nodes expanded
+        # Please add any code here which you would like to use
+        # in initializing the problem
+        "*** YOUR CODE HERE ***"
+        self.startingCornerState = CornerStateObj(self.startingPosition)
+
+    def getStartState(self):
+        """
+        Returns the start state (in your state space, not the full Pacman state
+        space)
+        """
+        "*** YOUR CODE HERE ***"
+        return self.startingCornerState
+
+    def isGoalState(self, state):
+        """
+        Returns whether this search state is a goal state of the problem.
+        """
+        "*** YOUR CODE HERE ***"
+        for i in range(len(self.corners)):
+            if self.corners[i] == state.pac_pos:
+                state.visited[i] = True
+        return False not in state.visited
+
+
+    def getSuccessors(self, state):
+        """
+        Returns successor states, the actions they require, and a cost of 1.
+
+         As noted in search.py:
+            For a given state, this should return a list of triples, (successor,
+            action, stepCost), where 'successor' is a successor to the current
+            state, 'action' is the action required to get there, and 'stepCost'
+            is the incremental cost of expanding to that successor
+        """
+
+        """
+        update visited boolean table for the four corners
+        """
+        for i in range(len(self.corners)):
+            if self.corners[i] == state.pac_pos:
+                state.visited[i] = True
+
+        successors = []
+        for action in [Directions.NORTH, Directions.SOUTH, Directions.EAST, Directions.WEST]:
+            x,y = state.pac_pos
+            dx, dy = Actions.directionToVector(action)
+            nextx, nexty = int(x + dx), int(y + dy)
+            hitsWall = self.walls[nextx][nexty]
+            "*** YOUR CODE HERE ***"
+            if not hitsWall:
+                successors.append((CornerStateObj((nextx, nexty), state.visited), action, 1))
+
+        self._expanded += 1 # DO NOT CHANGE
+        return successors
+
+    def getCostOfActions(self, actions):
+        """
+        Returns the cost of a particular sequence of actions.  If those actions
+        include an illegal move, return 999999.  This is implemented for you.
+        """
+        if actions == None: return 999999
+        x,y= self.startingPosition
+        for action in actions:
+            dx, dy = Actions.directionToVector(action)
+            x, y = int(x + dx), int(y + dy)
+            if self.walls[x][y]: return 999999
+        return len(actions)
+
+
+def cornersHeuristic(state, problem):
+    """
+    A heuristic for the CornersProblem that you defined.
+
+      state:   The current search state
+               (a data structure you chose in your search problem)
+
+      problem: The CornersProblem instance for this layout.
+
+    This function should always return a number that is a lower bound on the
+    shortest path from the state to a goal of the problem; i.e.  it should be
+    admissible (as well as consistent).
+    """
+    corners = problem.corners # These are the corner coordinates
+    walls = problem.walls # These are the walls of the maze, as a Grid (game.py)
+
+    "*** YOUR CODE HERE ***"
+    corners_to_visit = []
+    for i in range(len(corners)):
+        if state.visited[i] == False:
+            corners_to_visit.append(corners[i])
+
+    if len(corners_to_visit) == 0:
+        return 0
+    heuristic = -1
+    for path in itertools.permutations(corners_to_visit):
+        distance = 0
+        curr_pos = state.pac_pos
+        for corner in path:
+            distance += util.manhattanDistance(corner, curr_pos)
+            curr_pos = corner
+        if heuristic == -1:
+            heuristic = distance
+        else:
+            heuristic = min(heuristic, distance)
+    return heuristic
+
+class CornerStateObj:
+    def __init__(self, pac_pos, visited = [False, False, False, False]):
+        self.pac_pos = pac_pos
+        self.visited = [i for i in visited]
+
+    def __cmp__(self, other):
+        return cmp((self.pac_pos, self.visited), (other.pac_pos, other.visited))
+
+class AStarCornersAgent(SearchAgent):
+    "A SearchAgent for FoodSearchProblem using A* and your foodHeuristic"
+    def __init__(self):
+        self.searchFunction = lambda prob: search.aStarSearch(prob, cornersHeuristic)
+        self.searchType = CornersProblem
+
+class FoodSearchProblem:
+    """
+    A search problem associated with finding the a path that collects all of the
+    food (dots) in a Pacman game.
+
+    A search state in this problem is a tuple ( pacmanPosition, foodGrid ) where
+      pacmanPosition: a tuple (x,y) of integers specifying Pacman's position
+      foodGrid:       a Grid (see game.py) of either True or False, specifying remaining food
+    """
+    def __init__(self, startingGameState):
+        self.start = (startingGameState.getPacmanPosition(), startingGameState.getFood())
+        self.walls = startingGameState.getWalls()
+        self.startingGameState = startingGameState
+        self._expanded = 0 # DO NOT CHANGE
+        self.heuristicInfo = {} # A dictionary for the heuristic to store information
+
+    def getStartState(self):
+        return self.start
+
+    def isGoalState(self, state):
+        return state[1].count() == 0
+
+    def getSuccessors(self, state):
+        "Returns successor states, the actions they require, and a cost of 1."
+        successors = []
+        self._expanded += 1 # DO NOT CHANGE
+        for direction in [Directions.NORTH, Directions.SOUTH, Directions.EAST, Directions.WEST]:
+            x,y = state[0]
+            dx, dy = Actions.directionToVector(direction)
+            nextx, nexty = int(x + dx), int(y + dy)
+            if not self.walls[nextx][nexty]:
+                nextFood = state[1].copy()
+                nextFood[nextx][nexty] = False
+                successors.append( ( ((nextx, nexty), nextFood), direction, 1) )
+        return successors
+
+    def getCostOfActions(self, actions):
+        """Returns the cost of a particular sequence of actions.  If those actions
+        include an illegal move, return 999999"""
+        x,y= self.getStartState()[0]
+        cost = 0
+        for action in actions:
+            # figure out the next state and see whether it's legal
+            dx, dy = Actions.directionToVector(action)
+            x, y = int(x + dx), int(y + dy)
+            if self.walls[x][y]:
+                return 999999
+            cost += 1
+        return cost
+
+class AStarFoodSearchAgent(SearchAgent):
+    "A SearchAgent for FoodSearchProblem using A* and your foodHeuristic"
+    def __init__(self):
+        self.searchFunction = lambda prob: search.aStarSearch(prob, foodHeuristic)
+        self.searchType = FoodSearchProblem
+
+def foodHeuristic(state, problem):
+    """
+    Your heuristic for the FoodSearchProblem goes here.
+
+    This heuristic must be consistent to ensure correctness.  First, try to come
+    up with an admissible heuristic; almost all admissible heuristics will be
+    consistent as well.
+
+    If using A* ever finds a solution that is worse uniform cost search finds,
+    your heuristic is *not* consistent, and probably not admissible!  On the
+    other hand, inadmissible or inconsistent heuristics may find optimal
+    solutions, so be careful.
+
+    The state is a tuple ( pacmanPosition, foodGrid ) where foodGrid is a Grid
+    (see game.py) of either True or False. You can call foodGrid.asList() to get
+    a list of food coordinates instead.
+
+    If you want access to info like walls, capsules, etc., you can query the
+    problem.  For example, problem.walls gives you a Grid of where the walls
+    are.
+
+    If you want to *store* information to be reused in other calls to the
+    heuristic, there is a dictionary called problem.heuristicInfo that you can
+    use. For example, if you only want to count the walls once and store that
+    value, try: problem.heuristicInfo['wallCount'] = problem.walls.count()
+    Subsequent calls to this heuristic can access
+    problem.heuristicInfo['wallCount']
+    """
+    position, foodGrid = state
+    "*** YOUR CODE HERE ***"
+    food_locations = foodGrid.asList()
+    if not food_locations or len(food_locations) == 0:
+        return 0
+    farthest_food = max(map(lambda xy: mazeDistance(xy, position, problem.startingGameState), food_locations))
+    return farthest_food
+
+class ClosestDotSearchAgent(SearchAgent):
+    "Search for all food using a sequence of searches"
+    def registerInitialState(self, state):
+        self.actions = []
+        currentState = state
+        while(currentState.getFood().count() > 0):
+            nextPathSegment = self.findPathToClosestDot(currentState) # The missing piece
+            self.actions += nextPathSegment
+            for action in nextPathSegment:
+                legal = currentState.getLegalActions()
+                if action not in legal:
+                    t = (str(action), str(currentState))
+                    raise Exception, 'findPathToClosestDot returned an illegal move: %s!\n%s' % t
+                currentState = currentState.generateSuccessor(0, action)
+        self.actionIndex = 0
+        print 'Path found with cost %d.' % len(self.actions)
+
+    def findPathToClosestDot(self, gameState):
+        """
+        Returns a path (a list of actions) to the closest dot, starting from
+        gameState.
+        """
+        # Here are some useful elements of the startState
+        startPosition = gameState.getPacmanPosition()
+        food = gameState.getFood()
+        walls = gameState.getWalls()
+        problem = AnyFoodSearchProblem(gameState)
+
+        "*** YOUR CODE HERE ***"
+        return search.breadthFirstSearch(problem)
+
+class AnyFoodSearchProblem(PositionSearchProblem):
+    """
+    A search problem for finding a path to any food.
+
+    This search problem is just like the PositionSearchProblem, but has a
+    different goal test, which you need to fill in below.  The state space and
+    successor function do not need to be changed.
+
+    The class definition above, AnyFoodSearchProblem(PositionSearchProblem),
+    inherits the methods of the PositionSearchProblem.
+
+    You can use this search problem to help you fill in the findPathToClosestDot
+    method.
+    """
+
+    def __init__(self, gameState):
+        "Stores information from the gameState.  You don't need to change this."
+        # Store the food for later reference
+        self.food = gameState.getFood()
+
+        # Store info for the PositionSearchProblem (no need to change this)
+        self.walls = gameState.getWalls()
+        self.startState = gameState.getPacmanPosition()
+        self.costFn = lambda x: 1
+        self._visited, self._visitedlist, self._expanded = {}, [], 0 # DO NOT CHANGE
+
+    def isGoalState(self, state):
+        """
+        The state is Pacman's position. Fill this in with a goal test that will
+        complete the problem definition.
+        """
+        x,y = state
+        "*** YOUR CODE HERE ***"
+        return self.food[x][y]
+
+def mazeDistance(point1, point2, gameState):
+    """
+    Returns the maze distance between any two points, using the search functions
+    you have already built. The gameState can be any game state -- Pacman's
+    position in that state is ignored.
+
+    Example usage: mazeDistance( (2,4), (5,6), gameState)
+
+    This might be a useful helper function for your ApproximateSearchAgent.
+    """
+    x1, y1 = point1
+    x2, y2 = point2
+    walls = gameState.getWalls()
+    assert not walls[x1][y1], 'point1 is a wall: ' + str(point1)
+    assert not walls[x2][y2], 'point2 is a wall: ' + str(point2)
+    prob = PositionSearchProblem(gameState, start=point1, goal=point2, warn=False, visualize=False)
+    return len(search.bfs(prob))
diff --git a/cs188-projects-master/P1 Search/searchAgents.pyc b/cs188-projects-master/P1 Search/searchAgents.pyc
new file mode 100644
index 0000000..26649bb
Binary files /dev/null and b/cs188-projects-master/P1 Search/searchAgents.pyc differ
diff --git a/cs188-projects-master/P1 Search/searchTestClasses.py b/cs188-projects-master/P1 Search/searchTestClasses.py
new file mode 100644
index 0000000..1e985a2
--- /dev/null
+++ b/cs188-projects-master/P1 Search/searchTestClasses.py	
@@ -0,0 +1,821 @@
+# searchTestClasses.py
+# --------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import testClasses
+import textwrap
+
+# import project specific code
+import layout
+import pacman
+from search import SearchProblem
+
+# helper function for printing solutions in solution files
+def wrap_solution(solution):
+    if type(solution) == type([]):
+        return '\n'.join(textwrap.wrap(' '.join(solution)))
+    else:
+        return str(solution)
+
+
+
+
+def followAction(state, action, problem):
+  for successor1, action1, cost1 in problem.getSuccessors(state):
+    if action == action1: return successor1
+  return None
+
+def followPath(path, problem):
+  state = problem.getStartState()
+  states = [state]
+  for action in path:
+    state = followAction(state, action, problem)
+    states.append(state)
+  return states
+
+def checkSolution(problem, path):
+  state = problem.getStartState()
+  for action in path:
+    state = followAction(state, action, problem)
+  return problem.isGoalState(state)
+
+# Search problem on a plain graph
+class GraphSearch(SearchProblem):
+
+    # Read in the state graph; define start/end states, edges and costs
+    def __init__(self, graph_text):
+        self.expanded_states = []
+        lines = graph_text.split('\n')
+        r = re.match('start_state:(.*)', lines[0])
+        if r == None:
+            print "Broken graph:"
+            print '"""%s"""' % graph_text
+            raise Exception("GraphSearch graph specification start_state not found or incorrect on line:" + l)
+        self.start_state = r.group(1).strip()
+        r = re.match('goal_states:(.*)', lines[1])
+        if r == None:
+            print "Broken graph:"
+            print '"""%s"""' % graph_text
+            raise Exception("GraphSearch graph specification goal_states not found or incorrect on line:" + l)
+        goals = r.group(1).split()
+        self.goals = map(str.strip, goals)
+        self.successors = {}
+        all_states = set()
+        self.orderedSuccessorTuples = []
+        for l in lines[2:]:
+            if len(l.split()) == 3:
+                start, action, next_state = l.split()
+                cost = 1
+            elif len(l.split()) == 4:
+                start, action, next_state, cost = l.split()
+            else:
+                print "Broken graph:"
+                print '"""%s"""' % graph_text
+                raise Exception("Invalid line in GraphSearch graph specification on line:" + l)
+            cost = float(cost)
+            self.orderedSuccessorTuples.append((start, action, next_state, cost))
+            all_states.add(start)
+            all_states.add(next_state)
+            if start not in self.successors:
+                self.successors[start] = []
+            self.successors[start].append((next_state, action, cost))
+        for s in all_states:
+            if s not in self.successors:
+                self.successors[s] = []
+
+    # Get start state
+    def getStartState(self):
+        return self.start_state
+
+    # Check if a state is a goal state
+    def isGoalState(self, state):
+        return state in self.goals
+
+    # Get all successors of a state
+    def getSuccessors(self, state):
+        self.expanded_states.append(state)
+        return list(self.successors[state])
+
+    # Calculate total cost of a sequence of actions
+    def getCostOfActions(self, actions):
+        total_cost = 0
+        state = self.start_state
+        for a in actions:
+            successors = self.successors[state]
+            match = False
+            for (next_state, action, cost) in successors:
+                if a == action:
+                    state = next_state
+                    total_cost += cost
+                    match = True
+            if not match:
+                print 'invalid action sequence'
+                sys.exit(1)
+        return total_cost
+
+    # Return a list of all states on which 'getSuccessors' was called
+    def getExpandedStates(self):
+        return self.expanded_states
+
+    def __str__(self):
+        print self.successors
+        edges = ["%s %s %s %s" % t for t in self.orderedSuccessorTuples]
+        return \
+"""start_state: %s
+goal_states: %s
+%s""" % (self.start_state, " ".join(self.goals), "\n".join(edges))
+
+
+
+def parseHeuristic(heuristicText):
+    heuristic = {}
+    for line in heuristicText.split('\n'):
+        tokens = line.split()
+        if len(tokens) != 2:
+            print "Broken heuristic:"
+            print '"""%s"""' % graph_text
+            raise Exception("GraphSearch heuristic specification broken:" + l)
+        state, h = tokens
+        heuristic[state] = float(h)
+
+    def graphHeuristic(state, problem=None):
+        if state in heuristic:
+            return heuristic[state]
+        else:
+            pp = pprint.PrettyPrinter(indent=4)
+            print "Heuristic:"
+            pp.pprint(heuristic)
+            raise Exception("Graph heuristic called with invalid state: " + str(state))
+
+    return graphHeuristic
+
+
+class GraphSearchTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(GraphSearchTest, self).__init__(question, testDict)
+        self.graph_text = testDict['graph']
+        self.alg = testDict['algorithm']
+        self.diagram = testDict['diagram']
+        self.exactExpansionOrder = testDict.get('exactExpansionOrder', 'True').lower() == "true"
+        if 'heuristic' in testDict:
+            self.heuristic = parseHeuristic(testDict['heuristic'])
+        else:
+            self.heuristic = None
+
+    # Note that the return type of this function is a tripple:
+    # (solution, expanded states, error message)
+    def getSolInfo(self, search):
+        alg = getattr(search, self.alg)
+        problem = GraphSearch(self.graph_text)
+        if self.heuristic != None:
+            solution = alg(problem, self.heuristic)
+        else:
+            solution = alg(problem)
+
+        if type(solution) != type([]):
+            return None, None, 'The result of %s must be a list. (Instead, it is %s)' % (self.alg, type(solution))
+
+        return solution, problem.getExpandedStates(), None
+
+    # Run student code.  If an error message is returned, print error and return false.
+    # If a good solution is returned, printn the solution and return true; otherwise,
+    # print both the correct and student's solution and return false.
+    def execute(self, grades, moduleDict, solutionDict):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        gold_solution = [str.split(solutionDict['solution']), str.split(solutionDict['rev_solution'])]
+        gold_expanded_states = [str.split(solutionDict['expanded_states']), str.split(solutionDict['rev_expanded_states'])]
+
+        solution, expanded_states, error = self.getSolInfo(search)
+        if error != None:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('\t%s' % error)
+            return False
+
+        if solution in gold_solution and (not self.exactExpansionOrder or expanded_states in gold_expanded_states):
+            grades.addMessage('PASS: %s' % self.path)
+            grades.addMessage('\tsolution:\t\t%s' % solution)
+            grades.addMessage('\texpanded_states:\t%s' % expanded_states)
+            return True
+        else:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('\tgraph:')
+            for line in self.diagram.split('\n'):
+                grades.addMessage('\t    %s' % (line,))
+            grades.addMessage('\tstudent solution:\t\t%s' % solution)
+            grades.addMessage('\tstudent expanded_states:\t%s' % expanded_states)
+            grades.addMessage('')
+            grades.addMessage('\tcorrect solution:\t\t%s' % gold_solution[0])
+            grades.addMessage('\tcorrect expanded_states:\t%s' % gold_expanded_states[0])
+            grades.addMessage('\tcorrect rev_solution:\t\t%s' % gold_solution[1])
+            grades.addMessage('\tcorrect rev_expanded_states:\t%s' % gold_expanded_states[1])
+            return False
+
+    def writeSolution(self, moduleDict, filePath):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        # open file and write comments
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+        handle.write('# This solution is designed to support both right-to-left\n')
+        handle.write('# and left-to-right implementations.\n')
+
+        # write forward solution
+        solution, expanded_states, error = self.getSolInfo(search)
+        if error != None: raise Exception("Error in solution code: %s" % error)
+        handle.write('solution: "%s"\n' % ' '.join(solution))
+        handle.write('expanded_states: "%s"\n' % ' '.join(expanded_states))
+
+        # reverse and write backwards solution
+        search.REVERSE_PUSH = not search.REVERSE_PUSH
+        solution, expanded_states, error = self.getSolInfo(search)
+        if error != None: raise Exception("Error in solution code: %s" % error)
+        handle.write('rev_solution: "%s"\n' % ' '.join(solution))
+        handle.write('rev_expanded_states: "%s"\n' % ' '.join(expanded_states))
+
+        # clean up
+        search.REVERSE_PUSH = not search.REVERSE_PUSH
+        handle.close()
+        return True
+
+
+
+class PacmanSearchTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(PacmanSearchTest, self).__init__(question, testDict)
+        self.layout_text = testDict['layout']
+        self.alg = testDict['algorithm']
+        self.layoutName = testDict['layoutName']
+
+        # TODO: sensible to have defaults like this?
+        self.leewayFactor = float(testDict.get('leewayFactor', '1'))
+        self.costFn = eval(testDict.get('costFn', 'None'))
+        self.searchProblemClassName = testDict.get('searchProblemClass', 'PositionSearchProblem')
+        self.heuristicName = testDict.get('heuristic', None)
+
+
+    def getSolInfo(self, search, searchAgents):
+        alg = getattr(search, self.alg)
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        start_state = pacman.GameState()
+        start_state.initialize(lay, 0)
+
+        problemClass = getattr(searchAgents, self.searchProblemClassName)
+        problemOptions = {}
+        if self.costFn != None:
+            problemOptions['costFn'] = self.costFn
+        problem = problemClass(start_state, **problemOptions)
+        heuristic = getattr(searchAgents, self.heuristicName) if self.heuristicName != None else None
+
+        if heuristic != None:
+            solution = alg(problem, heuristic)
+        else:
+            solution = alg(problem)
+
+        if type(solution) != type([]):
+            return None, None, 'The result of %s must be a list. (Instead, it is %s)' % (self.alg, type(solution))
+
+        from game import Directions
+        dirs = Directions.LEFT.keys()
+        if [el in dirs for el in solution].count(False) != 0:
+            return None, None, 'Output of %s must be a list of actions from game.Directions' % self.alg
+
+        expanded = problem._expanded
+        return solution, expanded, None
+
+    def execute(self, grades, moduleDict, solutionDict):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        gold_solution = [str.split(solutionDict['solution']), str.split(solutionDict['rev_solution'])]
+        gold_expanded = max(int(solutionDict['expanded_nodes']), int(solutionDict['rev_expanded_nodes']))
+
+        solution, expanded, error = self.getSolInfo(search, searchAgents)
+        if error != None:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('%s' % error)
+            return False
+
+        # FIXME: do we want to standardize test output format?
+
+        if solution not in gold_solution:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('Solution not correct.')
+            grades.addMessage('\tstudent solution length: %s' % len(solution))
+            grades.addMessage('\tstudent solution:\n%s' % wrap_solution(solution))
+            grades.addMessage('')
+            grades.addMessage('\tcorrect solution length: %s' % len(gold_solution[0]))
+            grades.addMessage('\tcorrect (reversed) solution length: %s' % len(gold_solution[1]))
+            grades.addMessage('\tcorrect solution:\n%s' % wrap_solution(gold_solution[0]))
+            grades.addMessage('\tcorrect (reversed) solution:\n%s' % wrap_solution(gold_solution[1]))
+            return False
+
+        if expanded > self.leewayFactor * gold_expanded and expanded > gold_expanded + 1:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('Too many node expanded; are you expanding nodes twice?')
+            grades.addMessage('\tstudent nodes expanded: %s' % expanded)
+            grades.addMessage('')
+            grades.addMessage('\tcorrect nodes expanded: %s (leewayFactor %s)' % (gold_expanded, self.leewayFactor))
+            return False
+
+        grades.addMessage('PASS: %s' % self.path)
+        grades.addMessage('\tpacman layout:\t\t%s' % self.layoutName)
+        grades.addMessage('\tsolution length: %s' % len(solution))
+        grades.addMessage('\tnodes expanded:\t\t%s' % expanded)
+        return True
+
+
+    def writeSolution(self, moduleDict, filePath):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        # open file and write comments
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+        handle.write('# This solution is designed to support both right-to-left\n')
+        handle.write('# and left-to-right implementations.\n')
+        handle.write('# Number of nodes expanded must be with a factor of %s of the numbers below.\n' % self.leewayFactor)
+
+        # write forward solution
+        solution, expanded, error = self.getSolInfo(search, searchAgents)
+        if error != None: raise Exception("Error in solution code: %s" % error)
+        handle.write('solution: """\n%s\n"""\n' % wrap_solution(solution))
+        handle.write('expanded_nodes: "%s"\n' % expanded)
+
+        # write backward solution
+        search.REVERSE_PUSH = not search.REVERSE_PUSH
+        solution, expanded, error = self.getSolInfo(search, searchAgents)
+        if error != None: raise Exception("Error in solution code: %s" % error)
+        handle.write('rev_solution: """\n%s\n"""\n' % wrap_solution(solution))
+        handle.write('rev_expanded_nodes: "%s"\n' % expanded)
+
+        # clean up
+        search.REVERSE_PUSH = not search.REVERSE_PUSH
+        handle.close()
+        return True
+
+
+from game import Actions
+def getStatesFromPath(start, path):
+    "Returns the list of states visited along the path"
+    vis = [start]
+    curr = start
+    for a in path:
+        x,y = curr
+        dx, dy = Actions.directionToVector(a)
+        curr = (int(x + dx), int(y + dy))
+        vis.append(curr)
+    return vis
+
+class CornerProblemTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(CornerProblemTest, self).__init__(question, testDict)
+        self.layoutText = testDict['layout']
+        self.layoutName = testDict['layoutName']
+
+    def solution(self, search, searchAgents):
+        lay = layout.Layout([l.strip() for l in self.layoutText.split('\n')])
+        gameState = pacman.GameState()
+        gameState.initialize(lay, 0)
+        problem = searchAgents.CornersProblem(gameState)
+        path = search.bfs(problem)
+
+        gameState = pacman.GameState()
+        gameState.initialize(lay, 0)
+        visited = getStatesFromPath(gameState.getPacmanPosition(), path)
+        top, right = gameState.getWalls().height-2, gameState.getWalls().width-2
+        missedCorners = [p for p in ((1,1), (1,top), (right, 1), (right, top)) if p not in visited]
+
+        return path, missedCorners
+
+    def execute(self, grades, moduleDict, solutionDict):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        gold_length = int(solutionDict['solution_length'])
+        solution, missedCorners = self.solution(search, searchAgents)
+
+        if type(solution) != type([]):
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('The result must be a list. (Instead, it is %s)' % type(solution))
+            return False
+
+        if len(missedCorners) != 0:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('Corners missed: %s' % missedCorners)
+            return False
+
+        if len(solution) != gold_length:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('Optimal solution not found.')
+            grades.addMessage('\tstudent solution length:\n%s' % len(solution))
+            grades.addMessage('')
+            grades.addMessage('\tcorrect solution length:\n%s' % gold_length)
+            return False
+
+        grades.addMessage('PASS: %s' % self.path)
+        grades.addMessage('\tpacman layout:\t\t%s' % self.layoutName)
+        grades.addMessage('\tsolution length:\t\t%s' % len(solution))
+        return True
+
+    def writeSolution(self, moduleDict, filePath):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        # open file and write comments
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+
+        print "Solving problem", self.layoutName
+        print self.layoutText
+
+        path, _ = self.solution(search, searchAgents)
+        length = len(path)
+        print "Problem solved"
+
+        handle.write('solution_length: "%s"\n' % length)
+        handle.close()
+
+
+
+
+# template = """class: "HeuristicTest"
+#
+# heuristic: "foodHeuristic"
+# searchProblemClass: "FoodSearchProblem"
+# layoutName: "Test %s"
+# layout: \"\"\"
+# %s
+# \"\"\"
+# """
+#
+# for i, (_, _, l) in enumerate(doneTests + foodTests):
+#     f = open("food_heuristic_%s.test" % (i+1), "w")
+#     f.write(template % (i+1, "\n".join(l)))
+#     f.close()
+
+class HeuristicTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(HeuristicTest, self).__init__(question, testDict)
+        self.layoutText = testDict['layout']
+        self.layoutName = testDict['layoutName']
+        self.searchProblemClassName = testDict['searchProblemClass']
+        self.heuristicName = testDict['heuristic']
+
+    def setupProblem(self, searchAgents):
+        lay = layout.Layout([l.strip() for l in self.layoutText.split('\n')])
+        gameState = pacman.GameState()
+        gameState.initialize(lay, 0)
+        problemClass = getattr(searchAgents, self.searchProblemClassName)
+        problem = problemClass(gameState)
+        state = problem.getStartState()
+        heuristic = getattr(searchAgents, self.heuristicName)
+
+        return problem, state, heuristic
+
+    def checkHeuristic(self, heuristic, problem, state, solutionCost):
+        h0 = heuristic(state, problem)
+
+        if solutionCost == 0:
+            if h0 == 0:
+                return True, ''
+            else:
+                return False, 'Heuristic failed H(goal) == 0 test'
+
+        if h0 < 0:
+            return False, 'Heuristic failed H >= 0 test'
+        if not h0 > 0:
+            return False, 'Heuristic failed non-triviality test'
+        if not h0 <= solutionCost:
+            return False, 'Heuristic failed admissibility test'
+
+        for succ, action, stepCost in problem.getSuccessors(state):
+            h1 = heuristic(succ, problem)
+            if h1 < 0: return False, 'Heuristic failed H >= 0 test'
+            if h0 - h1 > stepCost: return False, 'Heuristic failed consistency test'
+
+        return True, ''
+
+    def execute(self, grades, moduleDict, solutionDict):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        solutionCost = int(solutionDict['solution_cost'])
+        problem, state, heuristic = self.setupProblem(searchAgents)
+
+        passed, message = self.checkHeuristic(heuristic, problem, state, solutionCost)
+
+        if not passed:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('%s' % message)
+            return False
+        else:
+            grades.addMessage('PASS: %s' % self.path)
+            return True
+
+    def writeSolution(self, moduleDict, filePath):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        # open file and write comments
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+
+        print "Solving problem", self.layoutName, self.heuristicName
+        print self.layoutText
+        problem, _, heuristic = self.setupProblem(searchAgents)
+        path = search.astar(problem, heuristic)
+        cost = problem.getCostOfActions(path)
+        print "Problem solved"
+
+        handle.write('solution_cost: "%s"\n' % cost)
+        handle.close()
+        return True
+
+
+
+
+
+
+class HeuristicGrade(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(HeuristicGrade, self).__init__(question, testDict)
+        self.layoutText = testDict['layout']
+        self.layoutName = testDict['layoutName']
+        self.searchProblemClassName = testDict['searchProblemClass']
+        self.heuristicName = testDict['heuristic']
+        self.basePoints = int(testDict['basePoints'])
+        self.thresholds = [int(t) for t in testDict['gradingThresholds'].split()]
+
+    def setupProblem(self, searchAgents):
+        lay = layout.Layout([l.strip() for l in self.layoutText.split('\n')])
+        gameState = pacman.GameState()
+        gameState.initialize(lay, 0)
+        problemClass = getattr(searchAgents, self.searchProblemClassName)
+        problem = problemClass(gameState)
+        state = problem.getStartState()
+        heuristic = getattr(searchAgents, self.heuristicName)
+
+        return problem, state, heuristic
+
+
+    def execute(self, grades, moduleDict, solutionDict):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        problem, _, heuristic = self.setupProblem(searchAgents)
+
+        path = search.astar(problem, heuristic)
+
+        expanded = problem._expanded
+
+        if not checkSolution(problem, path):
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('\tReturned path is not a solution.')
+            grades.addMessage('\tpath returned by astar: %s' % expanded)
+            return False
+
+        grades.addPoints(self.basePoints)
+        points = 0
+        for threshold in self.thresholds:
+            if expanded <= threshold:
+                points += 1
+        grades.addPoints(points)
+        if points >= len(self.thresholds):
+            grades.addMessage('PASS: %s' % self.path)
+        else:
+            grades.addMessage('FAIL: %s' % self.path)
+        grades.addMessage('\texpanded nodes: %s' % expanded)
+        grades.addMessage('\tthresholds: %s' % self.thresholds)
+
+        return True
+
+
+    def writeSolution(self, moduleDict, filePath):
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+        handle.write('# File intentionally blank.\n')
+        handle.close()
+        return True
+
+
+
+
+
+# template = """class: "ClosestDotTest"
+#
+# layoutName: "Test %s"
+# layout: \"\"\"
+# %s
+# \"\"\"
+# """
+#
+# for i, (_, _, l) in enumerate(foodTests):
+#     f = open("closest_dot_%s.test" % (i+1), "w")
+#     f.write(template % (i+1, "\n".join(l)))
+#     f.close()
+
+class ClosestDotTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(ClosestDotTest, self).__init__(question, testDict)
+        self.layoutText = testDict['layout']
+        self.layoutName = testDict['layoutName']
+
+    def solution(self, searchAgents):
+        lay = layout.Layout([l.strip() for l in self.layoutText.split('\n')])
+        gameState = pacman.GameState()
+        gameState.initialize(lay, 0)
+        path = searchAgents.ClosestDotSearchAgent().findPathToClosestDot(gameState)
+        return path
+
+    def execute(self, grades, moduleDict, solutionDict):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        gold_length = int(solutionDict['solution_length'])
+        solution = self.solution(searchAgents)
+
+        if type(solution) != type([]):
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('\tThe result must be a list. (Instead, it is %s)' % type(solution))
+            return False
+
+        if len(solution) != gold_length:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('Closest dot not found.')
+            grades.addMessage('\tstudent solution length:\n%s' % len(solution))
+            grades.addMessage('')
+            grades.addMessage('\tcorrect solution length:\n%s' % gold_length)
+            return False
+
+        grades.addMessage('PASS: %s' % self.path)
+        grades.addMessage('\tpacman layout:\t\t%s' % self.layoutName)
+        grades.addMessage('\tsolution length:\t\t%s' % len(solution))
+        return True
+
+    def writeSolution(self, moduleDict, filePath):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        # open file and write comments
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+
+        print "Solving problem", self.layoutName
+        print self.layoutText
+
+        length = len(self.solution(searchAgents))
+        print "Problem solved"
+
+        handle.write('solution_length: "%s"\n' % length)
+        handle.close()
+        return True
+
+
+
+
+class CornerHeuristicSanity(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(CornerHeuristicSanity, self).__init__(question, testDict)
+        self.layout_text = testDict['layout']
+
+    def execute(self, grades, moduleDict, solutionDict):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        game_state = pacman.GameState()
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        game_state.initialize(lay, 0)
+        problem = searchAgents.CornersProblem(game_state)
+        start_state = problem.getStartState()
+        h0 = searchAgents.cornersHeuristic(start_state, problem)
+        succs = problem.getSuccessors(start_state)
+        # cornerConsistencyA
+        for succ in succs:
+            h1 = searchAgents.cornersHeuristic(succ[0], problem)
+            if h0 - h1 > 1:
+                grades.addMessage('FAIL: inconsistent heuristic')
+                return False
+        heuristic_cost = searchAgents.cornersHeuristic(start_state, problem)
+        true_cost = float(solutionDict['cost'])
+        # cornerNontrivial
+        if heuristic_cost == 0:
+            grades.addMessage('FAIL: must use non-trivial heuristic')
+            return False
+        # cornerAdmissible
+        if heuristic_cost > true_cost:
+            grades.addMessage('FAIL: Inadmissible heuristic')
+            return False
+        path = solutionDict['path'].split()
+        states = followPath(path, problem)
+        heuristics = []
+        for state in states:
+            heuristics.append(searchAgents.cornersHeuristic(state, problem))
+        for i in range(0, len(heuristics) - 1):
+            h0 = heuristics[i]
+            h1 = heuristics[i+1]
+            # cornerConsistencyB
+            if h0 - h1 > 1:
+                grades.addMessage('FAIL: inconsistent heuristic')
+                return False
+            # cornerPosH
+            if h0 < 0 or h1 <0:
+                grades.addMessage('FAIL: non-positive heuristic')
+                return False
+        # cornerGoalH
+        if heuristics[len(heuristics) - 1] != 0:
+            grades.addMessage('FAIL: heuristic non-zero at goal')
+            return False
+        grades.addMessage('PASS: heuristic value less than true cost at start state')
+        return True
+
+    def writeSolution(self, moduleDict, filePath):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        # write comment
+        handle = open(filePath, 'w')
+        handle.write('# In order for a heuristic to be admissible, the value\n')
+        handle.write('# of the heuristic must be less at each state than the\n')
+        handle.write('# true cost of the optimal path from that state to a goal.\n')
+
+        # solve problem and write solution
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        start_state = pacman.GameState()
+        start_state.initialize(lay, 0)
+        problem = searchAgents.CornersProblem(start_state)
+        solution = search.astar(problem, searchAgents.cornersHeuristic)
+        handle.write('cost: "%d"\n' % len(solution))
+        handle.write('path: """\n%s\n"""\n' % wrap_solution(solution))
+        handle.close()
+        return True
+
+
+
+class CornerHeuristicPacman(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(CornerHeuristicPacman, self).__init__(question, testDict)
+        self.layout_text = testDict['layout']
+
+    def execute(self, grades, moduleDict, solutionDict):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        total = 0
+        true_cost = float(solutionDict['cost'])
+        thresholds = map(int, solutionDict['thresholds'].split())
+        game_state = pacman.GameState()
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        game_state.initialize(lay, 0)
+        problem = searchAgents.CornersProblem(game_state)
+        start_state = problem.getStartState()
+        if searchAgents.cornersHeuristic(start_state, problem) > true_cost:
+            grades.addMessage('FAIL: Inadmissible heuristic')
+            return False
+        path = search.astar(problem, searchAgents.cornersHeuristic)
+        print "path:", path
+        print "path length:", len(path)
+        cost = problem.getCostOfActions(path)
+        if cost > true_cost:
+            grades.addMessage('FAIL: Inconsistent heuristic')
+            return False
+        expanded = problem._expanded
+        points = 0
+        for threshold in thresholds:
+            if expanded <= threshold:
+                points += 1
+        grades.addPoints(points)
+        if points >= len(thresholds):
+            grades.addMessage('PASS: Heuristic resulted in expansion of %d nodes' % expanded)
+        else:
+            grades.addMessage('FAIL: Heuristic resulted in expansion of %d nodes' % expanded)
+        return True
+
+    def writeSolution(self, moduleDict, filePath):
+        search = moduleDict['search']
+        searchAgents = moduleDict['searchAgents']
+        # write comment
+        handle = open(filePath, 'w')
+        handle.write('# This solution file specifies the length of the optimal path\n')
+        handle.write('# as well as the thresholds on number of nodes expanded to be\n')
+        handle.write('# used in scoring.\n')
+
+        # solve problem and write solution
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        start_state = pacman.GameState()
+        start_state.initialize(lay, 0)
+        problem = searchAgents.CornersProblem(start_state)
+        solution = search.astar(problem, searchAgents.cornersHeuristic)
+        handle.write('cost: "%d"\n' % len(solution))
+        handle.write('path: """\n%s\n"""\n' % wrap_solution(solution))
+        handle.write('thresholds: "2000 1600 1200"\n')
+        handle.close()
+        return True
+
diff --git a/cs188-projects-master/P1 Search/searchTestClasses.pyc b/cs188-projects-master/P1 Search/searchTestClasses.pyc
new file mode 100644
index 0000000..8cc40b2
Binary files /dev/null and b/cs188-projects-master/P1 Search/searchTestClasses.pyc differ
diff --git a/cs188-projects-master/P1 Search/testClasses.py b/cs188-projects-master/P1 Search/testClasses.py
new file mode 100644
index 0000000..6f95533
--- /dev/null
+++ b/cs188-projects-master/P1 Search/testClasses.py	
@@ -0,0 +1,206 @@
+# testClasses.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# import modules from python standard library
+import inspect
+import re
+import sys
+
+
+# Class which models a question in a project.  Note that questions have a
+# maximum number of points they are worth, and are composed of a series of
+# test cases
+class Question(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def __init__(self, questionDict, display):
+        self.maxPoints = int(questionDict['max_points'])
+        self.testCases = []
+        self.display = display
+
+    def getDisplay(self):
+        return self.display
+
+    def getMaxPoints(self):
+        return self.maxPoints
+
+    # Note that 'thunk' must be a function which accepts a single argument,
+    # namely a 'grading' object
+    def addTestCase(self, testCase, thunk):
+        self.testCases.append((testCase, thunk))
+
+    def execute(self, grades):
+        self.raiseNotDefined()
+
+# Question in which all test cases must be passed in order to receive credit
+class PassAllTestsQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+
+class ExtraCreditPassAllTestsQuestion(Question):
+    def __init__(self, questionDict, display):
+        Question.__init__(self, questionDict, display)
+        self.extraPoints = int(questionDict['extra_points'])
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+            grades.addPoints(self.extraPoints)
+
+# Question in which predict credit is given for test cases with a ``points'' property.
+# All other tests are mandatory and must be passed.
+class HackedPartialCreditQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        grades.assignZeroCredit()
+
+        points = 0
+        passed = True
+        for testCase, f in self.testCases:
+            testResult = f(grades)
+            if "points" in testCase.testDict:
+                if testResult: points += float(testCase.testDict["points"])
+            else:
+                passed = passed and testResult
+
+        ## FIXME: Below terrible hack to match q3's logic
+        if int(points) == self.maxPoints and not passed:
+            grades.assignZeroCredit()
+        else:
+            grades.addPoints(int(points))
+
+
+class Q6PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        results = []
+        for _, f in self.testCases:
+            results.append(f(grades))
+        if False in results:
+            grades.assignZeroCredit()
+
+class PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        for _, f in self.testCases:
+            if not f(grades):
+                grades.assignZeroCredit()
+                grades.fail("Tests failed.")
+                return False
+
+
+
+class NumberPassedQuestion(Question):
+    """Grade is the number of test cases passed."""
+
+    def execute(self, grades):
+        grades.addPoints([f(grades) for _, f in self.testCases].count(True))
+
+
+
+
+
+# Template modeling a generic test case
+class TestCase(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def getPath(self):
+        return self.path
+
+    def __init__(self, question, testDict):
+        self.question = question
+        self.testDict = testDict
+        self.path = testDict['path']
+        self.messages = []
+
+    def __str__(self):
+        self.raiseNotDefined()
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.raiseNotDefined()
+
+    def writeSolution(self, moduleDict, filePath):
+        self.raiseNotDefined()
+        return True
+
+    # Tests should call the following messages for grading
+    # to ensure a uniform format for test output.
+    #
+    # TODO: this is hairy, but we need to fix grading.py's interface
+    # to get a nice hierarchical project - question - test structure,
+    # then these should be moved into Question proper.
+    def testPass(self, grades):
+        grades.addMessage('PASS: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return True
+
+    def testFail(self, grades):
+        grades.addMessage('FAIL: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return False
+
+    # This should really be question level?
+    #
+    def testPartial(self, grades, points, maxPoints):
+        grades.addPoints(points)
+        extraCredit = max(0, points - maxPoints)
+        regularCredit = points - extraCredit
+
+        grades.addMessage('%s: %s (%s of %s points)' % ("PASS" if points >= maxPoints else "FAIL", self.path, regularCredit, maxPoints))
+        if extraCredit > 0:
+            grades.addMessage('EXTRA CREDIT: %s points' % (extraCredit,))
+
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+
+        return True
+
+    def addMessage(self, message):
+        self.messages.extend(message.split('\n'))
+
diff --git a/cs188-projects-master/P1 Search/testClasses.pyc b/cs188-projects-master/P1 Search/testClasses.pyc
new file mode 100644
index 0000000..d4c5f7f
Binary files /dev/null and b/cs188-projects-master/P1 Search/testClasses.pyc differ
diff --git a/cs188-projects-master/P1 Search/testParser.py b/cs188-projects-master/P1 Search/testParser.py
new file mode 100644
index 0000000..ceedeaf
--- /dev/null
+++ b/cs188-projects-master/P1 Search/testParser.py	
@@ -0,0 +1,85 @@
+# testParser.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import sys
+
+class TestParser(object):
+
+    def __init__(self, path):
+        # save the path to the test file
+        self.path = path
+
+    def removeComments(self, rawlines):
+        # remove any portion of a line following a '#' symbol
+        fixed_lines = []
+        for l in rawlines:
+            idx = l.find('#')
+            if idx == -1:
+                fixed_lines.append(l)
+            else:
+                fixed_lines.append(l[0:idx])
+        return '\n'.join(fixed_lines)
+
+    def parse(self):
+        # read in the test case and remove comments
+        test = {}
+        with open(self.path) as handle:
+            raw_lines = handle.read().split('\n')
+
+        test_text = self.removeComments(raw_lines)
+        test['__raw_lines__'] = raw_lines
+        test['path'] = self.path
+        test['__emit__'] = []
+        lines = test_text.split('\n')
+        i = 0
+        # read a property in each loop cycle
+        while(i < len(lines)):
+            # skip blank lines
+            if re.match('\A\s*\Z', lines[i]):
+                test['__emit__'].append(("raw", raw_lines[i]))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"([^"]*)"\s*\Z', lines[i])
+            if m:
+                test[m.group(1)] = m.group(2)
+                test['__emit__'].append(("oneline", m.group(1)))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"""\s*\Z', lines[i])
+            if m:
+                msg = []
+                i += 1
+                while(not re.match('\A\s*"""\s*\Z', lines[i])):
+                    msg.append(raw_lines[i])
+                    i += 1
+                test[m.group(1)] = '\n'.join(msg)
+                test['__emit__'].append(("multiline", m.group(1)))
+                i += 1
+                continue
+            print 'error parsing test file: %s' % self.path
+            sys.exit(1)
+        return test
+
+
+def emitTestDict(testDict, handle):
+    for kind, data in testDict['__emit__']:
+        if kind == "raw":
+            handle.write(data + "\n")
+        elif kind == "oneline":
+            handle.write('%s: "%s"\n' % (data, testDict[data]))
+        elif kind == "multiline":
+            handle.write('%s: """\n%s\n"""\n' % (data, testDict[data]))
+        else:
+            raise Exception("Bad __emit__")
diff --git a/cs188-projects-master/P1 Search/testParser.pyc b/cs188-projects-master/P1 Search/testParser.pyc
new file mode 100644
index 0000000..82f3bac
Binary files /dev/null and b/cs188-projects-master/P1 Search/testParser.pyc differ
diff --git a/cs188-projects-master/P1 Search/test_cases/CONFIG b/cs188-projects-master/P1 Search/test_cases/CONFIG
new file mode 100644
index 0000000..dbed66b
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/CONFIG	
@@ -0,0 +1 @@
+order: "q1 q2 q3 q4 q5 q6 q7 q8"
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/CONFIG b/cs188-projects-master/P1 Search/test_cases/q1/CONFIG
new file mode 100644
index 0000000..ad7e38a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/graph_backtrack.solution b/cs188-projects-master/P1 Search/test_cases/q1/graph_backtrack.solution
new file mode 100644
index 0000000..c52850c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/graph_backtrack.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q1/graph_backtrack.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->C 0:C->G"
+expanded_states: "A D C"
+rev_solution: "1:A->C 0:C->G"
+rev_expanded_states: "A B C"
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/graph_backtrack.test b/cs188-projects-master/P1 Search/test_cases/q1/graph_backtrack.test
new file mode 100644
index 0000000..05640a0
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/graph_backtrack.test	
@@ -0,0 +1,32 @@
+class: "GraphSearchTest"
+algorithm: "depthFirstSearch"
+
+diagram: """
+ B   
+ ^
+ |
+*A --> C --> G
+ |
+ V
+ D
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.  This tests whether
+you extract the sequence of actions correctly even
+if your search backtracks.  If you fail this, your
+nodes are not correctly tracking the sequences of
+actions required to reach them.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+A 1:A->C C 2.0
+A 2:A->D D 4.0
+C 0:C->G G 8.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/graph_bfs_vs_dfs.solution b/cs188-projects-master/P1 Search/test_cases/q1/graph_bfs_vs_dfs.solution
new file mode 100644
index 0000000..0680f92
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/graph_bfs_vs_dfs.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q1/graph_bfs_vs_dfs.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "2:A->D 0:D->G"
+expanded_states: "A D"
+rev_solution: "0:A->B 0:B->D 0:D->G"
+rev_expanded_states: "A B D"
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/graph_bfs_vs_dfs.test b/cs188-projects-master/P1 Search/test_cases/q1/graph_bfs_vs_dfs.test
new file mode 100644
index 0000000..155e1fe
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/graph_bfs_vs_dfs.test	
@@ -0,0 +1,30 @@
+# Graph where BFS finds the optimal solution but DFS does not
+class: "GraphSearchTest"
+algorithm: "depthFirstSearch"
+
+diagram: """
+/-- B
+|   ^
+|   |
+|  *A -->[G]
+|   |     ^
+|   V     |
+\-->D ----/
+
+A is the start state, G is the goal.  Arrows
+mark possible transitions
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+A 1:A->G G 2.0
+A 2:A->D D 4.0
+B 0:B->D D 8.0
+D 0:D->G G 16.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/graph_infinite.solution b/cs188-projects-master/P1 Search/test_cases/q1/graph_infinite.solution
new file mode 100644
index 0000000..82203ee
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/graph_infinite.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q1/graph_infinite.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "0:A->B 1:B->C 1:C->G"
+expanded_states: "A B C"
+rev_solution: "0:A->B 1:B->C 1:C->G"
+rev_expanded_states: "A B C"
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/graph_infinite.test b/cs188-projects-master/P1 Search/test_cases/q1/graph_infinite.test
new file mode 100644
index 0000000..692ac05
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/graph_infinite.test	
@@ -0,0 +1,30 @@
+# Graph where natural action choice leads to an infinite loop
+class: "GraphSearchTest"
+algorithm: "depthFirstSearch"
+
+diagram: """
+ B <--> C
+ ^     /|
+ |    / |
+ V   /  V
+*A<-/  [G]
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+B 0:B->A A 2.0
+B 1:B->C C 4.0
+C 0:C->A A 8.0
+C 1:C->G G 16.0
+C 2:C->B B 32.0
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/graph_manypaths.solution b/cs188-projects-master/P1 Search/test_cases/q1/graph_manypaths.solution
new file mode 100644
index 0000000..34b5a82
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/graph_manypaths.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q1/graph_manypaths.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "2:A->B2 0:B2->C 0:C->D 2:D->E2 0:E2->F 0:F->G"
+expanded_states: "A B2 C D E2 F"
+rev_solution: "0:A->B1 0:B1->C 0:C->D 0:D->E1 0:E1->F 0:F->G"
+rev_expanded_states: "A B1 C D E1 F"
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/graph_manypaths.test b/cs188-projects-master/P1 Search/test_cases/q1/graph_manypaths.test
new file mode 100644
index 0000000..953c4eb
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/graph_manypaths.test	
@@ -0,0 +1,39 @@
+class: "GraphSearchTest"
+algorithm: "depthFirstSearch"
+
+diagram: """
+    B1          E1
+   ^  \        ^  \
+  /    V      /    V
+*A --> C --> D --> F --> [G]
+  \    ^      \    ^
+   V  /        V  /
+    B2          E2
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.  This graph has multiple
+paths to the goal, where nodes with the same state 
+are added to the fringe multiple times before they
+are expanded.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B1 B1 1.0
+A 1:A->C C 2.0
+A 2:A->B2 B2 4.0
+B1 0:B1->C C 8.0
+B2 0:B2->C C 16.0
+C 0:C->D D 32.0
+D 0:D->E1 E1 64.0
+D 1:D->F F 128.0
+D 2:D->E2 E2 256.0
+E1 0:E1->F F 512.0
+E2 0:E2->F F 1024.0
+F 0:F->G G 2048.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/pacman_1.solution b/cs188-projects-master/P1 Search/test_cases/q1/pacman_1.solution
new file mode 100644
index 0000000..82a670c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/pacman_1.solution	
@@ -0,0 +1,40 @@
+# This is the solution file for test_cases/q1/pacman_1.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+# Number of nodes expanded must be with a factor of 1.0 of the numbers below.
+solution: """
+West West West West West West West West West West West West West West
+West West West West West West West West West West West West West West
+West West West West West South South South South South South South
+South South East East East North North North North North North North
+East East South South South South South South East East North North
+North North North North East East South South South South East East
+North North East East East East East East East East South South South
+East East East East East East East South South South South South South
+South West West West West West West West West West West West West West
+West West West West South West West West West West West West West West
+"""
+expanded_nodes: "146"
+rev_solution: """
+South South West West West West South South East East East East South
+South West West West West South South East East East East South South
+West West West West South South South East North East East East South
+South South West West West West West West West North North North North
+North North North North West West West West West West West North North
+North East East East East South East East East North North North West
+West North North West West West West West West West West West West
+West West West West West West West West West West West West West West
+South South South South South South South South South East East East
+North North North North North North North East East South South South
+South South South East East North North North North North North East
+East South South South South East East North North North North East
+East East East East South South West West West South South East East
+East South South West West West West West West South South West West
+West West West South West West West West West South South East East
+East East East East East North East East East East East North North
+East East East East East East North East East East East East South
+South West West West South West West West West West West South South
+West West West West West South West West West West West West West West
+West
+"""
+rev_expanded_nodes: "269"
diff --git a/cs188-projects-master/P1 Search/test_cases/q1/pacman_1.test b/cs188-projects-master/P1 Search/test_cases/q1/pacman_1.test
new file mode 100644
index 0000000..6ae5412
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q1/pacman_1.test	
@@ -0,0 +1,27 @@
+# This is a basic depth first search test
+class: "PacmanSearchTest"
+algorithm: "depthFirstSearch"
+
+# The following specifies the layout to be used 
+layoutName: "mediumMaze"
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% %
+% %%   %   %      %%%%%%%   %%     %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % %             %% %%     %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%      %
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %%     %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %      %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%%        %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/CONFIG b/cs188-projects-master/P1 Search/test_cases/q2/CONFIG
new file mode 100644
index 0000000..ad7e38a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/graph_backtrack.solution b/cs188-projects-master/P1 Search/test_cases/q2/graph_backtrack.solution
new file mode 100644
index 0000000..6c669c2
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/graph_backtrack.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q2/graph_backtrack.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->C 0:C->G"
+expanded_states: "A B C D"
+rev_solution: "1:A->C 0:C->G"
+rev_expanded_states: "A D C B"
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/graph_backtrack.test b/cs188-projects-master/P1 Search/test_cases/q2/graph_backtrack.test
new file mode 100644
index 0000000..2b35d8b
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/graph_backtrack.test	
@@ -0,0 +1,32 @@
+class: "GraphSearchTest"
+algorithm: "breadthFirstSearch"
+
+diagram: """
+ B   
+ ^
+ |
+*A --> C --> G
+ |
+ V
+ D
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.  This tests whether
+you extract the sequence of actions correctly even
+if your search backtracks.  If you fail this, your
+nodes are not correctly tracking the sequences of
+actions required to reach them.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+A 1:A->C C 2.0
+A 2:A->D D 4.0
+C 0:C->G G 8.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/graph_bfs_vs_dfs.solution b/cs188-projects-master/P1 Search/test_cases/q2/graph_bfs_vs_dfs.solution
new file mode 100644
index 0000000..05eecc8
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/graph_bfs_vs_dfs.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q2/graph_bfs_vs_dfs.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->G"
+expanded_states: "A B"
+rev_solution: "1:A->G"
+rev_expanded_states: "A D"
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/graph_bfs_vs_dfs.test b/cs188-projects-master/P1 Search/test_cases/q2/graph_bfs_vs_dfs.test
new file mode 100644
index 0000000..47b78a6
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/graph_bfs_vs_dfs.test	
@@ -0,0 +1,30 @@
+# Graph where BFS finds the optimal solution but DFS does not
+class: "GraphSearchTest"
+algorithm: "breadthFirstSearch"
+
+diagram: """
+/-- B
+|   ^
+|   |
+|  *A -->[G]
+|   |     ^
+|   V     |
+\-->D ----/
+
+A is the start state, G is the goal.  Arrows
+mark possible transitions
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+A 1:A->G G 2.0
+A 2:A->D D 4.0
+B 0:B->D D 8.0
+D 0:D->G G 16.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/graph_infinite.solution b/cs188-projects-master/P1 Search/test_cases/q2/graph_infinite.solution
new file mode 100644
index 0000000..17b621c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/graph_infinite.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q2/graph_infinite.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "0:A->B 1:B->C 1:C->G"
+expanded_states: "A B C"
+rev_solution: "0:A->B 1:B->C 1:C->G"
+rev_expanded_states: "A B C"
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/graph_infinite.test b/cs188-projects-master/P1 Search/test_cases/q2/graph_infinite.test
new file mode 100644
index 0000000..2cae9ad
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/graph_infinite.test	
@@ -0,0 +1,30 @@
+# Graph where natural action choice leads to an infinite loop
+class: "GraphSearchTest"
+algorithm: "breadthFirstSearch"
+
+diagram: """
+ B <--> C
+ ^     /|
+ |    / |
+ V   /  V
+*A<-/  [G]
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+B 0:B->A A 2.0
+B 1:B->C C 4.0
+C 0:C->A A 8.0
+C 1:C->G G 16.0
+C 2:C->B B 32.0
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/graph_manypaths.solution b/cs188-projects-master/P1 Search/test_cases/q2/graph_manypaths.solution
new file mode 100644
index 0000000..0cea422
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/graph_manypaths.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q2/graph_manypaths.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->C 0:C->D 1:D->F 0:F->G"
+expanded_states: "A B1 C B2 D E1 F E2"
+rev_solution: "1:A->C 0:C->D 1:D->F 0:F->G"
+rev_expanded_states: "A B2 C B1 D E2 F E1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/graph_manypaths.test b/cs188-projects-master/P1 Search/test_cases/q2/graph_manypaths.test
new file mode 100644
index 0000000..7c636ea
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/graph_manypaths.test	
@@ -0,0 +1,39 @@
+class: "GraphSearchTest"
+algorithm: "breadthFirstSearch"
+
+diagram: """
+    B1          E1
+   ^  \        ^  \
+  /    V      /    V
+*A --> C --> D --> F --> [G]
+  \    ^      \    ^
+   V  /        V  /
+    B2          E2
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.  This graph has multiple
+paths to the goal, where nodes with the same state 
+are added to the fringe multiple times before they
+are expanded.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B1 B1 1.0
+A 1:A->C C 2.0
+A 2:A->B2 B2 4.0
+B1 0:B1->C C 8.0
+B2 0:B2->C C 16.0
+C 0:C->D D 32.0
+D 0:D->E1 E1 64.0
+D 1:D->F F 128.0
+D 2:D->E2 E2 256.0
+E1 0:E1->F F 512.0
+E2 0:E2->F F 1024.0
+F 0:F->G G 2048.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/pacman_1.solution b/cs188-projects-master/P1 Search/test_cases/q2/pacman_1.solution
new file mode 100644
index 0000000..8f6d2bd
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/pacman_1.solution	
@@ -0,0 +1,22 @@
+# This is the solution file for test_cases/q2/pacman_1.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+# Number of nodes expanded must be with a factor of 1.0 of the numbers below.
+solution: """
+West West West West West West West West West South South East East
+South South South West West West North West West West West South South
+South East East East East East East East South South South South South
+South South West West West West West West West West West West West
+West West West West West West South West West West West West West West
+West West
+"""
+expanded_nodes: "269"
+rev_solution: """
+West West West West West West West West West South South East East
+South South South West West West North West West West West South South
+South East East East East East East East South South South South South
+South South West West West West West West West West West West West
+West West West West West West South West West West West West West West
+West West
+"""
+rev_expanded_nodes: "269"
diff --git a/cs188-projects-master/P1 Search/test_cases/q2/pacman_1.test b/cs188-projects-master/P1 Search/test_cases/q2/pacman_1.test
new file mode 100644
index 0000000..c913f0c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q2/pacman_1.test	
@@ -0,0 +1,27 @@
+# This is a basic breadth first search test
+class: "PacmanSearchTest"
+algorithm: "breadthFirstSearch"
+
+# The following specifies the layout to be used 
+layoutName: "mediumMaze"
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% %
+% %%   %   %      %%%%%%%   %%     %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % %             %% %%     %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%      %
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %%     %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %      %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%%        %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/CONFIG b/cs188-projects-master/P1 Search/test_cases/q3/CONFIG
new file mode 100644
index 0000000..e5332c3
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/CONFIG	
@@ -0,0 +1,2 @@
+class: "PassAllTestsQuestion"
+max_points: "3"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/graph_backtrack.solution b/cs188-projects-master/P1 Search/test_cases/q3/graph_backtrack.solution
new file mode 100644
index 0000000..d150cb7
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/graph_backtrack.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q3/graph_backtrack.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->C 0:C->G"
+expanded_states: "A B C D"
+rev_solution: "1:A->C 0:C->G"
+rev_expanded_states: "A B C D"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/graph_backtrack.test b/cs188-projects-master/P1 Search/test_cases/q3/graph_backtrack.test
new file mode 100644
index 0000000..a74bd9e
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/graph_backtrack.test	
@@ -0,0 +1,32 @@
+class: "GraphSearchTest"
+algorithm: "uniformCostSearch"
+
+diagram: """
+ B   
+ ^
+ |
+*A --> C --> G
+ |
+ V
+ D
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.  This tests whether
+you extract the sequence of actions correctly even
+if your search backtracks.  If you fail this, your
+nodes are not correctly tracking the sequences of
+actions required to reach them.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+A 1:A->C C 2.0
+A 2:A->D D 4.0
+C 0:C->G G 8.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/graph_bfs_vs_dfs.solution b/cs188-projects-master/P1 Search/test_cases/q3/graph_bfs_vs_dfs.solution
new file mode 100644
index 0000000..5dfffca
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/graph_bfs_vs_dfs.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q3/graph_bfs_vs_dfs.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->G"
+expanded_states: "A B"
+rev_solution: "1:A->G"
+rev_expanded_states: "A B"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/graph_bfs_vs_dfs.test b/cs188-projects-master/P1 Search/test_cases/q3/graph_bfs_vs_dfs.test
new file mode 100644
index 0000000..87aa465
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/graph_bfs_vs_dfs.test	
@@ -0,0 +1,30 @@
+# Graph where BFS finds the optimal solution but DFS does not
+class: "GraphSearchTest"
+algorithm: "uniformCostSearch"
+
+diagram: """
+/-- B
+|   ^
+|   |
+|  *A -->[G]
+|   |     ^
+|   V     |
+\-->D ----/
+
+A is the start state, G is the goal.  Arrows
+mark possible transitions
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+A 1:A->G G 2.0
+A 2:A->D D 4.0
+B 0:B->D D 8.0
+D 0:D->G G 16.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/graph_infinite.solution b/cs188-projects-master/P1 Search/test_cases/q3/graph_infinite.solution
new file mode 100644
index 0000000..c6cd195
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/graph_infinite.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q3/graph_infinite.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "0:A->B 1:B->C 1:C->G"
+expanded_states: "A B C"
+rev_solution: "0:A->B 1:B->C 1:C->G"
+rev_expanded_states: "A B C"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/graph_infinite.test b/cs188-projects-master/P1 Search/test_cases/q3/graph_infinite.test
new file mode 100644
index 0000000..80d807f
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/graph_infinite.test	
@@ -0,0 +1,30 @@
+# Graph where natural action choice leads to an infinite loop
+class: "GraphSearchTest"
+algorithm: "uniformCostSearch"
+
+diagram: """
+ B <--> C
+ ^     /|
+ |    / |
+ V   /  V
+*A<-/  [G]
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+B 0:B->A A 2.0
+B 1:B->C C 4.0
+C 0:C->A A 8.0
+C 1:C->G G 16.0
+C 2:C->B B 32.0
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/graph_manypaths.solution b/cs188-projects-master/P1 Search/test_cases/q3/graph_manypaths.solution
new file mode 100644
index 0000000..628568f
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/graph_manypaths.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q3/graph_manypaths.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->C 0:C->D 1:D->F 0:F->G"
+expanded_states: "A B1 C B2 D E1 F E2"
+rev_solution: "1:A->C 0:C->D 1:D->F 0:F->G"
+rev_expanded_states: "A B1 C B2 D E1 F E2"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/graph_manypaths.test b/cs188-projects-master/P1 Search/test_cases/q3/graph_manypaths.test
new file mode 100644
index 0000000..8c39dc7
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/graph_manypaths.test	
@@ -0,0 +1,39 @@
+class: "GraphSearchTest"
+algorithm: "uniformCostSearch"
+
+diagram: """
+    B1          E1
+   ^  \        ^  \
+  /    V      /    V
+*A --> C --> D --> F --> [G]
+  \    ^      \    ^
+   V  /        V  /
+    B2          E2
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.  This graph has multiple
+paths to the goal, where nodes with the same state 
+are added to the fringe multiple times before they
+are expanded.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B1 B1 1.0
+A 1:A->C C 2.0
+A 2:A->B2 B2 4.0
+B1 0:B1->C C 8.0
+B2 0:B2->C C 16.0
+C 0:C->D D 32.0
+D 0:D->E1 E1 64.0
+D 1:D->F F 128.0
+D 2:D->E2 E2 256.0
+E1 0:E1->F F 512.0
+E2 0:E2->F F 1024.0
+F 0:F->G G 2048.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_0_graph.solution b/cs188-projects-master/P1 Search/test_cases/q3/ucs_0_graph.solution
new file mode 100644
index 0000000..b8c1509
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_0_graph.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q3/ucs_0_graph.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "Right Down Down"
+expanded_states: "A B D C G"
+rev_solution: "Right Down Down"
+rev_expanded_states: "A B D C G"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_0_graph.test b/cs188-projects-master/P1 Search/test_cases/q3/ucs_0_graph.test
new file mode 100644
index 0000000..e8f3d4c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_0_graph.test	
@@ -0,0 +1,39 @@
+class: "GraphSearchTest"
+algorithm: "uniformCostSearch"
+
+diagram: """
+          C
+          ^
+          | 2
+     2    V   4 
+*A <----> B -----> [H]
+          |1 
+     1.5  V  2.5
+ G <----- D -----> E
+          |
+        2 | 
+          V
+         [F]
+
+A is the start state, F and H is the goal.  Arrows mark possible state 
+transitions.  The number next to the arrow is the cost of that transition.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: H F
+A Right B 2.0
+B Right H 4.0
+B Down D 1.0
+B Up C 2.0
+B Left A 2.0
+C Down B 2.0
+D Right E 2.5
+D Down F 2.0
+D Left G 1.5
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_1_problemC.solution b/cs188-projects-master/P1 Search/test_cases/q3/ucs_1_problemC.solution
new file mode 100644
index 0000000..dc8fc4c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_1_problemC.solution	
@@ -0,0 +1,22 @@
+# This is the solution file for test_cases/q3/ucs_1_problemC.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+# Number of nodes expanded must be with a factor of 1.1 of the numbers below.
+solution: """
+West West West West West West West West West South South East East
+South South South West West West North West West West West South South
+South East East East East East East East South South South South South
+South South West West West West West West West West West West West
+West West West West West West South West West West West West West West
+West West
+"""
+expanded_nodes: "269"
+rev_solution: """
+West West West West West West West West West South South East East
+South South South West West West North West West West West South South
+South East East East East East East East South South South South South
+South South West West West West West West West West West West West
+West West West West West West South West West West West West West West
+West West
+"""
+rev_expanded_nodes: "269"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_1_problemC.test b/cs188-projects-master/P1 Search/test_cases/q3/ucs_1_problemC.test
new file mode 100644
index 0000000..1ce714d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_1_problemC.test	
@@ -0,0 +1,28 @@
+class: "PacmanSearchTest"
+algorithm: "uniformCostSearch"
+points: "0.5"
+
+# The following specifies the layout to be used 
+layoutName: "mediumMaze"
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% %
+% %%   %   %      %%%%%%%   %%     %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % %             %% %%     %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%      %
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %%     %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %      %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%%        %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+"""
+leewayFactor: "1.1"
+#costFn: "lambda pos: 1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_2_problemE.solution b/cs188-projects-master/P1 Search/test_cases/q3/ucs_2_problemE.solution
new file mode 100644
index 0000000..d84245f
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_2_problemE.solution	
@@ -0,0 +1,22 @@
+# This is the solution file for test_cases/q3/ucs_2_problemE.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+# Number of nodes expanded must be with a factor of 1.1 of the numbers below.
+solution: """
+South South West West West West South South East East East East South
+South West West West West South South East East East East South South
+West West West West South South East East East East South South South
+West West West West West West West North West West West West West West
+West West West West West West West West West West West South West West
+West West West West West West West
+"""
+expanded_nodes: "260"
+rev_solution: """
+South South West West West West South South East East East East South
+South West West West West South South East East East East South South
+West West West West South South East East East East South South South
+West West West West West West West North West West West West West West
+West West West West West West West West West West West South West West
+West West West West West West West
+"""
+rev_expanded_nodes: "260"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_2_problemE.test b/cs188-projects-master/P1 Search/test_cases/q3/ucs_2_problemE.test
new file mode 100644
index 0000000..3c609f2
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_2_problemE.test	
@@ -0,0 +1,28 @@
+class: "PacmanSearchTest"
+algorithm: "uniformCostSearch"
+points: "0.5"
+
+# The following specifies the layout to be used 
+layoutName: "mediumMaze"
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% %
+% %%   %   %      %%%%%%%   %%     %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % %             %% %%     %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%      %
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %%     %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %      %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%%        %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+"""
+leewayFactor: "1.1"
+costFn: "lambda pos: .5 ** pos[0]"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_3_problemW.solution b/cs188-projects-master/P1 Search/test_cases/q3/ucs_3_problemW.solution
new file mode 100644
index 0000000..e04325d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_3_problemW.solution	
@@ -0,0 +1,34 @@
+# This is the solution file for test_cases/q3/ucs_3_problemW.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+# Number of nodes expanded must be with a factor of 1.1 of the numbers below.
+solution: """
+West West West West West West West West West West West West West West
+West West West West West West West West West West West West West West
+West West West West West South South South South South South South
+South South East East East North North North North North North North
+East East South South South South South South East East North North
+North North North North East East South South South South East East
+North North East East South South East East East South South West West
+West West West West South South West West West West West South West
+West West West West South South East East East East East East East
+North East East East East East North North East East East East East
+East South South West West West West South South West West West West
+West South West West West West West West West West West
+"""
+expanded_nodes: "173"
+rev_solution: """
+West West West West West West West West West West West West West West
+West West West West West West West West West West West West West West
+West West West West West South South South South South South South
+South South East East East North North North North North North North
+East East South South South South South South East East North North
+North North North North East East South South South South East East
+North North East East South South East East East South South West West
+West West West West South South West West West West West South West
+West West West West South South East East East East East East East
+North East East East East East North North East East East East East
+East South South West West West West South South West West West West
+West South West West West West West West West West West
+"""
+rev_expanded_nodes: "173"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_3_problemW.test b/cs188-projects-master/P1 Search/test_cases/q3/ucs_3_problemW.test
new file mode 100644
index 0000000..fbc2fad
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_3_problemW.test	
@@ -0,0 +1,28 @@
+class: "PacmanSearchTest"
+algorithm: "uniformCostSearch"
+points: "0.5"
+
+# The following specifies the layout to be used 
+layoutName: "mediumMaze"
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% %
+% %%   %   %      %%%%%%%   %%     %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % %             %% %%     %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%      %
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %%     %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %      %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%%        %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+"""
+leewayFactor: "1.1"
+costFn: "lambda pos: 2 ** pos[0]"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_4_testSearch.solution b/cs188-projects-master/P1 Search/test_cases/q3/ucs_4_testSearch.solution
new file mode 100644
index 0000000..b8c5303
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_4_testSearch.solution	
@@ -0,0 +1,12 @@
+# This is the solution file for test_cases/q3/ucs_4_testSearch.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+# Number of nodes expanded must be with a factor of 2.0 of the numbers below.
+solution: """
+West East East South South West West
+"""
+expanded_nodes: "14"
+rev_solution: """
+West East East South South West West
+"""
+rev_expanded_nodes: "13"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_4_testSearch.test b/cs188-projects-master/P1 Search/test_cases/q3/ucs_4_testSearch.test
new file mode 100644
index 0000000..a16c6d8
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_4_testSearch.test	
@@ -0,0 +1,16 @@
+class: "PacmanSearchTest"
+algorithm: "uniformCostSearch"
+points: "0.5"
+
+# The following specifies the layout to be used 
+layoutName: "testSearch"
+layout: """
+%%%%%
+%.P %
+%%% %
+%.  %
+%%%%%
+"""
+searchProblemClass: "FoodSearchProblem"
+leewayFactor: "2"
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_5_goalAtDequeue.solution b/cs188-projects-master/P1 Search/test_cases/q3/ucs_5_goalAtDequeue.solution
new file mode 100644
index 0000000..7d6c982
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_5_goalAtDequeue.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q3/ucs_5_goalAtDequeue.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->B 0:B->C 0:C->G"
+expanded_states: "A B C"
+rev_solution: "1:A->B 0:B->C 0:C->G"
+rev_expanded_states: "A B C"
diff --git a/cs188-projects-master/P1 Search/test_cases/q3/ucs_5_goalAtDequeue.test b/cs188-projects-master/P1 Search/test_cases/q3/ucs_5_goalAtDequeue.test
new file mode 100644
index 0000000..72b35bc
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q3/ucs_5_goalAtDequeue.test	
@@ -0,0 +1,29 @@
+class: "GraphSearchTest"
+algorithm: "uniformCostSearch"
+
+diagram: """
+    1      1      1
+*A ---> B ---> C ---> [G]
+ |                     ^
+ |         10          |
+ \---------------------/
+
+A is the start state, G is the goal.  Arrows mark possible state 
+transitions.  The number next to the arrow is the cost of that transition.
+
+If you fail this test case, you may be incorrectly testing if a node is a goal 
+before adding it into the queue, instead of testing when you remove the node 
+from the queue.  See the algorithm pseudocode in lecture.
+"""
+
+graph: """
+start_state: A
+goal_states: G
+A 0:A->G G 10.0
+A 1:A->B B 1.0
+B 0:B->C C 1.0
+C 0:C->G G 1.0
+"""
+# We only care about the solution, not the expansion order.
+exactExpansionOrder: "False"
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/CONFIG b/cs188-projects-master/P1 Search/test_cases/q4/CONFIG
new file mode 100644
index 0000000..b24223d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/CONFIG	
@@ -0,0 +1,2 @@
+class: "PassAllTestsQuestion"
+max_points: "3"
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/astar_0.solution b/cs188-projects-master/P1 Search/test_cases/q4/astar_0.solution
new file mode 100644
index 0000000..459cadd
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/astar_0.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q4/astar_0.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "Right Down Down"
+expanded_states: "A B D C G"
+rev_solution: "Right Down Down"
+rev_expanded_states: "A B D C G"
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/astar_0.test b/cs188-projects-master/P1 Search/test_cases/q4/astar_0.test
new file mode 100644
index 0000000..9b3b539
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/astar_0.test	
@@ -0,0 +1,39 @@
+class: "GraphSearchTest"
+algorithm: "aStarSearch"
+
+diagram: """
+          C
+          ^
+          | 2
+     2    V   4 
+*A <----> B -----> [H]
+          | 
+     1.5  V  2.5
+ G <----- D -----> E
+          |
+        2 | 
+          V
+         [F]
+
+A is the start state, F and H is the goal.  Arrows mark possible state 
+transitions.  The number next to the arrow is the cost of that transition.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: H F
+A Right B 2.0
+B Right H 4.0
+B Down D 1.0
+B Up C 2.0
+B Left A 2.0
+C Down B 2.0
+D Right E 2.5
+D Down F 2.0
+D Left G 1.5
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/astar_1_graph_heuristic.solution b/cs188-projects-master/P1 Search/test_cases/q4/astar_1_graph_heuristic.solution
new file mode 100644
index 0000000..7767c27
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/astar_1_graph_heuristic.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q4/astar_1_graph_heuristic.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "0 0 2"
+expanded_states: "S A D C"
+rev_solution: "0 0 2"
+rev_expanded_states: "S A D C"
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/astar_1_graph_heuristic.test b/cs188-projects-master/P1 Search/test_cases/q4/astar_1_graph_heuristic.test
new file mode 100644
index 0000000..b5afd79
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/astar_1_graph_heuristic.test	
@@ -0,0 +1,54 @@
+class: "GraphSearchTest"
+algorithm: "aStarSearch"
+
+diagram: """
+     2     3     2
+  S --- A --- C ---> G
+  | \       /       ^
+3 |  \ 5   / 1     / 
+  |   \   /       / 
+  B --- D -------/
+     4         5  
+
+S is the start state, G is the goal.  Arrows mark possible state 
+transitions.  The number next to the arrow is the cost of that transition.
+
+The heuristic value of each state is:
+	S 6.0
+	A 2.5
+	B 5.25
+	C 1.125
+	D 1.0625
+	G 0
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: S
+goal_states: G
+S 0 A 2.0
+S 1 B 3.0
+S 2 D 5.0
+A 0 C 3.0
+A 1 S 2.0
+B 0 D 4.0
+B 1 S 3.0
+C 0 A 3.0
+C 1 D 1.0
+C 2 G 2.0
+D 0 B 4.0
+D 1 C 1.0
+D 2 G 5.0
+D 3 S 5.0
+"""
+heuristic: """
+S 6.0
+A 2.5
+B 5.25
+C 1.125
+D 1.0625
+G 0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/astar_2_manhattan.solution b/cs188-projects-master/P1 Search/test_cases/q4/astar_2_manhattan.solution
new file mode 100644
index 0000000..65bf5f5
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/astar_2_manhattan.solution	
@@ -0,0 +1,22 @@
+# This is the solution file for test_cases/q4/astar_2_manhattan.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+# Number of nodes expanded must be with a factor of 1.1 of the numbers below.
+solution: """
+West West West West West West West West West South South East East
+South South South West West West North West West West West South South
+South East East East East East East East South South South South South
+South South West West West West West West West West West West West
+West West West West West West South West West West West West West West
+West West
+"""
+expanded_nodes: "221"
+rev_solution: """
+West West West West West West West West West South South East East
+South South South West West West North West West West West South South
+South East East East East East East East South South South South South
+South South West West West West West West West West West West West
+West West West West West West South West West West West West West West
+West West
+"""
+rev_expanded_nodes: "221"
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/astar_2_manhattan.test b/cs188-projects-master/P1 Search/test_cases/q4/astar_2_manhattan.test
new file mode 100644
index 0000000..e936195
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/astar_2_manhattan.test	
@@ -0,0 +1,27 @@
+class: "PacmanSearchTest"
+algorithm: "aStarSearch"
+
+# The following specifies the layout to be used 
+layoutName: "mediumMaze"
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%                                 P%
+% %%%%%%%%%%%%%%%%%%%%%%% %%%%%%%% %
+% %%   %   %      %%%%%%%   %%     %
+% %% % % % % %%%% %%%%%%%%% %% %%%%%
+% %% % % % %             %% %%     %
+% %% % % % % % %%%%  %%%    %%%%%% %
+% %  % % %   %    %% %%%%%%%%      %
+% %% % % %%%%%%%% %%        %% %%%%%
+% %% %   %%       %%%%%%%%% %%     %
+%    %%%%%% %%%%%%%      %% %%%%%% %
+%%%%%%      %       %%%% %% %      %
+%      %%%%%% %%%%% %    %% %% %%%%%
+% %%%%%%      %       %%%%% %%     %
+%        %%%%%% %%%%%%%%%%% %%  %% %
+%%%%%%%%%%                  %%%%%% %
+%.         %%%%%%%%%%%%%%%%        %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+"""
+leewayFactor: "1.1"
+heuristic: "manhattanHeuristic"
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/astar_3_goalAtDequeue.solution b/cs188-projects-master/P1 Search/test_cases/q4/astar_3_goalAtDequeue.solution
new file mode 100644
index 0000000..edb3502
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/astar_3_goalAtDequeue.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q4/astar_3_goalAtDequeue.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->B 0:B->C 0:C->G"
+expanded_states: "A B C"
+rev_solution: "1:A->B 0:B->C 0:C->G"
+rev_expanded_states: "A B C"
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/astar_3_goalAtDequeue.test b/cs188-projects-master/P1 Search/test_cases/q4/astar_3_goalAtDequeue.test
new file mode 100644
index 0000000..c4d1903
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/astar_3_goalAtDequeue.test	
@@ -0,0 +1,29 @@
+class: "GraphSearchTest"
+algorithm: "aStarSearch"
+
+diagram: """
+    1      1      1
+*A ---> B ---> C ---> [G]
+ |                     ^
+ |         10          |
+ \---------------------/
+
+A is the start state, G is the goal.  Arrows mark possible state 
+transitions.  The number next to the arrow is the cost of that transition.
+
+If you fail this test case, you may be incorrectly testing if a node is a goal 
+before adding it into the queue, instead of testing when you remove the node 
+from the queue.  See the algorithm pseudocode in lecture.
+"""
+
+graph: """
+start_state: A
+goal_states: G
+A 0:A->G G 10.0
+A 1:A->B B 1.0
+B 0:B->C C 1.0
+C 0:C->G G 1.0
+"""
+# We only care about the solution, not the expansion order.
+exactExpansionOrder: "False"
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/graph_backtrack.solution b/cs188-projects-master/P1 Search/test_cases/q4/graph_backtrack.solution
new file mode 100644
index 0000000..fc51794
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/graph_backtrack.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q4/graph_backtrack.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->C 0:C->G"
+expanded_states: "A B C D"
+rev_solution: "1:A->C 0:C->G"
+rev_expanded_states: "A B C D"
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/graph_backtrack.test b/cs188-projects-master/P1 Search/test_cases/q4/graph_backtrack.test
new file mode 100644
index 0000000..84e0126
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/graph_backtrack.test	
@@ -0,0 +1,32 @@
+class: "GraphSearchTest"
+algorithm: "aStarSearch"
+
+diagram: """
+ B   
+ ^
+ |
+*A --> C --> G
+ |
+ V
+ D
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.  This tests whether
+you extract the sequence of actions correctly even
+if your search backtracks.  If you fail this, your
+nodes are not correctly tracking the sequences of
+actions required to reach them.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B B 1.0
+A 1:A->C C 2.0
+A 2:A->D D 4.0
+C 0:C->G G 8.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/graph_manypaths.solution b/cs188-projects-master/P1 Search/test_cases/q4/graph_manypaths.solution
new file mode 100644
index 0000000..0caa767
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/graph_manypaths.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q4/graph_manypaths.test.
+# This solution is designed to support both right-to-left
+# and left-to-right implementations.
+solution: "1:A->C 0:C->D 1:D->F 0:F->G"
+expanded_states: "A B1 C B2 D E1 F E2"
+rev_solution: "1:A->C 0:C->D 1:D->F 0:F->G"
+rev_expanded_states: "A B1 C B2 D E1 F E2"
diff --git a/cs188-projects-master/P1 Search/test_cases/q4/graph_manypaths.test b/cs188-projects-master/P1 Search/test_cases/q4/graph_manypaths.test
new file mode 100644
index 0000000..82fdf87
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q4/graph_manypaths.test	
@@ -0,0 +1,39 @@
+class: "GraphSearchTest"
+algorithm: "aStarSearch"
+
+diagram: """
+    B1          E1
+   ^  \        ^  \
+  /    V      /    V
+*A --> C --> D --> F --> [G]
+  \    ^      \    ^
+   V  /        V  /
+    B2          E2
+
+A is the start state, G is the goal.  Arrows mark 
+possible state transitions.  This graph has multiple
+paths to the goal, where nodes with the same state 
+are added to the fringe multiple times before they
+are expanded.
+"""
+# The following section specifies the search problem and the solution.
+# The graph is specified by first the set of start states, followed by
+# the set of goal states, and lastly by the state transitions which are
+# of the form: 
+#         
+graph: """
+start_state: A
+goal_states: G
+A 0:A->B1 B1 1.0
+A 1:A->C C 2.0
+A 2:A->B2 B2 4.0
+B1 0:B1->C C 8.0
+B2 0:B2->C C 16.0
+C 0:C->D D 32.0
+D 0:D->E1 E1 64.0
+D 1:D->F F 128.0
+D 2:D->E2 E2 256.0
+E1 0:E1->F F 512.0
+E2 0:E2->F F 1024.0
+F 0:F->G G 2048.0
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q5/CONFIG b/cs188-projects-master/P1 Search/test_cases/q5/CONFIG
new file mode 100644
index 0000000..e7c6582
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q5/CONFIG	
@@ -0,0 +1,3 @@
+class: "PassAllTestsQuestion"
+max_points: "3"
+depends: "q2"
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/test_cases/q5/corner_tiny_corner.solution b/cs188-projects-master/P1 Search/test_cases/q5/corner_tiny_corner.solution
new file mode 100644
index 0000000..161bf15
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q5/corner_tiny_corner.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/corner_tiny_corner.test.
+solution_length: "28"
diff --git a/cs188-projects-master/P1 Search/test_cases/q5/corner_tiny_corner.test b/cs188-projects-master/P1 Search/test_cases/q5/corner_tiny_corner.test
new file mode 100644
index 0000000..823bd47
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q5/corner_tiny_corner.test	
@@ -0,0 +1,14 @@
+class: "CornerProblemTest"
+
+layoutName: "tinyCorner"
+layout: """
+%%%%%%%%
+%.    .%
+%   P  %
+% %%%% %
+% %    %
+% % %%%%
+%.%   .%
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/CONFIG b/cs188-projects-master/P1 Search/test_cases/q6/CONFIG
new file mode 100644
index 0000000..b76e0eb
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/CONFIG	
@@ -0,0 +1,3 @@
+class: "Q6PartialCreditQuestion"
+max_points: "3"
+depends: "q4"
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_1.solution b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_1.solution
new file mode 100644
index 0000000..4385d9b
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_1.solution	
@@ -0,0 +1,7 @@
+# In order for a heuristic to be admissible, the value
+# of the heuristic must be less at each state than the
+# true cost of the optimal path from that state to a goal.
+cost: "8"
+path: """
+North South South East East East North North
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_1.test b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_1.test
new file mode 100644
index 0000000..93379ac
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_1.test	
@@ -0,0 +1,12 @@
+class: "CornerHeuristicSanity"
+points: "1"
+
+# The following specifies the layout to be used 
+layout: """
+%%%%%%
+%.  .%
+%P   %
+%.  .%
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_2.solution b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_2.solution
new file mode 100644
index 0000000..1aebe8a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_2.solution	
@@ -0,0 +1,7 @@
+# In order for a heuristic to be admissible, the value
+# of the heuristic must be less at each state than the
+# true cost of the optimal path from that state to a goal.
+cost: "8"
+path: """
+West North North East East East South South
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_2.test b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_2.test
new file mode 100644
index 0000000..18184a8
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_2.test	
@@ -0,0 +1,12 @@
+class: "CornerHeuristicSanity"
+points: "1"
+
+# The following specifies the layout to be used 
+layout: """
+%%%%%%
+%.  .%
+% %% %
+%.P%.%
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_3.solution b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_3.solution
new file mode 100644
index 0000000..c02dd57
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_3.solution	
@@ -0,0 +1,9 @@
+# In order for a heuristic to be admissible, the value
+# of the heuristic must be less at each state than the
+# true cost of the optimal path from that state to a goal.
+cost: "28"
+path: """
+South South South West West West West East East East East East North
+North North North North West West West South South South West West
+North North North
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_3.test b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_3.test
new file mode 100644
index 0000000..8f30442
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/corner_sanity_3.test	
@@ -0,0 +1,15 @@
+class: "CornerHeuristicSanity"
+points: "1"
+
+# The following specifies the layout to be used 
+layout: """
+%%%%%%%%
+%.%   .%
+% % %  %
+% % %P %
+%   %  %
+%%%%%  %
+%.    .%
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/medium_corners.solution b/cs188-projects-master/P1 Search/test_cases/q6/medium_corners.solution
new file mode 100644
index 0000000..913dc45
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/medium_corners.solution	
@@ -0,0 +1,16 @@
+# This solution file specifies the length of the optimal path
+# as well as the thresholds on number of nodes expanded to be
+# used in scoring.
+cost: "106"
+path: """
+North East East East East North North West West West West North North
+North North North North North North West West West West South South
+East East East East South South South South South South West West
+South South South West West East East North North North East East East
+East East East East East South South East East East East East North
+North East East North North East East North North East East East East
+South South South South East East North North East East South South
+South South South North North North North North North North West West
+North North East East North North
+"""
+thresholds: "2000 1600 1200"
diff --git a/cs188-projects-master/P1 Search/test_cases/q6/medium_corners.test b/cs188-projects-master/P1 Search/test_cases/q6/medium_corners.test
new file mode 100644
index 0000000..dfa0a68
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q6/medium_corners.test	
@@ -0,0 +1,19 @@
+class: "CornerHeuristicPacman"
+
+# The following specifies the layout to be used 
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%.      % % %              %.%
+%       % % %%%%%% %%%%%%% % %
+%       %        %     % %   %
+%%%%% %%%%% %%% %% %%%%% % %%%
+%   % % % %   %    %     %   %
+% %%% % % % %%%%%%%% %%% %%% %
+%       %     %%     % % %   %
+%%% % %%%%%%% %%%% %%% % % % %
+% %           %%     %     % %
+% % %%%%% % %%%% % %%% %%% % %
+%   %     %      % %   % %%% %
+%.  %P%%%%%      % %%% %    .%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+"""
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/CONFIG b/cs188-projects-master/P1 Search/test_cases/q7/CONFIG
new file mode 100644
index 0000000..ee85183
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/CONFIG	
@@ -0,0 +1,3 @@
+class: "PartialCreditQuestion"
+max_points: "4"
+depends: "q4"
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_1.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_1.solution
new file mode 100644
index 0000000..7a287f8
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_1.test.
+solution_cost: "0"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_1.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_1.test
new file mode 100644
index 0000000..7545a7a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_1.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 1"
+layout: """
+%%%%%%
+%    %
+%    %
+%P   %
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_10.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_10.solution
new file mode 100644
index 0000000..1917f05
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_10.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_10.test.
+solution_cost: "7"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_10.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_10.test
new file mode 100644
index 0000000..212c7bd
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_10.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 10"
+layout: """
+%%%%%%%%
+%      %
+%.  P .%
+%      %
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_11.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_11.solution
new file mode 100644
index 0000000..11c3289
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_11.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_11.test.
+solution_cost: "8"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_11.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_11.test
new file mode 100644
index 0000000..f5e6ed4
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_11.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 11"
+layout: """
+%%%%%%%%
+%      %
+%   P  %
+%.  . .%
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_12.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_12.solution
new file mode 100644
index 0000000..0edcc02
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_12.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_12.test.
+solution_cost: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_12.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_12.test
new file mode 100644
index 0000000..cc99a25
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_12.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 12"
+layout: """
+%%%%%%%%
+%      %
+%    P.%
+%      %
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_13.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_13.solution
new file mode 100644
index 0000000..c25d50b
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_13.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_13.test.
+solution_cost: "5"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_13.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_13.test
new file mode 100644
index 0000000..09d6f1e
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_13.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 13"
+layout: """
+%%%%%%%%
+%      %
+%P.   .%
+%      %
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_14.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_14.solution
new file mode 100644
index 0000000..e6cc475
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_14.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_14.test.
+solution_cost: "31"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_14.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_14.test
new file mode 100644
index 0000000..58982e3
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_14.test	
@@ -0,0 +1,19 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 14"
+layout: """
+%%%%%%%%%%
+%        %
+% ...%...%
+% .%.%.%.%
+% .%.%.%.%
+% .%.%.%.%
+% .%.%.%.%
+% .%.%.%.%
+%P.%...%.%
+%        %
+%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_15.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_15.solution
new file mode 100644
index 0000000..4eca0f1
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_15.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_15.test.
+solution_cost: "21"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_15.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_15.test
new file mode 100644
index 0000000..df605c1
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_15.test	
@@ -0,0 +1,32 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 15"
+layout: """
+%%%
+% %
+% %
+% %
+% %
+% %
+%.%
+%.%
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+%.%
+% %
+%P%
+% %
+% %
+% %
+% %
+%.%
+%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_16.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_16.solution
new file mode 100644
index 0000000..8d89992
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_16.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_16.test.
+solution_cost: "7"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_16.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_16.test
new file mode 100644
index 0000000..762b433
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_16.test	
@@ -0,0 +1,15 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 16"
+layout: """
+%%%%
+% .%
+%  %
+%P %
+%  %
+% .%
+%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_17.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_17.solution
new file mode 100644
index 0000000..63a9a1b
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_17.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_17.test.
+solution_cost: "16"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_17.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_17.test
new file mode 100644
index 0000000..a923f67
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_17.test	
@@ -0,0 +1,14 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 17"
+layout: """
+%%%%%%%%
+%.%....%
+%.% %%.%
+%.%P%%.%
+%...  .%
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_2.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_2.solution
new file mode 100644
index 0000000..ca5aba1
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_2.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_2.test.
+solution_cost: "0"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_2.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_2.test
new file mode 100644
index 0000000..956e75d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_2.test	
@@ -0,0 +1,32 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 2"
+layout: """
+%%%
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+%P%
+% %
+% %
+% %
+% %
+% %
+%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_3.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_3.solution
new file mode 100644
index 0000000..d1694b5
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_3.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_3.test.
+solution_cost: "0"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_3.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_3.test
new file mode 100644
index 0000000..250a8b1
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_3.test	
@@ -0,0 +1,15 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 3"
+layout: """
+%%%%
+%  %
+%  %
+%P %
+%  %
+%  %
+%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_4.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_4.solution
new file mode 100644
index 0000000..6e1e82a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_4.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_4.test.
+solution_cost: "0"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_4.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_4.test
new file mode 100644
index 0000000..ed86a0c
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_4.test	
@@ -0,0 +1,14 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 4"
+layout: """
+%%%%%%%%
+% %    %
+% % %% %
+% %P%% %
+%      %
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_5.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_5.solution
new file mode 100644
index 0000000..779e9e6
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_5.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_5.test.
+solution_cost: "11"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_5.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_5.test
new file mode 100644
index 0000000..1f44c48
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_5.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 5"
+layout: """
+%%%%%%
+%....%
+%....%
+%P...%
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_6.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_6.solution
new file mode 100644
index 0000000..906b510
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_6.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_6.test.
+solution_cost: "5"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_6.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_6.test
new file mode 100644
index 0000000..01d7f32
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_6.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 6"
+layout: """
+%%%%%%
+%   .%
+%.P..%
+%    %
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_7.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_7.solution
new file mode 100644
index 0000000..5994a7b
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_7.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_7.test.
+solution_cost: "7"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_7.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_7.test
new file mode 100644
index 0000000..b1db372
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_7.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 7"
+layout: """
+%%%%%%%
+%    .%
+%. P..%
+%     %
+%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_8.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_8.solution
new file mode 100644
index 0000000..0e4fb08
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_8.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_8.test.
+solution_cost: "5"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_8.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_8.test
new file mode 100644
index 0000000..b9430af
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_8.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 8"
+layout: """
+%%%%%%
+%   .%
+%   .%
+%P  .%
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_9.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_9.solution
new file mode 100644
index 0000000..1470d9a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_9.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_9.test.
+solution_cost: "6"
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_9.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_9.test
new file mode 100644
index 0000000..799b41d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_9.test	
@@ -0,0 +1,13 @@
+class: "HeuristicTest"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "Test 9"
+layout: """
+%%%%%%
+% %. %
+% %%.%
+%P. .%
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_grade_tricky.solution b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_grade_tricky.solution
new file mode 100644
index 0000000..cd6fd7d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_grade_tricky.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/food_heuristic_grade_tricky.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_grade_tricky.test b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_grade_tricky.test
new file mode 100644
index 0000000..081fb0d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q7/food_heuristic_grade_tricky.test	
@@ -0,0 +1,19 @@
+class: "HeuristicGrade"
+
+heuristic: "foodHeuristic"
+searchProblemClass: "FoodSearchProblem"
+layoutName: "trickySearch"
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%.           ..%   %
+%.%%.%%.%%.%%.%% % %
+%        P       % %
+%%%%%%%%%%%%%%%%%% %
+%.....             %
+%%%%%%%%%%%%%%%%%%%%
+"""
+# One point always, an extra point for each
+# threshold passed.
+basePoints: "1"
+gradingThresholds: "15000 12000 9000 7000"
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/CONFIG b/cs188-projects-master/P1 Search/test_cases/q8/CONFIG
new file mode 100644
index 0000000..b24223d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/CONFIG	
@@ -0,0 +1,2 @@
+class: "PassAllTestsQuestion"
+max_points: "3"
\ No newline at end of file
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_1.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_1.solution
new file mode 100644
index 0000000..300fc25
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_1.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_1.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_1.test
new file mode 100644
index 0000000..672989f
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_1.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 1"
+layout: """
+%%%%%%
+%....%
+%....%
+%P...%
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_10.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_10.solution
new file mode 100644
index 0000000..174b5dd
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_10.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_10.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_10.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_10.test
new file mode 100644
index 0000000..b1e0f33
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_10.test	
@@ -0,0 +1,17 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 10"
+layout: """
+%%%%%%%%%%
+%        %
+% ...%...%
+% .%.%.%.%
+% .%.%.%.%
+% .%.%.%.%
+% .%.%.%.%
+% .%.%.%.%
+%P.%...%.%
+%        %
+%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_11.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_11.solution
new file mode 100644
index 0000000..80bbe38
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_11.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_11.test.
+solution_length: "2"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_11.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_11.test
new file mode 100644
index 0000000..0310a1e
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_11.test	
@@ -0,0 +1,30 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 11"
+layout: """
+%%%
+% %
+% %
+% %
+% %
+% %
+%.%
+%.%
+% %
+% %
+% %
+% %
+% %
+% %
+% %
+%.%
+% %
+%P%
+% %
+% %
+% %
+% %
+%.%
+%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_12.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_12.solution
new file mode 100644
index 0000000..6f38bcb
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_12.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_12.test.
+solution_length: "3"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_12.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_12.test
new file mode 100644
index 0000000..a17b628
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_12.test	
@@ -0,0 +1,13 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 12"
+layout: """
+%%%%
+% .%
+%  %
+%P %
+%  %
+% .%
+%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_13.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_13.solution
new file mode 100644
index 0000000..7afa908
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_13.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_13.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_13.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_13.test
new file mode 100644
index 0000000..87c423d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_13.test	
@@ -0,0 +1,12 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 13"
+layout: """
+%%%%%%%%
+%.%....%
+%.% %%.%
+%.%P%%.%
+%...  .%
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_2.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_2.solution
new file mode 100644
index 0000000..16d75de
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_2.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_2.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_2.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_2.test
new file mode 100644
index 0000000..4b59602
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_2.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 2"
+layout: """
+%%%%%%
+%   .%
+%.P..%
+%    %
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_3.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_3.solution
new file mode 100644
index 0000000..cbd5974
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_3.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_3.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_3.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_3.test
new file mode 100644
index 0000000..aa2a3af
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_3.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 3"
+layout: """
+%%%%%%%
+%    .%
+%. P..%
+%     %
+%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_4.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_4.solution
new file mode 100644
index 0000000..ca520b5
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_4.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_4.test.
+solution_length: "3"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_4.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_4.test
new file mode 100644
index 0000000..8499f6d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_4.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 4"
+layout: """
+%%%%%%
+%   .%
+%   .%
+%P  .%
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_5.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_5.solution
new file mode 100644
index 0000000..5c526a2
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_5.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_5.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_5.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_5.test
new file mode 100644
index 0000000..dfaee3d
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_5.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 5"
+layout: """
+%%%%%%
+% %. %
+% %%.%
+%P. .%
+%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_6.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_6.solution
new file mode 100644
index 0000000..b06468a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_6.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_6.test.
+solution_length: "2"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_6.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_6.test
new file mode 100644
index 0000000..bc50c57
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_6.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 6"
+layout: """
+%%%%%%%%
+%      %
+%.  P .%
+%      %
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_7.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_7.solution
new file mode 100644
index 0000000..3231b28
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_7.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_7.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_7.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_7.test
new file mode 100644
index 0000000..746e89a
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_7.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 7"
+layout: """
+%%%%%%%%
+%      %
+%   P  %
+%.  . .%
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_8.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_8.solution
new file mode 100644
index 0000000..646e621
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_8.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_8.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_8.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_8.test
new file mode 100644
index 0000000..c266ae1
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_8.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 8"
+layout: """
+%%%%%%%%
+%      %
+%    P.%
+%      %
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_9.solution b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_9.solution
new file mode 100644
index 0000000..6c94aa5
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_9.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/closest_dot_9.test.
+solution_length: "1"
diff --git a/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_9.test b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_9.test
new file mode 100644
index 0000000..da078de
--- /dev/null
+++ b/cs188-projects-master/P1 Search/test_cases/q8/closest_dot_9.test	
@@ -0,0 +1,11 @@
+class: "ClosestDotTest"
+
+layoutName: "Test 9"
+layout: """
+%%%%%%%%
+%      %
+%P.   .%
+%      %
+%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P1 Search/textDisplay.py b/cs188-projects-master/P1 Search/textDisplay.py
new file mode 100644
index 0000000..e920ad4
--- /dev/null
+++ b/cs188-projects-master/P1 Search/textDisplay.py	
@@ -0,0 +1,81 @@
+# textDisplay.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import time
+try: 
+    import pacman
+except:
+    pass
+
+DRAW_EVERY = 1
+SLEEP_TIME = 0 # This can be overwritten by __init__
+DISPLAY_MOVES = False
+QUIET = False # Supresses output
+
+class NullGraphics:
+    def initialize(self, state, isBlue = False):
+        pass
+
+    def update(self, state):
+        pass
+
+    def checkNullDisplay(self):
+        return True
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def updateDistributions(self, dist):
+        pass
+
+    def finish(self):
+        pass
+
+class PacmanGraphics:
+    def __init__(self, speed=None):
+        if speed != None:
+            global SLEEP_TIME
+            SLEEP_TIME = speed
+
+    def initialize(self, state, isBlue = False):
+        self.draw(state)
+        self.pause()
+        self.turn = 0
+        self.agentCounter = 0
+
+    def update(self, state):
+        numAgents = len(state.agentStates)
+        self.agentCounter = (self.agentCounter + 1) % numAgents
+        if self.agentCounter == 0:
+            self.turn += 1
+            if DISPLAY_MOVES:
+                ghosts = [pacman.nearestPoint(state.getGhostPosition(i)) for i in range(1, numAgents)]
+                print "%4d) P: %-8s" % (self.turn, str(pacman.nearestPoint(state.getPacmanPosition()))),'| Score: %-5d' % state.score,'| Ghosts:', ghosts
+            if self.turn % DRAW_EVERY == 0:
+                self.draw(state)
+                self.pause()
+        if state._win or state._lose:
+            self.draw(state)
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def finish(self):
+        pass
diff --git a/cs188-projects-master/P1 Search/textDisplay.pyc b/cs188-projects-master/P1 Search/textDisplay.pyc
new file mode 100644
index 0000000..ef319e5
Binary files /dev/null and b/cs188-projects-master/P1 Search/textDisplay.pyc differ
diff --git a/cs188-projects-master/P1 Search/util.py b/cs188-projects-master/P1 Search/util.py
new file mode 100644
index 0000000..5b066ed
--- /dev/null
+++ b/cs188-projects-master/P1 Search/util.py	
@@ -0,0 +1,674 @@
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import inspect
+import heapq, random
+import cStringIO
+
+
+class FixedRandom:
+    def __init__(self):
+        fixedState = (3, (2147483648L, 507801126L, 683453281L, 310439348L, 2597246090L, \
+            2209084787L, 2267831527L, 979920060L, 3098657677L, 37650879L, 807947081L, 3974896263L, \
+            881243242L, 3100634921L, 1334775171L, 3965168385L, 746264660L, 4074750168L, 500078808L, \
+            776561771L, 702988163L, 1636311725L, 2559226045L, 157578202L, 2498342920L, 2794591496L, \
+            4130598723L, 496985844L, 2944563015L, 3731321600L, 3514814613L, 3362575829L, 3038768745L, \
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+            3875025632L, 2466137587L, 1235845595L, 4214575620L, 3792516855L, 657994358L, 1241843248L, \
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+            413696855L, 3865185632L, 1704163171L, 3043634452L, 2225424707L, 2199018022L, 3506117517L, \
+            3311559776L, 3374443561L, 1207829628L, 668793165L, 1822020716L, 2082656160L, 1160606415L, \
+            3034757648L, 741703672L, 3094328738L, 459332691L, 2702383376L, 1610239915L, 4162939394L, \
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+            3081403782L, 2599256854L, 3184475235L, 3373055826L, 695186388L, 2423332338L, 222864327L, \
+            1258227992L, 3627871647L, 3487724980L, 4027953808L, 3053320360L, 533627073L, 3026232514L, \
+            2340271949L, 867277230L, 868513116L, 2158535651L, 2487822909L, 3428235761L, 3067196046L, \
+            3435119657L, 1908441839L, 788668797L, 3367703138L, 3317763187L, 908264443L, 2252100381L, \
+            764223334L, 4127108988L, 384641349L, 3377374722L, 1263833251L, 1958694944L, 3847832657L, \
+            1253909612L, 1096494446L, 555725445L, 2277045895L, 3340096504L, 1383318686L, 4234428127L, \
+            1072582179L, 94169494L, 1064509968L, 2681151917L, 2681864920L, 734708852L, 1338914021L, \
+            1270409500L, 1789469116L, 4191988204L, 1716329784L, 2213764829L, 3712538840L, 919910444L, \
+            1318414447L, 3383806712L, 3054941722L, 3378649942L, 1205735655L, 1268136494L, 2214009444L, \
+            2532395133L, 3232230447L, 230294038L, 342599089L, 772808141L, 4096882234L, 3146662953L, \
+            2784264306L, 1860954704L, 2675279609L, 2984212876L, 2466966981L, 2627986059L, 2985545332L, \
+            2578042598L, 1458940786L, 2944243755L, 3959506256L, 1509151382L, 325761900L, 942251521L, \
+            4184289782L, 2756231555L, 3297811774L, 1169708099L, 3280524138L, 3805245319L, 3227360276L, \
+            3199632491L, 2235795585L, 2865407118L, 36763651L, 2441503575L, 3314890374L, 1755526087L, \
+            17915536L, 1196948233L, 949343045L, 3815841867L, 489007833L, 2654997597L, 2834744136L, \
+            417688687L, 2843220846L, 85621843L, 747339336L, 2043645709L, 3520444394L, 1825470818L, \
+            647778910L, 275904777L, 1249389189L, 3640887431L, 4200779599L, 323384601L, 3446088641L, \
+            4049835786L, 1718989062L, 3563787136L, 44099190L, 3281263107L, 22910812L, 1826109246L, \
+            745118154L, 3392171319L, 1571490704L, 354891067L, 815955642L, 1453450421L, 940015623L, \
+            796817754L, 1260148619L, 3898237757L, 176670141L, 1870249326L, 3317738680L, 448918002L, \
+            4059166594L, 2003827551L, 987091377L, 224855998L, 3520570137L, 789522610L, 2604445123L, \
+            454472869L, 475688926L, 2990723466L, 523362238L, 3897608102L, 806637149L, 2642229586L, \
+            2928614432L, 1564415411L, 1691381054L, 3816907227L, 4082581003L, 1895544448L, 3728217394L, \
+            3214813157L, 4054301607L, 1882632454L, 2873728645L, 3694943071L, 1297991732L, 2101682438L, \
+            3952579552L, 678650400L, 1391722293L, 478833748L, 2976468591L, 158586606L, 2576499787L, \
+            662690848L, 3799889765L, 3328894692L, 2474578497L, 2383901391L, 1718193504L, 3003184595L, \
+            3630561213L, 1929441113L, 3848238627L, 1594310094L, 3040359840L, 3051803867L, 2462788790L, \
+            954409915L, 802581771L, 681703307L, 545982392L, 2738993819L, 8025358L, 2827719383L, \
+            770471093L, 3484895980L, 3111306320L, 3900000891L, 2116916652L, 397746721L, 2087689510L, \
+            721433935L, 1396088885L, 2751612384L, 1998988613L, 2135074843L, 2521131298L, 707009172L, \
+            2398321482L, 688041159L, 2264560137L, 482388305L, 207864885L, 3735036991L, 3490348331L, \
+            1963642811L, 3260224305L, 3493564223L, 1939428454L, 1128799656L, 1366012432L, 2858822447L, \
+            1428147157L, 2261125391L, 1611208390L, 1134826333L, 2374102525L, 3833625209L, 2266397263L, \
+            3189115077L, 770080230L, 2674657172L, 4280146640L, 3604531615L, 4235071805L, 3436987249L, \
+            509704467L, 2582695198L, 4256268040L, 3391197562L, 1460642842L, 1617931012L, 457825497L, \
+            1031452907L, 1330422862L, 4125947620L, 2280712485L, 431892090L, 2387410588L, 2061126784L, \
+            896457479L, 3480499461L, 2488196663L, 4021103792L, 1877063114L, 2744470201L, 1046140599L, \
+            2129952955L, 3583049218L, 4217723693L, 2720341743L, 820661843L, 1079873609L, 3360954200L, \
+            3652304997L, 3335838575L, 2178810636L, 1908053374L, 4026721976L, 1793145418L, 476541615L, \
+            973420250L, 515553040L, 919292001L, 2601786155L, 1685119450L, 3030170809L, 1590676150L, \
+            1665099167L, 651151584L, 2077190587L, 957892642L, 646336572L, 2743719258L, 866169074L, \
+            851118829L, 4225766285L, 963748226L, 799549420L, 1955032629L, 799460000L, 2425744063L, \
+            2441291571L, 1928963772L, 528930629L, 2591962884L, 3495142819L, 1896021824L, 901320159L, \
+            3181820243L, 843061941L, 3338628510L, 3782438992L, 9515330L, 1705797226L, 953535929L, \
+            764833876L, 3202464965L, 2970244591L, 519154982L, 3390617541L, 566616744L, 3438031503L, \
+            1853838297L, 170608755L, 1393728434L, 676900116L, 3184965776L, 1843100290L, 78995357L, \
+            2227939888L, 3460264600L, 1745705055L, 1474086965L, 572796246L, 4081303004L, 882828851L, \
+            1295445825L, 137639900L, 3304579600L, 2722437017L, 4093422709L, 273203373L, 2666507854L, \
+            3998836510L, 493829981L, 1623949669L, 3482036755L, 3390023939L, 833233937L, 1639668730L, \
+            1499455075L, 249728260L, 1210694006L, 3836497489L, 1551488720L, 3253074267L, 3388238003L, \
+            2372035079L, 3945715164L, 2029501215L, 3362012634L, 2007375355L, 4074709820L, 631485888L, \
+            3135015769L, 4273087084L, 3648076204L, 2739943601L, 1374020358L, 1760722448L, 3773939706L, \
+            1313027823L, 1895251226L, 4224465911L, 421382535L, 1141067370L, 3660034846L, 3393185650L, \
+            1850995280L, 1451917312L, 3841455409L, 3926840308L, 1397397252L, 2572864479L, 2500171350L, \
+            3119920613L, 531400869L, 1626487579L, 1099320497L, 407414753L, 2438623324L, 99073255L, \
+            3175491512L, 656431560L, 1153671785L, 236307875L, 2824738046L, 2320621382L, 892174056L, \
+            230984053L, 719791226L, 2718891946L, 624L), None)
+        self.random = random.Random()
+        self.random.setstate(fixedState)
+
+"""
+ Data structures useful for implementing SearchAgents
+"""
+
+class Stack:
+    "A container with a last-in-first-out (LIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Push 'item' onto the stack"
+        self.list.append(item)
+
+    def pop(self):
+        "Pop the most recently pushed item from the stack"
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the stack is empty"
+        return len(self.list) == 0
+
+class Queue:
+    "A container with a first-in-first-out (FIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Enqueue the 'item' into the queue"
+        self.list.insert(0,item)
+
+    def pop(self):
+        """
+          Dequeue the earliest enqueued item still in the queue. This
+          operation removes the item from the queue.
+        """
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the queue is empty"
+        return len(self.list) == 0
+
+class PriorityQueue:
+    """
+      Implements a priority queue data structure. Each inserted item
+      has a priority associated with it and the client is usually interested
+      in quick retrieval of the lowest-priority item in the queue. This
+      data structure allows O(1) access to the lowest-priority item.
+    """
+    def  __init__(self):
+        self.heap = []
+        self.count = 0
+
+    def push(self, item, priority):
+        entry = (priority, self.count, item)
+        heapq.heappush(self.heap, entry)
+        self.count += 1
+
+    def pop(self):
+        (_, _, item) = heapq.heappop(self.heap)
+        return item
+
+    def isEmpty(self):
+        return len(self.heap) == 0
+
+    def update(self, item, priority):
+        # If item already in priority queue with higher priority, update its priority and rebuild the heap.
+        # If item already in priority queue with equal or lower priority, do nothing.
+        # If item not in priority queue, do the same thing as self.push.
+        for index, (p, c, i) in enumerate(self.heap):
+            if i == item:
+                if p <= priority:
+                    break
+                del self.heap[index]
+                self.heap.append((priority, c, item))
+                heapq.heapify(self.heap)
+                break
+        else:
+            self.push(item, priority)
+
+class PriorityQueueWithFunction(PriorityQueue):
+    """
+    Implements a priority queue with the same push/pop signature of the
+    Queue and the Stack classes. This is designed for drop-in replacement for
+    those two classes. The caller has to provide a priority function, which
+    extracts each item's priority.
+    """
+    def  __init__(self, priorityFunction):
+        "priorityFunction (item) -> priority"
+        self.priorityFunction = priorityFunction      # store the priority function
+        PriorityQueue.__init__(self)        # super-class initializer
+
+    def push(self, item):
+        "Adds an item to the queue with priority from the priority function"
+        PriorityQueue.push(self, item, self.priorityFunction(item))
+
+
+def manhattanDistance( xy1, xy2 ):
+    "Returns the Manhattan distance between points xy1 and xy2"
+    return abs( xy1[0] - xy2[0] ) + abs( xy1[1] - xy2[1] )
+
+"""
+  Data structures and functions useful for various course projects
+
+  The search project should not need anything below this line.
+"""
+
+class Counter(dict):
+    """
+    A counter keeps track of counts for a set of keys.
+
+    The counter class is an extension of the standard python
+    dictionary type.  It is specialized to have number values
+    (integers or floats), and includes a handful of additional
+    functions to ease the task of counting data.  In particular,
+    all keys are defaulted to have value 0.  Using a dictionary:
+
+    a = {}
+    print a['test']
+
+    would give an error, while the Counter class analogue:
+
+    >>> a = Counter()
+    >>> print a['test']
+    0
+
+    returns the default 0 value. Note that to reference a key
+    that you know is contained in the counter,
+    you can still use the dictionary syntax:
+
+    >>> a = Counter()
+    >>> a['test'] = 2
+    >>> print a['test']
+    2
+
+    This is very useful for counting things without initializing their counts,
+    see for example:
+
+    >>> a['blah'] += 1
+    >>> print a['blah']
+    1
+
+    The counter also includes additional functionality useful in implementing
+    the classifiers for this assignment.  Two counters can be added,
+    subtracted or multiplied together.  See below for details.  They can
+    also be normalized and their total count and arg max can be extracted.
+    """
+    def __getitem__(self, idx):
+        self.setdefault(idx, 0)
+        return dict.__getitem__(self, idx)
+
+    def incrementAll(self, keys, count):
+        """
+        Increments all elements of keys by the same count.
+
+        >>> a = Counter()
+        >>> a.incrementAll(['one','two', 'three'], 1)
+        >>> a['one']
+        1
+        >>> a['two']
+        1
+        """
+        for key in keys:
+            self[key] += count
+
+    def argMax(self):
+        """
+        Returns the key with the highest value.
+        """
+        if len(self.keys()) == 0: return None
+        all = self.items()
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def sortedKeys(self):
+        """
+        Returns a list of keys sorted by their values.  Keys
+        with the highest values will appear first.
+
+        >>> a = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> a['third'] = 1
+        >>> a.sortedKeys()
+        ['second', 'third', 'first']
+        """
+        sortedItems = self.items()
+        compare = lambda x, y:  sign(y[1] - x[1])
+        sortedItems.sort(cmp=compare)
+        return [x[0] for x in sortedItems]
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
+
+    def normalize(self):
+        """
+        Edits the counter such that the total count of all
+        keys sums to 1.  The ratio of counts for all keys
+        will remain the same. Note that normalizing an empty
+        Counter will result in an error.
+        """
+        total = float(self.totalCount())
+        if total == 0: return
+        for key in self.keys():
+            self[key] = self[key] / total
+
+    def divideAll(self, divisor):
+        """
+        Divides all counts by divisor
+        """
+        divisor = float(divisor)
+        for key in self:
+            self[key] /= divisor
+
+    def copy(self):
+        """
+        Returns a copy of the counter
+        """
+        return Counter(dict.copy(self))
+
+    def __mul__(self, y ):
+        """
+        Multiplying two counters gives the dot product of their vectors where
+        each unique label is a vector element.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['second'] = 5
+        >>> a['third'] = 1.5
+        >>> a['fourth'] = 2.5
+        >>> a * b
+        14
+        """
+        sum = 0
+        x = self
+        if len(x) > len(y):
+            x,y = y,x
+        for key in x:
+            if key not in y:
+                continue
+            sum += x[key] * y[key]
+        return sum
+
+    def __radd__(self, y):
+        """
+        Adding another counter to a counter increments the current counter
+        by the values stored in the second counter.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> a += b
+        >>> a['first']
+        1
+        """
+        for key, value in y.items():
+            self[key] += value
+
+    def __add__( self, y ):
+        """
+        Adding two counters gives a counter with the union of all keys and
+        counts of the second added to counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a + b)['first']
+        1
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] + y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = y[key]
+        return addend
+
+    def __sub__( self, y ):
+        """
+        Subtracting a counter from another gives a counter with the union of all keys and
+        counts of the second subtracted from counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a - b)['first']
+        -5
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] - y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = -1 * y[key]
+        return addend
+
+def raiseNotDefined():
+    fileName = inspect.stack()[1][1]
+    line = inspect.stack()[1][2]
+    method = inspect.stack()[1][3]
+
+    print "*** Method not implemented: %s at line %s of %s" % (method, line, fileName)
+    sys.exit(1)
+
+def normalize(vectorOrCounter):
+    """
+    normalize a vector or counter by dividing each value by the sum of all values
+    """
+    normalizedCounter = Counter()
+    if type(vectorOrCounter) == type(normalizedCounter):
+        counter = vectorOrCounter
+        total = float(counter.totalCount())
+        if total == 0: return counter
+        for key in counter.keys():
+            value = counter[key]
+            normalizedCounter[key] = value / total
+        return normalizedCounter
+    else:
+        vector = vectorOrCounter
+        s = float(sum(vector))
+        if s == 0: return vector
+        return [el / s for el in vector]
+
+def nSample(distribution, values, n):
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    rand = [random.random() for i in range(n)]
+    rand.sort()
+    samples = []
+    samplePos, distPos, cdf = 0,0, distribution[0]
+    while samplePos < n:
+        if rand[samplePos] < cdf:
+            samplePos += 1
+            samples.append(values[distPos])
+        else:
+            distPos += 1
+            cdf += distribution[distPos]
+    return samples
+
+def sample(distribution, values = None):
+    if type(distribution) == Counter:
+        items = sorted(distribution.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    choice = random.random()
+    i, total= 0, distribution[0]
+    while choice > total:
+        i += 1
+        total += distribution[i]
+    return values[i]
+
+def sampleFromCounter(ctr):
+    items = sorted(ctr.items())
+    return sample([v for k,v in items], [k for k,v in items])
+
+def getProbability(value, distribution, values):
+    """
+      Gives the probability of a value under a discrete distribution
+      defined by (distributions, values).
+    """
+    total = 0.0
+    for prob, val in zip(distribution, values):
+        if val == value:
+            total += prob
+    return total
+
+def flipCoin( p ):
+    r = random.random()
+    return r < p
+
+def chooseFromDistribution( distribution ):
+    "Takes either a counter or a list of (prob, key) pairs and samples"
+    if type(distribution) == dict or type(distribution) == Counter:
+        return sample(distribution)
+    r = random.random()
+    base = 0.0
+    for prob, element in distribution:
+        base += prob
+        if r <= base: return element
+
+def nearestPoint( pos ):
+    """
+    Finds the nearest grid point to a position (discretizes).
+    """
+    ( current_row, current_col ) = pos
+
+    grid_row = int( current_row + 0.5 )
+    grid_col = int( current_col + 0.5 )
+    return ( grid_row, grid_col )
+
+def sign( x ):
+    """
+    Returns 1 or -1 depending on the sign of x
+    """
+    if( x >= 0 ):
+        return 1
+    else:
+        return -1
+
+def arrayInvert(array):
+    """
+    Inverts a matrix stored as a list of lists.
+    """
+    result = [[] for i in array]
+    for outer in array:
+        for inner in range(len(outer)):
+            result[inner].append(outer[inner])
+    return result
+
+def matrixAsList( matrix, value = True ):
+    """
+    Turns a matrix into a list of coordinates matching the specified value
+    """
+    rows, cols = len( matrix ), len( matrix[0] )
+    cells = []
+    for row in range( rows ):
+        for col in range( cols ):
+            if matrix[row][col] == value:
+                cells.append( ( row, col ) )
+    return cells
+
+def lookup(name, namespace):
+    """
+    Get a method or class from any imported module from its name.
+    Usage: lookup(functionName, globals())
+    """
+    dots = name.count('.')
+    if dots > 0:
+        moduleName, objName = '.'.join(name.split('.')[:-1]), name.split('.')[-1]
+        module = __import__(moduleName)
+        return getattr(module, objName)
+    else:
+        modules = [obj for obj in namespace.values() if str(type(obj)) == ""]
+        options = [getattr(module, name) for module in modules if name in dir(module)]
+        options += [obj[1] for obj in namespace.items() if obj[0] == name ]
+        if len(options) == 1: return options[0]
+        if len(options) > 1: raise Exception, 'Name conflict for %s'
+        raise Exception, '%s not found as a method or class' % name
+
+def pause():
+    """
+    Pauses the output stream awaiting user feedback.
+    """
+    print ""
+    raw_input()
+
+
+# code to handle timeouts
+#
+# FIXME
+# NOTE: TimeoutFuncton is NOT reentrant.  Later timeouts will silently
+# disable earlier timeouts.  Could be solved by maintaining a global list
+# of active time outs.  Currently, questions which have test cases calling
+# this have all student code so wrapped.
+#
+import signal
+import time
+class TimeoutFunctionException(Exception):
+    """Exception to raise on a timeout"""
+    pass
+
+
+class TimeoutFunction:
+    def __init__(self, function, timeout):
+        self.timeout = timeout
+        self.function = function
+
+    def handle_timeout(self, signum, frame):
+        raise TimeoutFunctionException()
+
+    def __call__(self, *args, **keyArgs):
+        # If we have SIGALRM signal, use it to cause an exception if and
+        # when this function runs too long.  Otherwise check the time taken
+        # after the method has returned, and throw an exception then.
+        if hasattr(signal, 'SIGALRM'):
+            old = signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.alarm(self.timeout)
+            try:
+                result = self.function(*args, **keyArgs)
+            finally:
+                signal.signal(signal.SIGALRM, old)
+            signal.alarm(0)
+        else:
+            startTime = time.time()
+            result = self.function(*args, **keyArgs)
+            timeElapsed = time.time() - startTime
+            if timeElapsed >= self.timeout:
+                self.handle_timeout(None, None)
+        return result
+
+
+
+_ORIGINAL_STDOUT = None
+_ORIGINAL_STDERR = None
+_MUTED = False
+
+class WritableNull:
+    def write(self, string):
+        pass
+
+def mutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if _MUTED:
+        return
+    _MUTED = True
+
+    _ORIGINAL_STDOUT = sys.stdout
+    #_ORIGINAL_STDERR = sys.stderr
+    sys.stdout = WritableNull()
+    #sys.stderr = WritableNull()
+
+def unmutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if not _MUTED:
+        return
+    _MUTED = False
+
+    sys.stdout = _ORIGINAL_STDOUT
+    #sys.stderr = _ORIGINAL_STDERR
+
diff --git a/cs188-projects-master/P1 Search/util.pyc b/cs188-projects-master/P1 Search/util.pyc
new file mode 100644
index 0000000..84a7c81
Binary files /dev/null and b/cs188-projects-master/P1 Search/util.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/VERSION b/cs188-projects-master/P2 Multi-Agent Search/VERSION
new file mode 100644
index 0000000..15a3c19
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/VERSION	
@@ -0,0 +1 @@
+v1.004
diff --git a/cs188-projects-master/P2 Multi-Agent Search/autograder.py b/cs188-projects-master/P2 Multi-Agent Search/autograder.py
new file mode 100644
index 0000000..4abe64d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/autograder.py	
@@ -0,0 +1,358 @@
+# autograder.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# imports from python standard library
+import grading
+import imp
+import optparse
+import os
+import re
+import sys
+import projectParams
+import random
+random.seed(0)
+try: 
+    from pacman import GameState
+except:
+    pass
+
+# register arguments and set default values
+def readCommand(argv):
+    parser = optparse.OptionParser(description = 'Run public tests on student code')
+    parser.set_defaults(generateSolutions=False, edxOutput=False, gsOutput=False, muteOutput=False, printTestCase=False, noGraphics=False)
+    parser.add_option('--test-directory',
+                      dest = 'testRoot',
+                      default = 'test_cases',
+                      help = 'Root test directory which contains subdirectories corresponding to each question')
+    parser.add_option('--student-code',
+                      dest = 'studentCode',
+                      default = projectParams.STUDENT_CODE_DEFAULT,
+                      help = 'comma separated list of student code files')
+    parser.add_option('--code-directory',
+                    dest = 'codeRoot',
+                    default = "",
+                    help = 'Root directory containing the student and testClass code')
+    parser.add_option('--test-case-code',
+                      dest = 'testCaseCode',
+                      default = projectParams.PROJECT_TEST_CLASSES,
+                      help = 'class containing testClass classes for this project')
+    parser.add_option('--generate-solutions',
+                      dest = 'generateSolutions',
+                      action = 'store_true',
+                      help = 'Write solutions generated to .solution file')
+    parser.add_option('--edx-output',
+                    dest = 'edxOutput',
+                    action = 'store_true',
+                    help = 'Generate edX output files')
+    parser.add_option('--gradescope-output',
+                    dest = 'gsOutput',
+                    action = 'store_true',
+                    help = 'Generate GradeScope output files')
+    parser.add_option('--mute',
+                    dest = 'muteOutput',
+                    action = 'store_true',
+                    help = 'Mute output from executing tests')
+    parser.add_option('--print-tests', '-p',
+                    dest = 'printTestCase',
+                    action = 'store_true',
+                    help = 'Print each test case before running them.')
+    parser.add_option('--test', '-t',
+                      dest = 'runTest',
+                      default = None,
+                      help = 'Run one particular test.  Relative to test root.')
+    parser.add_option('--question', '-q',
+                    dest = 'gradeQuestion',
+                    default = None,
+                    help = 'Grade one particular question.')
+    parser.add_option('--no-graphics',
+                    dest = 'noGraphics',
+                    action = 'store_true',
+                    help = 'No graphics display for pacman games.')
+    (options, args) = parser.parse_args(argv)
+    return options
+
+
+# confirm we should author solution files
+def confirmGenerate():
+    print 'WARNING: this action will overwrite any solution files.'
+    print 'Are you sure you want to proceed? (yes/no)'
+    while True:
+        ans = sys.stdin.readline().strip()
+        if ans == 'yes':
+            break
+        elif ans == 'no':
+            sys.exit(0)
+        else:
+            print 'please answer either "yes" or "no"'
+
+
+# TODO: Fix this so that it tracebacks work correctly
+# Looking at source of the traceback module, presuming it works
+# the same as the intepreters, it uses co_filename.  This is,
+# however, a readonly attribute.
+def setModuleName(module, filename):
+    functionType = type(confirmGenerate)
+    classType = type(optparse.Option)
+
+    for i in dir(module):
+        o = getattr(module, i)
+        if hasattr(o, '__file__'): continue
+
+        if type(o) == functionType:
+            setattr(o, '__file__', filename)
+        elif type(o) == classType:
+            setattr(o, '__file__', filename)
+            # TODO: assign member __file__'s?
+        #print i, type(o)
+
+
+#from cStringIO import StringIO
+
+def loadModuleString(moduleSource):
+    # Below broken, imp doesn't believe its being passed a file:
+    #    ValueError: load_module arg#2 should be a file or None
+    #
+    #f = StringIO(moduleCodeDict[k])
+    #tmp = imp.load_module(k, f, k, (".py", "r", imp.PY_SOURCE))
+    tmp = imp.new_module(k)
+    exec moduleCodeDict[k] in tmp.__dict__
+    setModuleName(tmp, k)
+    return tmp
+
+import py_compile
+
+def loadModuleFile(moduleName, filePath):
+    with open(filePath, 'r') as f:
+        return imp.load_module(moduleName, f, "%s.py" % moduleName, (".py", "r", imp.PY_SOURCE))
+
+
+def readFile(path, root=""):
+    "Read file from disk at specified path and return as string"
+    with open(os.path.join(root, path), 'r') as handle:
+        return handle.read()
+
+
+#######################################################################
+# Error Hint Map
+#######################################################################
+
+# TODO: use these
+ERROR_HINT_MAP = {
+  'q1': {
+    "": """
+      We noticed that your project threw an IndexError on q1.
+      While many things may cause this, it may have been from
+      assuming a certain number of successors from a state space
+      or assuming a certain number of actions available from a given
+      state. Try making your code more general (no hardcoded indices)
+      and submit again!
+    """
+  },
+  'q3': {
+      "": """
+        We noticed that your project threw an AttributeError on q3.
+        While many things may cause this, it may have been from assuming
+        a certain size or structure to the state space. For example, if you have
+        a line of code assuming that the state is (x, y) and we run your code
+        on a state space with (x, y, z), this error could be thrown. Try
+        making your code more general and submit again!
+
+    """
+  }
+}
+
+import pprint
+
+def splitStrings(d):
+    d2 = dict(d)
+    for k in d:
+        if k[0:2] == "__":
+            del d2[k]
+            continue
+        if d2[k].find("\n") >= 0:
+            d2[k] = d2[k].split("\n")
+    return d2
+
+
+def printTest(testDict, solutionDict):
+    pp = pprint.PrettyPrinter(indent=4)
+    print "Test case:"
+    for line in testDict["__raw_lines__"]:
+        print "   |", line
+    print "Solution:"
+    for line in solutionDict["__raw_lines__"]:
+        print "   |", line
+
+
+def runTest(testName, moduleDict, printTestCase=False, display=None):
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    testDict = testParser.TestParser(testName + ".test").parse()
+    solutionDict = testParser.TestParser(testName + ".solution").parse()
+    test_out_file = os.path.join('%s.test_output' % testName)
+    testDict['test_out_file'] = test_out_file
+    testClass = getattr(projectTestClasses, testDict['class'])
+
+    questionClass = getattr(testClasses, 'Question')
+    question = questionClass({'max_points': 0}, display)
+    testCase = testClass(question, testDict)
+
+    if printTestCase:
+        printTest(testDict, solutionDict)
+
+    # This is a fragile hack to create a stub grades object
+    grades = grading.Grades(projectParams.PROJECT_NAME, [(None,0)])
+    testCase.execute(grades, moduleDict, solutionDict)
+
+
+# returns all the tests you need to run in order to run question
+def getDepends(testParser, testRoot, question):
+    allDeps = [question]
+    questionDict = testParser.TestParser(os.path.join(testRoot, question, 'CONFIG')).parse()
+    if 'depends' in questionDict:
+        depends = questionDict['depends'].split()
+        for d in depends:
+            # run dependencies first
+            allDeps = getDepends(testParser, testRoot, d) + allDeps
+    return allDeps
+
+# get list of questions to grade
+def getTestSubdirs(testParser, testRoot, questionToGrade):
+    problemDict = testParser.TestParser(os.path.join(testRoot, 'CONFIG')).parse()
+    if questionToGrade != None:
+        questions = getDepends(testParser, testRoot, questionToGrade)
+        if len(questions) > 1:
+            print 'Note: due to dependencies, the following tests will be run: %s' % ' '.join(questions)
+        return questions
+    if 'order' in problemDict:
+        return problemDict['order'].split()
+    return sorted(os.listdir(testRoot))
+
+
+# evaluate student code
+def evaluate(generateSolutions, testRoot, moduleDict, exceptionMap=ERROR_HINT_MAP,
+             edxOutput=False, muteOutput=False, gsOutput=False,
+            printTestCase=False, questionToGrade=None, display=None):
+    # imports of testbench code.  note that the testClasses import must follow
+    # the import of student code due to dependencies
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    questions = []
+    questionDicts = {}
+    test_subdirs = getTestSubdirs(testParser, testRoot, questionToGrade)
+    for q in test_subdirs:
+        subdir_path = os.path.join(testRoot, q)
+        if not os.path.isdir(subdir_path) or q[0] == '.':
+            continue
+
+        # create a question object
+        questionDict = testParser.TestParser(os.path.join(subdir_path, 'CONFIG')).parse()
+        questionClass = getattr(testClasses, questionDict['class'])
+        question = questionClass(questionDict, display)
+        questionDicts[q] = questionDict
+
+        # load test cases into question
+        tests = filter(lambda t: re.match('[^#~.].*\.test\Z', t), os.listdir(subdir_path))
+        tests = map(lambda t: re.match('(.*)\.test\Z', t).group(1), tests)
+        for t in sorted(tests):
+            test_file = os.path.join(subdir_path, '%s.test' % t)
+            solution_file = os.path.join(subdir_path, '%s.solution' % t)
+            test_out_file = os.path.join(subdir_path, '%s.test_output' % t)
+            testDict = testParser.TestParser(test_file).parse()
+            if testDict.get("disabled", "false").lower() == "true":
+                continue
+            testDict['test_out_file'] = test_out_file
+            testClass = getattr(projectTestClasses, testDict['class'])
+            testCase = testClass(question, testDict)
+            def makefun(testCase, solution_file):
+                if generateSolutions:
+                    # write solution file to disk
+                    return lambda grades: testCase.writeSolution(moduleDict, solution_file)
+                else:
+                    # read in solution dictionary and pass as an argument
+                    testDict = testParser.TestParser(test_file).parse()
+                    solutionDict = testParser.TestParser(solution_file).parse()
+                    if printTestCase:
+                        return lambda grades: printTest(testDict, solutionDict) or testCase.execute(grades, moduleDict, solutionDict)
+                    else:
+                        return lambda grades: testCase.execute(grades, moduleDict, solutionDict)
+            question.addTestCase(testCase, makefun(testCase, solution_file))
+
+        # Note extra function is necessary for scoping reasons
+        def makefun(question):
+            return lambda grades: question.execute(grades)
+        setattr(sys.modules[__name__], q, makefun(question))
+        questions.append((q, question.getMaxPoints()))
+
+    grades = grading.Grades(projectParams.PROJECT_NAME, questions,
+                            gsOutput=gsOutput, edxOutput=edxOutput, muteOutput=muteOutput)
+    if questionToGrade == None:
+        for q in questionDicts:
+            for prereq in questionDicts[q].get('depends', '').split():
+                grades.addPrereq(q, prereq)
+
+    grades.grade(sys.modules[__name__], bonusPic = projectParams.BONUS_PIC)
+    return grades.points
+
+
+
+def getDisplay(graphicsByDefault, options=None):
+    graphics = graphicsByDefault
+    if options is not None and options.noGraphics:
+        graphics = False
+    if graphics:
+        try:
+            import graphicsDisplay
+            return graphicsDisplay.PacmanGraphics(1, frameTime=.05)
+        except ImportError:
+            pass
+    import textDisplay
+    return textDisplay.NullGraphics()
+
+
+
+
+if __name__ == '__main__':
+    options = readCommand(sys.argv)
+    if options.generateSolutions:
+        confirmGenerate()
+    codePaths = options.studentCode.split(',')
+    # moduleCodeDict = {}
+    # for cp in codePaths:
+    #     moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+    #     moduleCodeDict[moduleName] = readFile(cp, root=options.codeRoot)
+    # moduleCodeDict['projectTestClasses'] = readFile(options.testCaseCode, root=options.codeRoot)
+    # moduleDict = loadModuleDict(moduleCodeDict)
+
+    moduleDict = {}
+    for cp in codePaths:
+        moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+        moduleDict[moduleName] = loadModuleFile(moduleName, os.path.join(options.codeRoot, cp))
+    moduleName = re.match('.*?([^/]*)\.py', options.testCaseCode).group(1)
+    moduleDict['projectTestClasses'] = loadModuleFile(moduleName, os.path.join(options.codeRoot, options.testCaseCode))
+
+
+    if options.runTest != None:
+        runTest(options.runTest, moduleDict, printTestCase=options.printTestCase, display=getDisplay(True, options))
+    else:
+        evaluate(options.generateSolutions, options.testRoot, moduleDict,
+            gsOutput=options.gsOutput,
+            edxOutput=options.edxOutput, muteOutput=options.muteOutput, printTestCase=options.printTestCase,
+            questionToGrade=options.gradeQuestion, display=getDisplay(options.gradeQuestion!=None, options))
diff --git a/cs188-projects-master/P2 Multi-Agent Search/autograder.pyc b/cs188-projects-master/P2 Multi-Agent Search/autograder.pyc
new file mode 100644
index 0000000..fe616f8
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/autograder.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/game.py b/cs188-projects-master/P2 Multi-Agent Search/game.py
new file mode 100644
index 0000000..e34d6cf
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/game.py	
@@ -0,0 +1,729 @@
+# game.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# game.py
+# -------
+# Licensing Information: Please do not distribute or publish solutions to this
+# project. You are free to use and extend these projects for educational
+# purposes. The Pacman AI projects were developed at UC Berkeley, primarily by
+# John DeNero (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# For more info, see http://inst.eecs.berkeley.edu/~cs188/sp09/pacman.html
+
+from util import *
+import time, os
+import traceback
+import sys
+
+#######################
+# Parts worth reading #
+#######################
+
+class Agent:
+    """
+    An agent must define a getAction method, but may also define the
+    following methods which will be called if they exist:
+
+    def registerInitialState(self, state): # inspects the starting state
+    """
+    def __init__(self, index=0):
+        self.index = index
+
+    def getAction(self, state):
+        """
+        The Agent will receive a GameState (from either {pacman, capture, sonar}.py) and
+        must return an action from Directions.{North, South, East, West, Stop}
+        """
+        raiseNotDefined()
+
+class Directions:
+    NORTH = 'North'
+    SOUTH = 'South'
+    EAST = 'East'
+    WEST = 'West'
+    STOP = 'Stop'
+
+    LEFT =       {NORTH: WEST,
+                   SOUTH: EAST,
+                   EAST:  NORTH,
+                   WEST:  SOUTH,
+                   STOP:  STOP}
+
+    RIGHT =      dict([(y,x) for x, y in LEFT.items()])
+
+    REVERSE = {NORTH: SOUTH,
+               SOUTH: NORTH,
+               EAST: WEST,
+               WEST: EAST,
+               STOP: STOP}
+
+class Configuration:
+    """
+    A Configuration holds the (x,y) coordinate of a character, along with its
+    traveling direction.
+
+    The convention for positions, like a graph, is that (0,0) is the lower left corner, x increases
+    horizontally and y increases vertically.  Therefore, north is the direction of increasing y, or (0,1).
+    """
+
+    def __init__(self, pos, direction):
+        self.pos = pos
+        self.direction = direction
+
+    def getPosition(self):
+        return (self.pos)
+
+    def getDirection(self):
+        return self.direction
+
+    def isInteger(self):
+        x,y = self.pos
+        return x == int(x) and y == int(y)
+
+    def __eq__(self, other):
+        if other == None: return False
+        return (self.pos == other.pos and self.direction == other.direction)
+
+    def __hash__(self):
+        x = hash(self.pos)
+        y = hash(self.direction)
+        return hash(x + 13 * y)
+
+    def __str__(self):
+        return "(x,y)="+str(self.pos)+", "+str(self.direction)
+
+    def generateSuccessor(self, vector):
+        """
+        Generates a new configuration reached by translating the current
+        configuration by the action vector.  This is a low-level call and does
+        not attempt to respect the legality of the movement.
+
+        Actions are movement vectors.
+        """
+        x, y= self.pos
+        dx, dy = vector
+        direction = Actions.vectorToDirection(vector)
+        if direction == Directions.STOP:
+            direction = self.direction # There is no stop direction
+        return Configuration((x + dx, y+dy), direction)
+
+class AgentState:
+    """
+    AgentStates hold the state of an agent (configuration, speed, scared, etc).
+    """
+
+    def __init__( self, startConfiguration, isPacman ):
+        self.start = startConfiguration
+        self.configuration = startConfiguration
+        self.isPacman = isPacman
+        self.scaredTimer = 0
+        self.numCarrying = 0
+        self.numReturned = 0
+
+    def __str__( self ):
+        if self.isPacman:
+            return "Pacman: " + str( self.configuration )
+        else:
+            return "Ghost: " + str( self.configuration )
+
+    def __eq__( self, other ):
+        if other == None:
+            return False
+        return self.configuration == other.configuration and self.scaredTimer == other.scaredTimer
+
+    def __hash__(self):
+        return hash(hash(self.configuration) + 13 * hash(self.scaredTimer))
+
+    def copy( self ):
+        state = AgentState( self.start, self.isPacman )
+        state.configuration = self.configuration
+        state.scaredTimer = self.scaredTimer
+        state.numCarrying = self.numCarrying
+        state.numReturned = self.numReturned
+        return state
+
+    def getPosition(self):
+        if self.configuration == None: return None
+        return self.configuration.getPosition()
+
+    def getDirection(self):
+        return self.configuration.getDirection()
+
+class Grid:
+    """
+    A 2-dimensional array of objects backed by a list of lists.  Data is accessed
+    via grid[x][y] where (x,y) are positions on a Pacman map with x horizontal,
+    y vertical and the origin (0,0) in the bottom left corner.
+
+    The __str__ method constructs an output that is oriented like a pacman board.
+    """
+    def __init__(self, width, height, initialValue=False, bitRepresentation=None):
+        if initialValue not in [False, True]: raise Exception('Grids can only contain booleans')
+        self.CELLS_PER_INT = 30
+
+        self.width = width
+        self.height = height
+        self.data = [[initialValue for y in range(height)] for x in range(width)]
+        if bitRepresentation:
+            self._unpackBits(bitRepresentation)
+
+    def __getitem__(self, i):
+        return self.data[i]
+
+    def __setitem__(self, key, item):
+        self.data[key] = item
+
+    def __str__(self):
+        out = [[str(self.data[x][y])[0] for x in range(self.width)] for y in range(self.height)]
+        out.reverse()
+        return '\n'.join([''.join(x) for x in out])
+
+    def __eq__(self, other):
+        if other == None: return False
+        return self.data == other.data
+
+    def __hash__(self):
+        # return hash(str(self))
+        base = 1
+        h = 0
+        for l in self.data:
+            for i in l:
+                if i:
+                    h += base
+                base *= 2
+        return hash(h)
+
+    def copy(self):
+        g = Grid(self.width, self.height)
+        g.data = [x[:] for x in self.data]
+        return g
+
+    def deepCopy(self):
+        return self.copy()
+
+    def shallowCopy(self):
+        g = Grid(self.width, self.height)
+        g.data = self.data
+        return g
+
+    def count(self, item =True ):
+        return sum([x.count(item) for x in self.data])
+
+    def asList(self, key = True):
+        list = []
+        for x in range(self.width):
+            for y in range(self.height):
+                if self[x][y] == key: list.append( (x,y) )
+        return list
+
+    def packBits(self):
+        """
+        Returns an efficient int list representation
+
+        (width, height, bitPackedInts...)
+        """
+        bits = [self.width, self.height]
+        currentInt = 0
+        for i in range(self.height * self.width):
+            bit = self.CELLS_PER_INT - (i % self.CELLS_PER_INT) - 1
+            x, y = self._cellIndexToPosition(i)
+            if self[x][y]:
+                currentInt += 2 ** bit
+            if (i + 1) % self.CELLS_PER_INT == 0:
+                bits.append(currentInt)
+                currentInt = 0
+        bits.append(currentInt)
+        return tuple(bits)
+
+    def _cellIndexToPosition(self, index):
+        x = index / self.height
+        y = index % self.height
+        return x, y
+
+    def _unpackBits(self, bits):
+        """
+        Fills in data from a bit-level representation
+        """
+        cell = 0
+        for packed in bits:
+            for bit in self._unpackInt(packed, self.CELLS_PER_INT):
+                if cell == self.width * self.height: break
+                x, y = self._cellIndexToPosition(cell)
+                self[x][y] = bit
+                cell += 1
+
+    def _unpackInt(self, packed, size):
+        bools = []
+        if packed < 0: raise ValueError, "must be a positive integer"
+        for i in range(size):
+            n = 2 ** (self.CELLS_PER_INT - i - 1)
+            if packed >= n:
+                bools.append(True)
+                packed -= n
+            else:
+                bools.append(False)
+        return bools
+
+def reconstituteGrid(bitRep):
+    if type(bitRep) is not type((1,2)):
+        return bitRep
+    width, height = bitRep[:2]
+    return Grid(width, height, bitRepresentation= bitRep[2:])
+
+####################################
+# Parts you shouldn't have to read #
+####################################
+
+class Actions:
+    """
+    A collection of static methods for manipulating move actions.
+    """
+    # Directions
+    _directions = {Directions.NORTH: (0, 1),
+                   Directions.SOUTH: (0, -1),
+                   Directions.EAST:  (1, 0),
+                   Directions.WEST:  (-1, 0),
+                   Directions.STOP:  (0, 0)}
+
+    _directionsAsList = _directions.items()
+
+    TOLERANCE = .001
+
+    def reverseDirection(action):
+        if action == Directions.NORTH:
+            return Directions.SOUTH
+        if action == Directions.SOUTH:
+            return Directions.NORTH
+        if action == Directions.EAST:
+            return Directions.WEST
+        if action == Directions.WEST:
+            return Directions.EAST
+        return action
+    reverseDirection = staticmethod(reverseDirection)
+
+    def vectorToDirection(vector):
+        dx, dy = vector
+        if dy > 0:
+            return Directions.NORTH
+        if dy < 0:
+            return Directions.SOUTH
+        if dx < 0:
+            return Directions.WEST
+        if dx > 0:
+            return Directions.EAST
+        return Directions.STOP
+    vectorToDirection = staticmethod(vectorToDirection)
+
+    def directionToVector(direction, speed = 1.0):
+        dx, dy =  Actions._directions[direction]
+        return (dx * speed, dy * speed)
+    directionToVector = staticmethod(directionToVector)
+
+    def getPossibleActions(config, walls):
+        possible = []
+        x, y = config.pos
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+
+        # In between grid points, all agents must continue straight
+        if (abs(x - x_int) + abs(y - y_int)  > Actions.TOLERANCE):
+            return [config.getDirection()]
+
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_y = y_int + dy
+            next_x = x_int + dx
+            if not walls[next_x][next_y]: possible.append(dir)
+
+        return possible
+
+    getPossibleActions = staticmethod(getPossibleActions)
+
+    def getLegalNeighbors(position, walls):
+        x,y = position
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+        neighbors = []
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_x = x_int + dx
+            if next_x < 0 or next_x == walls.width: continue
+            next_y = y_int + dy
+            if next_y < 0 or next_y == walls.height: continue
+            if not walls[next_x][next_y]: neighbors.append((next_x, next_y))
+        return neighbors
+    getLegalNeighbors = staticmethod(getLegalNeighbors)
+
+    def getSuccessor(position, action):
+        dx, dy = Actions.directionToVector(action)
+        x, y = position
+        return (x + dx, y + dy)
+    getSuccessor = staticmethod(getSuccessor)
+
+class GameStateData:
+    """
+
+    """
+    def __init__( self, prevState = None ):
+        """
+        Generates a new data packet by copying information from its predecessor.
+        """
+        if prevState != None:
+            self.food = prevState.food.shallowCopy()
+            self.capsules = prevState.capsules[:]
+            self.agentStates = self.copyAgentStates( prevState.agentStates )
+            self.layout = prevState.layout
+            self._eaten = prevState._eaten
+            self.score = prevState.score
+
+        self._foodEaten = None
+        self._foodAdded = None
+        self._capsuleEaten = None
+        self._agentMoved = None
+        self._lose = False
+        self._win = False
+        self.scoreChange = 0
+
+    def deepCopy( self ):
+        state = GameStateData( self )
+        state.food = self.food.deepCopy()
+        state.layout = self.layout.deepCopy()
+        state._agentMoved = self._agentMoved
+        state._foodEaten = self._foodEaten
+        state._foodAdded = self._foodAdded
+        state._capsuleEaten = self._capsuleEaten
+        return state
+
+    def copyAgentStates( self, agentStates ):
+        copiedStates = []
+        for agentState in agentStates:
+            copiedStates.append( agentState.copy() )
+        return copiedStates
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        if other == None: return False
+        # TODO Check for type of other
+        if not self.agentStates == other.agentStates: return False
+        if not self.food == other.food: return False
+        if not self.capsules == other.capsules: return False
+        if not self.score == other.score: return False
+        return True
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        for i, state in enumerate( self.agentStates ):
+            try:
+                int(hash(state))
+            except TypeError, e:
+                print e
+                #hash(state)
+        return int((hash(tuple(self.agentStates)) + 13*hash(self.food) + 113* hash(tuple(self.capsules)) + 7 * hash(self.score)) % 1048575 )
+
+    def __str__( self ):
+        width, height = self.layout.width, self.layout.height
+        map = Grid(width, height)
+        if type(self.food) == type((1,2)):
+            self.food = reconstituteGrid(self.food)
+        for x in range(width):
+            for y in range(height):
+                food, walls = self.food, self.layout.walls
+                map[x][y] = self._foodWallStr(food[x][y], walls[x][y])
+
+        for agentState in self.agentStates:
+            if agentState == None: continue
+            if agentState.configuration == None: continue
+            x,y = [int( i ) for i in nearestPoint( agentState.configuration.pos )]
+            agent_dir = agentState.configuration.direction
+            if agentState.isPacman:
+                map[x][y] = self._pacStr( agent_dir )
+            else:
+                map[x][y] = self._ghostStr( agent_dir )
+
+        for x, y in self.capsules:
+            map[x][y] = 'o'
+
+        return str(map) + ("\nScore: %d\n" % self.score)
+
+    def _foodWallStr( self, hasFood, hasWall ):
+        if hasFood:
+            return '.'
+        elif hasWall:
+            return '%'
+        else:
+            return ' '
+
+    def _pacStr( self, dir ):
+        if dir == Directions.NORTH:
+            return 'v'
+        if dir == Directions.SOUTH:
+            return '^'
+        if dir == Directions.WEST:
+            return '>'
+        return '<'
+
+    def _ghostStr( self, dir ):
+        return 'G'
+        if dir == Directions.NORTH:
+            return 'M'
+        if dir == Directions.SOUTH:
+            return 'W'
+        if dir == Directions.WEST:
+            return '3'
+        return 'E'
+
+    def initialize( self, layout, numGhostAgents ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.food = layout.food.copy()
+        #self.capsules = []
+        self.capsules = layout.capsules[:]
+        self.layout = layout
+        self.score = 0
+        self.scoreChange = 0
+
+        self.agentStates = []
+        numGhosts = 0
+        for isPacman, pos in layout.agentPositions:
+            if not isPacman:
+                if numGhosts == numGhostAgents: continue # Max ghosts reached already
+                else: numGhosts += 1
+            self.agentStates.append( AgentState( Configuration( pos, Directions.STOP), isPacman) )
+        self._eaten = [False for a in self.agentStates]
+
+try:
+    import boinc
+    _BOINC_ENABLED = True
+except:
+    _BOINC_ENABLED = False
+
+class Game:
+    """
+    The Game manages the control flow, soliciting actions from agents.
+    """
+
+    def __init__( self, agents, display, rules, startingIndex=0, muteAgents=False, catchExceptions=False ):
+        self.agentCrashed = False
+        self.agents = agents
+        self.display = display
+        self.rules = rules
+        self.startingIndex = startingIndex
+        self.gameOver = False
+        self.muteAgents = muteAgents
+        self.catchExceptions = catchExceptions
+        self.moveHistory = []
+        self.totalAgentTimes = [0 for agent in agents]
+        self.totalAgentTimeWarnings = [0 for agent in agents]
+        self.agentTimeout = False
+        import cStringIO
+        self.agentOutput = [cStringIO.StringIO() for agent in agents]
+
+    def getProgress(self):
+        if self.gameOver:
+            return 1.0
+        else:
+            return self.rules.getProgress(self)
+
+    def _agentCrash( self, agentIndex, quiet=False):
+        "Helper method for handling agent crashes"
+        if not quiet: traceback.print_exc()
+        self.gameOver = True
+        self.agentCrashed = True
+        self.rules.agentCrash(self, agentIndex)
+
+    OLD_STDOUT = None
+    OLD_STDERR = None
+
+    def mute(self, agentIndex):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        import cStringIO
+        OLD_STDOUT = sys.stdout
+        OLD_STDERR = sys.stderr
+        sys.stdout = self.agentOutput[agentIndex]
+        sys.stderr = self.agentOutput[agentIndex]
+
+    def unmute(self):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        # Revert stdout/stderr to originals
+        sys.stdout = OLD_STDOUT
+        sys.stderr = OLD_STDERR
+
+
+    def run( self ):
+        """
+        Main control loop for game play.
+        """
+        self.display.initialize(self.state.data)
+        self.numMoves = 0
+
+        ###self.display.initialize(self.state.makeObservation(1).data)
+        # inform learning agents of the game start
+        for i in range(len(self.agents)):
+            agent = self.agents[i]
+            if not agent:
+                self.mute(i)
+                # this is a null agent, meaning it failed to load
+                # the other team wins
+                print >>sys.stderr, "Agent %d failed to load" % i
+                self.unmute()
+                self._agentCrash(i, quiet=True)
+                return
+            if ("registerInitialState" in dir(agent)):
+                self.mute(i)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.registerInitialState, int(self.rules.getMaxStartupTime(i)))
+                        try:
+                            start_time = time.time()
+                            timed_func(self.state.deepCopy())
+                            time_taken = time.time() - start_time
+                            self.totalAgentTimes[i] += time_taken
+                        except TimeoutFunctionException:
+                            print >>sys.stderr, "Agent %d ran out of time on startup!" % i
+                            self.unmute()
+                            self.agentTimeout = True
+                            self._agentCrash(i, quiet=True)
+                            return
+                    except Exception,data:
+                        self._agentCrash(i, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    agent.registerInitialState(self.state.deepCopy())
+                ## TODO: could this exceed the total time
+                self.unmute()
+
+        agentIndex = self.startingIndex
+        numAgents = len( self.agents )
+
+        while not self.gameOver:
+            # Fetch the next agent
+            agent = self.agents[agentIndex]
+            move_time = 0
+            skip_action = False
+            # Generate an observation of the state
+            if 'observationFunction' in dir( agent ):
+                self.mute(agentIndex)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.observationFunction, int(self.rules.getMoveTimeout(agentIndex)))
+                        try:
+                            start_time = time.time()
+                            observation = timed_func(self.state.deepCopy())
+                        except TimeoutFunctionException:
+                            skip_action = True
+                        move_time += time.time() - start_time
+                        self.unmute()
+                    except Exception,data:
+                        self._agentCrash(agentIndex, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    observation = agent.observationFunction(self.state.deepCopy())
+                self.unmute()
+            else:
+                observation = self.state.deepCopy()
+
+            # Solicit an action
+            action = None
+            self.mute(agentIndex)
+            if self.catchExceptions:
+                try:
+                    timed_func = TimeoutFunction(agent.getAction, int(self.rules.getMoveTimeout(agentIndex)) - int(move_time))
+                    try:
+                        start_time = time.time()
+                        if skip_action:
+                            raise TimeoutFunctionException()
+                        action = timed_func( observation )
+                    except TimeoutFunctionException:
+                        print >>sys.stderr, "Agent %d timed out on a single move!" % agentIndex
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+
+                    move_time += time.time() - start_time
+
+                    if move_time > self.rules.getMoveWarningTime(agentIndex):
+                        self.totalAgentTimeWarnings[agentIndex] += 1
+                        print >>sys.stderr, "Agent %d took too long to make a move! This is warning %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                        if self.totalAgentTimeWarnings[agentIndex] > self.rules.getMaxTimeWarnings(agentIndex):
+                            print >>sys.stderr, "Agent %d exceeded the maximum number of warnings: %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                            self.agentTimeout = True
+                            self._agentCrash(agentIndex, quiet=True)
+                            self.unmute()
+                            return
+
+                    self.totalAgentTimes[agentIndex] += move_time
+                    #print "Agent: %d, time: %f, total: %f" % (agentIndex, move_time, self.totalAgentTimes[agentIndex])
+                    if self.totalAgentTimes[agentIndex] > self.rules.getMaxTotalTime(agentIndex):
+                        print >>sys.stderr, "Agent %d ran out of time! (time: %1.2f)" % (agentIndex, self.totalAgentTimes[agentIndex])
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+                    self.unmute()
+                except Exception,data:
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                action = agent.getAction(observation)
+            self.unmute()
+
+            # Execute the action
+            self.moveHistory.append( (agentIndex, action) )
+            if self.catchExceptions:
+                try:
+                    self.state = self.state.generateSuccessor( agentIndex, action )
+                except Exception,data:
+                    self.mute(agentIndex)
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                self.state = self.state.generateSuccessor( agentIndex, action )
+
+            # Change the display
+            self.display.update( self.state.data )
+            ###idx = agentIndex - agentIndex % 2 + 1
+            ###self.display.update( self.state.makeObservation(idx).data )
+
+            # Allow for game specific conditions (winning, losing, etc.)
+            self.rules.process(self.state, self)
+            # Track progress
+            if agentIndex == numAgents + 1: self.numMoves += 1
+            # Next agent
+            agentIndex = ( agentIndex + 1 ) % numAgents
+
+            if _BOINC_ENABLED:
+                boinc.set_fraction_done(self.getProgress())
+
+        # inform a learning agent of the game result
+        for agentIndex, agent in enumerate(self.agents):
+            if "final" in dir( agent ) :
+                try:
+                    self.mute(agentIndex)
+                    agent.final( self.state )
+                    self.unmute()
+                except Exception,data:
+                    if not self.catchExceptions: raise
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+        self.display.finish()
diff --git a/cs188-projects-master/P2 Multi-Agent Search/game.pyc b/cs188-projects-master/P2 Multi-Agent Search/game.pyc
new file mode 100644
index 0000000..99c5530
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/game.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/ghostAgents.py b/cs188-projects-master/P2 Multi-Agent Search/ghostAgents.py
new file mode 100644
index 0000000..c3afe1f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/ghostAgents.py	
@@ -0,0 +1,81 @@
+# ghostAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Actions
+from game import Directions
+import random
+from util import manhattanDistance
+import util
+
+class GhostAgent( Agent ):
+    def __init__( self, index ):
+        self.index = index
+
+    def getAction( self, state ):
+        dist = self.getDistribution(state)
+        if len(dist) == 0:
+            return Directions.STOP
+        else:
+            return util.chooseFromDistribution( dist )
+
+    def getDistribution(self, state):
+        "Returns a Counter encoding a distribution over actions from the provided state."
+        util.raiseNotDefined()
+
+class RandomGhost( GhostAgent ):
+    "A ghost that chooses a legal action uniformly at random."
+    def getDistribution( self, state ):
+        dist = util.Counter()
+        for a in state.getLegalActions( self.index ): dist[a] = 1.0
+        dist.normalize()
+        return dist
+
+class DirectionalGhost( GhostAgent ):
+    "A ghost that prefers to rush Pacman, or flee when scared."
+    def __init__( self, index, prob_attack=0.8, prob_scaredFlee=0.8 ):
+        self.index = index
+        self.prob_attack = prob_attack
+        self.prob_scaredFlee = prob_scaredFlee
+
+    def getDistribution( self, state ):
+        # Read variables from state
+        ghostState = state.getGhostState( self.index )
+        legalActions = state.getLegalActions( self.index )
+        pos = state.getGhostPosition( self.index )
+        isScared = ghostState.scaredTimer > 0
+
+        speed = 1
+        if isScared: speed = 0.5
+
+        actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions]
+        newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors]
+        pacmanPosition = state.getPacmanPosition()
+
+        # Select best actions given the state
+        distancesToPacman = [manhattanDistance( pos, pacmanPosition ) for pos in newPositions]
+        if isScared:
+            bestScore = max( distancesToPacman )
+            bestProb = self.prob_scaredFlee
+        else:
+            bestScore = min( distancesToPacman )
+            bestProb = self.prob_attack
+        bestActions = [action for action, distance in zip( legalActions, distancesToPacman ) if distance == bestScore]
+
+        # Construct distribution
+        dist = util.Counter()
+        for a in bestActions: dist[a] = bestProb / len(bestActions)
+        for a in legalActions: dist[a] += ( 1-bestProb ) / len(legalActions)
+        dist.normalize()
+        return dist
diff --git a/cs188-projects-master/P2 Multi-Agent Search/ghostAgents.pyc b/cs188-projects-master/P2 Multi-Agent Search/ghostAgents.pyc
new file mode 100644
index 0000000..5a6bef2
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/ghostAgents.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/grading.py b/cs188-projects-master/P2 Multi-Agent Search/grading.py
new file mode 100644
index 0000000..2b46f59
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/grading.py	
@@ -0,0 +1,323 @@
+# grading.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"Common code for autograders"
+
+import cgi
+import time
+import sys
+import json
+import traceback
+import pdb
+from collections import defaultdict
+import util
+
+class Grades:
+  "A data structure for project grades, along with formatting code to display them"
+  def __init__(self, projectName, questionsAndMaxesList,
+               gsOutput=False, edxOutput=False, muteOutput=False):
+    """
+    Defines the grading scheme for a project
+      projectName: project name
+      questionsAndMaxesDict: a list of (question name, max points per question)
+    """
+    self.questions = [el[0] for el in questionsAndMaxesList]
+    self.maxes = dict(questionsAndMaxesList)
+    self.points = Counter()
+    self.messages = dict([(q, []) for q in self.questions])
+    self.project = projectName
+    self.start = time.localtime()[1:6]
+    self.sane = True # Sanity checks
+    self.currentQuestion = None # Which question we're grading
+    self.edxOutput = edxOutput
+    self.gsOutput = gsOutput  # GradeScope output
+    self.mute = muteOutput
+    self.prereqs = defaultdict(set)
+
+    #print 'Autograder transcript for %s' % self.project
+    print 'Starting on %d-%d at %d:%02d:%02d' % self.start
+
+  def addPrereq(self, question, prereq):
+    self.prereqs[question].add(prereq)
+
+  def grade(self, gradingModule, exceptionMap = {}, bonusPic = False):
+    """
+    Grades each question
+      gradingModule: the module with all the grading functions (pass in with sys.modules[__name__])
+    """
+
+    completedQuestions = set([])
+    for q in self.questions:
+      print '\nQuestion %s' % q
+      print '=' * (9 + len(q))
+      print
+      self.currentQuestion = q
+
+      incompleted = self.prereqs[q].difference(completedQuestions)
+      if len(incompleted) > 0:
+          prereq = incompleted.pop()
+          print \
+"""*** NOTE: Make sure to complete Question %s before working on Question %s,
+*** because Question %s builds upon your answer for Question %s.
+""" % (prereq, q, q, prereq)
+          continue
+
+      if self.mute: util.mutePrint()
+      try:
+        util.TimeoutFunction(getattr(gradingModule, q),300)(self) # Call the question's function
+        #TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function
+      except Exception, inst:
+        self.addExceptionMessage(q, inst, traceback)
+        self.addErrorHints(exceptionMap, inst, q[1])
+      except:
+        self.fail('FAIL: Terminated with a string exception.')
+      finally:
+        if self.mute: util.unmutePrint()
+
+      if self.points[q] >= self.maxes[q]:
+        completedQuestions.add(q)
+
+      print '\n### Question %s: %d/%d ###\n' % (q, self.points[q], self.maxes[q])
+
+
+    print '\nFinished at %d:%02d:%02d' % time.localtime()[3:6]
+    print "\nProvisional grades\n=================="
+
+    for q in self.questions:
+      print 'Question %s: %d/%d' % (q, self.points[q], self.maxes[q])
+    print '------------------'
+    print 'Total: %d/%d' % (self.points.totalCount(), sum(self.maxes.values()))
+    if bonusPic and self.points.totalCount() == 25:
+      print """
+
+                     ALL HAIL GRANDPAC.
+              LONG LIVE THE GHOSTBUSTING KING.
+
+                  ---      ----      ---
+                  |  \    /  + \    /  |
+                  | + \--/      \--/ + |
+                  |   +     +          |
+                  | +     +        +   |
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+             \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              V   \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                   \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    V     @@@@@@@@@@@@@@@@@@@@@@@@
+                            @@@@@@@@@@@@@@@@@@@@@@
+                    /\      @@@@@@@@@@@@@@@@@@@@@@
+                   /  \  @@@@@@@@@@@@@@@@@@@@@@@@@
+              /\  /    @@@@@@@@@@@@@@@@@@@@@@@@@@@
+             /  \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            /    @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    @@@@@@@@@@@@@@@@@@
+
+"""
+    print """
+Your grades are NOT yet registered.  To register your grades, make sure
+to follow your instructor's guidelines to receive credit on your project.
+"""
+
+    if self.edxOutput:
+        self.produceOutput()
+    if self.gsOutput:
+        self.produceGradeScopeOutput()
+
+  def addExceptionMessage(self, q, inst, traceback):
+    """
+    Method to format the exception message, this is more complicated because
+    we need to cgi.escape the traceback but wrap the exception in a 
 tag
+    """
+    self.fail('FAIL: Exception raised: %s' % inst)
+    self.addMessage('')
+    for line in traceback.format_exc().split('\n'):
+        self.addMessage(line)
+
+  def addErrorHints(self, exceptionMap, errorInstance, questionNum):
+    typeOf = str(type(errorInstance))
+    questionName = 'q' + questionNum
+    errorHint = ''
+
+    # question specific error hints
+    if exceptionMap.get(questionName):
+      questionMap = exceptionMap.get(questionName)
+      if (questionMap.get(typeOf)):
+        errorHint = questionMap.get(typeOf)
+    # fall back to general error messages if a question specific
+    # one does not exist
+    if (exceptionMap.get(typeOf)):
+      errorHint = exceptionMap.get(typeOf)
+
+    # dont include the HTML if we have no error hint
+    if not errorHint:
+      return ''
+
+    for line in errorHint.split('\n'):
+      self.addMessage(line)
+
+  def produceGradeScopeOutput(self):
+    out_dct = {}
+
+    # total of entire submission
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    out_dct['score'] = total_score
+    out_dct['max_score'] = total_possible
+    out_dct['output'] = "Total score (%d / %d)" % (total_score, total_possible)
+
+    # individual tests
+    tests_out = []
+    for name in self.questions:
+      test_out = {}
+      # test name
+      test_out['name'] = name
+      # test score
+      test_out['score'] = self.points[name]
+      test_out['max_score'] = self.maxes[name]
+      # others
+      is_correct = self.points[name] >= self.maxes[name]
+      test_out['output'] = "  Question {num} ({points}/{max}) {correct}".format(
+          num=(name[1] if len(name) == 2 else name),
+          points=test_out['score'],
+          max=test_out['max_score'],
+          correct=('X' if not is_correct else ''),
+      )
+      test_out['tags'] = []
+      tests_out.append(test_out)
+    out_dct['tests'] = tests_out
+
+    # file output
+    with open('gradescope_response.json', 'w') as outfile:
+        json.dump(out_dct, outfile)
+    return
+
+  def produceOutput(self):
+    edxOutput = open('edx_response.html', 'w')
+    edxOutput.write("
")
+
+    # first sum
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    checkOrX = ''
+    if (total_score >= total_possible):
+        checkOrX = ''
+    header = """
+        

+            Total score ({total_score} / {total_possible})
+        

+    """.format(total_score = total_score,
+      total_possible = total_possible,
+      checkOrX = checkOrX
+    )
+    edxOutput.write(header)
+
+    for q in self.questions:
+      if len(q) == 2:
+          name = q[1]
+      else:
+          name = q
+      checkOrX = ''
+      if (self.points[q] >= self.maxes[q]):
+        checkOrX = ''
+      #messages = '\n
\n'.join(self.messages[q])
+      messages = "
%s
" % '\n'.join(self.messages[q])
+      output = """
+        

+          

+          

+            Question {q} ({points}/{max}) {checkOrX}
+          

+        

+          {messages}
+        

+        

+      

+      """.format(q = name,
+        max = self.maxes[q],
+        messages = messages,
+        checkOrX = checkOrX,
+        points = self.points[q]
+      )
+      # print "*** output for Question %s " % q[1]
+      # print output
+      edxOutput.write(output)
+    edxOutput.write("
")
+    edxOutput.close()
+    edxOutput = open('edx_grade', 'w')
+    edxOutput.write(str(self.points.totalCount()))
+    edxOutput.close()
+
+  def fail(self, message, raw=False):
+    "Sets sanity check bit to false and outputs a message"
+    self.sane = False
+    self.assignZeroCredit()
+    self.addMessage(message, raw)
+
+  def assignZeroCredit(self):
+    self.points[self.currentQuestion] = 0
+
+  def addPoints(self, amt):
+    self.points[self.currentQuestion] += amt
+
+  def deductPoints(self, amt):
+    self.points[self.currentQuestion] -= amt
+
+  def assignFullCredit(self, message="", raw=False):
+    self.points[self.currentQuestion] = self.maxes[self.currentQuestion]
+    if message != "":
+      self.addMessage(message, raw)
+
+  def addMessage(self, message, raw=False):
+    if not raw:
+        # We assume raw messages, formatted for HTML, are printed separately
+        if self.mute: util.unmutePrint()
+        print '*** ' + message
+        if self.mute: util.mutePrint()
+        message = cgi.escape(message)
+    self.messages[self.currentQuestion].append(message)
+
+  def addMessageToEmail(self, message):
+    print "WARNING**** addMessageToEmail is deprecated %s" % message
+    for line in message.split('\n'):
+      pass
+      #print '%%% ' + line + ' %%%'
+      #self.messages[self.currentQuestion].append(line)
+
+
+
+
+
+class Counter(dict):
+  """
+  Dict with default 0
+  """
+  def __getitem__(self, idx):
+    try:
+      return dict.__getitem__(self, idx)
+    except KeyError:
+      return 0
+
+  def totalCount(self):
+    """
+    Returns the sum of counts for all keys.
+    """
+    return sum(self.values())
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/grading.pyc b/cs188-projects-master/P2 Multi-Agent Search/grading.pyc
new file mode 100644
index 0000000..7282a50
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/grading.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/graphicsDisplay.py b/cs188-projects-master/P2 Multi-Agent Search/graphicsDisplay.py
new file mode 100644
index 0000000..1bfe1b3
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/graphicsDisplay.py	
@@ -0,0 +1,679 @@
+# graphicsDisplay.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsUtils import *
+import math, time
+from game import Directions
+
+###########################
+#  GRAPHICS DISPLAY CODE  #
+###########################
+
+# Most code by Dan Klein and John Denero written or rewritten for cs188, UC Berkeley.
+# Some code from a Pacman implementation by LiveWires, and used / modified with permission.
+
+DEFAULT_GRID_SIZE = 30.0
+INFO_PANE_HEIGHT = 35
+BACKGROUND_COLOR = formatColor(0,0,0)
+WALL_COLOR = formatColor(0.0/255.0, 51.0/255.0, 255.0/255.0)
+INFO_PANE_COLOR = formatColor(.4,.4,0)
+SCORE_COLOR = formatColor(.9, .9, .9)
+PACMAN_OUTLINE_WIDTH = 2
+PACMAN_CAPTURE_OUTLINE_WIDTH = 4
+
+GHOST_COLORS = []
+GHOST_COLORS.append(formatColor(.9,0,0)) # Red
+GHOST_COLORS.append(formatColor(0,.3,.9)) # Blue
+GHOST_COLORS.append(formatColor(.98,.41,.07)) # Orange
+GHOST_COLORS.append(formatColor(.1,.75,.7)) # Green
+GHOST_COLORS.append(formatColor(1.0,0.6,0.0)) # Yellow
+GHOST_COLORS.append(formatColor(.4,0.13,0.91)) # Purple
+
+TEAM_COLORS = GHOST_COLORS[:2]
+
+GHOST_SHAPE = [
+    ( 0,    0.3 ),
+    ( 0.25, 0.75 ),
+    ( 0.5,  0.3 ),
+    ( 0.75, 0.75 ),
+    ( 0.75, -0.5 ),
+    ( 0.5,  -0.75 ),
+    (-0.5,  -0.75 ),
+    (-0.75, -0.5 ),
+    (-0.75, 0.75 ),
+    (-0.5,  0.3 ),
+    (-0.25, 0.75 )
+  ]
+GHOST_SIZE = 0.65
+SCARED_COLOR = formatColor(1,1,1)
+
+GHOST_VEC_COLORS = map(colorToVector, GHOST_COLORS)
+
+PACMAN_COLOR = formatColor(255.0/255.0,255.0/255.0,61.0/255)
+PACMAN_SCALE = 0.5
+#pacman_speed = 0.25
+
+# Food
+FOOD_COLOR = formatColor(1,1,1)
+FOOD_SIZE = 0.1
+
+# Laser
+LASER_COLOR = formatColor(1,0,0)
+LASER_SIZE = 0.02
+
+# Capsule graphics
+CAPSULE_COLOR = formatColor(1,1,1)
+CAPSULE_SIZE = 0.25
+
+# Drawing walls
+WALL_RADIUS = 0.15
+
+class InfoPane:
+    def __init__(self, layout, gridSize):
+        self.gridSize = gridSize
+        self.width = (layout.width) * gridSize
+        self.base = (layout.height + 1) * gridSize
+        self.height = INFO_PANE_HEIGHT
+        self.fontSize = 24
+        self.textColor = PACMAN_COLOR
+        self.drawPane()
+
+    def toScreen(self, pos, y = None):
+        """
+          Translates a point relative from the bottom left of the info pane.
+        """
+        if y == None:
+            x,y = pos
+        else:
+            x = pos
+
+        x = self.gridSize + x # Margin
+        y = self.base + y
+        return x,y
+
+    def drawPane(self):
+        self.scoreText = text( self.toScreen(0, 0  ), self.textColor, "SCORE:    0", "Times", self.fontSize, "bold")
+
+    def initializeGhostDistances(self, distances):
+        self.ghostDistanceText = []
+
+        size = 20
+        if self.width < 240:
+            size = 12
+        if self.width < 160:
+            size = 10
+
+        for i, d in enumerate(distances):
+            t = text( self.toScreen(self.width/2 + self.width/8 * i, 0), GHOST_COLORS[i+1], d, "Times", size, "bold")
+            self.ghostDistanceText.append(t)
+
+    def updateScore(self, score):
+        changeText(self.scoreText, "SCORE: % 4d" % score)
+
+    def setTeam(self, isBlue):
+        text = "RED TEAM"
+        if isBlue: text = "BLUE TEAM"
+        self.teamText = text( self.toScreen(300, 0  ), self.textColor, text, "Times", self.fontSize, "bold")
+
+    def updateGhostDistances(self, distances):
+        if len(distances) == 0: return
+        if 'ghostDistanceText' not in dir(self): self.initializeGhostDistances(distances)
+        else:
+            for i, d in enumerate(distances):
+                changeText(self.ghostDistanceText[i], d)
+
+    def drawGhost(self):
+        pass
+
+    def drawPacman(self):
+        pass
+
+    def drawWarning(self):
+        pass
+
+    def clearIcon(self):
+        pass
+
+    def updateMessage(self, message):
+        pass
+
+    def clearMessage(self):
+        pass
+
+
+class PacmanGraphics:
+    def __init__(self, zoom=1.0, frameTime=0.0, capture=False):
+        self.have_window = 0
+        self.currentGhostImages = {}
+        self.pacmanImage = None
+        self.zoom = zoom
+        self.gridSize = DEFAULT_GRID_SIZE * zoom
+        self.capture = capture
+        self.frameTime = frameTime
+
+    def checkNullDisplay(self):
+        return False
+
+    def initialize(self, state, isBlue = False):
+        self.isBlue = isBlue
+        self.startGraphics(state)
+
+        # self.drawDistributions(state)
+        self.distributionImages = None  # Initialized lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def startGraphics(self, state):
+        self.layout = state.layout
+        layout = self.layout
+        self.width = layout.width
+        self.height = layout.height
+        self.make_window(self.width, self.height)
+        self.infoPane = InfoPane(layout, self.gridSize)
+        self.currentState = layout
+
+    def drawDistributions(self, state):
+        walls = state.layout.walls
+        dist = []
+        for x in range(walls.width):
+            distx = []
+            dist.append(distx)
+            for y in range(walls.height):
+                ( screen_x, screen_y ) = self.to_screen( (x, y) )
+                block = square( (screen_x, screen_y),
+                                0.5 * self.gridSize,
+                                color = BACKGROUND_COLOR,
+                                filled = 1, behind=2)
+                distx.append(block)
+        self.distributionImages = dist
+
+    def drawStaticObjects(self, state):
+        layout = self.layout
+        self.drawWalls(layout.walls)
+        self.food = self.drawFood(layout.food)
+        self.capsules = self.drawCapsules(layout.capsules)
+        refresh()
+
+    def drawAgentObjects(self, state):
+        self.agentImages = [] # (agentState, image)
+        for index, agent in enumerate(state.agentStates):
+            if agent.isPacman:
+                image = self.drawPacman(agent, index)
+                self.agentImages.append( (agent, image) )
+            else:
+                image = self.drawGhost(agent, index)
+                self.agentImages.append( (agent, image) )
+        refresh()
+
+    def swapImages(self, agentIndex, newState):
+        """
+          Changes an image from a ghost to a pacman or vis versa (for capture)
+        """
+        prevState, prevImage = self.agentImages[agentIndex]
+        for item in prevImage: remove_from_screen(item)
+        if newState.isPacman:
+            image = self.drawPacman(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        else:
+            image = self.drawGhost(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        refresh()
+
+    def update(self, newState):
+        agentIndex = newState._agentMoved
+        agentState = newState.agentStates[agentIndex]
+
+        if self.agentImages[agentIndex][0].isPacman != agentState.isPacman: self.swapImages(agentIndex, agentState)
+        prevState, prevImage = self.agentImages[agentIndex]
+        if agentState.isPacman:
+            self.animatePacman(agentState, prevState, prevImage)
+        else:
+            self.moveGhost(agentState, agentIndex, prevState, prevImage)
+        self.agentImages[agentIndex] = (agentState, prevImage)
+
+        if newState._foodEaten != None:
+            self.removeFood(newState._foodEaten, self.food)
+        if newState._capsuleEaten != None:
+            self.removeCapsule(newState._capsuleEaten, self.capsules)
+        self.infoPane.updateScore(newState.score)
+        if 'ghostDistances' in dir(newState):
+            self.infoPane.updateGhostDistances(newState.ghostDistances)
+
+    def make_window(self, width, height):
+        grid_width = (width-1) * self.gridSize
+        grid_height = (height-1) * self.gridSize
+        screen_width = 2*self.gridSize + grid_width
+        screen_height = 2*self.gridSize + grid_height + INFO_PANE_HEIGHT
+
+        begin_graphics(screen_width,
+                       screen_height,
+                       BACKGROUND_COLOR,
+                       "CS188 Pacman")
+
+    def drawPacman(self, pacman, index):
+        position = self.getPosition(pacman)
+        screen_point = self.to_screen(position)
+        endpoints = self.getEndpoints(self.getDirection(pacman))
+
+        width = PACMAN_OUTLINE_WIDTH
+        outlineColor = PACMAN_COLOR
+        fillColor = PACMAN_COLOR
+
+        if self.capture:
+            outlineColor = TEAM_COLORS[index % 2]
+            fillColor = GHOST_COLORS[index]
+            width = PACMAN_CAPTURE_OUTLINE_WIDTH
+
+        return [circle(screen_point, PACMAN_SCALE * self.gridSize,
+                       fillColor = fillColor, outlineColor = outlineColor,
+                       endpoints = endpoints,
+                       width = width)]
+
+    def getEndpoints(self, direction, position=(0,0)):
+        x, y = position
+        pos = x - int(x) + y - int(y)
+        width = 30 + 80 * math.sin(math.pi* pos)
+
+        delta = width / 2
+        if (direction == 'West'):
+            endpoints = (180+delta, 180-delta)
+        elif (direction == 'North'):
+            endpoints = (90+delta, 90-delta)
+        elif (direction == 'South'):
+            endpoints = (270+delta, 270-delta)
+        else:
+            endpoints = (0+delta, 0-delta)
+        return endpoints
+
+    def movePacman(self, position, direction, image):
+        screenPosition = self.to_screen(position)
+        endpoints = self.getEndpoints( direction, position )
+        r = PACMAN_SCALE * self.gridSize
+        moveCircle(image[0], screenPosition, r, endpoints)
+        refresh()
+
+    def animatePacman(self, pacman, prevPacman, image):
+        if self.frameTime < 0:
+            print 'Press any key to step forward, "q" to play'
+            keys = wait_for_keys()
+            if 'q' in keys:
+                self.frameTime = 0.1
+        if self.frameTime > 0.01 or self.frameTime < 0:
+            start = time.time()
+            fx, fy = self.getPosition(prevPacman)
+            px, py = self.getPosition(pacman)
+            frames = 4.0
+            for i in range(1,int(frames) + 1):
+                pos = px*i/frames + fx*(frames-i)/frames, py*i/frames + fy*(frames-i)/frames
+                self.movePacman(pos, self.getDirection(pacman), image)
+                refresh()
+                sleep(abs(self.frameTime) / frames)
+        else:
+            self.movePacman(self.getPosition(pacman), self.getDirection(pacman), image)
+        refresh()
+
+    def getGhostColor(self, ghost, ghostIndex):
+        if ghost.scaredTimer > 0:
+            return SCARED_COLOR
+        else:
+            return GHOST_COLORS[ghostIndex]
+
+    def drawGhost(self, ghost, agentIndex):
+        pos = self.getPosition(ghost)
+        dir = self.getDirection(ghost)
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        coords = []
+        for (x, y) in GHOST_SHAPE:
+            coords.append((x*self.gridSize*GHOST_SIZE + screen_x, y*self.gridSize*GHOST_SIZE + screen_y))
+
+        colour = self.getGhostColor(ghost, agentIndex)
+        body = polygon(coords, colour, filled = 1)
+        WHITE = formatColor(1.0, 1.0, 1.0)
+        BLACK = formatColor(0.0, 0.0, 0.0)
+
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        leftEye = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        rightEye = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        leftPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        rightPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        ghostImageParts = []
+        ghostImageParts.append(body)
+        ghostImageParts.append(leftEye)
+        ghostImageParts.append(rightEye)
+        ghostImageParts.append(leftPupil)
+        ghostImageParts.append(rightPupil)
+
+        return ghostImageParts
+
+    def moveEyes(self, pos, dir, eyes):
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        moveCircle(eyes[0],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[1],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[2],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+        moveCircle(eyes[3],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+
+    def moveGhost(self, ghost, ghostIndex, prevGhost, ghostImageParts):
+        old_x, old_y = self.to_screen(self.getPosition(prevGhost))
+        new_x, new_y = self.to_screen(self.getPosition(ghost))
+        delta = new_x - old_x, new_y - old_y
+
+        for ghostImagePart in ghostImageParts:
+            move_by(ghostImagePart, delta)
+        refresh()
+
+        if ghost.scaredTimer > 0:
+            color = SCARED_COLOR
+        else:
+            color = GHOST_COLORS[ghostIndex]
+        edit(ghostImageParts[0], ('fill', color), ('outline', color))
+        self.moveEyes(self.getPosition(ghost), self.getDirection(ghost), ghostImageParts[-4:])
+        refresh()
+
+    def getPosition(self, agentState):
+        if agentState.configuration == None: return (-1000, -1000)
+        return agentState.getPosition()
+
+    def getDirection(self, agentState):
+        if agentState.configuration == None: return Directions.STOP
+        return agentState.configuration.getDirection()
+
+    def finish(self):
+        end_graphics()
+
+    def to_screen(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    # Fixes some TK issue with off-center circles
+    def to_screen2(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    def drawWalls(self, wallMatrix):
+        wallColor = WALL_COLOR
+        for xNum, x in enumerate(wallMatrix):
+            if self.capture and (xNum * 2) < wallMatrix.width: wallColor = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) >= wallMatrix.width: wallColor = TEAM_COLORS[1]
+
+            for yNum, cell in enumerate(x):
+                if cell: # There's a wall here
+                    pos = (xNum, yNum)
+                    screen = self.to_screen(pos)
+                    screen2 = self.to_screen2(pos)
+
+                    # draw each quadrant of the square based on adjacent walls
+                    wIsWall = self.isWall(xNum-1, yNum, wallMatrix)
+                    eIsWall = self.isWall(xNum+1, yNum, wallMatrix)
+                    nIsWall = self.isWall(xNum, yNum+1, wallMatrix)
+                    sIsWall = self.isWall(xNum, yNum-1, wallMatrix)
+                    nwIsWall = self.isWall(xNum-1, yNum+1, wallMatrix)
+                    swIsWall = self.isWall(xNum-1, yNum-1, wallMatrix)
+                    neIsWall = self.isWall(xNum+1, yNum+1, wallMatrix)
+                    seIsWall = self.isWall(xNum+1, yNum-1, wallMatrix)
+
+                    # NE quadrant
+                    if (not nIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (0,91), 'arc')
+                    if (nIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (eIsWall) and (not neIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (180,271), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # NW quadrant
+                    if (not nIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (90,181), 'arc')
+                    if (nIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (wIsWall) and (not nwIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (270,361), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # SE quadrant
+                    if (not sIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (270,361), 'arc')
+                    if (sIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (eIsWall) and (not seIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (90,181), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+                    # SW quadrant
+                    if (not sIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (180,271), 'arc')
+                    if (sIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (wIsWall) and (not swIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (0,91), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+    def isWall(self, x, y, walls):
+        if x < 0 or y < 0:
+            return False
+        if x >= walls.width or y >= walls.height:
+            return False
+        return walls[x][y]
+
+    def drawFood(self, foodMatrix ):
+        foodImages = []
+        color = FOOD_COLOR
+        for xNum, x in enumerate(foodMatrix):
+            if self.capture and (xNum * 2) <= foodMatrix.width: color = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) > foodMatrix.width: color = TEAM_COLORS[1]
+            imageRow = []
+            foodImages.append(imageRow)
+            for yNum, cell in enumerate(x):
+                if cell: # There's food here
+                    screen = self.to_screen((xNum, yNum ))
+                    dot = circle( screen,
+                                  FOOD_SIZE * self.gridSize,
+                                  outlineColor = color, fillColor = color,
+                                  width = 1)
+                    imageRow.append(dot)
+                else:
+                    imageRow.append(None)
+        return foodImages
+
+    def drawCapsules(self, capsules ):
+        capsuleImages = {}
+        for capsule in capsules:
+            ( screen_x, screen_y ) = self.to_screen(capsule)
+            dot = circle( (screen_x, screen_y),
+                              CAPSULE_SIZE * self.gridSize,
+                              outlineColor = CAPSULE_COLOR,
+                              fillColor = CAPSULE_COLOR,
+                              width = 1)
+            capsuleImages[capsule] = dot
+        return capsuleImages
+
+    def removeFood(self, cell, foodImages ):
+        x, y = cell
+        remove_from_screen(foodImages[x][y])
+
+    def removeCapsule(self, cell, capsuleImages ):
+        x, y = cell
+        remove_from_screen(capsuleImages[(x, y)])
+
+    def drawExpandedCells(self, cells):
+        """
+        Draws an overlay of expanded grid positions for search agents
+        """
+        n = float(len(cells))
+        baseColor = [1.0, 0.0, 0.0]
+        self.clearExpandedCells()
+        self.expandedCells = []
+        for k, cell in enumerate(cells):
+            screenPos = self.to_screen( cell)
+            cellColor = formatColor(*[(n-k) * c * .5 / n + .25 for c in baseColor])
+            block = square(screenPos,
+                     0.5 * self.gridSize,
+                     color = cellColor,
+                     filled = 1, behind=2)
+            self.expandedCells.append(block)
+            if self.frameTime < 0:
+                refresh()
+
+    def clearExpandedCells(self):
+        if 'expandedCells' in dir(self) and len(self.expandedCells) > 0:
+            for cell in self.expandedCells:
+                remove_from_screen(cell)
+
+
+    def updateDistributions(self, distributions):
+        "Draws an agent's belief distributions"
+        # copy all distributions so we don't change their state
+        distributions = map(lambda x: x.copy(), distributions)
+        if self.distributionImages == None:
+            self.drawDistributions(self.previousState)
+        for x in range(len(self.distributionImages)):
+            for y in range(len(self.distributionImages[0])):
+                image = self.distributionImages[x][y]
+                weights = [dist[ (x,y) ] for dist in distributions]
+
+                if sum(weights) != 0:
+                    pass
+                # Fog of war
+                color = [0.0,0.0,0.0]
+                colors = GHOST_VEC_COLORS[1:] # With Pacman
+                if self.capture: colors = GHOST_VEC_COLORS
+                for weight, gcolor in zip(weights, colors):
+                    color = [min(1.0, c + 0.95 * g * weight ** .3) for c,g in zip(color, gcolor)]
+                changeColor(image, formatColor(*color))
+        refresh()
+
+class FirstPersonPacmanGraphics(PacmanGraphics):
+    def __init__(self, zoom = 1.0, showGhosts = True, capture = False, frameTime=0):
+        PacmanGraphics.__init__(self, zoom, frameTime=frameTime)
+        self.showGhosts = showGhosts
+        self.capture = capture
+
+    def initialize(self, state, isBlue = False):
+
+        self.isBlue = isBlue
+        PacmanGraphics.startGraphics(self, state)
+        # Initialize distribution images
+        walls = state.layout.walls
+        dist = []
+        self.layout = state.layout
+
+        # Draw the rest
+        self.distributionImages = None  # initialize lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def lookAhead(self, config, state):
+        if config.getDirection() == 'Stop':
+            return
+        else:
+            pass
+            # Draw relevant ghosts
+            allGhosts = state.getGhostStates()
+            visibleGhosts = state.getVisibleGhosts()
+            for i, ghost in enumerate(allGhosts):
+                if ghost in visibleGhosts:
+                    self.drawGhost(ghost, i)
+                else:
+                    self.currentGhostImages[i] = None
+
+    def getGhostColor(self, ghost, ghostIndex):
+        return GHOST_COLORS[ghostIndex]
+
+    def getPosition(self, ghostState):
+        if not self.showGhosts and not ghostState.isPacman and ghostState.getPosition()[1] > 1:
+            return (-1000, -1000)
+        else:
+            return PacmanGraphics.getPosition(self, ghostState)
+
+def add(x, y):
+    return (x[0] + y[0], x[1] + y[1])
+
+
+# Saving graphical output
+# -----------------------
+# Note: to make an animated gif from this postscript output, try the command:
+# convert -delay 7 -loop 1 -compress lzw -layers optimize frame* out.gif
+# convert is part of imagemagick (freeware)
+
+SAVE_POSTSCRIPT = False
+POSTSCRIPT_OUTPUT_DIR = 'frames'
+FRAME_NUMBER = 0
+import os
+
+def saveFrame():
+    "Saves the current graphical output as a postscript file"
+    global SAVE_POSTSCRIPT, FRAME_NUMBER, POSTSCRIPT_OUTPUT_DIR
+    if not SAVE_POSTSCRIPT: return
+    if not os.path.exists(POSTSCRIPT_OUTPUT_DIR): os.mkdir(POSTSCRIPT_OUTPUT_DIR)
+    name = os.path.join(POSTSCRIPT_OUTPUT_DIR, 'frame_%08d.ps' % FRAME_NUMBER)
+    FRAME_NUMBER += 1
+    writePostscript(name) # writes the current canvas
diff --git a/cs188-projects-master/P2 Multi-Agent Search/graphicsDisplay.pyc b/cs188-projects-master/P2 Multi-Agent Search/graphicsDisplay.pyc
new file mode 100644
index 0000000..c106e32
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/graphicsDisplay.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/graphicsUtils.py b/cs188-projects-master/P2 Multi-Agent Search/graphicsUtils.py
new file mode 100644
index 0000000..b80d3d2
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/graphicsUtils.py	
@@ -0,0 +1,402 @@
+# graphicsUtils.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import math
+import random
+import string
+import time
+import types
+import Tkinter
+import os.path
+
+_Windows = sys.platform == 'win32'  # True if on Win95/98/NT
+
+_root_window = None      # The root window for graphics output
+_canvas = None      # The canvas which holds graphics
+_canvas_xs = None      # Size of canvas object
+_canvas_ys = None
+_canvas_x = None      # Current position on canvas
+_canvas_y = None
+_canvas_col = None      # Current colour (set to black below)
+_canvas_tsize = 12
+_canvas_tserifs = 0
+
+def formatColor(r, g, b):
+    return '#%02x%02x%02x' % (int(r * 255), int(g * 255), int(b * 255))
+
+def colorToVector(color):
+    return map(lambda x: int(x, 16) / 256.0, [color[1:3], color[3:5], color[5:7]])
+
+if _Windows:
+    _canvas_tfonts = ['times new roman', 'lucida console']
+else:
+    _canvas_tfonts = ['times', 'lucidasans-24']
+    pass # XXX need defaults here
+
+def sleep(secs):
+    global _root_window
+    if _root_window == None:
+        time.sleep(secs)
+    else:
+        _root_window.update_idletasks()
+        _root_window.after(int(1000 * secs), _root_window.quit)
+        _root_window.mainloop()
+
+def begin_graphics(width=640, height=480, color=formatColor(0, 0, 0), title=None):
+
+    global _root_window, _canvas, _canvas_x, _canvas_y, _canvas_xs, _canvas_ys, _bg_color
+
+    # Check for duplicate call
+    if _root_window is not None:
+        # Lose the window.
+        _root_window.destroy()
+
+    # Save the canvas size parameters
+    _canvas_xs, _canvas_ys = width - 1, height - 1
+    _canvas_x, _canvas_y = 0, _canvas_ys
+    _bg_color = color
+
+    # Create the root window
+    _root_window = Tkinter.Tk()
+    _root_window.protocol('WM_DELETE_WINDOW', _destroy_window)
+    _root_window.title(title or 'Graphics Window')
+    _root_window.resizable(0, 0)
+
+    # Create the canvas object
+    try:
+        _canvas = Tkinter.Canvas(_root_window, width=width, height=height)
+        _canvas.pack()
+        draw_background()
+        _canvas.update()
+    except:
+        _root_window = None
+        raise
+
+    # Bind to key-down and key-up events
+    _root_window.bind( "", _keypress )
+    _root_window.bind( "", _keyrelease )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _leftclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _ctrl_leftclick)
+    _clear_keys()
+
+_leftclick_loc = None
+_rightclick_loc = None
+_ctrl_leftclick_loc = None
+
+def _leftclick(event):
+    global _leftclick_loc
+    _leftclick_loc = (event.x, event.y)
+
+def _rightclick(event):
+    global _rightclick_loc
+    _rightclick_loc = (event.x, event.y)
+
+def _ctrl_leftclick(event):
+    global _ctrl_leftclick_loc
+    _ctrl_leftclick_loc = (event.x, event.y)
+
+def wait_for_click():
+    while True:
+        global _leftclick_loc
+        global _rightclick_loc
+        global _ctrl_leftclick_loc
+        if _leftclick_loc != None:
+            val = _leftclick_loc
+            _leftclick_loc = None
+            return val, 'left'
+        if _rightclick_loc != None:
+            val = _rightclick_loc
+            _rightclick_loc = None
+            return val, 'right'
+        if _ctrl_leftclick_loc != None:
+            val = _ctrl_leftclick_loc
+            _ctrl_leftclick_loc = None
+            return val, 'ctrl_left'
+        sleep(0.05)
+
+def draw_background():
+    corners = [(0,0), (0, _canvas_ys), (_canvas_xs, _canvas_ys), (_canvas_xs, 0)]
+    polygon(corners, _bg_color, fillColor=_bg_color, filled=True, smoothed=False)
+
+def _destroy_window(event=None):
+    sys.exit(0)
+#    global _root_window
+#    _root_window.destroy()
+#    _root_window = None
+    #print "DESTROY"
+
+def end_graphics():
+    global _root_window, _canvas, _mouse_enabled
+    try:
+        try:
+            sleep(1)
+            if _root_window != None:
+                _root_window.destroy()
+        except SystemExit, e:
+            print 'Ending graphics raised an exception:', e
+    finally:
+        _root_window = None
+        _canvas = None
+        _mouse_enabled = 0
+        _clear_keys()
+
+def clear_screen(background=None):
+    global _canvas_x, _canvas_y
+    _canvas.delete('all')
+    draw_background()
+    _canvas_x, _canvas_y = 0, _canvas_ys
+
+def polygon(coords, outlineColor, fillColor=None, filled=1, smoothed=1, behind=0, width=1):
+    c = []
+    for coord in coords:
+        c.append(coord[0])
+        c.append(coord[1])
+    if fillColor == None: fillColor = outlineColor
+    if filled == 0: fillColor = ""
+    poly = _canvas.create_polygon(c, outline=outlineColor, fill=fillColor, smooth=smoothed, width=width)
+    if behind > 0:
+        _canvas.tag_lower(poly, behind) # Higher should be more visible
+    return poly
+
+def square(pos, r, color, filled=1, behind=0):
+    x, y = pos
+    coords = [(x - r, y - r), (x + r, y - r), (x + r, y + r), (x - r, y + r)]
+    return polygon(coords, color, color, filled, 0, behind=behind)
+
+def circle(pos, r, outlineColor, fillColor, endpoints=None, style='pieslice', width=2):
+    x, y = pos
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    return _canvas.create_arc(x0, y0, x1, y1, outline=outlineColor, fill=fillColor,
+                              extent=e[1] - e[0], start=e[0], style=style, width=width)
+
+def image(pos, file="../../blueghost.gif"):
+    x, y = pos
+    # img = PhotoImage(file=file)
+    return _canvas.create_image(x, y, image = Tkinter.PhotoImage(file=file), anchor = Tkinter.NW)
+
+
+def refresh():
+    _canvas.update_idletasks()
+
+def moveCircle(id, pos, r, endpoints=None):
+    global _canvas_x, _canvas_y
+
+    x, y = pos
+#    x0, x1 = x - r, x + r + 1
+#    y0, y1 = y - r, y + r + 1
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    if os.path.isfile('flag'):
+        edit(id, ('extent', e[1] - e[0]))
+    else:
+        edit(id, ('start', e[0]), ('extent', e[1] - e[0]))
+    move_to(id, x0, y0)
+
+def edit(id, *args):
+    _canvas.itemconfigure(id, **dict(args))
+
+def text(pos, color, contents, font='Helvetica', size=12, style='normal', anchor="nw"):
+    global _canvas_x, _canvas_y
+    x, y = pos
+    font = (font, str(size), style)
+    return _canvas.create_text(x, y, fill=color, text=contents, font=font, anchor=anchor)
+
+def changeText(id, newText, font=None, size=12, style='normal'):
+    _canvas.itemconfigure(id, text=newText)
+    if font != None:
+        _canvas.itemconfigure(id, font=(font, '-%d' % size, style))
+
+def changeColor(id, newColor):
+    _canvas.itemconfigure(id, fill=newColor)
+
+def line(here, there, color=formatColor(0, 0, 0), width=2):
+    x0, y0 = here[0], here[1]
+    x1, y1 = there[0], there[1]
+    return _canvas.create_line(x0, y0, x1, y1, fill=color, width=width)
+
+##############################################################################
+### Keypress handling ########################################################
+##############################################################################
+
+# We bind to key-down and key-up events.
+
+_keysdown = {}
+_keyswaiting = {}
+# This holds an unprocessed key release.  We delay key releases by up to
+# one call to keys_pressed() to get round a problem with auto repeat.
+_got_release = None
+
+def _keypress(event):
+    global _got_release
+    #remap_arrows(event)
+    _keysdown[event.keysym] = 1
+    _keyswaiting[event.keysym] = 1
+#    print event.char, event.keycode
+    _got_release = None
+
+def _keyrelease(event):
+    global _got_release
+    #remap_arrows(event)
+    try:
+        del _keysdown[event.keysym]
+    except:
+        pass
+    _got_release = 1
+
+def remap_arrows(event):
+    # TURN ARROW PRESSES INTO LETTERS (SHOULD BE IN KEYBOARD AGENT)
+    if event.char in ['a', 's', 'd', 'w']:
+        return
+    if event.keycode in [37, 101]: # LEFT ARROW (win / x)
+        event.char = 'a'
+    if event.keycode in [38, 99]: # UP ARROW
+        event.char = 'w'
+    if event.keycode in [39, 102]: # RIGHT ARROW
+        event.char = 'd'
+    if event.keycode in [40, 104]: # DOWN ARROW
+        event.char = 's'
+
+def _clear_keys(event=None):
+    global _keysdown, _got_release, _keyswaiting
+    _keysdown = {}
+    _keyswaiting = {}
+    _got_release = None
+
+def keys_pressed(d_o_e=Tkinter.tkinter.dooneevent,
+                 d_w=Tkinter.tkinter.DONT_WAIT):
+    d_o_e(d_w)
+    if _got_release:
+        d_o_e(d_w)
+    return _keysdown.keys()
+
+def keys_waiting():
+    global _keyswaiting
+    keys = _keyswaiting.keys()
+    _keyswaiting = {}
+    return keys
+
+# Block for a list of keys...
+
+def wait_for_keys():
+    keys = []
+    while keys == []:
+        keys = keys_pressed()
+        sleep(0.05)
+    return keys
+
+def remove_from_screen(x,
+                       d_o_e=Tkinter.tkinter.dooneevent,
+                       d_w=Tkinter.tkinter.DONT_WAIT):
+    _canvas.delete(x)
+    d_o_e(d_w)
+
+def _adjust_coords(coord_list, x, y):
+    for i in range(0, len(coord_list), 2):
+        coord_list[i] = coord_list[i] + x
+        coord_list[i + 1] = coord_list[i + 1] + y
+    return coord_list
+
+def move_to(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT):
+    if y is None:
+        try: x, y = x
+        except: raise  'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    current_x, current_y = _canvas.coords(object)[0:2] # first point
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x - current_x
+        else:
+            inc = y - current_y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+
+def move_by(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT, lift=False):
+    if y is None:
+        try: x, y = x
+        except: raise Exception, 'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x
+        else:
+            inc = y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+    if lift:
+        _canvas.tag_raise(object)
+
+def writePostscript(filename):
+    "Writes the current canvas to a postscript file."
+    psfile = file(filename, 'w')
+    psfile.write(_canvas.postscript(pageanchor='sw',
+                     y='0.c',
+                     x='0.c'))
+    psfile.close()
+
+ghost_shape = [
+    (0, - 0.5),
+    (0.25, - 0.75),
+    (0.5, - 0.5),
+    (0.75, - 0.75),
+    (0.75, 0.5),
+    (0.5, 0.75),
+    (- 0.5, 0.75),
+    (- 0.75, 0.5),
+    (- 0.75, - 0.75),
+    (- 0.5, - 0.5),
+    (- 0.25, - 0.75)
+  ]
+
+if __name__ == '__main__':
+    begin_graphics()
+    clear_screen()
+    ghost_shape = [(x * 10 + 20, y * 10 + 20) for x, y in ghost_shape]
+    g = polygon(ghost_shape, formatColor(1, 1, 1))
+    move_to(g, (50, 50))
+    circle((150, 150), 20, formatColor(0.7, 0.3, 0.0), endpoints=[15, - 15])
+    sleep(2)
diff --git a/cs188-projects-master/P2 Multi-Agent Search/graphicsUtils.pyc b/cs188-projects-master/P2 Multi-Agent Search/graphicsUtils.pyc
new file mode 100644
index 0000000..14fa040
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/graphicsUtils.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/keyboardAgents.py b/cs188-projects-master/P2 Multi-Agent Search/keyboardAgents.py
new file mode 100644
index 0000000..c7d9fcf
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/keyboardAgents.py	
@@ -0,0 +1,84 @@
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+import random
+
+class KeyboardAgent(Agent):
+    """
+    An agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'a'
+    EAST_KEY  = 'd'
+    NORTH_KEY = 'w'
+    SOUTH_KEY = 's'
+    STOP_KEY = 'q'
+
+    def __init__( self, index = 0 ):
+
+        self.lastMove = Directions.STOP
+        self.index = index
+        self.keys = []
+
+    def getAction( self, state):
+        from graphicsUtils import keys_waiting
+        from graphicsUtils import keys_pressed
+        keys = keys_waiting() + keys_pressed()
+        if keys != []:
+            self.keys = keys
+
+        legal = state.getLegalActions(self.index)
+        move = self.getMove(legal)
+
+        if move == Directions.STOP:
+            # Try to move in the same direction as before
+            if self.lastMove in legal:
+                move = self.lastMove
+
+        if (self.STOP_KEY in self.keys) and Directions.STOP in legal: move = Directions.STOP
+
+        if move not in legal:
+            move = random.choice(legal)
+
+        self.lastMove = move
+        return move
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys or 'Left' in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys or 'Right' in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys or 'Up' in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys or 'Down' in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
+
+class KeyboardAgent2(KeyboardAgent):
+    """
+    A second agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'j'
+    EAST_KEY  = "l"
+    NORTH_KEY = 'i'
+    SOUTH_KEY = 'k'
+    STOP_KEY = 'u'
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
diff --git a/cs188-projects-master/P2 Multi-Agent Search/keyboardAgents.pyc b/cs188-projects-master/P2 Multi-Agent Search/keyboardAgents.pyc
new file mode 100644
index 0000000..b69a0c9
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/keyboardAgents.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layout.py b/cs188-projects-master/P2 Multi-Agent Search/layout.py
new file mode 100644
index 0000000..c6b377d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layout.py	
@@ -0,0 +1,149 @@
+# layout.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Grid
+import os
+import random
+
+VISIBILITY_MATRIX_CACHE = {}
+
+class Layout:
+    """
+    A Layout manages the static information about the game board.
+    """
+
+    def __init__(self, layoutText):
+        self.width = len(layoutText[0])
+        self.height= len(layoutText)
+        self.walls = Grid(self.width, self.height, False)
+        self.food = Grid(self.width, self.height, False)
+        self.capsules = []
+        self.agentPositions = []
+        self.numGhosts = 0
+        self.processLayoutText(layoutText)
+        self.layoutText = layoutText
+        self.totalFood = len(self.food.asList())
+        # self.initializeVisibilityMatrix()
+
+    def getNumGhosts(self):
+        return self.numGhosts
+
+    def initializeVisibilityMatrix(self):
+        global VISIBILITY_MATRIX_CACHE
+        if reduce(str.__add__, self.layoutText) not in VISIBILITY_MATRIX_CACHE:
+            from game import Directions
+            vecs = [(-0.5,0), (0.5,0),(0,-0.5),(0,0.5)]
+            dirs = [Directions.NORTH, Directions.SOUTH, Directions.WEST, Directions.EAST]
+            vis = Grid(self.width, self.height, {Directions.NORTH:set(), Directions.SOUTH:set(), Directions.EAST:set(), Directions.WEST:set(), Directions.STOP:set()})
+            for x in range(self.width):
+                for y in range(self.height):
+                    if self.walls[x][y] == False:
+                        for vec, direction in zip(vecs, dirs):
+                            dx, dy = vec
+                            nextx, nexty = x + dx, y + dy
+                            while (nextx + nexty) != int(nextx) + int(nexty) or not self.walls[int(nextx)][int(nexty)] :
+                                vis[x][y][direction].add((nextx, nexty))
+                                nextx, nexty = x + dx, y + dy
+            self.visibility = vis
+            VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)] = vis
+        else:
+            self.visibility = VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)]
+
+    def isWall(self, pos):
+        x, col = pos
+        return self.walls[x][col]
+
+    def getRandomLegalPosition(self):
+        x = random.choice(range(self.width))
+        y = random.choice(range(self.height))
+        while self.isWall( (x, y) ):
+            x = random.choice(range(self.width))
+            y = random.choice(range(self.height))
+        return (x,y)
+
+    def getRandomCorner(self):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        return random.choice(poses)
+
+    def getFurthestCorner(self, pacPos):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        dist, pos = max([(manhattanDistance(p, pacPos), p) for p in poses])
+        return pos
+
+    def isVisibleFrom(self, ghostPos, pacPos, pacDirection):
+        row, col = [int(x) for x in pacPos]
+        return ghostPos in self.visibility[row][col][pacDirection]
+
+    def __str__(self):
+        return "\n".join(self.layoutText)
+
+    def deepCopy(self):
+        return Layout(self.layoutText[:])
+
+    def processLayoutText(self, layoutText):
+        """
+        Coordinates are flipped from the input format to the (x,y) convention here
+
+        The shape of the maze.  Each character
+        represents a different type of object.
+         % - Wall
+         . - Food
+         o - Capsule
+         G - Ghost
+         P - Pacman
+        Other characters are ignored.
+        """
+        maxY = self.height - 1
+        for y in range(self.height):
+            for x in range(self.width):
+                layoutChar = layoutText[maxY - y][x]
+                self.processLayoutChar(x, y, layoutChar)
+        self.agentPositions.sort()
+        self.agentPositions = [ ( i == 0, pos) for i, pos in self.agentPositions]
+
+    def processLayoutChar(self, x, y, layoutChar):
+        if layoutChar == '%':
+            self.walls[x][y] = True
+        elif layoutChar == '.':
+            self.food[x][y] = True
+        elif layoutChar == 'o':
+            self.capsules.append((x, y))
+        elif layoutChar == 'P':
+            self.agentPositions.append( (0, (x, y) ) )
+        elif layoutChar in ['G']:
+            self.agentPositions.append( (1, (x, y) ) )
+            self.numGhosts += 1
+        elif layoutChar in  ['1', '2', '3', '4']:
+            self.agentPositions.append( (int(layoutChar), (x,y)))
+            self.numGhosts += 1
+def getLayout(name, back = 2):
+    if name.endswith('.lay'):
+        layout = tryToLoad('layouts/' + name)
+        if layout == None: layout = tryToLoad(name)
+    else:
+        layout = tryToLoad('layouts/' + name + '.lay')
+        if layout == None: layout = tryToLoad(name + '.lay')
+    if layout == None and back >= 0:
+        curdir = os.path.abspath('.')
+        os.chdir('..')
+        layout = getLayout(name, back -1)
+        os.chdir(curdir)
+    return layout
+
+def tryToLoad(fullname):
+    if(not os.path.exists(fullname)): return None
+    f = open(fullname)
+    try: return Layout([line.strip() for line in f])
+    finally: f.close()
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layout.pyc b/cs188-projects-master/P2 Multi-Agent Search/layout.pyc
new file mode 100644
index 0000000..9b41d37
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/layout.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/capsuleClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/capsuleClassic.lay
new file mode 100644
index 0000000..06a5c51
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/capsuleClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%
+%G.       G   ....%
+%.% % %%%%%% %.%%.%
+%.%o% %   o% %.o%.%
+%.%%%.%  %%% %..%.%
+%.....  P    %..%G%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/contestClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/contestClassic.lay
new file mode 100644
index 0000000..84c8733
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/contestClassic.lay	
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%...... G GG%......%
+%.%.%%.%% %%%.%%.%.%
+%.%....% ooo%.%..%.%
+%.%.%%.% %% %.%.%%.%
+%o%......P....%....%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/mediumClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/mediumClassic.lay
new file mode 100644
index 0000000..33c5db8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/mediumClassic.lay	
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%....%
+%.%%.%.%%%%%%.%.%%.%
+%.%..............%.%
+%.%.%%.%%  %%.%%.%.%
+%......%G  G%......%
+%.%.%%.%%%%%%.%%.%.%
+%.%..............%.%
+%.%%.%.%%%%%%.%.%%.%
+%....%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/minimaxClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/minimaxClassic.lay
new file mode 100644
index 0000000..a547397
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/minimaxClassic.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%%
+%.P    G% 
+% %.%G%%%  
+%G    %%% 
+%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/openClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/openClassic.lay
new file mode 100644
index 0000000..6760b42
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/openClassic.lay	
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%
+%.. P  ....      ....   %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      .... G %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      ....  o%
+%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/originalClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/originalClassic.lay
new file mode 100644
index 0000000..b2770c5
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/originalClassic.lay	
@@ -0,0 +1,27 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o%%%%.%%%%%.%%.%%%%%.%%%%o%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%..........................%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%......%%....%%....%%......%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%  %%%% %.%%%%%%
+%     .  %G  GG  G%  .     %
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o..%%.......  .......%%..o%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%......%%....%%....%%......%
+%.%%%%%%%%%%.%%.%%%%%%%%%%.%
+%.............P............%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/powerClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/powerClassic.lay
new file mode 100644
index 0000000..3f3d983
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/powerClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%o....o%GGGG%o....o%
+%..%...%%  %%...%..%
+%.%o.%........%.o%.%
+%.o%.%.%%%%%%.%.%o.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/smallClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/smallClassic.lay
new file mode 100644
index 0000000..ce6c1d9
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/smallClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/testClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/testClassic.lay
new file mode 100644
index 0000000..4b3ffca
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/testClassic.lay	
@@ -0,0 +1,10 @@
+%%%%%
+% . %
+%.G.%
+% . %
+%. .%
+%   %
+%  .%
+%   %
+%P .%
+%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/trappedClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/trappedClassic.lay
new file mode 100644
index 0000000..289557f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/trappedClassic.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%
+%   P G%
+%G%%%%%%
+%....  %
+%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/layouts/trickyClassic.lay b/cs188-projects-master/P2 Multi-Agent Search/layouts/trickyClassic.lay
new file mode 100644
index 0000000..ffa156c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/layouts/trickyClassic.lay	
@@ -0,0 +1,13 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%.%.....%..%.....%.%
+%.%.%%.%%  %%.%%.%.%
+%...... GGGG%.%....%
+%.%....%%%%%%.%..%.%
+%.%....%  oo%.%..%.%
+%.%....% %%%%.%..%.%
+%.%...........%..%.%
+%.%%.%.%%%%%%.%.%%.%
+%o...%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P2 Multi-Agent Search/multiAgents.py b/cs188-projects-master/P2 Multi-Agent Search/multiAgents.py
new file mode 100644
index 0000000..bc96fa5
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/multiAgents.py	
@@ -0,0 +1,370 @@
+# multiAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Directions
+import random, util
+
+from game import Agent
+
+class ReflexAgent(Agent):
+    """
+      A reflex agent chooses an action at each choice point by examining
+      its alternatives via a state evaluation function.
+
+      The code below is provided as a guide.  You are welcome to change
+      it in any way you see fit, so long as you don't touch our method
+      headers.
+    """
+
+
+    def getAction(self, gameState):
+        """
+        You do not need to change this method, but you're welcome to.
+
+        getAction chooses among the best options according to the evaluation function.
+
+        Just like in the previous project, getAction takes a GameState and returns
+        some Directions.X for some X in the set {North, South, West, East, Stop}
+        """
+        # Collect legal moves and successor states
+        legalMoves = gameState.getLegalActions()
+
+        # Choose one of the best actions
+        scores = [self.evaluationFunction(gameState, action) for action in legalMoves]
+        bestScore = max(scores)
+        bestIndices = [index for index in range(len(scores)) if scores[index] == bestScore]
+        chosenIndex = random.choice(bestIndices) # Pick randomly among the best
+
+        "Add more of your code here if you want to"
+
+        return legalMoves[chosenIndex]
+
+    def evaluationFunction(self, currentGameState, action):
+        """
+        Design a better evaluation function here.
+
+        The evaluation function takes in the current and proposed successor
+        GameStates (pacman.py) and returns a number, where higher numbers are better.
+
+        The code below extracts some useful information from the state, like the
+        remaining food (newFood) and Pacman position after moving (newPos).
+        newScaredTimes holds the number of moves that each ghost will remain
+        scared because of Pacman having eaten a power pellet.
+
+        Print out these variables to see what you're getting, then combine them
+        to create a masterful evaluation function.
+        """
+        # Useful information you can extract from a GameState (pacman.py)
+        successorGameState = currentGameState.generatePacmanSuccessor(action)
+        newPos = successorGameState.getPacmanPosition()
+        newFood = successorGameState.getFood()
+        newGhostStates = successorGameState.getGhostStates()
+        newScaredTimes = [ghostState.scaredTimer for ghostState in newGhostStates]
+        "*** YOUR CODE HERE ***"
+
+        foodsPos = newFood.asList()
+        foodsPos = sorted(foodsPos, key = lambda pos: manhattanDistance(newPos, pos))
+        closestFoodDist = 0
+        if len(foodsPos) > 0:
+          closestFoodDist = manhattanDistance(foodsPos[0], newPos)
+
+        foodCount = successorGameState.getNumFood()
+        foodFeature = - closestFoodDist - 15*foodCount
+
+        activeGhostsPos = []
+        for ghost in newGhostStates:
+          if ghost.scaredTimer == 0:
+            activeGhostsPos.append(ghost.getPosition())
+        activeGhostsPos = sorted(activeGhostsPos, key = lambda pos: manhattanDistance(pos, newPos))
+        closestActiveGhostDist = 0
+        if len(activeGhostsPos) > 0:
+          closestActiveGhostDist = manhattanDistance(activeGhostsPos[0], newPos)
+        return closestActiveGhostDist + foodFeature
+
+def scoreEvaluationFunction(currentGameState):
+    """
+      This default evaluation function just returns the score of the state.
+      The score is the same one displayed in the Pacman GUI.
+
+      This evaluation function is meant for use with adversarial search agents
+      (not reflex agents).
+    """
+    return currentGameState.getScore()
+
+class MultiAgentSearchAgent(Agent):
+    """
+      This class provides some common elements to all of your
+      multi-agent searchers.  Any methods defined here will be available
+      to the MinimaxPacmanAgent, AlphaBetaPacmanAgent & ExpectimaxPacmanAgent.
+
+      You *do not* need to make any changes here, but you can if you want to
+      add functionality to all your adversarial search agents.  Please do not
+      remove anything, however.
+
+      Note: this is an abstract class: one that should not be instantiated.  It's
+      only partially specified, and designed to be extended.  Agent (game.py)
+      is another abstract class.
+    """
+
+    def __init__(self, evalFn = 'scoreEvaluationFunction', depth = '2'):
+        self.index = 0 # Pacman is always agent index 0
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        self.depth = int(depth)
+
+class MinimaxAgent(MultiAgentSearchAgent):
+    """
+      Your minimax agent (question 2)
+    """
+
+    def getAction(self, gameState):
+        """
+          Returns the minimax action from the current gameState using self.depth
+          and self.evaluationFunction.
+
+          Here are some method calls that might be useful when implementing minimax.
+
+          gameState.getLegalActions(agentIndex):
+            Returns a list of legal actions for an agent
+            agentIndex=0 means Pacman, ghosts are >= 1
+
+          gameState.generateSuccessor(agentIndex, action):
+            Returns the successor game state after an agent takes an action
+
+          gameState.getNumAgents():
+            Returns the total number of agents in the game
+
+          gameState.isWin():
+            Returns whether or not the game state is a winning state
+
+          gameState.isLose():
+            Returns whether or not the game state is a losing state
+        """
+        "*** YOUR CODE HERE ***"
+        numGhosts = gameState.getNumAgents() - 1
+        return self.maximize(gameState, 1, numGhosts)
+
+    def maximize(self, gameState, depth, numGhosts):
+        """
+          maximizing agent in minimax
+        """
+        if gameState.isWin() or gameState.isLose():
+          return self.evaluationFunction(gameState)
+        maxVal = float("-inf")
+        best_action = Directions.STOP
+        for action in gameState.getLegalActions(0):
+          successor = gameState.generateSuccessor(0, action)
+          tempVal = self.minimize(successor, depth, 1, numGhosts)
+          if tempVal > maxVal:
+            maxVal = tempVal
+            best_action = action
+
+        # terminal max returns actions whereas intermediate max returns values
+        if depth > 1:
+          return maxVal
+        return best_action
+
+    def minimize(self, gameState, depth, agentIndex, numGhosts):
+        """
+          minimizing agent in minimax 
+        """
+        if gameState.isWin() or gameState.isLose():
+          return self.evaluationFunction(gameState)
+        minVal = float("inf")
+        legalActions = gameState.getLegalActions(agentIndex)
+        successors = [gameState.generateSuccessor(agentIndex, action) for action in legalActions]
+        if agentIndex == numGhosts:
+          if depth < self.depth:
+            for successor in successors:
+              minVal = min(minVal, self.maximize(successor, depth + 1, numGhosts))
+          else:
+            for successor in successors:
+              minVal = min(minVal, self.evaluationFunction(successor))
+        else:
+          for successor in successors:
+            minVal = min(minVal, self.minimize(successor, depth, agentIndex + 1, numGhosts))
+        return minVal
+
+class AlphaBetaAgent(MultiAgentSearchAgent):
+    """
+      Your minimax agent with alpha-beta pruning (question 3)
+    """
+    def maximize(self, gameState, depth, numGhosts, alpha, beta):
+        """
+          maximizing agent with alpha-beta pruning
+        """
+        if gameState.isWin() or gameState.isLose():
+          return self.evaluationFunction(gameState)
+        maxVal = float("-inf")
+        best_action = Directions.STOP
+        for action in gameState.getLegalActions(0):
+          successor = gameState.generateSuccessor(0, action)
+          tempVal = self.minimize(successor, depth, 1, numGhosts, alpha, beta)
+          if tempVal > maxVal:
+            maxVal = tempVal
+            best_action = action
+
+          # prune 
+          if maxVal > beta:
+            return maxVal
+          alpha = max(alpha, maxVal)
+
+        # terminal max returns actions whereas intermediate max returns values
+        if depth > 1:
+          return maxVal
+        return best_action
+
+
+    def minimize(self, gameState, depth, agentIndex, numGhosts, alpha, beta):
+        """
+          minimizing agent with alpha-beta pruning
+        """
+        if gameState.isWin() or gameState.isLose():
+          return self.evaluationFunction(gameState)
+        minVal = float("inf")
+        for action in gameState.getLegalActions(agentIndex):
+          successor = gameState.generateSuccessor(agentIndex, action)
+          if agentIndex == numGhosts:
+            if depth < self.depth:
+              tempVal = self.maximize(successor, depth + 1, numGhosts, alpha, beta)
+            else:
+              tempVal = self.evaluationFunction(successor)
+          else:
+            tempVal = self.minimize(successor, depth, agentIndex + 1, numGhosts, alpha, beta)
+          if tempVal < minVal:
+            minVal = tempVal
+
+          # prune
+          if minVal < alpha:
+            return minVal
+          beta = min(beta, minVal)
+        return minVal
+
+    def getAction(self, gameState):
+        """
+          Returns the minimax action using self.depth and self.evaluationFunction
+        """
+        "*** YOUR CODE HERE ***"
+        numGhosts = gameState.getNumAgents() - 1
+        return self.maximize(gameState, 1, numGhosts, float("-inf"), float("inf"))
+
+class ExpectimaxAgent(MultiAgentSearchAgent):
+    """
+      Your expectimax agent (question 4)
+    """
+
+    def getAction(self, gameState):
+        """
+          Returns the expectimax action using self.depth and self.evaluationFunction
+
+          All ghosts should be modeled as choosing uniformly at random from their
+          legal moves.
+        """
+        "*** YOUR CODE HERE ***"
+        numGhosts = gameState.getNumAgents() - 1
+        return self.maximize(gameState, 1, numGhosts)
+
+    def maximize(self, gameState, depth, numGhosts):
+        """
+          maximizing agent in expectimax
+        """
+        if gameState.isWin() or gameState.isLose():
+          return self.evaluationFunction(gameState)
+        maxVal = float("-inf")
+        best_action = Directions.STOP
+        for action in gameState.getLegalActions(0):
+          successor = gameState.generateSuccessor(0, action)
+          tempVal = self.getExpectedValue(successor, depth, 1, numGhosts)
+          if tempVal > maxVal:
+            maxVal = tempVal
+            best_action = action
+
+        # terminal max returns actions whereas intermediate max returns values
+        if depth > 1:
+          return maxVal
+        return best_action
+
+    def getExpectedValue(self, gameState, depth, agentIndex, numGhosts):
+        """
+          minimizing agent in minimax 
+        """
+        if gameState.isWin() or gameState.isLose():
+          return self.evaluationFunction(gameState)
+        legalActions = gameState.getLegalActions(agentIndex)
+        successors = [gameState.generateSuccessor(agentIndex, action) for action in legalActions]
+        
+        expectedValue = 0
+        successor_prob = 1.0 / len(legalActions)
+        if agentIndex == numGhosts:
+          if depth < self.depth:
+            for successor in successors:
+              expectedValue += successor_prob * self.maximize(successor, depth + 1, numGhosts)
+          else:
+            for successor in successors:
+              expectedValue += successor_prob * self.evaluationFunction(successor)
+        else:
+          for successor in successors:
+            expectedValue += successor_prob * self.getExpectedValue(successor, depth, agentIndex + 1, numGhosts)
+        return expectedValue
+
+
+def betterEvaluationFunction(currentGameState):
+    """
+      Your extreme ghost-hunting, pellet-nabbing, food-gobbling, unstoppable
+      evaluation function (question 5).
+
+      DESCRIPTION: 
+    """
+    "*** YOUR CODE HERE ***"
+    # from searchAgents import mazeDistance
+    # food = currentGameState.getFood()
+    ghostStates = currentGameState.getGhostStates()
+    pac_pos = currentGameState.getPacmanPosition()
+    foodcount = currentGameState.getNumFood()
+    currentGameScore = currentGameState.getScore()
+    num_capsules = len(currentGameState.getCapsules())
+
+    food = currentGameState.getFood()
+    foodsPos = food.asList()
+    foodsPos = sorted(foodsPos, key = lambda pos: manhattanDistance(pac_pos, pos))
+    closestFoodDist = 0
+    if len(foodsPos) > 0:
+      closestFoodDist = manhattanDistance(foodsPos[0], pac_pos)
+
+    # evaluate the current state of the ghosts
+    nearestGhostDistance = float("inf")
+    ghostEval = 0
+    for ghost in ghostStates:
+      ghostPosition = ghost.getPosition()
+      md = manhattanDistance(pac_pos, ghostPosition)
+      if ghost.scaredTimer == 0:
+        if md < nearestGhostDistance:
+          nearestGhostDistance = md
+      elif ghost.scaredTimer > md:
+        ghostEval += 200 - md
+
+    if nearestGhostDistance == float("inf"):
+      nearestGhostDistance = 0
+    ghostEval += nearestGhostDistance
+
+    return currentGameScore - 10 * foodcount + 1 * ghostEval + 2 * num_capsules - 2 * closestFoodDist
+
+# Abbreviation
+better = betterEvaluationFunction
+
+
+
+
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/multiAgents.pyc b/cs188-projects-master/P2 Multi-Agent Search/multiAgents.pyc
new file mode 100644
index 0000000..2942526
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/multiAgents.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/multiagentTestClasses.py b/cs188-projects-master/P2 Multi-Agent Search/multiagentTestClasses.py
new file mode 100644
index 0000000..2bea859
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/multiagentTestClasses.py	
@@ -0,0 +1,529 @@
+# multiagentTestClasses.py
+# ------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# A minimax tree which interfaces like gameState
+#     state.getNumAgents()
+#     state.isWin()
+#     state.isLose()
+#     state.generateSuccessor(agentIndex, action)
+#     state.getScore()
+#           used by multiAgents.scoreEvaluationFunction, which is the default
+#
+import testClasses
+import json
+
+from collections import defaultdict
+from pprint import PrettyPrinter
+pp = PrettyPrinter()
+
+from game import Agent
+from pacman import GameState
+from ghostAgents import RandomGhost, DirectionalGhost
+import random, math, traceback, sys, os
+import layout, pacman
+import autograder
+# import grading
+
+VERBOSE = False
+
+class MultiagentTreeState(object):
+    def __init__(self, problem, state):
+        self.problem = problem
+        self.state = state
+
+    def generateSuccessor(self, agentIndex, action):
+        if VERBOSE:
+            print "generateSuccessor(%s, %s, %s) -> %s" % (self.state, agentIndex, action, self.problem.stateToSuccessorMap[self.state][action])
+        successor = self.problem.stateToSuccessorMap[self.state][action]
+        self.problem.generatedStates.add(successor)
+        return MultiagentTreeState(self.problem, successor)
+
+    def getScore(self):
+        if VERBOSE:
+            print "getScore(%s) -> %s" % (self.state, self.problem.evaluation[self.state])
+        if self.state not in self.problem.evaluation:
+            raise Exception('getScore() called on non-terminal state or before maximum depth achieved.')
+        return float(self.problem.evaluation[self.state])
+
+    def getLegalActions(self, agentIndex=0):
+        if VERBOSE:
+            print "getLegalActions(%s) -> %s" % (self.state, self.problem.stateToActions[self.state])
+        #if len(self.problem.stateToActions[self.state]) == 0:
+        #    print "WARNING: getLegalActions called on leaf state %s" % (self.state,)
+        return list(self.problem.stateToActions[self.state])
+
+    def isWin(self):
+        if VERBOSE:
+            print "isWin(%s) -> %s" % (self.state, self.state in self.problem.winStates)
+        return self.state in self.problem.winStates
+
+    def isLose(self):
+        if VERBOSE:
+            print "isLose(%s) -> %s" % (self.state, self.state in self.problem.loseStates)
+        return self.state in self.problem.loseStates
+
+    def getNumAgents(self):
+        if VERBOSE:
+            print "getNumAgents(%s) -> %s" % (self.state, self.problem.numAgents)
+        return self.problem.numAgents
+
+
+class MultiagentTreeProblem(object):
+    def __init__(self, numAgents, startState, winStates, loseStates, successors, evaluation):
+        self.startState = MultiagentTreeState(self, startState)
+
+        self.numAgents = numAgents
+        self.winStates = winStates
+        self.loseStates = loseStates
+        self.evaluation = evaluation
+        self.successors = successors
+
+        self.reset()
+
+        self.stateToSuccessorMap = defaultdict(dict)
+        self.stateToActions = defaultdict(list)
+        for state, action, nextState in successors:
+            self.stateToActions[state].append(action)
+            self.stateToSuccessorMap[state][action] = nextState
+
+    def reset(self):
+        self.generatedStates = set([self.startState.state])
+
+
+def parseTreeProblem(testDict):
+    numAgents = int(testDict["num_agents"])
+    startState = testDict["start_state"]
+    winStates = set(testDict["win_states"].split(" "))
+    loseStates = set(testDict["lose_states"].split(" "))
+    successors = []
+
+    evaluation = {}
+    for line in testDict["evaluation"].split('\n'):
+        tokens = line.split()
+        if len(tokens) == 2:
+            state, value = tokens
+            evaluation[state] = float(value)
+        else:
+            raise Exception, "[parseTree] Bad evaluation line: |%s|" % (line,)
+
+    for line in testDict["successors"].split('\n'):
+        tokens = line.split()
+        if len(tokens) == 3:
+            state, action, nextState = tokens
+            successors.append((state, action, nextState))
+        else:
+            raise Exception, "[parseTree] Bad successor line: |%s|" % (line,)
+
+    return MultiagentTreeProblem(numAgents, startState, winStates, loseStates, successors, evaluation)
+
+
+
+def run(lay, layName, pac, ghosts, disp, nGames=1, name='games'):
+    """
+    Runs a few games and outputs their statistics.
+    """
+    starttime = time.time()
+    print '*** Running %s on' % name, layName, '%d time(s).' % nGames
+    games = pacman.runGames(lay, pac, ghosts, disp, nGames, False, catchExceptions=True, timeout=120)
+    print '*** Finished running %s on' % name, layName, 'after %d seconds.' % (time.time() - starttime)
+    stats = {'time': time.time() - starttime, 'wins': [g.state.isWin() for g in games].count(True), 'games': games, 'scores': [g.state.getScore() for g in games],
+             'timeouts': [g.agentTimeout for g in games].count(True), 'crashes': [g.agentCrashed for g in games].count(True)}
+    print '*** Won %d out of %d games. Average score: %f ***' % (stats['wins'], len(games), sum(stats['scores']) * 1.0 / len(games))
+    return stats
+
+class GradingAgent(Agent):
+    def __init__(self, seed, studentAgent, optimalActions, altDepthActions, partialPlyBugActions):
+        # save student agent and actions of refernce agents
+        self.studentAgent = studentAgent
+        self.optimalActions = optimalActions
+        self.altDepthActions = altDepthActions
+        self.partialPlyBugActions = partialPlyBugActions
+        # create fields for storing specific wrong actions
+        self.suboptimalMoves = []
+        self.wrongStatesExplored = -1
+        # boolean vectors represent types of implementation the student could have
+        self.actionsConsistentWithOptimal = [True for i in range(len(optimalActions[0]))]
+        self.actionsConsistentWithAlternativeDepth = [True for i in range(len(altDepthActions[0]))]
+        self.actionsConsistentWithPartialPlyBug = [True for i in range(len(partialPlyBugActions[0]))]
+        # keep track of elapsed moves
+        self.stepCount = 0
+        self.seed = seed
+
+    def registerInitialState(self, state):
+        if 'registerInitialState' in dir(self.studentAgent):
+            self.studentAgent.registerInitialState(state)
+        random.seed(self.seed)
+
+    def getAction(self, state):
+        GameState.getAndResetExplored()
+        studentAction = (self.studentAgent.getAction(state), len(GameState.getAndResetExplored()))
+        optimalActions = self.optimalActions[self.stepCount]
+        altDepthActions = self.altDepthActions[self.stepCount]
+        partialPlyBugActions = self.partialPlyBugActions[self.stepCount]
+        studentOptimalAction = False
+        curRightStatesExplored = False;
+        for i in range(len(optimalActions)):
+            if studentAction[0] in optimalActions[i][0]:
+                studentOptimalAction = True
+            else:
+                self.actionsConsistentWithOptimal[i] = False
+            if studentAction[1] == int(optimalActions[i][1]):
+                curRightStatesExplored = True
+        if not curRightStatesExplored and self.wrongStatesExplored < 0:
+            self.wrongStatesExplored = 1
+        for i in range(len(altDepthActions)):
+            if studentAction[0] not in altDepthActions[i]:
+                self.actionsConsistentWithAlternativeDepth[i] = False
+        for i in range(len(partialPlyBugActions)):
+            if studentAction[0] not in partialPlyBugActions[i]:
+                self.actionsConsistentWithPartialPlyBug[i] = False
+        if not studentOptimalAction:
+            self.suboptimalMoves.append((state, studentAction[0], optimalActions[0][0][0]))
+        self.stepCount += 1
+        random.seed(self.seed + self.stepCount)
+        return optimalActions[0][0][0]
+
+    def getSuboptimalMoves(self):
+        return self.suboptimalMoves
+
+    def getWrongStatesExplored(self):
+        return self.wrongStatesExplored
+
+    def checkFailure(self):
+        """
+        Return +n if have n suboptimal moves.
+        Return -1 if have only off by one depth moves.
+        Return 0 otherwise.
+        """
+        if self.wrongStatesExplored > 0:
+            return -3
+        if self.actionsConsistentWithOptimal.count(True) > 0:
+            return 0
+        elif self.actionsConsistentWithPartialPlyBug.count(True) > 0:
+            return -2
+        elif self.actionsConsistentWithAlternativeDepth.count(True) > 0:
+            return -1
+        else:
+            return len(self.suboptimalMoves)
+
+
+class PolyAgent(Agent):
+    def __init__(self, seed, multiAgents, ourPacOptions, depth):
+        # prepare our pacman agents
+        solutionAgents, alternativeDepthAgents, partialPlyBugAgents = self.construct_our_pacs(multiAgents, ourPacOptions)
+        for p in solutionAgents:
+            p.depth = depth
+        for p in partialPlyBugAgents:
+            p.depth = depth
+        for p in alternativeDepthAgents[:2]:
+            p.depth = max(1, depth - 1)
+        for p in alternativeDepthAgents[2:]:
+            p.depth = depth + 1
+        self.solutionAgents = solutionAgents
+        self.alternativeDepthAgents = alternativeDepthAgents
+        self.partialPlyBugAgents = partialPlyBugAgents
+        # prepare fields for storing the results
+        self.optimalActionLists = []
+        self.alternativeDepthLists = []
+        self.partialPlyBugLists = []
+        self.seed = seed
+        self.stepCount = 0
+
+    def select(self, list, indices):
+        """
+        Return a sublist of elements given by indices in list.
+        """
+        return [list[i] for i in indices]
+
+    def construct_our_pacs(self, multiAgents, keyword_dict):
+        pacs_without_stop = [multiAgents.StaffMultiAgentSearchAgent(**keyword_dict) for i in range(3)]
+        keyword_dict['keepStop'] = 'True'
+        pacs_with_stop = [multiAgents.StaffMultiAgentSearchAgent(**keyword_dict) for i in range(3)]
+        keyword_dict['usePartialPlyBug'] = 'True'
+        partial_ply_bug_pacs = [multiAgents.StaffMultiAgentSearchAgent(**keyword_dict)]
+        keyword_dict['keepStop'] = 'False'
+        partial_ply_bug_pacs = partial_ply_bug_pacs + [multiAgents.StaffMultiAgentSearchAgent(**keyword_dict)]
+        for pac in pacs_with_stop + pacs_without_stop + partial_ply_bug_pacs:
+            pac.verbose = False
+        ourpac = [pacs_with_stop[0], pacs_without_stop[0]]
+        alternative_depth_pacs = self.select(pacs_with_stop + pacs_without_stop, [1, 4, 2, 5])
+        return (ourpac, alternative_depth_pacs, partial_ply_bug_pacs)
+
+    def registerInitialState(self, state):
+        for agent in self.solutionAgents + self.alternativeDepthAgents:
+            if 'registerInitialState' in dir(agent):
+                agent.registerInitialState(state)
+        random.seed(self.seed)
+
+    def getAction(self, state):
+        # survey agents
+        GameState.getAndResetExplored()
+        optimalActionLists = []
+        for agent in self.solutionAgents:
+            optimalActionLists.append((agent.getBestPacmanActions(state)[0], len(GameState.getAndResetExplored())))
+        alternativeDepthLists = [agent.getBestPacmanActions(state)[0] for agent in self.alternativeDepthAgents]
+        partialPlyBugLists = [agent.getBestPacmanActions(state)[0] for agent in self.partialPlyBugAgents]
+        # record responses
+        self.optimalActionLists.append(optimalActionLists)
+        self.alternativeDepthLists.append(alternativeDepthLists)
+        self.partialPlyBugLists.append(partialPlyBugLists)
+        self.stepCount += 1
+        random.seed(self.seed + self.stepCount)
+        return optimalActionLists[0][0][0]
+
+    def getTraces(self):
+        # return traces from individual agents
+        return (self.optimalActionLists, self.alternativeDepthLists, self.partialPlyBugLists)
+
+class PacmanGameTreeTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(PacmanGameTreeTest, self).__init__(question, testDict)
+        self.seed = int(self.testDict['seed'])
+        self.alg = self.testDict['alg']
+        self.layout_text = self.testDict['layout']
+        self.layout_name = self.testDict['layoutName']
+        self.depth = int(self.testDict['depth'])
+        self.max_points = int(self.testDict['max_points'])
+
+    def execute(self, grades, moduleDict, solutionDict):
+        # load student code and staff code solutions
+        multiAgents = moduleDict['multiAgents']
+        studentAgent = getattr(multiAgents, self.alg)(depth=self.depth)
+        allActions = map(lambda x: json.loads(x), solutionDict['optimalActions'].split('\n'))
+        altDepthActions = map(lambda x: json.loads(x), solutionDict['altDepthActions'].split('\n'))
+        partialPlyBugActions = map(lambda x: json.loads(x), solutionDict['partialPlyBugActions'].split('\n'))
+        # set up game state and play a game
+        random.seed(self.seed)
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        pac = GradingAgent(self.seed, studentAgent, allActions, altDepthActions, partialPlyBugActions)
+        # check return codes and assign grades
+        disp = self.question.getDisplay()
+        stats = run(lay, self.layout_name, pac, [DirectionalGhost(i + 1) for i in range(2)], disp, name=self.alg)
+        if stats['timeouts'] > 0:
+            self.addMessage('Agent timed out on smallClassic.  No credit')
+            return self.testFail(grades)
+        if stats['crashes'] > 0:
+            self.addMessage('Agent crashed on smallClassic.  No credit')
+            return self.testFail(grades)
+        code = pac.checkFailure()
+        if code == 0:
+            return self.testPass(grades)
+        elif code == -3:
+            if pac.getWrongStatesExplored() >=0:
+                self.addMessage('Bug: Wrong number of states expanded.')
+                return self.testFail(grades)
+            else:
+                return self.testPass(grades)
+        elif code == -2:
+            self.addMessage('Bug: Partial Ply Bug')
+            return self.testFail(grades)
+        elif code == -1:
+            self.addMessage('Bug: Search depth off by 1')
+            return self.testFail(grades)
+        elif code > 0:
+            moves = pac.getSuboptimalMoves()
+            state, studentMove, optMove = random.choice(moves)
+            self.addMessage('Bug: Suboptimal moves')
+            self.addMessage('State:%s\nStudent Move:%s\nOptimal Move:%s' % (state, studentMove, optMove))
+            return self.testFail(grades)
+
+    def writeList(self, handle, name, list):
+        handle.write('%s: """\n' % name)
+        for l in list:
+            handle.write('%s\n' % json.dumps(l))
+        handle.write('"""\n')
+
+    def writeSolution(self, moduleDict, filePath):
+        # load module, set seed, create ghosts and macman, run game
+        multiAgents = moduleDict['multiAgents']
+        random.seed(self.seed)
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        if self.alg == 'ExpectimaxAgent':
+            ourPacOptions = {'expectimax': 'True'}
+        elif self.alg == 'AlphaBetaAgent':
+            ourPacOptions = {'alphabeta': 'True'}
+        else:
+            ourPacOptions = {}
+        pac = PolyAgent(self.seed, multiAgents, ourPacOptions, self.depth)
+        disp = self.question.getDisplay()
+        run(lay, self.layout_name, pac, [DirectionalGhost(i + 1) for i in range(2)], disp, name=self.alg)
+        (optimalActions, altDepthActions, partialPlyBugActions) = pac.getTraces()
+        # recover traces and record to file
+        handle = open(filePath, 'w')
+        self.writeList(handle, 'optimalActions', optimalActions)
+        self.writeList(handle, 'altDepthActions', altDepthActions)
+        self.writeList(handle, 'partialPlyBugActions', partialPlyBugActions)
+        handle.close()
+
+
+
+class GraphGameTreeTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(GraphGameTreeTest, self).__init__(question, testDict)
+        self.problem = parseTreeProblem(testDict)
+        self.alg = self.testDict['alg']
+        self.diagram = self.testDict['diagram'].split('\n')
+        self.depth = int(self.testDict['depth'])
+
+    def solveProblem(self, multiAgents):
+        self.problem.reset()
+        studentAgent = getattr(multiAgents, self.alg)(depth=self.depth)
+        action = studentAgent.getAction(self.problem.startState)
+        generated = self.problem.generatedStates
+        return action, " ".join([str(s) for s in sorted(generated)])
+
+    def addDiagram(self):
+        self.addMessage('Tree:')
+        for line in self.diagram:
+            self.addMessage(line)
+
+    def execute(self, grades, moduleDict, solutionDict):
+        multiAgents = moduleDict['multiAgents']
+        goldAction = solutionDict['action']
+        goldGenerated = solutionDict['generated']
+        action, generated = self.solveProblem(multiAgents)
+
+        fail = False
+        if action != goldAction:
+            self.addMessage('Incorrect move for depth=%s' % (self.depth,))
+            self.addMessage('    Student move: %s\n    Optimal move: %s' % (action, goldAction))
+            fail = True
+
+        if generated != goldGenerated:
+            self.addMessage('Incorrect generated nodes for depth=%s' % (self.depth,))
+            self.addMessage('    Student generated nodes: %s\n    Correct generated nodes: %s' % (generated, goldGenerated))
+            fail = True
+
+        if fail:
+            self.addDiagram()
+            return self.testFail(grades)
+        else:
+            return self.testPass(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        multiAgents = moduleDict['multiAgents']
+        action, generated = self.solveProblem(multiAgents)
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            handle.write('action: "%s"\n' % (action,))
+            handle.write('generated: "%s"\n' % (generated,))
+        return True
+
+
+import time
+from util import TimeoutFunction
+
+
+class EvalAgentTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(EvalAgentTest, self).__init__(question, testDict)
+        self.layoutName = testDict['layoutName']
+        self.agentName = testDict['agentName']
+        self.ghosts = eval(testDict['ghosts'])
+        self.maxTime = int(testDict['maxTime'])
+        self.seed = int(testDict['randomSeed'])
+        self.numGames = int(testDict['numGames'])
+
+        self.scoreMinimum = int(testDict['scoreMinimum']) if 'scoreMinimum' in testDict else None
+        self.nonTimeoutMinimum = int(testDict['nonTimeoutMinimum']) if 'nonTimeoutMinimum' in testDict else None
+        self.winsMinimum = int(testDict['winsMinimum']) if 'winsMinimum' in testDict else None
+
+        self.scoreThresholds = [int(s) for s in testDict.get('scoreThresholds','').split()]
+        self.nonTimeoutThresholds = [int(s) for s in testDict.get('nonTimeoutThresholds','').split()]
+        self.winsThresholds = [int(s) for s in testDict.get('winsThresholds','').split()]
+
+        self.maxPoints = sum([len(t) for t in [self.scoreThresholds, self.nonTimeoutThresholds, self.winsThresholds]])
+        self.agentArgs = testDict.get('agentArgs', '')
+
+
+    def execute(self, grades, moduleDict, solutionDict):
+        startTime = time.time()
+
+        agentType = getattr(moduleDict['multiAgents'], self.agentName)
+        agentOpts = pacman.parseAgentArgs(self.agentArgs) if self.agentArgs != '' else {}
+        agent = agentType(**agentOpts)
+
+        lay = layout.getLayout(self.layoutName, 3)
+
+        disp = self.question.getDisplay()
+
+        random.seed(self.seed)
+        games = pacman.runGames(lay, agent, self.ghosts, disp, self.numGames, False, catchExceptions=True, timeout=self.maxTime)
+        totalTime = time.time() - startTime
+
+        stats = {'time': totalTime, 'wins': [g.state.isWin() for g in games].count(True),
+                 'games': games, 'scores': [g.state.getScore() for g in games],
+                 'timeouts': [g.agentTimeout for g in games].count(True), 'crashes': [g.agentCrashed for g in games].count(True)}
+
+        averageScore = sum(stats['scores']) / float(len(stats['scores']))
+        nonTimeouts = self.numGames - stats['timeouts']
+        wins = stats['wins']
+
+        def gradeThreshold(value, minimum, thresholds, name):
+            points = 0
+            passed = (minimum == None) or (value >= minimum)
+            if passed:
+                for t in thresholds:
+                    if value >= t:
+                        points += 1
+            return (passed, points, value, minimum, thresholds, name)
+
+        results = [gradeThreshold(averageScore, self.scoreMinimum, self.scoreThresholds, "average score"),
+                   gradeThreshold(nonTimeouts, self.nonTimeoutMinimum, self.nonTimeoutThresholds, "games not timed out"),
+                   gradeThreshold(wins, self.winsMinimum, self.winsThresholds, "wins")]
+
+        totalPoints = 0
+        for passed, points, value, minimum, thresholds, name in results:
+            if minimum == None and len(thresholds)==0:
+                continue
+
+            # print passed, points, value, minimum, thresholds, name
+            totalPoints += points
+            if not passed:
+                assert points == 0
+                self.addMessage("%s %s (fail: below minimum value %s)" % (value, name, minimum))
+            else:
+                self.addMessage("%s %s (%s of %s points)" % (value, name, points, len(thresholds)))
+
+            if minimum != None:
+                self.addMessage("    Grading scheme:")
+                self.addMessage("     < %s:  fail" % (minimum,))
+                if len(thresholds)==0 or minimum != thresholds[0]:
+                    self.addMessage("    >= %s:  0 points" % (minimum,))
+                for idx, threshold in enumerate(thresholds):
+                    self.addMessage("    >= %s:  %s points" % (threshold, idx+1))
+            elif len(thresholds) > 0:
+                self.addMessage("    Grading scheme:")
+                self.addMessage("     < %s:  0 points" % (thresholds[0],))
+                for idx, threshold in enumerate(thresholds):
+                    self.addMessage("    >= %s:  %s points" % (threshold, idx+1))
+
+        if any([not passed for passed, _, _, _, _, _ in results]):
+            totalPoints = 0
+
+        return self.testPartial(grades, totalPoints, self.maxPoints)
+
+    def writeSolution(self, moduleDict, filePath):
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+        handle.write('# File intentionally blank.\n')
+        handle.close()
+        return True
+
+
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/multiagentTestClasses.pyc b/cs188-projects-master/P2 Multi-Agent Search/multiagentTestClasses.pyc
new file mode 100644
index 0000000..17d79c1
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/multiagentTestClasses.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/pacman.py b/cs188-projects-master/P2 Multi-Agent Search/pacman.py
new file mode 100644
index 0000000..740451d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/pacman.py	
@@ -0,0 +1,684 @@
+# pacman.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Pacman.py holds the logic for the classic pacman game along with the main
+code to run a game.  This file is divided into three sections:
+
+  (i)  Your interface to the pacman world:
+          Pacman is a complex environment.  You probably don't want to
+          read through all of the code we wrote to make the game runs
+          correctly.  This section contains the parts of the code
+          that you will need to understand in order to complete the
+          project.  There is also some code in game.py that you should
+          understand.
+
+  (ii)  The hidden secrets of pacman:
+          This section contains all of the logic code that the pacman
+          environment uses to decide who can move where, who dies when
+          things collide, etc.  You shouldn't need to read this section
+          of code, but you can if you want.
+
+  (iii) Framework to start a game:
+          The final section contains the code for reading the command
+          you use to set up the game, then starting up a new game, along with
+          linking in all the external parts (agent functions, graphics).
+          Check this section out to see all the options available to you.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from util import nearestPoint
+from util import manhattanDistance
+import util, layout
+import sys, types, time, random, os
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    # static variable keeps track of which states have had getLegalActions called
+    explored = set()
+    def getAndResetExplored():
+        tmp = GameState.explored.copy()
+        GameState.explored = set()
+        return tmp
+    getAndResetExplored = staticmethod(getAndResetExplored)
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+#        GameState.explored.add(self)
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def generateSuccessor( self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+        else:
+            GhostRules.decrementTimer( state.data.agentStates[agentIndex] )
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+        GameState.explored.add(self)
+        GameState.explored.add(state)
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def generatePacmanSuccessor( self, action ):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getGhostStates( self ):
+        return self.data.agentStates[1:]
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0 or agentIndex >= self.getNumAgents():
+            raise Exception("Invalid index passed to getGhostState")
+        return self.data.agentStates[agentIndex]
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise Exception("Pacman's index passed to getGhostPosition")
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostPositions(self):
+        return [s.getPosition() for s in self.getGhostStates()]
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return float(self.data.score)
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is a wall at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+    def isLose( self ):
+        return self.data._lose
+
+    def isWin( self ):
+        return self.data._win
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None: # Initial state
+            self.data = GameStateData(prevState.data)
+        else:
+            self.data = GameStateData()
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return hasattr(other, 'data') and self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( self.data )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+SCARED_TIME = 40    # Moves ghosts are scared
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class ClassicGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+    def __init__(self, timeout=30):
+        self.timeout = timeout
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, quiet = False, catchExceptions=False):
+        agents = [pacmanAgent] + ghostAgents[:layout.getNumGhosts()]
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents) )
+        game = Game(agents, display, self, catchExceptions=catchExceptions)
+        game.state = initState
+        self.initialState = initState.deepCopy()
+        self.quiet = quiet
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        if not self.quiet: print "Pacman emerges victorious! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        if not self.quiet: print "Pacman died! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def getProgress(self, game):
+        return float(game.state.getNumFood()) / self.initialState.getNumFood()
+
+    def agentCrash(self, game, agentIndex):
+        if agentIndex == 0:
+            print "Pacman crashed"
+        else:
+            print "A ghost crashed"
+
+    def getMaxTotalTime(self, agentIndex):
+        return self.timeout
+
+    def getMaxStartupTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveWarningTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveTimeout(self, agentIndex):
+        return self.timeout
+
+    def getMaxTimeWarnings(self, agentIndex):
+        return 0
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    PACMAN_SPEED=1
+
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, PacmanRules.PACMAN_SPEED )
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint( next )
+        if manhattanDistance( nearest, next ) <= 0.5 :
+            # Remove food
+            PacmanRules.consume( nearest, state )
+    applyAction = staticmethod( applyAction )
+
+    def consume( position, state ):
+        x,y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+            # TODO: cache numFood?
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += 500
+                state.data._win = True
+        # Eat capsule
+        if( position in state.getCapsules() ):
+            state.data.capsules.remove( position )
+            state.data._capsuleEaten = position
+            # Reset all ghosts' scared timers
+            for index in range( 1, len( state.data.agentStates ) ):
+                state.data.agentStates[index].scaredTimer = SCARED_TIME
+    consume = staticmethod( consume )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    GHOST_SPEED=1.0
+    def getLegalActions( state, ghostIndex ):
+        """
+        Ghosts cannot stop, and cannot turn around unless they
+        reach a dead end, but can turn 90 degrees at intersections.
+        """
+        conf = state.getGhostState( ghostIndex ).configuration
+        possibleActions = Actions.getPossibleActions( conf, state.data.layout.walls )
+        reverse = Actions.reverseDirection( conf.direction )
+        if Directions.STOP in possibleActions:
+            possibleActions.remove( Directions.STOP )
+        if reverse in possibleActions and len( possibleActions ) > 1:
+            possibleActions.remove( reverse )
+        return possibleActions
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action, ghostIndex):
+
+        legal = GhostRules.getLegalActions( state, ghostIndex )
+        if action not in legal:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        speed = GhostRules.GHOST_SPEED
+        if ghostState.scaredTimer > 0: speed /= 2.0
+        vector = Actions.directionToVector( action, speed )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def decrementTimer( ghostState):
+        timer = ghostState.scaredTimer
+        if timer == 1:
+            ghostState.configuration.pos = nearestPoint( ghostState.configuration.pos )
+        ghostState.scaredTimer = max( 0, timer - 1 )
+    decrementTimer = staticmethod( decrementTimer )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        if ghostState.scaredTimer > 0:
+            state.data.scoreChange += 200
+            GhostRules.placeGhost(state, ghostState)
+            ghostState.scaredTimer = 0
+            # Added for first-person
+            state.data._eaten[agentIndex] = True
+        else:
+            if not state.data._win:
+                state.data.scoreChange -= 500
+                state.data._lose = True
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod( placeGhost )
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python pacman.py 
+    EXAMPLES:   (1) python pacman.py
+                    - starts an interactive game
+                (2) python pacman.py --layout smallClassic --zoom 2
+                OR  python pacman.py -l smallClassic -z 2
+                    - starts an interactive game on a smaller board, zoomed in
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='mediumClassic')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-t', '--textGraphics', action='store_true', dest='textGraphics',
+                      help='Display output as text only', default=False)
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='RandomGhost')
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=4)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed',
+                      help='Fixes the random seed to always play the same game', default=False)
+    parser.add_option('-r', '--recordActions', action='store_true', dest='record',
+                      help='Writes game histories to a file (named by the time they were played)', default=False)
+    parser.add_option('--replay', dest='gameToReplay',
+                      help='A recorded game file (pickle) to replay', default=None)
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma separated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-x', '--numTraining', dest='numTraining', type='int',
+                      help=default('How many episodes are training (suppresses output)'), default=0)
+    parser.add_option('--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-c', '--catchExceptions', action='store_true', dest='catchExceptions',
+                      help='Turns on exception handling and timeouts during games', default=False)
+    parser.add_option('--timeout', dest='timeout', type='int',
+                      help=default('Maximum length of time an agent can spend computing in a single game'), default=30)
+
+    options, otherjunk = parser.parse_args(argv)
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + str(otherjunk))
+    args = dict()
+
+    # Fix the random seed
+    if options.fixRandomSeed: random.seed('cs188')
+
+    # Choose a layout
+    args['layout'] = layout.getLayout( options.layout )
+    if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a Pacman agent
+    noKeyboard = options.gameToReplay == None and (options.textGraphics or options.quietGraphics)
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    if options.numTraining > 0:
+        args['numTraining'] = options.numTraining
+        if 'numTraining' not in agentOpts: agentOpts['numTraining'] = options.numTraining
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    # Don't display training games
+    if 'numTrain' in agentOpts:
+        options.numQuiet = int(agentOpts['numTrain'])
+        options.numIgnore = int(agentOpts['numTrain'])
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, noKeyboard)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a display format
+    if options.quietGraphics:
+        import textDisplay
+        args['display'] = textDisplay.NullGraphics()
+    elif options.textGraphics:
+        import textDisplay
+        textDisplay.SLEEP_TIME = options.frameTime
+        args['display'] = textDisplay.PacmanGraphics()
+    else:
+        import graphicsDisplay
+        args['display'] = graphicsDisplay.PacmanGraphics(options.zoom, frameTime = options.frameTime)
+    args['numGames'] = options.numGames
+    args['record'] = options.record
+    args['catchExceptions'] = options.catchExceptions
+    args['timeout'] = options.timeout
+
+    # Special case: recorded games don't use the runGames method or args structure
+    if options.gameToReplay != None:
+        print 'Replaying recorded game %s.' % options.gameToReplay
+        import cPickle
+        f = open(options.gameToReplay)
+        try: recorded = cPickle.load(f)
+        finally: f.close()
+        recorded['display'] = args['display']
+        replayGame(**recorded)
+        sys.exit(0)
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def replayGame( layout, actions, display ):
+    import pacmanAgents, ghostAgents
+    rules = ClassicGameRules()
+    agents = [pacmanAgents.GreedyAgent()] + [ghostAgents.RandomGhost(i+1) for i in range(layout.getNumGhosts())]
+    game = rules.newGame( layout, agents[0], agents[1:], display )
+    state = game.state
+    display.initialize(state.data)
+
+    for action in actions:
+            # Execute the action
+        state = state.generateSuccessor( *action )
+        # Change the display
+        display.update( state.data )
+        # Allow for game specific conditions (winning, losing, etc.)
+        rules.process(state, game)
+
+    display.finish()
+
+def runGames( layout, pacman, ghosts, display, numGames, record, numTraining = 0, catchExceptions=False, timeout=30 ):
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = ClassicGameRules(timeout)
+    games = []
+
+    for i in range( numGames ):
+        beQuiet = i < numTraining
+        if beQuiet:
+                # Suppress output and graphics
+            import textDisplay
+            gameDisplay = textDisplay.NullGraphics()
+            rules.quiet = True
+        else:
+            gameDisplay = display
+            rules.quiet = False
+        game = rules.newGame( layout, pacman, ghosts, gameDisplay, beQuiet, catchExceptions)
+        game.run()
+        if not beQuiet: games.append(game)
+
+        if record:
+            import time, cPickle
+            fname = ('recorded-game-%d' % (i + 1)) +  '-'.join([str(t) for t in time.localtime()[1:6]])
+            f = file(fname, 'w')
+            components = {'layout': layout, 'actions': game.moveHistory}
+            cPickle.dump(components, f)
+            f.close()
+
+    if (numGames-numTraining) > 0:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print 'Average Score:', sum(scores) / float(len(scores))
+        print 'Scores:       ', ', '.join([str(score) for score in scores])
+        print 'Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate)
+        print 'Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins])
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
+
+    # import cProfile
+    # cProfile.run("runGames( **args )")
+    pass
diff --git a/cs188-projects-master/P2 Multi-Agent Search/pacman.pyc b/cs188-projects-master/P2 Multi-Agent Search/pacman.pyc
new file mode 100644
index 0000000..c74ebde
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diff --git a/cs188-projects-master/P2 Multi-Agent Search/pacmanAgents.py b/cs188-projects-master/P2 Multi-Agent Search/pacmanAgents.py
new file mode 100644
index 0000000..ae97634
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/pacmanAgents.py	
@@ -0,0 +1,52 @@
+# pacmanAgents.py
+# ---------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from pacman import Directions
+from game import Agent
+import random
+import game
+import util
+
+class LeftTurnAgent(game.Agent):
+    "An agent that turns left at every opportunity"
+
+    def getAction(self, state):
+        legal = state.getLegalPacmanActions()
+        current = state.getPacmanState().configuration.direction
+        if current == Directions.STOP: current = Directions.NORTH
+        left = Directions.LEFT[current]
+        if left in legal: return left
+        if current in legal: return current
+        if Directions.RIGHT[current] in legal: return Directions.RIGHT[current]
+        if Directions.LEFT[left] in legal: return Directions.LEFT[left]
+        return Directions.STOP
+
+class GreedyAgent(Agent):
+    def __init__(self, evalFn="scoreEvaluation"):
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        assert self.evaluationFunction != None
+
+    def getAction(self, state):
+        # Generate candidate actions
+        legal = state.getLegalPacmanActions()
+        if Directions.STOP in legal: legal.remove(Directions.STOP)
+
+        successors = [(state.generateSuccessor(0, action), action) for action in legal]
+        scored = [(self.evaluationFunction(state), action) for state, action in successors]
+        bestScore = max(scored)[0]
+        bestActions = [pair[1] for pair in scored if pair[0] == bestScore]
+        return random.choice(bestActions)
+
+def scoreEvaluation(state):
+    return state.getScore()
diff --git a/cs188-projects-master/P2 Multi-Agent Search/projectParams.py b/cs188-projects-master/P2 Multi-Agent Search/projectParams.py
new file mode 100644
index 0000000..3502a3d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/projectParams.py	
@@ -0,0 +1,18 @@
+# projectParams.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+STUDENT_CODE_DEFAULT = 'multiAgents.py'
+PROJECT_TEST_CLASSES = 'multiagentTestClasses.py'
+PROJECT_NAME = 'Project 2: Multiagent search'
+BONUS_PIC = False
diff --git a/cs188-projects-master/P2 Multi-Agent Search/projectParams.pyc b/cs188-projects-master/P2 Multi-Agent Search/projectParams.pyc
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index 0000000..ede6cda
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diff --git a/cs188-projects-master/P2 Multi-Agent Search/search.pyc b/cs188-projects-master/P2 Multi-Agent Search/search.pyc
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index 0000000..1d2ce1e
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diff --git a/cs188-projects-master/P2 Multi-Agent Search/searchAgents.pyc b/cs188-projects-master/P2 Multi-Agent Search/searchAgents.pyc
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index 0000000..cd9f5bd
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diff --git a/cs188-projects-master/P2 Multi-Agent Search/testClasses.py b/cs188-projects-master/P2 Multi-Agent Search/testClasses.py
new file mode 100644
index 0000000..6f95533
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/testClasses.py	
@@ -0,0 +1,206 @@
+# testClasses.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# import modules from python standard library
+import inspect
+import re
+import sys
+
+
+# Class which models a question in a project.  Note that questions have a
+# maximum number of points they are worth, and are composed of a series of
+# test cases
+class Question(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def __init__(self, questionDict, display):
+        self.maxPoints = int(questionDict['max_points'])
+        self.testCases = []
+        self.display = display
+
+    def getDisplay(self):
+        return self.display
+
+    def getMaxPoints(self):
+        return self.maxPoints
+
+    # Note that 'thunk' must be a function which accepts a single argument,
+    # namely a 'grading' object
+    def addTestCase(self, testCase, thunk):
+        self.testCases.append((testCase, thunk))
+
+    def execute(self, grades):
+        self.raiseNotDefined()
+
+# Question in which all test cases must be passed in order to receive credit
+class PassAllTestsQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+
+class ExtraCreditPassAllTestsQuestion(Question):
+    def __init__(self, questionDict, display):
+        Question.__init__(self, questionDict, display)
+        self.extraPoints = int(questionDict['extra_points'])
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+            grades.addPoints(self.extraPoints)
+
+# Question in which predict credit is given for test cases with a ``points'' property.
+# All other tests are mandatory and must be passed.
+class HackedPartialCreditQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        grades.assignZeroCredit()
+
+        points = 0
+        passed = True
+        for testCase, f in self.testCases:
+            testResult = f(grades)
+            if "points" in testCase.testDict:
+                if testResult: points += float(testCase.testDict["points"])
+            else:
+                passed = passed and testResult
+
+        ## FIXME: Below terrible hack to match q3's logic
+        if int(points) == self.maxPoints and not passed:
+            grades.assignZeroCredit()
+        else:
+            grades.addPoints(int(points))
+
+
+class Q6PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        results = []
+        for _, f in self.testCases:
+            results.append(f(grades))
+        if False in results:
+            grades.assignZeroCredit()
+
+class PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        for _, f in self.testCases:
+            if not f(grades):
+                grades.assignZeroCredit()
+                grades.fail("Tests failed.")
+                return False
+
+
+
+class NumberPassedQuestion(Question):
+    """Grade is the number of test cases passed."""
+
+    def execute(self, grades):
+        grades.addPoints([f(grades) for _, f in self.testCases].count(True))
+
+
+
+
+
+# Template modeling a generic test case
+class TestCase(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def getPath(self):
+        return self.path
+
+    def __init__(self, question, testDict):
+        self.question = question
+        self.testDict = testDict
+        self.path = testDict['path']
+        self.messages = []
+
+    def __str__(self):
+        self.raiseNotDefined()
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.raiseNotDefined()
+
+    def writeSolution(self, moduleDict, filePath):
+        self.raiseNotDefined()
+        return True
+
+    # Tests should call the following messages for grading
+    # to ensure a uniform format for test output.
+    #
+    # TODO: this is hairy, but we need to fix grading.py's interface
+    # to get a nice hierarchical project - question - test structure,
+    # then these should be moved into Question proper.
+    def testPass(self, grades):
+        grades.addMessage('PASS: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return True
+
+    def testFail(self, grades):
+        grades.addMessage('FAIL: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return False
+
+    # This should really be question level?
+    #
+    def testPartial(self, grades, points, maxPoints):
+        grades.addPoints(points)
+        extraCredit = max(0, points - maxPoints)
+        regularCredit = points - extraCredit
+
+        grades.addMessage('%s: %s (%s of %s points)' % ("PASS" if points >= maxPoints else "FAIL", self.path, regularCredit, maxPoints))
+        if extraCredit > 0:
+            grades.addMessage('EXTRA CREDIT: %s points' % (extraCredit,))
+
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+
+        return True
+
+    def addMessage(self, message):
+        self.messages.extend(message.split('\n'))
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/testClasses.pyc b/cs188-projects-master/P2 Multi-Agent Search/testClasses.pyc
new file mode 100644
index 0000000..b89e8c4
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diff --git a/cs188-projects-master/P2 Multi-Agent Search/testParser.py b/cs188-projects-master/P2 Multi-Agent Search/testParser.py
new file mode 100644
index 0000000..ceedeaf
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/testParser.py	
@@ -0,0 +1,85 @@
+# testParser.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import sys
+
+class TestParser(object):
+
+    def __init__(self, path):
+        # save the path to the test file
+        self.path = path
+
+    def removeComments(self, rawlines):
+        # remove any portion of a line following a '#' symbol
+        fixed_lines = []
+        for l in rawlines:
+            idx = l.find('#')
+            if idx == -1:
+                fixed_lines.append(l)
+            else:
+                fixed_lines.append(l[0:idx])
+        return '\n'.join(fixed_lines)
+
+    def parse(self):
+        # read in the test case and remove comments
+        test = {}
+        with open(self.path) as handle:
+            raw_lines = handle.read().split('\n')
+
+        test_text = self.removeComments(raw_lines)
+        test['__raw_lines__'] = raw_lines
+        test['path'] = self.path
+        test['__emit__'] = []
+        lines = test_text.split('\n')
+        i = 0
+        # read a property in each loop cycle
+        while(i < len(lines)):
+            # skip blank lines
+            if re.match('\A\s*\Z', lines[i]):
+                test['__emit__'].append(("raw", raw_lines[i]))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"([^"]*)"\s*\Z', lines[i])
+            if m:
+                test[m.group(1)] = m.group(2)
+                test['__emit__'].append(("oneline", m.group(1)))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"""\s*\Z', lines[i])
+            if m:
+                msg = []
+                i += 1
+                while(not re.match('\A\s*"""\s*\Z', lines[i])):
+                    msg.append(raw_lines[i])
+                    i += 1
+                test[m.group(1)] = '\n'.join(msg)
+                test['__emit__'].append(("multiline", m.group(1)))
+                i += 1
+                continue
+            print 'error parsing test file: %s' % self.path
+            sys.exit(1)
+        return test
+
+
+def emitTestDict(testDict, handle):
+    for kind, data in testDict['__emit__']:
+        if kind == "raw":
+            handle.write(data + "\n")
+        elif kind == "oneline":
+            handle.write('%s: "%s"\n' % (data, testDict[data]))
+        elif kind == "multiline":
+            handle.write('%s: """\n%s\n"""\n' % (data, testDict[data]))
+        else:
+            raise Exception("Bad __emit__")
diff --git a/cs188-projects-master/P2 Multi-Agent Search/testParser.pyc b/cs188-projects-master/P2 Multi-Agent Search/testParser.pyc
new file mode 100644
index 0000000..093839f
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/testParser.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/CONFIG b/cs188-projects-master/P2 Multi-Agent Search/test_cases/CONFIG
new file mode 100644
index 0000000..e01f27b
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/CONFIG	
@@ -0,0 +1 @@
+order: "q1 q2 q3 q4 q5"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/extra/CONFIG b/cs188-projects-master/P2 Multi-Agent Search/test_cases/extra/CONFIG
new file mode 100644
index 0000000..3a646dd
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/extra/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "0"
+class: "PartialCreditQuestion"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/extra/grade-agent.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/extra/grade-agent.test
new file mode 100644
index 0000000..5da84c6
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/extra/grade-agent.test	
@@ -0,0 +1,11 @@
+class: "EvalAgentTest"
+
+agentName: "ContestAgent"
+layoutName: "contestClassic"
+maxTime: "180"
+numGames: "5"
+
+scoreThresholds: "2500 2900"
+
+randomSeed: "0"
+ghosts: "[DirectionalGhost(1), DirectionalGhost(2), DirectionalGhost(3)]"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/CONFIG b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/CONFIG
new file mode 100644
index 0000000..426bfe9
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PartialCreditQuestion"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/grade-agent.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/grade-agent.solution
new file mode 100644
index 0000000..278af4f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/grade-agent.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q1/grade-agent.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/grade-agent.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/grade-agent.test
new file mode 100644
index 0000000..3a70660
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q1/grade-agent.test	
@@ -0,0 +1,18 @@
+class: "EvalAgentTest"
+
+agentName: "ReflexAgent"
+layoutName: "openClassic"
+maxTime: "120"
+numGames: "10"
+
+
+nonTimeoutMinimum: "10"
+
+scoreThresholds: "500 1000"
+
+winsMinimum: "1"
+winsThresholds: "5 10"
+
+
+randomSeed: "0"
+ghosts: "[RandomGhost(1)]"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-1.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-1.solution
new file mode 100644
index 0000000..d0b6eed
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-1.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-eval-function-lose-states-1.test.
+action: "Left"
+generated: "lose1 lose2 root"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-1.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-1.test
new file mode 100644
index 0000000..791ea43
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-1.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 1.0
+lose2 0.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-2.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-2.solution
new file mode 100644
index 0000000..df68452
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-2.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-eval-function-lose-states-2.test.
+action: "Right"
+generated: "lose1 lose2 root"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-2.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-2.test
new file mode 100644
index 0000000..0d4c149
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-lose-states-2.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      0       1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 0.0
+lose2 1.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-1.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-1.solution
new file mode 100644
index 0000000..0254142
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-1.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-eval-function-win-states-1.test.
+action: "Left"
+generated: "root win1 win2"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-1.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-1.test
new file mode 100644
index 0000000..eab0af1
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-1.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1     win2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 1.0
+win2 0.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-2.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-2.solution
new file mode 100644
index 0000000..f21c04a
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-2.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-eval-function-win-states-2.test.
+action: "Right"
+generated: "root win1 win2"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-2.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-2.test
new file mode 100644
index 0000000..77d1ff0
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-eval-function-win-states-2.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1    win2
+      0      1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 0.0
+win2 1.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-lecture-6-tree.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-lecture-6-tree.solution
new file mode 100644
index 0000000..3c6a74d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-lecture-6-tree.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-lecture-6-tree.test.
+action: "Center"
+generated: "A B C D E F G H I max min1 min2 min3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-lecture-6-tree.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-lecture-6-tree.test
new file mode 100644
index 0000000..debf815
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-lecture-6-tree.test	
@@ -0,0 +1,50 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+#  Tree from lecture 6 slides
+diagram: """
+           max
+      /-/   |   \--\
+     /      |       \
+    /       |        \
+ min1      min2      min3
+  /|\      /|\       /|\ 
+ / | \    / | \     / | \
+A  B  C  D  E  F   G  H  I  
+3 12  8  5  4  6  14  1  11
+"""
+
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B C D E F G H I"
+lose_states: ""
+
+successors: """
+max Left min1
+max Center min2
+max Right min3
+min1 Left A
+min1 Center B
+min1 Right C
+min2 Left D
+min2 Center E
+min2 Right F
+min3 Left G
+min3 Center H
+min3 Right I
+"""
+
+
+evaluation: """
+A 3.0
+B 12.0
+C 8.0
+D 5.0
+E 4.0
+F 6.0
+G 14.0
+H 1.0
+I 11.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-small-tree.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-small-tree.solution
new file mode 100644
index 0000000..f381f9a
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-small-tree.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-small-tree.test.
+action: "pacLeft"
+generated: "A B C D deeper minLeft minRight root"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-small-tree.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-small-tree.test
new file mode 100644
index 0000000..5eaa65c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/0-small-tree.test	
@@ -0,0 +1,36 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+        root
+       /    \
+ minLeft  minRight
+  / \       /    \
+ A   B     C   deeper
+ 4   3     2     |
+                 D
+               1000
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "A C"
+lose_states: "B D"
+
+successors: """
+root pacLeft minLeft
+root pacRight minRight
+minLeft gLeft A
+minLeft gRight B
+minRight gLeft C
+minRight gRight deeper
+deeper pacLeft D
+"""
+
+evaluation: """
+A 4.0
+B 3.0
+C 2.0
+D 1000.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-1-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-1-minmax.solution
new file mode 100644
index 0000000..3ac7510
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-1-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-1-minmax.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-1-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-1-minmax.test
new file mode 100644
index 0000000..addd65b
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-1-minmax.test	
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+   c1        c2             cx
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-2-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-2-minmax.solution
new file mode 100644
index 0000000..e40e3de
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-2-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-2-minmax.test.
+action: "Right"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-2-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-2-minmax.test
new file mode 100644
index 0000000..44e0a77
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-2-minmax.test	
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+   c1        c2             cx
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -2.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -2.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-3-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-3-minmax.solution
new file mode 100644
index 0000000..513961c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-3-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-3-minmax.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-3-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-3-minmax.test
new file mode 100644
index 0000000..5f4b12d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-3-minmax.test	
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+        cx             c3        c4
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b2 is 4.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-4-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-4-minmax.solution
new file mode 100644
index 0000000..1ae4c0f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-4-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-4-minmax.test.
+action: "Right"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-4-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-4-minmax.test
new file mode 100644
index 0000000..445fe0f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-4-minmax.test	
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+        cx             c3        c4
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       3.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b2 is 4.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 3.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-5-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-5-minmax.solution
new file mode 100644
index 0000000..0553ca7
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-5-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-5-minmax.test.
+action: "Right"
+generated: "A B C D E F G H Z a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-5-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-5-minmax.test
new file mode 100644
index 0000000..5ce2ba9
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-5-minmax.test	
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+             /-----a------\
+            /              \
+           /                \
+         b1                  b2
+       /    \                |
+    c1        c2             cx
+   /  \      /  \            |
+  d1   d2  d3   d4           dx
+ / \  / \  / \  / \          |
+ A B  C D  E F  G H          Z
+-3 13 5 9 10 3 -6 8        3.01
+
+a - max
+b - min
+c - max
+d - min
+
+Note the minimax value of b1 is 3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+A -3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 3.0
+G -6.0
+H 8.0
+Z 3.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-6-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-6-minmax.solution
new file mode 100644
index 0000000..f25e068
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-6-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-6-minmax.test.
+action: "Left"
+generated: "A B C D E F G H Z a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-6-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-6-minmax.test
new file mode 100644
index 0000000..44b166f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-6-minmax.test	
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+             /-----a------\
+            /              \
+           /                \
+         b1                  b2
+       /    \                |
+    c1        c2             cx
+   /  \      /  \            |
+  d1   d2  d3   d4           dx
+ / \  / \  / \  / \          |
+ A B  C D  E F  G H          Z
+-3 13 5 9 10 3 -6 8        2.99
+
+a - max
+b - min
+c - max
+d - min
+
+Note the minimax value of b1 is 3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+A -3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 3.0
+G -6.0
+H 8.0
+Z 2.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-7-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-7-minmax.solution
new file mode 100644
index 0000000..fd801a8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-7-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-7-minmax.test.
+action: "Left"
+generated: "I J K L M N O P Z a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-7-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-7-minmax.test
new file mode 100644
index 0000000..534cb39
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-7-minmax.test	
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+        |                 /    \
+        cx             c3        c4
+        |             /   \     /   \
+        dx           d5   d6   d7   d8
+        |           / \  / \  / \  / \ 
+        Z           I J  K L  M N  O P
+     -1.99        -1 -9  4 7  2 5 -3 -2
+
+a - max
+b - min
+c - min
+d - max
+
+Note that the minimax value of b2 is -2
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+I -1.0
+J -9.0
+K 4.0
+L 7.0
+M 2.0
+N 5.0
+O -3.0
+P -2.0
+Z -1.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-8-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-8-minmax.solution
new file mode 100644
index 0000000..80c7ebe
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-8-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-8-minmax.test.
+action: "Right"
+generated: "I J K L M N O P Z a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-8-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-8-minmax.test
new file mode 100644
index 0000000..7d3ead9
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/1-8-minmax.test	
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+        |                 /    \
+        cx             c3        c4
+        |             /   \     /   \
+        dx           d5   d6   d7   d8 
+        |           / \  / \  / \  / \ 
+        Z           I J  K L  M N  O P
+     -2.01        -1 -9  4 7  2 5 -3 -2
+
+a - max
+b - min
+c - min
+d - max
+
+Note that the minimax value of b2 is -2.01
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+I -1.0
+J -9.0
+K 4.0
+L 7.0
+M 2.0
+N 5.0
+O -3.0
+P -2.0
+Z -2.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1a-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1a-vary-depth.solution
new file mode 100644
index 0000000..9dd1708
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1a-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-1a-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1a-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1a-vary-depth.test
new file mode 100644
index 0000000..321b1ce
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1a-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -4.01
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -4.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -4.01
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -4.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1b-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1b-vary-depth.solution
new file mode 100644
index 0000000..a824e44
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1b-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-1b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1b-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1b-vary-depth.test
new file mode 100644
index 0000000..d0d656d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-1b-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -4.01
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -4.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -4.01
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -4.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2a-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2a-vary-depth.solution
new file mode 100644
index 0000000..b4b0e98
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2a-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-2a-vary-depth.test.
+action: "Right"
+generated: "a b1 b2 c1 c2 cx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2a-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2a-vary-depth.test
new file mode 100644
index 0000000..204877f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2a-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -3.99
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -3.99
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2b-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2b-vary-depth.solution
new file mode 100644
index 0000000..94e2089
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2b-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-2b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2b-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2b-vary-depth.test
new file mode 100644
index 0000000..1e4ef41
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-2b-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -3.99
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -3.99
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3a-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3a-vary-depth.solution
new file mode 100644
index 0000000..1bab661
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3a-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-3a-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3a-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3a-vary-depth.test
new file mode 100644
index 0000000..e083759
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3a-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 5.01   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       5.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 5.01
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 5.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3b-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3b-vary-depth.solution
new file mode 100644
index 0000000..fb389ec
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3b-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-3b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3b-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3b-vary-depth.test
new file mode 100644
index 0000000..cbe88b5
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-3b-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 5.01   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       5.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 5.01
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 5.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4a-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4a-vary-depth.solution
new file mode 100644
index 0000000..815147d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4a-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-4a-vary-depth.test.
+action: "Right"
+generated: "a b1 b2 c3 c4 cx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4a-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4a-vary-depth.test
new file mode 100644
index 0000000..e519969
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4a-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 4.99   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 4.99
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4b-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4b-vary-depth.solution
new file mode 100644
index 0000000..3b12519
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4b-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-4b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4b-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4b-vary-depth.test
new file mode 100644
index 0000000..a80e82d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-4b-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 4.99   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 4.99
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-one-ghost-3level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-one-ghost-3level.solution
new file mode 100644
index 0000000..f7b10fb
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-one-ghost-3level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-one-ghost-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-one-ghost-3level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-one-ghost-3level.test
new file mode 100644
index 0000000..90d4685
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/2-one-ghost-3level.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /    \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - min
+c - max
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/3-one-ghost-4level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/3-one-ghost-4level.solution
new file mode 100644
index 0000000..5fcb2c5
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/3-one-ghost-4level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/3-one-ghost-4level.test.
+action: "Left"
+generated: "A B C D E F G H I J K L M N O P a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/3-one-ghost-4level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/3-one-ghost-4level.test
new file mode 100644
index 0000000..6868528
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/3-one-ghost-4level.test	
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /    \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - min
+c - max
+d - min
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/4-two-ghosts-3level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/4-two-ghosts-3level.solution
new file mode 100644
index 0000000..36a2326
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/4-two-ghosts-3level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/4-two-ghosts-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/4-two-ghosts-3level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/4-two-ghosts-3level.test
new file mode 100644
index 0000000..a2c5bad
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/4-two-ghosts-3level.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /    \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - min
+c - min
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/5-two-ghosts-4level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/5-two-ghosts-4level.solution
new file mode 100644
index 0000000..3164ec0
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/5-two-ghosts-4level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/5-two-ghosts-4level.test.
+action: "Left"
+generated: "A B C D E F G H I J K L M N O P a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/5-two-ghosts-4level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/5-two-ghosts-4level.test
new file mode 100644
index 0000000..9eeb228
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/5-two-ghosts-4level.test	
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /    \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - min
+c - min
+d - max
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/6-tied-root.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/6-tied-root.solution
new file mode 100644
index 0000000..61918b0
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/6-tied-root.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/6-tied-root.test.
+action: "Left"
+generated: "A B C max min1 min2"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/6-tied-root.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/6-tied-root.test
new file mode 100644
index 0000000..98cc012
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/6-tied-root.test	
@@ -0,0 +1,31 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+    max
+   /   \
+min1    min2
+ |      /  \
+ A      B   C
+10     10   0
+"""
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B"
+lose_states: "C"
+
+successors: """
+max Left min1
+max Right min2
+min1 Down A
+min2 Left B
+min2 Right C
+"""
+
+evaluation: """
+A 10.0
+B 10.0
+C 0.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1a-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1a-check-depth-one-ghost.solution
new file mode 100644
index 0000000..0b7f01b
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1a-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-1a-check-depth-one-ghost.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1a-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1a-check-depth-one-ghost.test
new file mode 100644
index 0000000..077effc
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1a-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 1, the evaluation function is called at level c,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1b-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1b-check-depth-one-ghost.solution
new file mode 100644
index 0000000..e7e3c6f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1b-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-1b-check-depth-one-ghost.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1b-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1b-check-depth-one-ghost.test
new file mode 100644
index 0000000..53cefd4
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1b-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 2, the evaluation function is called at level e,
+so Center should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1c-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1c-check-depth-one-ghost.solution
new file mode 100644
index 0000000..188854d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1c-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-1c-check-depth-one-ghost.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1c-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1c-check-depth-one-ghost.test
new file mode 100644
index 0000000..51a5c9a
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-1c-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 3, the evaluation function is called at level g,
+so Right should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2a-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2a-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..649825a
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2a-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-2a-check-depth-two-ghosts.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2a-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2a-check-depth-two-ghosts.test
new file mode 100644
index 0000000..c8fc743
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2a-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 1, the evaluation function is called at level d,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2b-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2b-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..440eaf8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2b-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-2b-check-depth-two-ghosts.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2b-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2b-check-depth-two-ghosts.test
new file mode 100644
index 0000000..2dff6d0
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2b-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 2, the evaluation function is called at level g,
+so Center should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2c-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2c-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..fb146d8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2c-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-2c-check-depth-two-ghosts.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3 h1 h2 h3 i1 i2 i3 j1 j2 j3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2c-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2c-check-depth-two-ghosts.test
new file mode 100644
index 0000000..2ef9f15
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/7-2c-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 3, the evaluation function is called at level j,
+so Right should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/8-pacman-game.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/8-pacman-game.solution
new file mode 100644
index 0000000..4ee19d8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/8-pacman-game.solution	
@@ -0,0 +1,444 @@
+optimalActions: """
+[[["West", "East"], 59], [["West", "East"], 35]]
+[[["West"], 190], [["West"], 127]]
+[[["West"], 190], [["West"], 135]]
+[[["West", "North"], 120], [["West", "North"], 82]]
+[[["West"], 77], [["West"], 57]]
+[[["West", "North"], 143], [["West", "North"], 97]]
+[[["West"], 155], [["West"], 110]]
+[[["West"], 40], [["West"], 27]]
+[[["North"], 64], [["North"], 43]]
+[[["North"], 85], [["North"], 57]]
+[[["North"], 106], [["North"], 71]]
+[[["North"], 97], [["North"], 65]]
+[[["Stop", "East"], 154], [["East"], 103]]
+[[["East"], 156], [["East"], 101]]
+[[["West"], 30], [["West"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["North"], 29], [["North"], 18]]
+[[["North"], 50], [["North"], 31]]
+[[["West"], 55], [["West"], 36]]
+[[["East"], 29], [["East"], 16]]
+[[["North"], 89], [["North"], 61]]
+[[["East", "North"], 161], [["East", "North"], 121]]
+[[["East", "North"], 221], [["East", "North"], 166]]
+[[["North", "South"], 105], [["North", "South"], 77]]
+[[["West"], 69], [["West"], 51]]
+[[["West"], 94], [["West"], 69]]
+[[["West", "Stop"], 57], [["West"], 42]]
+[[["West", "Stop", "East"], 69], [["West", "East"], 49]]
+[[["West", "Stop", "East"], 61], [["West", "East"], 41]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 28], [["East", "South"], 19]]
+[[["Stop", "East", "South"], 34], [["East", "South"], 23]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 64], [["East", "South"], 43]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 102], [["East", "South"], 67]]
+[[["Stop", "South"], 23], [["South"], 13]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 29], [["East", "North"], 18]]
+[[["East"], 38], [["East"], 22]]
+[[["North"], 29], [["North"], 18]]
+[[["North"], 38], [["North"], 22]]
+[[["East"], 33], [["East"], 22]]
+[[["East"], 37], [["East"], 18]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 37], [["East"], 26]]
+[[["East"], 69], [["East"], 41]]
+[[["East"], 56], [["East"], 26]]
+[[["East"], 44], [["East"], 29]]
+[[["North", "South"], 83], [["North", "South"], 52]]
+[[["East", "North"], 121], [["East", "North"], 74]]
+[[["East", "North"], 97], [["East", "North"], 73]]
+[[["North", "South"], 173], [["North", "South"], 130]]
+[[["West", "East"], 90], [["West", "East"], 66]]
+[[["West", "Stop", "East"], 161], [["West", "East"], 118]]
+[[["Stop", "East", "South"], 58], [["East", "South"], 43]]
+[[["Stop", "East"], 120], [["South"], 85]]
+[[["East"], 78], [["East"], 45]]
+[[["West"], 77], [["West"], 42]]
+[[["South"], 83], [["South"], 48]]
+[[["South"], 49], [["South"], 37]]
+[[["South"], 185], [["South"], 104]]
+[[["South"], 68], [["South"], 41]]
+[[["West"], 30], [["West"], 18]]
+[[["West"], 56], [["West"], 29]]
+[[["West"], 14], [["West"], 10]]
+[[["West"], 20], [["West"], 14]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 16], [["West"], 12]]
+[[["West", "North"], 30], [["West", "North"], 20]]
+[[["West"], 38], [["West"], 23]]
+[[["West", "Stop", "East", "North"], 70], [["West", "East", "North"], 46]]
+[[["West", "Stop", "East"], 128], [["West", "East"], 89]]
+[[["West", "Stop", "East"], 31], [["West", "East"], 20]]
+[[["Stop", "East", "North"], 69], [["East", "North"], 45]]
+[[["Stop", "North"], 58], [["North"], 31]]
+[[["North"], 34], [["North"], 19]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 34], [["North"], 19]]
+[[["East"], 30], [["East"], 17]]
+[[["East"], 19], [["East"], 11]]
+[[["East"], 44], [["East"], 29]]
+[[["East", "South"], 87], [["East", "South"], 60]]
+[[["East", "South"], 108], [["East", "South"], 62]]
+[[["South"], 120], [["South"], 61]]
+[[["North", "South"], 209], [["North", "South"], 132]]
+[[["West"], 108], [["West"], 60]]
+[[["West", "Stop", "East", "South"], 83], [["West", "East", "South"], 61]]
+[[["West", "Stop", "East", "South"], 90], [["West", "East", "South"], 66]]
+[[["West", "Stop", "East"], 134], [["West", "East"], 95]]
+[[["West", "Stop", "East"], 82], [["West", "East"], 55]]
+[[["Stop", "East", "South"], 142], [["East", "South"], 95]]
+[[["Stop", "East", "South"], 98], [["East", "South"], 65]]
+[[["Stop", "East", "South"], 128], [["East", "South"], 86]]
+[[["Stop", "East", "South"], 82], [["East", "South"], 55]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 190], [["East", "South"], 127]]
+[[["Stop", "East", "South"], 158], [["East", "South"], 103]]
+[[["Stop", "South"], 50], [["South"], 27]]
+[[["South"], 30], [["South"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 29], [["East", "North"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 41], [["East", "North"], 24]]
+[[["East"], 59], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["East"], 26], [["East"], 15]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 29], [["East"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 41], [["East", "North"], 24]]
+[[["East"], 59], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["North"], 26], [["North"], 15]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 34], [["North"], 19]]
+[[["West"], 34], [["West"], 19]]
+[[["West"], 25], [["West"], 13]]
+[[["West", "Stop", "East"], 7], [["West", "East"], 3]]
+"""
+altDepthActions: """
+[["West", "East"], ["West", "East"], ["West", "East"], ["West", "East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["Stop", "North"], ["North"]]
+[["East"], ["East"], ["Stop", "East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["West"], ["West"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West", "Stop"], ["West"]]
+[["West"], ["West"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North", "South"], ["North", "South"], ["South"], ["South"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West", "East"], ["West", "East"], ["East"], ["East"]]
+[["West"], ["West"], ["East"], ["East"]]
+[["Stop", "East", "South"], ["East", "South"], ["East"], ["East"]]
+[["Stop", "East"], ["East"], ["Stop", "East"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["West", "East"], ["West", "East"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"], ["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"], ["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"], ["Stop", "North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["North", "South"], ["North", "South"], ["North", "South"], ["North", "South"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+"""
+partialPlyBugActions: """
+[["West", "East"], ["West", "East"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["Stop", "East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North", "South"], ["North", "South"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East"], ["East"]]
+[["East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"]]
+[["South"], ["South"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/8-pacman-game.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/8-pacman-game.test
new file mode 100644
index 0000000..be7396d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/8-pacman-game.test	
@@ -0,0 +1,19 @@
+class: "PacmanGameTreeTest"
+alg: "MinimaxAgent"
+seed: "0"
+depth: "2"
+max_points: "4"
+
+# The following specifies the layout to be used 
+layoutName: "smallClassic"
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/CONFIG b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/CONFIG
new file mode 100644
index 0000000..a5adc3f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q2/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-1.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-1.solution
new file mode 100644
index 0000000..7d48add
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-1.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-eval-function-lose-states-1.test.
+action: "Left"
+generated: "lose1 lose2 root"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-1.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-1.test
new file mode 100644
index 0000000..36dc214
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-1.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 1.0
+lose2 0.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-2.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-2.solution
new file mode 100644
index 0000000..cc0f8f7
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-2.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-eval-function-lose-states-2.test.
+action: "Right"
+generated: "lose1 lose2 root"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-2.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-2.test
new file mode 100644
index 0000000..ed55fc8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-lose-states-2.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      0       1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 0.0
+lose2 1.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-1.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-1.solution
new file mode 100644
index 0000000..7734b36
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-1.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-eval-function-win-states-1.test.
+action: "Left"
+generated: "root win1 win2"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-1.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-1.test
new file mode 100644
index 0000000..20436ea
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-1.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1     win2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 1.0
+win2 0.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-2.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-2.solution
new file mode 100644
index 0000000..7e479db
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-2.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-eval-function-win-states-2.test.
+action: "Right"
+generated: "root win1 win2"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-2.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-2.test
new file mode 100644
index 0000000..6f4519c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-eval-function-win-states-2.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1    win2
+      0      1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 0.0
+win2 1.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-lecture-6-tree.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-lecture-6-tree.solution
new file mode 100644
index 0000000..c4a91ad
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-lecture-6-tree.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-lecture-6-tree.test.
+action: "Center"
+generated: "A B C D E F G H max min1 min2 min3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-lecture-6-tree.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-lecture-6-tree.test
new file mode 100644
index 0000000..cbc61fe
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-lecture-6-tree.test	
@@ -0,0 +1,50 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+#  Tree from lecture 6 slides
+diagram: """
+           max
+      /-/   |   \--\
+     /      |       \
+    /       |        \
+ min1      min2      min3
+  /|\      /|\       /|\ 
+ / | \    / | \     / | \
+A  B  C  D  E  F   G  H  I  
+3 12  8  5  4  6  14  1  11
+"""
+
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B C D E F G H I"
+lose_states: ""
+
+successors: """
+max Left min1
+max Center min2
+max Right min3
+min1 Left A
+min1 Center B
+min1 Right C
+min2 Left D
+min2 Center E
+min2 Right F
+min3 Left G
+min3 Center H
+min3 Right I
+"""
+
+
+evaluation: """
+A 3.0
+B 12.0
+C 8.0
+D 5.0
+E 4.0
+F 6.0
+G 14.0
+H 1.0
+I 11.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-small-tree.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-small-tree.solution
new file mode 100644
index 0000000..e940986
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-small-tree.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-small-tree.test.
+action: "pacLeft"
+generated: "A B C minLeft minRight root"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-small-tree.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-small-tree.test
new file mode 100644
index 0000000..a9829d0
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/0-small-tree.test	
@@ -0,0 +1,36 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+        root
+       /    \
+ minLeft  minRight
+  / \       /    \
+ A   B     C   deeper
+ 4   3     2     |
+                 D
+               1000
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "A C"
+lose_states: "B D"
+
+successors: """
+root pacLeft minLeft
+root pacRight minRight
+minLeft gLeft A
+minLeft gRight B
+minRight gLeft C
+minRight gRight deeper
+deeper pacLeft D
+"""
+
+evaluation: """
+A 4.0
+B 3.0
+C 2.0
+D 1000.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-1-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-1-minmax.solution
new file mode 100644
index 0000000..2834b29
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-1-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-1-minmax.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-1-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-1-minmax.test
new file mode 100644
index 0000000..c601316
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-1-minmax.test	
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+   c1        c2             cx
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-2-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-2-minmax.solution
new file mode 100644
index 0000000..8c17bcf
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-2-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-2-minmax.test.
+action: "Right"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-2-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-2-minmax.test
new file mode 100644
index 0000000..d42a467
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-2-minmax.test	
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+   c1        c2             cx
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -2.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -2.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-3-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-3-minmax.solution
new file mode 100644
index 0000000..827cdbd
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-3-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-3-minmax.test.
+action: "Left"
+generated: "a b1 b2 c3 cx d5 d6 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-3-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-3-minmax.test
new file mode 100644
index 0000000..0fc2226
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-3-minmax.test	
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+        cx             c3        c4
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b2 is 4.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-4-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-4-minmax.solution
new file mode 100644
index 0000000..f5570d1
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-4-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-4-minmax.test.
+action: "Right"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-4-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-4-minmax.test
new file mode 100644
index 0000000..d8d02e2
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-4-minmax.test	
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+        cx             c3        c4
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       3.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b2 is 4.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 3.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-5-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-5-minmax.solution
new file mode 100644
index 0000000..06cebde
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-5-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-5-minmax.test.
+action: "Right"
+generated: "A B C D E F G Z a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-5-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-5-minmax.test
new file mode 100644
index 0000000..2d57290
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-5-minmax.test	
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+             /-----a------\
+            /              \
+           /                \
+         b1                  b2
+       /    \                |
+    c1        c2             cx
+   /  \      /  \            |
+  d1   d2  d3   d4           dx
+ / \  / \  / \  / \          |
+ A B  C D  E F  G H          Z
+-3 13 5 9 10 3 -6 8        3.01
+
+a - max
+b - min
+c - max
+d - min
+
+Note the minimax value of b1 is 3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+A -3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 3.0
+G -6.0
+H 8.0
+Z 3.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-6-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-6-minmax.solution
new file mode 100644
index 0000000..1ced2ca
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-6-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-6-minmax.test.
+action: "Left"
+generated: "A B C D E F G Z a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-6-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-6-minmax.test
new file mode 100644
index 0000000..3360e93
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-6-minmax.test	
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+             /-----a------\
+            /              \
+           /                \
+         b1                  b2
+       /    \                |
+    c1        c2             cx
+   /  \      /  \            |
+  d1   d2  d3   d4           dx
+ / \  / \  / \  / \          |
+ A B  C D  E F  G H          Z
+-3 13 5 9 10 3 -6 8        2.99
+
+a - max
+b - min
+c - max
+d - min
+
+Note the minimax value of b1 is 3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+A -3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 3.0
+G -6.0
+H 8.0
+Z 2.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-7-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-7-minmax.solution
new file mode 100644
index 0000000..74e2da0
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-7-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-7-minmax.test.
+action: "Left"
+generated: "I J K M O P Z a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-7-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-7-minmax.test
new file mode 100644
index 0000000..207381d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-7-minmax.test	
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+        |                 /    \
+        cx             c3        c4
+        |             /   \     /   \
+        dx           d5   d6   d7   d8
+        |           / \  / \  / \  / \ 
+        Z           I J  K L  M N  O P
+     -1.99        -1 -9  4 7  2 5 -3 -2
+
+a - max
+b - min
+c - min
+d - max
+
+Note that the minimax value of b2 is -2
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+I -1.0
+J -9.0
+K 4.0
+L 7.0
+M 2.0
+N 5.0
+O -3.0
+P -2.0
+Z -1.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-8-minmax.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-8-minmax.solution
new file mode 100644
index 0000000..bf426b8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-8-minmax.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-8-minmax.test.
+action: "Right"
+generated: "I J K M O P Z a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-8-minmax.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-8-minmax.test
new file mode 100644
index 0000000..2272b30
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/1-8-minmax.test	
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+        |                 /    \
+        cx             c3        c4
+        |             /   \     /   \
+        dx           d5   d6   d7   d8 
+        |           / \  / \  / \  / \ 
+        Z           I J  K L  M N  O P
+     -2.01        -1 -9  4 7  2 5 -3 -2
+
+a - max
+b - min
+c - min
+d - max
+
+Note that the minimax value of b2 is -2.01
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+I -1.0
+J -9.0
+K 4.0
+L 7.0
+M 2.0
+N 5.0
+O -3.0
+P -2.0
+Z -2.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1a-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1a-vary-depth.solution
new file mode 100644
index 0000000..59d892c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1a-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-1a-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1a-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1a-vary-depth.test
new file mode 100644
index 0000000..f8f9431
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1a-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -4.01
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -4.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -4.01
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -4.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1b-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1b-vary-depth.solution
new file mode 100644
index 0000000..a0f232c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1b-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-1b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1b-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1b-vary-depth.test
new file mode 100644
index 0000000..1b161af
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-1b-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -4.01
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -4.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -4.01
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -4.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2a-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2a-vary-depth.solution
new file mode 100644
index 0000000..6e8d7fd
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2a-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-2a-vary-depth.test.
+action: "Right"
+generated: "a b1 b2 c1 c2 cx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2a-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2a-vary-depth.test
new file mode 100644
index 0000000..b436d21
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2a-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -3.99
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -3.99
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2b-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2b-vary-depth.solution
new file mode 100644
index 0000000..f508aef
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2b-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-2b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2b-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2b-vary-depth.test
new file mode 100644
index 0000000..c0540a3
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-2b-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -3.99
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -3.99
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3a-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3a-vary-depth.solution
new file mode 100644
index 0000000..d805b84
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3a-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-3a-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3a-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3a-vary-depth.test
new file mode 100644
index 0000000..853a8d3
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3a-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 5.01   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       5.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 5.01
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 5.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3b-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3b-vary-depth.solution
new file mode 100644
index 0000000..32a70c6
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3b-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-3b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 cx d5 d6 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3b-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3b-vary-depth.test
new file mode 100644
index 0000000..2892005
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-3b-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 5.01   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       5.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 5.01
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 5.01
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4a-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4a-vary-depth.solution
new file mode 100644
index 0000000..eafdb62
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4a-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-4a-vary-depth.test.
+action: "Right"
+generated: "a b1 b2 c3 c4 cx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4a-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4a-vary-depth.test
new file mode 100644
index 0000000..73d681b
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4a-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 4.99   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 4.99
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4b-vary-depth.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4b-vary-depth.solution
new file mode 100644
index 0000000..820398a
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4b-vary-depth.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-4b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 cx d5 d6 dx"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4b-vary-depth.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4b-vary-depth.test
new file mode 100644
index 0000000..a7aca5f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-4b-vary-depth.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 4.99   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 4.99
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.99
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-one-ghost-3level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-one-ghost-3level.solution
new file mode 100644
index 0000000..b22f76f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-one-ghost-3level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-one-ghost-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 d1 d2 d3 d5 d6"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-one-ghost-3level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-one-ghost-3level.test
new file mode 100644
index 0000000..2ec19b4
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/2-one-ghost-3level.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - min
+c - max
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/3-one-ghost-4level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/3-one-ghost-4level.solution
new file mode 100644
index 0000000..b6a9a0f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/3-one-ghost-4level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/3-one-ghost-4level.test.
+action: "Left"
+generated: "A B C D E F I K a b1 b2 c1 c2 c3 d1 d2 d3 d5 d6"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/3-one-ghost-4level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/3-one-ghost-4level.test
new file mode 100644
index 0000000..cfa33db
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/3-one-ghost-4level.test	
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - min
+c - max
+d - min
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/4-two-ghosts-3level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/4-two-ghosts-3level.solution
new file mode 100644
index 0000000..12e9520
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/4-two-ghosts-3level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/4-two-ghosts-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/4-two-ghosts-3level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/4-two-ghosts-3level.test
new file mode 100644
index 0000000..fd3ac91
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/4-two-ghosts-3level.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - min
+c - min
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/5-two-ghosts-4level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/5-two-ghosts-4level.solution
new file mode 100644
index 0000000..89c534c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/5-two-ghosts-4level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/5-two-ghosts-4level.test.
+action: "Left"
+generated: "A B C D E G H I J a b1 b2 c1 c2 c3 d1 d2 d3 d4 d5"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/5-two-ghosts-4level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/5-two-ghosts-4level.test
new file mode 100644
index 0000000..ce431fc
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/5-two-ghosts-4level.test	
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - min
+c - min
+d - max
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/6-tied-root.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/6-tied-root.solution
new file mode 100644
index 0000000..93ece27
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/6-tied-root.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/6-tied-root.test.
+action: "Left"
+generated: "A B C max min1 min2"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/6-tied-root.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/6-tied-root.test
new file mode 100644
index 0000000..b43f4d9
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/6-tied-root.test	
@@ -0,0 +1,31 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+    max
+   /   \
+min1    min2
+ |      /  \
+ A      B   C
+10     10   0
+"""
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B"
+lose_states: "C"
+
+successors: """
+max Left min1
+max Right min2
+min1 Down A
+min2 Left B
+min2 Right C
+"""
+
+evaluation: """
+A 10.0
+B 10.0
+C 0.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1a-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1a-check-depth-one-ghost.solution
new file mode 100644
index 0000000..a3a74c4
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1a-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-1a-check-depth-one-ghost.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1a-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1a-check-depth-one-ghost.test
new file mode 100644
index 0000000..0230cbb
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1a-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 1, the evaluation function is called at level c,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1b-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1b-check-depth-one-ghost.solution
new file mode 100644
index 0000000..8dad3c7
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1b-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-1b-check-depth-one-ghost.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1b-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1b-check-depth-one-ghost.test
new file mode 100644
index 0000000..7e0ced7
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1b-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 2, the evaluation function is called at level e,
+so Center should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1c-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1c-check-depth-one-ghost.solution
new file mode 100644
index 0000000..210bb5d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1c-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-1c-check-depth-one-ghost.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1c-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1c-check-depth-one-ghost.test
new file mode 100644
index 0000000..cd92eb9
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-1c-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 3, the evaluation function is called at level g,
+so Right should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2a-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2a-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..9a08a38
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2a-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-2a-check-depth-two-ghosts.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2a-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2a-check-depth-two-ghosts.test
new file mode 100644
index 0000000..421a05c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2a-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 1, the evaluation function is called at level d,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2b-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2b-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..194c0aa
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2b-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-2b-check-depth-two-ghosts.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2b-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2b-check-depth-two-ghosts.test
new file mode 100644
index 0000000..728806e
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2b-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 2, the evaluation function is called at level g,
+so Center should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2c-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2c-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..1e989f3
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2c-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-2c-check-depth-two-ghosts.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3 h1 h2 h3 i1 i2 i3 j1 j2 j3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2c-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2c-check-depth-two-ghosts.test
new file mode 100644
index 0000000..9e727ce
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/7-2c-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 3, the evaluation function is called at level j,
+so Right should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/8-pacman-game.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/8-pacman-game.solution
new file mode 100644
index 0000000..ec0b0b8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/8-pacman-game.solution	
@@ -0,0 +1,444 @@
+optimalActions: """
+[[["West", "East"], 39], [["West", "East"], 27]]
+[[["West"], 75], [["West"], 57]]
+[[["West"], 95], [["West"], 77]]
+[[["West", "North"], 72], [["West", "North"], 54]]
+[[["West"], 51], [["West"], 39]]
+[[["West", "North"], 76], [["West", "North"], 58]]
+[[["West"], 69], [["West"], 51]]
+[[["West"], 34], [["West"], 23]]
+[[["North"], 55], [["North"], 41]]
+[[["North"], 63], [["North"], 32]]
+[[["North"], 87], [["North"], 43]]
+[[["North"], 69], [["North"], 34]]
+[[["Stop", "East"], 116], [["East"], 56]]
+[[["East"], 110], [["East"], 52]]
+[[["West"], 28], [["West"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["North"], 28], [["North"], 18]]
+[[["North"], 47], [["North"], 30]]
+[[["West"], 35], [["West"], 23]]
+[[["East"], 28], [["East"], 15]]
+[[["North"], 74], [["North"], 48]]
+[[["East", "North"], 130], [["East", "North"], 87]]
+[[["East", "North"], 213], [["East", "North"], 158]]
+[[["North", "South"], 101], [["North", "South"], 73]]
+[[["West"], 48], [["West"], 36]]
+[[["West"], 60], [["West"], 45]]
+[[["West", "Stop"], 49], [["West"], 36]]
+[[["West", "Stop", "East"], 69], [["West", "East"], 49]]
+[[["West", "Stop", "East"], 61], [["West", "East"], 41]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 28], [["East", "South"], 19]]
+[[["Stop", "East", "South"], 34], [["East", "South"], 23]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 81], [["East", "South"], 53]]
+[[["Stop", "East", "South"], 64], [["East", "South"], 43]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 81], [["East", "South"], 53]]
+[[["Stop", "East", "South"], 102], [["East", "South"], 67]]
+[[["Stop", "South"], 23], [["South"], 13]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 28], [["East", "North"], 18]]
+[[["East"], 35], [["East"], 22]]
+[[["North"], 28], [["North"], 18]]
+[[["North"], 38], [["North"], 22]]
+[[["East"], 30], [["East"], 20]]
+[[["East"], 33], [["East"], 18]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 33], [["East"], 23]]
+[[["East"], 48], [["East"], 29]]
+[[["East"], 49], [["East"], 26]]
+[[["East"], 44], [["East"], 29]]
+[[["North", "South"], 75], [["North", "South"], 52]]
+[[["East", "North"], 113], [["East", "North"], 74]]
+[[["East", "North"], 89], [["East", "North"], 65]]
+[[["North", "South"], 173], [["North", "South"], 130]]
+[[["West", "East"], 54], [["West", "East"], 42]]
+[[["West", "Stop", "East"], 130], [["West", "East"], 87]]
+[[["Stop", "East", "South"], 58], [["East", "South"], 43]]
+[[["Stop", "East"], 110], [["South"], 82]]
+[[["East"], 71], [["East"], 45]]
+[[["West"], 66], [["West"], 42]]
+[[["South"], 70], [["South"], 48]]
+[[["South"], 48], [["South"], 37]]
+[[["South"], 179], [["South"], 104]]
+[[["South"], 68], [["South"], 41]]
+[[["West"], 25], [["West"], 18]]
+[[["West"], 41], [["West"], 29]]
+[[["West"], 14], [["West"], 10]]
+[[["West"], 20], [["West"], 14]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 16], [["West"], 12]]
+[[["West", "North"], 28], [["West", "North"], 20]]
+[[["West"], 30], [["West"], 23]]
+[[["West", "Stop", "East", "North"], 66], [["West", "East", "North"], 46]]
+[[["West", "Stop", "East"], 126], [["West", "East"], 89]]
+[[["West", "Stop", "East"], 30], [["West", "East"], 20]]
+[[["Stop", "East", "North"], 67], [["East", "North"], 45]]
+[[["Stop", "North"], 52], [["North"], 27]]
+[[["North"], 30], [["North"], 19]]
+[[["North"], 28], [["North"], 17]]
+[[["North"], 17], [["North"], 11]]
+[[["North"], 30], [["North"], 19]]
+[[["East"], 28], [["East"], 17]]
+[[["East"], 17], [["East"], 11]]
+[[["East"], 40], [["East"], 29]]
+[[["East", "South"], 79], [["East", "South"], 60]]
+[[["East", "South"], 90], [["East", "South"], 62]]
+[[["South"], 96], [["South"], 61]]
+[[["North", "South"], 195], [["North", "South"], 132]]
+[[["West"], 80], [["West"], 60]]
+[[["West", "Stop", "East", "South"], 83], [["West", "East", "South"], 61]]
+[[["West", "Stop", "East", "South"], 90], [["West", "East", "South"], 66]]
+[[["West", "Stop", "East"], 134], [["West", "East"], 95]]
+[[["West", "Stop", "East"], 82], [["West", "East"], 55]]
+[[["Stop", "East", "South"], 142], [["East", "South"], 95]]
+[[["Stop", "East", "South"], 95], [["East", "South"], 62]]
+[[["Stop", "East", "South"], 128], [["East", "South"], 86]]
+[[["Stop", "East", "South"], 82], [["East", "South"], 55]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 182], [["East", "South"], 119]]
+[[["Stop", "East", "South"], 154], [["East", "South"], 103]]
+[[["Stop", "South"], 46], [["South"], 25]]
+[[["South"], 28], [["South"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 28], [["East", "North"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 34], [["East", "North"], 24]]
+[[["East"], 56], [["East"], 29]]
+[[["East"], 17], [["East"], 11]]
+[[["East"], 26], [["East"], 15]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 27], [["East"], 17]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 37], [["East", "North"], 24]]
+[[["East"], 56], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["North"], 26], [["North"], 15]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 30], [["North"], 19]]
+[[["West"], 28], [["West"], 19]]
+[[["West"], 23], [["West"], 13]]
+[[["West", "Stop", "East"], 7], [["West", "East"], 3]]
+"""
+altDepthActions: """
+[["West", "East"], ["West", "East"], ["West", "East"], ["West", "East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["Stop", "North"], ["North"]]
+[["East"], ["East"], ["Stop", "East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["West"], ["West"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West", "Stop"], ["West"]]
+[["West"], ["West"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North", "South"], ["North", "South"], ["South"], ["South"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West", "East"], ["West", "East"], ["East"], ["East"]]
+[["West"], ["West"], ["East"], ["East"]]
+[["Stop", "East", "South"], ["East", "South"], ["East"], ["East"]]
+[["Stop", "East"], ["East"], ["Stop", "East"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["West", "East"], ["West", "East"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"], ["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"], ["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"], ["Stop", "North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["North", "South"], ["North", "South"], ["North", "South"], ["North", "South"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+"""
+partialPlyBugActions: """
+[["West", "East"], ["West", "East"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["Stop", "East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North", "South"], ["North", "South"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East"], ["East"]]
+[["East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"]]
+[["South"], ["South"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/8-pacman-game.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/8-pacman-game.test
new file mode 100644
index 0000000..56341ae
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/8-pacman-game.test	
@@ -0,0 +1,19 @@
+class: "PacmanGameTreeTest"
+alg: "AlphaBetaAgent"
+seed: "0"
+depth: "2"
+max_points: "4"
+
+# The following specifies the layout to be used 
+layoutName: "smallClassic"
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/CONFIG b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/CONFIG
new file mode 100644
index 0000000..a5adc3f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q3/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-1.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-1.solution
new file mode 100644
index 0000000..6409bcc
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-1.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-eval-function-lose-states-1.test.
+action: "Left"
+generated: "lose1 lose2 root"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-1.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-1.test
new file mode 100644
index 0000000..db78a7b
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-1.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 1.0
+lose2 0.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-2.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-2.solution
new file mode 100644
index 0000000..e4d7abc
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-2.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-eval-function-lose-states-2.test.
+action: "Right"
+generated: "lose1 lose2 root"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-2.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-2.test
new file mode 100644
index 0000000..181ae48
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-lose-states-2.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      0       1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 0.0
+lose2 1.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-1.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-1.solution
new file mode 100644
index 0000000..cb5d436
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-1.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-eval-function-win-states-1.test.
+action: "Left"
+generated: "root win1 win2"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-1.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-1.test
new file mode 100644
index 0000000..d4ffd1b
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-1.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1     win2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 1.0
+win2 0.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-2.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-2.solution
new file mode 100644
index 0000000..76d6e48
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-2.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-eval-function-win-states-2.test.
+action: "Right"
+generated: "root win1 win2"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-2.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-2.test
new file mode 100644
index 0000000..4fdd8fc
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-eval-function-win-states-2.test	
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1    win2
+      0      1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 0.0
+win2 1.0
+"""
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-expectimax1.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-expectimax1.solution
new file mode 100644
index 0000000..ff7dfe6
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-expectimax1.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-expectimax1.test.
+action: "Left"
+generated: "A B C D E F G H I exp1 exp2 exp3 max"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-expectimax1.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-expectimax1.test
new file mode 100644
index 0000000..deee59a
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/0-expectimax1.test	
@@ -0,0 +1,48 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+#  Tree adapted from lecture 6 slides
+diagram: """
+           max
+      /-/   |   \--\
+     /      |       \
+    /       |        \
+ exp1      exp2      exp3
+  /|\      /|\       /|\ 
+ / | \    / | \     / | \
+A  B  C  D  E  F   G  H  I  
+3 12  8  2  4  6  14  5  2
+"""
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B C D E F G H I"
+lose_states: ""
+
+successors: """
+max Left exp1
+max Center exp2
+max Right exp3
+exp1 Left A
+exp1 Center B
+exp1 Right C
+exp2 Left D
+exp2 Center E
+exp2 Right F
+exp3 Left G
+exp3 Center H
+exp3 Right I
+"""
+
+evaluation: """
+A 3.0
+B 12.0
+C 8.0
+D 2.0
+E 4.0
+F 6.0
+G 14.0
+H 5.0
+I 2.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/1-expectimax2.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/1-expectimax2.solution
new file mode 100644
index 0000000..30c8768
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/1-expectimax2.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/1-expectimax2.test.
+action: "Left"
+generated: "A B C D E F G H I exp1 exp2 exp3 max"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/1-expectimax2.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/1-expectimax2.test
new file mode 100644
index 0000000..d220fe6
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/1-expectimax2.test	
@@ -0,0 +1,48 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+#  Tree from lecture 7 slides
+diagram: """
+           max
+      /-/   |   \--\
+     /      |       \
+    /       |        \
+ exp1      exp2      exp3
+  /|\      /|\       /|\ 
+ / | \    / | \     / | \
+A  B  C  D  E  F   G  H  I  
+3 12  9  2  4  6  15  6  0
+"""
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B C D E F G H I"
+lose_states: ""
+
+successors: """
+max Left exp1
+max Center exp2
+max Right exp3
+exp1 Left A
+exp1 Center B
+exp1 Right C
+exp2 Left D
+exp2 Center E
+exp2 Right F
+exp3 Left G
+exp3 Center H
+exp3 Right I
+"""
+
+evaluation: """
+A 3.0
+B 12.0
+C 9.0
+D 2.0
+E 4.0
+F 6.0
+G 15.0
+H 6.0
+I 0.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/2-one-ghost-3level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/2-one-ghost-3level.solution
new file mode 100644
index 0000000..bde5c83
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/2-one-ghost-3level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/2-one-ghost-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/2-one-ghost-3level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/2-one-ghost-3level.test
new file mode 100644
index 0000000..5778a1d
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/2-one-ghost-3level.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - exp
+c - max
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/3-one-ghost-4level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/3-one-ghost-4level.solution
new file mode 100644
index 0000000..4ba2b47
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/3-one-ghost-4level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/3-one-ghost-4level.test.
+action: "Right"
+generated: "A B C D E F G H I J K L M N O P a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/3-one-ghost-4level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/3-one-ghost-4level.test
new file mode 100644
index 0000000..6490a48
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/3-one-ghost-4level.test	
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - exp
+c - max
+d - exp
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/4-two-ghosts-3level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/4-two-ghosts-3level.solution
new file mode 100644
index 0000000..6dbd664
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/4-two-ghosts-3level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/4-two-ghosts-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/4-two-ghosts-3level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/4-two-ghosts-3level.test
new file mode 100644
index 0000000..d39bf1c
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/4-two-ghosts-3level.test	
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - exp
+c - exp
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/5-two-ghosts-4level.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/5-two-ghosts-4level.solution
new file mode 100644
index 0000000..caccbea
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/5-two-ghosts-4level.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/5-two-ghosts-4level.test.
+action: "Left"
+generated: "A B C D E F G H I J K L M N O P a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/5-two-ghosts-4level.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/5-two-ghosts-4level.test
new file mode 100644
index 0000000..b2d2733
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/5-two-ghosts-4level.test	
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - exp
+c - exp
+d - max
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1a-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1a-check-depth-one-ghost.solution
new file mode 100644
index 0000000..22aebdc
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1a-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-1a-check-depth-one-ghost.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1a-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1a-check-depth-one-ghost.test
new file mode 100644
index 0000000..4d36ea5
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1a-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 1, the evaluation function is called at level c,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1b-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1b-check-depth-one-ghost.solution
new file mode 100644
index 0000000..e34e3d3
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1b-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-1b-check-depth-one-ghost.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1b-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1b-check-depth-one-ghost.test
new file mode 100644
index 0000000..a63d167
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1b-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 2, the evaluation function is called at level e,
+so Center should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1c-check-depth-one-ghost.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1c-check-depth-one-ghost.solution
new file mode 100644
index 0000000..cd33b5a
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1c-check-depth-one-ghost.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-1c-check-depth-one-ghost.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1c-check-depth-one-ghost.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1c-check-depth-one-ghost.test
new file mode 100644
index 0000000..84e78f0
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-1c-check-depth-one-ghost.test	
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 3, the evaluation function is called at level g,
+so Right should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2a-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2a-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..0e9c9e9
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2a-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-2a-check-depth-two-ghosts.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2a-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2a-check-depth-two-ghosts.test
new file mode 100644
index 0000000..36ecd4e
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2a-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 1, the evaluation function is called at level d,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2b-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2b-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..3fcde21
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2b-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-2b-check-depth-two-ghosts.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2b-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2b-check-depth-two-ghosts.test
new file mode 100644
index 0000000..d1b85b7
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2b-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 2, the evaluation function is called at level g,
+so Center should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2c-check-depth-two-ghosts.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2c-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..bad1cf9
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2c-check-depth-two-ghosts.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-2c-check-depth-two-ghosts.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3 h1 h2 h3 i1 i2 i3 j1 j2 j3"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2c-check-depth-two-ghosts.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2c-check-depth-two-ghosts.test
new file mode 100644
index 0000000..6c4c9ea
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/6-2c-check-depth-two-ghosts.test	
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 3, the evaluation function is called at level j,
+so Right should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/7-pacman-game.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/7-pacman-game.solution
new file mode 100644
index 0000000..ecc544b
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/7-pacman-game.solution	
@@ -0,0 +1,444 @@
+optimalActions: """
+[[["West", "East"], 59], [["West", "East"], 35]]
+[[["West"], 190], [["West"], 127]]
+[[["West"], 190], [["West"], 135]]
+[[["West", "North"], 120], [["West", "North"], 82]]
+[[["West"], 77], [["West"], 57]]
+[[["West", "North"], 143], [["West", "North"], 97]]
+[[["West"], 155], [["West"], 110]]
+[[["West"], 40], [["West"], 27]]
+[[["North"], 64], [["North"], 43]]
+[[["North"], 85], [["North"], 57]]
+[[["North"], 106], [["North"], 71]]
+[[["North"], 97], [["North"], 65]]
+[[["East"], 154], [["East"], 103]]
+[[["Stop"], 130], [["West"], 85]]
+[[["West"], 30], [["West"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["North"], 29], [["North"], 18]]
+[[["North"], 50], [["North"], 31]]
+[[["West"], 55], [["West"], 36]]
+[[["East"], 29], [["East"], 16]]
+[[["North"], 89], [["North"], 61]]
+[[["East", "North"], 161], [["East", "North"], 121]]
+[[["East", "North"], 221], [["East", "North"], 166]]
+[[["North", "South"], 105], [["North", "South"], 77]]
+[[["West"], 69], [["West"], 51]]
+[[["West"], 94], [["West"], 69]]
+[[["West", "Stop"], 57], [["West"], 42]]
+[[["West", "Stop", "East"], 69], [["West", "East"], 49]]
+[[["West", "Stop", "East"], 61], [["West", "East"], 41]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 28], [["East", "South"], 19]]
+[[["Stop", "East", "South"], 34], [["East", "South"], 23]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 64], [["East", "South"], 43]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 102], [["East", "South"], 67]]
+[[["Stop", "South"], 23], [["South"], 13]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 29], [["East", "North"], 18]]
+[[["East"], 38], [["East"], 22]]
+[[["North"], 29], [["North"], 18]]
+[[["North"], 38], [["North"], 22]]
+[[["East"], 33], [["East"], 22]]
+[[["East"], 37], [["East"], 18]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 37], [["East"], 26]]
+[[["East"], 69], [["East"], 41]]
+[[["East"], 56], [["East"], 26]]
+[[["East"], 44], [["East"], 29]]
+[[["North", "South"], 83], [["North", "South"], 52]]
+[[["East", "North"], 121], [["East", "North"], 74]]
+[[["East", "North"], 97], [["East", "North"], 73]]
+[[["North", "South"], 173], [["North", "South"], 130]]
+[[["West", "East"], 90], [["West", "East"], 66]]
+[[["West", "Stop", "East"], 161], [["West", "East"], 118]]
+[[["Stop", "East", "South"], 58], [["East", "South"], 43]]
+[[["Stop", "East"], 120], [["East"], 85]]
+[[["East"], 78], [["East"], 45]]
+[[["West"], 77], [["West"], 42]]
+[[["South"], 83], [["South"], 48]]
+[[["South"], 49], [["South"], 37]]
+[[["South"], 185], [["South"], 104]]
+[[["South"], 68], [["South"], 41]]
+[[["West"], 30], [["West"], 18]]
+[[["West"], 56], [["West"], 29]]
+[[["West"], 14], [["West"], 10]]
+[[["West"], 20], [["West"], 14]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 16], [["West"], 12]]
+[[["West", "North"], 30], [["West", "North"], 20]]
+[[["West"], 38], [["West"], 23]]
+[[["West", "Stop", "East", "North"], 70], [["West", "East", "North"], 46]]
+[[["West", "Stop", "East"], 128], [["West", "East"], 89]]
+[[["West", "Stop", "East"], 31], [["West", "East"], 20]]
+[[["Stop", "East", "North"], 69], [["East", "North"], 45]]
+[[["Stop", "North"], 58], [["North"], 31]]
+[[["North"], 34], [["North"], 19]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 34], [["North"], 19]]
+[[["East"], 30], [["East"], 17]]
+[[["East"], 19], [["East"], 11]]
+[[["East"], 44], [["East"], 29]]
+[[["East", "South"], 87], [["East", "South"], 60]]
+[[["East", "South"], 108], [["East", "South"], 62]]
+[[["South"], 120], [["South"], 61]]
+[[["North", "South"], 209], [["North", "South"], 132]]
+[[["West"], 108], [["West"], 60]]
+[[["West", "Stop", "East", "South"], 83], [["West", "East", "South"], 61]]
+[[["West", "Stop", "East", "South"], 90], [["West", "East", "South"], 66]]
+[[["West", "Stop", "East"], 134], [["West", "East"], 95]]
+[[["West", "Stop", "East"], 82], [["West", "East"], 55]]
+[[["Stop", "East", "South"], 142], [["East", "South"], 95]]
+[[["Stop", "East", "South"], 98], [["East", "South"], 65]]
+[[["Stop", "East", "South"], 128], [["East", "South"], 86]]
+[[["Stop", "East", "South"], 82], [["East", "South"], 55]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 190], [["East", "South"], 127]]
+[[["Stop", "East", "South"], 158], [["East", "South"], 103]]
+[[["Stop", "South"], 50], [["South"], 27]]
+[[["South"], 30], [["South"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 29], [["East", "North"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 41], [["East", "North"], 24]]
+[[["East"], 59], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["East"], 26], [["East"], 15]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 29], [["East"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 41], [["East", "North"], 24]]
+[[["East"], 59], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["North"], 26], [["North"], 15]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 34], [["North"], 19]]
+[[["West"], 34], [["West"], 19]]
+[[["West"], 25], [["West"], 13]]
+[[["West", "Stop", "East"], 7], [["West", "East"], 3]]
+"""
+altDepthActions: """
+[["West", "East"], ["West", "East"], ["West", "East"], ["West", "East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West", "Stop"], ["West"], ["Stop"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["West"], ["West"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West", "Stop"], ["West"]]
+[["West"], ["West"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
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+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
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+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
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+[["East"], ["East"], ["East"], ["East"]]
+[["North", "South"], ["North", "South"], ["South"], ["South"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West", "East"], ["West", "East"], ["East"], ["East"]]
+[["West"], ["West"], ["East"], ["East"]]
+[["Stop", "East", "South"], ["East", "South"], ["East"], ["East"]]
+[["Stop", "East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["West", "East"], ["West", "East"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
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+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"], ["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"], ["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"], ["Stop", "North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["North", "South"], ["North", "South"], ["North", "South"], ["North", "South"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+"""
+partialPlyBugActions: """
+[["West", "East"], ["West", "East"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
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+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["Stop"], ["West"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
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+[["East"], ["East"]]
+[["East"], ["East"]]
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+[["North", "South"], ["North", "South"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East"], ["East"]]
+[["East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
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+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"]]
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+[["North"], ["North"]]
+[["North"], ["North"]]
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+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"]]
+[["South"], ["South"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
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+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
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+[["East"], ["East"]]
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+[["East", "North"], ["East", "North"]]
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+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+"""
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/7-pacman-game.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/7-pacman-game.test
new file mode 100644
index 0000000..435cf2f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/7-pacman-game.test	
@@ -0,0 +1,19 @@
+class: "PacmanGameTreeTest"
+alg: "ExpectimaxAgent"
+seed: "0"
+depth: "2"
+max_points: "4"
+
+# The following specifies the layout to be used 
+layoutName: "smallClassic"
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/CONFIG b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/CONFIG
new file mode 100644
index 0000000..a5adc3f
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q4/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/CONFIG b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/CONFIG
new file mode 100644
index 0000000..df50d84
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "6"
+class: "PartialCreditQuestion"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/grade-agent.solution b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/grade-agent.solution
new file mode 100644
index 0000000..55fcfc8
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/grade-agent.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/grade-agent.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/grade-agent.test b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/grade-agent.test
new file mode 100644
index 0000000..4109586
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/test_cases/q5/grade-agent.test	
@@ -0,0 +1,18 @@
+class: "EvalAgentTest"
+
+agentName: "ExpectimaxAgent"
+agentArgs: "evalFn=better"
+layoutName: "smallClassic"
+maxTime: "120"
+numGames: "10"
+
+nonTimeoutMinimum: "0"
+nonTimeoutThresholds: "10"
+
+scoreThresholds: "500 1000"
+
+winsMinimum: "1"
+winsThresholds: "1 5 10"
+
+randomSeed: "0"
+ghosts: "[RandomGhost(1)]"
diff --git a/cs188-projects-master/P2 Multi-Agent Search/textDisplay.py b/cs188-projects-master/P2 Multi-Agent Search/textDisplay.py
new file mode 100644
index 0000000..e920ad4
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/textDisplay.py	
@@ -0,0 +1,81 @@
+# textDisplay.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import time
+try: 
+    import pacman
+except:
+    pass
+
+DRAW_EVERY = 1
+SLEEP_TIME = 0 # This can be overwritten by __init__
+DISPLAY_MOVES = False
+QUIET = False # Supresses output
+
+class NullGraphics:
+    def initialize(self, state, isBlue = False):
+        pass
+
+    def update(self, state):
+        pass
+
+    def checkNullDisplay(self):
+        return True
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def updateDistributions(self, dist):
+        pass
+
+    def finish(self):
+        pass
+
+class PacmanGraphics:
+    def __init__(self, speed=None):
+        if speed != None:
+            global SLEEP_TIME
+            SLEEP_TIME = speed
+
+    def initialize(self, state, isBlue = False):
+        self.draw(state)
+        self.pause()
+        self.turn = 0
+        self.agentCounter = 0
+
+    def update(self, state):
+        numAgents = len(state.agentStates)
+        self.agentCounter = (self.agentCounter + 1) % numAgents
+        if self.agentCounter == 0:
+            self.turn += 1
+            if DISPLAY_MOVES:
+                ghosts = [pacman.nearestPoint(state.getGhostPosition(i)) for i in range(1, numAgents)]
+                print "%4d) P: %-8s" % (self.turn, str(pacman.nearestPoint(state.getPacmanPosition()))),'| Score: %-5d' % state.score,'| Ghosts:', ghosts
+            if self.turn % DRAW_EVERY == 0:
+                self.draw(state)
+                self.pause()
+        if state._win or state._lose:
+            self.draw(state)
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def finish(self):
+        pass
diff --git a/cs188-projects-master/P2 Multi-Agent Search/textDisplay.pyc b/cs188-projects-master/P2 Multi-Agent Search/textDisplay.pyc
new file mode 100644
index 0000000..ed439be
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/textDisplay.pyc differ
diff --git a/cs188-projects-master/P2 Multi-Agent Search/util.py b/cs188-projects-master/P2 Multi-Agent Search/util.py
new file mode 100644
index 0000000..5b066ed
--- /dev/null
+++ b/cs188-projects-master/P2 Multi-Agent Search/util.py	
@@ -0,0 +1,674 @@
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import inspect
+import heapq, random
+import cStringIO
+
+
+class FixedRandom:
+    def __init__(self):
+        fixedState = (3, (2147483648L, 507801126L, 683453281L, 310439348L, 2597246090L, \
+            2209084787L, 2267831527L, 979920060L, 3098657677L, 37650879L, 807947081L, 3974896263L, \
+            881243242L, 3100634921L, 1334775171L, 3965168385L, 746264660L, 4074750168L, 500078808L, \
+            776561771L, 702988163L, 1636311725L, 2559226045L, 157578202L, 2498342920L, 2794591496L, \
+            4130598723L, 496985844L, 2944563015L, 3731321600L, 3514814613L, 3362575829L, 3038768745L, \
+            2206497038L, 1108748846L, 1317460727L, 3134077628L, 988312410L, 1674063516L, 746456451L, \
+            3958482413L, 1857117812L, 708750586L, 1583423339L, 3466495450L, 1536929345L, 1137240525L, \
+            3875025632L, 2466137587L, 1235845595L, 4214575620L, 3792516855L, 657994358L, 1241843248L, \
+            1695651859L, 3678946666L, 1929922113L, 2351044952L, 2317810202L, 2039319015L, 460787996L, \
+            3654096216L, 4068721415L, 1814163703L, 2904112444L, 1386111013L, 574629867L, 2654529343L, \
+            3833135042L, 2725328455L, 552431551L, 4006991378L, 1331562057L, 3710134542L, 303171486L, \
+            1203231078L, 2670768975L, 54570816L, 2679609001L, 578983064L, 1271454725L, 3230871056L, \
+            2496832891L, 2944938195L, 1608828728L, 367886575L, 2544708204L, 103775539L, 1912402393L, \
+            1098482180L, 2738577070L, 3091646463L, 1505274463L, 2079416566L, 659100352L, 839995305L, \
+            1696257633L, 274389836L, 3973303017L, 671127655L, 1061109122L, 517486945L, 1379749962L, \
+            3421383928L, 3116950429L, 2165882425L, 2346928266L, 2892678711L, 2936066049L, 1316407868L, \
+            2873411858L, 4279682888L, 2744351923L, 3290373816L, 1014377279L, 955200944L, 4220990860L, \
+            2386098930L, 1772997650L, 3757346974L, 1621616438L, 2877097197L, 442116595L, 2010480266L, \
+            2867861469L, 2955352695L, 605335967L, 2222936009L, 2067554933L, 4129906358L, 1519608541L, \
+            1195006590L, 1942991038L, 2736562236L, 279162408L, 1415982909L, 4099901426L, 1732201505L, \
+            2934657937L, 860563237L, 2479235483L, 3081651097L, 2244720867L, 3112631622L, 1636991639L, \
+            3860393305L, 2312061927L, 48780114L, 1149090394L, 2643246550L, 1764050647L, 3836789087L, \
+            3474859076L, 4237194338L, 1735191073L, 2150369208L, 92164394L, 756974036L, 2314453957L, \
+            323969533L, 4267621035L, 283649842L, 810004843L, 727855536L, 1757827251L, 3334960421L, \
+            3261035106L, 38417393L, 2660980472L, 1256633965L, 2184045390L, 811213141L, 2857482069L, \
+            2237770878L, 3891003138L, 2787806886L, 2435192790L, 2249324662L, 3507764896L, 995388363L, \
+            856944153L, 619213904L, 3233967826L, 3703465555L, 3286531781L, 3863193356L, 2992340714L, \
+            413696855L, 3865185632L, 1704163171L, 3043634452L, 2225424707L, 2199018022L, 3506117517L, \
+            3311559776L, 3374443561L, 1207829628L, 668793165L, 1822020716L, 2082656160L, 1160606415L, \
+            3034757648L, 741703672L, 3094328738L, 459332691L, 2702383376L, 1610239915L, 4162939394L, \
+            557861574L, 3805706338L, 3832520705L, 1248934879L, 3250424034L, 892335058L, 74323433L, \
+            3209751608L, 3213220797L, 3444035873L, 3743886725L, 1783837251L, 610968664L, 580745246L, \
+            4041979504L, 201684874L, 2673219253L, 1377283008L, 3497299167L, 2344209394L, 2304982920L, \
+            3081403782L, 2599256854L, 3184475235L, 3373055826L, 695186388L, 2423332338L, 222864327L, \
+            1258227992L, 3627871647L, 3487724980L, 4027953808L, 3053320360L, 533627073L, 3026232514L, \
+            2340271949L, 867277230L, 868513116L, 2158535651L, 2487822909L, 3428235761L, 3067196046L, \
+            3435119657L, 1908441839L, 788668797L, 3367703138L, 3317763187L, 908264443L, 2252100381L, \
+            764223334L, 4127108988L, 384641349L, 3377374722L, 1263833251L, 1958694944L, 3847832657L, \
+            1253909612L, 1096494446L, 555725445L, 2277045895L, 3340096504L, 1383318686L, 4234428127L, \
+            1072582179L, 94169494L, 1064509968L, 2681151917L, 2681864920L, 734708852L, 1338914021L, \
+            1270409500L, 1789469116L, 4191988204L, 1716329784L, 2213764829L, 3712538840L, 919910444L, \
+            1318414447L, 3383806712L, 3054941722L, 3378649942L, 1205735655L, 1268136494L, 2214009444L, \
+            2532395133L, 3232230447L, 230294038L, 342599089L, 772808141L, 4096882234L, 3146662953L, \
+            2784264306L, 1860954704L, 2675279609L, 2984212876L, 2466966981L, 2627986059L, 2985545332L, \
+            2578042598L, 1458940786L, 2944243755L, 3959506256L, 1509151382L, 325761900L, 942251521L, \
+            4184289782L, 2756231555L, 3297811774L, 1169708099L, 3280524138L, 3805245319L, 3227360276L, \
+            3199632491L, 2235795585L, 2865407118L, 36763651L, 2441503575L, 3314890374L, 1755526087L, \
+            17915536L, 1196948233L, 949343045L, 3815841867L, 489007833L, 2654997597L, 2834744136L, \
+            417688687L, 2843220846L, 85621843L, 747339336L, 2043645709L, 3520444394L, 1825470818L, \
+            647778910L, 275904777L, 1249389189L, 3640887431L, 4200779599L, 323384601L, 3446088641L, \
+            4049835786L, 1718989062L, 3563787136L, 44099190L, 3281263107L, 22910812L, 1826109246L, \
+            745118154L, 3392171319L, 1571490704L, 354891067L, 815955642L, 1453450421L, 940015623L, \
+            796817754L, 1260148619L, 3898237757L, 176670141L, 1870249326L, 3317738680L, 448918002L, \
+            4059166594L, 2003827551L, 987091377L, 224855998L, 3520570137L, 789522610L, 2604445123L, \
+            454472869L, 475688926L, 2990723466L, 523362238L, 3897608102L, 806637149L, 2642229586L, \
+            2928614432L, 1564415411L, 1691381054L, 3816907227L, 4082581003L, 1895544448L, 3728217394L, \
+            3214813157L, 4054301607L, 1882632454L, 2873728645L, 3694943071L, 1297991732L, 2101682438L, \
+            3952579552L, 678650400L, 1391722293L, 478833748L, 2976468591L, 158586606L, 2576499787L, \
+            662690848L, 3799889765L, 3328894692L, 2474578497L, 2383901391L, 1718193504L, 3003184595L, \
+            3630561213L, 1929441113L, 3848238627L, 1594310094L, 3040359840L, 3051803867L, 2462788790L, \
+            954409915L, 802581771L, 681703307L, 545982392L, 2738993819L, 8025358L, 2827719383L, \
+            770471093L, 3484895980L, 3111306320L, 3900000891L, 2116916652L, 397746721L, 2087689510L, \
+            721433935L, 1396088885L, 2751612384L, 1998988613L, 2135074843L, 2521131298L, 707009172L, \
+            2398321482L, 688041159L, 2264560137L, 482388305L, 207864885L, 3735036991L, 3490348331L, \
+            1963642811L, 3260224305L, 3493564223L, 1939428454L, 1128799656L, 1366012432L, 2858822447L, \
+            1428147157L, 2261125391L, 1611208390L, 1134826333L, 2374102525L, 3833625209L, 2266397263L, \
+            3189115077L, 770080230L, 2674657172L, 4280146640L, 3604531615L, 4235071805L, 3436987249L, \
+            509704467L, 2582695198L, 4256268040L, 3391197562L, 1460642842L, 1617931012L, 457825497L, \
+            1031452907L, 1330422862L, 4125947620L, 2280712485L, 431892090L, 2387410588L, 2061126784L, \
+            896457479L, 3480499461L, 2488196663L, 4021103792L, 1877063114L, 2744470201L, 1046140599L, \
+            2129952955L, 3583049218L, 4217723693L, 2720341743L, 820661843L, 1079873609L, 3360954200L, \
+            3652304997L, 3335838575L, 2178810636L, 1908053374L, 4026721976L, 1793145418L, 476541615L, \
+            973420250L, 515553040L, 919292001L, 2601786155L, 1685119450L, 3030170809L, 1590676150L, \
+            1665099167L, 651151584L, 2077190587L, 957892642L, 646336572L, 2743719258L, 866169074L, \
+            851118829L, 4225766285L, 963748226L, 799549420L, 1955032629L, 799460000L, 2425744063L, \
+            2441291571L, 1928963772L, 528930629L, 2591962884L, 3495142819L, 1896021824L, 901320159L, \
+            3181820243L, 843061941L, 3338628510L, 3782438992L, 9515330L, 1705797226L, 953535929L, \
+            764833876L, 3202464965L, 2970244591L, 519154982L, 3390617541L, 566616744L, 3438031503L, \
+            1853838297L, 170608755L, 1393728434L, 676900116L, 3184965776L, 1843100290L, 78995357L, \
+            2227939888L, 3460264600L, 1745705055L, 1474086965L, 572796246L, 4081303004L, 882828851L, \
+            1295445825L, 137639900L, 3304579600L, 2722437017L, 4093422709L, 273203373L, 2666507854L, \
+            3998836510L, 493829981L, 1623949669L, 3482036755L, 3390023939L, 833233937L, 1639668730L, \
+            1499455075L, 249728260L, 1210694006L, 3836497489L, 1551488720L, 3253074267L, 3388238003L, \
+            2372035079L, 3945715164L, 2029501215L, 3362012634L, 2007375355L, 4074709820L, 631485888L, \
+            3135015769L, 4273087084L, 3648076204L, 2739943601L, 1374020358L, 1760722448L, 3773939706L, \
+            1313027823L, 1895251226L, 4224465911L, 421382535L, 1141067370L, 3660034846L, 3393185650L, \
+            1850995280L, 1451917312L, 3841455409L, 3926840308L, 1397397252L, 2572864479L, 2500171350L, \
+            3119920613L, 531400869L, 1626487579L, 1099320497L, 407414753L, 2438623324L, 99073255L, \
+            3175491512L, 656431560L, 1153671785L, 236307875L, 2824738046L, 2320621382L, 892174056L, \
+            230984053L, 719791226L, 2718891946L, 624L), None)
+        self.random = random.Random()
+        self.random.setstate(fixedState)
+
+"""
+ Data structures useful for implementing SearchAgents
+"""
+
+class Stack:
+    "A container with a last-in-first-out (LIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Push 'item' onto the stack"
+        self.list.append(item)
+
+    def pop(self):
+        "Pop the most recently pushed item from the stack"
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the stack is empty"
+        return len(self.list) == 0
+
+class Queue:
+    "A container with a first-in-first-out (FIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Enqueue the 'item' into the queue"
+        self.list.insert(0,item)
+
+    def pop(self):
+        """
+          Dequeue the earliest enqueued item still in the queue. This
+          operation removes the item from the queue.
+        """
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the queue is empty"
+        return len(self.list) == 0
+
+class PriorityQueue:
+    """
+      Implements a priority queue data structure. Each inserted item
+      has a priority associated with it and the client is usually interested
+      in quick retrieval of the lowest-priority item in the queue. This
+      data structure allows O(1) access to the lowest-priority item.
+    """
+    def  __init__(self):
+        self.heap = []
+        self.count = 0
+
+    def push(self, item, priority):
+        entry = (priority, self.count, item)
+        heapq.heappush(self.heap, entry)
+        self.count += 1
+
+    def pop(self):
+        (_, _, item) = heapq.heappop(self.heap)
+        return item
+
+    def isEmpty(self):
+        return len(self.heap) == 0
+
+    def update(self, item, priority):
+        # If item already in priority queue with higher priority, update its priority and rebuild the heap.
+        # If item already in priority queue with equal or lower priority, do nothing.
+        # If item not in priority queue, do the same thing as self.push.
+        for index, (p, c, i) in enumerate(self.heap):
+            if i == item:
+                if p <= priority:
+                    break
+                del self.heap[index]
+                self.heap.append((priority, c, item))
+                heapq.heapify(self.heap)
+                break
+        else:
+            self.push(item, priority)
+
+class PriorityQueueWithFunction(PriorityQueue):
+    """
+    Implements a priority queue with the same push/pop signature of the
+    Queue and the Stack classes. This is designed for drop-in replacement for
+    those two classes. The caller has to provide a priority function, which
+    extracts each item's priority.
+    """
+    def  __init__(self, priorityFunction):
+        "priorityFunction (item) -> priority"
+        self.priorityFunction = priorityFunction      # store the priority function
+        PriorityQueue.__init__(self)        # super-class initializer
+
+    def push(self, item):
+        "Adds an item to the queue with priority from the priority function"
+        PriorityQueue.push(self, item, self.priorityFunction(item))
+
+
+def manhattanDistance( xy1, xy2 ):
+    "Returns the Manhattan distance between points xy1 and xy2"
+    return abs( xy1[0] - xy2[0] ) + abs( xy1[1] - xy2[1] )
+
+"""
+  Data structures and functions useful for various course projects
+
+  The search project should not need anything below this line.
+"""
+
+class Counter(dict):
+    """
+    A counter keeps track of counts for a set of keys.
+
+    The counter class is an extension of the standard python
+    dictionary type.  It is specialized to have number values
+    (integers or floats), and includes a handful of additional
+    functions to ease the task of counting data.  In particular,
+    all keys are defaulted to have value 0.  Using a dictionary:
+
+    a = {}
+    print a['test']
+
+    would give an error, while the Counter class analogue:
+
+    >>> a = Counter()
+    >>> print a['test']
+    0
+
+    returns the default 0 value. Note that to reference a key
+    that you know is contained in the counter,
+    you can still use the dictionary syntax:
+
+    >>> a = Counter()
+    >>> a['test'] = 2
+    >>> print a['test']
+    2
+
+    This is very useful for counting things without initializing their counts,
+    see for example:
+
+    >>> a['blah'] += 1
+    >>> print a['blah']
+    1
+
+    The counter also includes additional functionality useful in implementing
+    the classifiers for this assignment.  Two counters can be added,
+    subtracted or multiplied together.  See below for details.  They can
+    also be normalized and their total count and arg max can be extracted.
+    """
+    def __getitem__(self, idx):
+        self.setdefault(idx, 0)
+        return dict.__getitem__(self, idx)
+
+    def incrementAll(self, keys, count):
+        """
+        Increments all elements of keys by the same count.
+
+        >>> a = Counter()
+        >>> a.incrementAll(['one','two', 'three'], 1)
+        >>> a['one']
+        1
+        >>> a['two']
+        1
+        """
+        for key in keys:
+            self[key] += count
+
+    def argMax(self):
+        """
+        Returns the key with the highest value.
+        """
+        if len(self.keys()) == 0: return None
+        all = self.items()
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def sortedKeys(self):
+        """
+        Returns a list of keys sorted by their values.  Keys
+        with the highest values will appear first.
+
+        >>> a = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> a['third'] = 1
+        >>> a.sortedKeys()
+        ['second', 'third', 'first']
+        """
+        sortedItems = self.items()
+        compare = lambda x, y:  sign(y[1] - x[1])
+        sortedItems.sort(cmp=compare)
+        return [x[0] for x in sortedItems]
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
+
+    def normalize(self):
+        """
+        Edits the counter such that the total count of all
+        keys sums to 1.  The ratio of counts for all keys
+        will remain the same. Note that normalizing an empty
+        Counter will result in an error.
+        """
+        total = float(self.totalCount())
+        if total == 0: return
+        for key in self.keys():
+            self[key] = self[key] / total
+
+    def divideAll(self, divisor):
+        """
+        Divides all counts by divisor
+        """
+        divisor = float(divisor)
+        for key in self:
+            self[key] /= divisor
+
+    def copy(self):
+        """
+        Returns a copy of the counter
+        """
+        return Counter(dict.copy(self))
+
+    def __mul__(self, y ):
+        """
+        Multiplying two counters gives the dot product of their vectors where
+        each unique label is a vector element.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['second'] = 5
+        >>> a['third'] = 1.5
+        >>> a['fourth'] = 2.5
+        >>> a * b
+        14
+        """
+        sum = 0
+        x = self
+        if len(x) > len(y):
+            x,y = y,x
+        for key in x:
+            if key not in y:
+                continue
+            sum += x[key] * y[key]
+        return sum
+
+    def __radd__(self, y):
+        """
+        Adding another counter to a counter increments the current counter
+        by the values stored in the second counter.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> a += b
+        >>> a['first']
+        1
+        """
+        for key, value in y.items():
+            self[key] += value
+
+    def __add__( self, y ):
+        """
+        Adding two counters gives a counter with the union of all keys and
+        counts of the second added to counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a + b)['first']
+        1
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] + y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = y[key]
+        return addend
+
+    def __sub__( self, y ):
+        """
+        Subtracting a counter from another gives a counter with the union of all keys and
+        counts of the second subtracted from counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a - b)['first']
+        -5
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] - y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = -1 * y[key]
+        return addend
+
+def raiseNotDefined():
+    fileName = inspect.stack()[1][1]
+    line = inspect.stack()[1][2]
+    method = inspect.stack()[1][3]
+
+    print "*** Method not implemented: %s at line %s of %s" % (method, line, fileName)
+    sys.exit(1)
+
+def normalize(vectorOrCounter):
+    """
+    normalize a vector or counter by dividing each value by the sum of all values
+    """
+    normalizedCounter = Counter()
+    if type(vectorOrCounter) == type(normalizedCounter):
+        counter = vectorOrCounter
+        total = float(counter.totalCount())
+        if total == 0: return counter
+        for key in counter.keys():
+            value = counter[key]
+            normalizedCounter[key] = value / total
+        return normalizedCounter
+    else:
+        vector = vectorOrCounter
+        s = float(sum(vector))
+        if s == 0: return vector
+        return [el / s for el in vector]
+
+def nSample(distribution, values, n):
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    rand = [random.random() for i in range(n)]
+    rand.sort()
+    samples = []
+    samplePos, distPos, cdf = 0,0, distribution[0]
+    while samplePos < n:
+        if rand[samplePos] < cdf:
+            samplePos += 1
+            samples.append(values[distPos])
+        else:
+            distPos += 1
+            cdf += distribution[distPos]
+    return samples
+
+def sample(distribution, values = None):
+    if type(distribution) == Counter:
+        items = sorted(distribution.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    choice = random.random()
+    i, total= 0, distribution[0]
+    while choice > total:
+        i += 1
+        total += distribution[i]
+    return values[i]
+
+def sampleFromCounter(ctr):
+    items = sorted(ctr.items())
+    return sample([v for k,v in items], [k for k,v in items])
+
+def getProbability(value, distribution, values):
+    """
+      Gives the probability of a value under a discrete distribution
+      defined by (distributions, values).
+    """
+    total = 0.0
+    for prob, val in zip(distribution, values):
+        if val == value:
+            total += prob
+    return total
+
+def flipCoin( p ):
+    r = random.random()
+    return r < p
+
+def chooseFromDistribution( distribution ):
+    "Takes either a counter or a list of (prob, key) pairs and samples"
+    if type(distribution) == dict or type(distribution) == Counter:
+        return sample(distribution)
+    r = random.random()
+    base = 0.0
+    for prob, element in distribution:
+        base += prob
+        if r <= base: return element
+
+def nearestPoint( pos ):
+    """
+    Finds the nearest grid point to a position (discretizes).
+    """
+    ( current_row, current_col ) = pos
+
+    grid_row = int( current_row + 0.5 )
+    grid_col = int( current_col + 0.5 )
+    return ( grid_row, grid_col )
+
+def sign( x ):
+    """
+    Returns 1 or -1 depending on the sign of x
+    """
+    if( x >= 0 ):
+        return 1
+    else:
+        return -1
+
+def arrayInvert(array):
+    """
+    Inverts a matrix stored as a list of lists.
+    """
+    result = [[] for i in array]
+    for outer in array:
+        for inner in range(len(outer)):
+            result[inner].append(outer[inner])
+    return result
+
+def matrixAsList( matrix, value = True ):
+    """
+    Turns a matrix into a list of coordinates matching the specified value
+    """
+    rows, cols = len( matrix ), len( matrix[0] )
+    cells = []
+    for row in range( rows ):
+        for col in range( cols ):
+            if matrix[row][col] == value:
+                cells.append( ( row, col ) )
+    return cells
+
+def lookup(name, namespace):
+    """
+    Get a method or class from any imported module from its name.
+    Usage: lookup(functionName, globals())
+    """
+    dots = name.count('.')
+    if dots > 0:
+        moduleName, objName = '.'.join(name.split('.')[:-1]), name.split('.')[-1]
+        module = __import__(moduleName)
+        return getattr(module, objName)
+    else:
+        modules = [obj for obj in namespace.values() if str(type(obj)) == ""]
+        options = [getattr(module, name) for module in modules if name in dir(module)]
+        options += [obj[1] for obj in namespace.items() if obj[0] == name ]
+        if len(options) == 1: return options[0]
+        if len(options) > 1: raise Exception, 'Name conflict for %s'
+        raise Exception, '%s not found as a method or class' % name
+
+def pause():
+    """
+    Pauses the output stream awaiting user feedback.
+    """
+    print ""
+    raw_input()
+
+
+# code to handle timeouts
+#
+# FIXME
+# NOTE: TimeoutFuncton is NOT reentrant.  Later timeouts will silently
+# disable earlier timeouts.  Could be solved by maintaining a global list
+# of active time outs.  Currently, questions which have test cases calling
+# this have all student code so wrapped.
+#
+import signal
+import time
+class TimeoutFunctionException(Exception):
+    """Exception to raise on a timeout"""
+    pass
+
+
+class TimeoutFunction:
+    def __init__(self, function, timeout):
+        self.timeout = timeout
+        self.function = function
+
+    def handle_timeout(self, signum, frame):
+        raise TimeoutFunctionException()
+
+    def __call__(self, *args, **keyArgs):
+        # If we have SIGALRM signal, use it to cause an exception if and
+        # when this function runs too long.  Otherwise check the time taken
+        # after the method has returned, and throw an exception then.
+        if hasattr(signal, 'SIGALRM'):
+            old = signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.alarm(self.timeout)
+            try:
+                result = self.function(*args, **keyArgs)
+            finally:
+                signal.signal(signal.SIGALRM, old)
+            signal.alarm(0)
+        else:
+            startTime = time.time()
+            result = self.function(*args, **keyArgs)
+            timeElapsed = time.time() - startTime
+            if timeElapsed >= self.timeout:
+                self.handle_timeout(None, None)
+        return result
+
+
+
+_ORIGINAL_STDOUT = None
+_ORIGINAL_STDERR = None
+_MUTED = False
+
+class WritableNull:
+    def write(self, string):
+        pass
+
+def mutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if _MUTED:
+        return
+    _MUTED = True
+
+    _ORIGINAL_STDOUT = sys.stdout
+    #_ORIGINAL_STDERR = sys.stderr
+    sys.stdout = WritableNull()
+    #sys.stderr = WritableNull()
+
+def unmutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if not _MUTED:
+        return
+    _MUTED = False
+
+    sys.stdout = _ORIGINAL_STDOUT
+    #sys.stderr = _ORIGINAL_STDERR
+
diff --git a/cs188-projects-master/P2 Multi-Agent Search/util.pyc b/cs188-projects-master/P2 Multi-Agent Search/util.pyc
new file mode 100644
index 0000000..e716bb8
Binary files /dev/null and b/cs188-projects-master/P2 Multi-Agent Search/util.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/VERSION b/cs188-projects-master/P3 Reinforcement Learning/VERSION
new file mode 100644
index 0000000..7c7fa2f
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/VERSION	
@@ -0,0 +1 @@
+v1.001
diff --git a/cs188-projects-master/P3 Reinforcement Learning/analysis.py b/cs188-projects-master/P3 Reinforcement Learning/analysis.py
new file mode 100644
index 0000000..6944a57
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/analysis.py	
@@ -0,0 +1,74 @@
+# analysis.py
+# -----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+######################
+# ANALYSIS QUESTIONS #
+######################
+
+# Set the given parameters to obtain the specified policies through
+# value iteration.
+
+def question2():
+    answerDiscount = 0.9
+    answerNoise = 0.002
+    return answerDiscount, answerNoise
+
+def question3a():
+    answerDiscount = 0.5
+    answerNoise = 0
+    answerLivingReward = -1
+    return answerDiscount, answerNoise, answerLivingReward
+    # If not possible, return 'NOT POSSIBLE'
+
+def question3b():
+    answerDiscount = 0.2
+    answerNoise = 0.2
+    answerLivingReward = -1
+    return answerDiscount, answerNoise, answerLivingReward
+    # If not possible, return 'NOT POSSIBLE'
+
+def question3c():
+    answerDiscount = 0.95
+    answerNoise = 0
+    answerLivingReward = -1
+    return answerDiscount, answerNoise, answerLivingReward
+    # If not possible, return 'NOT POSSIBLE'
+
+def question3d():
+    answerDiscount = 0.2
+    answerNoise = 0.5
+    answerLivingReward = 2
+    return answerDiscount, answerNoise, answerLivingReward
+    # If not possible, return 'NOT POSSIBLE'
+
+def question3e():
+    answerDiscount = 0.95
+    answerNoise = 0
+    answerLivingReward = 1000
+    return answerDiscount, answerNoise, answerLivingReward
+    # If not possible, return 'NOT POSSIBLE'
+
+def question8():
+    answerEpsilon = None
+    answerLearningRate = None
+    # return answerEpsilon, answerLearningRate
+    # If not possible, return 'NOT POSSIBLE'
+    return 'NOT POSSIBLE'
+
+if __name__ == '__main__':
+    print 'Answers to analysis questions:'
+    import analysis
+    for q in [q for q in dir(analysis) if q.startswith('question')]:
+        response = getattr(analysis, q)()
+        print '  Question %s:\t%s' % (q, str(response))
diff --git a/cs188-projects-master/P3 Reinforcement Learning/analysis.pyc b/cs188-projects-master/P3 Reinforcement Learning/analysis.pyc
new file mode 100644
index 0000000..b6c4e34
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/analysis.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/autograder.py b/cs188-projects-master/P3 Reinforcement Learning/autograder.py
new file mode 100644
index 0000000..4abe64d
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/autograder.py	
@@ -0,0 +1,358 @@
+# autograder.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# imports from python standard library
+import grading
+import imp
+import optparse
+import os
+import re
+import sys
+import projectParams
+import random
+random.seed(0)
+try: 
+    from pacman import GameState
+except:
+    pass
+
+# register arguments and set default values
+def readCommand(argv):
+    parser = optparse.OptionParser(description = 'Run public tests on student code')
+    parser.set_defaults(generateSolutions=False, edxOutput=False, gsOutput=False, muteOutput=False, printTestCase=False, noGraphics=False)
+    parser.add_option('--test-directory',
+                      dest = 'testRoot',
+                      default = 'test_cases',
+                      help = 'Root test directory which contains subdirectories corresponding to each question')
+    parser.add_option('--student-code',
+                      dest = 'studentCode',
+                      default = projectParams.STUDENT_CODE_DEFAULT,
+                      help = 'comma separated list of student code files')
+    parser.add_option('--code-directory',
+                    dest = 'codeRoot',
+                    default = "",
+                    help = 'Root directory containing the student and testClass code')
+    parser.add_option('--test-case-code',
+                      dest = 'testCaseCode',
+                      default = projectParams.PROJECT_TEST_CLASSES,
+                      help = 'class containing testClass classes for this project')
+    parser.add_option('--generate-solutions',
+                      dest = 'generateSolutions',
+                      action = 'store_true',
+                      help = 'Write solutions generated to .solution file')
+    parser.add_option('--edx-output',
+                    dest = 'edxOutput',
+                    action = 'store_true',
+                    help = 'Generate edX output files')
+    parser.add_option('--gradescope-output',
+                    dest = 'gsOutput',
+                    action = 'store_true',
+                    help = 'Generate GradeScope output files')
+    parser.add_option('--mute',
+                    dest = 'muteOutput',
+                    action = 'store_true',
+                    help = 'Mute output from executing tests')
+    parser.add_option('--print-tests', '-p',
+                    dest = 'printTestCase',
+                    action = 'store_true',
+                    help = 'Print each test case before running them.')
+    parser.add_option('--test', '-t',
+                      dest = 'runTest',
+                      default = None,
+                      help = 'Run one particular test.  Relative to test root.')
+    parser.add_option('--question', '-q',
+                    dest = 'gradeQuestion',
+                    default = None,
+                    help = 'Grade one particular question.')
+    parser.add_option('--no-graphics',
+                    dest = 'noGraphics',
+                    action = 'store_true',
+                    help = 'No graphics display for pacman games.')
+    (options, args) = parser.parse_args(argv)
+    return options
+
+
+# confirm we should author solution files
+def confirmGenerate():
+    print 'WARNING: this action will overwrite any solution files.'
+    print 'Are you sure you want to proceed? (yes/no)'
+    while True:
+        ans = sys.stdin.readline().strip()
+        if ans == 'yes':
+            break
+        elif ans == 'no':
+            sys.exit(0)
+        else:
+            print 'please answer either "yes" or "no"'
+
+
+# TODO: Fix this so that it tracebacks work correctly
+# Looking at source of the traceback module, presuming it works
+# the same as the intepreters, it uses co_filename.  This is,
+# however, a readonly attribute.
+def setModuleName(module, filename):
+    functionType = type(confirmGenerate)
+    classType = type(optparse.Option)
+
+    for i in dir(module):
+        o = getattr(module, i)
+        if hasattr(o, '__file__'): continue
+
+        if type(o) == functionType:
+            setattr(o, '__file__', filename)
+        elif type(o) == classType:
+            setattr(o, '__file__', filename)
+            # TODO: assign member __file__'s?
+        #print i, type(o)
+
+
+#from cStringIO import StringIO
+
+def loadModuleString(moduleSource):
+    # Below broken, imp doesn't believe its being passed a file:
+    #    ValueError: load_module arg#2 should be a file or None
+    #
+    #f = StringIO(moduleCodeDict[k])
+    #tmp = imp.load_module(k, f, k, (".py", "r", imp.PY_SOURCE))
+    tmp = imp.new_module(k)
+    exec moduleCodeDict[k] in tmp.__dict__
+    setModuleName(tmp, k)
+    return tmp
+
+import py_compile
+
+def loadModuleFile(moduleName, filePath):
+    with open(filePath, 'r') as f:
+        return imp.load_module(moduleName, f, "%s.py" % moduleName, (".py", "r", imp.PY_SOURCE))
+
+
+def readFile(path, root=""):
+    "Read file from disk at specified path and return as string"
+    with open(os.path.join(root, path), 'r') as handle:
+        return handle.read()
+
+
+#######################################################################
+# Error Hint Map
+#######################################################################
+
+# TODO: use these
+ERROR_HINT_MAP = {
+  'q1': {
+    "": """
+      We noticed that your project threw an IndexError on q1.
+      While many things may cause this, it may have been from
+      assuming a certain number of successors from a state space
+      or assuming a certain number of actions available from a given
+      state. Try making your code more general (no hardcoded indices)
+      and submit again!
+    """
+  },
+  'q3': {
+      "": """
+        We noticed that your project threw an AttributeError on q3.
+        While many things may cause this, it may have been from assuming
+        a certain size or structure to the state space. For example, if you have
+        a line of code assuming that the state is (x, y) and we run your code
+        on a state space with (x, y, z), this error could be thrown. Try
+        making your code more general and submit again!
+
+    """
+  }
+}
+
+import pprint
+
+def splitStrings(d):
+    d2 = dict(d)
+    for k in d:
+        if k[0:2] == "__":
+            del d2[k]
+            continue
+        if d2[k].find("\n") >= 0:
+            d2[k] = d2[k].split("\n")
+    return d2
+
+
+def printTest(testDict, solutionDict):
+    pp = pprint.PrettyPrinter(indent=4)
+    print "Test case:"
+    for line in testDict["__raw_lines__"]:
+        print "   |", line
+    print "Solution:"
+    for line in solutionDict["__raw_lines__"]:
+        print "   |", line
+
+
+def runTest(testName, moduleDict, printTestCase=False, display=None):
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    testDict = testParser.TestParser(testName + ".test").parse()
+    solutionDict = testParser.TestParser(testName + ".solution").parse()
+    test_out_file = os.path.join('%s.test_output' % testName)
+    testDict['test_out_file'] = test_out_file
+    testClass = getattr(projectTestClasses, testDict['class'])
+
+    questionClass = getattr(testClasses, 'Question')
+    question = questionClass({'max_points': 0}, display)
+    testCase = testClass(question, testDict)
+
+    if printTestCase:
+        printTest(testDict, solutionDict)
+
+    # This is a fragile hack to create a stub grades object
+    grades = grading.Grades(projectParams.PROJECT_NAME, [(None,0)])
+    testCase.execute(grades, moduleDict, solutionDict)
+
+
+# returns all the tests you need to run in order to run question
+def getDepends(testParser, testRoot, question):
+    allDeps = [question]
+    questionDict = testParser.TestParser(os.path.join(testRoot, question, 'CONFIG')).parse()
+    if 'depends' in questionDict:
+        depends = questionDict['depends'].split()
+        for d in depends:
+            # run dependencies first
+            allDeps = getDepends(testParser, testRoot, d) + allDeps
+    return allDeps
+
+# get list of questions to grade
+def getTestSubdirs(testParser, testRoot, questionToGrade):
+    problemDict = testParser.TestParser(os.path.join(testRoot, 'CONFIG')).parse()
+    if questionToGrade != None:
+        questions = getDepends(testParser, testRoot, questionToGrade)
+        if len(questions) > 1:
+            print 'Note: due to dependencies, the following tests will be run: %s' % ' '.join(questions)
+        return questions
+    if 'order' in problemDict:
+        return problemDict['order'].split()
+    return sorted(os.listdir(testRoot))
+
+
+# evaluate student code
+def evaluate(generateSolutions, testRoot, moduleDict, exceptionMap=ERROR_HINT_MAP,
+             edxOutput=False, muteOutput=False, gsOutput=False,
+            printTestCase=False, questionToGrade=None, display=None):
+    # imports of testbench code.  note that the testClasses import must follow
+    # the import of student code due to dependencies
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    questions = []
+    questionDicts = {}
+    test_subdirs = getTestSubdirs(testParser, testRoot, questionToGrade)
+    for q in test_subdirs:
+        subdir_path = os.path.join(testRoot, q)
+        if not os.path.isdir(subdir_path) or q[0] == '.':
+            continue
+
+        # create a question object
+        questionDict = testParser.TestParser(os.path.join(subdir_path, 'CONFIG')).parse()
+        questionClass = getattr(testClasses, questionDict['class'])
+        question = questionClass(questionDict, display)
+        questionDicts[q] = questionDict
+
+        # load test cases into question
+        tests = filter(lambda t: re.match('[^#~.].*\.test\Z', t), os.listdir(subdir_path))
+        tests = map(lambda t: re.match('(.*)\.test\Z', t).group(1), tests)
+        for t in sorted(tests):
+            test_file = os.path.join(subdir_path, '%s.test' % t)
+            solution_file = os.path.join(subdir_path, '%s.solution' % t)
+            test_out_file = os.path.join(subdir_path, '%s.test_output' % t)
+            testDict = testParser.TestParser(test_file).parse()
+            if testDict.get("disabled", "false").lower() == "true":
+                continue
+            testDict['test_out_file'] = test_out_file
+            testClass = getattr(projectTestClasses, testDict['class'])
+            testCase = testClass(question, testDict)
+            def makefun(testCase, solution_file):
+                if generateSolutions:
+                    # write solution file to disk
+                    return lambda grades: testCase.writeSolution(moduleDict, solution_file)
+                else:
+                    # read in solution dictionary and pass as an argument
+                    testDict = testParser.TestParser(test_file).parse()
+                    solutionDict = testParser.TestParser(solution_file).parse()
+                    if printTestCase:
+                        return lambda grades: printTest(testDict, solutionDict) or testCase.execute(grades, moduleDict, solutionDict)
+                    else:
+                        return lambda grades: testCase.execute(grades, moduleDict, solutionDict)
+            question.addTestCase(testCase, makefun(testCase, solution_file))
+
+        # Note extra function is necessary for scoping reasons
+        def makefun(question):
+            return lambda grades: question.execute(grades)
+        setattr(sys.modules[__name__], q, makefun(question))
+        questions.append((q, question.getMaxPoints()))
+
+    grades = grading.Grades(projectParams.PROJECT_NAME, questions,
+                            gsOutput=gsOutput, edxOutput=edxOutput, muteOutput=muteOutput)
+    if questionToGrade == None:
+        for q in questionDicts:
+            for prereq in questionDicts[q].get('depends', '').split():
+                grades.addPrereq(q, prereq)
+
+    grades.grade(sys.modules[__name__], bonusPic = projectParams.BONUS_PIC)
+    return grades.points
+
+
+
+def getDisplay(graphicsByDefault, options=None):
+    graphics = graphicsByDefault
+    if options is not None and options.noGraphics:
+        graphics = False
+    if graphics:
+        try:
+            import graphicsDisplay
+            return graphicsDisplay.PacmanGraphics(1, frameTime=.05)
+        except ImportError:
+            pass
+    import textDisplay
+    return textDisplay.NullGraphics()
+
+
+
+
+if __name__ == '__main__':
+    options = readCommand(sys.argv)
+    if options.generateSolutions:
+        confirmGenerate()
+    codePaths = options.studentCode.split(',')
+    # moduleCodeDict = {}
+    # for cp in codePaths:
+    #     moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+    #     moduleCodeDict[moduleName] = readFile(cp, root=options.codeRoot)
+    # moduleCodeDict['projectTestClasses'] = readFile(options.testCaseCode, root=options.codeRoot)
+    # moduleDict = loadModuleDict(moduleCodeDict)
+
+    moduleDict = {}
+    for cp in codePaths:
+        moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+        moduleDict[moduleName] = loadModuleFile(moduleName, os.path.join(options.codeRoot, cp))
+    moduleName = re.match('.*?([^/]*)\.py', options.testCaseCode).group(1)
+    moduleDict['projectTestClasses'] = loadModuleFile(moduleName, os.path.join(options.codeRoot, options.testCaseCode))
+
+
+    if options.runTest != None:
+        runTest(options.runTest, moduleDict, printTestCase=options.printTestCase, display=getDisplay(True, options))
+    else:
+        evaluate(options.generateSolutions, options.testRoot, moduleDict,
+            gsOutput=options.gsOutput,
+            edxOutput=options.edxOutput, muteOutput=options.muteOutput, printTestCase=options.printTestCase,
+            questionToGrade=options.gradeQuestion, display=getDisplay(options.gradeQuestion!=None, options))
diff --git a/cs188-projects-master/P3 Reinforcement Learning/crawler.py b/cs188-projects-master/P3 Reinforcement Learning/crawler.py
new file mode 100644
index 0000000..d42255c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/crawler.py	
@@ -0,0 +1,384 @@
+# crawler.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+#!/usr/bin/python
+import math
+from math import pi as PI
+import time
+import environment
+import random
+
+class CrawlingRobotEnvironment(environment.Environment):
+
+    def __init__(self, crawlingRobot):
+
+        self.crawlingRobot = crawlingRobot
+
+        # The state is of the form (armAngle, handAngle)
+        # where the angles are bucket numbers, not actual
+        # degree measurements
+        self.state = None
+
+        self.nArmStates = 9
+        self.nHandStates = 13
+
+        # create a list of arm buckets and hand buckets to
+        # discretize the state space
+        minArmAngle,maxArmAngle = self.crawlingRobot.getMinAndMaxArmAngles()
+        minHandAngle,maxHandAngle = self.crawlingRobot.getMinAndMaxHandAngles()
+        armIncrement = (maxArmAngle - minArmAngle) / (self.nArmStates-1)
+        handIncrement = (maxHandAngle - minHandAngle) / (self.nHandStates-1)
+        self.armBuckets = [minArmAngle+(armIncrement*i) \
+           for i in range(self.nArmStates)]
+        self.handBuckets = [minHandAngle+(handIncrement*i) \
+         for i in range(self.nHandStates)]
+
+        # Reset
+        self.reset()
+
+    def getCurrentState(self):
+        """
+          Return the current state
+          of the crawling robot
+        """
+        return self.state
+
+    def getPossibleActions(self, state):
+        """
+          Returns possible actions
+          for the states in the
+          current state
+        """
+
+        actions = list()
+
+        currArmBucket,currHandBucket = state
+        if currArmBucket > 0: actions.append('arm-down')
+        if currArmBucket < self.nArmStates-1: actions.append('arm-up')
+        if currHandBucket > 0: actions.append('hand-down')
+        if currHandBucket < self.nHandStates-1: actions.append('hand-up')
+
+        return actions
+
+    def doAction(self, action):
+        """
+          Perform the action and update
+          the current state of the Environment
+          and return the reward for the
+          current state, the next state
+          and the taken action.
+
+          Returns:
+            nextState, reward
+        """
+        nextState, reward =  None, None
+
+        oldX,oldY = self.crawlingRobot.getRobotPosition()
+
+        armBucket,handBucket = self.state
+        armAngle,handAngle = self.crawlingRobot.getAngles()
+        if action == 'arm-up':
+            newArmAngle = self.armBuckets[armBucket+1]
+            self.crawlingRobot.moveArm(newArmAngle)
+            nextState = (armBucket+1,handBucket)
+        if action == 'arm-down':
+            newArmAngle = self.armBuckets[armBucket-1]
+            self.crawlingRobot.moveArm(newArmAngle)
+            nextState = (armBucket-1,handBucket)
+        if action == 'hand-up':
+            newHandAngle = self.handBuckets[handBucket+1]
+            self.crawlingRobot.moveHand(newHandAngle)
+            nextState = (armBucket,handBucket+1)
+        if action == 'hand-down':
+            newHandAngle = self.handBuckets[handBucket-1]
+            self.crawlingRobot.moveHand(newHandAngle)
+            nextState = (armBucket,handBucket-1)
+
+        newX,newY = self.crawlingRobot.getRobotPosition()
+
+        # a simple reward function
+        reward = newX - oldX
+
+        self.state = nextState
+        return nextState, reward
+
+
+    def reset(self):
+        """
+         Resets the Environment to the initial state
+        """
+        ## Initialize the state to be the middle
+        ## value for each parameter e.g. if there are 13 and 19
+        ## buckets for the arm and hand parameters, then the intial
+        ## state should be (6,9)
+        ##
+        ## Also call self.crawlingRobot.setAngles()
+        ## to the initial arm and hand angle
+
+        armState = self.nArmStates/2
+        handState = self.nHandStates/2
+        self.state = armState,handState
+        self.crawlingRobot.setAngles(self.armBuckets[armState],self.handBuckets[handState])
+        self.crawlingRobot.positions = [20,self.crawlingRobot.getRobotPosition()[0]]
+
+
+class CrawlingRobot:
+
+    def setAngles(self, armAngle, handAngle):
+        """
+            set the robot's arm and hand angles
+            to the passed in values
+        """
+        self.armAngle = armAngle
+        self.handAngle = handAngle
+
+    def getAngles(self):
+        """
+            returns the pair of (armAngle, handAngle)
+        """
+        return self.armAngle, self.handAngle
+
+    def getRobotPosition(self):
+        """
+            returns the (x,y) coordinates
+            of the lower-left point of the
+            robot
+        """
+        return self.robotPos
+
+    def moveArm(self, newArmAngle):
+        """
+            move the robot arm to 'newArmAngle'
+        """
+        oldArmAngle = self.armAngle
+        if newArmAngle > self.maxArmAngle:
+            raise 'Crawling Robot: Arm Raised too high. Careful!'
+        if newArmAngle < self.minArmAngle:
+            raise 'Crawling Robot: Arm Raised too low. Careful!'
+        disp = self.displacement(self.armAngle, self.handAngle,
+                                  newArmAngle, self.handAngle)
+        curXPos = self.robotPos[0]
+        self.robotPos = (curXPos+disp, self.robotPos[1])
+        self.armAngle = newArmAngle
+
+        # Position and Velocity Sign Post
+        self.positions.append(self.getRobotPosition()[0])
+#        self.angleSums.append(abs(math.degrees(oldArmAngle)-math.degrees(newArmAngle)))
+        if len(self.positions) > 100:
+            self.positions.pop(0)
+ #           self.angleSums.pop(0)
+
+    def moveHand(self, newHandAngle):
+        """
+            move the robot hand to 'newArmAngle'
+        """
+        oldHandAngle = self.handAngle
+
+        if newHandAngle > self.maxHandAngle:
+            raise 'Crawling Robot: Hand Raised too high. Careful!'
+        if newHandAngle < self.minHandAngle:
+            raise 'Crawling Robot: Hand Raised too low. Careful!'
+        disp = self.displacement(self.armAngle, self.handAngle, self.armAngle, newHandAngle)
+        curXPos = self.robotPos[0]
+        self.robotPos = (curXPos+disp, self.robotPos[1])
+        self.handAngle = newHandAngle
+
+        # Position and Velocity Sign Post
+        self.positions.append(self.getRobotPosition()[0])
+ #       self.angleSums.append(abs(math.degrees(oldHandAngle)-math.degrees(newHandAngle)))
+        if len(self.positions) > 100:
+            self.positions.pop(0)
+ #           self.angleSums.pop(0)
+
+    def getMinAndMaxArmAngles(self):
+        """
+            get the lower- and upper- bound
+            for the arm angles returns (min,max) pair
+        """
+        return self.minArmAngle, self.maxArmAngle
+
+    def getMinAndMaxHandAngles(self):
+        """
+            get the lower- and upper- bound
+            for the hand angles returns (min,max) pair
+        """
+        return self.minHandAngle, self.maxHandAngle
+
+    def getRotationAngle(self):
+        """
+            get the current angle the
+            robot body is rotated off the ground
+        """
+        armCos, armSin = self.__getCosAndSin(self.armAngle)
+        handCos, handSin = self.__getCosAndSin(self.handAngle)
+        x = self.armLength * armCos + self.handLength * handCos + self.robotWidth
+        y = self.armLength * armSin + self.handLength * handSin + self.robotHeight
+        if y < 0:
+            return math.atan(-y/x)
+        return 0.0
+
+
+    ## You shouldn't need methods below here
+
+
+    def __getCosAndSin(self, angle):
+        return math.cos(angle), math.sin(angle)
+
+    def displacement(self, oldArmDegree, oldHandDegree, armDegree, handDegree):
+
+        oldArmCos, oldArmSin = self.__getCosAndSin(oldArmDegree)
+        armCos, armSin = self.__getCosAndSin(armDegree)
+        oldHandCos, oldHandSin = self.__getCosAndSin(oldHandDegree)
+        handCos, handSin = self.__getCosAndSin(handDegree)
+
+        xOld = self.armLength * oldArmCos + self.handLength * oldHandCos + self.robotWidth
+        yOld = self.armLength * oldArmSin + self.handLength * oldHandSin + self.robotHeight
+
+        x = self.armLength * armCos + self.handLength * handCos + self.robotWidth
+        y = self.armLength * armSin + self.handLength * handSin + self.robotHeight
+
+        if y < 0:
+            if yOld <= 0:
+                return math.sqrt(xOld*xOld + yOld*yOld) - math.sqrt(x*x + y*y)
+            return (xOld - yOld*(x-xOld) / (y - yOld)) - math.sqrt(x*x + y*y)
+        else:
+            if yOld  >= 0:
+                return 0.0
+            return -(x - y * (xOld-x)/(yOld-y)) + math.sqrt(xOld*xOld + yOld*yOld)
+
+        raise 'Never Should See This!'
+
+    def draw(self, stepCount, stepDelay):
+        x1, y1 = self.getRobotPosition()
+        x1 = x1 % self.totWidth
+
+        ## Check Lower Still on the ground
+        if y1 != self.groundY:
+            raise 'Flying Robot!!'
+
+        rotationAngle = self.getRotationAngle()
+        cosRot, sinRot = self.__getCosAndSin(rotationAngle)
+
+        x2 = x1 + self.robotWidth * cosRot
+        y2 = y1 - self.robotWidth * sinRot
+
+        x3 = x1 - self.robotHeight * sinRot
+        y3 = y1 - self.robotHeight * cosRot
+
+        x4 = x3 + cosRot*self.robotWidth
+        y4 = y3 - sinRot*self.robotWidth
+
+        self.canvas.coords(self.robotBody,x1,y1,x2,y2,x4,y4,x3,y3)
+
+        armCos, armSin = self.__getCosAndSin(rotationAngle+self.armAngle)
+        xArm = x4 + self.armLength * armCos
+        yArm = y4 - self.armLength * armSin
+
+        self.canvas.coords(self.robotArm,x4,y4,xArm,yArm)
+
+        handCos, handSin = self.__getCosAndSin(self.handAngle+rotationAngle)
+        xHand = xArm + self.handLength * handCos
+        yHand = yArm - self.handLength * handSin
+
+        self.canvas.coords(self.robotHand,xArm,yArm,xHand,yHand)
+
+
+        # Position and Velocity Sign Post
+#        time = len(self.positions) + 0.5 * sum(self.angleSums)
+#        velocity = (self.positions[-1]-self.positions[0]) / time
+#        if len(self.positions) == 1: return
+        steps = (stepCount - self.lastStep)
+        if steps==0:return
+ #       pos = self.positions[-1]
+#        velocity = (pos - self.lastPos) / steps
+  #      g = .9 ** (10 * stepDelay)
+#        g = .99 ** steps
+#        self.velAvg = g * self.velAvg + (1 - g) * velocity
+ #       g = .999 ** steps
+ #       self.velAvg2 = g * self.velAvg2 + (1 - g) * velocity
+        pos = self.positions[-1]
+        velocity = pos - self.positions[-2]
+        vel2 = (pos - self.positions[0]) / len(self.positions)
+        self.velAvg = .9 * self.velAvg + .1 * vel2
+        velMsg = '100-step Avg Velocity: %.2f' % self.velAvg
+#        velMsg2 = '1000-step Avg Velocity: %.2f' % self.velAvg2
+        velocityMsg = 'Velocity: %.2f' % velocity
+        positionMsg = 'Position: %2.f' % pos
+        stepMsg = 'Step: %d' % stepCount
+        if 'vel_msg' in dir(self):
+            self.canvas.delete(self.vel_msg)
+            self.canvas.delete(self.pos_msg)
+            self.canvas.delete(self.step_msg)
+            self.canvas.delete(self.velavg_msg)
+ #           self.canvas.delete(self.velavg2_msg)
+ #       self.velavg2_msg = self.canvas.create_text(850,190,text=velMsg2)
+        self.velavg_msg = self.canvas.create_text(650,190,text=velMsg)
+        self.vel_msg = self.canvas.create_text(450,190,text=velocityMsg)
+        self.pos_msg = self.canvas.create_text(250,190,text=positionMsg)
+        self.step_msg = self.canvas.create_text(50,190,text=stepMsg)
+#        self.lastPos = pos
+        self.lastStep = stepCount
+#        self.lastVel = velocity
+
+    def __init__(self, canvas):
+
+        ## Canvas ##
+        self.canvas = canvas
+        self.velAvg = 0
+#        self.velAvg2 = 0
+#        self.lastPos = 0
+        self.lastStep = 0
+#        self.lastVel = 0
+
+        ## Arm and Hand Degrees ##
+        self.armAngle = self.oldArmDegree = 0.0
+        self.handAngle = self.oldHandDegree = -PI/6
+
+        self.maxArmAngle = PI/6
+        self.minArmAngle = -PI/6
+
+        self.maxHandAngle = 0
+        self.minHandAngle = -(5.0/6.0) * PI
+
+        ## Draw Ground ##
+        self.totWidth = canvas.winfo_reqwidth()
+        self.totHeight = canvas.winfo_reqheight()
+        self.groundHeight = 40
+        self.groundY = self.totHeight - self.groundHeight
+
+        self.ground = canvas.create_rectangle(0,
+            self.groundY,self.totWidth,self.totHeight, fill='blue')
+
+        ## Robot Body ##
+        self.robotWidth = 80
+        self.robotHeight = 40
+        self.robotPos = (20, self.groundY)
+        self.robotBody = canvas.create_polygon(0,0,0,0,0,0,0,0, fill='green')
+
+        ## Robot Arm ##
+        self.armLength = 60
+        self.robotArm = canvas.create_line(0,0,0,0,fill='orange',width=5)
+
+        ## Robot Hand ##
+        self.handLength = 40
+        self.robotHand = canvas.create_line(0,0,0,0,fill='red',width=3)
+
+        self.positions = [0,0]
+  #      self.angleSums = [0,0]
+
+
+
+if __name__ == '__main__':
+    from graphicsCrawlerDisplay import *
+    run()
diff --git a/cs188-projects-master/P3 Reinforcement Learning/environment.py b/cs188-projects-master/P3 Reinforcement Learning/environment.py
new file mode 100644
index 0000000..94f9cbf
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/environment.py	
@@ -0,0 +1,56 @@
+# environment.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+#!/usr/bin/python
+
+class Environment:
+
+    def getCurrentState(self):
+        """
+        Returns the current state of enviornment
+        """
+        abstract
+
+    def getPossibleActions(self, state):
+        """
+          Returns possible actions the agent
+          can take in the given state. Can
+          return the empty list if we are in
+          a terminal state.
+        """
+        abstract
+
+    def doAction(self, action):
+        """
+          Performs the given action in the current
+          environment state and updates the enviornment.
+
+          Returns a (reward, nextState) pair
+        """
+        abstract
+
+    def reset(self):
+        """
+          Resets the current state to the start state
+        """
+        abstract
+
+    def isTerminal(self):
+        """
+          Has the enviornment entered a terminal
+          state? This means there are no successors
+        """
+        state = self.getCurrentState()
+        actions = self.getPossibleActions(state)
+        return len(actions) == 0
diff --git a/cs188-projects-master/P3 Reinforcement Learning/environment.pyc b/cs188-projects-master/P3 Reinforcement Learning/environment.pyc
new file mode 100644
index 0000000..fa25719
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/environment.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/featureExtractors.py b/cs188-projects-master/P3 Reinforcement Learning/featureExtractors.py
new file mode 100644
index 0000000..a327d58
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/featureExtractors.py	
@@ -0,0 +1,103 @@
+# featureExtractors.py
+# --------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"Feature extractors for Pacman game states"
+
+from game import Directions, Actions
+import util
+
+class FeatureExtractor:
+    def getFeatures(self, state, action):
+        """
+          Returns a dict from features to counts
+          Usually, the count will just be 1.0 for
+          indicator functions.
+        """
+        util.raiseNotDefined()
+
+class IdentityExtractor(FeatureExtractor):
+    def getFeatures(self, state, action):
+        feats = util.Counter()
+        feats[(state,action)] = 1.0
+        return feats
+
+class CoordinateExtractor(FeatureExtractor):
+    def getFeatures(self, state, action):
+        feats = util.Counter()
+        feats[state] = 1.0
+        feats['x=%d' % state[0]] = 1.0
+        feats['y=%d' % state[0]] = 1.0
+        feats['action=%s' % action] = 1.0
+        return feats
+
+def closestFood(pos, food, walls):
+    """
+    closestFood -- this is similar to the function that we have
+    worked on in the search project; here its all in one place
+    """
+    fringe = [(pos[0], pos[1], 0)]
+    expanded = set()
+    while fringe:
+        pos_x, pos_y, dist = fringe.pop(0)
+        if (pos_x, pos_y) in expanded:
+            continue
+        expanded.add((pos_x, pos_y))
+        # if we find a food at this location then exit
+        if food[pos_x][pos_y]:
+            return dist
+        # otherwise spread out from the location to its neighbours
+        nbrs = Actions.getLegalNeighbors((pos_x, pos_y), walls)
+        for nbr_x, nbr_y in nbrs:
+            fringe.append((nbr_x, nbr_y, dist+1))
+    # no food found
+    return None
+
+class SimpleExtractor(FeatureExtractor):
+    """
+    Returns simple features for a basic reflex Pacman:
+    - whether food will be eaten
+    - how far away the next food is
+    - whether a ghost collision is imminent
+    - whether a ghost is one step away
+    """
+
+    def getFeatures(self, state, action):
+        # extract the grid of food and wall locations and get the ghost locations
+        food = state.getFood()
+        walls = state.getWalls()
+        ghosts = state.getGhostPositions()
+
+        features = util.Counter()
+
+        features["bias"] = 1.0
+
+        # compute the location of pacman after he takes the action
+        x, y = state.getPacmanPosition()
+        dx, dy = Actions.directionToVector(action)
+        next_x, next_y = int(x + dx), int(y + dy)
+
+        # count the number of ghosts 1-step away
+        features["#-of-ghosts-1-step-away"] = sum((next_x, next_y) in Actions.getLegalNeighbors(g, walls) for g in ghosts)
+
+        # if there is no danger of ghosts then add the food feature
+        if not features["#-of-ghosts-1-step-away"] and food[next_x][next_y]:
+            features["eats-food"] = 1.0
+
+        dist = closestFood((next_x, next_y), food, walls)
+        if dist is not None:
+            # make the distance a number less than one otherwise the update
+            # will diverge wildly
+            features["closest-food"] = float(dist) / (walls.width * walls.height)
+        features.divideAll(10.0)
+        return features
diff --git a/cs188-projects-master/P3 Reinforcement Learning/featureExtractors.pyc b/cs188-projects-master/P3 Reinforcement Learning/featureExtractors.pyc
new file mode 100644
index 0000000..e6af1a1
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/featureExtractors.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/game.py b/cs188-projects-master/P3 Reinforcement Learning/game.py
new file mode 100644
index 0000000..e34d6cf
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/game.py	
@@ -0,0 +1,729 @@
+# game.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# game.py
+# -------
+# Licensing Information: Please do not distribute or publish solutions to this
+# project. You are free to use and extend these projects for educational
+# purposes. The Pacman AI projects were developed at UC Berkeley, primarily by
+# John DeNero (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# For more info, see http://inst.eecs.berkeley.edu/~cs188/sp09/pacman.html
+
+from util import *
+import time, os
+import traceback
+import sys
+
+#######################
+# Parts worth reading #
+#######################
+
+class Agent:
+    """
+    An agent must define a getAction method, but may also define the
+    following methods which will be called if they exist:
+
+    def registerInitialState(self, state): # inspects the starting state
+    """
+    def __init__(self, index=0):
+        self.index = index
+
+    def getAction(self, state):
+        """
+        The Agent will receive a GameState (from either {pacman, capture, sonar}.py) and
+        must return an action from Directions.{North, South, East, West, Stop}
+        """
+        raiseNotDefined()
+
+class Directions:
+    NORTH = 'North'
+    SOUTH = 'South'
+    EAST = 'East'
+    WEST = 'West'
+    STOP = 'Stop'
+
+    LEFT =       {NORTH: WEST,
+                   SOUTH: EAST,
+                   EAST:  NORTH,
+                   WEST:  SOUTH,
+                   STOP:  STOP}
+
+    RIGHT =      dict([(y,x) for x, y in LEFT.items()])
+
+    REVERSE = {NORTH: SOUTH,
+               SOUTH: NORTH,
+               EAST: WEST,
+               WEST: EAST,
+               STOP: STOP}
+
+class Configuration:
+    """
+    A Configuration holds the (x,y) coordinate of a character, along with its
+    traveling direction.
+
+    The convention for positions, like a graph, is that (0,0) is the lower left corner, x increases
+    horizontally and y increases vertically.  Therefore, north is the direction of increasing y, or (0,1).
+    """
+
+    def __init__(self, pos, direction):
+        self.pos = pos
+        self.direction = direction
+
+    def getPosition(self):
+        return (self.pos)
+
+    def getDirection(self):
+        return self.direction
+
+    def isInteger(self):
+        x,y = self.pos
+        return x == int(x) and y == int(y)
+
+    def __eq__(self, other):
+        if other == None: return False
+        return (self.pos == other.pos and self.direction == other.direction)
+
+    def __hash__(self):
+        x = hash(self.pos)
+        y = hash(self.direction)
+        return hash(x + 13 * y)
+
+    def __str__(self):
+        return "(x,y)="+str(self.pos)+", "+str(self.direction)
+
+    def generateSuccessor(self, vector):
+        """
+        Generates a new configuration reached by translating the current
+        configuration by the action vector.  This is a low-level call and does
+        not attempt to respect the legality of the movement.
+
+        Actions are movement vectors.
+        """
+        x, y= self.pos
+        dx, dy = vector
+        direction = Actions.vectorToDirection(vector)
+        if direction == Directions.STOP:
+            direction = self.direction # There is no stop direction
+        return Configuration((x + dx, y+dy), direction)
+
+class AgentState:
+    """
+    AgentStates hold the state of an agent (configuration, speed, scared, etc).
+    """
+
+    def __init__( self, startConfiguration, isPacman ):
+        self.start = startConfiguration
+        self.configuration = startConfiguration
+        self.isPacman = isPacman
+        self.scaredTimer = 0
+        self.numCarrying = 0
+        self.numReturned = 0
+
+    def __str__( self ):
+        if self.isPacman:
+            return "Pacman: " + str( self.configuration )
+        else:
+            return "Ghost: " + str( self.configuration )
+
+    def __eq__( self, other ):
+        if other == None:
+            return False
+        return self.configuration == other.configuration and self.scaredTimer == other.scaredTimer
+
+    def __hash__(self):
+        return hash(hash(self.configuration) + 13 * hash(self.scaredTimer))
+
+    def copy( self ):
+        state = AgentState( self.start, self.isPacman )
+        state.configuration = self.configuration
+        state.scaredTimer = self.scaredTimer
+        state.numCarrying = self.numCarrying
+        state.numReturned = self.numReturned
+        return state
+
+    def getPosition(self):
+        if self.configuration == None: return None
+        return self.configuration.getPosition()
+
+    def getDirection(self):
+        return self.configuration.getDirection()
+
+class Grid:
+    """
+    A 2-dimensional array of objects backed by a list of lists.  Data is accessed
+    via grid[x][y] where (x,y) are positions on a Pacman map with x horizontal,
+    y vertical and the origin (0,0) in the bottom left corner.
+
+    The __str__ method constructs an output that is oriented like a pacman board.
+    """
+    def __init__(self, width, height, initialValue=False, bitRepresentation=None):
+        if initialValue not in [False, True]: raise Exception('Grids can only contain booleans')
+        self.CELLS_PER_INT = 30
+
+        self.width = width
+        self.height = height
+        self.data = [[initialValue for y in range(height)] for x in range(width)]
+        if bitRepresentation:
+            self._unpackBits(bitRepresentation)
+
+    def __getitem__(self, i):
+        return self.data[i]
+
+    def __setitem__(self, key, item):
+        self.data[key] = item
+
+    def __str__(self):
+        out = [[str(self.data[x][y])[0] for x in range(self.width)] for y in range(self.height)]
+        out.reverse()
+        return '\n'.join([''.join(x) for x in out])
+
+    def __eq__(self, other):
+        if other == None: return False
+        return self.data == other.data
+
+    def __hash__(self):
+        # return hash(str(self))
+        base = 1
+        h = 0
+        for l in self.data:
+            for i in l:
+                if i:
+                    h += base
+                base *= 2
+        return hash(h)
+
+    def copy(self):
+        g = Grid(self.width, self.height)
+        g.data = [x[:] for x in self.data]
+        return g
+
+    def deepCopy(self):
+        return self.copy()
+
+    def shallowCopy(self):
+        g = Grid(self.width, self.height)
+        g.data = self.data
+        return g
+
+    def count(self, item =True ):
+        return sum([x.count(item) for x in self.data])
+
+    def asList(self, key = True):
+        list = []
+        for x in range(self.width):
+            for y in range(self.height):
+                if self[x][y] == key: list.append( (x,y) )
+        return list
+
+    def packBits(self):
+        """
+        Returns an efficient int list representation
+
+        (width, height, bitPackedInts...)
+        """
+        bits = [self.width, self.height]
+        currentInt = 0
+        for i in range(self.height * self.width):
+            bit = self.CELLS_PER_INT - (i % self.CELLS_PER_INT) - 1
+            x, y = self._cellIndexToPosition(i)
+            if self[x][y]:
+                currentInt += 2 ** bit
+            if (i + 1) % self.CELLS_PER_INT == 0:
+                bits.append(currentInt)
+                currentInt = 0
+        bits.append(currentInt)
+        return tuple(bits)
+
+    def _cellIndexToPosition(self, index):
+        x = index / self.height
+        y = index % self.height
+        return x, y
+
+    def _unpackBits(self, bits):
+        """
+        Fills in data from a bit-level representation
+        """
+        cell = 0
+        for packed in bits:
+            for bit in self._unpackInt(packed, self.CELLS_PER_INT):
+                if cell == self.width * self.height: break
+                x, y = self._cellIndexToPosition(cell)
+                self[x][y] = bit
+                cell += 1
+
+    def _unpackInt(self, packed, size):
+        bools = []
+        if packed < 0: raise ValueError, "must be a positive integer"
+        for i in range(size):
+            n = 2 ** (self.CELLS_PER_INT - i - 1)
+            if packed >= n:
+                bools.append(True)
+                packed -= n
+            else:
+                bools.append(False)
+        return bools
+
+def reconstituteGrid(bitRep):
+    if type(bitRep) is not type((1,2)):
+        return bitRep
+    width, height = bitRep[:2]
+    return Grid(width, height, bitRepresentation= bitRep[2:])
+
+####################################
+# Parts you shouldn't have to read #
+####################################
+
+class Actions:
+    """
+    A collection of static methods for manipulating move actions.
+    """
+    # Directions
+    _directions = {Directions.NORTH: (0, 1),
+                   Directions.SOUTH: (0, -1),
+                   Directions.EAST:  (1, 0),
+                   Directions.WEST:  (-1, 0),
+                   Directions.STOP:  (0, 0)}
+
+    _directionsAsList = _directions.items()
+
+    TOLERANCE = .001
+
+    def reverseDirection(action):
+        if action == Directions.NORTH:
+            return Directions.SOUTH
+        if action == Directions.SOUTH:
+            return Directions.NORTH
+        if action == Directions.EAST:
+            return Directions.WEST
+        if action == Directions.WEST:
+            return Directions.EAST
+        return action
+    reverseDirection = staticmethod(reverseDirection)
+
+    def vectorToDirection(vector):
+        dx, dy = vector
+        if dy > 0:
+            return Directions.NORTH
+        if dy < 0:
+            return Directions.SOUTH
+        if dx < 0:
+            return Directions.WEST
+        if dx > 0:
+            return Directions.EAST
+        return Directions.STOP
+    vectorToDirection = staticmethod(vectorToDirection)
+
+    def directionToVector(direction, speed = 1.0):
+        dx, dy =  Actions._directions[direction]
+        return (dx * speed, dy * speed)
+    directionToVector = staticmethod(directionToVector)
+
+    def getPossibleActions(config, walls):
+        possible = []
+        x, y = config.pos
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+
+        # In between grid points, all agents must continue straight
+        if (abs(x - x_int) + abs(y - y_int)  > Actions.TOLERANCE):
+            return [config.getDirection()]
+
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_y = y_int + dy
+            next_x = x_int + dx
+            if not walls[next_x][next_y]: possible.append(dir)
+
+        return possible
+
+    getPossibleActions = staticmethod(getPossibleActions)
+
+    def getLegalNeighbors(position, walls):
+        x,y = position
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+        neighbors = []
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_x = x_int + dx
+            if next_x < 0 or next_x == walls.width: continue
+            next_y = y_int + dy
+            if next_y < 0 or next_y == walls.height: continue
+            if not walls[next_x][next_y]: neighbors.append((next_x, next_y))
+        return neighbors
+    getLegalNeighbors = staticmethod(getLegalNeighbors)
+
+    def getSuccessor(position, action):
+        dx, dy = Actions.directionToVector(action)
+        x, y = position
+        return (x + dx, y + dy)
+    getSuccessor = staticmethod(getSuccessor)
+
+class GameStateData:
+    """
+
+    """
+    def __init__( self, prevState = None ):
+        """
+        Generates a new data packet by copying information from its predecessor.
+        """
+        if prevState != None:
+            self.food = prevState.food.shallowCopy()
+            self.capsules = prevState.capsules[:]
+            self.agentStates = self.copyAgentStates( prevState.agentStates )
+            self.layout = prevState.layout
+            self._eaten = prevState._eaten
+            self.score = prevState.score
+
+        self._foodEaten = None
+        self._foodAdded = None
+        self._capsuleEaten = None
+        self._agentMoved = None
+        self._lose = False
+        self._win = False
+        self.scoreChange = 0
+
+    def deepCopy( self ):
+        state = GameStateData( self )
+        state.food = self.food.deepCopy()
+        state.layout = self.layout.deepCopy()
+        state._agentMoved = self._agentMoved
+        state._foodEaten = self._foodEaten
+        state._foodAdded = self._foodAdded
+        state._capsuleEaten = self._capsuleEaten
+        return state
+
+    def copyAgentStates( self, agentStates ):
+        copiedStates = []
+        for agentState in agentStates:
+            copiedStates.append( agentState.copy() )
+        return copiedStates
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        if other == None: return False
+        # TODO Check for type of other
+        if not self.agentStates == other.agentStates: return False
+        if not self.food == other.food: return False
+        if not self.capsules == other.capsules: return False
+        if not self.score == other.score: return False
+        return True
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        for i, state in enumerate( self.agentStates ):
+            try:
+                int(hash(state))
+            except TypeError, e:
+                print e
+                #hash(state)
+        return int((hash(tuple(self.agentStates)) + 13*hash(self.food) + 113* hash(tuple(self.capsules)) + 7 * hash(self.score)) % 1048575 )
+
+    def __str__( self ):
+        width, height = self.layout.width, self.layout.height
+        map = Grid(width, height)
+        if type(self.food) == type((1,2)):
+            self.food = reconstituteGrid(self.food)
+        for x in range(width):
+            for y in range(height):
+                food, walls = self.food, self.layout.walls
+                map[x][y] = self._foodWallStr(food[x][y], walls[x][y])
+
+        for agentState in self.agentStates:
+            if agentState == None: continue
+            if agentState.configuration == None: continue
+            x,y = [int( i ) for i in nearestPoint( agentState.configuration.pos )]
+            agent_dir = agentState.configuration.direction
+            if agentState.isPacman:
+                map[x][y] = self._pacStr( agent_dir )
+            else:
+                map[x][y] = self._ghostStr( agent_dir )
+
+        for x, y in self.capsules:
+            map[x][y] = 'o'
+
+        return str(map) + ("\nScore: %d\n" % self.score)
+
+    def _foodWallStr( self, hasFood, hasWall ):
+        if hasFood:
+            return '.'
+        elif hasWall:
+            return '%'
+        else:
+            return ' '
+
+    def _pacStr( self, dir ):
+        if dir == Directions.NORTH:
+            return 'v'
+        if dir == Directions.SOUTH:
+            return '^'
+        if dir == Directions.WEST:
+            return '>'
+        return '<'
+
+    def _ghostStr( self, dir ):
+        return 'G'
+        if dir == Directions.NORTH:
+            return 'M'
+        if dir == Directions.SOUTH:
+            return 'W'
+        if dir == Directions.WEST:
+            return '3'
+        return 'E'
+
+    def initialize( self, layout, numGhostAgents ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.food = layout.food.copy()
+        #self.capsules = []
+        self.capsules = layout.capsules[:]
+        self.layout = layout
+        self.score = 0
+        self.scoreChange = 0
+
+        self.agentStates = []
+        numGhosts = 0
+        for isPacman, pos in layout.agentPositions:
+            if not isPacman:
+                if numGhosts == numGhostAgents: continue # Max ghosts reached already
+                else: numGhosts += 1
+            self.agentStates.append( AgentState( Configuration( pos, Directions.STOP), isPacman) )
+        self._eaten = [False for a in self.agentStates]
+
+try:
+    import boinc
+    _BOINC_ENABLED = True
+except:
+    _BOINC_ENABLED = False
+
+class Game:
+    """
+    The Game manages the control flow, soliciting actions from agents.
+    """
+
+    def __init__( self, agents, display, rules, startingIndex=0, muteAgents=False, catchExceptions=False ):
+        self.agentCrashed = False
+        self.agents = agents
+        self.display = display
+        self.rules = rules
+        self.startingIndex = startingIndex
+        self.gameOver = False
+        self.muteAgents = muteAgents
+        self.catchExceptions = catchExceptions
+        self.moveHistory = []
+        self.totalAgentTimes = [0 for agent in agents]
+        self.totalAgentTimeWarnings = [0 for agent in agents]
+        self.agentTimeout = False
+        import cStringIO
+        self.agentOutput = [cStringIO.StringIO() for agent in agents]
+
+    def getProgress(self):
+        if self.gameOver:
+            return 1.0
+        else:
+            return self.rules.getProgress(self)
+
+    def _agentCrash( self, agentIndex, quiet=False):
+        "Helper method for handling agent crashes"
+        if not quiet: traceback.print_exc()
+        self.gameOver = True
+        self.agentCrashed = True
+        self.rules.agentCrash(self, agentIndex)
+
+    OLD_STDOUT = None
+    OLD_STDERR = None
+
+    def mute(self, agentIndex):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        import cStringIO
+        OLD_STDOUT = sys.stdout
+        OLD_STDERR = sys.stderr
+        sys.stdout = self.agentOutput[agentIndex]
+        sys.stderr = self.agentOutput[agentIndex]
+
+    def unmute(self):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        # Revert stdout/stderr to originals
+        sys.stdout = OLD_STDOUT
+        sys.stderr = OLD_STDERR
+
+
+    def run( self ):
+        """
+        Main control loop for game play.
+        """
+        self.display.initialize(self.state.data)
+        self.numMoves = 0
+
+        ###self.display.initialize(self.state.makeObservation(1).data)
+        # inform learning agents of the game start
+        for i in range(len(self.agents)):
+            agent = self.agents[i]
+            if not agent:
+                self.mute(i)
+                # this is a null agent, meaning it failed to load
+                # the other team wins
+                print >>sys.stderr, "Agent %d failed to load" % i
+                self.unmute()
+                self._agentCrash(i, quiet=True)
+                return
+            if ("registerInitialState" in dir(agent)):
+                self.mute(i)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.registerInitialState, int(self.rules.getMaxStartupTime(i)))
+                        try:
+                            start_time = time.time()
+                            timed_func(self.state.deepCopy())
+                            time_taken = time.time() - start_time
+                            self.totalAgentTimes[i] += time_taken
+                        except TimeoutFunctionException:
+                            print >>sys.stderr, "Agent %d ran out of time on startup!" % i
+                            self.unmute()
+                            self.agentTimeout = True
+                            self._agentCrash(i, quiet=True)
+                            return
+                    except Exception,data:
+                        self._agentCrash(i, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    agent.registerInitialState(self.state.deepCopy())
+                ## TODO: could this exceed the total time
+                self.unmute()
+
+        agentIndex = self.startingIndex
+        numAgents = len( self.agents )
+
+        while not self.gameOver:
+            # Fetch the next agent
+            agent = self.agents[agentIndex]
+            move_time = 0
+            skip_action = False
+            # Generate an observation of the state
+            if 'observationFunction' in dir( agent ):
+                self.mute(agentIndex)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.observationFunction, int(self.rules.getMoveTimeout(agentIndex)))
+                        try:
+                            start_time = time.time()
+                            observation = timed_func(self.state.deepCopy())
+                        except TimeoutFunctionException:
+                            skip_action = True
+                        move_time += time.time() - start_time
+                        self.unmute()
+                    except Exception,data:
+                        self._agentCrash(agentIndex, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    observation = agent.observationFunction(self.state.deepCopy())
+                self.unmute()
+            else:
+                observation = self.state.deepCopy()
+
+            # Solicit an action
+            action = None
+            self.mute(agentIndex)
+            if self.catchExceptions:
+                try:
+                    timed_func = TimeoutFunction(agent.getAction, int(self.rules.getMoveTimeout(agentIndex)) - int(move_time))
+                    try:
+                        start_time = time.time()
+                        if skip_action:
+                            raise TimeoutFunctionException()
+                        action = timed_func( observation )
+                    except TimeoutFunctionException:
+                        print >>sys.stderr, "Agent %d timed out on a single move!" % agentIndex
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+
+                    move_time += time.time() - start_time
+
+                    if move_time > self.rules.getMoveWarningTime(agentIndex):
+                        self.totalAgentTimeWarnings[agentIndex] += 1
+                        print >>sys.stderr, "Agent %d took too long to make a move! This is warning %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                        if self.totalAgentTimeWarnings[agentIndex] > self.rules.getMaxTimeWarnings(agentIndex):
+                            print >>sys.stderr, "Agent %d exceeded the maximum number of warnings: %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                            self.agentTimeout = True
+                            self._agentCrash(agentIndex, quiet=True)
+                            self.unmute()
+                            return
+
+                    self.totalAgentTimes[agentIndex] += move_time
+                    #print "Agent: %d, time: %f, total: %f" % (agentIndex, move_time, self.totalAgentTimes[agentIndex])
+                    if self.totalAgentTimes[agentIndex] > self.rules.getMaxTotalTime(agentIndex):
+                        print >>sys.stderr, "Agent %d ran out of time! (time: %1.2f)" % (agentIndex, self.totalAgentTimes[agentIndex])
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+                    self.unmute()
+                except Exception,data:
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                action = agent.getAction(observation)
+            self.unmute()
+
+            # Execute the action
+            self.moveHistory.append( (agentIndex, action) )
+            if self.catchExceptions:
+                try:
+                    self.state = self.state.generateSuccessor( agentIndex, action )
+                except Exception,data:
+                    self.mute(agentIndex)
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                self.state = self.state.generateSuccessor( agentIndex, action )
+
+            # Change the display
+            self.display.update( self.state.data )
+            ###idx = agentIndex - agentIndex % 2 + 1
+            ###self.display.update( self.state.makeObservation(idx).data )
+
+            # Allow for game specific conditions (winning, losing, etc.)
+            self.rules.process(self.state, self)
+            # Track progress
+            if agentIndex == numAgents + 1: self.numMoves += 1
+            # Next agent
+            agentIndex = ( agentIndex + 1 ) % numAgents
+
+            if _BOINC_ENABLED:
+                boinc.set_fraction_done(self.getProgress())
+
+        # inform a learning agent of the game result
+        for agentIndex, agent in enumerate(self.agents):
+            if "final" in dir( agent ) :
+                try:
+                    self.mute(agentIndex)
+                    agent.final( self.state )
+                    self.unmute()
+                except Exception,data:
+                    if not self.catchExceptions: raise
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+        self.display.finish()
diff --git a/cs188-projects-master/P3 Reinforcement Learning/game.pyc b/cs188-projects-master/P3 Reinforcement Learning/game.pyc
new file mode 100644
index 0000000..404936b
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/game.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/ghostAgents.py b/cs188-projects-master/P3 Reinforcement Learning/ghostAgents.py
new file mode 100644
index 0000000..c3afe1f
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/ghostAgents.py	
@@ -0,0 +1,81 @@
+# ghostAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Actions
+from game import Directions
+import random
+from util import manhattanDistance
+import util
+
+class GhostAgent( Agent ):
+    def __init__( self, index ):
+        self.index = index
+
+    def getAction( self, state ):
+        dist = self.getDistribution(state)
+        if len(dist) == 0:
+            return Directions.STOP
+        else:
+            return util.chooseFromDistribution( dist )
+
+    def getDistribution(self, state):
+        "Returns a Counter encoding a distribution over actions from the provided state."
+        util.raiseNotDefined()
+
+class RandomGhost( GhostAgent ):
+    "A ghost that chooses a legal action uniformly at random."
+    def getDistribution( self, state ):
+        dist = util.Counter()
+        for a in state.getLegalActions( self.index ): dist[a] = 1.0
+        dist.normalize()
+        return dist
+
+class DirectionalGhost( GhostAgent ):
+    "A ghost that prefers to rush Pacman, or flee when scared."
+    def __init__( self, index, prob_attack=0.8, prob_scaredFlee=0.8 ):
+        self.index = index
+        self.prob_attack = prob_attack
+        self.prob_scaredFlee = prob_scaredFlee
+
+    def getDistribution( self, state ):
+        # Read variables from state
+        ghostState = state.getGhostState( self.index )
+        legalActions = state.getLegalActions( self.index )
+        pos = state.getGhostPosition( self.index )
+        isScared = ghostState.scaredTimer > 0
+
+        speed = 1
+        if isScared: speed = 0.5
+
+        actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions]
+        newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors]
+        pacmanPosition = state.getPacmanPosition()
+
+        # Select best actions given the state
+        distancesToPacman = [manhattanDistance( pos, pacmanPosition ) for pos in newPositions]
+        if isScared:
+            bestScore = max( distancesToPacman )
+            bestProb = self.prob_scaredFlee
+        else:
+            bestScore = min( distancesToPacman )
+            bestProb = self.prob_attack
+        bestActions = [action for action, distance in zip( legalActions, distancesToPacman ) if distance == bestScore]
+
+        # Construct distribution
+        dist = util.Counter()
+        for a in bestActions: dist[a] = bestProb / len(bestActions)
+        for a in legalActions: dist[a] += ( 1-bestProb ) / len(legalActions)
+        dist.normalize()
+        return dist
diff --git a/cs188-projects-master/P3 Reinforcement Learning/ghostAgents.pyc b/cs188-projects-master/P3 Reinforcement Learning/ghostAgents.pyc
new file mode 100644
index 0000000..b11a037
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/ghostAgents.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/grading.py b/cs188-projects-master/P3 Reinforcement Learning/grading.py
new file mode 100644
index 0000000..2b46f59
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/grading.py	
@@ -0,0 +1,323 @@
+# grading.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"Common code for autograders"
+
+import cgi
+import time
+import sys
+import json
+import traceback
+import pdb
+from collections import defaultdict
+import util
+
+class Grades:
+  "A data structure for project grades, along with formatting code to display them"
+  def __init__(self, projectName, questionsAndMaxesList,
+               gsOutput=False, edxOutput=False, muteOutput=False):
+    """
+    Defines the grading scheme for a project
+      projectName: project name
+      questionsAndMaxesDict: a list of (question name, max points per question)
+    """
+    self.questions = [el[0] for el in questionsAndMaxesList]
+    self.maxes = dict(questionsAndMaxesList)
+    self.points = Counter()
+    self.messages = dict([(q, []) for q in self.questions])
+    self.project = projectName
+    self.start = time.localtime()[1:6]
+    self.sane = True # Sanity checks
+    self.currentQuestion = None # Which question we're grading
+    self.edxOutput = edxOutput
+    self.gsOutput = gsOutput  # GradeScope output
+    self.mute = muteOutput
+    self.prereqs = defaultdict(set)
+
+    #print 'Autograder transcript for %s' % self.project
+    print 'Starting on %d-%d at %d:%02d:%02d' % self.start
+
+  def addPrereq(self, question, prereq):
+    self.prereqs[question].add(prereq)
+
+  def grade(self, gradingModule, exceptionMap = {}, bonusPic = False):
+    """
+    Grades each question
+      gradingModule: the module with all the grading functions (pass in with sys.modules[__name__])
+    """
+
+    completedQuestions = set([])
+    for q in self.questions:
+      print '\nQuestion %s' % q
+      print '=' * (9 + len(q))
+      print
+      self.currentQuestion = q
+
+      incompleted = self.prereqs[q].difference(completedQuestions)
+      if len(incompleted) > 0:
+          prereq = incompleted.pop()
+          print \
+"""*** NOTE: Make sure to complete Question %s before working on Question %s,
+*** because Question %s builds upon your answer for Question %s.
+""" % (prereq, q, q, prereq)
+          continue
+
+      if self.mute: util.mutePrint()
+      try:
+        util.TimeoutFunction(getattr(gradingModule, q),300)(self) # Call the question's function
+        #TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function
+      except Exception, inst:
+        self.addExceptionMessage(q, inst, traceback)
+        self.addErrorHints(exceptionMap, inst, q[1])
+      except:
+        self.fail('FAIL: Terminated with a string exception.')
+      finally:
+        if self.mute: util.unmutePrint()
+
+      if self.points[q] >= self.maxes[q]:
+        completedQuestions.add(q)
+
+      print '\n### Question %s: %d/%d ###\n' % (q, self.points[q], self.maxes[q])
+
+
+    print '\nFinished at %d:%02d:%02d' % time.localtime()[3:6]
+    print "\nProvisional grades\n=================="
+
+    for q in self.questions:
+      print 'Question %s: %d/%d' % (q, self.points[q], self.maxes[q])
+    print '------------------'
+    print 'Total: %d/%d' % (self.points.totalCount(), sum(self.maxes.values()))
+    if bonusPic and self.points.totalCount() == 25:
+      print """
+
+                     ALL HAIL GRANDPAC.
+              LONG LIVE THE GHOSTBUSTING KING.
+
+                  ---      ----      ---
+                  |  \    /  + \    /  |
+                  | + \--/      \--/ + |
+                  |   +     +          |
+                  | +     +        +   |
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+             \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              V   \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                   \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    V     @@@@@@@@@@@@@@@@@@@@@@@@
+                            @@@@@@@@@@@@@@@@@@@@@@
+                    /\      @@@@@@@@@@@@@@@@@@@@@@
+                   /  \  @@@@@@@@@@@@@@@@@@@@@@@@@
+              /\  /    @@@@@@@@@@@@@@@@@@@@@@@@@@@
+             /  \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            /    @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    @@@@@@@@@@@@@@@@@@
+
+"""
+    print """
+Your grades are NOT yet registered.  To register your grades, make sure
+to follow your instructor's guidelines to receive credit on your project.
+"""
+
+    if self.edxOutput:
+        self.produceOutput()
+    if self.gsOutput:
+        self.produceGradeScopeOutput()
+
+  def addExceptionMessage(self, q, inst, traceback):
+    """
+    Method to format the exception message, this is more complicated because
+    we need to cgi.escape the traceback but wrap the exception in a 
 tag
+    """
+    self.fail('FAIL: Exception raised: %s' % inst)
+    self.addMessage('')
+    for line in traceback.format_exc().split('\n'):
+        self.addMessage(line)
+
+  def addErrorHints(self, exceptionMap, errorInstance, questionNum):
+    typeOf = str(type(errorInstance))
+    questionName = 'q' + questionNum
+    errorHint = ''
+
+    # question specific error hints
+    if exceptionMap.get(questionName):
+      questionMap = exceptionMap.get(questionName)
+      if (questionMap.get(typeOf)):
+        errorHint = questionMap.get(typeOf)
+    # fall back to general error messages if a question specific
+    # one does not exist
+    if (exceptionMap.get(typeOf)):
+      errorHint = exceptionMap.get(typeOf)
+
+    # dont include the HTML if we have no error hint
+    if not errorHint:
+      return ''
+
+    for line in errorHint.split('\n'):
+      self.addMessage(line)
+
+  def produceGradeScopeOutput(self):
+    out_dct = {}
+
+    # total of entire submission
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    out_dct['score'] = total_score
+    out_dct['max_score'] = total_possible
+    out_dct['output'] = "Total score (%d / %d)" % (total_score, total_possible)
+
+    # individual tests
+    tests_out = []
+    for name in self.questions:
+      test_out = {}
+      # test name
+      test_out['name'] = name
+      # test score
+      test_out['score'] = self.points[name]
+      test_out['max_score'] = self.maxes[name]
+      # others
+      is_correct = self.points[name] >= self.maxes[name]
+      test_out['output'] = "  Question {num} ({points}/{max}) {correct}".format(
+          num=(name[1] if len(name) == 2 else name),
+          points=test_out['score'],
+          max=test_out['max_score'],
+          correct=('X' if not is_correct else ''),
+      )
+      test_out['tags'] = []
+      tests_out.append(test_out)
+    out_dct['tests'] = tests_out
+
+    # file output
+    with open('gradescope_response.json', 'w') as outfile:
+        json.dump(out_dct, outfile)
+    return
+
+  def produceOutput(self):
+    edxOutput = open('edx_response.html', 'w')
+    edxOutput.write("
")
+
+    # first sum
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    checkOrX = ''
+    if (total_score >= total_possible):
+        checkOrX = ''
+    header = """
+        

+            Total score ({total_score} / {total_possible})
+        

+    """.format(total_score = total_score,
+      total_possible = total_possible,
+      checkOrX = checkOrX
+    )
+    edxOutput.write(header)
+
+    for q in self.questions:
+      if len(q) == 2:
+          name = q[1]
+      else:
+          name = q
+      checkOrX = ''
+      if (self.points[q] >= self.maxes[q]):
+        checkOrX = ''
+      #messages = '\n
\n'.join(self.messages[q])
+      messages = "
%s
" % '\n'.join(self.messages[q])
+      output = """
+        

+          

+          

+            Question {q} ({points}/{max}) {checkOrX}
+          

+        

+          {messages}
+        

+        

+      

+      """.format(q = name,
+        max = self.maxes[q],
+        messages = messages,
+        checkOrX = checkOrX,
+        points = self.points[q]
+      )
+      # print "*** output for Question %s " % q[1]
+      # print output
+      edxOutput.write(output)
+    edxOutput.write("
")
+    edxOutput.close()
+    edxOutput = open('edx_grade', 'w')
+    edxOutput.write(str(self.points.totalCount()))
+    edxOutput.close()
+
+  def fail(self, message, raw=False):
+    "Sets sanity check bit to false and outputs a message"
+    self.sane = False
+    self.assignZeroCredit()
+    self.addMessage(message, raw)
+
+  def assignZeroCredit(self):
+    self.points[self.currentQuestion] = 0
+
+  def addPoints(self, amt):
+    self.points[self.currentQuestion] += amt
+
+  def deductPoints(self, amt):
+    self.points[self.currentQuestion] -= amt
+
+  def assignFullCredit(self, message="", raw=False):
+    self.points[self.currentQuestion] = self.maxes[self.currentQuestion]
+    if message != "":
+      self.addMessage(message, raw)
+
+  def addMessage(self, message, raw=False):
+    if not raw:
+        # We assume raw messages, formatted for HTML, are printed separately
+        if self.mute: util.unmutePrint()
+        print '*** ' + message
+        if self.mute: util.mutePrint()
+        message = cgi.escape(message)
+    self.messages[self.currentQuestion].append(message)
+
+  def addMessageToEmail(self, message):
+    print "WARNING**** addMessageToEmail is deprecated %s" % message
+    for line in message.split('\n'):
+      pass
+      #print '%%% ' + line + ' %%%'
+      #self.messages[self.currentQuestion].append(line)
+
+
+
+
+
+class Counter(dict):
+  """
+  Dict with default 0
+  """
+  def __getitem__(self, idx):
+    try:
+      return dict.__getitem__(self, idx)
+    except KeyError:
+      return 0
+
+  def totalCount(self):
+    """
+    Returns the sum of counts for all keys.
+    """
+    return sum(self.values())
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/grading.pyc b/cs188-projects-master/P3 Reinforcement Learning/grading.pyc
new file mode 100644
index 0000000..6e139db
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/grading.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/graphicsCrawlerDisplay.py b/cs188-projects-master/P3 Reinforcement Learning/graphicsCrawlerDisplay.py
new file mode 100644
index 0000000..4c9cf41
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/graphicsCrawlerDisplay.py	
@@ -0,0 +1,333 @@
+# graphicsCrawlerDisplay.py
+# -------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# graphicsCrawlerDisplay.py
+# -------------------------
+# Licensing Information: Please do not distribute or publish solutions to this
+# project. You are free to use and extend these projects for educational
+# purposes. The Pacman AI projects were developed at UC Berkeley, primarily by
+# John DeNero (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and Pieter
+# Abbeel in Spring 2013.
+# For more info, see http://inst.eecs.berkeley.edu/~cs188/pacman/pacman.html
+
+import Tkinter
+import qlearningAgents
+import time
+import threading
+import sys
+import crawler
+#import pendulum
+import math
+from math import pi as PI
+
+robotType = 'crawler'
+
+class Application:
+
+    def sigmoid(self, x):
+        return 1.0 / (1.0 + 2.0 ** (-x))
+
+    def incrementSpeed(self, inc):
+        self.tickTime *= inc
+#        self.epsilon = min(1.0, self.epsilon)
+#        self.epsilon = max(0.0,self.epsilon)
+#        self.learner.setSpeed(self.epsilon)
+        self.speed_label['text'] = 'Step Delay: %.5f' % (self.tickTime)
+
+    def incrementEpsilon(self, inc):
+        self.ep += inc
+        self.epsilon = self.sigmoid(self.ep)
+        self.learner.setEpsilon(self.epsilon)
+        self.epsilon_label['text'] = 'Epsilon: %.3f' % (self.epsilon)
+
+    def incrementGamma(self, inc):
+        self.ga += inc
+        self.gamma = self.sigmoid(self.ga)
+        self.learner.setDiscount(self.gamma)
+        self.gamma_label['text'] = 'Discount: %.3f' % (self.gamma)
+
+    def incrementAlpha(self, inc):
+        self.al += inc
+        self.alpha = self.sigmoid(self.al)
+        self.learner.setLearningRate(self.alpha)
+        self.alpha_label['text'] = 'Learning Rate: %.3f' % (self.alpha)
+
+    def __initGUI(self, win):
+        ## Window ##
+        self.win = win
+
+        ## Initialize Frame ##
+        win.grid()
+        self.dec = -.5
+        self.inc = .5
+        self.tickTime = 0.1
+
+        ## Epsilon Button + Label ##
+        self.setupSpeedButtonAndLabel(win)
+
+        self.setupEpsilonButtonAndLabel(win)
+
+        ## Gamma Button + Label ##
+        self.setUpGammaButtonAndLabel(win)
+
+        ## Alpha Button + Label ##
+        self.setupAlphaButtonAndLabel(win)
+
+        ## Exit Button ##
+        #self.exit_button = Tkinter.Button(win,text='Quit', command=self.exit)
+        #self.exit_button.grid(row=0, column=9)
+
+        ## Simulation Buttons ##
+#        self.setupSimulationButtons(win)
+
+         ## Canvas ##
+        self.canvas = Tkinter.Canvas(root, height=200, width=1000)
+        self.canvas.grid(row=2,columnspan=10)
+
+    def setupAlphaButtonAndLabel(self, win):
+        self.alpha_minus = Tkinter.Button(win,
+        text="-",command=(lambda: self.incrementAlpha(self.dec)))
+        self.alpha_minus.grid(row=1, column=3, padx=10)
+
+        self.alpha = self.sigmoid(self.al)
+        self.alpha_label = Tkinter.Label(win, text='Learning Rate: %.3f' % (self.alpha))
+        self.alpha_label.grid(row=1, column=4)
+
+        self.alpha_plus = Tkinter.Button(win,
+        text="+",command=(lambda: self.incrementAlpha(self.inc)))
+        self.alpha_plus.grid(row=1, column=5, padx=10)
+
+    def setUpGammaButtonAndLabel(self, win):
+        self.gamma_minus = Tkinter.Button(win,
+        text="-",command=(lambda: self.incrementGamma(self.dec)))
+        self.gamma_minus.grid(row=1, column=0, padx=10)
+
+        self.gamma = self.sigmoid(self.ga)
+        self.gamma_label = Tkinter.Label(win, text='Discount: %.3f' % (self.gamma))
+        self.gamma_label.grid(row=1, column=1)
+
+        self.gamma_plus = Tkinter.Button(win,
+        text="+",command=(lambda: self.incrementGamma(self.inc)))
+        self.gamma_plus.grid(row=1, column=2, padx=10)
+
+    def setupEpsilonButtonAndLabel(self, win):
+        self.epsilon_minus = Tkinter.Button(win,
+        text="-",command=(lambda: self.incrementEpsilon(self.dec)))
+        self.epsilon_minus.grid(row=0, column=3)
+
+        self.epsilon = self.sigmoid(self.ep)
+        self.epsilon_label = Tkinter.Label(win, text='Epsilon: %.3f' % (self.epsilon))
+        self.epsilon_label.grid(row=0, column=4)
+
+        self.epsilon_plus = Tkinter.Button(win,
+        text="+",command=(lambda: self.incrementEpsilon(self.inc)))
+        self.epsilon_plus.grid(row=0, column=5)
+
+    def setupSpeedButtonAndLabel(self, win):
+        self.speed_minus = Tkinter.Button(win,
+        text="-",command=(lambda: self.incrementSpeed(.5)))
+        self.speed_minus.grid(row=0, column=0)
+
+        self.speed_label = Tkinter.Label(win, text='Step Delay: %.5f' % (self.tickTime))
+        self.speed_label.grid(row=0, column=1)
+
+        self.speed_plus = Tkinter.Button(win,
+        text="+",command=(lambda: self.incrementSpeed(2)))
+        self.speed_plus.grid(row=0, column=2)
+
+
+
+
+
+
+
+    def skip5kSteps(self):
+        self.stepsToSkip = 5000
+
+    def __init__(self, win):
+
+        self.ep = 0
+        self.ga = 2
+        self.al = 2
+        self.stepCount = 0
+        ## Init Gui
+
+        self.__initGUI(win)
+
+        # Init environment
+        if robotType == 'crawler':
+            self.robot = crawler.CrawlingRobot(self.canvas)
+            self.robotEnvironment = crawler.CrawlingRobotEnvironment(self.robot)
+        elif robotType == 'pendulum':
+            self.robot = pendulum.PendulumRobot(self.canvas)
+            self.robotEnvironment = \
+                pendulum.PendulumRobotEnvironment(self.robot)
+        else:
+            raise "Unknown RobotType"
+
+        # Init Agent
+        simulationFn = lambda agent: \
+          simulation.SimulationEnvironment(self.robotEnvironment,agent)
+        actionFn = lambda state: \
+          self.robotEnvironment.getPossibleActions(state)
+        self.learner = qlearningAgents.QLearningAgent(actionFn=actionFn)
+
+        self.learner.setEpsilon(self.epsilon)
+        self.learner.setLearningRate(self.alpha)
+        self.learner.setDiscount(self.gamma)
+
+        # Start GUI
+        self.running = True
+        self.stopped = False
+        self.stepsToSkip = 0
+        self.thread = threading.Thread(target=self.run)
+        self.thread.start()
+
+
+    def exit(self):
+        self.running = False
+        for i in range(5):
+            if not self.stopped:
+                time.sleep(0.1)
+        try:
+            self.win.destroy()
+        except:
+            pass
+        sys.exit(0)
+
+    def step(self):
+
+        self.stepCount += 1
+
+        state = self.robotEnvironment.getCurrentState()
+        actions = self.robotEnvironment.getPossibleActions(state)
+        if len(actions) == 0.0:
+            self.robotEnvironment.reset()
+            state = self.robotEnvironment.getCurrentState()
+            actions = self.robotEnvironment.getPossibleActions(state)
+            print 'Reset!'
+        action = self.learner.getAction(state)
+        if action == None:
+            raise 'None action returned: Code Not Complete'
+        nextState, reward = self.robotEnvironment.doAction(action)
+        self.learner.observeTransition(state, action, nextState, reward)
+
+    def animatePolicy(self):
+        if robotType != 'pendulum':
+            raise 'Only pendulum can animatePolicy'
+
+
+        totWidth = self.canvas.winfo_reqwidth()
+        totHeight = self.canvas.winfo_reqheight()
+
+        length = 0.48 * min(totWidth, totHeight)
+        x,y = totWidth-length-30, length+10
+
+
+
+        angleMin, angleMax = self.robot.getMinAndMaxAngle()
+        velMin, velMax = self.robot.getMinAndMaxAngleVelocity()
+
+        if not 'animatePolicyBox' in dir(self):
+            self.canvas.create_line(x,y,x+length,y)
+            self.canvas.create_line(x+length,y,x+length,y-length)
+            self.canvas.create_line(x+length,y-length,x,y-length)
+            self.canvas.create_line(x,y-length,x,y)
+            self.animatePolicyBox = 1
+            self.canvas.create_text(x+length/2,y+10,text='angle')
+            self.canvas.create_text(x-30,y-length/2,text='velocity')
+            self.canvas.create_text(x-60,y-length/4,text='Blue = kickLeft')
+            self.canvas.create_text(x-60,y-length/4+20,text='Red = kickRight')
+            self.canvas.create_text(x-60,y-length/4+40,text='White = doNothing')
+
+
+
+        angleDelta = (angleMax-angleMin) / 100
+        velDelta = (velMax-velMin) / 100
+        for i in range(100):
+            angle = angleMin + i * angleDelta
+
+            for j in range(100):
+                vel = velMin + j * velDelta
+                state = self.robotEnvironment.getState(angle,vel)
+                max, argMax = None, None
+                if not self.learner.seenState(state):
+                    argMax = 'unseen'
+                else:
+                    for action in ('kickLeft','kickRight','doNothing'):
+                        qVal = self.learner.getQValue(state, action)
+                        if max == None or qVal > max:
+                            max, argMax = qVal, action
+                if argMax != 'unseen':
+                    if argMax == 'kickLeft':
+                        color = 'blue'
+                    elif argMax == 'kickRight':
+                        color = 'red'
+                    elif argMax == 'doNothing':
+                        color = 'white'
+                    dx = length / 100.0
+                    dy = length / 100.0
+                    x0, y0 = x+i*dx, y-j*dy
+                    self.canvas.create_rectangle(x0,y0,x0+dx,y0+dy,fill=color)
+
+
+
+
+    def run(self):
+        self.stepCount = 0
+        self.learner.startEpisode()
+        while True:
+            minSleep = .01
+            tm = max(minSleep, self.tickTime)
+            time.sleep(tm)
+            self.stepsToSkip = int(tm / self.tickTime) - 1
+
+            if not self.running:
+                self.stopped = True
+                return
+            for i in range(self.stepsToSkip):
+                self.step()
+            self.stepsToSkip = 0
+            self.step()
+#          self.robot.draw()
+        self.learner.stopEpisode()
+
+    def start(self):
+        self.win.mainloop()
+
+
+
+
+
+def run():
+    global root
+    root = Tkinter.Tk()
+    root.title( 'Crawler GUI' )
+    root.resizable( 0, 0 )
+
+#  root.mainloop()
+
+
+    app = Application(root)
+    def update_gui():
+        app.robot.draw(app.stepCount, app.tickTime)
+        root.after(10, update_gui)
+    update_gui()
+
+    root.protocol( 'WM_DELETE_WINDOW', app.exit)
+    try:
+        app.start()
+    except:
+        app.exit()
diff --git a/cs188-projects-master/P3 Reinforcement Learning/graphicsDisplay.py b/cs188-projects-master/P3 Reinforcement Learning/graphicsDisplay.py
new file mode 100644
index 0000000..1bfe1b3
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/graphicsDisplay.py	
@@ -0,0 +1,679 @@
+# graphicsDisplay.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsUtils import *
+import math, time
+from game import Directions
+
+###########################
+#  GRAPHICS DISPLAY CODE  #
+###########################
+
+# Most code by Dan Klein and John Denero written or rewritten for cs188, UC Berkeley.
+# Some code from a Pacman implementation by LiveWires, and used / modified with permission.
+
+DEFAULT_GRID_SIZE = 30.0
+INFO_PANE_HEIGHT = 35
+BACKGROUND_COLOR = formatColor(0,0,0)
+WALL_COLOR = formatColor(0.0/255.0, 51.0/255.0, 255.0/255.0)
+INFO_PANE_COLOR = formatColor(.4,.4,0)
+SCORE_COLOR = formatColor(.9, .9, .9)
+PACMAN_OUTLINE_WIDTH = 2
+PACMAN_CAPTURE_OUTLINE_WIDTH = 4
+
+GHOST_COLORS = []
+GHOST_COLORS.append(formatColor(.9,0,0)) # Red
+GHOST_COLORS.append(formatColor(0,.3,.9)) # Blue
+GHOST_COLORS.append(formatColor(.98,.41,.07)) # Orange
+GHOST_COLORS.append(formatColor(.1,.75,.7)) # Green
+GHOST_COLORS.append(formatColor(1.0,0.6,0.0)) # Yellow
+GHOST_COLORS.append(formatColor(.4,0.13,0.91)) # Purple
+
+TEAM_COLORS = GHOST_COLORS[:2]
+
+GHOST_SHAPE = [
+    ( 0,    0.3 ),
+    ( 0.25, 0.75 ),
+    ( 0.5,  0.3 ),
+    ( 0.75, 0.75 ),
+    ( 0.75, -0.5 ),
+    ( 0.5,  -0.75 ),
+    (-0.5,  -0.75 ),
+    (-0.75, -0.5 ),
+    (-0.75, 0.75 ),
+    (-0.5,  0.3 ),
+    (-0.25, 0.75 )
+  ]
+GHOST_SIZE = 0.65
+SCARED_COLOR = formatColor(1,1,1)
+
+GHOST_VEC_COLORS = map(colorToVector, GHOST_COLORS)
+
+PACMAN_COLOR = formatColor(255.0/255.0,255.0/255.0,61.0/255)
+PACMAN_SCALE = 0.5
+#pacman_speed = 0.25
+
+# Food
+FOOD_COLOR = formatColor(1,1,1)
+FOOD_SIZE = 0.1
+
+# Laser
+LASER_COLOR = formatColor(1,0,0)
+LASER_SIZE = 0.02
+
+# Capsule graphics
+CAPSULE_COLOR = formatColor(1,1,1)
+CAPSULE_SIZE = 0.25
+
+# Drawing walls
+WALL_RADIUS = 0.15
+
+class InfoPane:
+    def __init__(self, layout, gridSize):
+        self.gridSize = gridSize
+        self.width = (layout.width) * gridSize
+        self.base = (layout.height + 1) * gridSize
+        self.height = INFO_PANE_HEIGHT
+        self.fontSize = 24
+        self.textColor = PACMAN_COLOR
+        self.drawPane()
+
+    def toScreen(self, pos, y = None):
+        """
+          Translates a point relative from the bottom left of the info pane.
+        """
+        if y == None:
+            x,y = pos
+        else:
+            x = pos
+
+        x = self.gridSize + x # Margin
+        y = self.base + y
+        return x,y
+
+    def drawPane(self):
+        self.scoreText = text( self.toScreen(0, 0  ), self.textColor, "SCORE:    0", "Times", self.fontSize, "bold")
+
+    def initializeGhostDistances(self, distances):
+        self.ghostDistanceText = []
+
+        size = 20
+        if self.width < 240:
+            size = 12
+        if self.width < 160:
+            size = 10
+
+        for i, d in enumerate(distances):
+            t = text( self.toScreen(self.width/2 + self.width/8 * i, 0), GHOST_COLORS[i+1], d, "Times", size, "bold")
+            self.ghostDistanceText.append(t)
+
+    def updateScore(self, score):
+        changeText(self.scoreText, "SCORE: % 4d" % score)
+
+    def setTeam(self, isBlue):
+        text = "RED TEAM"
+        if isBlue: text = "BLUE TEAM"
+        self.teamText = text( self.toScreen(300, 0  ), self.textColor, text, "Times", self.fontSize, "bold")
+
+    def updateGhostDistances(self, distances):
+        if len(distances) == 0: return
+        if 'ghostDistanceText' not in dir(self): self.initializeGhostDistances(distances)
+        else:
+            for i, d in enumerate(distances):
+                changeText(self.ghostDistanceText[i], d)
+
+    def drawGhost(self):
+        pass
+
+    def drawPacman(self):
+        pass
+
+    def drawWarning(self):
+        pass
+
+    def clearIcon(self):
+        pass
+
+    def updateMessage(self, message):
+        pass
+
+    def clearMessage(self):
+        pass
+
+
+class PacmanGraphics:
+    def __init__(self, zoom=1.0, frameTime=0.0, capture=False):
+        self.have_window = 0
+        self.currentGhostImages = {}
+        self.pacmanImage = None
+        self.zoom = zoom
+        self.gridSize = DEFAULT_GRID_SIZE * zoom
+        self.capture = capture
+        self.frameTime = frameTime
+
+    def checkNullDisplay(self):
+        return False
+
+    def initialize(self, state, isBlue = False):
+        self.isBlue = isBlue
+        self.startGraphics(state)
+
+        # self.drawDistributions(state)
+        self.distributionImages = None  # Initialized lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def startGraphics(self, state):
+        self.layout = state.layout
+        layout = self.layout
+        self.width = layout.width
+        self.height = layout.height
+        self.make_window(self.width, self.height)
+        self.infoPane = InfoPane(layout, self.gridSize)
+        self.currentState = layout
+
+    def drawDistributions(self, state):
+        walls = state.layout.walls
+        dist = []
+        for x in range(walls.width):
+            distx = []
+            dist.append(distx)
+            for y in range(walls.height):
+                ( screen_x, screen_y ) = self.to_screen( (x, y) )
+                block = square( (screen_x, screen_y),
+                                0.5 * self.gridSize,
+                                color = BACKGROUND_COLOR,
+                                filled = 1, behind=2)
+                distx.append(block)
+        self.distributionImages = dist
+
+    def drawStaticObjects(self, state):
+        layout = self.layout
+        self.drawWalls(layout.walls)
+        self.food = self.drawFood(layout.food)
+        self.capsules = self.drawCapsules(layout.capsules)
+        refresh()
+
+    def drawAgentObjects(self, state):
+        self.agentImages = [] # (agentState, image)
+        for index, agent in enumerate(state.agentStates):
+            if agent.isPacman:
+                image = self.drawPacman(agent, index)
+                self.agentImages.append( (agent, image) )
+            else:
+                image = self.drawGhost(agent, index)
+                self.agentImages.append( (agent, image) )
+        refresh()
+
+    def swapImages(self, agentIndex, newState):
+        """
+          Changes an image from a ghost to a pacman or vis versa (for capture)
+        """
+        prevState, prevImage = self.agentImages[agentIndex]
+        for item in prevImage: remove_from_screen(item)
+        if newState.isPacman:
+            image = self.drawPacman(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        else:
+            image = self.drawGhost(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        refresh()
+
+    def update(self, newState):
+        agentIndex = newState._agentMoved
+        agentState = newState.agentStates[agentIndex]
+
+        if self.agentImages[agentIndex][0].isPacman != agentState.isPacman: self.swapImages(agentIndex, agentState)
+        prevState, prevImage = self.agentImages[agentIndex]
+        if agentState.isPacman:
+            self.animatePacman(agentState, prevState, prevImage)
+        else:
+            self.moveGhost(agentState, agentIndex, prevState, prevImage)
+        self.agentImages[agentIndex] = (agentState, prevImage)
+
+        if newState._foodEaten != None:
+            self.removeFood(newState._foodEaten, self.food)
+        if newState._capsuleEaten != None:
+            self.removeCapsule(newState._capsuleEaten, self.capsules)
+        self.infoPane.updateScore(newState.score)
+        if 'ghostDistances' in dir(newState):
+            self.infoPane.updateGhostDistances(newState.ghostDistances)
+
+    def make_window(self, width, height):
+        grid_width = (width-1) * self.gridSize
+        grid_height = (height-1) * self.gridSize
+        screen_width = 2*self.gridSize + grid_width
+        screen_height = 2*self.gridSize + grid_height + INFO_PANE_HEIGHT
+
+        begin_graphics(screen_width,
+                       screen_height,
+                       BACKGROUND_COLOR,
+                       "CS188 Pacman")
+
+    def drawPacman(self, pacman, index):
+        position = self.getPosition(pacman)
+        screen_point = self.to_screen(position)
+        endpoints = self.getEndpoints(self.getDirection(pacman))
+
+        width = PACMAN_OUTLINE_WIDTH
+        outlineColor = PACMAN_COLOR
+        fillColor = PACMAN_COLOR
+
+        if self.capture:
+            outlineColor = TEAM_COLORS[index % 2]
+            fillColor = GHOST_COLORS[index]
+            width = PACMAN_CAPTURE_OUTLINE_WIDTH
+
+        return [circle(screen_point, PACMAN_SCALE * self.gridSize,
+                       fillColor = fillColor, outlineColor = outlineColor,
+                       endpoints = endpoints,
+                       width = width)]
+
+    def getEndpoints(self, direction, position=(0,0)):
+        x, y = position
+        pos = x - int(x) + y - int(y)
+        width = 30 + 80 * math.sin(math.pi* pos)
+
+        delta = width / 2
+        if (direction == 'West'):
+            endpoints = (180+delta, 180-delta)
+        elif (direction == 'North'):
+            endpoints = (90+delta, 90-delta)
+        elif (direction == 'South'):
+            endpoints = (270+delta, 270-delta)
+        else:
+            endpoints = (0+delta, 0-delta)
+        return endpoints
+
+    def movePacman(self, position, direction, image):
+        screenPosition = self.to_screen(position)
+        endpoints = self.getEndpoints( direction, position )
+        r = PACMAN_SCALE * self.gridSize
+        moveCircle(image[0], screenPosition, r, endpoints)
+        refresh()
+
+    def animatePacman(self, pacman, prevPacman, image):
+        if self.frameTime < 0:
+            print 'Press any key to step forward, "q" to play'
+            keys = wait_for_keys()
+            if 'q' in keys:
+                self.frameTime = 0.1
+        if self.frameTime > 0.01 or self.frameTime < 0:
+            start = time.time()
+            fx, fy = self.getPosition(prevPacman)
+            px, py = self.getPosition(pacman)
+            frames = 4.0
+            for i in range(1,int(frames) + 1):
+                pos = px*i/frames + fx*(frames-i)/frames, py*i/frames + fy*(frames-i)/frames
+                self.movePacman(pos, self.getDirection(pacman), image)
+                refresh()
+                sleep(abs(self.frameTime) / frames)
+        else:
+            self.movePacman(self.getPosition(pacman), self.getDirection(pacman), image)
+        refresh()
+
+    def getGhostColor(self, ghost, ghostIndex):
+        if ghost.scaredTimer > 0:
+            return SCARED_COLOR
+        else:
+            return GHOST_COLORS[ghostIndex]
+
+    def drawGhost(self, ghost, agentIndex):
+        pos = self.getPosition(ghost)
+        dir = self.getDirection(ghost)
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        coords = []
+        for (x, y) in GHOST_SHAPE:
+            coords.append((x*self.gridSize*GHOST_SIZE + screen_x, y*self.gridSize*GHOST_SIZE + screen_y))
+
+        colour = self.getGhostColor(ghost, agentIndex)
+        body = polygon(coords, colour, filled = 1)
+        WHITE = formatColor(1.0, 1.0, 1.0)
+        BLACK = formatColor(0.0, 0.0, 0.0)
+
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        leftEye = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        rightEye = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        leftPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        rightPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        ghostImageParts = []
+        ghostImageParts.append(body)
+        ghostImageParts.append(leftEye)
+        ghostImageParts.append(rightEye)
+        ghostImageParts.append(leftPupil)
+        ghostImageParts.append(rightPupil)
+
+        return ghostImageParts
+
+    def moveEyes(self, pos, dir, eyes):
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        moveCircle(eyes[0],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[1],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[2],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+        moveCircle(eyes[3],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+
+    def moveGhost(self, ghost, ghostIndex, prevGhost, ghostImageParts):
+        old_x, old_y = self.to_screen(self.getPosition(prevGhost))
+        new_x, new_y = self.to_screen(self.getPosition(ghost))
+        delta = new_x - old_x, new_y - old_y
+
+        for ghostImagePart in ghostImageParts:
+            move_by(ghostImagePart, delta)
+        refresh()
+
+        if ghost.scaredTimer > 0:
+            color = SCARED_COLOR
+        else:
+            color = GHOST_COLORS[ghostIndex]
+        edit(ghostImageParts[0], ('fill', color), ('outline', color))
+        self.moveEyes(self.getPosition(ghost), self.getDirection(ghost), ghostImageParts[-4:])
+        refresh()
+
+    def getPosition(self, agentState):
+        if agentState.configuration == None: return (-1000, -1000)
+        return agentState.getPosition()
+
+    def getDirection(self, agentState):
+        if agentState.configuration == None: return Directions.STOP
+        return agentState.configuration.getDirection()
+
+    def finish(self):
+        end_graphics()
+
+    def to_screen(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    # Fixes some TK issue with off-center circles
+    def to_screen2(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    def drawWalls(self, wallMatrix):
+        wallColor = WALL_COLOR
+        for xNum, x in enumerate(wallMatrix):
+            if self.capture and (xNum * 2) < wallMatrix.width: wallColor = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) >= wallMatrix.width: wallColor = TEAM_COLORS[1]
+
+            for yNum, cell in enumerate(x):
+                if cell: # There's a wall here
+                    pos = (xNum, yNum)
+                    screen = self.to_screen(pos)
+                    screen2 = self.to_screen2(pos)
+
+                    # draw each quadrant of the square based on adjacent walls
+                    wIsWall = self.isWall(xNum-1, yNum, wallMatrix)
+                    eIsWall = self.isWall(xNum+1, yNum, wallMatrix)
+                    nIsWall = self.isWall(xNum, yNum+1, wallMatrix)
+                    sIsWall = self.isWall(xNum, yNum-1, wallMatrix)
+                    nwIsWall = self.isWall(xNum-1, yNum+1, wallMatrix)
+                    swIsWall = self.isWall(xNum-1, yNum-1, wallMatrix)
+                    neIsWall = self.isWall(xNum+1, yNum+1, wallMatrix)
+                    seIsWall = self.isWall(xNum+1, yNum-1, wallMatrix)
+
+                    # NE quadrant
+                    if (not nIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (0,91), 'arc')
+                    if (nIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (eIsWall) and (not neIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (180,271), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # NW quadrant
+                    if (not nIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (90,181), 'arc')
+                    if (nIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (wIsWall) and (not nwIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (270,361), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # SE quadrant
+                    if (not sIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (270,361), 'arc')
+                    if (sIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (eIsWall) and (not seIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (90,181), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+                    # SW quadrant
+                    if (not sIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (180,271), 'arc')
+                    if (sIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (wIsWall) and (not swIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (0,91), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+    def isWall(self, x, y, walls):
+        if x < 0 or y < 0:
+            return False
+        if x >= walls.width or y >= walls.height:
+            return False
+        return walls[x][y]
+
+    def drawFood(self, foodMatrix ):
+        foodImages = []
+        color = FOOD_COLOR
+        for xNum, x in enumerate(foodMatrix):
+            if self.capture and (xNum * 2) <= foodMatrix.width: color = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) > foodMatrix.width: color = TEAM_COLORS[1]
+            imageRow = []
+            foodImages.append(imageRow)
+            for yNum, cell in enumerate(x):
+                if cell: # There's food here
+                    screen = self.to_screen((xNum, yNum ))
+                    dot = circle( screen,
+                                  FOOD_SIZE * self.gridSize,
+                                  outlineColor = color, fillColor = color,
+                                  width = 1)
+                    imageRow.append(dot)
+                else:
+                    imageRow.append(None)
+        return foodImages
+
+    def drawCapsules(self, capsules ):
+        capsuleImages = {}
+        for capsule in capsules:
+            ( screen_x, screen_y ) = self.to_screen(capsule)
+            dot = circle( (screen_x, screen_y),
+                              CAPSULE_SIZE * self.gridSize,
+                              outlineColor = CAPSULE_COLOR,
+                              fillColor = CAPSULE_COLOR,
+                              width = 1)
+            capsuleImages[capsule] = dot
+        return capsuleImages
+
+    def removeFood(self, cell, foodImages ):
+        x, y = cell
+        remove_from_screen(foodImages[x][y])
+
+    def removeCapsule(self, cell, capsuleImages ):
+        x, y = cell
+        remove_from_screen(capsuleImages[(x, y)])
+
+    def drawExpandedCells(self, cells):
+        """
+        Draws an overlay of expanded grid positions for search agents
+        """
+        n = float(len(cells))
+        baseColor = [1.0, 0.0, 0.0]
+        self.clearExpandedCells()
+        self.expandedCells = []
+        for k, cell in enumerate(cells):
+            screenPos = self.to_screen( cell)
+            cellColor = formatColor(*[(n-k) * c * .5 / n + .25 for c in baseColor])
+            block = square(screenPos,
+                     0.5 * self.gridSize,
+                     color = cellColor,
+                     filled = 1, behind=2)
+            self.expandedCells.append(block)
+            if self.frameTime < 0:
+                refresh()
+
+    def clearExpandedCells(self):
+        if 'expandedCells' in dir(self) and len(self.expandedCells) > 0:
+            for cell in self.expandedCells:
+                remove_from_screen(cell)
+
+
+    def updateDistributions(self, distributions):
+        "Draws an agent's belief distributions"
+        # copy all distributions so we don't change their state
+        distributions = map(lambda x: x.copy(), distributions)
+        if self.distributionImages == None:
+            self.drawDistributions(self.previousState)
+        for x in range(len(self.distributionImages)):
+            for y in range(len(self.distributionImages[0])):
+                image = self.distributionImages[x][y]
+                weights = [dist[ (x,y) ] for dist in distributions]
+
+                if sum(weights) != 0:
+                    pass
+                # Fog of war
+                color = [0.0,0.0,0.0]
+                colors = GHOST_VEC_COLORS[1:] # With Pacman
+                if self.capture: colors = GHOST_VEC_COLORS
+                for weight, gcolor in zip(weights, colors):
+                    color = [min(1.0, c + 0.95 * g * weight ** .3) for c,g in zip(color, gcolor)]
+                changeColor(image, formatColor(*color))
+        refresh()
+
+class FirstPersonPacmanGraphics(PacmanGraphics):
+    def __init__(self, zoom = 1.0, showGhosts = True, capture = False, frameTime=0):
+        PacmanGraphics.__init__(self, zoom, frameTime=frameTime)
+        self.showGhosts = showGhosts
+        self.capture = capture
+
+    def initialize(self, state, isBlue = False):
+
+        self.isBlue = isBlue
+        PacmanGraphics.startGraphics(self, state)
+        # Initialize distribution images
+        walls = state.layout.walls
+        dist = []
+        self.layout = state.layout
+
+        # Draw the rest
+        self.distributionImages = None  # initialize lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def lookAhead(self, config, state):
+        if config.getDirection() == 'Stop':
+            return
+        else:
+            pass
+            # Draw relevant ghosts
+            allGhosts = state.getGhostStates()
+            visibleGhosts = state.getVisibleGhosts()
+            for i, ghost in enumerate(allGhosts):
+                if ghost in visibleGhosts:
+                    self.drawGhost(ghost, i)
+                else:
+                    self.currentGhostImages[i] = None
+
+    def getGhostColor(self, ghost, ghostIndex):
+        return GHOST_COLORS[ghostIndex]
+
+    def getPosition(self, ghostState):
+        if not self.showGhosts and not ghostState.isPacman and ghostState.getPosition()[1] > 1:
+            return (-1000, -1000)
+        else:
+            return PacmanGraphics.getPosition(self, ghostState)
+
+def add(x, y):
+    return (x[0] + y[0], x[1] + y[1])
+
+
+# Saving graphical output
+# -----------------------
+# Note: to make an animated gif from this postscript output, try the command:
+# convert -delay 7 -loop 1 -compress lzw -layers optimize frame* out.gif
+# convert is part of imagemagick (freeware)
+
+SAVE_POSTSCRIPT = False
+POSTSCRIPT_OUTPUT_DIR = 'frames'
+FRAME_NUMBER = 0
+import os
+
+def saveFrame():
+    "Saves the current graphical output as a postscript file"
+    global SAVE_POSTSCRIPT, FRAME_NUMBER, POSTSCRIPT_OUTPUT_DIR
+    if not SAVE_POSTSCRIPT: return
+    if not os.path.exists(POSTSCRIPT_OUTPUT_DIR): os.mkdir(POSTSCRIPT_OUTPUT_DIR)
+    name = os.path.join(POSTSCRIPT_OUTPUT_DIR, 'frame_%08d.ps' % FRAME_NUMBER)
+    FRAME_NUMBER += 1
+    writePostscript(name) # writes the current canvas
diff --git a/cs188-projects-master/P3 Reinforcement Learning/graphicsDisplay.pyc b/cs188-projects-master/P3 Reinforcement Learning/graphicsDisplay.pyc
new file mode 100644
index 0000000..4805397
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/graphicsDisplay.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/graphicsGridworldDisplay.py b/cs188-projects-master/P3 Reinforcement Learning/graphicsGridworldDisplay.py
new file mode 100644
index 0000000..5c784bb
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/graphicsGridworldDisplay.py	
@@ -0,0 +1,348 @@
+# graphicsGridworldDisplay.py
+# ---------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import util
+from graphicsUtils import *
+
+class GraphicsGridworldDisplay:
+
+    def __init__(self, gridworld, size=120, speed=1.0):
+        self.gridworld = gridworld
+        self.size = size
+        self.speed = speed
+
+    def start(self):
+        setup(self.gridworld, size=self.size)
+
+    def pause(self):
+        wait_for_keys()
+
+    def displayValues(self, agent, currentState = None, message = 'Agent Values'):
+        values = util.Counter()
+        policy = {}
+        states = self.gridworld.getStates()
+        for state in states:
+            values[state] = agent.getValue(state)
+            policy[state] = agent.getPolicy(state)
+        drawValues(self.gridworld, values, policy, currentState, message)
+        sleep(0.05 / self.speed)
+
+    def displayNullValues(self, currentState = None, message = ''):
+        values = util.Counter()
+        #policy = {}
+        states = self.gridworld.getStates()
+        for state in states:
+            values[state] = 0.0
+            #policy[state] = agent.getPolicy(state)
+        drawNullValues(self.gridworld, currentState,'')
+        # drawValues(self.gridworld, values, policy, currentState, message)
+        sleep(0.05 / self.speed)
+
+    def displayQValues(self, agent, currentState = None, message = 'Agent Q-Values'):
+        qValues = util.Counter()
+        states = self.gridworld.getStates()
+        for state in states:
+            for action in self.gridworld.getPossibleActions(state):
+                qValues[(state, action)] = agent.getQValue(state, action)
+        drawQValues(self.gridworld, qValues, currentState, message)
+        sleep(0.05 / self.speed)
+
+BACKGROUND_COLOR = formatColor(0,0,0)
+EDGE_COLOR = formatColor(1,1,1)
+OBSTACLE_COLOR = formatColor(0.5,0.5,0.5)
+TEXT_COLOR = formatColor(1,1,1)
+MUTED_TEXT_COLOR = formatColor(0.7,0.7,0.7)
+LOCATION_COLOR = formatColor(0,0,1)
+
+WINDOW_SIZE = -1
+GRID_SIZE = -1
+GRID_HEIGHT = -1
+MARGIN = -1
+
+def setup(gridworld, title = "Gridworld Display", size = 120):
+    global GRID_SIZE, MARGIN, SCREEN_WIDTH, SCREEN_HEIGHT, GRID_HEIGHT
+    grid = gridworld.grid
+    WINDOW_SIZE = size
+    GRID_SIZE = size
+    GRID_HEIGHT = grid.height
+    MARGIN = GRID_SIZE * 0.75
+    screen_width = (grid.width - 1) * GRID_SIZE + MARGIN * 2
+    screen_height = (grid.height - 0.5) * GRID_SIZE + MARGIN * 2
+
+    begin_graphics(screen_width,
+                   screen_height,
+                   BACKGROUND_COLOR, title=title)
+
+def drawNullValues(gridworld, currentState = None, message = ''):
+    grid = gridworld.grid
+    blank()
+    for x in range(grid.width):
+        for y in range(grid.height):
+            state = (x, y)
+            gridType = grid[x][y]
+            isExit = (str(gridType) != gridType)
+            isCurrent = (currentState == state)
+            if gridType == '#':
+                drawSquare(x, y, 0, 0, 0, None, None, True, False, isCurrent)
+            else:
+                drawNullSquare(gridworld.grid, x, y, False, isExit, isCurrent)
+    pos = to_screen(((grid.width - 1.0) / 2.0, - 0.8))
+    text( pos, TEXT_COLOR, message, "Courier", -32, "bold", "c")
+
+
+def drawValues(gridworld, values, policy, currentState = None, message = 'State Values'):
+    grid = gridworld.grid
+    blank()
+    valueList = [values[state] for state in gridworld.getStates()] + [0.0]
+    minValue = min(valueList)
+    maxValue = max(valueList)
+    for x in range(grid.width):
+        for y in range(grid.height):
+            state = (x, y)
+            gridType = grid[x][y]
+            isExit = (str(gridType) != gridType)
+            isCurrent = (currentState == state)
+            if gridType == '#':
+                drawSquare(x, y, 0, 0, 0, None, None, True, False, isCurrent)
+            else:
+                value = values[state]
+                action = None
+                if policy != None and state in policy:
+                    action = policy[state]
+                    actions = gridworld.getPossibleActions(state)
+                if action not in actions and 'exit' in actions:
+                    action = 'exit'
+                valString = '%.2f' % value
+                drawSquare(x, y, value, minValue, maxValue, valString, action, False, isExit, isCurrent)
+    pos = to_screen(((grid.width - 1.0) / 2.0, - 0.8))
+    text( pos, TEXT_COLOR, message, "Courier", -32, "bold", "c")
+
+def drawQValues(gridworld, qValues, currentState = None, message = 'State-Action Q-Values'):
+    grid = gridworld.grid
+    blank()
+    stateCrossActions = [[(state, action) for action in gridworld.getPossibleActions(state)] for state in gridworld.getStates()]
+    qStates = reduce(lambda x,y: x+y, stateCrossActions, [])
+    qValueList = [qValues[(state, action)] for state, action in qStates] + [0.0]
+    minValue = min(qValueList)
+    maxValue = max(qValueList)
+    for x in range(grid.width):
+        for y in range(grid.height):
+            state = (x, y)
+            gridType = grid[x][y]
+            isExit = (str(gridType) != gridType)
+            isCurrent = (currentState == state)
+            actions = gridworld.getPossibleActions(state)
+            if actions == None or len(actions) == 0:
+                actions = [None]
+            bestQ = max([qValues[(state, action)] for action in actions])
+            bestActions = [action for action in actions if qValues[(state, action)] == bestQ]
+
+            q = util.Counter()
+            valStrings = {}
+            for action in actions:
+                v = qValues[(state, action)]
+                q[action] += v
+                valStrings[action] = '%.2f' % v
+            if gridType == '#':
+                drawSquare(x, y, 0, 0, 0, None, None, True, False, isCurrent)
+            elif isExit:
+                action = 'exit'
+                value = q[action]
+                valString = '%.2f' % value
+                drawSquare(x, y, value, minValue, maxValue, valString, action, False, isExit, isCurrent)
+            else:
+                drawSquareQ(x, y, q, minValue, maxValue, valStrings, actions, isCurrent)
+    pos = to_screen(((grid.width - 1.0) / 2.0, - 0.8))
+    text( pos, TEXT_COLOR, message, "Courier", -32, "bold", "c")
+
+
+def blank():
+    clear_screen()
+
+def drawNullSquare(grid,x, y, isObstacle, isTerminal, isCurrent):
+
+    square_color = getColor(0, -1, 1)
+
+    if isObstacle:
+        square_color = OBSTACLE_COLOR
+
+    (screen_x, screen_y) = to_screen((x, y))
+    square( (screen_x, screen_y),
+                   0.5* GRID_SIZE,
+                   color = square_color,
+                   filled = 1,
+                   width = 1)
+
+    square( (screen_x, screen_y),
+                   0.5* GRID_SIZE,
+                   color = EDGE_COLOR,
+                   filled = 0,
+                   width = 3)
+
+    if isTerminal and not isObstacle:
+        square( (screen_x, screen_y),
+                     0.4* GRID_SIZE,
+                     color = EDGE_COLOR,
+                     filled = 0,
+                     width = 2)
+        text( (screen_x, screen_y),
+               TEXT_COLOR,
+               str(grid[x][y]),
+               "Courier", -24, "bold", "c")
+
+
+    text_color = TEXT_COLOR
+
+    if not isObstacle and isCurrent:
+        circle( (screen_x, screen_y), 0.1*GRID_SIZE, LOCATION_COLOR, fillColor=LOCATION_COLOR )
+
+    # if not isObstacle:
+    #   text( (screen_x, screen_y), text_color, valStr, "Courier", 24, "bold", "c")
+
+def drawSquare(x, y, val, min, max, valStr, action, isObstacle, isTerminal, isCurrent):
+
+    square_color = getColor(val, min, max)
+
+    if isObstacle:
+        square_color = OBSTACLE_COLOR
+
+    (screen_x, screen_y) = to_screen((x, y))
+    square( (screen_x, screen_y),
+                   0.5* GRID_SIZE,
+                   color = square_color,
+                   filled = 1,
+                   width = 1)
+    square( (screen_x, screen_y),
+                   0.5* GRID_SIZE,
+                   color = EDGE_COLOR,
+                   filled = 0,
+                   width = 3)
+    if isTerminal and not isObstacle:
+        square( (screen_x, screen_y),
+                     0.4* GRID_SIZE,
+                     color = EDGE_COLOR,
+                     filled = 0,
+                     width = 2)
+
+
+    if action == 'north':
+        polygon( [(screen_x, screen_y - 0.45*GRID_SIZE), (screen_x+0.05*GRID_SIZE, screen_y-0.40*GRID_SIZE), (screen_x-0.05*GRID_SIZE, screen_y-0.40*GRID_SIZE)], EDGE_COLOR, filled = 1, smoothed = False)
+    if action == 'south':
+        polygon( [(screen_x, screen_y + 0.45*GRID_SIZE), (screen_x+0.05*GRID_SIZE, screen_y+0.40*GRID_SIZE), (screen_x-0.05*GRID_SIZE, screen_y+0.40*GRID_SIZE)], EDGE_COLOR, filled = 1, smoothed = False)
+    if action == 'west':
+        polygon( [(screen_x-0.45*GRID_SIZE, screen_y), (screen_x-0.4*GRID_SIZE, screen_y+0.05*GRID_SIZE), (screen_x-0.4*GRID_SIZE, screen_y-0.05*GRID_SIZE)], EDGE_COLOR, filled = 1, smoothed = False)
+    if action == 'east':
+        polygon( [(screen_x+0.45*GRID_SIZE, screen_y), (screen_x+0.4*GRID_SIZE, screen_y+0.05*GRID_SIZE), (screen_x+0.4*GRID_SIZE, screen_y-0.05*GRID_SIZE)], EDGE_COLOR, filled = 1, smoothed = False)
+
+
+    text_color = TEXT_COLOR
+
+    if not isObstacle and isCurrent:
+        circle( (screen_x, screen_y), 0.1*GRID_SIZE, outlineColor=LOCATION_COLOR, fillColor=LOCATION_COLOR )
+
+    if not isObstacle:
+        text( (screen_x, screen_y), text_color, valStr, "Courier", -30, "bold", "c")
+
+
+def drawSquareQ(x, y, qVals, minVal, maxVal, valStrs, bestActions, isCurrent):
+
+    (screen_x, screen_y) = to_screen((x, y))
+
+    center = (screen_x, screen_y)
+    nw = (screen_x-0.5*GRID_SIZE, screen_y-0.5*GRID_SIZE)
+    ne = (screen_x+0.5*GRID_SIZE, screen_y-0.5*GRID_SIZE)
+    se = (screen_x+0.5*GRID_SIZE, screen_y+0.5*GRID_SIZE)
+    sw = (screen_x-0.5*GRID_SIZE, screen_y+0.5*GRID_SIZE)
+    n = (screen_x, screen_y-0.5*GRID_SIZE+5)
+    s = (screen_x, screen_y+0.5*GRID_SIZE-5)
+    w = (screen_x-0.5*GRID_SIZE+5, screen_y)
+    e = (screen_x+0.5*GRID_SIZE-5, screen_y)
+
+    actions = qVals.keys()
+    for action in actions:
+
+        wedge_color = getColor(qVals[action], minVal, maxVal)
+
+        if action == 'north':
+            polygon( (center, nw, ne), wedge_color, filled = 1, smoothed = False)
+            #text(n, text_color, valStr, "Courier", 8, "bold", "n")
+        if action == 'south':
+            polygon( (center, sw, se), wedge_color, filled = 1, smoothed = False)
+            #text(s, text_color, valStr, "Courier", 8, "bold", "s")
+        if action == 'east':
+            polygon( (center, ne, se), wedge_color, filled = 1, smoothed = False)
+            #text(e, text_color, valStr, "Courier", 8, "bold", "e")
+        if action == 'west':
+            polygon( (center, nw, sw), wedge_color, filled = 1, smoothed = False)
+            #text(w, text_color, valStr, "Courier", 8, "bold", "w")
+
+    square( (screen_x, screen_y),
+                   0.5* GRID_SIZE,
+                   color = EDGE_COLOR,
+                   filled = 0,
+                   width = 3)
+    line(ne, sw, color = EDGE_COLOR)
+    line(nw, se, color = EDGE_COLOR)
+
+    if isCurrent:
+        circle( (screen_x, screen_y), 0.1*GRID_SIZE, LOCATION_COLOR, fillColor=LOCATION_COLOR )
+
+    for action in actions:
+        text_color = TEXT_COLOR
+        if qVals[action] < max(qVals.values()): text_color = MUTED_TEXT_COLOR
+        valStr = ""
+        if action in valStrs:
+            valStr = valStrs[action]
+        h = -20
+        if action == 'north':
+            #polygon( (center, nw, ne), wedge_color, filled = 1, smooth = 0)
+            text(n, text_color, valStr, "Courier", h, "bold", "n")
+        if action == 'south':
+            #polygon( (center, sw, se), wedge_color, filled = 1, smooth = 0)
+            text(s, text_color, valStr, "Courier", h, "bold", "s")
+        if action == 'east':
+            #polygon( (center, ne, se), wedge_color, filled = 1, smooth = 0)
+            text(e, text_color, valStr, "Courier", h, "bold", "e")
+        if action == 'west':
+            #polygon( (center, nw, sw), wedge_color, filled = 1, smooth = 0)
+            text(w, text_color, valStr, "Courier", h, "bold", "w")
+
+
+def getColor(val, minVal, max):
+    r, g = 0.0, 0.0
+    if val < 0 and minVal < 0:
+        r = val * 0.65 / minVal
+    if val > 0 and max > 0:
+        g = val * 0.65 / max
+    return formatColor(r,g,0.0)
+
+
+def square(pos, size, color, filled, width):
+    x, y = pos
+    dx, dy = size, size
+    return polygon([(x - dx, y - dy), (x - dx, y + dy), (x + dx, y + dy), (x + dx, y - dy)], outlineColor=color, fillColor=color, filled=filled, width=width, smoothed=False)
+
+
+def to_screen(point):
+    ( gamex, gamey ) = point
+    x = gamex*GRID_SIZE + MARGIN
+    y = (GRID_HEIGHT - gamey - 1)*GRID_SIZE + MARGIN
+    return ( x, y )
+
+def to_grid(point):
+    (x, y) = point
+    x = int ((y - MARGIN + GRID_SIZE * 0.5) / GRID_SIZE)
+    y = int ((x - MARGIN + GRID_SIZE * 0.5) / GRID_SIZE)
+    print point, "-->", (x, y)
+    return (x, y)
diff --git a/cs188-projects-master/P3 Reinforcement Learning/graphicsGridworldDisplay.pyc b/cs188-projects-master/P3 Reinforcement Learning/graphicsGridworldDisplay.pyc
new file mode 100644
index 0000000..7a00666
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/graphicsGridworldDisplay.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/graphicsUtils.py b/cs188-projects-master/P3 Reinforcement Learning/graphicsUtils.py
new file mode 100644
index 0000000..b80d3d2
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/graphicsUtils.py	
@@ -0,0 +1,402 @@
+# graphicsUtils.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import math
+import random
+import string
+import time
+import types
+import Tkinter
+import os.path
+
+_Windows = sys.platform == 'win32'  # True if on Win95/98/NT
+
+_root_window = None      # The root window for graphics output
+_canvas = None      # The canvas which holds graphics
+_canvas_xs = None      # Size of canvas object
+_canvas_ys = None
+_canvas_x = None      # Current position on canvas
+_canvas_y = None
+_canvas_col = None      # Current colour (set to black below)
+_canvas_tsize = 12
+_canvas_tserifs = 0
+
+def formatColor(r, g, b):
+    return '#%02x%02x%02x' % (int(r * 255), int(g * 255), int(b * 255))
+
+def colorToVector(color):
+    return map(lambda x: int(x, 16) / 256.0, [color[1:3], color[3:5], color[5:7]])
+
+if _Windows:
+    _canvas_tfonts = ['times new roman', 'lucida console']
+else:
+    _canvas_tfonts = ['times', 'lucidasans-24']
+    pass # XXX need defaults here
+
+def sleep(secs):
+    global _root_window
+    if _root_window == None:
+        time.sleep(secs)
+    else:
+        _root_window.update_idletasks()
+        _root_window.after(int(1000 * secs), _root_window.quit)
+        _root_window.mainloop()
+
+def begin_graphics(width=640, height=480, color=formatColor(0, 0, 0), title=None):
+
+    global _root_window, _canvas, _canvas_x, _canvas_y, _canvas_xs, _canvas_ys, _bg_color
+
+    # Check for duplicate call
+    if _root_window is not None:
+        # Lose the window.
+        _root_window.destroy()
+
+    # Save the canvas size parameters
+    _canvas_xs, _canvas_ys = width - 1, height - 1
+    _canvas_x, _canvas_y = 0, _canvas_ys
+    _bg_color = color
+
+    # Create the root window
+    _root_window = Tkinter.Tk()
+    _root_window.protocol('WM_DELETE_WINDOW', _destroy_window)
+    _root_window.title(title or 'Graphics Window')
+    _root_window.resizable(0, 0)
+
+    # Create the canvas object
+    try:
+        _canvas = Tkinter.Canvas(_root_window, width=width, height=height)
+        _canvas.pack()
+        draw_background()
+        _canvas.update()
+    except:
+        _root_window = None
+        raise
+
+    # Bind to key-down and key-up events
+    _root_window.bind( "", _keypress )
+    _root_window.bind( "", _keyrelease )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _leftclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _ctrl_leftclick)
+    _clear_keys()
+
+_leftclick_loc = None
+_rightclick_loc = None
+_ctrl_leftclick_loc = None
+
+def _leftclick(event):
+    global _leftclick_loc
+    _leftclick_loc = (event.x, event.y)
+
+def _rightclick(event):
+    global _rightclick_loc
+    _rightclick_loc = (event.x, event.y)
+
+def _ctrl_leftclick(event):
+    global _ctrl_leftclick_loc
+    _ctrl_leftclick_loc = (event.x, event.y)
+
+def wait_for_click():
+    while True:
+        global _leftclick_loc
+        global _rightclick_loc
+        global _ctrl_leftclick_loc
+        if _leftclick_loc != None:
+            val = _leftclick_loc
+            _leftclick_loc = None
+            return val, 'left'
+        if _rightclick_loc != None:
+            val = _rightclick_loc
+            _rightclick_loc = None
+            return val, 'right'
+        if _ctrl_leftclick_loc != None:
+            val = _ctrl_leftclick_loc
+            _ctrl_leftclick_loc = None
+            return val, 'ctrl_left'
+        sleep(0.05)
+
+def draw_background():
+    corners = [(0,0), (0, _canvas_ys), (_canvas_xs, _canvas_ys), (_canvas_xs, 0)]
+    polygon(corners, _bg_color, fillColor=_bg_color, filled=True, smoothed=False)
+
+def _destroy_window(event=None):
+    sys.exit(0)
+#    global _root_window
+#    _root_window.destroy()
+#    _root_window = None
+    #print "DESTROY"
+
+def end_graphics():
+    global _root_window, _canvas, _mouse_enabled
+    try:
+        try:
+            sleep(1)
+            if _root_window != None:
+                _root_window.destroy()
+        except SystemExit, e:
+            print 'Ending graphics raised an exception:', e
+    finally:
+        _root_window = None
+        _canvas = None
+        _mouse_enabled = 0
+        _clear_keys()
+
+def clear_screen(background=None):
+    global _canvas_x, _canvas_y
+    _canvas.delete('all')
+    draw_background()
+    _canvas_x, _canvas_y = 0, _canvas_ys
+
+def polygon(coords, outlineColor, fillColor=None, filled=1, smoothed=1, behind=0, width=1):
+    c = []
+    for coord in coords:
+        c.append(coord[0])
+        c.append(coord[1])
+    if fillColor == None: fillColor = outlineColor
+    if filled == 0: fillColor = ""
+    poly = _canvas.create_polygon(c, outline=outlineColor, fill=fillColor, smooth=smoothed, width=width)
+    if behind > 0:
+        _canvas.tag_lower(poly, behind) # Higher should be more visible
+    return poly
+
+def square(pos, r, color, filled=1, behind=0):
+    x, y = pos
+    coords = [(x - r, y - r), (x + r, y - r), (x + r, y + r), (x - r, y + r)]
+    return polygon(coords, color, color, filled, 0, behind=behind)
+
+def circle(pos, r, outlineColor, fillColor, endpoints=None, style='pieslice', width=2):
+    x, y = pos
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    return _canvas.create_arc(x0, y0, x1, y1, outline=outlineColor, fill=fillColor,
+                              extent=e[1] - e[0], start=e[0], style=style, width=width)
+
+def image(pos, file="../../blueghost.gif"):
+    x, y = pos
+    # img = PhotoImage(file=file)
+    return _canvas.create_image(x, y, image = Tkinter.PhotoImage(file=file), anchor = Tkinter.NW)
+
+
+def refresh():
+    _canvas.update_idletasks()
+
+def moveCircle(id, pos, r, endpoints=None):
+    global _canvas_x, _canvas_y
+
+    x, y = pos
+#    x0, x1 = x - r, x + r + 1
+#    y0, y1 = y - r, y + r + 1
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    if os.path.isfile('flag'):
+        edit(id, ('extent', e[1] - e[0]))
+    else:
+        edit(id, ('start', e[0]), ('extent', e[1] - e[0]))
+    move_to(id, x0, y0)
+
+def edit(id, *args):
+    _canvas.itemconfigure(id, **dict(args))
+
+def text(pos, color, contents, font='Helvetica', size=12, style='normal', anchor="nw"):
+    global _canvas_x, _canvas_y
+    x, y = pos
+    font = (font, str(size), style)
+    return _canvas.create_text(x, y, fill=color, text=contents, font=font, anchor=anchor)
+
+def changeText(id, newText, font=None, size=12, style='normal'):
+    _canvas.itemconfigure(id, text=newText)
+    if font != None:
+        _canvas.itemconfigure(id, font=(font, '-%d' % size, style))
+
+def changeColor(id, newColor):
+    _canvas.itemconfigure(id, fill=newColor)
+
+def line(here, there, color=formatColor(0, 0, 0), width=2):
+    x0, y0 = here[0], here[1]
+    x1, y1 = there[0], there[1]
+    return _canvas.create_line(x0, y0, x1, y1, fill=color, width=width)
+
+##############################################################################
+### Keypress handling ########################################################
+##############################################################################
+
+# We bind to key-down and key-up events.
+
+_keysdown = {}
+_keyswaiting = {}
+# This holds an unprocessed key release.  We delay key releases by up to
+# one call to keys_pressed() to get round a problem with auto repeat.
+_got_release = None
+
+def _keypress(event):
+    global _got_release
+    #remap_arrows(event)
+    _keysdown[event.keysym] = 1
+    _keyswaiting[event.keysym] = 1
+#    print event.char, event.keycode
+    _got_release = None
+
+def _keyrelease(event):
+    global _got_release
+    #remap_arrows(event)
+    try:
+        del _keysdown[event.keysym]
+    except:
+        pass
+    _got_release = 1
+
+def remap_arrows(event):
+    # TURN ARROW PRESSES INTO LETTERS (SHOULD BE IN KEYBOARD AGENT)
+    if event.char in ['a', 's', 'd', 'w']:
+        return
+    if event.keycode in [37, 101]: # LEFT ARROW (win / x)
+        event.char = 'a'
+    if event.keycode in [38, 99]: # UP ARROW
+        event.char = 'w'
+    if event.keycode in [39, 102]: # RIGHT ARROW
+        event.char = 'd'
+    if event.keycode in [40, 104]: # DOWN ARROW
+        event.char = 's'
+
+def _clear_keys(event=None):
+    global _keysdown, _got_release, _keyswaiting
+    _keysdown = {}
+    _keyswaiting = {}
+    _got_release = None
+
+def keys_pressed(d_o_e=Tkinter.tkinter.dooneevent,
+                 d_w=Tkinter.tkinter.DONT_WAIT):
+    d_o_e(d_w)
+    if _got_release:
+        d_o_e(d_w)
+    return _keysdown.keys()
+
+def keys_waiting():
+    global _keyswaiting
+    keys = _keyswaiting.keys()
+    _keyswaiting = {}
+    return keys
+
+# Block for a list of keys...
+
+def wait_for_keys():
+    keys = []
+    while keys == []:
+        keys = keys_pressed()
+        sleep(0.05)
+    return keys
+
+def remove_from_screen(x,
+                       d_o_e=Tkinter.tkinter.dooneevent,
+                       d_w=Tkinter.tkinter.DONT_WAIT):
+    _canvas.delete(x)
+    d_o_e(d_w)
+
+def _adjust_coords(coord_list, x, y):
+    for i in range(0, len(coord_list), 2):
+        coord_list[i] = coord_list[i] + x
+        coord_list[i + 1] = coord_list[i + 1] + y
+    return coord_list
+
+def move_to(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT):
+    if y is None:
+        try: x, y = x
+        except: raise  'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    current_x, current_y = _canvas.coords(object)[0:2] # first point
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x - current_x
+        else:
+            inc = y - current_y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+
+def move_by(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT, lift=False):
+    if y is None:
+        try: x, y = x
+        except: raise Exception, 'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x
+        else:
+            inc = y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+    if lift:
+        _canvas.tag_raise(object)
+
+def writePostscript(filename):
+    "Writes the current canvas to a postscript file."
+    psfile = file(filename, 'w')
+    psfile.write(_canvas.postscript(pageanchor='sw',
+                     y='0.c',
+                     x='0.c'))
+    psfile.close()
+
+ghost_shape = [
+    (0, - 0.5),
+    (0.25, - 0.75),
+    (0.5, - 0.5),
+    (0.75, - 0.75),
+    (0.75, 0.5),
+    (0.5, 0.75),
+    (- 0.5, 0.75),
+    (- 0.75, 0.5),
+    (- 0.75, - 0.75),
+    (- 0.5, - 0.5),
+    (- 0.25, - 0.75)
+  ]
+
+if __name__ == '__main__':
+    begin_graphics()
+    clear_screen()
+    ghost_shape = [(x * 10 + 20, y * 10 + 20) for x, y in ghost_shape]
+    g = polygon(ghost_shape, formatColor(1, 1, 1))
+    move_to(g, (50, 50))
+    circle((150, 150), 20, formatColor(0.7, 0.3, 0.0), endpoints=[15, - 15])
+    sleep(2)
diff --git a/cs188-projects-master/P3 Reinforcement Learning/graphicsUtils.pyc b/cs188-projects-master/P3 Reinforcement Learning/graphicsUtils.pyc
new file mode 100644
index 0000000..52b8db8
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/graphicsUtils.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/gridworld.py b/cs188-projects-master/P3 Reinforcement Learning/gridworld.py
new file mode 100644
index 0000000..ebb787d
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/gridworld.py	
@@ -0,0 +1,589 @@
+# gridworld.py
+# ------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import random
+import sys
+import mdp
+import environment
+import util
+import optparse
+
+class Gridworld(mdp.MarkovDecisionProcess):
+    """
+      Gridworld
+    """
+    def __init__(self, grid):
+        # layout
+        if type(grid) == type([]): grid = makeGrid(grid)
+        self.grid = grid
+
+        # parameters
+        self.livingReward = 0.0
+        self.noise = 0.2
+
+    def setLivingReward(self, reward):
+        """
+        The (negative) reward for exiting "normal" states.
+
+        Note that in the R+N text, this reward is on entering
+        a state and therefore is not clearly part of the state's
+        future rewards.
+        """
+        self.livingReward = reward
+
+    def setNoise(self, noise):
+        """
+        The probability of moving in an unintended direction.
+        """
+        self.noise = noise
+
+
+    def getPossibleActions(self, state):
+        """
+        Returns list of valid actions for 'state'.
+
+        Note that you can request moves into walls and
+        that "exit" states transition to the terminal
+        state under the special action "done".
+        """
+        if state == self.grid.terminalState:
+            return ()
+        x,y = state
+        if type(self.grid[x][y]) == int:
+            return ('exit',)
+        return ('north','west','south','east')
+
+    def getStates(self):
+        """
+        Return list of all states.
+        """
+        # The true terminal state.
+        states = [self.grid.terminalState]
+        for x in range(self.grid.width):
+            for y in range(self.grid.height):
+                if self.grid[x][y] != '#':
+                    state = (x,y)
+                    states.append(state)
+        return states
+
+    def getReward(self, state, action, nextState):
+        """
+        Get reward for state, action, nextState transition.
+
+        Note that the reward depends only on the state being
+        departed (as in the R+N book examples, which more or
+        less use this convention).
+        """
+        if state == self.grid.terminalState:
+            return 0.0
+        x, y = state
+        cell = self.grid[x][y]
+        if type(cell) == int or type(cell) == float:
+            return cell
+        return self.livingReward
+
+    def getStartState(self):
+        for x in range(self.grid.width):
+            for y in range(self.grid.height):
+                if self.grid[x][y] == 'S':
+                    return (x, y)
+        raise 'Grid has no start state'
+
+    def isTerminal(self, state):
+        """
+        Only the TERMINAL_STATE state is *actually* a terminal state.
+        The other "exit" states are technically non-terminals with
+        a single action "exit" which leads to the true terminal state.
+        This convention is to make the grids line up with the examples
+        in the R+N textbook.
+        """
+        return state == self.grid.terminalState
+
+
+    def getTransitionStatesAndProbs(self, state, action):
+        """
+        Returns list of (nextState, prob) pairs
+        representing the states reachable
+        from 'state' by taking 'action' along
+        with their transition probabilities.
+        """
+
+        if action not in self.getPossibleActions(state):
+            raise "Illegal action!"
+
+        if self.isTerminal(state):
+            return []
+
+        x, y = state
+
+        if type(self.grid[x][y]) == int or type(self.grid[x][y]) == float:
+            termState = self.grid.terminalState
+            return [(termState, 1.0)]
+
+        successors = []
+
+        northState = (self.__isAllowed(y+1,x) and (x,y+1)) or state
+        westState = (self.__isAllowed(y,x-1) and (x-1,y)) or state
+        southState = (self.__isAllowed(y-1,x) and (x,y-1)) or state
+        eastState = (self.__isAllowed(y,x+1) and (x+1,y)) or state
+
+        if action == 'north' or action == 'south':
+            if action == 'north':
+                successors.append((northState,1-self.noise))
+            else:
+                successors.append((southState,1-self.noise))
+
+            massLeft = self.noise
+            successors.append((westState,massLeft/2.0))
+            successors.append((eastState,massLeft/2.0))
+
+        if action == 'west' or action == 'east':
+            if action == 'west':
+                successors.append((westState,1-self.noise))
+            else:
+                successors.append((eastState,1-self.noise))
+
+            massLeft = self.noise
+            successors.append((northState,massLeft/2.0))
+            successors.append((southState,massLeft/2.0))
+
+        successors = self.__aggregate(successors)
+
+        return successors
+
+    def __aggregate(self, statesAndProbs):
+        counter = util.Counter()
+        for state, prob in statesAndProbs:
+            counter[state] += prob
+        newStatesAndProbs = []
+        for state, prob in counter.items():
+            newStatesAndProbs.append((state, prob))
+        return newStatesAndProbs
+
+    def __isAllowed(self, y, x):
+        if y < 0 or y >= self.grid.height: return False
+        if x < 0 or x >= self.grid.width: return False
+        return self.grid[x][y] != '#'
+
+class GridworldEnvironment(environment.Environment):
+
+    def __init__(self, gridWorld):
+        self.gridWorld = gridWorld
+        self.reset()
+
+    def getCurrentState(self):
+        return self.state
+
+    def getPossibleActions(self, state):
+        return self.gridWorld.getPossibleActions(state)
+
+    def doAction(self, action):
+        state = self.getCurrentState()
+        (nextState, reward) = self.getRandomNextState(state, action)
+        self.state = nextState
+        return (nextState, reward)
+
+    def getRandomNextState(self, state, action, randObj=None):
+        rand = -1.0
+        if randObj is None:
+            rand = random.random()
+        else:
+            rand = randObj.random()
+        sum = 0.0
+        successors = self.gridWorld.getTransitionStatesAndProbs(state, action)
+        for nextState, prob in successors:
+            sum += prob
+            if sum > 1.0:
+                raise 'Total transition probability more than one; sample failure.'
+            if rand < sum:
+                reward = self.gridWorld.getReward(state, action, nextState)
+                return (nextState, reward)
+        raise 'Total transition probability less than one; sample failure.'
+
+    def reset(self):
+        self.state = self.gridWorld.getStartState()
+
+class Grid:
+    """
+    A 2-dimensional array of immutables backed by a list of lists.  Data is accessed
+    via grid[x][y] where (x,y) are cartesian coordinates with x horizontal,
+    y vertical and the origin (0,0) in the bottom left corner.
+
+    The __str__ method constructs an output that is oriented appropriately.
+    """
+    def __init__(self, width, height, initialValue=' '):
+        self.width = width
+        self.height = height
+        self.data = [[initialValue for y in range(height)] for x in range(width)]
+        self.terminalState = 'TERMINAL_STATE'
+
+    def __getitem__(self, i):
+        return self.data[i]
+
+    def __setitem__(self, key, item):
+        self.data[key] = item
+
+    def __eq__(self, other):
+        if other == None: return False
+        return self.data == other.data
+
+    def __hash__(self):
+        return hash(self.data)
+
+    def copy(self):
+        g = Grid(self.width, self.height)
+        g.data = [x[:] for x in self.data]
+        return g
+
+    def deepCopy(self):
+        return self.copy()
+
+    def shallowCopy(self):
+        g = Grid(self.width, self.height)
+        g.data = self.data
+        return g
+
+    def _getLegacyText(self):
+        t = [[self.data[x][y] for x in range(self.width)] for y in range(self.height)]
+        t.reverse()
+        return t
+
+    def __str__(self):
+        return str(self._getLegacyText())
+
+def makeGrid(gridString):
+    width, height = len(gridString[0]), len(gridString)
+    grid = Grid(width, height)
+    for ybar, line in enumerate(gridString):
+        y = height - ybar - 1
+        for x, el in enumerate(line):
+            grid[x][y] = el
+    return grid
+
+def getCliffGrid():
+    grid = [[' ',' ',' ',' ',' '],
+            ['S',' ',' ',' ',10],
+            [-100,-100, -100, -100, -100]]
+    return Gridworld(makeGrid(grid))
+
+def getCliffGrid2():
+    grid = [[' ',' ',' ',' ',' '],
+            [8,'S',' ',' ',10],
+            [-100,-100, -100, -100, -100]]
+    return Gridworld(grid)
+
+def getDiscountGrid():
+    grid = [[' ',' ',' ',' ',' '],
+            [' ','#',' ',' ',' '],
+            [' ','#', 1,'#', 10],
+            ['S',' ',' ',' ',' '],
+            [-10,-10, -10, -10, -10]]
+    return Gridworld(grid)
+
+def getBridgeGrid():
+    grid = [[ '#',-100, -100, -100, -100, -100, '#'],
+            [   1, 'S',  ' ',  ' ',  ' ',  ' ',  10],
+            [ '#',-100, -100, -100, -100, -100, '#']]
+    return Gridworld(grid)
+
+def getBookGrid():
+    grid = [[' ',' ',' ',+1],
+            [' ','#',' ',-1],
+            ['S',' ',' ',' ']]
+    return Gridworld(grid)
+
+def getMazeGrid():
+    grid = [[' ',' ',' ',+1],
+            ['#','#',' ','#'],
+            [' ','#',' ',' '],
+            [' ','#','#',' '],
+            ['S',' ',' ',' ']]
+    return Gridworld(grid)
+
+
+
+def getUserAction(state, actionFunction):
+    """
+    Get an action from the user (rather than the agent).
+
+    Used for debugging and lecture demos.
+    """
+    import graphicsUtils
+    action = None
+    while True:
+        keys = graphicsUtils.wait_for_keys()
+        if 'Up' in keys: action = 'north'
+        if 'Down' in keys: action = 'south'
+        if 'Left' in keys: action = 'west'
+        if 'Right' in keys: action = 'east'
+        if 'q' in keys: sys.exit(0)
+        if action == None: continue
+        break
+    actions = actionFunction(state)
+    if action not in actions:
+        action = actions[0]
+    return action
+
+def printString(x): print x
+
+def runEpisode(agent, environment, discount, decision, display, message, pause, episode):
+    returns = 0
+    totalDiscount = 1.0
+    environment.reset()
+    if 'startEpisode' in dir(agent): agent.startEpisode()
+    message("BEGINNING EPISODE: "+str(episode)+"\n")
+    while True:
+
+        # DISPLAY CURRENT STATE
+        state = environment.getCurrentState()
+        display(state)
+        pause()
+
+        # END IF IN A TERMINAL STATE
+        actions = environment.getPossibleActions(state)
+        if len(actions) == 0:
+            message("EPISODE "+str(episode)+" COMPLETE: RETURN WAS "+str(returns)+"\n")
+            return returns
+
+        # GET ACTION (USUALLY FROM AGENT)
+        action = decision(state)
+        if action == None:
+            raise 'Error: Agent returned None action'
+
+        # EXECUTE ACTION
+        nextState, reward = environment.doAction(action)
+        message("Started in state: "+str(state)+
+                "\nTook action: "+str(action)+
+                "\nEnded in state: "+str(nextState)+
+                "\nGot reward: "+str(reward)+"\n")
+        # UPDATE LEARNER
+        if 'observeTransition' in dir(agent):
+            agent.observeTransition(state, action, nextState, reward)
+
+        returns += reward * totalDiscount
+        totalDiscount *= discount
+
+    if 'stopEpisode' in dir(agent):
+        agent.stopEpisode()
+
+def parseOptions():
+    optParser = optparse.OptionParser()
+    optParser.add_option('-d', '--discount',action='store',
+                         type='float',dest='discount',default=0.9,
+                         help='Discount on future (default %default)')
+    optParser.add_option('-r', '--livingReward',action='store',
+                         type='float',dest='livingReward',default=0.0,
+                         metavar="R", help='Reward for living for a time step (default %default)')
+    optParser.add_option('-n', '--noise',action='store',
+                         type='float',dest='noise',default=0.2,
+                         metavar="P", help='How often action results in ' +
+                         'unintended direction (default %default)' )
+    optParser.add_option('-e', '--epsilon',action='store',
+                         type='float',dest='epsilon',default=0.3,
+                         metavar="E", help='Chance of taking a random action in q-learning (default %default)')
+    optParser.add_option('-l', '--learningRate',action='store',
+                         type='float',dest='learningRate',default=0.5,
+                         metavar="P", help='TD learning rate (default %default)' )
+    optParser.add_option('-i', '--iterations',action='store',
+                         type='int',dest='iters',default=10,
+                         metavar="K", help='Number of rounds of value iteration (default %default)')
+    optParser.add_option('-k', '--episodes',action='store',
+                         type='int',dest='episodes',default=1,
+                         metavar="K", help='Number of epsiodes of the MDP to run (default %default)')
+    optParser.add_option('-g', '--grid',action='store',
+                         metavar="G", type='string',dest='grid',default="BookGrid",
+                         help='Grid to use (case sensitive; options are BookGrid, BridgeGrid, CliffGrid, MazeGrid, default %default)' )
+    optParser.add_option('-w', '--windowSize', metavar="X", type='int',dest='gridSize',default=150,
+                         help='Request a window width of X pixels *per grid cell* (default %default)')
+    optParser.add_option('-a', '--agent',action='store', metavar="A",
+                         type='string',dest='agent',default="random",
+                         help='Agent type (options are \'random\', \'value\' and \'q\', default %default)')
+    optParser.add_option('-t', '--text',action='store_true',
+                         dest='textDisplay',default=False,
+                         help='Use text-only ASCII display')
+    optParser.add_option('-p', '--pause',action='store_true',
+                         dest='pause',default=False,
+                         help='Pause GUI after each time step when running the MDP')
+    optParser.add_option('-q', '--quiet',action='store_true',
+                         dest='quiet',default=False,
+                         help='Skip display of any learning episodes')
+    optParser.add_option('-s', '--speed',action='store', metavar="S", type=float,
+                         dest='speed',default=1.0,
+                         help='Speed of animation, S > 1.0 is faster, 0.0 < S < 1.0 is slower (default %default)')
+    optParser.add_option('-m', '--manual',action='store_true',
+                         dest='manual',default=False,
+                         help='Manually control agent')
+    optParser.add_option('-v', '--valueSteps',action='store_true' ,default=False,
+                         help='Display each step of value iteration')
+
+    opts, args = optParser.parse_args()
+
+    if opts.manual and opts.agent != 'q':
+        print '## Disabling Agents in Manual Mode (-m) ##'
+        opts.agent = None
+
+    # MANAGE CONFLICTS
+    if opts.textDisplay or opts.quiet:
+    # if opts.quiet:
+        opts.pause = False
+        # opts.manual = False
+
+    if opts.manual:
+        opts.pause = True
+
+    return opts
+
+
+if __name__ == '__main__':
+
+    opts = parseOptions()
+
+    ###########################
+    # GET THE GRIDWORLD
+    ###########################
+
+    import gridworld
+    mdpFunction = getattr(gridworld, "get"+opts.grid)
+    mdp = mdpFunction()
+    mdp.setLivingReward(opts.livingReward)
+    mdp.setNoise(opts.noise)
+    env = gridworld.GridworldEnvironment(mdp)
+
+
+    ###########################
+    # GET THE DISPLAY ADAPTER
+    ###########################
+
+    import textGridworldDisplay
+    display = textGridworldDisplay.TextGridworldDisplay(mdp)
+    if not opts.textDisplay:
+        import graphicsGridworldDisplay
+        display = graphicsGridworldDisplay.GraphicsGridworldDisplay(mdp, opts.gridSize, opts.speed)
+    try:
+        display.start()
+    except KeyboardInterrupt:
+        sys.exit(0)
+
+    ###########################
+    # GET THE AGENT
+    ###########################
+
+    import valueIterationAgents, qlearningAgents
+    a = None
+    if opts.agent == 'value':
+        a = valueIterationAgents.ValueIterationAgent(mdp, opts.discount, opts.iters)
+    elif opts.agent == 'q':
+        #env.getPossibleActions, opts.discount, opts.learningRate, opts.epsilon
+        #simulationFn = lambda agent, state: simulation.GridworldSimulation(agent,state,mdp)
+        gridWorldEnv = GridworldEnvironment(mdp)
+        actionFn = lambda state: mdp.getPossibleActions(state)
+        qLearnOpts = {'gamma': opts.discount,
+                      'alpha': opts.learningRate,
+                      'epsilon': opts.epsilon,
+                      'actionFn': actionFn}
+        a = qlearningAgents.QLearningAgent(**qLearnOpts)
+    elif opts.agent == 'random':
+        # # No reason to use the random agent without episodes
+        if opts.episodes == 0:
+            opts.episodes = 10
+        class RandomAgent:
+            def getAction(self, state):
+                return random.choice(mdp.getPossibleActions(state))
+            def getValue(self, state):
+                return 0.0
+            def getQValue(self, state, action):
+                return 0.0
+            def getPolicy(self, state):
+                "NOTE: 'random' is a special policy value; don't use it in your code."
+                return 'random'
+            def update(self, state, action, nextState, reward):
+                pass
+        a = RandomAgent()
+    elif opts.agent == 'asynchvalue':
+        a = valueIterationAgents.AsynchronousValueIterationAgent(mdp, opts.discount, opts.iters)
+    elif opts.agent == 'priosweepvalue':
+        a = valueIterationAgents.PrioritizedSweepingValueIterationAgent(mdp, opts.discount, opts.iters)
+    else:
+        if not opts.manual: raise Exception('Unknown agent type: '+opts.agent)
+
+
+    ###########################
+    # RUN EPISODES
+    ###########################
+    # DISPLAY Q/V VALUES BEFORE SIMULATION OF EPISODES
+    try:
+        if not opts.manual and opts.agent in ('value', 'asynchvalue', 'priosweepvalue'):
+            if opts.valueSteps:
+                for i in range(opts.iters):
+                    tempAgent = valueIterationAgents.ValueIterationAgent(mdp, opts.discount, i)
+                    display.displayValues(tempAgent, message = "VALUES AFTER "+str(i)+" ITERATIONS")
+                    display.pause()
+
+            display.displayValues(a, message = "VALUES AFTER "+str(opts.iters)+" ITERATIONS")
+            display.pause()
+            display.displayQValues(a, message = "Q-VALUES AFTER "+str(opts.iters)+" ITERATIONS")
+            display.pause()
+    except KeyboardInterrupt:
+        sys.exit(0)
+
+
+
+    # FIGURE OUT WHAT TO DISPLAY EACH TIME STEP (IF ANYTHING)
+    displayCallback = lambda x: None
+    if not opts.quiet:
+        if opts.manual and opts.agent == None:
+            displayCallback = lambda state: display.displayNullValues(state)
+        else:
+            if opts.agent in ('random', 'value', 'asynchvalue', 'priosweepvalue'):
+                displayCallback = lambda state: display.displayValues(a, state, "CURRENT VALUES")
+            if opts.agent == 'q': displayCallback = lambda state: display.displayQValues(a, state, "CURRENT Q-VALUES")
+
+    messageCallback = lambda x: printString(x)
+    if opts.quiet:
+        messageCallback = lambda x: None
+
+    # FIGURE OUT WHETHER TO WAIT FOR A KEY PRESS AFTER EACH TIME STEP
+    pauseCallback = lambda : None
+    if opts.pause:
+        pauseCallback = lambda : display.pause()
+
+    # FIGURE OUT WHETHER THE USER WANTS MANUAL CONTROL (FOR DEBUGGING AND DEMOS)
+    if opts.manual:
+        decisionCallback = lambda state : getUserAction(state, mdp.getPossibleActions)
+    else:
+        decisionCallback = a.getAction
+
+    # RUN EPISODES
+    if opts.episodes > 0:
+        print
+        print "RUNNING", opts.episodes, "EPISODES"
+        print
+    returns = 0
+    for episode in range(1, opts.episodes+1):
+        returns += runEpisode(a, env, opts.discount, decisionCallback, displayCallback, messageCallback, pauseCallback, episode)
+    if opts.episodes > 0:
+        print
+        print "AVERAGE RETURNS FROM START STATE: "+str((returns+0.0) / opts.episodes)
+        print
+        print
+
+    # DISPLAY POST-LEARNING VALUES / Q-VALUES
+    if opts.agent == 'q' and not opts.manual:
+        try:
+            display.displayQValues(a, message = "Q-VALUES AFTER "+str(opts.episodes)+" EPISODES")
+            display.pause()
+            display.displayValues(a, message = "VALUES AFTER "+str(opts.episodes)+" EPISODES")
+            display.pause()
+        except KeyboardInterrupt:
+            sys.exit(0)
diff --git a/cs188-projects-master/P3 Reinforcement Learning/gridworld.pyc b/cs188-projects-master/P3 Reinforcement Learning/gridworld.pyc
new file mode 100644
index 0000000..ebf7e98
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/gridworld.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/keyboardAgents.py b/cs188-projects-master/P3 Reinforcement Learning/keyboardAgents.py
new file mode 100644
index 0000000..c7d9fcf
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/keyboardAgents.py	
@@ -0,0 +1,84 @@
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+import random
+
+class KeyboardAgent(Agent):
+    """
+    An agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'a'
+    EAST_KEY  = 'd'
+    NORTH_KEY = 'w'
+    SOUTH_KEY = 's'
+    STOP_KEY = 'q'
+
+    def __init__( self, index = 0 ):
+
+        self.lastMove = Directions.STOP
+        self.index = index
+        self.keys = []
+
+    def getAction( self, state):
+        from graphicsUtils import keys_waiting
+        from graphicsUtils import keys_pressed
+        keys = keys_waiting() + keys_pressed()
+        if keys != []:
+            self.keys = keys
+
+        legal = state.getLegalActions(self.index)
+        move = self.getMove(legal)
+
+        if move == Directions.STOP:
+            # Try to move in the same direction as before
+            if self.lastMove in legal:
+                move = self.lastMove
+
+        if (self.STOP_KEY in self.keys) and Directions.STOP in legal: move = Directions.STOP
+
+        if move not in legal:
+            move = random.choice(legal)
+
+        self.lastMove = move
+        return move
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys or 'Left' in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys or 'Right' in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys or 'Up' in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys or 'Down' in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
+
+class KeyboardAgent2(KeyboardAgent):
+    """
+    A second agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'j'
+    EAST_KEY  = "l"
+    NORTH_KEY = 'i'
+    SOUTH_KEY = 'k'
+    STOP_KEY = 'u'
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
diff --git a/cs188-projects-master/P3 Reinforcement Learning/keyboardAgents.pyc b/cs188-projects-master/P3 Reinforcement Learning/keyboardAgents.pyc
new file mode 100644
index 0000000..4f9b8f6
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/keyboardAgents.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layout.py b/cs188-projects-master/P3 Reinforcement Learning/layout.py
new file mode 100644
index 0000000..c6b377d
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layout.py	
@@ -0,0 +1,149 @@
+# layout.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Grid
+import os
+import random
+
+VISIBILITY_MATRIX_CACHE = {}
+
+class Layout:
+    """
+    A Layout manages the static information about the game board.
+    """
+
+    def __init__(self, layoutText):
+        self.width = len(layoutText[0])
+        self.height= len(layoutText)
+        self.walls = Grid(self.width, self.height, False)
+        self.food = Grid(self.width, self.height, False)
+        self.capsules = []
+        self.agentPositions = []
+        self.numGhosts = 0
+        self.processLayoutText(layoutText)
+        self.layoutText = layoutText
+        self.totalFood = len(self.food.asList())
+        # self.initializeVisibilityMatrix()
+
+    def getNumGhosts(self):
+        return self.numGhosts
+
+    def initializeVisibilityMatrix(self):
+        global VISIBILITY_MATRIX_CACHE
+        if reduce(str.__add__, self.layoutText) not in VISIBILITY_MATRIX_CACHE:
+            from game import Directions
+            vecs = [(-0.5,0), (0.5,0),(0,-0.5),(0,0.5)]
+            dirs = [Directions.NORTH, Directions.SOUTH, Directions.WEST, Directions.EAST]
+            vis = Grid(self.width, self.height, {Directions.NORTH:set(), Directions.SOUTH:set(), Directions.EAST:set(), Directions.WEST:set(), Directions.STOP:set()})
+            for x in range(self.width):
+                for y in range(self.height):
+                    if self.walls[x][y] == False:
+                        for vec, direction in zip(vecs, dirs):
+                            dx, dy = vec
+                            nextx, nexty = x + dx, y + dy
+                            while (nextx + nexty) != int(nextx) + int(nexty) or not self.walls[int(nextx)][int(nexty)] :
+                                vis[x][y][direction].add((nextx, nexty))
+                                nextx, nexty = x + dx, y + dy
+            self.visibility = vis
+            VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)] = vis
+        else:
+            self.visibility = VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)]
+
+    def isWall(self, pos):
+        x, col = pos
+        return self.walls[x][col]
+
+    def getRandomLegalPosition(self):
+        x = random.choice(range(self.width))
+        y = random.choice(range(self.height))
+        while self.isWall( (x, y) ):
+            x = random.choice(range(self.width))
+            y = random.choice(range(self.height))
+        return (x,y)
+
+    def getRandomCorner(self):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        return random.choice(poses)
+
+    def getFurthestCorner(self, pacPos):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        dist, pos = max([(manhattanDistance(p, pacPos), p) for p in poses])
+        return pos
+
+    def isVisibleFrom(self, ghostPos, pacPos, pacDirection):
+        row, col = [int(x) for x in pacPos]
+        return ghostPos in self.visibility[row][col][pacDirection]
+
+    def __str__(self):
+        return "\n".join(self.layoutText)
+
+    def deepCopy(self):
+        return Layout(self.layoutText[:])
+
+    def processLayoutText(self, layoutText):
+        """
+        Coordinates are flipped from the input format to the (x,y) convention here
+
+        The shape of the maze.  Each character
+        represents a different type of object.
+         % - Wall
+         . - Food
+         o - Capsule
+         G - Ghost
+         P - Pacman
+        Other characters are ignored.
+        """
+        maxY = self.height - 1
+        for y in range(self.height):
+            for x in range(self.width):
+                layoutChar = layoutText[maxY - y][x]
+                self.processLayoutChar(x, y, layoutChar)
+        self.agentPositions.sort()
+        self.agentPositions = [ ( i == 0, pos) for i, pos in self.agentPositions]
+
+    def processLayoutChar(self, x, y, layoutChar):
+        if layoutChar == '%':
+            self.walls[x][y] = True
+        elif layoutChar == '.':
+            self.food[x][y] = True
+        elif layoutChar == 'o':
+            self.capsules.append((x, y))
+        elif layoutChar == 'P':
+            self.agentPositions.append( (0, (x, y) ) )
+        elif layoutChar in ['G']:
+            self.agentPositions.append( (1, (x, y) ) )
+            self.numGhosts += 1
+        elif layoutChar in  ['1', '2', '3', '4']:
+            self.agentPositions.append( (int(layoutChar), (x,y)))
+            self.numGhosts += 1
+def getLayout(name, back = 2):
+    if name.endswith('.lay'):
+        layout = tryToLoad('layouts/' + name)
+        if layout == None: layout = tryToLoad(name)
+    else:
+        layout = tryToLoad('layouts/' + name + '.lay')
+        if layout == None: layout = tryToLoad(name + '.lay')
+    if layout == None and back >= 0:
+        curdir = os.path.abspath('.')
+        os.chdir('..')
+        layout = getLayout(name, back -1)
+        os.chdir(curdir)
+    return layout
+
+def tryToLoad(fullname):
+    if(not os.path.exists(fullname)): return None
+    f = open(fullname)
+    try: return Layout([line.strip() for line in f])
+    finally: f.close()
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layout.pyc b/cs188-projects-master/P3 Reinforcement Learning/layout.pyc
new file mode 100644
index 0000000..72e2a37
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/layout.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/capsuleClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/capsuleClassic.lay
new file mode 100644
index 0000000..06a5c51
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/capsuleClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%
+%G.       G   ....%
+%.% % %%%%%% %.%%.%
+%.%o% %   o% %.o%.%
+%.%%%.%  %%% %..%.%
+%.....  P    %..%G%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/contestClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/contestClassic.lay
new file mode 100644
index 0000000..84c8733
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/contestClassic.lay	
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%...... G GG%......%
+%.%.%%.%% %%%.%%.%.%
+%.%....% ooo%.%..%.%
+%.%.%%.% %% %.%.%%.%
+%o%......P....%....%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/mediumClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/mediumClassic.lay
new file mode 100644
index 0000000..33c5db8
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/mediumClassic.lay	
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%....%
+%.%%.%.%%%%%%.%.%%.%
+%.%..............%.%
+%.%.%%.%%  %%.%%.%.%
+%......%G  G%......%
+%.%.%%.%%%%%%.%%.%.%
+%.%..............%.%
+%.%%.%.%%%%%%.%.%%.%
+%....%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/mediumGrid.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/mediumGrid.lay
new file mode 100644
index 0000000..52b2707
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/mediumGrid.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%
+%P     %
+% .% . %
+%  %   %
+% .% . %
+%     G%
+%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/minimaxClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/minimaxClassic.lay
new file mode 100644
index 0000000..a547397
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/minimaxClassic.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%%
+%.P    G% 
+% %.%G%%%  
+%G    %%% 
+%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/openClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/openClassic.lay
new file mode 100644
index 0000000..6760b42
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/openClassic.lay	
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%
+%.. P  ....      ....   %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      .... G %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      ....  o%
+%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/originalClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/originalClassic.lay
new file mode 100644
index 0000000..b2770c5
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/originalClassic.lay	
@@ -0,0 +1,27 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o%%%%.%%%%%.%%.%%%%%.%%%%o%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%..........................%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%......%%....%%....%%......%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%  %%%% %.%%%%%%
+%     .  %G  GG  G%  .     %
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o..%%.......  .......%%..o%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%......%%....%%....%%......%
+%.%%%%%%%%%%.%%.%%%%%%%%%%.%
+%.............P............%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/powerClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/powerClassic.lay
new file mode 100644
index 0000000..3f3d983
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/powerClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%o....o%GGGG%o....o%
+%..%...%%  %%...%..%
+%.%o.%........%.o%.%
+%.o%.%.%%%%%%.%.%o.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/smallClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/smallClassic.lay
new file mode 100644
index 0000000..ce6c1d9
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/smallClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/smallGrid.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/smallGrid.lay
new file mode 100644
index 0000000..4bbe2b6
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/smallGrid.lay	
@@ -0,0 +1,7 @@
+%%%%%%%
+% P   %
+% %%% %
+% %.  %
+% %%% %
+%. G  %
+%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/testClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/testClassic.lay
new file mode 100644
index 0000000..4b3ffca
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/testClassic.lay	
@@ -0,0 +1,10 @@
+%%%%%
+% . %
+%.G.%
+% . %
+%. .%
+%   %
+%  .%
+%   %
+%P .%
+%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/trappedClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/trappedClassic.lay
new file mode 100644
index 0000000..289557f
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/trappedClassic.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%
+%   P G%
+%G%%%%%%
+%....  %
+%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/layouts/trickyClassic.lay b/cs188-projects-master/P3 Reinforcement Learning/layouts/trickyClassic.lay
new file mode 100644
index 0000000..ffa156c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/layouts/trickyClassic.lay	
@@ -0,0 +1,13 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%.%.....%..%.....%.%
+%.%.%%.%%  %%.%%.%.%
+%...... GGGG%.%....%
+%.%....%%%%%%.%..%.%
+%.%....%  oo%.%..%.%
+%.%....% %%%%.%..%.%
+%.%...........%..%.%
+%.%%.%.%%%%%%.%.%%.%
+%o...%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P3 Reinforcement Learning/learningAgents.py b/cs188-projects-master/P3 Reinforcement Learning/learningAgents.py
new file mode 100644
index 0000000..ef6c51c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/learningAgents.py	
@@ -0,0 +1,258 @@
+# learningAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Directions, Agent, Actions
+
+import random,util,time
+
+class ValueEstimationAgent(Agent):
+    """
+      Abstract agent which assigns values to (state,action)
+      Q-Values for an environment. As well as a value to a
+      state and a policy given respectively by,
+
+      V(s) = max_{a in actions} Q(s,a)
+      policy(s) = arg_max_{a in actions} Q(s,a)
+
+      Both ValueIterationAgent and QLearningAgent inherit
+      from this agent. While a ValueIterationAgent has
+      a model of the environment via a MarkovDecisionProcess
+      (see mdp.py) that is used to estimate Q-Values before
+      ever actually acting, the QLearningAgent estimates
+      Q-Values while acting in the environment.
+    """
+
+    def __init__(self, alpha=1.0, epsilon=0.05, gamma=0.8, numTraining = 10):
+        """
+        Sets options, which can be passed in via the Pacman command line using -a alpha=0.5,...
+        alpha    - learning rate
+        epsilon  - exploration rate
+        gamma    - discount factor
+        numTraining - number of training episodes, i.e. no learning after these many episodes
+        """
+        self.alpha = float(alpha)
+        self.epsilon = float(epsilon)
+        self.discount = float(gamma)
+        self.numTraining = int(numTraining)
+
+    ####################################
+    #    Override These Functions      #
+    ####################################
+    def getQValue(self, state, action):
+        """
+        Should return Q(state,action)
+        """
+        util.raiseNotDefined()
+
+    def getValue(self, state):
+        """
+        What is the value of this state under the best action?
+        Concretely, this is given by
+
+        V(s) = max_{a in actions} Q(s,a)
+        """
+        util.raiseNotDefined()
+
+    def getPolicy(self, state):
+        """
+        What is the best action to take in the state. Note that because
+        we might want to explore, this might not coincide with getAction
+        Concretely, this is given by
+
+        policy(s) = arg_max_{a in actions} Q(s,a)
+
+        If many actions achieve the maximal Q-value,
+        it doesn't matter which is selected.
+        """
+        util.raiseNotDefined()
+
+    def getAction(self, state):
+        """
+        state: can call state.getLegalActions()
+        Choose an action and return it.
+        """
+        util.raiseNotDefined()
+
+class ReinforcementAgent(ValueEstimationAgent):
+    """
+      Abstract Reinforcemnt Agent: A ValueEstimationAgent
+            which estimates Q-Values (as well as policies) from experience
+            rather than a model
+
+        What you need to know:
+                    - The environment will call
+                      observeTransition(state,action,nextState,deltaReward),
+                      which will call update(state, action, nextState, deltaReward)
+                      which you should override.
+        - Use self.getLegalActions(state) to know which actions
+                      are available in a state
+    """
+    ####################################
+    #    Override These Functions      #
+    ####################################
+
+    def update(self, state, action, nextState, reward):
+        """
+                This class will call this function, which you write, after
+                observing a transition and reward
+        """
+        util.raiseNotDefined()
+
+    ####################################
+    #    Read These Functions          #
+    ####################################
+
+    def getLegalActions(self,state):
+        """
+          Get the actions available for a given
+          state. This is what you should use to
+          obtain legal actions for a state
+        """
+        return self.actionFn(state)
+
+    def observeTransition(self, state,action,nextState,deltaReward):
+        """
+            Called by environment to inform agent that a transition has
+            been observed. This will result in a call to self.update
+            on the same arguments
+
+            NOTE: Do *not* override or call this function
+        """
+        self.episodeRewards += deltaReward
+        self.update(state,action,nextState,deltaReward)
+
+    def startEpisode(self):
+        """
+          Called by environment when new episode is starting
+        """
+        self.lastState = None
+        self.lastAction = None
+        self.episodeRewards = 0.0
+
+    def stopEpisode(self):
+        """
+          Called by environment when episode is done
+        """
+        if self.episodesSoFar < self.numTraining:
+            self.accumTrainRewards += self.episodeRewards
+        else:
+            self.accumTestRewards += self.episodeRewards
+        self.episodesSoFar += 1
+        if self.episodesSoFar >= self.numTraining:
+            # Take off the training wheels
+            self.epsilon = 0.0    # no exploration
+            self.alpha = 0.0      # no learning
+
+    def isInTraining(self):
+        return self.episodesSoFar < self.numTraining
+
+    def isInTesting(self):
+        return not self.isInTraining()
+
+    def __init__(self, actionFn = None, numTraining=100, epsilon=0.5, alpha=0.5, gamma=1):
+        """
+        actionFn: Function which takes a state and returns the list of legal actions
+
+        alpha    - learning rate
+        epsilon  - exploration rate
+        gamma    - discount factor
+        numTraining - number of training episodes, i.e. no learning after these many episodes
+        """
+        if actionFn == None:
+            actionFn = lambda state: state.getLegalActions()
+        self.actionFn = actionFn
+        self.episodesSoFar = 0
+        self.accumTrainRewards = 0.0
+        self.accumTestRewards = 0.0
+        self.numTraining = int(numTraining)
+        self.epsilon = float(epsilon)
+        self.alpha = float(alpha)
+        self.discount = float(gamma)
+
+    ################################
+    # Controls needed for Crawler  #
+    ################################
+    def setEpsilon(self, epsilon):
+        self.epsilon = epsilon
+
+    def setLearningRate(self, alpha):
+        self.alpha = alpha
+
+    def setDiscount(self, discount):
+        self.discount = discount
+
+    def doAction(self,state,action):
+        """
+            Called by inherited class when
+            an action is taken in a state
+        """
+        self.lastState = state
+        self.lastAction = action
+
+    ###################
+    # Pacman Specific #
+    ###################
+    def observationFunction(self, state):
+        """
+            This is where we ended up after our last action.
+            The simulation should somehow ensure this is called
+        """
+        if not self.lastState is None:
+            reward = state.getScore() - self.lastState.getScore()
+            self.observeTransition(self.lastState, self.lastAction, state, reward)
+        return state
+
+    def registerInitialState(self, state):
+        self.startEpisode()
+        if self.episodesSoFar == 0:
+            print 'Beginning %d episodes of Training' % (self.numTraining)
+
+    def final(self, state):
+        """
+          Called by Pacman game at the terminal state
+        """
+        deltaReward = state.getScore() - self.lastState.getScore()
+        self.observeTransition(self.lastState, self.lastAction, state, deltaReward)
+        self.stopEpisode()
+
+        # Make sure we have this var
+        if not 'episodeStartTime' in self.__dict__:
+            self.episodeStartTime = time.time()
+        if not 'lastWindowAccumRewards' in self.__dict__:
+            self.lastWindowAccumRewards = 0.0
+        self.lastWindowAccumRewards += state.getScore()
+
+        NUM_EPS_UPDATE = 100
+        if self.episodesSoFar % NUM_EPS_UPDATE == 0:
+            print 'Reinforcement Learning Status:'
+            windowAvg = self.lastWindowAccumRewards / float(NUM_EPS_UPDATE)
+            if self.episodesSoFar <= self.numTraining:
+                trainAvg = self.accumTrainRewards / float(self.episodesSoFar)
+                print '\tCompleted %d out of %d training episodes' % (
+                       self.episodesSoFar,self.numTraining)
+                print '\tAverage Rewards over all training: %.2f' % (
+                        trainAvg)
+            else:
+                testAvg = float(self.accumTestRewards) / (self.episodesSoFar - self.numTraining)
+                print '\tCompleted %d test episodes' % (self.episodesSoFar - self.numTraining)
+                print '\tAverage Rewards over testing: %.2f' % testAvg
+            print '\tAverage Rewards for last %d episodes: %.2f'  % (
+                    NUM_EPS_UPDATE,windowAvg)
+            print '\tEpisode took %.2f seconds' % (time.time() - self.episodeStartTime)
+            self.lastWindowAccumRewards = 0.0
+            self.episodeStartTime = time.time()
+
+        if self.episodesSoFar == self.numTraining:
+            msg = 'Training Done (turning off epsilon and alpha)'
+            print '%s\n%s' % (msg,'-' * len(msg))
diff --git a/cs188-projects-master/P3 Reinforcement Learning/learningAgents.pyc b/cs188-projects-master/P3 Reinforcement Learning/learningAgents.pyc
new file mode 100644
index 0000000..3fc2de7
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/learningAgents.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/mdp.py b/cs188-projects-master/P3 Reinforcement Learning/mdp.py
new file mode 100644
index 0000000..0ce0c28
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/mdp.py	
@@ -0,0 +1,67 @@
+# mdp.py
+# ------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import random
+
+class MarkovDecisionProcess:
+
+    def getStates(self):
+        """
+        Return a list of all states in the MDP.
+        Not generally possible for large MDPs.
+        """
+        abstract
+
+    def getStartState(self):
+        """
+        Return the start state of the MDP.
+        """
+        abstract
+
+    def getPossibleActions(self, state):
+        """
+        Return list of possible actions from 'state'.
+        """
+        abstract
+
+    def getTransitionStatesAndProbs(self, state, action):
+        """
+        Returns list of (nextState, prob) pairs
+        representing the states reachable
+        from 'state' by taking 'action' along
+        with their transition probabilities.
+
+        Note that in Q-Learning and reinforcment
+        learning in general, we do not know these
+        probabilities nor do we directly model them.
+        """
+        abstract
+
+    def getReward(self, state, action, nextState):
+        """
+        Get the reward for the state, action, nextState transition.
+
+        Not available in reinforcement learning.
+        """
+        abstract
+
+    def isTerminal(self, state):
+        """
+        Returns true if the current state is a terminal state.  By convention,
+        a terminal state has zero future rewards.  Sometimes the terminal state(s)
+        may have no possible actions.  It is also common to think of the terminal
+        state as having a self-loop action 'pass' with zero reward; the formulations
+        are equivalent.
+        """
+        abstract
diff --git a/cs188-projects-master/P3 Reinforcement Learning/mdp.pyc b/cs188-projects-master/P3 Reinforcement Learning/mdp.pyc
new file mode 100644
index 0000000..94d9669
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/mdp.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/pacman.py b/cs188-projects-master/P3 Reinforcement Learning/pacman.py
new file mode 100644
index 0000000..740451d
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/pacman.py	
@@ -0,0 +1,684 @@
+# pacman.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Pacman.py holds the logic for the classic pacman game along with the main
+code to run a game.  This file is divided into three sections:
+
+  (i)  Your interface to the pacman world:
+          Pacman is a complex environment.  You probably don't want to
+          read through all of the code we wrote to make the game runs
+          correctly.  This section contains the parts of the code
+          that you will need to understand in order to complete the
+          project.  There is also some code in game.py that you should
+          understand.
+
+  (ii)  The hidden secrets of pacman:
+          This section contains all of the logic code that the pacman
+          environment uses to decide who can move where, who dies when
+          things collide, etc.  You shouldn't need to read this section
+          of code, but you can if you want.
+
+  (iii) Framework to start a game:
+          The final section contains the code for reading the command
+          you use to set up the game, then starting up a new game, along with
+          linking in all the external parts (agent functions, graphics).
+          Check this section out to see all the options available to you.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from util import nearestPoint
+from util import manhattanDistance
+import util, layout
+import sys, types, time, random, os
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    # static variable keeps track of which states have had getLegalActions called
+    explored = set()
+    def getAndResetExplored():
+        tmp = GameState.explored.copy()
+        GameState.explored = set()
+        return tmp
+    getAndResetExplored = staticmethod(getAndResetExplored)
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+#        GameState.explored.add(self)
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def generateSuccessor( self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+        else:
+            GhostRules.decrementTimer( state.data.agentStates[agentIndex] )
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+        GameState.explored.add(self)
+        GameState.explored.add(state)
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def generatePacmanSuccessor( self, action ):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getGhostStates( self ):
+        return self.data.agentStates[1:]
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0 or agentIndex >= self.getNumAgents():
+            raise Exception("Invalid index passed to getGhostState")
+        return self.data.agentStates[agentIndex]
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise Exception("Pacman's index passed to getGhostPosition")
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostPositions(self):
+        return [s.getPosition() for s in self.getGhostStates()]
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return float(self.data.score)
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is a wall at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+    def isLose( self ):
+        return self.data._lose
+
+    def isWin( self ):
+        return self.data._win
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None: # Initial state
+            self.data = GameStateData(prevState.data)
+        else:
+            self.data = GameStateData()
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return hasattr(other, 'data') and self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( self.data )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+SCARED_TIME = 40    # Moves ghosts are scared
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class ClassicGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+    def __init__(self, timeout=30):
+        self.timeout = timeout
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, quiet = False, catchExceptions=False):
+        agents = [pacmanAgent] + ghostAgents[:layout.getNumGhosts()]
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents) )
+        game = Game(agents, display, self, catchExceptions=catchExceptions)
+        game.state = initState
+        self.initialState = initState.deepCopy()
+        self.quiet = quiet
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        if not self.quiet: print "Pacman emerges victorious! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        if not self.quiet: print "Pacman died! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def getProgress(self, game):
+        return float(game.state.getNumFood()) / self.initialState.getNumFood()
+
+    def agentCrash(self, game, agentIndex):
+        if agentIndex == 0:
+            print "Pacman crashed"
+        else:
+            print "A ghost crashed"
+
+    def getMaxTotalTime(self, agentIndex):
+        return self.timeout
+
+    def getMaxStartupTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveWarningTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveTimeout(self, agentIndex):
+        return self.timeout
+
+    def getMaxTimeWarnings(self, agentIndex):
+        return 0
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    PACMAN_SPEED=1
+
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, PacmanRules.PACMAN_SPEED )
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint( next )
+        if manhattanDistance( nearest, next ) <= 0.5 :
+            # Remove food
+            PacmanRules.consume( nearest, state )
+    applyAction = staticmethod( applyAction )
+
+    def consume( position, state ):
+        x,y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+            # TODO: cache numFood?
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += 500
+                state.data._win = True
+        # Eat capsule
+        if( position in state.getCapsules() ):
+            state.data.capsules.remove( position )
+            state.data._capsuleEaten = position
+            # Reset all ghosts' scared timers
+            for index in range( 1, len( state.data.agentStates ) ):
+                state.data.agentStates[index].scaredTimer = SCARED_TIME
+    consume = staticmethod( consume )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    GHOST_SPEED=1.0
+    def getLegalActions( state, ghostIndex ):
+        """
+        Ghosts cannot stop, and cannot turn around unless they
+        reach a dead end, but can turn 90 degrees at intersections.
+        """
+        conf = state.getGhostState( ghostIndex ).configuration
+        possibleActions = Actions.getPossibleActions( conf, state.data.layout.walls )
+        reverse = Actions.reverseDirection( conf.direction )
+        if Directions.STOP in possibleActions:
+            possibleActions.remove( Directions.STOP )
+        if reverse in possibleActions and len( possibleActions ) > 1:
+            possibleActions.remove( reverse )
+        return possibleActions
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action, ghostIndex):
+
+        legal = GhostRules.getLegalActions( state, ghostIndex )
+        if action not in legal:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        speed = GhostRules.GHOST_SPEED
+        if ghostState.scaredTimer > 0: speed /= 2.0
+        vector = Actions.directionToVector( action, speed )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def decrementTimer( ghostState):
+        timer = ghostState.scaredTimer
+        if timer == 1:
+            ghostState.configuration.pos = nearestPoint( ghostState.configuration.pos )
+        ghostState.scaredTimer = max( 0, timer - 1 )
+    decrementTimer = staticmethod( decrementTimer )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        if ghostState.scaredTimer > 0:
+            state.data.scoreChange += 200
+            GhostRules.placeGhost(state, ghostState)
+            ghostState.scaredTimer = 0
+            # Added for first-person
+            state.data._eaten[agentIndex] = True
+        else:
+            if not state.data._win:
+                state.data.scoreChange -= 500
+                state.data._lose = True
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod( placeGhost )
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python pacman.py 
+    EXAMPLES:   (1) python pacman.py
+                    - starts an interactive game
+                (2) python pacman.py --layout smallClassic --zoom 2
+                OR  python pacman.py -l smallClassic -z 2
+                    - starts an interactive game on a smaller board, zoomed in
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='mediumClassic')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-t', '--textGraphics', action='store_true', dest='textGraphics',
+                      help='Display output as text only', default=False)
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='RandomGhost')
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=4)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed',
+                      help='Fixes the random seed to always play the same game', default=False)
+    parser.add_option('-r', '--recordActions', action='store_true', dest='record',
+                      help='Writes game histories to a file (named by the time they were played)', default=False)
+    parser.add_option('--replay', dest='gameToReplay',
+                      help='A recorded game file (pickle) to replay', default=None)
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma separated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-x', '--numTraining', dest='numTraining', type='int',
+                      help=default('How many episodes are training (suppresses output)'), default=0)
+    parser.add_option('--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-c', '--catchExceptions', action='store_true', dest='catchExceptions',
+                      help='Turns on exception handling and timeouts during games', default=False)
+    parser.add_option('--timeout', dest='timeout', type='int',
+                      help=default('Maximum length of time an agent can spend computing in a single game'), default=30)
+
+    options, otherjunk = parser.parse_args(argv)
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + str(otherjunk))
+    args = dict()
+
+    # Fix the random seed
+    if options.fixRandomSeed: random.seed('cs188')
+
+    # Choose a layout
+    args['layout'] = layout.getLayout( options.layout )
+    if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a Pacman agent
+    noKeyboard = options.gameToReplay == None and (options.textGraphics or options.quietGraphics)
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    if options.numTraining > 0:
+        args['numTraining'] = options.numTraining
+        if 'numTraining' not in agentOpts: agentOpts['numTraining'] = options.numTraining
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    # Don't display training games
+    if 'numTrain' in agentOpts:
+        options.numQuiet = int(agentOpts['numTrain'])
+        options.numIgnore = int(agentOpts['numTrain'])
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, noKeyboard)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a display format
+    if options.quietGraphics:
+        import textDisplay
+        args['display'] = textDisplay.NullGraphics()
+    elif options.textGraphics:
+        import textDisplay
+        textDisplay.SLEEP_TIME = options.frameTime
+        args['display'] = textDisplay.PacmanGraphics()
+    else:
+        import graphicsDisplay
+        args['display'] = graphicsDisplay.PacmanGraphics(options.zoom, frameTime = options.frameTime)
+    args['numGames'] = options.numGames
+    args['record'] = options.record
+    args['catchExceptions'] = options.catchExceptions
+    args['timeout'] = options.timeout
+
+    # Special case: recorded games don't use the runGames method or args structure
+    if options.gameToReplay != None:
+        print 'Replaying recorded game %s.' % options.gameToReplay
+        import cPickle
+        f = open(options.gameToReplay)
+        try: recorded = cPickle.load(f)
+        finally: f.close()
+        recorded['display'] = args['display']
+        replayGame(**recorded)
+        sys.exit(0)
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def replayGame( layout, actions, display ):
+    import pacmanAgents, ghostAgents
+    rules = ClassicGameRules()
+    agents = [pacmanAgents.GreedyAgent()] + [ghostAgents.RandomGhost(i+1) for i in range(layout.getNumGhosts())]
+    game = rules.newGame( layout, agents[0], agents[1:], display )
+    state = game.state
+    display.initialize(state.data)
+
+    for action in actions:
+            # Execute the action
+        state = state.generateSuccessor( *action )
+        # Change the display
+        display.update( state.data )
+        # Allow for game specific conditions (winning, losing, etc.)
+        rules.process(state, game)
+
+    display.finish()
+
+def runGames( layout, pacman, ghosts, display, numGames, record, numTraining = 0, catchExceptions=False, timeout=30 ):
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = ClassicGameRules(timeout)
+    games = []
+
+    for i in range( numGames ):
+        beQuiet = i < numTraining
+        if beQuiet:
+                # Suppress output and graphics
+            import textDisplay
+            gameDisplay = textDisplay.NullGraphics()
+            rules.quiet = True
+        else:
+            gameDisplay = display
+            rules.quiet = False
+        game = rules.newGame( layout, pacman, ghosts, gameDisplay, beQuiet, catchExceptions)
+        game.run()
+        if not beQuiet: games.append(game)
+
+        if record:
+            import time, cPickle
+            fname = ('recorded-game-%d' % (i + 1)) +  '-'.join([str(t) for t in time.localtime()[1:6]])
+            f = file(fname, 'w')
+            components = {'layout': layout, 'actions': game.moveHistory}
+            cPickle.dump(components, f)
+            f.close()
+
+    if (numGames-numTraining) > 0:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print 'Average Score:', sum(scores) / float(len(scores))
+        print 'Scores:       ', ', '.join([str(score) for score in scores])
+        print 'Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate)
+        print 'Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins])
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
+
+    # import cProfile
+    # cProfile.run("runGames( **args )")
+    pass
diff --git a/cs188-projects-master/P3 Reinforcement Learning/pacman.pyc b/cs188-projects-master/P3 Reinforcement Learning/pacman.pyc
new file mode 100644
index 0000000..352cc0d
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diff --git a/cs188-projects-master/P3 Reinforcement Learning/pacmanAgents.py b/cs188-projects-master/P3 Reinforcement Learning/pacmanAgents.py
new file mode 100644
index 0000000..ae97634
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/pacmanAgents.py	
@@ -0,0 +1,52 @@
+# pacmanAgents.py
+# ---------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from pacman import Directions
+from game import Agent
+import random
+import game
+import util
+
+class LeftTurnAgent(game.Agent):
+    "An agent that turns left at every opportunity"
+
+    def getAction(self, state):
+        legal = state.getLegalPacmanActions()
+        current = state.getPacmanState().configuration.direction
+        if current == Directions.STOP: current = Directions.NORTH
+        left = Directions.LEFT[current]
+        if left in legal: return left
+        if current in legal: return current
+        if Directions.RIGHT[current] in legal: return Directions.RIGHT[current]
+        if Directions.LEFT[left] in legal: return Directions.LEFT[left]
+        return Directions.STOP
+
+class GreedyAgent(Agent):
+    def __init__(self, evalFn="scoreEvaluation"):
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        assert self.evaluationFunction != None
+
+    def getAction(self, state):
+        # Generate candidate actions
+        legal = state.getLegalPacmanActions()
+        if Directions.STOP in legal: legal.remove(Directions.STOP)
+
+        successors = [(state.generateSuccessor(0, action), action) for action in legal]
+        scored = [(self.evaluationFunction(state), action) for state, action in successors]
+        bestScore = max(scored)[0]
+        bestActions = [pair[1] for pair in scored if pair[0] == bestScore]
+        return random.choice(bestActions)
+
+def scoreEvaluation(state):
+    return state.getScore()
diff --git a/cs188-projects-master/P3 Reinforcement Learning/pacmanAgents.pyc b/cs188-projects-master/P3 Reinforcement Learning/pacmanAgents.pyc
new file mode 100644
index 0000000..13d76b3
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diff --git a/cs188-projects-master/P3 Reinforcement Learning/projectParams.py b/cs188-projects-master/P3 Reinforcement Learning/projectParams.py
new file mode 100644
index 0000000..7d92e34
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/projectParams.py	
@@ -0,0 +1,18 @@
+# projectParams.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+STUDENT_CODE_DEFAULT = 'analysis.py,qlearningAgents.py,valueIterationAgents.py'
+PROJECT_TEST_CLASSES = 'reinforcementTestClasses.py'
+PROJECT_NAME = 'Project 3: Reinforcement learning'
+BONUS_PIC = False
diff --git a/cs188-projects-master/P3 Reinforcement Learning/projectParams.pyc b/cs188-projects-master/P3 Reinforcement Learning/projectParams.pyc
new file mode 100644
index 0000000..ad7deaf
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diff --git a/cs188-projects-master/P3 Reinforcement Learning/qlearningAgents.py b/cs188-projects-master/P3 Reinforcement Learning/qlearningAgents.py
new file mode 100644
index 0000000..fa720ad
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/qlearningAgents.py	
@@ -0,0 +1,220 @@
+# qlearningAgents.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import *
+from learningAgents import ReinforcementAgent
+from featureExtractors import *
+
+import random,util,math
+
+class QLearningAgent(ReinforcementAgent):
+    """
+      Q-Learning Agent
+
+      Functions you should fill in:
+        - computeValueFromQValues
+        - computeActionFromQValues
+        - getQValue
+        - getAction
+        - update
+
+      Instance variables you have access to
+        - self.epsilon (exploration prob)
+        - self.alpha (learning rate)
+        - self.discount (discount rate)
+
+      Functions you should use
+        - self.getLegalActions(state)
+          which returns legal actions for a state
+    """
+    def __init__(self, **args):
+        "You can initialize Q-values here..."
+        ReinforcementAgent.__init__(self, **args)
+        "*** YOUR CODE HERE ***"
+        self.q_values = util.Counter()
+
+    def getQValue(self, state, action):
+        """
+          Returns Q(state,action)
+          Should return 0.0 if we have never seen a state
+          or the Q node value otherwise
+        """
+        "*** YOUR CODE HERE ***"
+        return self.q_values[(state, action)]
+
+    def computeValueFromQValues(self, state):
+        """
+          Returns max_action Q(state,action)
+          where the max is over legal actions.  Note that if
+          there are no legal actions, which is the case at the
+          terminal state, you should return a value of 0.0.
+        """
+        "*** YOUR CODE HERE ***"
+        legalActions = self.getLegalActions(state)
+        if len(legalActions)==0:
+          return 0.0
+        tmp = util.Counter()
+        for action in legalActions:
+          tmp[action] = self.getQValue(state, action)
+        return tmp[tmp.argMax()] 
+    def computeActionFromQValues(self, state):
+        """
+          Compute the best action to take in a state.  Note that if there
+          are no legal actions, which is the case at the terminal state,
+          you should return None.
+        """
+        "*** YOUR CODE HERE ***"
+        actions = self.getLegalActions(state)
+        best_action = None
+        max_val = float('-inf')
+        for action in actions:
+          q_value = self.q_values[(state, action)]
+          if max_val < q_value:
+            max_val = q_value
+            best_action = action
+        return best_action
+
+    def getAction(self, state):
+        """
+          Compute the action to take in the current state.  With
+          probability self.epsilon, we should take a random action and
+          take the best policy action otherwise.  Note that if there are
+          no legal actions, which is the case at the terminal state, you
+          should choose None as the action.
+
+          HINT: You might want to use util.flipCoin(prob)
+          HINT: To pick randomly from a list, use random.choice(list)
+        """
+        # Pick Action
+        "*** YOUR CODE HERE ***"
+        legal_actions = self.getLegalActions(state)
+        explore = util.flipCoin(self.epsilon)
+        if explore:
+            return random.choice(legal_actions)
+        else:
+            return self.getPolicy(state)
+
+    def update(self, state, action, nextState, reward):
+        """
+          The parent class calls this to observe a
+          state = action => nextState and reward transition.
+          You should do your Q-Value update here
+
+          NOTE: You should never call this function,
+          it will be called on your behalf
+        """
+        "*** YOUR CODE HERE ***"
+        old_q_value = self.getQValue(state, action)
+        old_part = (1 - self.alpha) * old_q_value
+        reward_part = self.alpha * reward
+        if not nextState:
+          self.q_values[(state, action)] = old_part + reward_part
+        else:
+          nextState_part = self.alpha * self.discount * self.getValue(nextState)
+          self.q_values[(state, action)] = old_part + reward_part + nextState_part
+
+    def getPolicy(self, state):
+        return self.computeActionFromQValues(state)
+
+    def getValue(self, state):
+        return self.computeValueFromQValues(state)
+
+
+class PacmanQAgent(QLearningAgent):
+    "Exactly the same as QLearningAgent, but with different default parameters"
+
+    def __init__(self, epsilon=0.05,gamma=0.8,alpha=0.2, numTraining=0, **args):
+        """
+        These default parameters can be changed from the pacman.py command line.
+        For example, to change the exploration rate, try:
+            python pacman.py -p PacmanQLearningAgent -a epsilon=0.1
+
+        alpha    - learning rate
+        epsilon  - exploration rate
+        gamma    - discount factor
+        numTraining - number of training episodes, i.e. no learning after these many episodes
+        """
+        args['epsilon'] = epsilon
+        args['gamma'] = gamma
+        args['alpha'] = alpha
+        args['numTraining'] = numTraining
+        self.index = 0  # This is always Pacman
+        QLearningAgent.__init__(self, **args)
+
+    def getAction(self, state):
+        """
+        Simply calls the getAction method of QLearningAgent and then
+        informs parent of action for Pacman.  Do not change or remove this
+        method.
+        """
+        action = QLearningAgent.getAction(self,state)
+        self.doAction(state,action)
+        return action
+
+
+class ApproximateQAgent(PacmanQAgent):
+    """
+       ApproximateQLearningAgent
+
+       You should only have to overwrite getQValue
+       and update.  All other QLearningAgent functions
+       should work as is.
+    """
+    def __init__(self, extractor='IdentityExtractor', **args):
+        self.featExtractor = util.lookup(extractor, globals())()
+        PacmanQAgent.__init__(self, **args)
+        self.weights = util.Counter()
+
+    def getWeights(self):
+        return self.weights
+
+    def getQValue(self, state, action):
+        """
+          Should return Q(state,action) = w * featureVector
+          where * is the dotProduct operator
+        """
+        "*** YOUR CODE HERE ***"
+        features = self.featExtractor.getFeatures(state, action)
+        total = 0
+        for i in features:
+            total += features[i] * self.weights[i]
+        return total
+
+    def update(self, state, action, nextState, reward):
+        """
+           Should update your weights based on transition
+        """
+        "*** YOUR CODE HERE ***"
+        diff = (reward + self.discount * self.getValue(nextState)) - self.getQValue(state, action)
+        features = self.featExtractor.getFeatures(state, action)
+        for i in features:
+            self.weights[i] = self.weights[i] + self.alpha * diff * features[i]
+
+    def final(self, state):
+        "Called at the end of each game."
+        # call the super-class final method
+        PacmanQAgent.final(self, state)
+
+        # did we finish training?
+        if self.episodesSoFar == self.numTraining:
+            # you might want to print your weights here for debugging
+            "*** YOUR CODE HERE ***"
+            print "Approximate Q-Learning Summary"
+            print "Learning rate(alpha) : {0}".format(self.alpha)
+            print "Discount rate(gamma) : {0}".format(self.gamma)
+            print "Exploration rate(epsilon) : {0}".format(self.epsilon)
+            print "Training episodes : {0}".format(self.numTraining)
+            print "=======Feature Weights======="
+            for i in features:
+              print "{0} : {1}".format(i, self.weights[i])
diff --git a/cs188-projects-master/P3 Reinforcement Learning/qlearningAgents.pyc b/cs188-projects-master/P3 Reinforcement Learning/qlearningAgents.pyc
new file mode 100644
index 0000000..a960b79
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/qlearningAgents.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/reinforcementTestClasses.py b/cs188-projects-master/P3 Reinforcement Learning/reinforcementTestClasses.py
new file mode 100644
index 0000000..8598240
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/reinforcementTestClasses.py	
@@ -0,0 +1,976 @@
+# reinforcementTestClasses.py
+# ---------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import testClasses
+import random, math, traceback, sys, os
+import layout, textDisplay, pacman, gridworld
+import time
+from util import Counter, TimeoutFunction, FixedRandom
+from collections import defaultdict
+from pprint import PrettyPrinter
+from hashlib import sha1
+pp = PrettyPrinter()
+VERBOSE = False
+
+import gridworld
+
+LIVINGREWARD = -0.1
+NOISE = 0.2
+
+class ValueIterationTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(ValueIterationTest, self).__init__(question, testDict)
+        self.discount = float(testDict['discount'])
+        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
+        iterations = int(testDict['valueIterations'])
+        if 'noise' in testDict: self.grid.setNoise(float(testDict['noise']))
+        if 'livingReward' in testDict: self.grid.setLivingReward(float(testDict['livingReward']))
+        maxPreIterations = 10
+        self.numsIterationsForDisplay = range(min(iterations, maxPreIterations))
+        self.testOutFile = testDict['test_out_file']
+        if maxPreIterations < iterations:
+            self.numsIterationsForDisplay.append(iterations)
+
+    def writeFailureFile(self, string):
+        with open(self.testOutFile, 'w') as handle:
+            handle.write(string)
+
+    def removeFailureFileIfExists(self):
+        if os.path.exists(self.testOutFile):
+            os.remove(self.testOutFile)
+
+    def execute(self, grades, moduleDict, solutionDict):
+        failureOutputFileString = ''
+        failureOutputStdString = ''
+        for n in self.numsIterationsForDisplay:
+            checkPolicy = (n == self.numsIterationsForDisplay[-1])
+            testPass, stdOutString, fileOutString = self.executeNIterations(grades, moduleDict, solutionDict, n, checkPolicy)
+            failureOutputStdString += stdOutString
+            failureOutputFileString += fileOutString
+            if not testPass:
+                self.addMessage(failureOutputStdString)
+                self.addMessage('For more details to help you debug, see test output file %s\n\n' % self.testOutFile)
+                self.writeFailureFile(failureOutputFileString)
+                return self.testFail(grades)
+        self.removeFailureFileIfExists()
+        return self.testPass(grades)
+
+    def executeNIterations(self, grades, moduleDict, solutionDict, n, checkPolicy):
+        testPass = True
+        valuesPretty, qValuesPretty, actions, policyPretty = self.runAgent(moduleDict, n)
+        stdOutString = ''
+        fileOutString = ''
+        valuesKey = "values_k_%d" % n
+        if self.comparePrettyValues(valuesPretty, solutionDict[valuesKey]):
+            fileOutString += "Values at iteration %d are correct.\n" % n
+            fileOutString += "   Student/correct solution:\n %s\n" % self.prettyValueSolutionString(valuesKey, valuesPretty)
+        else:
+            testPass = False
+            outString = "Values at iteration %d are NOT correct.\n" % n
+            outString += "   Student solution:\n %s\n" % self.prettyValueSolutionString(valuesKey, valuesPretty)
+            outString += "   Correct solution:\n %s\n" % self.prettyValueSolutionString(valuesKey, solutionDict[valuesKey])
+            stdOutString += outString
+            fileOutString += outString
+        for action in actions:
+            qValuesKey = 'q_values_k_%d_action_%s' % (n, action)
+            qValues = qValuesPretty[action]
+            if self.comparePrettyValues(qValues, solutionDict[qValuesKey]):
+                fileOutString += "Q-Values at iteration %d for action %s are correct.\n" % (n, action)
+                fileOutString += "   Student/correct solution:\n %s\n" % self.prettyValueSolutionString(qValuesKey, qValues)
+            else:
+                testPass = False
+                outString = "Q-Values at iteration %d for action %s are NOT correct.\n" % (n, action)
+                outString += "   Student solution:\n %s\n" % self.prettyValueSolutionString(qValuesKey, qValues)
+                outString += "   Correct solution:\n %s\n" % self.prettyValueSolutionString(qValuesKey, solutionDict[qValuesKey])
+                stdOutString += outString
+                fileOutString += outString
+        if checkPolicy:
+            if not self.comparePrettyValues(policyPretty, solutionDict['policy']):
+                testPass = False
+                outString = "Policy is NOT correct.\n"
+                outString += "   Student solution:\n %s\n" % self.prettyValueSolutionString('policy', policyPretty)
+                outString += "   Correct solution:\n %s\n" % self.prettyValueSolutionString('policy', solutionDict['policy'])
+                stdOutString += outString
+                fileOutString += outString
+        return testPass, stdOutString, fileOutString
+
+    def writeSolution(self, moduleDict, filePath):
+        with open(filePath, 'w') as handle:
+            policyPretty = ''
+            actions = []
+            for n in self.numsIterationsForDisplay:
+                valuesPretty, qValuesPretty, actions, policyPretty = self.runAgent(moduleDict, n)
+                handle.write(self.prettyValueSolutionString('values_k_%d' % n, valuesPretty))
+                for action in actions:
+                    handle.write(self.prettyValueSolutionString('q_values_k_%d_action_%s' % (n, action), qValuesPretty[action]))
+            handle.write(self.prettyValueSolutionString('policy', policyPretty))
+            handle.write(self.prettyValueSolutionString('actions', '\n'.join(actions) + '\n'))
+        return True
+
+    def runAgent(self, moduleDict, numIterations):
+        agent = moduleDict['valueIterationAgents'].ValueIterationAgent(self.grid, discount=self.discount, iterations=numIterations)
+        states = self.grid.getStates()
+        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
+        values = {}
+        qValues = {}
+        policy = {}
+        for state in states:
+            values[state] = agent.getValue(state)
+            policy[state] = agent.computeActionFromValues(state)
+            possibleActions = self.grid.getPossibleActions(state)
+            for action in actions:
+                if not qValues.has_key(action):
+                    qValues[action] = {}
+                if action in possibleActions:
+                    qValues[action][state] = agent.computeQValueFromValues(state, action)
+                else:
+                    qValues[action][state] = None
+        valuesPretty = self.prettyValues(values)
+        policyPretty = self.prettyPolicy(policy)
+        qValuesPretty = {}
+        for action in actions:
+            qValuesPretty[action] = self.prettyValues(qValues[action])
+        return (valuesPretty, qValuesPretty, actions, policyPretty)
+
+    def prettyPrint(self, elements, formatString):
+        pretty = ''
+        states = self.grid.getStates()
+        for ybar in range(self.grid.grid.height):
+            y = self.grid.grid.height-1-ybar
+            row = []
+            for x in range(self.grid.grid.width):
+                if (x, y) in states:
+                    value = elements[(x, y)]
+                    if value is None:
+                        row.append('   illegal')
+                    else:
+                        row.append(formatString.format(elements[(x,y)]))
+                else:
+                    row.append('_' * 10)
+            pretty += '        %s\n' % ("   ".join(row), )
+        pretty += '\n'
+        return pretty
+
+    def prettyValues(self, values):
+        return self.prettyPrint(values, '{0:10.4f}')
+
+    def prettyPolicy(self, policy):
+        return self.prettyPrint(policy, '{0:10s}')
+
+    def prettyValueSolutionString(self, name, pretty):
+        return '%s: """\n%s\n"""\n\n' % (name, pretty.rstrip())
+
+    def comparePrettyValues(self, aPretty, bPretty, tolerance=0.01):
+        aList = self.parsePrettyValues(aPretty)
+        bList = self.parsePrettyValues(bPretty)
+        if len(aList) != len(bList):
+            return False
+        for a, b in zip(aList, bList):
+            try:
+                aNum = float(a)
+                bNum = float(b)
+                # error = abs((aNum - bNum) / ((aNum + bNum) / 2.0))
+                error = abs(aNum - bNum)
+                if error > tolerance:
+                    return False
+            except ValueError:
+                if a.strip() != b.strip():
+                    return False
+        return True
+
+    def parsePrettyValues(self, pretty):
+        values = pretty.split()
+        return values
+
+
+class AsynchronousValueIterationTest(ValueIterationTest):
+    def runAgent(self, moduleDict, numIterations):
+        agent = moduleDict['valueIterationAgents'].AsynchronousValueIterationAgent(self.grid, discount=self.discount, iterations=numIterations)
+        states = self.grid.getStates()
+        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
+        values = {}
+        qValues = {}
+        policy = {}
+        for state in states:
+            values[state] = agent.getValue(state)
+            policy[state] = agent.computeActionFromValues(state)
+            possibleActions = self.grid.getPossibleActions(state)
+            for action in actions:
+                if not qValues.has_key(action):
+                    qValues[action] = {}
+                if action in possibleActions:
+                    qValues[action][state] = agent.computeQValueFromValues(state, action)
+                else:
+                    qValues[action][state] = None
+        valuesPretty = self.prettyValues(values)
+        policyPretty = self.prettyPolicy(policy)
+        qValuesPretty = {}
+        for action in actions:
+            qValuesPretty[action] = self.prettyValues(qValues[action])
+        return (valuesPretty, qValuesPretty, actions, policyPretty)
+
+class PrioritizedSweepingValueIterationTest(ValueIterationTest):
+    def runAgent(self, moduleDict, numIterations):
+        agent = moduleDict['valueIterationAgents'].PrioritizedSweepingValueIterationAgent(self.grid, discount=self.discount, iterations=numIterations)
+        states = self.grid.getStates()
+        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
+        values = {}
+        qValues = {}
+        policy = {}
+        for state in states:
+            values[state] = agent.getValue(state)
+            policy[state] = agent.computeActionFromValues(state)
+            possibleActions = self.grid.getPossibleActions(state)
+            for action in actions:
+                if not qValues.has_key(action):
+                    qValues[action] = {}
+                if action in possibleActions:
+                    qValues[action][state] = agent.computeQValueFromValues(state, action)
+                else:
+                    qValues[action][state] = None
+        valuesPretty = self.prettyValues(values)
+        policyPretty = self.prettyPolicy(policy)
+        qValuesPretty = {}
+        for action in actions:
+            qValuesPretty[action] = self.prettyValues(qValues[action])
+        return (valuesPretty, qValuesPretty, actions, policyPretty)
+
+class ApproximateQLearningTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(ApproximateQLearningTest, self).__init__(question, testDict)
+        self.discount = float(testDict['discount'])
+        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
+        if 'noise' in testDict: self.grid.setNoise(float(testDict['noise']))
+        if 'livingReward' in testDict: self.grid.setLivingReward(float(testDict['livingReward']))
+        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
+        self.env = gridworld.GridworldEnvironment(self.grid)
+        self.epsilon = float(testDict['epsilon'])
+        self.learningRate = float(testDict['learningRate'])
+        self.extractor = 'IdentityExtractor'
+        if 'extractor' in testDict:
+            self.extractor = testDict['extractor']
+        self.opts = {'actionFn': self.env.getPossibleActions, 'epsilon': self.epsilon, 'gamma': self.discount, 'alpha': self.learningRate}
+        numExperiences = int(testDict['numExperiences'])
+        maxPreExperiences = 10
+        self.numsExperiencesForDisplay = range(min(numExperiences, maxPreExperiences))
+        self.testOutFile = testDict['test_out_file']
+        if maxPreExperiences < numExperiences:
+            self.numsExperiencesForDisplay.append(numExperiences)
+
+    def writeFailureFile(self, string):
+        with open(self.testOutFile, 'w') as handle:
+            handle.write(string)
+
+    def removeFailureFileIfExists(self):
+        if os.path.exists(self.testOutFile):
+            os.remove(self.testOutFile)
+
+    def execute(self, grades, moduleDict, solutionDict):
+        failureOutputFileString = ''
+        failureOutputStdString = ''
+        for n in self.numsExperiencesForDisplay:
+            testPass, stdOutString, fileOutString = self.executeNExperiences(grades, moduleDict, solutionDict, n)
+            failureOutputStdString += stdOutString
+            failureOutputFileString += fileOutString
+            if not testPass:
+                self.addMessage(failureOutputStdString)
+                self.addMessage('For more details to help you debug, see test output file %s\n\n' % self.testOutFile)
+                self.writeFailureFile(failureOutputFileString)
+                return self.testFail(grades)
+        self.removeFailureFileIfExists()
+        return self.testPass(grades)
+
+    def executeNExperiences(self, grades, moduleDict, solutionDict, n):
+        testPass = True
+        qValuesPretty, weights, actions, lastExperience = self.runAgent(moduleDict, n)
+        stdOutString = ''
+        fileOutString = "==================== Iteration %d ====================\n" % n
+        if lastExperience is not None:
+            fileOutString += "Agent observed the transition (startState = %s, action = %s, endState = %s, reward = %f)\n\n" % lastExperience
+        weightsKey = 'weights_k_%d' % n
+        if weights == eval(solutionDict[weightsKey]):
+            fileOutString += "Weights at iteration %d are correct." % n
+            fileOutString += "   Student/correct solution:\n\n%s\n\n" % pp.pformat(weights)
+        for action in actions:
+            qValuesKey = 'q_values_k_%d_action_%s' % (n, action)
+            qValues = qValuesPretty[action]
+            if self.comparePrettyValues(qValues, solutionDict[qValuesKey]):
+                fileOutString += "Q-Values at iteration %d for action '%s' are correct." % (n, action)
+                fileOutString += "   Student/correct solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, qValues)
+            else:
+                testPass = False
+                outString = "Q-Values at iteration %d for action '%s' are NOT correct." % (n, action)
+                outString += "   Student solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, qValues)
+                outString += "   Correct solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, solutionDict[qValuesKey])
+                stdOutString += outString
+                fileOutString += outString
+        return testPass, stdOutString, fileOutString
+
+    def writeSolution(self, moduleDict, filePath):
+        with open(filePath, 'w') as handle:
+            for n in self.numsExperiencesForDisplay:
+                qValuesPretty, weights, actions, _ = self.runAgent(moduleDict, n)
+                handle.write(self.prettyValueSolutionString('weights_k_%d' % n, pp.pformat(weights)))
+                for action in actions:
+                    handle.write(self.prettyValueSolutionString('q_values_k_%d_action_%s' % (n, action), qValuesPretty[action]))
+        return True
+
+    def runAgent(self, moduleDict, numExperiences):
+        agent = moduleDict['qlearningAgents'].ApproximateQAgent(extractor=self.extractor, **self.opts)
+        states = filter(lambda state : len(self.grid.getPossibleActions(state)) > 0, self.grid.getStates())
+        states.sort()
+        randObj = FixedRandom().random
+        # choose a random start state and a random possible action from that state
+        # get the next state and reward from the transition function
+        lastExperience = None
+        for i in range(numExperiences):
+            startState = randObj.choice(states)
+            action = randObj.choice(self.grid.getPossibleActions(startState))
+            (endState, reward) = self.env.getRandomNextState(startState, action, randObj=randObj)
+            lastExperience = (startState, action, endState, reward)
+            agent.update(*lastExperience)
+        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
+        qValues = {}
+        weights = agent.getWeights()
+        for state in states:
+            possibleActions = self.grid.getPossibleActions(state)
+            for action in actions:
+                if not qValues.has_key(action):
+                    qValues[action] = {}
+                if action in possibleActions:
+                    qValues[action][state] = agent.getQValue(state, action)
+                else:
+                    qValues[action][state] = None
+        qValuesPretty = {}
+        for action in actions:
+            qValuesPretty[action] = self.prettyValues(qValues[action])
+        return (qValuesPretty, weights, actions, lastExperience)
+
+    def prettyPrint(self, elements, formatString):
+        pretty = ''
+        states = self.grid.getStates()
+        for ybar in range(self.grid.grid.height):
+            y = self.grid.grid.height-1-ybar
+            row = []
+            for x in range(self.grid.grid.width):
+                if (x, y) in states:
+                    value = elements[(x, y)]
+                    if value is None:
+                        row.append('   illegal')
+                    else:
+                        row.append(formatString.format(elements[(x,y)]))
+                else:
+                    row.append('_' * 10)
+            pretty += '        %s\n' % ("   ".join(row), )
+        pretty += '\n'
+        return pretty
+
+    def prettyValues(self, values):
+        return self.prettyPrint(values, '{0:10.4f}')
+
+    def prettyPolicy(self, policy):
+        return self.prettyPrint(policy, '{0:10s}')
+
+    def prettyValueSolutionString(self, name, pretty):
+        return '%s: """\n%s\n"""\n\n' % (name, pretty.rstrip())
+
+    def comparePrettyValues(self, aPretty, bPretty, tolerance=0.01):
+        aList = self.parsePrettyValues(aPretty)
+        bList = self.parsePrettyValues(bPretty)
+        if len(aList) != len(bList):
+            return False
+        for a, b in zip(aList, bList):
+            try:
+                aNum = float(a)
+                bNum = float(b)
+                # error = abs((aNum - bNum) / ((aNum + bNum) / 2.0))
+                error = abs(aNum - bNum)
+                if error > tolerance:
+                    return False
+            except ValueError:
+                if a.strip() != b.strip():
+                    return False
+        return True
+
+    def parsePrettyValues(self, pretty):
+        values = pretty.split()
+        return values
+
+
+class QLearningTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(QLearningTest, self).__init__(question, testDict)
+        self.discount = float(testDict['discount'])
+        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
+        if 'noise' in testDict: self.grid.setNoise(float(testDict['noise']))
+        if 'livingReward' in testDict: self.grid.setLivingReward(float(testDict['livingReward']))
+        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
+        self.env = gridworld.GridworldEnvironment(self.grid)
+        self.epsilon = float(testDict['epsilon'])
+        self.learningRate = float(testDict['learningRate'])
+        self.opts = {'actionFn': self.env.getPossibleActions, 'epsilon': self.epsilon, 'gamma': self.discount, 'alpha': self.learningRate}
+        numExperiences = int(testDict['numExperiences'])
+        maxPreExperiences = 10
+        self.numsExperiencesForDisplay = range(min(numExperiences, maxPreExperiences))
+        self.testOutFile = testDict['test_out_file']
+        if maxPreExperiences < numExperiences:
+            self.numsExperiencesForDisplay.append(numExperiences)
+
+    def writeFailureFile(self, string):
+        with open(self.testOutFile, 'w') as handle:
+            handle.write(string)
+
+    def removeFailureFileIfExists(self):
+        if os.path.exists(self.testOutFile):
+            os.remove(self.testOutFile)
+
+    def execute(self, grades, moduleDict, solutionDict):
+        failureOutputFileString = ''
+        failureOutputStdString = ''
+        for n in self.numsExperiencesForDisplay:
+            checkValuesAndPolicy = (n == self.numsExperiencesForDisplay[-1])
+            testPass, stdOutString, fileOutString = self.executeNExperiences(grades, moduleDict, solutionDict, n, checkValuesAndPolicy)
+            failureOutputStdString += stdOutString
+            failureOutputFileString += fileOutString
+            if not testPass:
+                self.addMessage(failureOutputStdString)
+                self.addMessage('For more details to help you debug, see test output file %s\n\n' % self.testOutFile)
+                self.writeFailureFile(failureOutputFileString)
+                return self.testFail(grades)
+        self.removeFailureFileIfExists()
+        return self.testPass(grades)
+
+    def executeNExperiences(self, grades, moduleDict, solutionDict, n, checkValuesAndPolicy):
+        testPass = True
+        valuesPretty, qValuesPretty, actions, policyPretty, lastExperience = self.runAgent(moduleDict, n)
+        stdOutString = ''
+        fileOutString = "==================== Iteration %d ====================\n" % n
+        if lastExperience is not None:
+            fileOutString += "Agent observed the transition (startState = %s, action = %s, endState = %s, reward = %f)\n\n\n" % lastExperience
+        for action in actions:
+            qValuesKey = 'q_values_k_%d_action_%s' % (n, action)
+            qValues = qValuesPretty[action]
+            if self.comparePrettyValues(qValues, solutionDict[qValuesKey]):
+                fileOutString += "Q-Values at iteration %d for action '%s' are correct." % (n, action)
+                fileOutString += "   Student/correct solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, qValues)
+            else:
+                testPass = False
+                outString = "Q-Values at iteration %d for action '%s' are NOT correct." % (n, action)
+                outString += "   Student solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, qValues)
+                outString += "   Correct solution:\n\t%s" % self.prettyValueSolutionString(qValuesKey, solutionDict[qValuesKey])
+                stdOutString += outString
+                fileOutString += outString
+        if checkValuesAndPolicy:
+            if not self.comparePrettyValues(valuesPretty, solutionDict['values']):
+                testPass = False
+                outString = "Values are NOT correct."
+                outString += "   Student solution:\n\t%s" % self.prettyValueSolutionString('values', valuesPretty)
+                outString += "   Correct solution:\n\t%s" % self.prettyValueSolutionString('values', solutionDict['values'])
+                stdOutString += outString
+                fileOutString += outString
+            if not self.comparePrettyValues(policyPretty, solutionDict['policy']):
+                testPass = False
+                outString = "Policy is NOT correct."
+                outString += "   Student solution:\n\t%s" % self.prettyValueSolutionString('policy', policyPretty)
+                outString += "   Correct solution:\n\t%s" % self.prettyValueSolutionString('policy', solutionDict['policy'])
+                stdOutString += outString
+                fileOutString += outString
+        return testPass, stdOutString, fileOutString
+
+    def writeSolution(self, moduleDict, filePath):
+        with open(filePath, 'w') as handle:
+            valuesPretty = ''
+            policyPretty = ''
+            for n in self.numsExperiencesForDisplay:
+                valuesPretty, qValuesPretty, actions, policyPretty, _ = self.runAgent(moduleDict, n)
+                for action in actions:
+                    handle.write(self.prettyValueSolutionString('q_values_k_%d_action_%s' % (n, action), qValuesPretty[action]))
+            handle.write(self.prettyValueSolutionString('values', valuesPretty))
+            handle.write(self.prettyValueSolutionString('policy', policyPretty))
+        return True
+
+    def runAgent(self, moduleDict, numExperiences):
+        agent = moduleDict['qlearningAgents'].QLearningAgent(**self.opts)
+        states = filter(lambda state : len(self.grid.getPossibleActions(state)) > 0, self.grid.getStates())
+        states.sort()
+        randObj = FixedRandom().random
+        # choose a random start state and a random possible action from that state
+        # get the next state and reward from the transition function
+        lastExperience = None
+        for i in range(numExperiences):
+            startState = randObj.choice(states)
+            action = randObj.choice(self.grid.getPossibleActions(startState))
+            (endState, reward) = self.env.getRandomNextState(startState, action, randObj=randObj)
+            lastExperience = (startState, action, endState, reward)
+            agent.update(*lastExperience)
+        actions = list(reduce(lambda a, b: set(a).union(b), [self.grid.getPossibleActions(state) for state in states]))
+        values = {}
+        qValues = {}
+        policy = {}
+        for state in states:
+            values[state] = agent.computeValueFromQValues(state)
+            policy[state] = agent.computeActionFromQValues(state)
+            possibleActions = self.grid.getPossibleActions(state)
+            for action in actions:
+                if not qValues.has_key(action):
+                    qValues[action] = {}
+                if action in possibleActions:
+                    qValues[action][state] = agent.getQValue(state, action)
+                else:
+                    qValues[action][state] = None
+        valuesPretty = self.prettyValues(values)
+        policyPretty = self.prettyPolicy(policy)
+        qValuesPretty = {}
+        for action in actions:
+            qValuesPretty[action] = self.prettyValues(qValues[action])
+        return (valuesPretty, qValuesPretty, actions, policyPretty, lastExperience)
+
+    def prettyPrint(self, elements, formatString):
+        pretty = ''
+        states = self.grid.getStates()
+        for ybar in range(self.grid.grid.height):
+            y = self.grid.grid.height-1-ybar
+            row = []
+            for x in range(self.grid.grid.width):
+                if (x, y) in states:
+                    value = elements[(x, y)]
+                    if value is None:
+                        row.append('   illegal')
+                    else:
+                        row.append(formatString.format(elements[(x,y)]))
+                else:
+                    row.append('_' * 10)
+            pretty += '        %s\n' % ("   ".join(row), )
+        pretty += '\n'
+        return pretty
+
+    def prettyValues(self, values):
+        return self.prettyPrint(values, '{0:10.4f}')
+
+    def prettyPolicy(self, policy):
+        return self.prettyPrint(policy, '{0:10s}')
+
+    def prettyValueSolutionString(self, name, pretty):
+        return '%s: """\n%s\n"""\n\n' % (name, pretty.rstrip())
+
+    def comparePrettyValues(self, aPretty, bPretty, tolerance=0.01):
+        aList = self.parsePrettyValues(aPretty)
+        bList = self.parsePrettyValues(bPretty)
+        if len(aList) != len(bList):
+            return False
+        for a, b in zip(aList, bList):
+            try:
+                aNum = float(a)
+                bNum = float(b)
+                # error = abs((aNum - bNum) / ((aNum + bNum) / 2.0))
+                error = abs(aNum - bNum)
+                if error > tolerance:
+                    return False
+            except ValueError:
+                if a.strip() != b.strip():
+                    return False
+        return True
+
+    def parsePrettyValues(self, pretty):
+        values = pretty.split()
+        return values
+
+
+class EpsilonGreedyTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(EpsilonGreedyTest, self).__init__(question, testDict)
+        self.discount = float(testDict['discount'])
+        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
+        if 'noise' in testDict: self.grid.setNoise(float(testDict['noise']))
+        if 'livingReward' in testDict: self.grid.setLivingReward(float(testDict['livingReward']))
+
+        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
+        self.env = gridworld.GridworldEnvironment(self.grid)
+        self.epsilon = float(testDict['epsilon'])
+        self.learningRate = float(testDict['learningRate'])
+        self.numExperiences = int(testDict['numExperiences'])
+        self.numIterations = int(testDict['iterations'])
+        self.opts = {'actionFn': self.env.getPossibleActions, 'epsilon': self.epsilon, 'gamma': self.discount, 'alpha': self.learningRate}
+
+    def execute(self, grades, moduleDict, solutionDict):
+        if self.testEpsilonGreedy(moduleDict):
+            return self.testPass(grades)
+        else:
+            return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            handle.write('# File intentionally blank.\n')
+        return True
+
+    def runAgent(self, moduleDict):
+        agent = moduleDict['qlearningAgents'].QLearningAgent(**self.opts)
+        states = filter(lambda state : len(self.grid.getPossibleActions(state)) > 0, self.grid.getStates())
+        states.sort()
+        randObj = FixedRandom().random
+        # choose a random start state and a random possible action from that state
+        # get the next state and reward from the transition function
+        for i in range(self.numExperiences):
+            startState = randObj.choice(states)
+            action = randObj.choice(self.grid.getPossibleActions(startState))
+            (endState, reward) = self.env.getRandomNextState(startState, action, randObj=randObj)
+            agent.update(startState, action, endState, reward)
+        return agent
+
+    def testEpsilonGreedy(self, moduleDict, tolerance=0.025):
+        agent = self.runAgent(moduleDict)
+        for state in self.grid.getStates():
+            numLegalActions = len(agent.getLegalActions(state))
+            if numLegalActions <= 1:
+                continue
+            numGreedyChoices = 0
+            optimalAction = agent.computeActionFromQValues(state)
+            for iteration in range(self.numIterations):
+                # assume that their computeActionFromQValues implementation is correct (q4 tests this)
+                if agent.getAction(state) == optimalAction:
+                    numGreedyChoices += 1
+            # e = epsilon, g = # greedy actions, n = numIterations, k = numLegalActions
+            # g = n * [(1-e) + e/k] -> e = (n - g) / (n - n/k)
+            empiricalEpsilonNumerator = self.numIterations - numGreedyChoices
+            empiricalEpsilonDenominator = self.numIterations - self.numIterations / float(numLegalActions)
+            empiricalEpsilon = empiricalEpsilonNumerator / empiricalEpsilonDenominator
+            error = abs(empiricalEpsilon - self.epsilon)
+            if error > tolerance:
+                self.addMessage("Epsilon-greedy action selection is not correct.")
+                self.addMessage("Actual epsilon = %f; student empirical epsilon = %f; error = %f > tolerance = %f" % (self.epsilon, empiricalEpsilon, error, tolerance))
+                return False
+        return True
+
+
+### q8
+class Question8Test(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(Question8Test, self).__init__(question, testDict)
+
+    def execute(self, grades, moduleDict, solutionDict):
+        studentSolution = moduleDict['analysis'].question8()
+        studentSolution = str(studentSolution).strip().lower()
+        hashedSolution = sha1(studentSolution).hexdigest()
+        if hashedSolution == '46729c96bb1e4081fdc81a8ff74b3e5db8fba415':
+            return self.testPass(grades)
+        else:
+            self.addMessage("Solution is not correct.")
+            self.addMessage("   Student solution: %s" % (studentSolution,))
+            return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+        handle.write('# File intentionally blank.\n')
+        handle.close()
+        return True
+
+
+### q7/q8
+### =====
+## Average wins of a pacman agent
+
+class EvalAgentTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(EvalAgentTest, self).__init__(question, testDict)
+        self.pacmanParams = testDict['pacmanParams']
+
+        self.scoreMinimum = int(testDict['scoreMinimum']) if 'scoreMinimum' in testDict else None
+        self.nonTimeoutMinimum = int(testDict['nonTimeoutMinimum']) if 'nonTimeoutMinimum' in testDict else None
+        self.winsMinimum = int(testDict['winsMinimum']) if 'winsMinimum' in testDict else None
+
+        self.scoreThresholds = [int(s) for s in testDict.get('scoreThresholds','').split()]
+        self.nonTimeoutThresholds = [int(s) for s in testDict.get('nonTimeoutThresholds','').split()]
+        self.winsThresholds = [int(s) for s in testDict.get('winsThresholds','').split()]
+
+        self.maxPoints = sum([len(t) for t in [self.scoreThresholds, self.nonTimeoutThresholds, self.winsThresholds]])
+
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.addMessage('Grading agent using command:  python pacman.py %s'% (self.pacmanParams,))
+
+        startTime = time.time()
+        games = pacman.runGames(** pacman.readCommand(self.pacmanParams.split(' ')))
+        totalTime = time.time() - startTime
+        numGames = len(games)
+
+        stats = {'time': totalTime, 'wins': [g.state.isWin() for g in games].count(True),
+                 'games': games, 'scores': [g.state.getScore() for g in games],
+                 'timeouts': [g.agentTimeout for g in games].count(True), 'crashes': [g.agentCrashed for g in games].count(True)}
+
+        averageScore = sum(stats['scores']) / float(len(stats['scores']))
+        nonTimeouts = numGames - stats['timeouts']
+        wins = stats['wins']
+
+        def gradeThreshold(value, minimum, thresholds, name):
+            points = 0
+            passed = (minimum == None) or (value >= minimum)
+            if passed:
+                for t in thresholds:
+                    if value >= t:
+                        points += 1
+            return (passed, points, value, minimum, thresholds, name)
+
+        results = [gradeThreshold(averageScore, self.scoreMinimum, self.scoreThresholds, "average score"),
+                   gradeThreshold(nonTimeouts, self.nonTimeoutMinimum, self.nonTimeoutThresholds, "games not timed out"),
+                   gradeThreshold(wins, self.winsMinimum, self.winsThresholds, "wins")]
+
+        totalPoints = 0
+        for passed, points, value, minimum, thresholds, name in results:
+            if minimum == None and len(thresholds)==0:
+                continue
+
+            # print passed, points, value, minimum, thresholds, name
+            totalPoints += points
+            if not passed:
+                assert points == 0
+                self.addMessage("%s %s (fail: below minimum value %s)" % (value, name, minimum))
+            else:
+                self.addMessage("%s %s (%s of %s points)" % (value, name, points, len(thresholds)))
+
+            if minimum != None:
+                self.addMessage("    Grading scheme:")
+                self.addMessage("     < %s:  fail" % (minimum,))
+                if len(thresholds)==0 or minimum != thresholds[0]:
+                    self.addMessage("    >= %s:  0 points" % (minimum,))
+                for idx, threshold in enumerate(thresholds):
+                    self.addMessage("    >= %s:  %s points" % (threshold, idx+1))
+            elif len(thresholds) > 0:
+                self.addMessage("    Grading scheme:")
+                self.addMessage("     < %s:  0 points" % (thresholds[0],))
+                for idx, threshold in enumerate(thresholds):
+                    self.addMessage("    >= %s:  %s points" % (threshold, idx+1))
+
+        if any([not passed for passed, _, _, _, _, _ in results]):
+            totalPoints = 0
+
+        return self.testPartial(grades, totalPoints, self.maxPoints)
+
+    def writeSolution(self, moduleDict, filePath):
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            handle.write('# File intentionally blank.\n')
+        return True
+
+
+
+
+### q2/q3
+### =====
+## For each parameter setting, compute the optimal policy, see if it satisfies some properties
+
+def followPath(policy, start, numSteps=100):
+    state = start
+    path = []
+    for i in range(numSteps):
+        if state not in policy:
+            break
+        action = policy[state]
+        path.append("(%s,%s)" % state)
+        if action == 'north': nextState = state[0],state[1]+1
+        if action == 'south': nextState = state[0],state[1]-1
+        if action == 'east': nextState = state[0]+1,state[1]
+        if action == 'west': nextState = state[0]-1,state[1]
+        if action == 'exit' or action == None:
+            path.append('TERMINAL_STATE')
+            break
+        state = nextState
+
+    return path
+
+def parseGrid(string):
+    grid = [[entry.strip() for entry in line.split()] for line in string.split('\n')]
+    for row in grid:
+        for x, col in enumerate(row):
+            try:
+                col = int(col)
+            except:
+                pass
+            if col == "_":
+                col = ' '
+            row[x] = col
+    return gridworld.makeGrid(grid)
+
+
+def computePolicy(moduleDict, grid, discount):
+    valueIterator = moduleDict['valueIterationAgents'].ValueIterationAgent(grid, discount=discount)
+    policy = {}
+    for state in grid.getStates():
+        policy[state] = valueIterator.computeActionFromValues(state)
+    return policy
+
+
+
+class GridPolicyTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(GridPolicyTest, self).__init__(question, testDict)
+
+        # Function in module in analysis that returns (discount, noise)
+        self.parameterFn = testDict['parameterFn']
+        self.question2 = testDict.get('question2', 'false').lower() == 'true'
+
+        # GridWorld specification
+        #    _ is empty space
+        #    numbers are terminal states with that value
+        #    # is a wall
+        #    S is a start state
+        #
+        self.gridText = testDict['grid']
+        self.grid = gridworld.Gridworld(parseGrid(testDict['grid']))
+        self.gridName = testDict['gridName']
+
+        # Policy specification
+        #    _                  policy choice not checked
+        #    N, E, S, W policy action must be north, east, south, west
+        #
+        self.policy = parseGrid(testDict['policy'])
+
+        # State the most probable path must visit
+        #    (x,y) for a particular location; (0,0) is bottom left
+        #    terminal for the terminal state
+        self.pathVisits = testDict.get('pathVisits', None)
+
+        # State the most probable path must not visit
+        #    (x,y) for a particular location; (0,0) is bottom left
+        #    terminal for the terminal state
+        self.pathNotVisits = testDict.get('pathNotVisits', None)
+
+
+    def execute(self, grades, moduleDict, solutionDict):
+        if not hasattr(moduleDict['analysis'], self.parameterFn):
+            self.addMessage('Method not implemented: analysis.%s' % (self.parameterFn,))
+            return self.testFail(grades)
+
+        result = getattr(moduleDict['analysis'], self.parameterFn)()
+
+        if type(result) == str and result.lower()[0:3] == "not":
+            self.addMessage('Actually, it is possible!')
+            return self.testFail(grades)
+
+        if self.question2:
+            livingReward = None
+            try:
+                discount, noise = result
+                discount = float(discount)
+                noise = float(noise)
+            except:
+                self.addMessage('Did not return a (discount, noise) pair; instead analysis.%s returned: %s' % (self.parameterFn, result))
+                return self.testFail(grades)
+            if discount != 0.9 and noise != 0.2:
+                self.addMessage('Must change either the discount or the noise, not both. Returned (discount, noise) = %s' % (result,))
+                return self.testFail(grades)
+        else:
+            try:
+                discount, noise, livingReward = result
+                discount = float(discount)
+                noise = float(noise)
+                livingReward = float(livingReward)
+            except:
+                self.addMessage('Did not return a (discount, noise, living reward) triple; instead analysis.%s returned: %s' % (self.parameterFn, result))
+                return self.testFail(grades)
+
+        self.grid.setNoise(noise)
+        if livingReward != None:
+            self.grid.setLivingReward(livingReward)
+
+        start = self.grid.getStartState()
+        policy = computePolicy(moduleDict, self.grid, discount)
+
+        ## check policy
+        actionMap = {'N': 'north', 'E': 'east', 'S': 'south', 'W': 'west', 'X': 'exit'}
+        width, height = self.policy.width, self.policy.height
+        policyPassed = True
+        for x in range(width):
+            for y in range(height):
+                if self.policy[x][y] in actionMap and policy[(x,y)] != actionMap[self.policy[x][y]]:
+                    differPoint = (x,y)
+                    policyPassed = False
+
+        if not policyPassed:
+            self.addMessage('Policy not correct.')
+            self.addMessage('    Student policy at %s: %s' % (differPoint, policy[differPoint]))
+            self.addMessage('    Correct policy at %s: %s' % (differPoint, actionMap[self.policy[differPoint[0]][differPoint[1]]]))
+            self.addMessage('    Student policy:')
+            self.printPolicy(policy, False)
+            self.addMessage("        Legend:  N,S,E,W at states which move north etc, X at states which exit,")
+            self.addMessage("                 . at states where the policy is not defined (e.g. walls)")
+            self.addMessage('    Correct policy specification:')
+            self.printPolicy(self.policy, True)
+            self.addMessage("        Legend:  N,S,E,W for states in which the student policy must move north etc,")
+            self.addMessage("                 _ for states where it doesn't matter what the student policy does.")
+            self.printGridworld()
+            return self.testFail(grades)
+
+        ## check path
+        path = followPath(policy, self.grid.getStartState())
+
+        if self.pathVisits != None and self.pathVisits not in path:
+            self.addMessage('Policy does not visit state %s when moving without noise.' % (self.pathVisits,))
+            self.addMessage('    States visited: %s' % (path,))
+            self.addMessage('    Student policy:')
+            self.printPolicy(policy, False)
+            self.addMessage("        Legend:  N,S,E,W at states which move north etc, X at states which exit,")
+            self.addMessage("                 . at states where policy not defined")
+            self.printGridworld()
+            return self.testFail(grades)
+
+        if self.pathNotVisits != None and self.pathNotVisits in path:
+            self.addMessage('Policy visits state %s when moving without noise.' % (self.pathNotVisits,))
+            self.addMessage('    States visited: %s' % (path,))
+            self.addMessage('    Student policy:')
+            self.printPolicy(policy, False)
+            self.addMessage("        Legend:  N,S,E,W at states which move north etc, X at states which exit,")
+            self.addMessage("                 . at states where policy not defined")
+            self.printGridworld()
+            return self.testFail(grades)
+
+        return self.testPass(grades)
+
+    def printGridworld(self):
+        self.addMessage('    Gridworld:')
+        for line in self.gridText.split('\n'):
+            self.addMessage('     ' + line)
+        self.addMessage('        Legend: # wall, _ empty, S start, numbers terminal states with that reward.')
+
+    def printPolicy(self, policy, policyTypeIsGrid):
+        if policyTypeIsGrid:
+            legend = {'N': 'N', 'E': 'E', 'S': 'S', 'W': 'W', ' ': '_'}
+        else:
+            legend = {'north': 'N', 'east': 'E', 'south': 'S', 'west': 'W', 'exit': 'X', '.': '.', ' ': '_'}
+
+        for ybar in range(self.grid.grid.height):
+            y = self.grid.grid.height-1-ybar
+            if policyTypeIsGrid:
+                self.addMessage("        %s" % ("    ".join([legend[policy[x][y]] for x in range(self.grid.grid.width)]),))
+            else:
+                self.addMessage("        %s" % ("    ".join([legend[policy.get((x,y), '.')]  for x in range(self.grid.grid.width)]),))
+        # for state in sorted(self.grid.getStates()):
+        #     if state != 'TERMINAL_STATE':
+        #         self.addMessage('      (%s,%s) %s' % (state[0], state[1], policy[state]))
+
+
+    def writeSolution(self, moduleDict, filePath):
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            handle.write('# File intentionally blank.\n')
+        return True
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/reinforcementTestClasses.pyc b/cs188-projects-master/P3 Reinforcement Learning/reinforcementTestClasses.pyc
new file mode 100644
index 0000000..3d12eec
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/reinforcementTestClasses.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/testClasses.py b/cs188-projects-master/P3 Reinforcement Learning/testClasses.py
new file mode 100644
index 0000000..6f95533
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/testClasses.py	
@@ -0,0 +1,206 @@
+# testClasses.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# import modules from python standard library
+import inspect
+import re
+import sys
+
+
+# Class which models a question in a project.  Note that questions have a
+# maximum number of points they are worth, and are composed of a series of
+# test cases
+class Question(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def __init__(self, questionDict, display):
+        self.maxPoints = int(questionDict['max_points'])
+        self.testCases = []
+        self.display = display
+
+    def getDisplay(self):
+        return self.display
+
+    def getMaxPoints(self):
+        return self.maxPoints
+
+    # Note that 'thunk' must be a function which accepts a single argument,
+    # namely a 'grading' object
+    def addTestCase(self, testCase, thunk):
+        self.testCases.append((testCase, thunk))
+
+    def execute(self, grades):
+        self.raiseNotDefined()
+
+# Question in which all test cases must be passed in order to receive credit
+class PassAllTestsQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+
+class ExtraCreditPassAllTestsQuestion(Question):
+    def __init__(self, questionDict, display):
+        Question.__init__(self, questionDict, display)
+        self.extraPoints = int(questionDict['extra_points'])
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+            grades.addPoints(self.extraPoints)
+
+# Question in which predict credit is given for test cases with a ``points'' property.
+# All other tests are mandatory and must be passed.
+class HackedPartialCreditQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        grades.assignZeroCredit()
+
+        points = 0
+        passed = True
+        for testCase, f in self.testCases:
+            testResult = f(grades)
+            if "points" in testCase.testDict:
+                if testResult: points += float(testCase.testDict["points"])
+            else:
+                passed = passed and testResult
+
+        ## FIXME: Below terrible hack to match q3's logic
+        if int(points) == self.maxPoints and not passed:
+            grades.assignZeroCredit()
+        else:
+            grades.addPoints(int(points))
+
+
+class Q6PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        results = []
+        for _, f in self.testCases:
+            results.append(f(grades))
+        if False in results:
+            grades.assignZeroCredit()
+
+class PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        for _, f in self.testCases:
+            if not f(grades):
+                grades.assignZeroCredit()
+                grades.fail("Tests failed.")
+                return False
+
+
+
+class NumberPassedQuestion(Question):
+    """Grade is the number of test cases passed."""
+
+    def execute(self, grades):
+        grades.addPoints([f(grades) for _, f in self.testCases].count(True))
+
+
+
+
+
+# Template modeling a generic test case
+class TestCase(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def getPath(self):
+        return self.path
+
+    def __init__(self, question, testDict):
+        self.question = question
+        self.testDict = testDict
+        self.path = testDict['path']
+        self.messages = []
+
+    def __str__(self):
+        self.raiseNotDefined()
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.raiseNotDefined()
+
+    def writeSolution(self, moduleDict, filePath):
+        self.raiseNotDefined()
+        return True
+
+    # Tests should call the following messages for grading
+    # to ensure a uniform format for test output.
+    #
+    # TODO: this is hairy, but we need to fix grading.py's interface
+    # to get a nice hierarchical project - question - test structure,
+    # then these should be moved into Question proper.
+    def testPass(self, grades):
+        grades.addMessage('PASS: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return True
+
+    def testFail(self, grades):
+        grades.addMessage('FAIL: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return False
+
+    # This should really be question level?
+    #
+    def testPartial(self, grades, points, maxPoints):
+        grades.addPoints(points)
+        extraCredit = max(0, points - maxPoints)
+        regularCredit = points - extraCredit
+
+        grades.addMessage('%s: %s (%s of %s points)' % ("PASS" if points >= maxPoints else "FAIL", self.path, regularCredit, maxPoints))
+        if extraCredit > 0:
+            grades.addMessage('EXTRA CREDIT: %s points' % (extraCredit,))
+
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+
+        return True
+
+    def addMessage(self, message):
+        self.messages.extend(message.split('\n'))
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/testClasses.pyc b/cs188-projects-master/P3 Reinforcement Learning/testClasses.pyc
new file mode 100644
index 0000000..cd743a8
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/testClasses.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/testParser.py b/cs188-projects-master/P3 Reinforcement Learning/testParser.py
new file mode 100644
index 0000000..ceedeaf
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/testParser.py	
@@ -0,0 +1,85 @@
+# testParser.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import sys
+
+class TestParser(object):
+
+    def __init__(self, path):
+        # save the path to the test file
+        self.path = path
+
+    def removeComments(self, rawlines):
+        # remove any portion of a line following a '#' symbol
+        fixed_lines = []
+        for l in rawlines:
+            idx = l.find('#')
+            if idx == -1:
+                fixed_lines.append(l)
+            else:
+                fixed_lines.append(l[0:idx])
+        return '\n'.join(fixed_lines)
+
+    def parse(self):
+        # read in the test case and remove comments
+        test = {}
+        with open(self.path) as handle:
+            raw_lines = handle.read().split('\n')
+
+        test_text = self.removeComments(raw_lines)
+        test['__raw_lines__'] = raw_lines
+        test['path'] = self.path
+        test['__emit__'] = []
+        lines = test_text.split('\n')
+        i = 0
+        # read a property in each loop cycle
+        while(i < len(lines)):
+            # skip blank lines
+            if re.match('\A\s*\Z', lines[i]):
+                test['__emit__'].append(("raw", raw_lines[i]))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"([^"]*)"\s*\Z', lines[i])
+            if m:
+                test[m.group(1)] = m.group(2)
+                test['__emit__'].append(("oneline", m.group(1)))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"""\s*\Z', lines[i])
+            if m:
+                msg = []
+                i += 1
+                while(not re.match('\A\s*"""\s*\Z', lines[i])):
+                    msg.append(raw_lines[i])
+                    i += 1
+                test[m.group(1)] = '\n'.join(msg)
+                test['__emit__'].append(("multiline", m.group(1)))
+                i += 1
+                continue
+            print 'error parsing test file: %s' % self.path
+            sys.exit(1)
+        return test
+
+
+def emitTestDict(testDict, handle):
+    for kind, data in testDict['__emit__']:
+        if kind == "raw":
+            handle.write(data + "\n")
+        elif kind == "oneline":
+            handle.write('%s: "%s"\n' % (data, testDict[data]))
+        elif kind == "multiline":
+            handle.write('%s: """\n%s\n"""\n' % (data, testDict[data]))
+        else:
+            raise Exception("Bad __emit__")
diff --git a/cs188-projects-master/P3 Reinforcement Learning/testParser.pyc b/cs188-projects-master/P3 Reinforcement Learning/testParser.pyc
new file mode 100644
index 0000000..65ac651
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/testParser.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/CONFIG
new file mode 100644
index 0000000..d7bd788
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/CONFIG	
@@ -0,0 +1 @@
+order: "q1 q2 q3 q4 q5 q6 q7 q8 q9 q10"
\ No newline at end of file
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/1-tinygrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/1-tinygrid.solution
new file mode 100644
index 0000000..5cbc57f
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/1-tinygrid.solution	
@@ -0,0 +1,410 @@
+values_k_0: """
+            0.0000
+            0.0000
+            0.0000
+"""
+
+q_values_k_0_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+values_k_1: """
+          -10.0000
+            0.0000
+           10.0000
+"""
+
+q_values_k_1_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+values_k_2: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_2_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_2_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+values_k_3: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_3_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_3_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_3_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+values_k_4: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_4_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_4_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_4_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+values_k_5: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_5_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_5_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_5_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+values_k_6: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_6_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_6_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_6_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+values_k_7: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_7_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_7_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_7_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+values_k_8: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_8_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_8_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_8_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+values_k_9: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_9_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_9_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_9_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+values_k_100: """
+          -10.0000
+            5.0000
+           10.0000
+"""
+
+q_values_k_100_action_north: """
+           illegal
+           -5.0000
+           illegal
+"""
+
+q_values_k_100_action_east: """
+           illegal
+            2.5000
+           illegal
+"""
+
+q_values_k_100_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_100_action_south: """
+           illegal
+            5.0000
+           illegal
+"""
+
+q_values_k_100_action_west: """
+           illegal
+            2.5000
+           illegal
+"""
+
+policy: """
+        exit      
+        south     
+        exit
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/1-tinygrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/1-tinygrid.test
new file mode 100644
index 0000000..3c01b59
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/1-tinygrid.test	
@@ -0,0 +1,22 @@
+class: "ValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10
+    S
+   10
+"""
+discount: "0.5"
+noise: "0.0"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/2-tinygrid-noisy.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/2-tinygrid-noisy.solution
new file mode 100644
index 0000000..7ba37ab
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/2-tinygrid-noisy.solution	
@@ -0,0 +1,410 @@
+values_k_0: """
+            0.0000
+            0.0000
+            0.0000
+"""
+
+q_values_k_0_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+values_k_1: """
+          -10.0000
+            0.0000
+           10.0000
+"""
+
+q_values_k_1_action_north: """
+           illegal
+           -5.6250
+           illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal
+            5.6250
+           illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+values_k_2: """
+          -10.0000
+            5.6250
+           10.0000
+"""
+
+q_values_k_2_action_north: """
+           illegal
+           -4.5703
+           illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal
+            3.1641
+           illegal
+"""
+
+q_values_k_2_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal
+            6.6797
+           illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal
+            3.1641
+           illegal
+"""
+
+values_k_3: """
+          -10.0000
+            6.6797
+           10.0000
+"""
+
+q_values_k_3_action_north: """
+           illegal
+           -4.3726
+           illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal
+            3.7573
+           illegal
+"""
+
+q_values_k_3_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_3_action_south: """
+           illegal
+            6.8774
+           illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal
+            3.7573
+           illegal
+"""
+
+values_k_4: """
+          -10.0000
+            6.8774
+           10.0000
+"""
+
+q_values_k_4_action_north: """
+           illegal
+           -4.3355
+           illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal
+            3.8686
+           illegal
+"""
+
+q_values_k_4_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_4_action_south: """
+           illegal
+            6.9145
+           illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal
+            3.8686
+           illegal
+"""
+
+values_k_5: """
+          -10.0000
+            6.9145
+           10.0000
+"""
+
+q_values_k_5_action_north: """
+           illegal
+           -4.3285
+           illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal
+            3.8894
+           illegal
+"""
+
+q_values_k_5_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_5_action_south: """
+           illegal
+            6.9215
+           illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal
+            3.8894
+           illegal
+"""
+
+values_k_6: """
+          -10.0000
+            6.9215
+           10.0000
+"""
+
+q_values_k_6_action_north: """
+           illegal
+           -4.3272
+           illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal
+            3.8933
+           illegal
+"""
+
+q_values_k_6_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_6_action_south: """
+           illegal
+            6.9228
+           illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal
+            3.8933
+           illegal
+"""
+
+values_k_7: """
+          -10.0000
+            6.9228
+           10.0000
+"""
+
+q_values_k_7_action_north: """
+           illegal
+           -4.3270
+           illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal
+            3.8941
+           illegal
+"""
+
+q_values_k_7_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_7_action_south: """
+           illegal
+            6.9230
+           illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal
+            3.8941
+           illegal
+"""
+
+values_k_8: """
+          -10.0000
+            6.9230
+           10.0000
+"""
+
+q_values_k_8_action_north: """
+           illegal
+           -4.3269
+           illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal
+            3.8942
+           illegal
+"""
+
+q_values_k_8_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_8_action_south: """
+           illegal
+            6.9231
+           illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal
+            3.8942
+           illegal
+"""
+
+values_k_9: """
+          -10.0000
+            6.9231
+           10.0000
+"""
+
+q_values_k_9_action_north: """
+           illegal
+           -4.3269
+           illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal
+            3.8942
+           illegal
+"""
+
+q_values_k_9_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_9_action_south: """
+           illegal
+            6.9231
+           illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal
+            3.8942
+           illegal
+"""
+
+values_k_100: """
+          -10.0000
+            6.9231
+           10.0000
+"""
+
+q_values_k_100_action_north: """
+           illegal
+           -4.3269
+           illegal
+"""
+
+q_values_k_100_action_east: """
+           illegal
+            3.8942
+           illegal
+"""
+
+q_values_k_100_action_exit: """
+          -10.0000
+           illegal
+           10.0000
+"""
+
+q_values_k_100_action_south: """
+           illegal
+            6.9231
+           illegal
+"""
+
+q_values_k_100_action_west: """
+           illegal
+            3.8942
+           illegal
+"""
+
+policy: """
+        exit      
+        south     
+        exit
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/2-tinygrid-noisy.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/2-tinygrid-noisy.test
new file mode 100644
index 0000000..edad673
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/2-tinygrid-noisy.test	
@@ -0,0 +1,22 @@
+class: "ValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10
+    S
+   10
+"""
+discount: "0.75"
+noise: "0.25"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/3-bridge.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/3-bridge.solution
new file mode 100644
index 0000000..088c016
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/3-bridge.solution	
@@ -0,0 +1,678 @@
+values_k_0: """
+        __________       0.0000   __________
+            0.0000       0.0000       0.0000
+            0.0000       0.0000       0.0000
+            0.0000       0.0000       0.0000
+            0.0000       0.0000       0.0000
+            0.0000       0.0000       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_0_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_0_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+values_k_1: """
+        __________      10.0000   __________
+         -100.0000       0.0000    -100.0000
+         -100.0000       0.0000    -100.0000
+         -100.0000       0.0000    -100.0000
+         -100.0000       0.0000    -100.0000
+         -100.0000       0.0000    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_1_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -8.5000      illegal
+           illegal      -8.5000      illegal
+           illegal      -8.5000      illegal
+           illegal      -8.5000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_east: """
+        __________      illegal   __________
+           illegal     -76.0750      illegal
+           illegal     -76.5000      illegal
+           illegal     -76.5000      illegal
+           illegal     -76.5000      illegal
+           illegal     -76.4575      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_1_action_south: """
+        __________      illegal   __________
+           illegal      -8.5000      illegal
+           illegal      -8.5000      illegal
+           illegal      -8.5000      illegal
+           illegal      -8.5000      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_west: """
+        __________      illegal   __________
+           illegal     -76.0750      illegal
+           illegal     -76.5000      illegal
+           illegal     -76.5000      illegal
+           illegal     -76.5000      illegal
+           illegal     -76.4575      illegal
+        __________      illegal   __________
+"""
+
+values_k_2: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -8.5000    -100.0000
+         -100.0000      -8.5000    -100.0000
+         -100.0000      -8.5000    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_2_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.0025      illegal
+           illegal     -15.0025      illegal
+           illegal     -15.0025      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_east: """
+        __________      illegal   __________
+           illegal     -76.4363      illegal
+           illegal     -76.8974      illegal
+           illegal     -77.2225      illegal
+           illegal     -77.1900      illegal
+           illegal     -76.8187      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_2_action_south: """
+        __________      illegal   __________
+           illegal     -15.0025      illegal
+           illegal     -15.0025      illegal
+           illegal     -15.0025      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_west: """
+        __________      illegal   __________
+           illegal     -76.4363      illegal
+           illegal     -76.8974      illegal
+           illegal     -77.2225      illegal
+           illegal     -77.1900      illegal
+           illegal     -76.8187      illegal
+        __________      illegal   __________
+"""
+
+values_k_3: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -9.1502    -100.0000
+         -100.0000     -15.0025    -100.0000
+         -100.0000     -14.4173    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_3_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.4999      illegal
+           illegal     -19.9769      illegal
+           illegal     -19.5292      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_east: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1737      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4663      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_3_action_south: """
+        __________      illegal   __________
+           illegal     -15.4999      illegal
+           illegal     -19.9769      illegal
+           illegal     -19.5292      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_west: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1737      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4663      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+values_k_4: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -9.1502    -100.0000
+         -100.0000     -15.4999    -100.0000
+         -100.0000     -14.4173    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_4_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_east: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_4_action_south: """
+        __________      illegal   __________
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_west: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+values_k_5: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -9.1502    -100.0000
+         -100.0000     -15.4999    -100.0000
+         -100.0000     -14.4173    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_5_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_east: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_5_action_south: """
+        __________      illegal   __________
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_west: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+values_k_6: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -9.1502    -100.0000
+         -100.0000     -15.4999    -100.0000
+         -100.0000     -14.4173    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_6_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_east: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_6_action_south: """
+        __________      illegal   __________
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_west: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+values_k_7: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -9.1502    -100.0000
+         -100.0000     -15.4999    -100.0000
+         -100.0000     -14.4173    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_7_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_east: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_7_action_south: """
+        __________      illegal   __________
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_west: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+values_k_8: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -9.1502    -100.0000
+         -100.0000     -15.4999    -100.0000
+         -100.0000     -14.4173    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_8_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_east: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_8_action_south: """
+        __________      illegal   __________
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_west: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+values_k_9: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -9.1502    -100.0000
+         -100.0000     -15.4999    -100.0000
+         -100.0000     -14.4173    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_9_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_east: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_9_action_south: """
+        __________      illegal   __________
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_west: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+values_k_100: """
+        __________      10.0000   __________
+         -100.0000      -0.8500    -100.0000
+         -100.0000      -9.1502    -100.0000
+         -100.0000     -15.4999    -100.0000
+         -100.0000     -14.4173    -100.0000
+         -100.0000      -7.7350    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_100_action_north: """
+        __________      illegal   __________
+           illegal      -0.8500      illegal
+           illegal      -9.1502      illegal
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_100_action_east: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_100_action_exit: """
+        __________      10.0000   __________
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+         -100.0000      illegal    -100.0000
+        __________       1.0000   __________
+"""
+
+q_values_k_100_action_south: """
+        __________      illegal   __________
+           illegal     -15.4999      illegal
+           illegal     -20.3575      illegal
+           illegal     -19.5292      illegal
+           illegal     -14.4173      illegal
+           illegal      -7.7350      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_100_action_west: """
+        __________      illegal   __________
+           illegal     -76.4639      illegal
+           illegal     -77.1949      illegal
+           illegal     -77.5016      illegal
+           illegal     -77.4875      illegal
+           illegal     -77.0702      illegal
+        __________      illegal   __________
+"""
+
+policy: """
+        __________   exit         __________
+        exit         north        exit      
+        exit         north        exit      
+        exit         north        exit      
+        exit         south        exit      
+        exit         south        exit      
+        __________   exit         __________
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/3-bridge.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/3-bridge.test
new file mode 100644
index 0000000..0ae8fcf
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/3-bridge.test	
@@ -0,0 +1,27 @@
+class: "ValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+    #   10    #
+ -100    _ -100
+ -100    _ -100
+ -100    _ -100
+ -100    _ -100
+ -100    S -100
+    #    1    #
+"""
+gridName: "bridgeGrid"
+discount: "0.85"
+noise: "0.1"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "500"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/4-discountgrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/4-discountgrid.solution
new file mode 100644
index 0000000..a7aff8c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/4-discountgrid.solution	
@@ -0,0 +1,544 @@
+values_k_0: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000       0.0000   __________       0.0000       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000       0.0000   __________   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+values_k_1: """
+          -10.0000       0.0000      10.0000       0.0000       0.0000
+          -10.0000       0.0000   __________       0.0000       0.0000
+          -10.0000       0.0000       1.0000       0.0000       0.0000
+          -10.0000       0.0000   __________   __________       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_north: """
+           illegal       0.0000      illegal       0.9000       0.0000
+           illegal      -0.9000   __________       0.0000       0.0000
+           illegal      -0.8100      illegal       0.0900       0.0000
+           illegal      -0.9000   __________   __________       0.0000
+           illegal      -0.9000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_east: """
+           illegal       7.2000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.7200      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_south: """
+           illegal       0.0000      illegal       0.9000       0.0000
+           illegal      -0.9000   __________       0.0000       0.0000
+           illegal      -0.8100      illegal       0.0900       0.0000
+           illegal      -0.9000   __________   __________       0.0000
+           illegal      -0.9000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_west: """
+           illegal      -7.2000      illegal       7.2000       0.0000
+           illegal      -7.2000   __________       0.0000       0.0000
+           illegal      -7.2000      illegal       0.7200       0.0000
+           illegal      -7.2000   __________   __________       0.0000
+           illegal      -7.2000       0.0000       0.0000       0.0000
+"""
+
+values_k_2: """
+          -10.0000       7.2000      10.0000       7.2000       0.0000
+          -10.0000       0.0000   __________       0.0000       0.0000
+          -10.0000       0.7200       1.0000       0.7200       0.0000
+          -10.0000       0.0000   __________   __________       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_north: """
+           illegal       5.1840      illegal       6.0840       0.6480
+           illegal       4.2840   __________       5.1840       0.0000
+           illegal      -0.8100      illegal       0.0900       0.0648
+           illegal      -0.3816   __________   __________       0.0000
+           illegal      -0.9000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_east: """
+           illegal       7.8480      illegal       0.6480       0.0000
+           illegal       0.7128   __________       0.7128       0.0000
+           illegal       0.7200      illegal       0.0648       0.0000
+           illegal       0.0648   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_south: """
+           illegal       0.0000      illegal       0.9000       0.6480
+           illegal      -0.3816   __________       0.5184       0.0000
+           illegal      -0.8100      illegal       0.6084       0.0648
+           illegal      -0.9000   __________   __________       0.0000
+           illegal      -0.9000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_west: """
+           illegal      -6.5520      illegal       7.8480       5.1840
+           illegal      -6.4872   __________       0.7128       0.0000
+           illegal      -7.2000      illegal       0.7848       0.5184
+           illegal      -7.1352   __________   __________       0.0000
+           illegal      -7.2000       0.0000       0.0000       0.0000
+"""
+
+values_k_3: """
+          -10.0000       7.8480      10.0000       7.8480       5.1840
+          -10.0000       4.2840   __________       5.1840       0.0000
+          -10.0000       0.7200       1.0000       0.7848       0.5184
+          -10.0000       0.0648   __________   __________       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_north: """
+           illegal       5.6506      illegal       7.0171       4.9054
+           illegal       5.1361   __________       6.1171       4.1990
+           illegal       2.2745      illegal       3.8691       0.1173
+           illegal      -0.3758   __________   __________       0.3732
+           illegal      -0.8533       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_east: """
+           illegal       8.2919      illegal       4.9054       4.1990
+           illegal       3.8556   __________       0.7770       0.5132
+           illegal       1.1114      illegal       0.9104       0.3732
+           illegal       0.1115   __________   __________       0.0467
+           illegal       0.0058       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_south: """
+           illegal       3.0845      illegal       5.0990       1.1729
+           illegal       0.0040   __________       1.0316       0.8398
+           illegal      -0.7633      illegal       0.7017       0.1173
+           illegal      -0.8942   __________   __________       0.0000
+           illegal      -0.9000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_west: """
+           illegal      -6.1081      illegal       8.3729       6.1171
+           illegal      -6.4289   __________       4.5094       4.2457
+           illegal      -6.8086      illegal       1.2572       0.5651
+           illegal      -7.1352   __________   __________       0.0467
+           illegal      -7.1942       0.0000       0.0000       0.0000
+"""
+
+values_k_4: """
+          -10.0000       8.2919      10.0000       8.3729       6.1171
+          -10.0000       5.1361   __________       6.1171       4.2457
+          -10.0000       2.2745       1.0000       3.8691       0.5651
+          -10.0000       0.1115   __________   __________       0.3732
+          -10.0000       0.0058       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_north: """
+           illegal       5.9702      illegal       7.4790       5.7084
+           illegal       5.5324   __________       6.9611       5.3370
+           illegal       2.8880      illegal       4.5452       3.4560
+           illegal       0.7477   __________   __________       0.4740
+           illegal      -0.8198       0.0005       0.0000       0.2687
+"""
+
+q_values_k_4_action_east: """
+           illegal       8.4085      illegal       5.7084       5.3370
+           illegal       4.6490   __________       4.1587       3.6583
+           illegal       1.1923      illegal       1.3056       0.8225
+           illegal       0.2855   __________   __________       0.3196
+           illegal       0.0106       0.0000       0.0000       0.0336
+"""
+
+q_values_k_4_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_south: """
+           illegal       3.6980      illegal       5.8549       4.3610
+           illegal       1.1999   __________       3.7184       1.3395
+           illegal      -0.7298      illegal       2.9266       0.6678
+           illegal      -0.8858   __________   __________       0.0672
+           illegal      -0.8958       0.0005       0.0000       0.0000
+"""
+
+q_values_k_4_action_west: """
+           illegal      -5.9915      illegal       8.5041       6.9611
+           illegal      -6.2490   __________       5.5061       5.0057
+           illegal      -6.7277      illegal       1.6188       3.2015
+           illegal      -6.9948   __________   __________       0.3196
+           illegal      -7.1894       0.0042       0.0000       0.0336
+"""
+
+values_k_5: """
+          -10.0000       8.4085      10.0000       8.5041       6.9611
+          -10.0000       5.5324   __________       6.9611       5.3370
+          -10.0000       2.8880       1.0000       4.5452       3.4560
+          -10.0000       0.7477   __________   __________       0.4740
+          -10.0000       0.0106       0.0042       0.0000       0.2687
+"""
+
+q_values_k_5_action_north: """
+           illegal       6.0541      illegal       7.6495       6.4039
+           illegal       5.6521   __________       7.2298       6.1188
+           illegal       3.1733      illegal       5.4130       4.5627
+           illegal       1.2467   __________   __________       2.5736
+           illegal      -0.3613       0.0040       0.0246       0.3655
+"""
+
+q_values_k_5_action_east: """
+           illegal       8.4547      illegal       6.4039       6.1188
+           illegal       5.0000   __________       5.0171       4.7802
+           illegal       1.2852      illegal       3.5239       3.0113
+           illegal       0.7992   __________   __________       0.6765
+           illegal       0.0713       0.0008       0.1935       0.2603
+"""
+
+q_values_k_5_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_south: """
+           illegal       3.9833      illegal       6.5385       5.2345
+           illegal       1.6773   __________       4.3794       3.5951
+           illegal      -0.2717      illegal       3.6736       1.0614
+           illegal      -0.8251   __________   __________       0.2788
+           illegal      -0.8920       0.0040       0.0246       0.2177
+"""
+
+q_values_k_5_action_west: """
+           illegal      -5.9453      illegal       8.5919       7.2298
+           illegal      -6.1833   __________       6.1864       5.9496
+           illegal      -6.6348      illegal       1.7556       3.7955
+           illegal      -6.9391   __________   __________       0.6765
+           illegal      -7.1318       0.0084       0.0030       0.0668
+"""
+
+values_k_6: """
+          -10.0000       8.4547      10.0000       8.5919       7.2298
+          -10.0000       5.6521   __________       7.2298       6.1188
+          -10.0000       3.1733       1.0000       5.4130       4.5627
+          -10.0000       1.2467   __________   __________       2.5736
+          -10.0000       0.0713       0.0084       0.1935       0.3655
+"""
+
+q_values_k_6_action_north: """
+           illegal       6.0874      illegal       7.7368       6.6294
+           illegal       5.6961   __________       7.3875       6.4068
+           illegal       3.2595      illegal       5.7061       5.3034
+           illegal       1.4970   __________   __________       3.7484
+           illegal      -0.0017       0.0298       0.1730       1.9033
+"""
+
+q_values_k_6_action_east: """
+           illegal       8.4696      illegal       6.6294       6.4068
+           illegal       5.1160   __________       5.6660       5.4669
+           illegal       1.3409      illegal       4.4230       4.0675
+           illegal       1.1896   __________   __________       2.2966
+           illegal       0.1246       0.1408       0.2980       0.5277
+"""
+
+q_values_k_6_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_south: """
+           illegal       4.0695      illegal       6.7561       5.8295
+           illegal       1.8935   __________       5.0988       4.4865
+           illegal       0.0876      illegal       4.3980       2.7508
+           illegal      -0.7365   __________   __________       0.7264
+           illegal      -0.8479       0.0298       0.1730       0.3135
+"""
+
+q_values_k_6_action_west: """
+           illegal      -5.9304      illegal       8.6239       7.3875
+           illegal      -6.1535   __________       6.4659       6.2668
+           illegal      -6.5791      illegal       1.8579       4.6797
+           illegal      -6.9080   __________   __________       2.2966
+           illegal      -7.0814       0.0528       0.0408       0.4038
+"""
+
+values_k_7: """
+          -10.0000       8.4696      10.0000       8.6239       7.3875
+          -10.0000       5.6961   __________       7.3875       6.4068
+          -10.0000       3.2595       1.0000       5.7061       5.3034
+          -10.0000       1.4970   __________   __________       3.7484
+          -10.0000       0.1246       0.1408       0.2980       1.9033
+"""
+
+q_values_k_7_action_north: """
+           illegal       6.0981      illegal       7.7741       6.7600
+           illegal       5.7108   __________       7.4507       6.5605
+           illegal       3.2912      illegal       5.8863       5.6038
+           illegal       1.5816   __________   __________       4.4932
+           illegal       0.1905       0.1394       0.3985       2.8970
+"""
+
+q_values_k_7_action_east: """
+           illegal       8.4749      illegal       6.7600       6.5605
+           illegal       5.1568   __________       5.9026       5.7551
+           illegal       1.3674      illegal       4.9969       4.7324
+           illegal       1.3824   __________   __________       3.3475
+           illegal       0.2473       0.2399       1.4240       1.8790
+"""
+
+q_values_k_7_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_south: """
+           illegal       4.1012      illegal       6.8839       6.0539
+           illegal       1.9595   __________       5.3499       5.0599
+           illegal       0.2678      illegal       4.6757       3.6897
+           illegal      -0.6755   __________   __________       2.0451
+           illegal      -0.7976       0.1394       0.3985       1.5685
+"""
+
+q_values_k_7_action_west: """
+           illegal      -5.9251      illegal       8.6410       7.4507
+           illegal      -6.1444   __________       6.6087       6.4612
+           illegal      -6.5526      illegal       1.8984       5.0224
+           illegal      -6.8954   __________   __________       3.3475
+           illegal      -7.0541       0.1151       0.1550       0.7232
+"""
+
+values_k_8: """
+          -10.0000       8.4749      10.0000       8.6410       7.4507
+          -10.0000       5.7108   __________       7.4507       6.5605
+          -10.0000       3.2912       1.0000       5.8863       5.6038
+          -10.0000       1.5816   __________   __________       4.4932
+          -10.0000       0.2473       0.2399       1.4240       2.8970
+"""
+
+q_values_k_8_action_north: """
+           illegal       6.1019      illegal       7.7921       6.8128
+           illegal       5.7159   __________       7.4826       6.6255
+           illegal       3.3017      illegal       5.9589       5.7577
+           illegal       1.6120   __________   __________       4.8435
+           illegal       0.2603       0.3231       1.3076       3.6240
+"""
+
+q_values_k_8_action_east: """
+           illegal       8.4767      illegal       6.8128       6.6255
+           illegal       5.1707   __________       6.0310       5.8985
+           illegal       1.3763      illegal       5.2350       5.0295
+           illegal       1.4572   __________   __________       4.0001
+           illegal       0.3373       1.0685       2.3421       2.7509
+"""
+
+q_values_k_8_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_south: """
+           illegal       4.1117      illegal       6.9351       6.1718
+           illegal       1.9836   __________       5.4992       5.2957
+           illegal       0.3287      illegal       4.8325       4.2692
+           illegal      -0.5796   __________   __________       2.8946
+           illegal      -0.7003       0.3231       1.3076       2.4747
+"""
+
+q_values_k_8_action_west: """
+           illegal      -5.9233      illegal       8.6483       7.4826
+           illegal      -6.1411   __________       6.6720       6.5394
+           illegal      -6.5437      illegal       1.9203       5.2330
+           illegal      -6.8815   __________   __________       4.0001
+           illegal      -7.0354       0.2213       0.4290       1.6904
+"""
+
+values_k_9: """
+          -10.0000       8.4767      10.0000       8.6483       7.4826
+          -10.0000       5.7159   __________       7.4826       6.6255
+          -10.0000       3.3017       1.0000       5.9589       5.7577
+          -10.0000       1.6120   __________   __________       4.8435
+          -10.0000       0.3373       1.0685       2.3421       3.6240
+"""
+
+q_values_k_9_action_north: """
+           illegal       6.1032      illegal       7.8002       6.8392
+           illegal       5.7177   __________       7.4965       6.6572
+           illegal       3.3055      illegal       5.9956       5.8249
+           illegal       1.6223   __________   __________       5.0174
+           illegal       0.3568       1.0105       2.1087       4.0243
+"""
+
+q_values_k_9_action_east: """
+           illegal       8.4773      illegal       6.8392       6.6572
+           illegal       5.1755   __________       6.0850       5.9620
+           illegal       1.3795      illegal       5.3553       5.1777
+           illegal       1.4881   __________   __________       4.3316
+           illegal       0.9447       1.8787       3.0308       3.3713
+"""
+
+q_values_k_9_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_south: """
+           illegal       4.1155      illegal       6.9609       6.2222
+           illegal       1.9917   __________       5.5601       5.4153
+           illegal       0.3506      illegal       4.8986       4.5418
+           illegal      -0.5121   __________   __________       3.4811
+           illegal      -0.5610       1.0105       2.1087       3.1462
+"""
+
+q_values_k_9_action_west: """
+           illegal      -5.9227      illegal       8.6518       7.4965
+           illegal      -6.1399   __________       6.7021       6.5791
+           illegal      -6.5405      illegal       1.9297       5.3226
+           illegal      -6.8725   __________   __________       4.3316
+           illegal      -7.0246       0.4352       1.1909       2.4484
+"""
+
+values_k_100: """
+          -10.0000       8.4777      10.0000       8.6547       7.5087
+          -10.0000       5.7186   __________       7.5087       6.6836
+          -10.0000       3.3074       1.0000       6.0258       5.8841
+          -10.0000       2.0045   __________   __________       5.1665
+          -10.0000       2.9289       3.4513       3.9306       4.4765
+"""
+
+q_values_k_100_action_north: """
+           illegal       6.1039      illegal       7.8072       6.8610
+           illegal       5.7186   __________       7.5087       6.6836
+           illegal       3.3074      illegal       6.0258       5.8841
+           illegal       1.6617   __________   __________       5.1665
+           illegal       0.8539       3.1023       3.5435       4.4765
+"""
+
+q_values_k_100_action_east: """
+           illegal       8.4777      illegal       6.8610       6.6836
+           illegal       5.1780   __________       6.1334       6.0175
+           illegal       1.4151      illegal       5.4546       5.3030
+           illegal       2.0045   __________   __________       4.6523
+           illegal       2.9289       3.4513       3.9306       4.0910
+"""
+
+q_values_k_100_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+          -10.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_100_action_south: """
+           illegal       4.1174      illegal       6.9820       6.2669
+           illegal       1.9960   __________       5.6159       5.5138
+           illegal       0.6333      illegal       4.9582       4.7918
+           illegal       1.3892   __________   __________       4.1531
+           illegal       1.5194       3.1023       3.5435       3.9797
+"""
+
+q_values_k_100_action_west: """
+           illegal      -5.9223      illegal       8.6547       7.5087
+           illegal      -6.1393   __________       6.7275       6.6116
+           illegal      -6.5049      illegal       1.9381       5.4051
+           illegal      -6.6387   __________   __________       4.6523
+           illegal      -6.7560       2.7300       3.1924       3.6979
+"""
+
+policy: """
+        exit         east         exit         west         west      
+        exit         north        __________   north        north     
+        exit         north        exit         north        north     
+        exit         east         __________   __________   north     
+        exit         east         east         east         north
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/4-discountgrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/4-discountgrid.test
new file mode 100644
index 0000000..13f071b
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/4-discountgrid.test	
@@ -0,0 +1,24 @@
+class: "ValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10    _   10    _    _
+  -10    _    #    _    _
+  -10    _    1    _    _
+  -10    _    #    #    _
+  -10    S    _    _    _
+"""
+discount: "0.9"
+noise: "0.2"
+livingReward: "0.0"
+epsilon: "0.2"
+learningRate: "0.1"
+numExperiences: "3000"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/CONFIG
new file mode 100644
index 0000000..4d90e00
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q1/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PassAllTestsQuestion"
\ No newline at end of file
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/1-tinygrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/1-tinygrid.solution
new file mode 100644
index 0000000..f61a556
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/1-tinygrid.solution	
@@ -0,0 +1,429 @@
+weights_k_0: """
+{((0, 0), 'exit'): 0,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_0_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_exit: """
+            0.0000
+           illegal
+            0.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_1: """
+{((0, 0), 'exit'): 1.0,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_1_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_exit: """
+            0.0000
+           illegal
+            1.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_2: """
+{((0, 0), 'exit'): 1.0,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_2_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_exit: """
+            0.0000
+           illegal
+            1.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_3: """
+{((0, 0), 'exit'): 1.9,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_3_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_exit: """
+            0.0000
+           illegal
+            1.9000
+"""
+
+q_values_k_3_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_4: """
+{((0, 0), 'exit'): 2.71,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_4_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_exit: """
+            0.0000
+           illegal
+            2.7100
+"""
+
+q_values_k_4_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_5: """
+{((0, 0), 'exit'): 2.71,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_5_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_exit: """
+           -1.0000
+           illegal
+            2.7100
+"""
+
+q_values_k_5_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_6: """
+{((0, 0), 'exit'): 3.439,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_6_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_exit: """
+           -1.0000
+           illegal
+            3.4390
+"""
+
+q_values_k_6_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_7: """
+{((0, 0), 'exit'): 3.439,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.17195000000000002,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_7_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_exit: """
+           -1.0000
+           illegal
+            3.4390
+"""
+
+q_values_k_7_action_south: """
+           illegal
+            0.1720
+           illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_8: """
+{((0, 0), 'exit'): 4.0951,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.17195000000000002,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_8_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_exit: """
+           -1.0000
+           illegal
+            4.0951
+"""
+
+q_values_k_8_action_south: """
+           illegal
+            0.1720
+           illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_9: """
+{((0, 0), 'exit'): 4.68559,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.17195000000000002,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_9_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_exit: """
+           -1.0000
+           illegal
+            4.6856
+"""
+
+q_values_k_9_action_south: """
+           illegal
+            0.1720
+           illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_100: """
+{((0, 0), 'exit'): 9.817519963685992,
+ ((0, 1), 'east'): 0.40629236674335106,
+ ((0, 1), 'north'): -0.4534185789984799,
+ ((0, 1), 'south'): 2.126721095524319,
+ ((0, 1), 'west'): 0.39193283364906867,
+ ((0, 2), 'exit'): -9.476652366972639}
+"""
+
+q_values_k_100_action_north: """
+           illegal
+           -0.4534
+           illegal
+"""
+
+q_values_k_100_action_east: """
+           illegal
+            0.4063
+           illegal
+"""
+
+q_values_k_100_action_exit: """
+           -9.4767
+           illegal
+            9.8175
+"""
+
+q_values_k_100_action_south: """
+           illegal
+            2.1267
+           illegal
+"""
+
+q_values_k_100_action_west: """
+           illegal
+            0.3919
+           illegal
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/1-tinygrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/1-tinygrid.test
new file mode 100644
index 0000000..3cd9961
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/1-tinygrid.test	
@@ -0,0 +1,22 @@
+class: "ApproximateQLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10
+    S
+   10
+"""
+discount: "0.5"
+noise: "0.0"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/2-tinygrid-noisy.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/2-tinygrid-noisy.solution
new file mode 100644
index 0000000..800709b
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/2-tinygrid-noisy.solution	
@@ -0,0 +1,429 @@
+weights_k_0: """
+{((0, 0), 'exit'): 0,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_0_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_exit: """
+            0.0000
+           illegal
+            0.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_1: """
+{((0, 0), 'exit'): 1.0,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_1_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_exit: """
+            0.0000
+           illegal
+            1.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_2: """
+{((0, 0), 'exit'): 1.0,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_2_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_exit: """
+            0.0000
+           illegal
+            1.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_3: """
+{((0, 0), 'exit'): 1.9,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_3_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_exit: """
+            0.0000
+           illegal
+            1.9000
+"""
+
+q_values_k_3_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_4: """
+{((0, 0), 'exit'): 2.71,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): 0}
+"""
+
+q_values_k_4_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_exit: """
+            0.0000
+           illegal
+            2.7100
+"""
+
+q_values_k_4_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_5: """
+{((0, 0), 'exit'): 2.71,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_5_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_exit: """
+           -1.0000
+           illegal
+            2.7100
+"""
+
+q_values_k_5_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_6: """
+{((0, 0), 'exit'): 3.439,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.0,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_6_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_exit: """
+           -1.0000
+           illegal
+            3.4390
+"""
+
+q_values_k_6_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_7: """
+{((0, 0), 'exit'): 3.439,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.257925,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_7_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_exit: """
+           -1.0000
+           illegal
+            3.4390
+"""
+
+q_values_k_7_action_south: """
+           illegal
+            0.2579
+           illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_8: """
+{((0, 0), 'exit'): 4.0951,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.257925,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_8_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_exit: """
+           -1.0000
+           illegal
+            4.0951
+"""
+
+q_values_k_8_action_south: """
+           illegal
+            0.2579
+           illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_9: """
+{((0, 0), 'exit'): 4.68559,
+ ((0, 1), 'east'): 0,
+ ((0, 1), 'north'): 0,
+ ((0, 1), 'south'): 0.257925,
+ ((0, 1), 'west'): 0,
+ ((0, 2), 'exit'): -1.0}
+"""
+
+q_values_k_9_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_exit: """
+           -1.0000
+           illegal
+            4.6856
+"""
+
+q_values_k_9_action_south: """
+           illegal
+            0.2579
+           illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+weights_k_100: """
+{((0, 0), 'exit'): 9.817519963685992,
+ ((0, 1), 'east'): 0.9498968104823575,
+ ((0, 1), 'north'): -0.66699795412272,
+ ((0, 1), 'south'): 3.256207905310105,
+ ((0, 1), 'west'): 0.8236280735014627,
+ ((0, 2), 'exit'): -9.476652366972639}
+"""
+
+q_values_k_100_action_north: """
+           illegal
+           -0.6670
+           illegal
+"""
+
+q_values_k_100_action_east: """
+           illegal
+            0.9499
+           illegal
+"""
+
+q_values_k_100_action_exit: """
+           -9.4767
+           illegal
+            9.8175
+"""
+
+q_values_k_100_action_south: """
+           illegal
+            3.2562
+           illegal
+"""
+
+q_values_k_100_action_west: """
+           illegal
+            0.8236
+           illegal
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/2-tinygrid-noisy.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/2-tinygrid-noisy.test
new file mode 100644
index 0000000..16a809c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/2-tinygrid-noisy.test	
@@ -0,0 +1,22 @@
+class: "ApproximateQLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10
+    S
+   10
+"""
+discount: "0.75"
+noise: "0.25"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/3-bridge.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/3-bridge.solution
new file mode 100644
index 0000000..3e12553
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/3-bridge.solution	
@@ -0,0 +1,935 @@
+weights_k_0: """
+{((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((0, 5), 'exit'): 0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_0_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_exit: """
+        __________       0.0000   __________
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_0_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_1: """
+{((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_1_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_1_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_2: """
+{((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0.0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_2_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_2_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_3: """
+{((0, 1), 'exit'): -10.0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0.0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_3_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_3_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_4: """
+{((0, 1), 'exit'): -10.0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): -10.0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0.0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_4_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_4_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_5: """
+{((0, 1), 'exit'): -10.0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): -10.0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0.0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): -10.0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_5_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+            0.0000      illegal     -10.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_5_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_6: """
+{((0, 1), 'exit'): -10.0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): -10.0,
+ ((0, 4), 'exit'): -10.0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0.0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): -10.0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_6_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal     -10.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_6_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_7: """
+{((0, 1), 'exit'): -10.0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): -10.0,
+ ((0, 4), 'exit'): -10.0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0.0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0.0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): -10.0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_7_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal     -10.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_7_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_8: """
+{((0, 1), 'exit'): -10.0,
+ ((0, 2), 'exit'): -10.0,
+ ((0, 3), 'exit'): -10.0,
+ ((0, 4), 'exit'): -10.0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0.0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0.0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): -10.0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_8_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal     -10.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_8_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_9: """
+{((0, 1), 'exit'): -10.0,
+ ((0, 2), 'exit'): -10.0,
+ ((0, 3), 'exit'): -10.0,
+ ((0, 4), 'exit'): -10.0,
+ ((0, 5), 'exit'): -10.0,
+ ((1, 0), 'exit'): 0.1,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0.0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((1, 5), 'east'): 0,
+ ((1, 5), 'north'): 0,
+ ((1, 5), 'south'): 0.0,
+ ((1, 5), 'west'): 0,
+ ((1, 6), 'exit'): 0,
+ ((2, 1), 'exit'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 3), 'exit'): -10.0,
+ ((2, 4), 'exit'): 0,
+ ((2, 5), 'exit'): 0}
+"""
+
+q_values_k_9_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal     -10.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.1000   __________
+"""
+
+q_values_k_9_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+weights_k_500: """
+{((0, 1), 'exit'): -92.82102012308148,
+ ((0, 2), 'exit'): -97.21871610556306,
+ ((0, 3), 'exit'): -89.05810108684878,
+ ((0, 4), 'exit'): -97.74716004550608,
+ ((0, 5), 'exit'): -96.56631617970748,
+ ((1, 0), 'exit'): 0.9576088417247839,
+ ((1, 1), 'east'): -31.68839649871871,
+ ((1, 1), 'north'): -0.5871409700255297,
+ ((1, 1), 'south'): -5.571799344704395,
+ ((1, 1), 'west'): -20.777007017445538,
+ ((1, 2), 'east'): -43.595242197319,
+ ((1, 2), 'north'): -1.264202431807023,
+ ((1, 2), 'south'): -8.401530599975509,
+ ((1, 2), 'west'): -16.283916171605192,
+ ((1, 3), 'east'): -3.6956691,
+ ((1, 3), 'north'): -0.16712710492783758,
+ ((1, 3), 'south'): -3.4722840178579073,
+ ((1, 3), 'west'): -40.58867937480968,
+ ((1, 4), 'east'): -26.553386621338632,
+ ((1, 4), 'north'): -0.799493322153628,
+ ((1, 4), 'south'): -6.727671187497919,
+ ((1, 4), 'west'): -39.06095135014759,
+ ((1, 5), 'east'): -17.067638934181446,
+ ((1, 5), 'north'): -5.864753060887024,
+ ((1, 5), 'south'): -6.83769420759525,
+ ((1, 5), 'west'): -27.062643066307515,
+ ((1, 6), 'exit'): 9.353891811077332,
+ ((2, 1), 'exit'): -97.21871610556306,
+ ((2, 2), 'exit'): -87.84233454094309,
+ ((2, 3), 'exit'): -96.90968456173674,
+ ((2, 4), 'exit'): -94.185026299696,
+ ((2, 5), 'exit'): -96.90968456173674}
+"""
+
+q_values_k_500_action_north: """
+        __________      illegal   __________
+           illegal      -5.8648      illegal
+           illegal      -0.7995      illegal
+           illegal      -0.1671      illegal
+           illegal      -1.2642      illegal
+           illegal      -0.5871      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_500_action_east: """
+        __________      illegal   __________
+           illegal     -17.0676      illegal
+           illegal     -26.5534      illegal
+           illegal      -3.6957      illegal
+           illegal     -43.5952      illegal
+           illegal     -31.6884      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_500_action_exit: """
+        __________       9.3539   __________
+          -96.5663      illegal     -96.9097
+          -97.7472      illegal     -94.1850
+          -89.0581      illegal     -96.9097
+          -97.2187      illegal     -87.8423
+          -92.8210      illegal     -97.2187
+        __________       0.9576   __________
+"""
+
+q_values_k_500_action_south: """
+        __________      illegal   __________
+           illegal      -6.8377      illegal
+           illegal      -6.7277      illegal
+           illegal      -3.4723      illegal
+           illegal      -8.4015      illegal
+           illegal      -5.5718      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_500_action_west: """
+        __________      illegal   __________
+           illegal     -27.0626      illegal
+           illegal     -39.0610      illegal
+           illegal     -40.5887      illegal
+           illegal     -16.2839      illegal
+           illegal     -20.7770      illegal
+        __________      illegal   __________
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/3-bridge.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/3-bridge.test
new file mode 100644
index 0000000..7dca67b
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/3-bridge.test	
@@ -0,0 +1,27 @@
+class: "ApproximateQLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+    #   10    #
+ -100    _ -100
+ -100    _ -100
+ -100    _ -100
+ -100    _ -100
+ -100    S -100
+    #    1    #
+"""
+gridName: "bridgeGrid"
+discount: "0.85"
+noise: "0.1"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "500"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/4-discountgrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/4-discountgrid.solution
new file mode 100644
index 0000000..ddb8bd6
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/4-discountgrid.solution	
@@ -0,0 +1,1210 @@
+weights_k_0: """
+{((0, 0), 'exit'): 0,
+ ((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_0_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_1: """
+{((0, 0), 'exit'): 0,
+ ((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_1_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_2: """
+{((0, 0), 'exit'): 0,
+ ((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0.0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_2_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_3: """
+{((0, 0), 'exit'): -1.0,
+ ((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0.0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_3_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_4: """
+{((0, 0), 'exit'): -1.0,
+ ((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0.0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0.0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_4_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_5: """
+{((0, 0), 'exit'): -1.0,
+ ((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): 0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0.0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0.0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0.0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_5_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_6: """
+{((0, 0), 'exit'): -1.0,
+ ((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): -1.0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0.0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0.0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0.0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_6_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+           -1.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_7: """
+{((0, 0), 'exit'): -1.0,
+ ((0, 1), 'exit'): 0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): -1.0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0.0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0.1,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0.0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0.0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_7_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_7_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_7_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+           -1.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.1000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_7_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_8: """
+{((0, 0), 'exit'): -1.0,
+ ((0, 1), 'exit'): -1.0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): -1.0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0.0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): 0,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0.1,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0.0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0.0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_8_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_8_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_8_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+           -1.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.1000      illegal      illegal
+           -1.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_8_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_9: """
+{((0, 0), 'exit'): -1.0,
+ ((0, 1), 'exit'): -1.0,
+ ((0, 2), 'exit'): 0,
+ ((0, 3), 'exit'): -1.0,
+ ((0, 4), 'exit'): 0,
+ ((1, 0), 'east'): 0.0,
+ ((1, 0), 'north'): 0,
+ ((1, 0), 'south'): 0.0,
+ ((1, 0), 'west'): 0,
+ ((1, 1), 'east'): 0,
+ ((1, 1), 'north'): -0.09000000000000001,
+ ((1, 1), 'south'): 0,
+ ((1, 1), 'west'): 0,
+ ((1, 2), 'east'): 0,
+ ((1, 2), 'north'): 0,
+ ((1, 2), 'south'): 0,
+ ((1, 2), 'west'): 0,
+ ((1, 3), 'east'): 0,
+ ((1, 3), 'north'): 0,
+ ((1, 3), 'south'): 0,
+ ((1, 3), 'west'): 0,
+ ((1, 4), 'east'): 0,
+ ((1, 4), 'north'): 0,
+ ((1, 4), 'south'): 0,
+ ((1, 4), 'west'): 0,
+ ((2, 0), 'east'): 0,
+ ((2, 0), 'north'): 0,
+ ((2, 0), 'south'): 0,
+ ((2, 0), 'west'): 0,
+ ((2, 2), 'exit'): 0.1,
+ ((2, 4), 'exit'): 0,
+ ((3, 0), 'east'): 0,
+ ((3, 0), 'north'): 0,
+ ((3, 0), 'south'): 0.0,
+ ((3, 0), 'west'): 0,
+ ((3, 2), 'east'): 0,
+ ((3, 2), 'north'): 0,
+ ((3, 2), 'south'): 0,
+ ((3, 2), 'west'): 0,
+ ((3, 3), 'east'): 0,
+ ((3, 3), 'north'): 0,
+ ((3, 3), 'south'): 0,
+ ((3, 3), 'west'): 0,
+ ((3, 4), 'east'): 0,
+ ((3, 4), 'north'): 0,
+ ((3, 4), 'south'): 0,
+ ((3, 4), 'west'): 0,
+ ((4, 0), 'east'): 0,
+ ((4, 0), 'north'): 0,
+ ((4, 0), 'south'): 0,
+ ((4, 0), 'west'): 0,
+ ((4, 1), 'east'): 0,
+ ((4, 1), 'north'): 0,
+ ((4, 1), 'south'): 0,
+ ((4, 1), 'west'): 0.0,
+ ((4, 2), 'east'): 0,
+ ((4, 2), 'north'): 0,
+ ((4, 2), 'south'): 0,
+ ((4, 2), 'west'): 0,
+ ((4, 3), 'east'): 0,
+ ((4, 3), 'north'): 0,
+ ((4, 3), 'south'): 0,
+ ((4, 3), 'west'): 0,
+ ((4, 4), 'east'): 0,
+ ((4, 4), 'north'): 0,
+ ((4, 4), 'south'): 0,
+ ((4, 4), 'west'): 0}
+"""
+
+q_values_k_9_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal      -0.0900   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_9_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_9_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+           -1.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.1000      illegal      illegal
+           -1.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_9_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_3000: """
+{((0, 0), 'exit'): -9.999907386128688,
+ ((0, 1), 'exit'): -9.999997424145315,
+ ((0, 2), 'exit'): -9.999960132765212,
+ ((0, 3), 'exit'): -9.999950781191618,
+ ((0, 4), 'exit'): -9.999999718152583,
+ ((1, 0), 'east'): 0.023883944628551798,
+ ((1, 0), 'north'): 0.007345075517907217,
+ ((1, 0), 'south'): -1.8500541605036829,
+ ((1, 0), 'west'): -6.343206820101826,
+ ((1, 1), 'east'): 0.2926773341159188,
+ ((1, 1), 'north'): 0.34229408532424677,
+ ((1, 1), 'south'): -0.5504925565503596,
+ ((1, 1), 'west'): -7.476747986710549,
+ ((1, 2), 'east'): 0.8687488956116186,
+ ((1, 2), 'north'): 1.069417111875237,
+ ((1, 2), 'south'): 0.20934913434979205,
+ ((1, 2), 'west'): -8.039885148007473,
+ ((1, 3), 'east'): 2.0499012629179343,
+ ((1, 3), 'north'): 4.423789087362333,
+ ((1, 3), 'south'): -0.5604917324646312,
+ ((1, 3), 'west'): -5.401323597944641,
+ ((1, 4), 'east'): 8.058415501251869,
+ ((1, 4), 'north'): 4.320461066773469,
+ ((1, 4), 'south'): -0.3521106259982003,
+ ((1, 4), 'west'): -6.200128408737511,
+ ((2, 0), 'east'): 0.009741671398482152,
+ ((2, 0), 'north'): 0.007940007422962705,
+ ((2, 0), 'south'): 0.005998204691157282,
+ ((2, 0), 'west'): 0.017876817897686022,
+ ((2, 2), 'exit'): 0.9999997681730781,
+ ((2, 4), 'exit'): 9.99998874031536,
+ ((3, 0), 'east'): 0.16105276299757887,
+ ((3, 0), 'north'): 0.04837252814060002,
+ ((3, 0), 'south'): 0.05142911717022169,
+ ((3, 0), 'west'): 0.018771554676648216,
+ ((3, 2), 'east'): 1.7398137867471506,
+ ((3, 2), 'north'): 3.686710364480742,
+ ((3, 2), 'south'): 1.5388764706778615,
+ ((3, 2), 'west'): 0.96534651035605,
+ ((3, 3), 'east'): 3.237326922914182,
+ ((3, 3), 'north'): 5.228354896238455,
+ ((3, 3), 'south'): 2.13459124715536,
+ ((3, 3), 'west'): 4.048386126159169,
+ ((3, 4), 'east'): 3.724489705852316,
+ ((3, 4), 'north'): 6.151706012884094,
+ ((3, 4), 'south'): 3.6948394494904564,
+ ((3, 4), 'west'): 7.514601541200661,
+ ((4, 0), 'east'): 0.20513468944645144,
+ ((4, 0), 'north'): 0.37681951125732005,
+ ((4, 0), 'south'): 0.12225019530041295,
+ ((4, 0), 'west'): 0.1027564434880755,
+ ((4, 1), 'east'): 0.6668747131568407,
+ ((4, 1), 'north'): 1.0655192675373433,
+ ((4, 1), 'south'): 0.10056777985567189,
+ ((4, 1), 'west'): 0.3933711247168481,
+ ((4, 2), 'east'): 1.267139958918678,
+ ((4, 2), 'north'): 2.04180345588135,
+ ((4, 2), 'south'): 0.5520994720362629,
+ ((4, 2), 'west'): 1.6080936315813792,
+ ((4, 3), 'east'): 2.174243240311463,
+ ((4, 3), 'north'): 3.5128789267557274,
+ ((4, 3), 'south'): 1.567368624478333,
+ ((4, 3), 'west'): 3.4125636359365155,
+ ((4, 4), 'east'): 3.3947156310730717,
+ ((4, 4), 'north'): 3.809539514332263,
+ ((4, 4), 'south'): 2.9139369998943274,
+ ((4, 4), 'west'): 4.901442747463662}
+"""
+
+q_values_k_3000_action_north: """
+           illegal       4.3205      illegal       6.1517       3.8095
+           illegal       4.4238   __________       5.2284       3.5129
+           illegal       1.0694      illegal       3.6867       2.0418
+           illegal       0.3423   __________   __________       1.0655
+           illegal       0.0073       0.0079       0.0484       0.3768
+"""
+
+q_values_k_3000_action_east: """
+           illegal       8.0584      illegal       3.7245       3.3947
+           illegal       2.0499   __________       3.2373       2.1742
+           illegal       0.8687      illegal       1.7398       1.2671
+           illegal       0.2927   __________   __________       0.6669
+           illegal       0.0239       0.0097       0.1611       0.2051
+"""
+
+q_values_k_3000_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+           -9.9999      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3000_action_south: """
+           illegal      -0.3521      illegal       3.6948       2.9139
+           illegal      -0.5605   __________       2.1346       1.5674
+           illegal       0.2093      illegal       1.5389       0.5521
+           illegal      -0.5505   __________   __________       0.1006
+           illegal      -1.8501       0.0060       0.0514       0.1223
+"""
+
+q_values_k_3000_action_west: """
+           illegal      -6.2001      illegal       7.5146       4.9014
+           illegal      -5.4013   __________       4.0484       3.4126
+           illegal      -8.0399      illegal       0.9653       1.6081
+           illegal      -7.4767   __________   __________       0.3934
+           illegal      -6.3432       0.0179       0.0188       0.1028
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/4-discountgrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/4-discountgrid.test
new file mode 100644
index 0000000..f553ba1
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/4-discountgrid.test	
@@ -0,0 +1,24 @@
+class: "ApproximateQLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10    _   10    _    _
+  -10    _    #    _    _
+  -10    _    1    _    _
+  -10    _    #    #    _
+  -10    S    _    _    _
+"""
+discount: "0.9"
+noise: "0.2"
+livingReward: "0.0"
+epsilon: "0.2"
+learningRate: "0.1"
+numExperiences: "3000"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/5-coord-extractor.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/5-coord-extractor.solution
new file mode 100644
index 0000000..7e529ac
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/5-coord-extractor.solution	
@@ -0,0 +1,880 @@
+weights_k_0: """
+{'action=east': 0,
+ 'action=exit': 0,
+ 'action=north': 0,
+ 'action=south': 0,
+ 'action=west': 0,
+ 'x=0': 0,
+ 'x=1': 0,
+ 'x=2': 0,
+ 'x=3': 0,
+ 'x=4': 0,
+ 'y=0': 0,
+ 'y=1': 0,
+ 'y=2': 0,
+ 'y=3': 0,
+ 'y=4': 0,
+ (0, 0): 0,
+ (0, 1): 0,
+ (0, 2): 0,
+ (0, 3): 0,
+ (0, 4): 0,
+ (1, 0): 0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0,
+ (2, 4): 0,
+ (3, 0): 0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_0_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_1: """
+{'action=east': 0,
+ 'action=exit': 0,
+ 'action=north': 0,
+ 'action=south': 0.0,
+ 'action=west': 0,
+ 'x=0': 0,
+ 'x=1': 0.0,
+ 'x=2': 0,
+ 'x=3': 0,
+ 'x=4': 0,
+ 'y=0': 0,
+ 'y=1': 0.0,
+ 'y=2': 0,
+ 'y=3': 0,
+ 'y=4': 0,
+ (0, 0): 0,
+ (0, 1): 0,
+ (0, 2): 0,
+ (0, 3): 0,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0,
+ (2, 4): 0,
+ (3, 0): 0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_1_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_2: """
+{'action=east': 0,
+ 'action=exit': 0,
+ 'action=north': 0,
+ 'action=south': 0.0,
+ 'action=west': 0,
+ 'x=0': 0,
+ 'x=1': 0.0,
+ 'x=2': 0,
+ 'x=3': 0.0,
+ 'x=4': 0,
+ 'y=0': 0,
+ 'y=1': 0.0,
+ 'y=2': 0,
+ 'y=3': 0.0,
+ 'y=4': 0,
+ (0, 0): 0,
+ (0, 1): 0,
+ (0, 2): 0,
+ (0, 3): 0,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0,
+ (2, 4): 0,
+ (3, 0): 0.0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_2_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_3: """
+{'action=east': 0,
+ 'action=exit': -1.0,
+ 'action=north': 0,
+ 'action=south': 0.0,
+ 'action=west': 0,
+ 'x=0': -1.0,
+ 'x=1': 0.0,
+ 'x=2': 0,
+ 'x=3': 0.0,
+ 'x=4': 0,
+ 'y=0': -1.0,
+ 'y=1': 0.0,
+ 'y=2': 0,
+ 'y=3': 0.0,
+ 'y=4': 0,
+ (0, 0): -1.0,
+ (0, 1): 0,
+ (0, 2): 0,
+ (0, 3): 0,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0,
+ (2, 4): 0,
+ (3, 0): 0.0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_3_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_exit: """
+           -3.0000      illegal      -1.0000      illegal      illegal
+           -3.0000      illegal   __________      illegal      illegal
+           -3.0000      illegal      -1.0000      illegal      illegal
+           -3.0000      illegal   __________   __________      illegal
+           -4.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_4: """
+{'action=east': 0.0,
+ 'action=exit': -1.0,
+ 'action=north': 0,
+ 'action=south': 0.0,
+ 'action=west': 0,
+ 'x=0': -1.0,
+ 'x=1': 0.0,
+ 'x=2': 0,
+ 'x=3': 0.0,
+ 'x=4': 0,
+ 'y=0': -1.0,
+ 'y=1': 0.0,
+ 'y=2': 0,
+ 'y=3': 0.0,
+ 'y=4': 0,
+ (0, 0): -1.0,
+ (0, 1): 0,
+ (0, 2): 0,
+ (0, 3): 0,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0,
+ (2, 4): 0,
+ (3, 0): 0.0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_4_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_exit: """
+           -3.0000      illegal      -1.0000      illegal      illegal
+           -3.0000      illegal   __________      illegal      illegal
+           -3.0000      illegal      -1.0000      illegal      illegal
+           -3.0000      illegal   __________   __________      illegal
+           -4.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_5: """
+{'action=east': 0.0,
+ 'action=exit': -1.0,
+ 'action=north': 0,
+ 'action=south': 0.0,
+ 'action=west': 0.0,
+ 'x=0': -1.0,
+ 'x=1': 0.0,
+ 'x=2': 0,
+ 'x=3': 0.0,
+ 'x=4': 0.0,
+ 'y=0': -1.0,
+ 'y=1': 0.0,
+ 'y=2': 0,
+ 'y=3': 0.0,
+ 'y=4': 0.0,
+ (0, 0): -1.0,
+ (0, 1): 0,
+ (0, 2): 0,
+ (0, 3): 0,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0,
+ (2, 4): 0,
+ (3, 0): 0.0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0.0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_5_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_exit: """
+           -3.0000      illegal      -1.0000      illegal      illegal
+           -3.0000      illegal   __________      illegal      illegal
+           -3.0000      illegal      -1.0000      illegal      illegal
+           -3.0000      illegal   __________   __________      illegal
+           -4.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_6: """
+{'action=east': 0.0,
+ 'action=exit': -1.7000000000000002,
+ 'action=north': 0,
+ 'action=south': 0.0,
+ 'action=west': 0.0,
+ 'x=0': -1.7000000000000002,
+ 'x=1': 0.0,
+ 'x=2': 0,
+ 'x=3': 0.0,
+ 'x=4': 0.0,
+ 'y=0': -1.7000000000000002,
+ 'y=1': 0.0,
+ 'y=2': 0,
+ 'y=3': 0.0,
+ 'y=4': 0.0,
+ (0, 0): -1.0,
+ (0, 1): 0,
+ (0, 2): 0,
+ (0, 3): -0.7000000000000001,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0,
+ (2, 4): 0,
+ (3, 0): 0.0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0.0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_6_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_exit: """
+           -5.1000      illegal      -1.7000      illegal      illegal
+           -5.8000      illegal   __________      illegal      illegal
+           -5.1000      illegal      -1.7000      illegal      illegal
+           -5.1000      illegal   __________   __________      illegal
+           -6.1000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+weights_k_7: """
+{'action=east': 0.0,
+ 'action=exit': -1.4300000000000002,
+ 'action=north': 0,
+ 'action=south': 0.0,
+ 'action=west': 0.0,
+ 'x=0': -1.7000000000000002,
+ 'x=1': 0.0,
+ 'x=2': 0.27,
+ 'x=3': 0.0,
+ 'x=4': 0.0,
+ 'y=0': -1.7000000000000002,
+ 'y=1': 0.0,
+ 'y=2': 0.27,
+ 'y=3': 0.0,
+ 'y=4': 0.0,
+ (0, 0): -1.0,
+ (0, 1): 0,
+ (0, 2): 0,
+ (0, 3): -0.7000000000000001,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0.27,
+ (2, 4): 0,
+ (3, 0): 0.0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0.0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_7_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.5400       0.0000       0.0000
+"""
+
+q_values_k_7_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.5400       0.0000       0.0000
+"""
+
+q_values_k_7_action_exit: """
+           -4.8300      illegal      -0.8900      illegal      illegal
+           -5.5300      illegal   __________      illegal      illegal
+           -4.8300      illegal      -0.6200      illegal      illegal
+           -4.8300      illegal   __________   __________      illegal
+           -5.8300      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.5400       0.0000       0.0000
+"""
+
+q_values_k_7_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.5400       0.0000       0.0000
+"""
+
+weights_k_8: """
+{'action=east': 0.0,
+ 'action=exit': -1.947,
+ 'action=north': 0,
+ 'action=south': 0.0,
+ 'action=west': 0.0,
+ 'x=0': -2.217,
+ 'x=1': 0.0,
+ 'x=2': 0.27,
+ 'x=3': 0.0,
+ 'x=4': 0.0,
+ 'y=0': -2.217,
+ 'y=1': 0.0,
+ 'y=2': 0.27,
+ 'y=3': 0.0,
+ 'y=4': 0.0,
+ (0, 0): -1.0,
+ (0, 1): -0.517,
+ (0, 2): 0,
+ (0, 3): -0.7000000000000001,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): 0,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0.27,
+ (2, 4): 0,
+ (3, 0): 0.0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0.0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_8_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.5400       0.0000       0.0000
+"""
+
+q_values_k_8_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.5400       0.0000       0.0000
+"""
+
+q_values_k_8_action_exit: """
+           -6.3810      illegal      -1.4070      illegal      illegal
+           -7.0810      illegal   __________      illegal      illegal
+           -6.3810      illegal      -1.1370      illegal      illegal
+           -6.8980      illegal   __________   __________      illegal
+           -7.3810      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.5400       0.0000       0.0000
+"""
+
+q_values_k_8_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.5400       0.0000       0.0000
+"""
+
+weights_k_9: """
+{'action=east': 0.0,
+ 'action=exit': -1.947,
+ 'action=north': -0.62082,
+ 'action=south': 0.0,
+ 'action=west': 0.0,
+ 'x=0': -2.217,
+ 'x=1': -0.62082,
+ 'x=2': 0.27,
+ 'x=3': 0.0,
+ 'x=4': 0.0,
+ 'y=0': -2.217,
+ 'y=1': -0.62082,
+ 'y=2': 0.27,
+ 'y=3': 0.0,
+ 'y=4': 0.0,
+ (0, 0): -1.0,
+ (0, 1): -0.517,
+ (0, 2): 0,
+ (0, 3): -0.7000000000000001,
+ (0, 4): 0,
+ (1, 0): 0.0,
+ (1, 1): -0.62082,
+ (1, 2): 0,
+ (1, 3): 0,
+ (1, 4): 0,
+ (2, 0): 0,
+ (2, 2): 0.27,
+ (2, 4): 0,
+ (3, 0): 0.0,
+ (3, 2): 0,
+ (3, 3): 0,
+ (3, 4): 0,
+ (4, 0): 0,
+ (4, 1): 0.0,
+ (4, 2): 0,
+ (4, 3): 0,
+ (4, 4): 0}
+"""
+
+q_values_k_9_action_north: """
+           illegal      -1.8625      illegal      -0.6208      -0.6208
+           illegal      -1.8625   __________      -0.6208      -0.6208
+           illegal      -1.8625      illegal      -0.6208      -0.6208
+           illegal      -2.4833   __________   __________      -0.6208
+           illegal      -1.8625      -0.0808      -0.6208      -0.6208
+"""
+
+q_values_k_9_action_east: """
+           illegal      -1.2416      illegal       0.0000       0.0000
+           illegal      -1.2416   __________       0.0000       0.0000
+           illegal      -1.2416      illegal       0.0000       0.0000
+           illegal      -1.8625   __________   __________       0.0000
+           illegal      -1.2416       0.5400       0.0000       0.0000
+"""
+
+q_values_k_9_action_exit: """
+           -6.3810      illegal      -1.4070      illegal      illegal
+           -7.0810      illegal   __________      illegal      illegal
+           -6.3810      illegal      -1.1370      illegal      illegal
+           -6.8980      illegal   __________   __________      illegal
+           -7.3810      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_south: """
+           illegal      -1.2416      illegal       0.0000       0.0000
+           illegal      -1.2416   __________       0.0000       0.0000
+           illegal      -1.2416      illegal       0.0000       0.0000
+           illegal      -1.8625   __________   __________       0.0000
+           illegal      -1.2416       0.5400       0.0000       0.0000
+"""
+
+q_values_k_9_action_west: """
+           illegal      -1.2416      illegal       0.0000       0.0000
+           illegal      -1.2416   __________       0.0000       0.0000
+           illegal      -1.2416      illegal       0.0000       0.0000
+           illegal      -1.8625   __________   __________       0.0000
+           illegal      -1.2416       0.5400       0.0000       0.0000
+"""
+
+weights_k_3000: """
+{'action=east': 6.719916513522846,
+ 'action=exit': -2.2444981376861555,
+ 'action=north': 4.568574519923728,
+ 'action=south': 3.761510351874819,
+ 'action=west': 1.2828606322891556,
+ 'x=0': -3.604063955849794,
+ 'x=1': 0.6731476152061693,
+ 'x=2': 4.000208353074704,
+ 'x=3': 5.988311380073477,
+ 'x=4': 7.0307604874198235,
+ 'y=0': -3.604063955849794,
+ 'y=1': 0.6731476152061693,
+ 'y=2': 4.000208353074704,
+ 'y=3': 5.988311380073477,
+ 'y=4': 7.0307604874198235,
+ (0, 0): -0.7073688447583666,
+ (0, 1): -0.7542862401704076,
+ (0, 2): -0.7043014501203066,
+ (0, 3): -0.7433344649617668,
+ (0, 4): -0.6947729558389527,
+ (1, 0): 2.364273811399719,
+ (1, 1): -0.2695405704605499,
+ (1, 2): -0.7105979212702271,
+ (1, 3): -1.4866826750327933,
+ (1, 4): 0.7756949705700219,
+ (2, 0): 2.64064253491107,
+ (2, 2): -3.7381118310263166,
+ (2, 4): 5.097677649189953,
+ (3, 0): 2.505262939441149,
+ (3, 2): 0.27218788923837256,
+ (3, 3): 2.2611084206093195,
+ (3, 4): 0.9497521307846304,
+ (4, 0): 1.7330586015291545,
+ (4, 1): 0.980194046153168,
+ (4, 2): 0.78786289128181,
+ (4, 3): 1.493343270762865,
+ (4, 4): 2.0363016776928333}
+"""
+
+q_values_k_3000_action_north: """
+           illegal       6.6906      illegal      17.4949      20.6664
+           illegal       4.4282   __________      18.8063      20.1234
+           illegal       5.2043      illegal      16.8174      19.4180
+           illegal       5.6453   __________   __________      19.6103
+           illegal       8.2791      15.2096      19.0505      20.3632
+"""
+
+q_values_k_3000_action_east: """
+           illegal       8.8419      illegal      19.6463      22.8177
+           illegal       6.5795   __________      20.9576      22.2748
+           illegal       7.3556      illegal      18.9687      21.5693
+           illegal       7.7967   __________   __________      21.7616
+           illegal      10.4305      17.3610      21.2018      22.5145
+"""
+
+q_values_k_3000_action_exit: """
+          -10.1474      illegal      10.8536      illegal      illegal
+          -10.1960      illegal   __________      illegal      illegal
+          -10.1569      illegal       2.0178      illegal      illegal
+          -10.2069      illegal   __________   __________      illegal
+          -10.1600      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3000_action_south: """
+           illegal       5.8835      illegal      16.6879      19.8593
+           illegal       3.6211   __________      17.9992      19.3164
+           illegal       4.3972      illegal      16.0103      18.6109
+           illegal       4.8383   __________   __________      18.8032
+           illegal       7.4721      14.4026      18.2434      19.5561
+"""
+
+q_values_k_3000_action_west: """
+           illegal       3.4049      illegal      14.2092      17.3807
+           illegal       1.1425   __________      15.5206      16.8377
+           illegal       1.9186      illegal      13.5317      16.1322
+           illegal       2.3596   __________   __________      16.3246
+           illegal       4.9934      11.9239      15.7647      17.0774
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/5-coord-extractor.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/5-coord-extractor.test
new file mode 100644
index 0000000..ec06a14
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/5-coord-extractor.test	
@@ -0,0 +1,25 @@
+class: "ApproximateQLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10    _   10    _    _
+  -10    _    #    _    _
+  -10    _    1    _    _
+  -10    _    #    #    _
+  -10    S    _    _    _
+"""
+discount: "0.9"
+noise: "0.2"
+livingReward: "0.0"
+epsilon: "0.2"
+learningRate: "0.1"
+numExperiences: "3000"
+valueIterations: "100"
+iterations: "10000"
+extractor: "CoordinateExtractor"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/CONFIG
new file mode 100644
index 0000000..ad7e38a
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q10/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/1-bridge-grid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/1-bridge-grid.solution
new file mode 100644
index 0000000..ffe6254
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/1-bridge-grid.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q2/1-bridge-grid.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/1-bridge-grid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/1-bridge-grid.test
new file mode 100644
index 0000000..fac6812
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/1-bridge-grid.test	
@@ -0,0 +1,29 @@
+class: "GridPolicyTest"
+
+# Function in module in analysis that returns (discount, noise)
+parameterFn: "question2"
+question2: "true"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   # -100 -100 -100 -100 -100    #
+   1    S    _    _    _    _    10
+   # -100 -100 -100 -100 -100    #   
+"""
+gridName: "bridgeGrid"
+
+# Policy specification
+#    _ 			policy choice not checked
+#    N, E, S, W policy action must be north, east, south, west
+#
+policy: """
+   _    _    _    _    _    _    _
+   _    E    _    _    _    _    _
+   _    _    _    _    _    _    _
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q2/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/1-question-3.1.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/1-question-3.1.solution
new file mode 100644
index 0000000..768ceea
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/1-question-3.1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q3/1-question-3.1.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/1-question-3.1.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/1-question-3.1.test
new file mode 100644
index 0000000..b1737a1
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/1-question-3.1.test	
@@ -0,0 +1,31 @@
+class: "GridPolicyTest"
+
+# Function in module in analysis that returns (discount, noise)
+parameterFn: "question3a"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   _    _    _    _    _  
+   _    #    _    _    _
+   _    #    1    #   10
+   S    _    _    _    _
+ -10  -10  -10  -10  -10
+"""
+gridName: "discountGrid"
+
+# Policy specification
+#    _ 			policy choice not checked
+#    N, E, S, W policy action must be north, east, south, west
+#
+policy: """
+   _    _    _    _    _  
+   _    _    _    _    _  
+   _    _    _    _    _  
+   E    E    N    _    _  
+   _    _    _    _    _  
+"""
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/2-question-3.2.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/2-question-3.2.solution
new file mode 100644
index 0000000..8098e15
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/2-question-3.2.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q3/2-question-3.2.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/2-question-3.2.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/2-question-3.2.test
new file mode 100644
index 0000000..e9a1e0f
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/2-question-3.2.test	
@@ -0,0 +1,31 @@
+class: "GridPolicyTest"
+
+# Function in module in analysis that returns (discount, noise)
+parameterFn: "question3b"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   _    _    _    _    _  
+   _    #    _    _    _
+   _    #    1    #   10
+   S    _    _    _    _
+ -10  -10  -10  -10  -10
+"""
+gridName: "discountGrid"
+
+# Policy specification
+#    _ 			policy choice not checked
+#    N, E, S, W policy action must be north, east, south, west
+#
+policy: """
+   E    E    S    _    _  
+   N    _    S    _    _  
+   N    _    _    _    _  
+   N    _    _    _    _  
+   _    _    _    _    _  
+"""
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/3-question-3.3.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/3-question-3.3.solution
new file mode 100644
index 0000000..a59112e
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/3-question-3.3.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q3/3-question-3.3.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/3-question-3.3.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/3-question-3.3.test
new file mode 100644
index 0000000..39a1490
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/3-question-3.3.test	
@@ -0,0 +1,31 @@
+class: "GridPolicyTest"
+
+# Function in module in analysis that returns (discount, noise)
+parameterFn: "question3c"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   _    _    _    _    _  
+   _    #    _    _    _
+   _    #    1    #   10
+   S    _    _    _    _
+ -10  -10  -10  -10  -10
+"""
+gridName: "discountGrid"
+
+# Policy specification
+#    _ 			policy choice not checked
+#    N, E, S, W policy action must be north, east, south, west
+#
+policy: """
+   _    _    _    _    _  
+   _    _    _    _    _  
+   _    _    _    _    _  
+   E    E    E    E    N  
+   _    _    _    _    _  
+"""
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/4-question-3.4.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/4-question-3.4.solution
new file mode 100644
index 0000000..3af10dc
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/4-question-3.4.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q3/4-question-3.4.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/4-question-3.4.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/4-question-3.4.test
new file mode 100644
index 0000000..6728c59
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/4-question-3.4.test	
@@ -0,0 +1,36 @@
+class: "GridPolicyTest"
+
+# Function in module in analysis that returns (discount, noise)
+parameterFn: "question3d"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   _    _    _    _    _  
+   _    #    _    _    _
+   _    #    1    #   10
+   S    _    _    _    _
+ -10  -10  -10  -10  -10
+"""
+gridName: "discountGrid"
+
+# Policy specification
+#    _ 			policy choice not checked
+#    N, E, S, W policy action must be north, east, south, west
+#
+policy: """
+   _    _    _    _    _  
+   _    _    _    _    _  
+   _    _    _    _    _  
+   N    _    _    _    _  
+   _    _    _    _    _  
+"""
+
+# State the most probable path must visit
+#    (x,y) for a particular location; (0,0) is bottom left
+#    TERMINAL_STATE for the terminal state
+pathVisits: "(4,2)"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/5-question-3.5.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/5-question-3.5.solution
new file mode 100644
index 0000000..54984fa
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/5-question-3.5.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q3/5-question-3.5.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/5-question-3.5.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/5-question-3.5.test
new file mode 100644
index 0000000..7ce8456
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/5-question-3.5.test	
@@ -0,0 +1,36 @@
+class: "GridPolicyTest"
+
+# Function in module in analysis that returns (discount, noise)
+parameterFn: "question3e"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   _    _    _    _    _  
+   _    #    _    _    _
+   _    #    1    #   10
+   S    _    _    _    _
+ -10  -10  -10  -10  -10
+"""
+gridName: "discountGrid"
+
+# Policy specification
+#    _ 			policy choice not checked
+#    N, E, S, W policy action must be north, east, south, west
+#
+policy: """
+   _    _    _    _    _  
+   _    _    _    _    _  
+   _    _    _    _    _  
+   _    _    _    _    _
+   _    _    _    _    _  
+"""
+
+# State the most probable path must not visit
+#    (x,y) for a particular location; (0,0) is bottom left
+#    TERMINAL_STATE for the terminal state
+pathNotVisits: "TERMINAL_STATE"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/CONFIG
new file mode 100644
index 0000000..8a5420a
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q3/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "NumberPassedQuestion"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/1-tinygrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/1-tinygrid.solution
new file mode 100644
index 0000000..49741b7
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/1-tinygrid.solution	
@@ -0,0 +1,276 @@
+values_k_0: """
+            0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal       0.0000      illegal
+"""
+
+values_k_1: """
+            0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal       0.0000      illegal
+"""
+
+values_k_2: """
+           10.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_2_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_3: """
+           10.0000       5.0000       0.0000
+"""
+
+q_values_k_3_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_3_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_3_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_4: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_4_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_4_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_4_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_5: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_5_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_5_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_5_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_6: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_6_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_6_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_6_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_7: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_7_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_7_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_7_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_8: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_8_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_8_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_8_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_9: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_9_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_9_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_9_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_1000: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_1000_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_1000_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_1000_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_1000_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_1000_action_west: """
+           illegal       5.0000      illegal
+"""
+
+policy: """
+        exit         west         exit
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/1-tinygrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/1-tinygrid.test
new file mode 100644
index 0000000..5ff4f51
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/1-tinygrid.test	
@@ -0,0 +1,21 @@
+class: "AsynchronousValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   10    S  -10
+"""
+discount: "0.5"
+noise: "0.0"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "1000"
+iterations: "10000"
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/2-tinygrid-noisy.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/2-tinygrid-noisy.solution
new file mode 100644
index 0000000..63b9aca
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/2-tinygrid-noisy.solution	
@@ -0,0 +1,276 @@
+values_k_0: """
+            0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal       0.0000      illegal
+"""
+
+values_k_1: """
+            0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal       0.0000      illegal
+"""
+
+values_k_2: """
+           10.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_north: """
+           illegal       0.9375      illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_2_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal       0.9375      illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal       5.6250      illegal
+"""
+
+values_k_3: """
+           10.0000       5.6250       0.0000
+"""
+
+q_values_k_3_action_north: """
+           illegal       4.1016      illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal       1.0547      illegal
+"""
+
+q_values_k_3_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_3_action_south: """
+           illegal       4.1016      illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal       6.6797      illegal
+"""
+
+values_k_4: """
+           10.0000       5.6250     -10.0000
+"""
+
+q_values_k_4_action_north: """
+           illegal       3.1641      illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal      -4.5703      illegal
+"""
+
+q_values_k_4_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_4_action_south: """
+           illegal       3.1641      illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal       6.6797      illegal
+"""
+
+values_k_5: """
+           10.0000       5.6250     -10.0000
+"""
+
+q_values_k_5_action_north: """
+           illegal       3.1641      illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal      -4.5703      illegal
+"""
+
+q_values_k_5_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_5_action_south: """
+           illegal       3.1641      illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal       6.6797      illegal
+"""
+
+values_k_6: """
+           10.0000       5.6250     -10.0000
+"""
+
+q_values_k_6_action_north: """
+           illegal       3.1641      illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal      -4.5703      illegal
+"""
+
+q_values_k_6_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_6_action_south: """
+           illegal       3.1641      illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal       6.6797      illegal
+"""
+
+values_k_7: """
+           10.0000       6.6797     -10.0000
+"""
+
+q_values_k_7_action_north: """
+           illegal       3.7573      illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal      -4.3726      illegal
+"""
+
+q_values_k_7_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_7_action_south: """
+           illegal       3.7573      illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal       6.8774      illegal
+"""
+
+values_k_8: """
+           10.0000       6.6797     -10.0000
+"""
+
+q_values_k_8_action_north: """
+           illegal       3.7573      illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal      -4.3726      illegal
+"""
+
+q_values_k_8_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_8_action_south: """
+           illegal       3.7573      illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal       6.8774      illegal
+"""
+
+values_k_9: """
+           10.0000       6.6797     -10.0000
+"""
+
+q_values_k_9_action_north: """
+           illegal       3.7573      illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal      -4.3726      illegal
+"""
+
+q_values_k_9_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_9_action_south: """
+           illegal       3.7573      illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal       6.8774      illegal
+"""
+
+values_k_1000: """
+           10.0000       6.9231     -10.0000
+"""
+
+q_values_k_1000_action_north: """
+           illegal       3.8942      illegal
+"""
+
+q_values_k_1000_action_east: """
+           illegal      -4.3269      illegal
+"""
+
+q_values_k_1000_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_1000_action_south: """
+           illegal       3.8942      illegal
+"""
+
+q_values_k_1000_action_west: """
+           illegal       6.9231      illegal
+"""
+
+policy: """
+        exit         west         exit
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/2-tinygrid-noisy.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/2-tinygrid-noisy.test
new file mode 100644
index 0000000..3ecb4e9
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/2-tinygrid-noisy.test	
@@ -0,0 +1,21 @@
+class: "AsynchronousValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   10    S  -10
+"""
+discount: "0.75"
+noise: "0.25"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "1000"
+iterations: "10000"
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/3-bridge.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/3-bridge.solution
new file mode 100644
index 0000000..2fe469f
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/3-bridge.solution	
@@ -0,0 +1,410 @@
+values_k_0: """
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_0_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_0_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_0_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_0_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_0_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_1: """
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_1_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_1_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_2: """
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+            1.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_2_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0425       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_2_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_2_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_2_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0425       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_2_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.7650       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_3: """
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+            1.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_3_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0425       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_3_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -4.2500       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_3_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_3_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4575       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_3_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -3.4850       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_4: """
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+            1.0000       0.0425       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_4_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0425       0.0018       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_4_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -4.2500       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_4_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_4_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4575       0.0018       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_4_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -3.4850       0.0325       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_5: """
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+            1.0000       0.0425       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_5_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4575       0.0018       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_5_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_5_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_5_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4575       0.0018       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_5_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -7.7350       0.0325       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_6: """
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+            1.0000       0.0425       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_6_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4575       0.0018       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_6_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -4.2500       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_6_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_6_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4575     -76.4982       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_6_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -7.7350      -4.2175       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_7: """
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+            1.0000       0.0425       0.0018       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_7_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4574       0.0018       0.0001       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_7_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.4986      -4.2500       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_7_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_7_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4574     -76.4982       0.0001       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_7_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -7.7350      -4.2175       0.0014       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_8: """
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+            1.0000       0.0425       0.0018       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_8_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4574     -76.4982       0.0001       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_8_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.4986      -8.5000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_8_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_8_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4574     -76.4982       0.0001       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_8_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -7.7350      -8.4675       0.0014       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_9: """
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+            1.0000       0.0425       0.0018       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000    -100.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_9_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4574     -76.4982       0.0001       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_9_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.4986      -8.5000      -4.2500       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_9_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_9_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.4574     -76.4982     -76.4999       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_9_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -7.7350      -8.4675      -4.2486       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_1000: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      -7.7350     -14.4173     -15.4999      -9.1502      -0.8500      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_1000_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -77.0702     -77.4875     -77.5016     -77.1949     -76.4639      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1000_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -19.5292     -20.3575     -15.4999      -9.1502      -0.8500      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1000_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_1000_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -77.0702     -77.4875     -77.5016     -77.1949     -76.4639      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1000_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -7.7350     -14.4173     -19.5292     -20.3575     -15.4999      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+policy: """
+        __________   exit         exit         exit         exit         exit         __________
+        exit         west         west         east         east         east         exit      
+        __________   exit         exit         exit         exit         exit         __________
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/3-bridge.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/3-bridge.test
new file mode 100644
index 0000000..6dd7cde
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/3-bridge.test	
@@ -0,0 +1,24 @@
+class: "AsynchronousValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+    # -100 -100 -100 -100 -100    #
+    1    S    _    _    _    _   10
+    # -100 -100 -100 -100 -100    #
+"""
+gridName: "bridgeGrid"
+discount: "0.85"
+noise: "0.1"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "500"
+valueIterations: "1000"
+iterations: "10000"
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/4-discountgrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/4-discountgrid.solution
new file mode 100644
index 0000000..d4597ff
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/4-discountgrid.solution	
@@ -0,0 +1,544 @@
+values_k_0: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_0_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_1: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_1_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_2: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_2_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_3: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_3_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_4: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_4_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_5: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_5_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_6: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_6_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_7: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000     -10.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_7_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_7_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_8: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000     -10.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_8_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_8_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_9: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000     -10.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_9_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_9_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_1000: """
+            4.4765       5.1665       5.8841       6.6836       7.5087
+            3.9306   __________       6.0258       7.5087       8.6547
+            3.4513   __________       1.0000   __________      10.0000
+            2.9289       2.0045       3.3074       5.7186       8.4777
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_1000_action_north: """
+            4.0910       4.6523       5.3030       6.0175       6.6836
+            3.9306   __________       5.4546       6.1334       6.8610
+            3.4513   __________      illegal   __________      illegal
+            2.9289       2.0045       1.4151       5.1780       8.4777
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1000_action_east: """
+            4.4765       5.1665       5.8841       6.6836       6.8610
+            3.5435   __________       6.0258       7.5087       7.8072
+            3.1023   __________      illegal   __________      illegal
+            0.8539       1.6617       3.3074       5.7186       6.1039
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1000_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_1000_action_south: """
+            3.6979       4.6523       5.4051       6.6116       7.5087
+            3.1924   __________       1.9381       6.7275       8.6547
+            2.7300   __________      illegal   __________      illegal
+           -6.7560      -6.6387      -6.5049      -6.1393      -5.9223
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1000_action_west: """
+            3.9797       4.1531       4.7918       5.5138       6.2669
+            3.5435   __________       4.9582       5.6159       6.9820
+            3.1023   __________      illegal   __________      illegal
+            1.5194       1.3892       0.6333       1.9960       4.1174
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+policy: """
+        east         east         east         east         south     
+        north        __________   east         east         south     
+        north        __________   exit         __________   exit      
+        north        north        east         east         north     
+        exit         exit         exit         exit         exit
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/4-discountgrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/4-discountgrid.test
new file mode 100644
index 0000000..430f950
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/4-discountgrid.test	
@@ -0,0 +1,25 @@
+class: "AsynchronousValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+    _    _    _    _    _
+    _    #    _    _    _
+    _    #    1    #   10
+    S    _    _    _    _
+  -10  -10  -10  -10  -10
+"""
+discount: "0.9"
+noise: "0.2"
+livingReward: "0.0"
+epsilon: "0.2"
+learningRate: "0.1"
+numExperiences: "3000"
+valueIterations: "1000"
+iterations: "10000"
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/CONFIG
new file mode 100644
index 0000000..954d1ce
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q4/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
\ No newline at end of file
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/1-tinygrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/1-tinygrid.solution
new file mode 100644
index 0000000..bbcd82e
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/1-tinygrid.solution	
@@ -0,0 +1,276 @@
+values_k_0: """
+            0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal       0.0000      illegal
+"""
+
+values_k_1: """
+           10.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_2: """
+           10.0000       0.0000     -10.0000
+"""
+
+q_values_k_2_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_2_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_3: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_3_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_3_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_3_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_4: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_4_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_4_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_4_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_5: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_5_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_5_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_5_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_6: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_6_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_6_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_6_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_7: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_7_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_7_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_7_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_8: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_8_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_8_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_8_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_9: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_9_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_9_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_9_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal       5.0000      illegal
+"""
+
+values_k_1000: """
+           10.0000       5.0000     -10.0000
+"""
+
+q_values_k_1000_action_north: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_1000_action_east: """
+           illegal      -5.0000      illegal
+"""
+
+q_values_k_1000_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_1000_action_south: """
+           illegal       2.5000      illegal
+"""
+
+q_values_k_1000_action_west: """
+           illegal       5.0000      illegal
+"""
+
+policy: """
+        exit         west         exit
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/1-tinygrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/1-tinygrid.test
new file mode 100644
index 0000000..00ac170
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/1-tinygrid.test	
@@ -0,0 +1,21 @@
+class: "PrioritizedSweepingValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   10    S  -10
+"""
+discount: "0.5"
+noise: "0.0"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "1000"
+iterations: "10000"
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/2-tinygrid-noisy.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/2-tinygrid-noisy.solution
new file mode 100644
index 0000000..724782b
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/2-tinygrid-noisy.solution	
@@ -0,0 +1,276 @@
+values_k_0: """
+            0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal       0.0000      illegal
+"""
+
+values_k_1: """
+           10.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_north: """
+           illegal       0.9375      illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_1_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal       0.9375      illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal       5.6250      illegal
+"""
+
+values_k_2: """
+           10.0000       0.0000     -10.0000
+"""
+
+q_values_k_2_action_north: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal      -5.6250      illegal
+"""
+
+q_values_k_2_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal       0.0000      illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal       5.6250      illegal
+"""
+
+values_k_3: """
+           10.0000       5.6250     -10.0000
+"""
+
+q_values_k_3_action_north: """
+           illegal       3.1641      illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal      -4.5703      illegal
+"""
+
+q_values_k_3_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_3_action_south: """
+           illegal       3.1641      illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal       6.6797      illegal
+"""
+
+values_k_4: """
+           10.0000       6.6797     -10.0000
+"""
+
+q_values_k_4_action_north: """
+           illegal       3.7573      illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal      -4.3726      illegal
+"""
+
+q_values_k_4_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_4_action_south: """
+           illegal       3.7573      illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal       6.8774      illegal
+"""
+
+values_k_5: """
+           10.0000       6.8774     -10.0000
+"""
+
+q_values_k_5_action_north: """
+           illegal       3.8686      illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal      -4.3355      illegal
+"""
+
+q_values_k_5_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_5_action_south: """
+           illegal       3.8686      illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal       6.9145      illegal
+"""
+
+values_k_6: """
+           10.0000       6.9145     -10.0000
+"""
+
+q_values_k_6_action_north: """
+           illegal       3.8894      illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal      -4.3285      illegal
+"""
+
+q_values_k_6_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_6_action_south: """
+           illegal       3.8894      illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal       6.9215      illegal
+"""
+
+values_k_7: """
+           10.0000       6.9215     -10.0000
+"""
+
+q_values_k_7_action_north: """
+           illegal       3.8933      illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal      -4.3272      illegal
+"""
+
+q_values_k_7_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_7_action_south: """
+           illegal       3.8933      illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal       6.9228      illegal
+"""
+
+values_k_8: """
+           10.0000       6.9228     -10.0000
+"""
+
+q_values_k_8_action_north: """
+           illegal       3.8941      illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal      -4.3270      illegal
+"""
+
+q_values_k_8_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_8_action_south: """
+           illegal       3.8941      illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal       6.9230      illegal
+"""
+
+values_k_9: """
+           10.0000       6.9230     -10.0000
+"""
+
+q_values_k_9_action_north: """
+           illegal       3.8942      illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal      -4.3269      illegal
+"""
+
+q_values_k_9_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_9_action_south: """
+           illegal       3.8942      illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal       6.9231      illegal
+"""
+
+values_k_1000: """
+           10.0000       6.9231     -10.0000
+"""
+
+q_values_k_1000_action_north: """
+           illegal       3.8942      illegal
+"""
+
+q_values_k_1000_action_east: """
+           illegal      -4.3269      illegal
+"""
+
+q_values_k_1000_action_exit: """
+           10.0000      illegal     -10.0000
+"""
+
+q_values_k_1000_action_south: """
+           illegal       3.8942      illegal
+"""
+
+q_values_k_1000_action_west: """
+           illegal       6.9231      illegal
+"""
+
+policy: """
+        exit         west         exit
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/2-tinygrid-noisy.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/2-tinygrid-noisy.test
new file mode 100644
index 0000000..6eb5f22
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/2-tinygrid-noisy.test	
@@ -0,0 +1,21 @@
+class: "PrioritizedSweepingValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+   10    S  -10
+"""
+discount: "0.75"
+noise: "0.25"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "1000"
+iterations: "10000"
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/3-bridge.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/3-bridge.solution
new file mode 100644
index 0000000..1276c5c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/3-bridge.solution	
@@ -0,0 +1,410 @@
+values_k_0: """
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_0_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_0_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_0_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_0_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_0_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_1: """
+        __________       0.0000       0.0000       0.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_1_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal       0.0000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -4.2500       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_1_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -4.2500       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_2: """
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_2_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_2_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_2_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_2_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_2_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_3: """
+        __________    -100.0000       0.0000       0.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_3_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000       0.0000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_3_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -4.2500       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_3_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_3_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_3_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -4.2500       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_4: """
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_4_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_4_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_4_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_4_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_4_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_5: """
+        __________    -100.0000    -100.0000       0.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000    -100.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_5_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000       0.0000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_5_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -4.2500       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_5_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_5_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_5_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -4.2500       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_6: """
+        __________    -100.0000    -100.0000    -100.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000    -100.0000       0.0000       0.0000   __________
+"""
+
+q_values_k_6_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_6_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -8.5000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_6_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_6_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_6_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -8.5000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_7: """
+        __________    -100.0000    -100.0000    -100.0000       0.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000       0.0000   __________
+"""
+
+q_values_k_7_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000       0.0000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_7_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -8.5000      -4.2500       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_7_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_7_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000     -76.5000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_7_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -8.5000      -4.2500       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_8: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000       0.0000   __________
+"""
+
+q_values_k_8_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000     -76.5000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_8_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -8.5000      -8.5000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_8_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_8_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000     -76.5000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_8_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -8.5000      -8.5000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_9: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000       0.0000   __________
+            0.0000       0.0000       0.0000       0.0000       0.0000       0.0000       0.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_9_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000     -76.5000       0.0000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_9_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -8.5000      -8.5000      -4.2500      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_9_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_9_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -76.5000     -76.5000     -76.5000     -76.5000     -76.5000      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_9_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -8.5000      -8.5000      -8.5000      -8.5000      -4.2500      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+values_k_1000: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      -7.7350     -14.4173     -15.4999      -9.1502      -0.8500      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_1000_action_north: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -77.0702     -77.4875     -77.5016     -77.1949     -76.4639      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1000_action_east: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -19.5292     -20.3575     -15.4999      -9.1502      -0.8500      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1000_action_exit: """
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+            1.0000      illegal      illegal      illegal      illegal      illegal      10.0000
+        __________    -100.0000    -100.0000    -100.0000    -100.0000    -100.0000   __________
+"""
+
+q_values_k_1000_action_south: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal     -77.0702     -77.4875     -77.5016     -77.1949     -76.4639      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+q_values_k_1000_action_west: """
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+           illegal      -7.7350     -14.4173     -19.5292     -20.3575     -15.4999      illegal
+        __________      illegal      illegal      illegal      illegal      illegal   __________
+"""
+
+policy: """
+        __________   exit         exit         exit         exit         exit         __________
+        exit         west         west         east         east         east         exit      
+        __________   exit         exit         exit         exit         exit         __________
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/3-bridge.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/3-bridge.test
new file mode 100644
index 0000000..80a565a
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/3-bridge.test	
@@ -0,0 +1,24 @@
+class: "PrioritizedSweepingValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+    # -100 -100 -100 -100 -100    #
+    1    S    _    _    _    _   10
+    # -100 -100 -100 -100 -100    #
+"""
+gridName: "bridgeGrid"
+discount: "0.85"
+noise: "0.1"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "500"
+valueIterations: "1000"
+iterations: "10000"
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/4-discountgrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/4-discountgrid.solution
new file mode 100644
index 0000000..afaf814
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/4-discountgrid.solution	
@@ -0,0 +1,544 @@
+values_k_0: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_0_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_1: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_1_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_2: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000     -10.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_2_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_3: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000     -10.0000     -10.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_3_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000      -7.2000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_4: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000     -10.0000     -10.0000     -10.0000       0.0000
+"""
+
+q_values_k_4_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_4_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000      -7.2000      -7.2000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_5: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________       0.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_5_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000      -0.9000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_5_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000      -7.2000      -7.2000      -7.2000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000      -0.9000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_6: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________      10.0000
+            0.0000       0.0000       0.0000       0.0000       0.0000
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_6_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.0000       7.2000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.9000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_6_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       7.2000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000      -7.2000      -7.2000      -7.2000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.9000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_7: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000   __________      10.0000
+            0.0000       0.0000       0.0000       0.0000       7.2000
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_7_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.0000
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.6480       7.8480
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.9000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000       4.2840       5.1840
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_7_action_south: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       7.2000
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000      -7.2000      -6.5520      -6.5520
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       0.9000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_8: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.0000       7.2000
+            0.0000   __________       0.0000   __________      10.0000
+            0.0000       0.0000       0.0000       0.0000       7.2000
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_8_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       0.6480       0.6480
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.6480       7.8480
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_east: """
+            0.0000       0.0000       0.0000       0.0000       0.6480
+            0.0000   __________       0.0000       5.1840       6.0840
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000       4.2840       5.1840
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_8_action_south: """
+            0.0000       0.0000       0.0000       0.0000       5.1840
+            0.0000   __________       0.0000       0.6480       7.8480
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000      -7.2000      -6.5520      -6.5520
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_west: """
+            0.0000       0.0000       0.0000       0.0000       0.6480
+            0.0000   __________       0.0000       0.0000       0.9000
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_9: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.0000       5.1840       7.2000
+            0.0000   __________       0.0000   __________      10.0000
+            0.0000       0.0000       0.0000       0.0000       7.2000
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_9_action_north: """
+            0.0000       0.0000       0.0000       0.0000       0.0000
+            0.0000   __________       0.4666       0.6480       1.1146
+            0.0000   __________      illegal   __________      illegal
+            0.0000       0.0000       0.0000       0.6480       7.8480
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_east: """
+            0.0000       0.0000       0.0000       0.4666       0.6480
+            0.0000   __________       3.7325       5.6506       6.0840
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000       4.2840       5.1840
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_9_action_south: """
+            0.0000       0.0000       0.0000       3.7325       5.1840
+            0.0000   __________       0.4666       4.3805       8.3146
+            0.0000   __________      illegal   __________      illegal
+           -7.2000      -7.2000      -7.2000      -6.5520      -6.5520
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_west: """
+            0.0000       0.0000       0.0000       0.4666       0.6480
+            0.0000   __________       0.0000       0.4666       4.6325
+            0.0000   __________      illegal   __________      illegal
+           -0.9000      -0.9000      -0.9000      -0.9000       0.0000
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+values_k_1000: """
+            4.4765       5.1665       5.8840       6.6836       7.5087
+            3.9306   __________       6.0258       7.5087       8.6547
+            3.4512   __________       1.0000   __________      10.0000
+            2.9289       2.0045       3.3074       5.7186       8.4777
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_1000_action_north: """
+            4.0909       4.6523       5.3030       6.0175       6.6836
+            3.9306   __________       5.4546       6.1334       6.8610
+            3.4512   __________      illegal   __________      illegal
+            2.9289       2.0045       1.4151       5.1780       8.4777
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1000_action_east: """
+            4.4765       5.1665       5.8840       6.6836       6.8610
+            3.5435   __________       6.0258       7.5087       7.8072
+            3.1022   __________      illegal   __________      illegal
+            0.8538       1.6617       3.3074       5.7186       6.1039
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1000_action_exit: """
+           illegal      illegal      illegal      illegal      illegal
+           illegal   __________      illegal      illegal      illegal
+           illegal   __________       1.0000   __________      10.0000
+           illegal      illegal      illegal      illegal      illegal
+          -10.0000     -10.0000     -10.0000     -10.0000     -10.0000
+"""
+
+q_values_k_1000_action_south: """
+            3.6979       4.6523       5.4051       6.6116       7.5087
+            3.1924   __________       1.9381       6.7275       8.6547
+            2.7300   __________      illegal   __________      illegal
+           -6.7560      -6.6387      -6.5049      -6.1393      -5.9223
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1000_action_west: """
+            3.9797       4.1530       4.7917       5.5138       6.2669
+            3.5435   __________       4.9581       5.6159       6.9820
+            3.1022   __________      illegal   __________      illegal
+            1.5194       1.3892       0.6332       1.9960       4.1174
+           illegal      illegal      illegal      illegal      illegal
+"""
+
+policy: """
+        east         east         east         east         south     
+        north        __________   east         east         south     
+        north        __________   exit         __________   exit      
+        north        north        east         east         north     
+        exit         exit         exit         exit         exit
+"""
+
+actions: """
+north
+east
+exit
+south
+west
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/4-discountgrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/4-discountgrid.test
new file mode 100644
index 0000000..e1f8b9c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/4-discountgrid.test	
@@ -0,0 +1,25 @@
+class: "PrioritizedSweepingValueIterationTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+    _    _    _    _    _
+    _    #    _    _    _
+    _    #    1    #   10
+    S    _    _    _    _
+  -10  -10  -10  -10  -10
+"""
+discount: "0.9"
+noise: "0.2"
+livingReward: "0.0"
+epsilon: "0.2"
+learningRate: "0.1"
+numExperiences: "3000"
+valueIterations: "1000"
+iterations: "10000"
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/CONFIG
new file mode 100644
index 0000000..c07ac5f
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q5/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
\ No newline at end of file
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/1-tinygrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/1-tinygrid.solution
new file mode 100644
index 0000000..ef85cea
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/1-tinygrid.solution	
@@ -0,0 +1,342 @@
+q_values_k_0_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_exit: """
+            0.0000
+           illegal
+            0.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_exit: """
+            0.0000
+           illegal
+            1.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_exit: """
+            0.0000
+           illegal
+            1.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_exit: """
+            0.0000
+           illegal
+            1.9000
+"""
+
+q_values_k_3_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_exit: """
+            0.0000
+           illegal
+            2.7100
+"""
+
+q_values_k_4_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_exit: """
+           -1.0000
+           illegal
+            2.7100
+"""
+
+q_values_k_5_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_exit: """
+           -1.0000
+           illegal
+            3.4390
+"""
+
+q_values_k_6_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_exit: """
+           -1.0000
+           illegal
+            3.4390
+"""
+
+q_values_k_7_action_south: """
+           illegal
+            0.1720
+           illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_exit: """
+           -1.0000
+           illegal
+            4.0951
+"""
+
+q_values_k_8_action_south: """
+           illegal
+            0.1720
+           illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_exit: """
+           -1.0000
+           illegal
+            4.6856
+"""
+
+q_values_k_9_action_south: """
+           illegal
+            0.1720
+           illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_100_action_north: """
+           illegal
+           -0.4534
+           illegal
+"""
+
+q_values_k_100_action_east: """
+           illegal
+            0.4063
+           illegal
+"""
+
+q_values_k_100_action_exit: """
+           -9.4767
+           illegal
+            9.8175
+"""
+
+q_values_k_100_action_south: """
+           illegal
+            2.1267
+           illegal
+"""
+
+q_values_k_100_action_west: """
+           illegal
+            0.3919
+           illegal
+"""
+
+values: """
+           -9.4767
+            2.1267
+            9.8175
+"""
+
+policy: """
+        exit      
+        south     
+        exit
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/1-tinygrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/1-tinygrid.test
new file mode 100644
index 0000000..30c9254
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/1-tinygrid.test	
@@ -0,0 +1,22 @@
+class: "QLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10
+    S
+   10
+"""
+discount: "0.5"
+noise: "0.0"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/2-tinygrid-noisy.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/2-tinygrid-noisy.solution
new file mode 100644
index 0000000..84cb531
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/2-tinygrid-noisy.solution	
@@ -0,0 +1,342 @@
+q_values_k_0_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_exit: """
+            0.0000
+           illegal
+            0.0000
+"""
+
+q_values_k_0_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_0_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_exit: """
+            0.0000
+           illegal
+            1.0000
+"""
+
+q_values_k_1_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_1_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_exit: """
+            0.0000
+           illegal
+            1.0000
+"""
+
+q_values_k_2_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_2_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_exit: """
+            0.0000
+           illegal
+            1.9000
+"""
+
+q_values_k_3_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_3_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_exit: """
+            0.0000
+           illegal
+            2.7100
+"""
+
+q_values_k_4_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_4_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_exit: """
+           -1.0000
+           illegal
+            2.7100
+"""
+
+q_values_k_5_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_5_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_exit: """
+           -1.0000
+           illegal
+            3.4390
+"""
+
+q_values_k_6_action_south: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_6_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_7_action_exit: """
+           -1.0000
+           illegal
+            3.4390
+"""
+
+q_values_k_7_action_south: """
+           illegal
+            0.2579
+           illegal
+"""
+
+q_values_k_7_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_8_action_exit: """
+           -1.0000
+           illegal
+            4.0951
+"""
+
+q_values_k_8_action_south: """
+           illegal
+            0.2579
+           illegal
+"""
+
+q_values_k_8_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_north: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_east: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_9_action_exit: """
+           -1.0000
+           illegal
+            4.6856
+"""
+
+q_values_k_9_action_south: """
+           illegal
+            0.2579
+           illegal
+"""
+
+q_values_k_9_action_west: """
+           illegal
+            0.0000
+           illegal
+"""
+
+q_values_k_100_action_north: """
+           illegal
+           -0.6670
+           illegal
+"""
+
+q_values_k_100_action_east: """
+           illegal
+            0.9499
+           illegal
+"""
+
+q_values_k_100_action_exit: """
+           -9.4767
+           illegal
+            9.8175
+"""
+
+q_values_k_100_action_south: """
+           illegal
+            3.2562
+           illegal
+"""
+
+q_values_k_100_action_west: """
+           illegal
+            0.8236
+           illegal
+"""
+
+values: """
+           -9.4767
+            3.2562
+            9.8175
+"""
+
+policy: """
+        exit      
+        south     
+        exit
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/2-tinygrid-noisy.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/2-tinygrid-noisy.test
new file mode 100644
index 0000000..65541b5
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/2-tinygrid-noisy.test	
@@ -0,0 +1,22 @@
+class: "QLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10
+    S
+   10
+"""
+discount: "0.75"
+noise: "0.25"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/3-bridge.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/3-bridge.solution
new file mode 100644
index 0000000..f5e3dd0
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/3-bridge.solution	
@@ -0,0 +1,570 @@
+q_values_k_0_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_exit: """
+        __________       0.0000   __________
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_0_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_0_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_1_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_1_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_2_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_2_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_3_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_3_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_4_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_4_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+            0.0000      illegal     -10.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_5_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_5_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal     -10.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_6_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_6_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal     -10.0000
+            0.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_7_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_7_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal     -10.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.0000   __________
+"""
+
+q_values_k_8_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_8_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_north: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_east: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_exit: """
+        __________       0.0000   __________
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal     -10.0000
+          -10.0000      illegal       0.0000
+          -10.0000      illegal       0.0000
+        __________       0.1000   __________
+"""
+
+q_values_k_9_action_south: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_9_action_west: """
+        __________      illegal   __________
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+           illegal       0.0000      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_500_action_north: """
+        __________      illegal   __________
+           illegal      -5.8648      illegal
+           illegal      -0.7995      illegal
+           illegal      -0.1671      illegal
+           illegal      -1.2642      illegal
+           illegal      -0.5871      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_500_action_east: """
+        __________      illegal   __________
+           illegal     -17.0676      illegal
+           illegal     -26.5534      illegal
+           illegal      -3.6957      illegal
+           illegal     -43.5952      illegal
+           illegal     -31.6884      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_500_action_exit: """
+        __________       9.3539   __________
+          -96.5663      illegal     -96.9097
+          -97.7472      illegal     -94.1850
+          -89.0581      illegal     -96.9097
+          -97.2187      illegal     -87.8423
+          -92.8210      illegal     -97.2187
+        __________       0.9576   __________
+"""
+
+q_values_k_500_action_south: """
+        __________      illegal   __________
+           illegal      -6.8377      illegal
+           illegal      -6.7277      illegal
+           illegal      -3.4723      illegal
+           illegal      -8.4015      illegal
+           illegal      -5.5718      illegal
+        __________      illegal   __________
+"""
+
+q_values_k_500_action_west: """
+        __________      illegal   __________
+           illegal     -27.0626      illegal
+           illegal     -39.0610      illegal
+           illegal     -40.5887      illegal
+           illegal     -16.2839      illegal
+           illegal     -20.7770      illegal
+        __________      illegal   __________
+"""
+
+values: """
+        __________       9.3539   __________
+          -96.5663      -5.8648     -96.9097
+          -97.7472      -0.7995     -94.1850
+          -89.0581      -0.1671     -96.9097
+          -97.2187      -1.2642     -87.8423
+          -92.8210      -0.5871     -97.2187
+        __________       0.9576   __________
+"""
+
+policy: """
+        __________   exit         __________
+        exit         north        exit      
+        exit         north        exit      
+        exit         north        exit      
+        exit         north        exit      
+        exit         north        exit      
+        __________   exit         __________
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/3-bridge.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/3-bridge.test
new file mode 100644
index 0000000..4929b42
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/3-bridge.test	
@@ -0,0 +1,27 @@
+class: "QLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+    #   10    #
+ -100    _ -100
+ -100    _ -100
+ -100    _ -100
+ -100    _ -100
+ -100    S -100
+    #    1    #
+"""
+gridName: "bridgeGrid"
+discount: "0.85"
+noise: "0.1"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "500"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/4-discountgrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/4-discountgrid.solution
new file mode 100644
index 0000000..7ee77b8
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/4-discountgrid.solution	
@@ -0,0 +1,456 @@
+q_values_k_0_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_0_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_0_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_1_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_1_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+            0.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_2_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_2_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_4_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_4_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_5_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_5_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+           -1.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.0000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_6_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_6_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_7_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_7_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_7_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+           -1.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.1000      illegal      illegal
+            0.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_7_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_7_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_8_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_8_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_8_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+           -1.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.1000      illegal      illegal
+           -1.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_8_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_8_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_9_action_north: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal      -0.0900   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_9_action_east: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_9_action_exit: """
+            0.0000      illegal       0.0000      illegal      illegal
+           -1.0000      illegal   __________      illegal      illegal
+            0.0000      illegal       0.1000      illegal      illegal
+           -1.0000      illegal   __________   __________      illegal
+           -1.0000      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_9_action_south: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_9_action_west: """
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________       0.0000       0.0000
+           illegal       0.0000      illegal       0.0000       0.0000
+           illegal       0.0000   __________   __________       0.0000
+           illegal       0.0000       0.0000       0.0000       0.0000
+"""
+
+q_values_k_3000_action_north: """
+           illegal       4.3205      illegal       6.1517       3.8095
+           illegal       4.4238   __________       5.2284       3.5129
+           illegal       1.0694      illegal       3.6867       2.0418
+           illegal       0.3423   __________   __________       1.0655
+           illegal       0.0073       0.0079       0.0484       0.3768
+"""
+
+q_values_k_3000_action_east: """
+           illegal       8.0584      illegal       3.7245       3.3947
+           illegal       2.0499   __________       3.2373       2.1742
+           illegal       0.8687      illegal       1.7398       1.2671
+           illegal       0.2927   __________   __________       0.6669
+           illegal       0.0239       0.0097       0.1611       0.2051
+"""
+
+q_values_k_3000_action_exit: """
+          -10.0000      illegal      10.0000      illegal      illegal
+          -10.0000      illegal   __________      illegal      illegal
+          -10.0000      illegal       1.0000      illegal      illegal
+          -10.0000      illegal   __________   __________      illegal
+           -9.9999      illegal      illegal      illegal      illegal
+"""
+
+q_values_k_3000_action_south: """
+           illegal      -0.3521      illegal       3.6948       2.9139
+           illegal      -0.5605   __________       2.1346       1.5674
+           illegal       0.2093      illegal       1.5389       0.5521
+           illegal      -0.5505   __________   __________       0.1006
+           illegal      -1.8501       0.0060       0.0514       0.1223
+"""
+
+q_values_k_3000_action_west: """
+           illegal      -6.2001      illegal       7.5146       4.9014
+           illegal      -5.4013   __________       4.0484       3.4126
+           illegal      -8.0399      illegal       0.9653       1.6081
+           illegal      -7.4767   __________   __________       0.3934
+           illegal      -6.3432       0.0179       0.0188       0.1028
+"""
+
+values: """
+          -10.0000       8.0584      10.0000       7.5146       4.9014
+          -10.0000       4.4238   __________       5.2284       3.5129
+          -10.0000       1.0694       1.0000       3.6867       2.0418
+          -10.0000       0.3423   __________   __________       1.0655
+           -9.9999       0.0239       0.0179       0.1611       0.3768
+"""
+
+policy: """
+        exit         east         exit         west         west      
+        exit         north        __________   north        north     
+        exit         north        exit         north        north     
+        exit         north        __________   __________   north     
+        exit         east         west         east         north
+"""
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/4-discountgrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/4-discountgrid.test
new file mode 100644
index 0000000..a8b7adc
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/4-discountgrid.test	
@@ -0,0 +1,24 @@
+class: "QLearningTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10    _   10    _    _
+  -10    _    #    _    _
+  -10    _    1    _    _
+  -10    _    #    #    _
+  -10    S    _    _    _
+"""
+discount: "0.9"
+noise: "0.2"
+livingReward: "0.0"
+epsilon: "0.2"
+learningRate: "0.1"
+numExperiences: "3000"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/CONFIG
new file mode 100644
index 0000000..a640d4c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q6/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/1-tinygrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/1-tinygrid.solution
new file mode 100644
index 0000000..681d10e
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/1-tinygrid.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/1-tinygrid.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/1-tinygrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/1-tinygrid.test
new file mode 100644
index 0000000..627ed24
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/1-tinygrid.test	
@@ -0,0 +1,22 @@
+class: "EpsilonGreedyTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10
+    S
+   10
+"""
+discount: "0.5"
+noise: "0.0"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/2-tinygrid-noisy.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/2-tinygrid-noisy.solution
new file mode 100644
index 0000000..b1a5801
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/2-tinygrid-noisy.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/2-tinygrid-noisy.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/2-tinygrid-noisy.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/2-tinygrid-noisy.test
new file mode 100644
index 0000000..18b1d72
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/2-tinygrid-noisy.test	
@@ -0,0 +1,22 @@
+class: "EpsilonGreedyTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10
+    S
+   10
+"""
+discount: "0.75"
+noise: "0.25"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "100"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/3-bridge.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/3-bridge.solution
new file mode 100644
index 0000000..49f5307
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/3-bridge.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/3-bridge.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/3-bridge.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/3-bridge.test
new file mode 100644
index 0000000..09bece4
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/3-bridge.test	
@@ -0,0 +1,27 @@
+class: "EpsilonGreedyTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+    #   10    #
+ -100    _ -100
+ -100    _ -100
+ -100    _ -100
+ -100    _ -100
+ -100    S -100
+    #    1    #
+"""
+gridName: "bridgeGrid"
+discount: "0.85"
+noise: "0.1"
+livingReward: "0.0"
+epsilon: "0.5"
+learningRate: "0.1"
+numExperiences: "500"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/4-discountgrid.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/4-discountgrid.solution
new file mode 100644
index 0000000..397900f
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/4-discountgrid.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/4-discountgrid.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/4-discountgrid.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/4-discountgrid.test
new file mode 100644
index 0000000..2aef636
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/4-discountgrid.test	
@@ -0,0 +1,24 @@
+class: "EpsilonGreedyTest"
+
+# GridWorld specification
+#    _ is empty space
+#    numbers are terminal states with that value
+#    # is a wall
+#    S is a start state
+#
+grid: """
+  -10    _   10    _    _
+  -10    _    #    _    _
+  -10    _    1    _    _
+  -10    _    #    #    _
+  -10    S    _    _    _
+"""
+discount: "0.9"
+noise: "0.2"
+livingReward: "0.0"
+epsilon: "0.2"
+learningRate: "0.1"
+numExperiences: "3000"
+valueIterations: "100"
+iterations: "10000"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/CONFIG
new file mode 100644
index 0000000..0d53d74
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q7/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/grade-agent.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/grade-agent.solution
new file mode 100644
index 0000000..95b9d69
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/grade-agent.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q8/grade-agent.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/grade-agent.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/grade-agent.test
new file mode 100644
index 0000000..8910e86
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q8/grade-agent.test	
@@ -0,0 +1,2 @@
+class: "Question8Test"
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/CONFIG b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/CONFIG
new file mode 100644
index 0000000..63a627c
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PartialCreditQuestion"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/grade-agent.solution b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/grade-agent.solution
new file mode 100644
index 0000000..107bd97
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/grade-agent.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q9/grade-agent.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/grade-agent.test b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/grade-agent.test
new file mode 100644
index 0000000..f09ba4a
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/test_cases/q9/grade-agent.test	
@@ -0,0 +1,6 @@
+class: "EvalAgentTest"
+
+# 100 test games after 2000 training games
+pacmanParams: "-p PacmanQAgent -x 2000 -n 2100 -l smallGrid -q -f --fixRandomSeed"
+
+winsThresholds: "70"
diff --git a/cs188-projects-master/P3 Reinforcement Learning/textDisplay.py b/cs188-projects-master/P3 Reinforcement Learning/textDisplay.py
new file mode 100644
index 0000000..e920ad4
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/textDisplay.py	
@@ -0,0 +1,81 @@
+# textDisplay.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import time
+try: 
+    import pacman
+except:
+    pass
+
+DRAW_EVERY = 1
+SLEEP_TIME = 0 # This can be overwritten by __init__
+DISPLAY_MOVES = False
+QUIET = False # Supresses output
+
+class NullGraphics:
+    def initialize(self, state, isBlue = False):
+        pass
+
+    def update(self, state):
+        pass
+
+    def checkNullDisplay(self):
+        return True
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def updateDistributions(self, dist):
+        pass
+
+    def finish(self):
+        pass
+
+class PacmanGraphics:
+    def __init__(self, speed=None):
+        if speed != None:
+            global SLEEP_TIME
+            SLEEP_TIME = speed
+
+    def initialize(self, state, isBlue = False):
+        self.draw(state)
+        self.pause()
+        self.turn = 0
+        self.agentCounter = 0
+
+    def update(self, state):
+        numAgents = len(state.agentStates)
+        self.agentCounter = (self.agentCounter + 1) % numAgents
+        if self.agentCounter == 0:
+            self.turn += 1
+            if DISPLAY_MOVES:
+                ghosts = [pacman.nearestPoint(state.getGhostPosition(i)) for i in range(1, numAgents)]
+                print "%4d) P: %-8s" % (self.turn, str(pacman.nearestPoint(state.getPacmanPosition()))),'| Score: %-5d' % state.score,'| Ghosts:', ghosts
+            if self.turn % DRAW_EVERY == 0:
+                self.draw(state)
+                self.pause()
+        if state._win or state._lose:
+            self.draw(state)
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def finish(self):
+        pass
diff --git a/cs188-projects-master/P3 Reinforcement Learning/textDisplay.pyc b/cs188-projects-master/P3 Reinforcement Learning/textDisplay.pyc
new file mode 100644
index 0000000..bcd6ecb
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/textDisplay.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/textGridworldDisplay.py b/cs188-projects-master/P3 Reinforcement Learning/textGridworldDisplay.py
new file mode 100644
index 0000000..e014428
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/textGridworldDisplay.py	
@@ -0,0 +1,324 @@
+# textGridworldDisplay.py
+# -----------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import util
+
+class TextGridworldDisplay:
+
+    def __init__(self, gridworld):
+        self.gridworld = gridworld
+
+    def start(self):
+        pass
+
+    def pause(self):
+        pass
+
+    def displayValues(self, agent, currentState = None, message = None):
+        if message != None:
+            print message
+        values = util.Counter()
+        policy = {}
+        states = self.gridworld.getStates()
+        for state in states:
+            values[state] = agent.getValue(state)
+            policy[state] = agent.getPolicy(state)
+        prettyPrintValues(self.gridworld, values, policy, currentState)
+
+    def displayNullValues(self, agent, currentState = None, message = None):
+        if message != None: print message
+        prettyPrintNullValues(self.gridworld, currentState)
+
+    def displayQValues(self, agent, currentState = None, message = None):
+        if message != None: print message
+        qValues = util.Counter()
+        states = self.gridworld.getStates()
+        for state in states:
+            for action in self.gridworld.getPossibleActions(state):
+                qValues[(state, action)] = agent.getQValue(state, action)
+        prettyPrintQValues(self.gridworld, qValues, currentState)
+
+
+def prettyPrintValues(gridWorld, values, policy=None, currentState = None):
+    grid = gridWorld.grid
+    maxLen = 11
+    newRows = []
+    for y in range(grid.height):
+        newRow = []
+        for x in range(grid.width):
+            state = (x, y)
+            value = values[state]
+            action = None
+            if policy != None and state in policy:
+                action = policy[state]
+            actions = gridWorld.getPossibleActions(state)
+            if action not in actions and 'exit' in actions:
+                action = 'exit'
+            valString = None
+            if action == 'exit':
+                valString = border('%.2f' % value)
+            else:
+                valString = '\n\n%.2f\n\n' % value
+                valString += ' '*maxLen
+            if grid[x][y] == 'S':
+                valString = '\n\nS: %.2f\n\n'  % value
+                valString += ' '*maxLen
+            if grid[x][y] == '#':
+                valString = '\n#####\n#####\n#####\n'
+                valString += ' '*maxLen
+            pieces = [valString]
+            text = ("\n".join(pieces)).split('\n')
+            if currentState == state:
+                l = len(text[1])
+                if l == 0:
+                    text[1] = '*'
+                else:
+                    text[1] = "|" + ' ' * int((l-1)/2-1) + '*' + ' ' * int((l)/2-1) + "|"
+            if action == 'east':
+                text[2] = '  ' + text[2]  + ' >'
+            elif action == 'west':
+                text[2] = '< ' + text[2]  + '  '
+            elif action == 'north':
+                text[0] = ' ' * int(maxLen/2) + '^' +' ' * int(maxLen/2)
+            elif action == 'south':
+                text[4] = ' ' * int(maxLen/2) + 'v' +' ' * int(maxLen/2)
+            newCell = "\n".join(text)
+            newRow.append(newCell)
+        newRows.append(newRow)
+    numCols = grid.width
+    for rowNum, row in enumerate(newRows):
+        row.insert(0,"\n\n"+str(rowNum))
+    newRows.reverse()
+    colLabels = [str(colNum) for colNum in range(numCols)]
+    colLabels.insert(0,' ')
+    finalRows = [colLabels] + newRows
+    print indent(finalRows,separateRows=True,delim='|', prefix='|',postfix='|', justify='center',hasHeader=True)
+
+
+def prettyPrintNullValues(gridWorld, currentState = None):
+    grid = gridWorld.grid
+    maxLen = 11
+    newRows = []
+    for y in range(grid.height):
+        newRow = []
+        for x in range(grid.width):
+            state = (x, y)
+
+            # value = values[state]
+
+            action = None
+            # if policy != None and state in policy:
+            #   action = policy[state]
+            #
+            actions = gridWorld.getPossibleActions(state)
+
+            if action not in actions and 'exit' in actions:
+                action = 'exit'
+
+            valString = None
+            # if action == 'exit':
+            #   valString = border('%.2f' % value)
+            # else:
+            #   valString = '\n\n%.2f\n\n' % value
+            #   valString += ' '*maxLen
+
+            if grid[x][y] == 'S':
+                valString = '\n\nS\n\n'
+                valString += ' '*maxLen
+            elif grid[x][y] == '#':
+                valString = '\n#####\n#####\n#####\n'
+                valString += ' '*maxLen
+            elif type(grid[x][y]) == float or type(grid[x][y]) == int:
+                valString = border('%.2f' % float(grid[x][y]))
+            else: valString = border('  ')
+            pieces = [valString]
+
+            text = ("\n".join(pieces)).split('\n')
+
+            if currentState == state:
+                l = len(text[1])
+                if l == 0:
+                    text[1] = '*'
+                else:
+                    text[1] = "|" + ' ' * int((l-1)/2-1) + '*' + ' ' * int((l)/2-1) + "|"
+
+            if action == 'east':
+                text[2] = '  ' + text[2]  + ' >'
+            elif action == 'west':
+                text[2] = '< ' + text[2]  + '  '
+            elif action == 'north':
+                text[0] = ' ' * int(maxLen/2) + '^' +' ' * int(maxLen/2)
+            elif action == 'south':
+                text[4] = ' ' * int(maxLen/2) + 'v' +' ' * int(maxLen/2)
+            newCell = "\n".join(text)
+            newRow.append(newCell)
+        newRows.append(newRow)
+    numCols = grid.width
+    for rowNum, row in enumerate(newRows):
+        row.insert(0,"\n\n"+str(rowNum))
+    newRows.reverse()
+    colLabels = [str(colNum) for colNum in range(numCols)]
+    colLabels.insert(0,' ')
+    finalRows = [colLabels] + newRows
+    print indent(finalRows,separateRows=True,delim='|', prefix='|',postfix='|', justify='center',hasHeader=True)
+
+def prettyPrintQValues(gridWorld, qValues, currentState=None):
+    grid = gridWorld.grid
+    maxLen = 11
+    newRows = []
+    for y in range(grid.height):
+        newRow = []
+        for x in range(grid.width):
+            state = (x, y)
+            actions = gridWorld.getPossibleActions(state)
+            if actions == None or len(actions) == 0:
+                actions = [None]
+            bestQ = max([qValues[(state, action)] for action in actions])
+            bestActions = [action for action in actions if qValues[(state, action)] == bestQ]
+
+            # display cell
+            qStrings = dict([(action, "%.2f" % qValues[(state, action)]) for action in actions])
+            northString = ('north' in qStrings and qStrings['north']) or ' '
+            southString = ('south' in qStrings and qStrings['south']) or ' '
+            eastString = ('east' in qStrings and qStrings['east']) or ' '
+            westString = ('west' in qStrings and qStrings['west']) or ' '
+            exitString = ('exit' in qStrings and qStrings['exit']) or ' '
+
+            eastLen = len(eastString)
+            westLen = len(westString)
+            if eastLen < westLen:
+                eastString = ' '*(westLen-eastLen)+eastString
+            if westLen < eastLen:
+                westString = westString+' '*(eastLen-westLen)
+
+            if 'north' in bestActions:
+                northString = '/'+northString+'\\'
+            if 'south' in bestActions:
+                southString = '\\'+southString+'/'
+            if 'east' in bestActions:
+                eastString = ''+eastString+'>'
+            else:
+                eastString = ''+eastString+' '
+            if 'west' in bestActions:
+                westString = '<'+westString+''
+            else:
+                westString = ' '+westString+''
+            if 'exit' in bestActions:
+                exitString = '[ '+exitString+' ]'
+
+
+            ewString = westString + "     " + eastString
+            if state == currentState:
+                ewString = westString + "  *  " + eastString
+            if state == gridWorld.getStartState():
+                ewString = westString + "  S  " + eastString
+            if state == currentState and state == gridWorld.getStartState():
+                ewString = westString + " S:* " + eastString
+
+            text = [northString, "\n"+exitString, ewString, ' '*maxLen+"\n", southString]
+
+            if grid[x][y] == '#':
+                text = ['', '\n#####\n#####\n#####', '']
+
+            newCell = "\n".join(text)
+            newRow.append(newCell)
+        newRows.append(newRow)
+    numCols = grid.width
+    for rowNum, row in enumerate(newRows):
+        row.insert(0,"\n\n\n"+str(rowNum))
+    newRows.reverse()
+    colLabels = [str(colNum) for colNum in range(numCols)]
+    colLabels.insert(0,' ')
+    finalRows = [colLabels] + newRows
+
+    print indent(finalRows,separateRows=True,delim='|',prefix='|',postfix='|', justify='center',hasHeader=True)
+
+def border(text):
+    length = len(text)
+    pieces = ['-' * (length+2), '|'+' ' * (length+2)+'|', ' | '+text+' | ', '|'+' ' * (length+2)+'|','-' * (length+2)]
+    return '\n'.join(pieces)
+
+# INDENTING CODE
+
+# Indenting code based on a post from George Sakkis
+# (http://aspn.activestate.com/ASPN/Cookbook/Python/Recipe/267662)
+
+import cStringIO,operator
+
+def indent(rows, hasHeader=False, headerChar='-', delim=' | ', justify='left',
+           separateRows=False, prefix='', postfix='', wrapfunc=lambda x:x):
+    """Indents a table by column.
+       - rows: A sequence of sequences of items, one sequence per row.
+       - hasHeader: True if the first row consists of the columns' names.
+       - headerChar: Character to be used for the row separator line
+         (if hasHeader==True or separateRows==True).
+       - delim: The column delimiter.
+       - justify: Determines how are data justified in their column.
+         Valid values are 'left','right' and 'center'.
+       - separateRows: True if rows are to be separated by a line
+         of 'headerChar's.
+       - prefix: A string prepended to each printed row.
+       - postfix: A string appended to each printed row.
+       - wrapfunc: A function f(text) for wrapping text; each element in
+         the table is first wrapped by this function."""
+    # closure for breaking logical rows to physical, using wrapfunc
+    def rowWrapper(row):
+        newRows = [wrapfunc(item).split('\n') for item in row]
+        return [[substr or '' for substr in item] for item in map(None,*newRows)]
+    # break each logical row into one or more physical ones
+    logicalRows = [rowWrapper(row) for row in rows]
+    # columns of physical rows
+    columns = map(None,*reduce(operator.add,logicalRows))
+    # get the maximum of each column by the string length of its items
+    maxWidths = [max([len(str(item)) for item in column]) for column in columns]
+    rowSeparator = headerChar * (len(prefix) + len(postfix) + sum(maxWidths) + \
+                                 len(delim)*(len(maxWidths)-1))
+    # select the appropriate justify method
+    justify = {'center':str.center, 'right':str.rjust, 'left':str.ljust}[justify.lower()]
+    output=cStringIO.StringIO()
+    if separateRows: print >> output, rowSeparator
+    for physicalRows in logicalRows:
+        for row in physicalRows:
+            print >> output, \
+                prefix \
+                + delim.join([justify(str(item),width) for (item,width) in zip(row,maxWidths)]) \
+                + postfix
+        if separateRows or hasHeader: print >> output, rowSeparator; hasHeader=False
+    return output.getvalue()
+
+import math
+def wrap_always(text, width):
+    """A simple word-wrap function that wraps text on exactly width characters.
+       It doesn't split the text in words."""
+    return '\n'.join([ text[width*i:width*(i+1)] \
+                       for i in xrange(int(math.ceil(1.*len(text)/width))) ])
+
+
+# TEST OF DISPLAY CODE
+
+if __name__ == '__main__':
+    import gridworld, util
+
+    grid = gridworld.getCliffGrid3()
+    print grid.getStates()
+
+    policy = dict([(state,'east') for state in grid.getStates()])
+    values = util.Counter(dict([(state,1000.23) for state in grid.getStates()]))
+    prettyPrintValues(grid, values, policy, currentState = (0,0))
+
+    stateCrossActions = [[(state, action) for action in grid.getPossibleActions(state)] for state in grid.getStates()]
+    qStates = reduce(lambda x,y: x+y, stateCrossActions, [])
+    qValues = util.Counter(dict([((state, action), 10.5) for state, action in qStates]))
+    qValues = util.Counter(dict([((state, action), 10.5) for state, action in reduce(lambda x,y: x+y, stateCrossActions, [])]))
+    prettyPrintQValues(grid, qValues, currentState = (0,0))
diff --git a/cs188-projects-master/P3 Reinforcement Learning/textGridworldDisplay.pyc b/cs188-projects-master/P3 Reinforcement Learning/textGridworldDisplay.pyc
new file mode 100644
index 0000000..7d6060b
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/textGridworldDisplay.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/util.py b/cs188-projects-master/P3 Reinforcement Learning/util.py
new file mode 100644
index 0000000..5b066ed
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/util.py	
@@ -0,0 +1,674 @@
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import inspect
+import heapq, random
+import cStringIO
+
+
+class FixedRandom:
+    def __init__(self):
+        fixedState = (3, (2147483648L, 507801126L, 683453281L, 310439348L, 2597246090L, \
+            2209084787L, 2267831527L, 979920060L, 3098657677L, 37650879L, 807947081L, 3974896263L, \
+            881243242L, 3100634921L, 1334775171L, 3965168385L, 746264660L, 4074750168L, 500078808L, \
+            776561771L, 702988163L, 1636311725L, 2559226045L, 157578202L, 2498342920L, 2794591496L, \
+            4130598723L, 496985844L, 2944563015L, 3731321600L, 3514814613L, 3362575829L, 3038768745L, \
+            2206497038L, 1108748846L, 1317460727L, 3134077628L, 988312410L, 1674063516L, 746456451L, \
+            3958482413L, 1857117812L, 708750586L, 1583423339L, 3466495450L, 1536929345L, 1137240525L, \
+            3875025632L, 2466137587L, 1235845595L, 4214575620L, 3792516855L, 657994358L, 1241843248L, \
+            1695651859L, 3678946666L, 1929922113L, 2351044952L, 2317810202L, 2039319015L, 460787996L, \
+            3654096216L, 4068721415L, 1814163703L, 2904112444L, 1386111013L, 574629867L, 2654529343L, \
+            3833135042L, 2725328455L, 552431551L, 4006991378L, 1331562057L, 3710134542L, 303171486L, \
+            1203231078L, 2670768975L, 54570816L, 2679609001L, 578983064L, 1271454725L, 3230871056L, \
+            2496832891L, 2944938195L, 1608828728L, 367886575L, 2544708204L, 103775539L, 1912402393L, \
+            1098482180L, 2738577070L, 3091646463L, 1505274463L, 2079416566L, 659100352L, 839995305L, \
+            1696257633L, 274389836L, 3973303017L, 671127655L, 1061109122L, 517486945L, 1379749962L, \
+            3421383928L, 3116950429L, 2165882425L, 2346928266L, 2892678711L, 2936066049L, 1316407868L, \
+            2873411858L, 4279682888L, 2744351923L, 3290373816L, 1014377279L, 955200944L, 4220990860L, \
+            2386098930L, 1772997650L, 3757346974L, 1621616438L, 2877097197L, 442116595L, 2010480266L, \
+            2867861469L, 2955352695L, 605335967L, 2222936009L, 2067554933L, 4129906358L, 1519608541L, \
+            1195006590L, 1942991038L, 2736562236L, 279162408L, 1415982909L, 4099901426L, 1732201505L, \
+            2934657937L, 860563237L, 2479235483L, 3081651097L, 2244720867L, 3112631622L, 1636991639L, \
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+            3474859076L, 4237194338L, 1735191073L, 2150369208L, 92164394L, 756974036L, 2314453957L, \
+            323969533L, 4267621035L, 283649842L, 810004843L, 727855536L, 1757827251L, 3334960421L, \
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+            3311559776L, 3374443561L, 1207829628L, 668793165L, 1822020716L, 2082656160L, 1160606415L, \
+            3034757648L, 741703672L, 3094328738L, 459332691L, 2702383376L, 1610239915L, 4162939394L, \
+            557861574L, 3805706338L, 3832520705L, 1248934879L, 3250424034L, 892335058L, 74323433L, \
+            3209751608L, 3213220797L, 3444035873L, 3743886725L, 1783837251L, 610968664L, 580745246L, \
+            4041979504L, 201684874L, 2673219253L, 1377283008L, 3497299167L, 2344209394L, 2304982920L, \
+            3081403782L, 2599256854L, 3184475235L, 3373055826L, 695186388L, 2423332338L, 222864327L, \
+            1258227992L, 3627871647L, 3487724980L, 4027953808L, 3053320360L, 533627073L, 3026232514L, \
+            2340271949L, 867277230L, 868513116L, 2158535651L, 2487822909L, 3428235761L, 3067196046L, \
+            3435119657L, 1908441839L, 788668797L, 3367703138L, 3317763187L, 908264443L, 2252100381L, \
+            764223334L, 4127108988L, 384641349L, 3377374722L, 1263833251L, 1958694944L, 3847832657L, \
+            1253909612L, 1096494446L, 555725445L, 2277045895L, 3340096504L, 1383318686L, 4234428127L, \
+            1072582179L, 94169494L, 1064509968L, 2681151917L, 2681864920L, 734708852L, 1338914021L, \
+            1270409500L, 1789469116L, 4191988204L, 1716329784L, 2213764829L, 3712538840L, 919910444L, \
+            1318414447L, 3383806712L, 3054941722L, 3378649942L, 1205735655L, 1268136494L, 2214009444L, \
+            2532395133L, 3232230447L, 230294038L, 342599089L, 772808141L, 4096882234L, 3146662953L, \
+            2784264306L, 1860954704L, 2675279609L, 2984212876L, 2466966981L, 2627986059L, 2985545332L, \
+            2578042598L, 1458940786L, 2944243755L, 3959506256L, 1509151382L, 325761900L, 942251521L, \
+            4184289782L, 2756231555L, 3297811774L, 1169708099L, 3280524138L, 3805245319L, 3227360276L, \
+            3199632491L, 2235795585L, 2865407118L, 36763651L, 2441503575L, 3314890374L, 1755526087L, \
+            17915536L, 1196948233L, 949343045L, 3815841867L, 489007833L, 2654997597L, 2834744136L, \
+            417688687L, 2843220846L, 85621843L, 747339336L, 2043645709L, 3520444394L, 1825470818L, \
+            647778910L, 275904777L, 1249389189L, 3640887431L, 4200779599L, 323384601L, 3446088641L, \
+            4049835786L, 1718989062L, 3563787136L, 44099190L, 3281263107L, 22910812L, 1826109246L, \
+            745118154L, 3392171319L, 1571490704L, 354891067L, 815955642L, 1453450421L, 940015623L, \
+            796817754L, 1260148619L, 3898237757L, 176670141L, 1870249326L, 3317738680L, 448918002L, \
+            4059166594L, 2003827551L, 987091377L, 224855998L, 3520570137L, 789522610L, 2604445123L, \
+            454472869L, 475688926L, 2990723466L, 523362238L, 3897608102L, 806637149L, 2642229586L, \
+            2928614432L, 1564415411L, 1691381054L, 3816907227L, 4082581003L, 1895544448L, 3728217394L, \
+            3214813157L, 4054301607L, 1882632454L, 2873728645L, 3694943071L, 1297991732L, 2101682438L, \
+            3952579552L, 678650400L, 1391722293L, 478833748L, 2976468591L, 158586606L, 2576499787L, \
+            662690848L, 3799889765L, 3328894692L, 2474578497L, 2383901391L, 1718193504L, 3003184595L, \
+            3630561213L, 1929441113L, 3848238627L, 1594310094L, 3040359840L, 3051803867L, 2462788790L, \
+            954409915L, 802581771L, 681703307L, 545982392L, 2738993819L, 8025358L, 2827719383L, \
+            770471093L, 3484895980L, 3111306320L, 3900000891L, 2116916652L, 397746721L, 2087689510L, \
+            721433935L, 1396088885L, 2751612384L, 1998988613L, 2135074843L, 2521131298L, 707009172L, \
+            2398321482L, 688041159L, 2264560137L, 482388305L, 207864885L, 3735036991L, 3490348331L, \
+            1963642811L, 3260224305L, 3493564223L, 1939428454L, 1128799656L, 1366012432L, 2858822447L, \
+            1428147157L, 2261125391L, 1611208390L, 1134826333L, 2374102525L, 3833625209L, 2266397263L, \
+            3189115077L, 770080230L, 2674657172L, 4280146640L, 3604531615L, 4235071805L, 3436987249L, \
+            509704467L, 2582695198L, 4256268040L, 3391197562L, 1460642842L, 1617931012L, 457825497L, \
+            1031452907L, 1330422862L, 4125947620L, 2280712485L, 431892090L, 2387410588L, 2061126784L, \
+            896457479L, 3480499461L, 2488196663L, 4021103792L, 1877063114L, 2744470201L, 1046140599L, \
+            2129952955L, 3583049218L, 4217723693L, 2720341743L, 820661843L, 1079873609L, 3360954200L, \
+            3652304997L, 3335838575L, 2178810636L, 1908053374L, 4026721976L, 1793145418L, 476541615L, \
+            973420250L, 515553040L, 919292001L, 2601786155L, 1685119450L, 3030170809L, 1590676150L, \
+            1665099167L, 651151584L, 2077190587L, 957892642L, 646336572L, 2743719258L, 866169074L, \
+            851118829L, 4225766285L, 963748226L, 799549420L, 1955032629L, 799460000L, 2425744063L, \
+            2441291571L, 1928963772L, 528930629L, 2591962884L, 3495142819L, 1896021824L, 901320159L, \
+            3181820243L, 843061941L, 3338628510L, 3782438992L, 9515330L, 1705797226L, 953535929L, \
+            764833876L, 3202464965L, 2970244591L, 519154982L, 3390617541L, 566616744L, 3438031503L, \
+            1853838297L, 170608755L, 1393728434L, 676900116L, 3184965776L, 1843100290L, 78995357L, \
+            2227939888L, 3460264600L, 1745705055L, 1474086965L, 572796246L, 4081303004L, 882828851L, \
+            1295445825L, 137639900L, 3304579600L, 2722437017L, 4093422709L, 273203373L, 2666507854L, \
+            3998836510L, 493829981L, 1623949669L, 3482036755L, 3390023939L, 833233937L, 1639668730L, \
+            1499455075L, 249728260L, 1210694006L, 3836497489L, 1551488720L, 3253074267L, 3388238003L, \
+            2372035079L, 3945715164L, 2029501215L, 3362012634L, 2007375355L, 4074709820L, 631485888L, \
+            3135015769L, 4273087084L, 3648076204L, 2739943601L, 1374020358L, 1760722448L, 3773939706L, \
+            1313027823L, 1895251226L, 4224465911L, 421382535L, 1141067370L, 3660034846L, 3393185650L, \
+            1850995280L, 1451917312L, 3841455409L, 3926840308L, 1397397252L, 2572864479L, 2500171350L, \
+            3119920613L, 531400869L, 1626487579L, 1099320497L, 407414753L, 2438623324L, 99073255L, \
+            3175491512L, 656431560L, 1153671785L, 236307875L, 2824738046L, 2320621382L, 892174056L, \
+            230984053L, 719791226L, 2718891946L, 624L), None)
+        self.random = random.Random()
+        self.random.setstate(fixedState)
+
+"""
+ Data structures useful for implementing SearchAgents
+"""
+
+class Stack:
+    "A container with a last-in-first-out (LIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Push 'item' onto the stack"
+        self.list.append(item)
+
+    def pop(self):
+        "Pop the most recently pushed item from the stack"
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the stack is empty"
+        return len(self.list) == 0
+
+class Queue:
+    "A container with a first-in-first-out (FIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Enqueue the 'item' into the queue"
+        self.list.insert(0,item)
+
+    def pop(self):
+        """
+          Dequeue the earliest enqueued item still in the queue. This
+          operation removes the item from the queue.
+        """
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the queue is empty"
+        return len(self.list) == 0
+
+class PriorityQueue:
+    """
+      Implements a priority queue data structure. Each inserted item
+      has a priority associated with it and the client is usually interested
+      in quick retrieval of the lowest-priority item in the queue. This
+      data structure allows O(1) access to the lowest-priority item.
+    """
+    def  __init__(self):
+        self.heap = []
+        self.count = 0
+
+    def push(self, item, priority):
+        entry = (priority, self.count, item)
+        heapq.heappush(self.heap, entry)
+        self.count += 1
+
+    def pop(self):
+        (_, _, item) = heapq.heappop(self.heap)
+        return item
+
+    def isEmpty(self):
+        return len(self.heap) == 0
+
+    def update(self, item, priority):
+        # If item already in priority queue with higher priority, update its priority and rebuild the heap.
+        # If item already in priority queue with equal or lower priority, do nothing.
+        # If item not in priority queue, do the same thing as self.push.
+        for index, (p, c, i) in enumerate(self.heap):
+            if i == item:
+                if p <= priority:
+                    break
+                del self.heap[index]
+                self.heap.append((priority, c, item))
+                heapq.heapify(self.heap)
+                break
+        else:
+            self.push(item, priority)
+
+class PriorityQueueWithFunction(PriorityQueue):
+    """
+    Implements a priority queue with the same push/pop signature of the
+    Queue and the Stack classes. This is designed for drop-in replacement for
+    those two classes. The caller has to provide a priority function, which
+    extracts each item's priority.
+    """
+    def  __init__(self, priorityFunction):
+        "priorityFunction (item) -> priority"
+        self.priorityFunction = priorityFunction      # store the priority function
+        PriorityQueue.__init__(self)        # super-class initializer
+
+    def push(self, item):
+        "Adds an item to the queue with priority from the priority function"
+        PriorityQueue.push(self, item, self.priorityFunction(item))
+
+
+def manhattanDistance( xy1, xy2 ):
+    "Returns the Manhattan distance between points xy1 and xy2"
+    return abs( xy1[0] - xy2[0] ) + abs( xy1[1] - xy2[1] )
+
+"""
+  Data structures and functions useful for various course projects
+
+  The search project should not need anything below this line.
+"""
+
+class Counter(dict):
+    """
+    A counter keeps track of counts for a set of keys.
+
+    The counter class is an extension of the standard python
+    dictionary type.  It is specialized to have number values
+    (integers or floats), and includes a handful of additional
+    functions to ease the task of counting data.  In particular,
+    all keys are defaulted to have value 0.  Using a dictionary:
+
+    a = {}
+    print a['test']
+
+    would give an error, while the Counter class analogue:
+
+    >>> a = Counter()
+    >>> print a['test']
+    0
+
+    returns the default 0 value. Note that to reference a key
+    that you know is contained in the counter,
+    you can still use the dictionary syntax:
+
+    >>> a = Counter()
+    >>> a['test'] = 2
+    >>> print a['test']
+    2
+
+    This is very useful for counting things without initializing their counts,
+    see for example:
+
+    >>> a['blah'] += 1
+    >>> print a['blah']
+    1
+
+    The counter also includes additional functionality useful in implementing
+    the classifiers for this assignment.  Two counters can be added,
+    subtracted or multiplied together.  See below for details.  They can
+    also be normalized and their total count and arg max can be extracted.
+    """
+    def __getitem__(self, idx):
+        self.setdefault(idx, 0)
+        return dict.__getitem__(self, idx)
+
+    def incrementAll(self, keys, count):
+        """
+        Increments all elements of keys by the same count.
+
+        >>> a = Counter()
+        >>> a.incrementAll(['one','two', 'three'], 1)
+        >>> a['one']
+        1
+        >>> a['two']
+        1
+        """
+        for key in keys:
+            self[key] += count
+
+    def argMax(self):
+        """
+        Returns the key with the highest value.
+        """
+        if len(self.keys()) == 0: return None
+        all = self.items()
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def sortedKeys(self):
+        """
+        Returns a list of keys sorted by their values.  Keys
+        with the highest values will appear first.
+
+        >>> a = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> a['third'] = 1
+        >>> a.sortedKeys()
+        ['second', 'third', 'first']
+        """
+        sortedItems = self.items()
+        compare = lambda x, y:  sign(y[1] - x[1])
+        sortedItems.sort(cmp=compare)
+        return [x[0] for x in sortedItems]
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
+
+    def normalize(self):
+        """
+        Edits the counter such that the total count of all
+        keys sums to 1.  The ratio of counts for all keys
+        will remain the same. Note that normalizing an empty
+        Counter will result in an error.
+        """
+        total = float(self.totalCount())
+        if total == 0: return
+        for key in self.keys():
+            self[key] = self[key] / total
+
+    def divideAll(self, divisor):
+        """
+        Divides all counts by divisor
+        """
+        divisor = float(divisor)
+        for key in self:
+            self[key] /= divisor
+
+    def copy(self):
+        """
+        Returns a copy of the counter
+        """
+        return Counter(dict.copy(self))
+
+    def __mul__(self, y ):
+        """
+        Multiplying two counters gives the dot product of their vectors where
+        each unique label is a vector element.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['second'] = 5
+        >>> a['third'] = 1.5
+        >>> a['fourth'] = 2.5
+        >>> a * b
+        14
+        """
+        sum = 0
+        x = self
+        if len(x) > len(y):
+            x,y = y,x
+        for key in x:
+            if key not in y:
+                continue
+            sum += x[key] * y[key]
+        return sum
+
+    def __radd__(self, y):
+        """
+        Adding another counter to a counter increments the current counter
+        by the values stored in the second counter.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> a += b
+        >>> a['first']
+        1
+        """
+        for key, value in y.items():
+            self[key] += value
+
+    def __add__( self, y ):
+        """
+        Adding two counters gives a counter with the union of all keys and
+        counts of the second added to counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a + b)['first']
+        1
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] + y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = y[key]
+        return addend
+
+    def __sub__( self, y ):
+        """
+        Subtracting a counter from another gives a counter with the union of all keys and
+        counts of the second subtracted from counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a - b)['first']
+        -5
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] - y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = -1 * y[key]
+        return addend
+
+def raiseNotDefined():
+    fileName = inspect.stack()[1][1]
+    line = inspect.stack()[1][2]
+    method = inspect.stack()[1][3]
+
+    print "*** Method not implemented: %s at line %s of %s" % (method, line, fileName)
+    sys.exit(1)
+
+def normalize(vectorOrCounter):
+    """
+    normalize a vector or counter by dividing each value by the sum of all values
+    """
+    normalizedCounter = Counter()
+    if type(vectorOrCounter) == type(normalizedCounter):
+        counter = vectorOrCounter
+        total = float(counter.totalCount())
+        if total == 0: return counter
+        for key in counter.keys():
+            value = counter[key]
+            normalizedCounter[key] = value / total
+        return normalizedCounter
+    else:
+        vector = vectorOrCounter
+        s = float(sum(vector))
+        if s == 0: return vector
+        return [el / s for el in vector]
+
+def nSample(distribution, values, n):
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    rand = [random.random() for i in range(n)]
+    rand.sort()
+    samples = []
+    samplePos, distPos, cdf = 0,0, distribution[0]
+    while samplePos < n:
+        if rand[samplePos] < cdf:
+            samplePos += 1
+            samples.append(values[distPos])
+        else:
+            distPos += 1
+            cdf += distribution[distPos]
+    return samples
+
+def sample(distribution, values = None):
+    if type(distribution) == Counter:
+        items = sorted(distribution.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    choice = random.random()
+    i, total= 0, distribution[0]
+    while choice > total:
+        i += 1
+        total += distribution[i]
+    return values[i]
+
+def sampleFromCounter(ctr):
+    items = sorted(ctr.items())
+    return sample([v for k,v in items], [k for k,v in items])
+
+def getProbability(value, distribution, values):
+    """
+      Gives the probability of a value under a discrete distribution
+      defined by (distributions, values).
+    """
+    total = 0.0
+    for prob, val in zip(distribution, values):
+        if val == value:
+            total += prob
+    return total
+
+def flipCoin( p ):
+    r = random.random()
+    return r < p
+
+def chooseFromDistribution( distribution ):
+    "Takes either a counter or a list of (prob, key) pairs and samples"
+    if type(distribution) == dict or type(distribution) == Counter:
+        return sample(distribution)
+    r = random.random()
+    base = 0.0
+    for prob, element in distribution:
+        base += prob
+        if r <= base: return element
+
+def nearestPoint( pos ):
+    """
+    Finds the nearest grid point to a position (discretizes).
+    """
+    ( current_row, current_col ) = pos
+
+    grid_row = int( current_row + 0.5 )
+    grid_col = int( current_col + 0.5 )
+    return ( grid_row, grid_col )
+
+def sign( x ):
+    """
+    Returns 1 or -1 depending on the sign of x
+    """
+    if( x >= 0 ):
+        return 1
+    else:
+        return -1
+
+def arrayInvert(array):
+    """
+    Inverts a matrix stored as a list of lists.
+    """
+    result = [[] for i in array]
+    for outer in array:
+        for inner in range(len(outer)):
+            result[inner].append(outer[inner])
+    return result
+
+def matrixAsList( matrix, value = True ):
+    """
+    Turns a matrix into a list of coordinates matching the specified value
+    """
+    rows, cols = len( matrix ), len( matrix[0] )
+    cells = []
+    for row in range( rows ):
+        for col in range( cols ):
+            if matrix[row][col] == value:
+                cells.append( ( row, col ) )
+    return cells
+
+def lookup(name, namespace):
+    """
+    Get a method or class from any imported module from its name.
+    Usage: lookup(functionName, globals())
+    """
+    dots = name.count('.')
+    if dots > 0:
+        moduleName, objName = '.'.join(name.split('.')[:-1]), name.split('.')[-1]
+        module = __import__(moduleName)
+        return getattr(module, objName)
+    else:
+        modules = [obj for obj in namespace.values() if str(type(obj)) == ""]
+        options = [getattr(module, name) for module in modules if name in dir(module)]
+        options += [obj[1] for obj in namespace.items() if obj[0] == name ]
+        if len(options) == 1: return options[0]
+        if len(options) > 1: raise Exception, 'Name conflict for %s'
+        raise Exception, '%s not found as a method or class' % name
+
+def pause():
+    """
+    Pauses the output stream awaiting user feedback.
+    """
+    print ""
+    raw_input()
+
+
+# code to handle timeouts
+#
+# FIXME
+# NOTE: TimeoutFuncton is NOT reentrant.  Later timeouts will silently
+# disable earlier timeouts.  Could be solved by maintaining a global list
+# of active time outs.  Currently, questions which have test cases calling
+# this have all student code so wrapped.
+#
+import signal
+import time
+class TimeoutFunctionException(Exception):
+    """Exception to raise on a timeout"""
+    pass
+
+
+class TimeoutFunction:
+    def __init__(self, function, timeout):
+        self.timeout = timeout
+        self.function = function
+
+    def handle_timeout(self, signum, frame):
+        raise TimeoutFunctionException()
+
+    def __call__(self, *args, **keyArgs):
+        # If we have SIGALRM signal, use it to cause an exception if and
+        # when this function runs too long.  Otherwise check the time taken
+        # after the method has returned, and throw an exception then.
+        if hasattr(signal, 'SIGALRM'):
+            old = signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.alarm(self.timeout)
+            try:
+                result = self.function(*args, **keyArgs)
+            finally:
+                signal.signal(signal.SIGALRM, old)
+            signal.alarm(0)
+        else:
+            startTime = time.time()
+            result = self.function(*args, **keyArgs)
+            timeElapsed = time.time() - startTime
+            if timeElapsed >= self.timeout:
+                self.handle_timeout(None, None)
+        return result
+
+
+
+_ORIGINAL_STDOUT = None
+_ORIGINAL_STDERR = None
+_MUTED = False
+
+class WritableNull:
+    def write(self, string):
+        pass
+
+def mutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if _MUTED:
+        return
+    _MUTED = True
+
+    _ORIGINAL_STDOUT = sys.stdout
+    #_ORIGINAL_STDERR = sys.stderr
+    sys.stdout = WritableNull()
+    #sys.stderr = WritableNull()
+
+def unmutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if not _MUTED:
+        return
+    _MUTED = False
+
+    sys.stdout = _ORIGINAL_STDOUT
+    #sys.stderr = _ORIGINAL_STDERR
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/util.pyc b/cs188-projects-master/P3 Reinforcement Learning/util.pyc
new file mode 100644
index 0000000..58a61ad
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/util.pyc differ
diff --git a/cs188-projects-master/P3 Reinforcement Learning/valueIterationAgents.py b/cs188-projects-master/P3 Reinforcement Learning/valueIterationAgents.py
new file mode 100644
index 0000000..2d02b62
--- /dev/null
+++ b/cs188-projects-master/P3 Reinforcement Learning/valueIterationAgents.py	
@@ -0,0 +1,226 @@
+# valueIterationAgents.py
+# -----------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# valueIterationAgents.py
+# -----------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import mdp, util
+
+from learningAgents import ValueEstimationAgent
+import collections
+
+class ValueIterationAgent(ValueEstimationAgent):
+    """
+        * Please read learningAgents.py before reading this.*
+
+        A ValueIterationAgent takes a Markov decision process
+        (see mdp.py) on initialization and runs value iteration
+        for a given number of iterations using the supplied
+        discount factor.
+    """
+    def __init__(self, mdp, discount = 0.9, iterations = 100):
+        """
+          Your value iteration agent should take an mdp on
+          construction, run the indicated number of iterations
+          and then act according to the resulting policy.
+
+          Some useful mdp methods you will use:
+              mdp.getStates()
+              mdp.getPossibleActions(state)
+              mdp.getTransitionStatesAndProbs(state, action)
+              mdp.getReward(state, action, nextState)
+              mdp.isTerminal(state)
+        """
+        self.mdp = mdp
+        self.discount = discount
+        self.iterations = iterations
+        self.values = util.Counter() # A Counter is a dict with default 0
+        self.runValueIteration()
+
+    def runValueIteration(self):
+        # Write value iteration code here
+        "*** YOUR CODE HERE ***"
+        for i in range(self.iterations):
+          states = self.mdp.getStates()
+          temp_counter = util.Counter()
+          for state in states:
+            max_val = float("-inf")
+            for action in self.mdp.getPossibleActions(state):
+              q_value = self.computeQValueFromValues(state, action)
+              if q_value > max_val:
+                max_val = q_value
+              temp_counter[state] = max_val
+          self.values = temp_counter
+
+    def getValue(self, state):
+        """
+          Return the value of the state (computed in __init__).
+        """
+        return self.values[state]
+
+
+    def computeQValueFromValues(self, state, action):
+        """
+          Compute the Q-value of action in state from the
+          value function stored in self.values.
+        """
+        "*** YOUR CODE HERE ***"
+        action_prob_pairs = self.mdp.getTransitionStatesAndProbs(state, action)
+        total = 0
+        for next_state, prob in action_prob_pairs:
+            reward = self.mdp.getReward(state, action, next_state)
+            total += prob * (reward + self.discount * self.values[next_state])
+        return total
+
+    def computeActionFromValues(self, state):
+        """
+          The policy is the best action in the given state
+          according to the values currently stored in self.values.
+
+          You may break ties any way you see fit.  Note that if
+          there are no legal actions, which is the case at the
+          terminal state, you should return None.
+        """
+        "*** YOUR CODE HERE ***"
+        best_action = None
+        max_val = float("-inf")
+        for action in self.mdp.getPossibleActions(state):
+          q_value = self.computeQValueFromValues(state, action)
+          if q_value > max_val:
+            max_val = q_value
+            best_action = action
+        return best_action
+
+    def getPolicy(self, state):
+        return self.computeActionFromValues(state)
+
+    def getAction(self, state):
+        "Returns the policy at the state (no exploration)."
+        return self.computeActionFromValues(state)
+
+    def getQValue(self, state, action):
+        return self.computeQValueFromValues(state, action)
+
+class AsynchronousValueIterationAgent(ValueIterationAgent):
+    """
+        * Please read learningAgents.py before reading this.*
+
+        An AsynchronousValueIterationAgent takes a Markov decision process
+        (see mdp.py) on initialization and runs cyclic value iteration
+        for a given number of iterations using the supplied
+        discount factor.
+    """
+    def __init__(self, mdp, discount = 0.9, iterations = 1000):
+        """
+          Your cyclic value iteration agent should take an mdp on
+          construction, run the indicated number of iterations,
+          and then act according to the resulting policy. Each iteration
+          updates the value of only one state, which cycles through
+          the states list. If the chosen state is terminal, nothing
+          happens in that iteration.
+
+          Some useful mdp methods you will use:
+              mdp.getStates()
+              mdp.getPossibleActions(state)
+              mdp.getTransitionStatesAndProbs(state, action)
+              mdp.getReward(state)
+              mdp.isTerminal(state)
+        """
+        ValueIterationAgent.__init__(self, mdp, discount, iterations)
+
+    def runValueIteration(self):
+        "*** YOUR CODE HERE ***"
+        states = self.mdp.getStates()
+        num_states = len(states)
+        for i in range(self.iterations):
+          state = states[i % num_states]
+          if not self.mdp.isTerminal(state):
+            values = []
+            for action in self.mdp.getPossibleActions(state):
+              q_value = self.computeQValueFromValues(state, action)
+              values.append(q_value)
+            self.values[state] = max(values)
+
+class PrioritizedSweepingValueIterationAgent(AsynchronousValueIterationAgent):
+    """
+        * Please read learningAgents.py before reading this.*
+
+        A PrioritizedSweepingValueIterationAgent takes a Markov decision process
+        (see mdp.py) on initialization and runs prioritized sweeping value iteration
+        for a given number of iterations using the supplied parameters.
+    """
+    def __init__(self, mdp, discount = 0.9, iterations = 100, theta = 1e-5):
+        """
+          Your prioritized sweeping value iteration agent should take an mdp on
+          construction, run the indicated number of iterations,
+          and then act according to the resulting policy.
+        """
+        self.theta = theta
+        ValueIterationAgent.__init__(self, mdp, discount, iterations)
+
+    def runValueIteration(self):
+        "*** YOUR CODE HERE ***"
+        pq = util.PriorityQueue()
+        predecessors = {}
+        for state in self.mdp.getStates():
+          if not self.mdp.isTerminal(state):
+            for action in self.mdp.getPossibleActions(state):
+              for nextState, prob in self.mdp.getTransitionStatesAndProbs(state, action):
+                if nextState in predecessors:
+                  predecessors[nextState].add(state)
+                else:
+                  predecessors[nextState] = {state}
+
+        for state in self.mdp.getStates():
+          if not self.mdp.isTerminal(state):
+            values = []
+            for action in self.mdp.getPossibleActions(state):
+              q_value = self.computeQValueFromValues(state, action)
+              values.append(q_value)
+            diff = abs(max(values) - self.values[state])
+            pq.update(state, - diff)
+
+        for i in range(self.iterations):
+          if pq.isEmpty():
+            break
+          temp_state = pq.pop()
+          if not self.mdp.isTerminal(temp_state):
+            values = []
+            for action in self.mdp.getPossibleActions(temp_state):
+              q_value = self.computeQValueFromValues(temp_state, action)
+              values.append(q_value)
+            self.values[temp_state] = max(values)
+
+          for p in predecessors[temp_state]:
+            if not self.mdp.isTerminal(p):
+              values = []
+              for action in self.mdp.getPossibleActions(p):
+                q_value = self.computeQValueFromValues(p, action)
+                values.append(q_value)
+              diff = abs(max(values) - self.values[p])
+              if diff > self.theta:
+                pq.update(p, -diff)
+
+
diff --git a/cs188-projects-master/P3 Reinforcement Learning/valueIterationAgents.pyc b/cs188-projects-master/P3 Reinforcement Learning/valueIterationAgents.pyc
new file mode 100644
index 0000000..6da833f
Binary files /dev/null and b/cs188-projects-master/P3 Reinforcement Learning/valueIterationAgents.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/VERSION b/cs188-projects-master/P4 Bayes Nets/VERSION
new file mode 100644
index 0000000..1b32218
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/VERSION	
@@ -0,0 +1 @@
+v2.000
diff --git a/cs188-projects-master/P4 Bayes Nets/autograder.py b/cs188-projects-master/P4 Bayes Nets/autograder.py
new file mode 100644
index 0000000..4abe64d
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/autograder.py	
@@ -0,0 +1,358 @@
+# autograder.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# imports from python standard library
+import grading
+import imp
+import optparse
+import os
+import re
+import sys
+import projectParams
+import random
+random.seed(0)
+try: 
+    from pacman import GameState
+except:
+    pass
+
+# register arguments and set default values
+def readCommand(argv):
+    parser = optparse.OptionParser(description = 'Run public tests on student code')
+    parser.set_defaults(generateSolutions=False, edxOutput=False, gsOutput=False, muteOutput=False, printTestCase=False, noGraphics=False)
+    parser.add_option('--test-directory',
+                      dest = 'testRoot',
+                      default = 'test_cases',
+                      help = 'Root test directory which contains subdirectories corresponding to each question')
+    parser.add_option('--student-code',
+                      dest = 'studentCode',
+                      default = projectParams.STUDENT_CODE_DEFAULT,
+                      help = 'comma separated list of student code files')
+    parser.add_option('--code-directory',
+                    dest = 'codeRoot',
+                    default = "",
+                    help = 'Root directory containing the student and testClass code')
+    parser.add_option('--test-case-code',
+                      dest = 'testCaseCode',
+                      default = projectParams.PROJECT_TEST_CLASSES,
+                      help = 'class containing testClass classes for this project')
+    parser.add_option('--generate-solutions',
+                      dest = 'generateSolutions',
+                      action = 'store_true',
+                      help = 'Write solutions generated to .solution file')
+    parser.add_option('--edx-output',
+                    dest = 'edxOutput',
+                    action = 'store_true',
+                    help = 'Generate edX output files')
+    parser.add_option('--gradescope-output',
+                    dest = 'gsOutput',
+                    action = 'store_true',
+                    help = 'Generate GradeScope output files')
+    parser.add_option('--mute',
+                    dest = 'muteOutput',
+                    action = 'store_true',
+                    help = 'Mute output from executing tests')
+    parser.add_option('--print-tests', '-p',
+                    dest = 'printTestCase',
+                    action = 'store_true',
+                    help = 'Print each test case before running them.')
+    parser.add_option('--test', '-t',
+                      dest = 'runTest',
+                      default = None,
+                      help = 'Run one particular test.  Relative to test root.')
+    parser.add_option('--question', '-q',
+                    dest = 'gradeQuestion',
+                    default = None,
+                    help = 'Grade one particular question.')
+    parser.add_option('--no-graphics',
+                    dest = 'noGraphics',
+                    action = 'store_true',
+                    help = 'No graphics display for pacman games.')
+    (options, args) = parser.parse_args(argv)
+    return options
+
+
+# confirm we should author solution files
+def confirmGenerate():
+    print 'WARNING: this action will overwrite any solution files.'
+    print 'Are you sure you want to proceed? (yes/no)'
+    while True:
+        ans = sys.stdin.readline().strip()
+        if ans == 'yes':
+            break
+        elif ans == 'no':
+            sys.exit(0)
+        else:
+            print 'please answer either "yes" or "no"'
+
+
+# TODO: Fix this so that it tracebacks work correctly
+# Looking at source of the traceback module, presuming it works
+# the same as the intepreters, it uses co_filename.  This is,
+# however, a readonly attribute.
+def setModuleName(module, filename):
+    functionType = type(confirmGenerate)
+    classType = type(optparse.Option)
+
+    for i in dir(module):
+        o = getattr(module, i)
+        if hasattr(o, '__file__'): continue
+
+        if type(o) == functionType:
+            setattr(o, '__file__', filename)
+        elif type(o) == classType:
+            setattr(o, '__file__', filename)
+            # TODO: assign member __file__'s?
+        #print i, type(o)
+
+
+#from cStringIO import StringIO
+
+def loadModuleString(moduleSource):
+    # Below broken, imp doesn't believe its being passed a file:
+    #    ValueError: load_module arg#2 should be a file or None
+    #
+    #f = StringIO(moduleCodeDict[k])
+    #tmp = imp.load_module(k, f, k, (".py", "r", imp.PY_SOURCE))
+    tmp = imp.new_module(k)
+    exec moduleCodeDict[k] in tmp.__dict__
+    setModuleName(tmp, k)
+    return tmp
+
+import py_compile
+
+def loadModuleFile(moduleName, filePath):
+    with open(filePath, 'r') as f:
+        return imp.load_module(moduleName, f, "%s.py" % moduleName, (".py", "r", imp.PY_SOURCE))
+
+
+def readFile(path, root=""):
+    "Read file from disk at specified path and return as string"
+    with open(os.path.join(root, path), 'r') as handle:
+        return handle.read()
+
+
+#######################################################################
+# Error Hint Map
+#######################################################################
+
+# TODO: use these
+ERROR_HINT_MAP = {
+  'q1': {
+    "": """
+      We noticed that your project threw an IndexError on q1.
+      While many things may cause this, it may have been from
+      assuming a certain number of successors from a state space
+      or assuming a certain number of actions available from a given
+      state. Try making your code more general (no hardcoded indices)
+      and submit again!
+    """
+  },
+  'q3': {
+      "": """
+        We noticed that your project threw an AttributeError on q3.
+        While many things may cause this, it may have been from assuming
+        a certain size or structure to the state space. For example, if you have
+        a line of code assuming that the state is (x, y) and we run your code
+        on a state space with (x, y, z), this error could be thrown. Try
+        making your code more general and submit again!
+
+    """
+  }
+}
+
+import pprint
+
+def splitStrings(d):
+    d2 = dict(d)
+    for k in d:
+        if k[0:2] == "__":
+            del d2[k]
+            continue
+        if d2[k].find("\n") >= 0:
+            d2[k] = d2[k].split("\n")
+    return d2
+
+
+def printTest(testDict, solutionDict):
+    pp = pprint.PrettyPrinter(indent=4)
+    print "Test case:"
+    for line in testDict["__raw_lines__"]:
+        print "   |", line
+    print "Solution:"
+    for line in solutionDict["__raw_lines__"]:
+        print "   |", line
+
+
+def runTest(testName, moduleDict, printTestCase=False, display=None):
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    testDict = testParser.TestParser(testName + ".test").parse()
+    solutionDict = testParser.TestParser(testName + ".solution").parse()
+    test_out_file = os.path.join('%s.test_output' % testName)
+    testDict['test_out_file'] = test_out_file
+    testClass = getattr(projectTestClasses, testDict['class'])
+
+    questionClass = getattr(testClasses, 'Question')
+    question = questionClass({'max_points': 0}, display)
+    testCase = testClass(question, testDict)
+
+    if printTestCase:
+        printTest(testDict, solutionDict)
+
+    # This is a fragile hack to create a stub grades object
+    grades = grading.Grades(projectParams.PROJECT_NAME, [(None,0)])
+    testCase.execute(grades, moduleDict, solutionDict)
+
+
+# returns all the tests you need to run in order to run question
+def getDepends(testParser, testRoot, question):
+    allDeps = [question]
+    questionDict = testParser.TestParser(os.path.join(testRoot, question, 'CONFIG')).parse()
+    if 'depends' in questionDict:
+        depends = questionDict['depends'].split()
+        for d in depends:
+            # run dependencies first
+            allDeps = getDepends(testParser, testRoot, d) + allDeps
+    return allDeps
+
+# get list of questions to grade
+def getTestSubdirs(testParser, testRoot, questionToGrade):
+    problemDict = testParser.TestParser(os.path.join(testRoot, 'CONFIG')).parse()
+    if questionToGrade != None:
+        questions = getDepends(testParser, testRoot, questionToGrade)
+        if len(questions) > 1:
+            print 'Note: due to dependencies, the following tests will be run: %s' % ' '.join(questions)
+        return questions
+    if 'order' in problemDict:
+        return problemDict['order'].split()
+    return sorted(os.listdir(testRoot))
+
+
+# evaluate student code
+def evaluate(generateSolutions, testRoot, moduleDict, exceptionMap=ERROR_HINT_MAP,
+             edxOutput=False, muteOutput=False, gsOutput=False,
+            printTestCase=False, questionToGrade=None, display=None):
+    # imports of testbench code.  note that the testClasses import must follow
+    # the import of student code due to dependencies
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    questions = []
+    questionDicts = {}
+    test_subdirs = getTestSubdirs(testParser, testRoot, questionToGrade)
+    for q in test_subdirs:
+        subdir_path = os.path.join(testRoot, q)
+        if not os.path.isdir(subdir_path) or q[0] == '.':
+            continue
+
+        # create a question object
+        questionDict = testParser.TestParser(os.path.join(subdir_path, 'CONFIG')).parse()
+        questionClass = getattr(testClasses, questionDict['class'])
+        question = questionClass(questionDict, display)
+        questionDicts[q] = questionDict
+
+        # load test cases into question
+        tests = filter(lambda t: re.match('[^#~.].*\.test\Z', t), os.listdir(subdir_path))
+        tests = map(lambda t: re.match('(.*)\.test\Z', t).group(1), tests)
+        for t in sorted(tests):
+            test_file = os.path.join(subdir_path, '%s.test' % t)
+            solution_file = os.path.join(subdir_path, '%s.solution' % t)
+            test_out_file = os.path.join(subdir_path, '%s.test_output' % t)
+            testDict = testParser.TestParser(test_file).parse()
+            if testDict.get("disabled", "false").lower() == "true":
+                continue
+            testDict['test_out_file'] = test_out_file
+            testClass = getattr(projectTestClasses, testDict['class'])
+            testCase = testClass(question, testDict)
+            def makefun(testCase, solution_file):
+                if generateSolutions:
+                    # write solution file to disk
+                    return lambda grades: testCase.writeSolution(moduleDict, solution_file)
+                else:
+                    # read in solution dictionary and pass as an argument
+                    testDict = testParser.TestParser(test_file).parse()
+                    solutionDict = testParser.TestParser(solution_file).parse()
+                    if printTestCase:
+                        return lambda grades: printTest(testDict, solutionDict) or testCase.execute(grades, moduleDict, solutionDict)
+                    else:
+                        return lambda grades: testCase.execute(grades, moduleDict, solutionDict)
+            question.addTestCase(testCase, makefun(testCase, solution_file))
+
+        # Note extra function is necessary for scoping reasons
+        def makefun(question):
+            return lambda grades: question.execute(grades)
+        setattr(sys.modules[__name__], q, makefun(question))
+        questions.append((q, question.getMaxPoints()))
+
+    grades = grading.Grades(projectParams.PROJECT_NAME, questions,
+                            gsOutput=gsOutput, edxOutput=edxOutput, muteOutput=muteOutput)
+    if questionToGrade == None:
+        for q in questionDicts:
+            for prereq in questionDicts[q].get('depends', '').split():
+                grades.addPrereq(q, prereq)
+
+    grades.grade(sys.modules[__name__], bonusPic = projectParams.BONUS_PIC)
+    return grades.points
+
+
+
+def getDisplay(graphicsByDefault, options=None):
+    graphics = graphicsByDefault
+    if options is not None and options.noGraphics:
+        graphics = False
+    if graphics:
+        try:
+            import graphicsDisplay
+            return graphicsDisplay.PacmanGraphics(1, frameTime=.05)
+        except ImportError:
+            pass
+    import textDisplay
+    return textDisplay.NullGraphics()
+
+
+
+
+if __name__ == '__main__':
+    options = readCommand(sys.argv)
+    if options.generateSolutions:
+        confirmGenerate()
+    codePaths = options.studentCode.split(',')
+    # moduleCodeDict = {}
+    # for cp in codePaths:
+    #     moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+    #     moduleCodeDict[moduleName] = readFile(cp, root=options.codeRoot)
+    # moduleCodeDict['projectTestClasses'] = readFile(options.testCaseCode, root=options.codeRoot)
+    # moduleDict = loadModuleDict(moduleCodeDict)
+
+    moduleDict = {}
+    for cp in codePaths:
+        moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+        moduleDict[moduleName] = loadModuleFile(moduleName, os.path.join(options.codeRoot, cp))
+    moduleName = re.match('.*?([^/]*)\.py', options.testCaseCode).group(1)
+    moduleDict['projectTestClasses'] = loadModuleFile(moduleName, os.path.join(options.codeRoot, options.testCaseCode))
+
+
+    if options.runTest != None:
+        runTest(options.runTest, moduleDict, printTestCase=options.printTestCase, display=getDisplay(True, options))
+    else:
+        evaluate(options.generateSolutions, options.testRoot, moduleDict,
+            gsOutput=options.gsOutput,
+            edxOutput=options.edxOutput, muteOutput=options.muteOutput, printTestCase=options.printTestCase,
+            questionToGrade=options.gradeQuestion, display=getDisplay(options.gradeQuestion!=None, options))
diff --git a/cs188-projects-master/P4 Bayes Nets/bayesAgents.py b/cs188-projects-master/P4 Bayes Nets/bayesAgents.py
new file mode 100644
index 0000000..24ea6d6
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/bayesAgents.py	
@@ -0,0 +1,573 @@
+# bayesAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import bayesNet as bn
+import game
+from game import Actions, Agent, Directions
+import inference
+import layout
+import factorOperations
+import itertools
+import operator as op
+import random
+import util
+
+from hunters import GHOST_COLLISION_REWARD, WON_GAME_REWARD
+from layout import PROB_BOTH_TOP, PROB_BOTH_BOTTOM, PROB_ONLY_LEFT_TOP, \
+    PROB_ONLY_LEFT_BOTTOM, PROB_FOOD_RED, PROB_GHOST_RED
+
+X_POS_VAR = "xPos"
+FOOD_LEFT_VAL = "foodLeft"
+GHOST_LEFT_VAL = "ghostLeft"
+X_POS_VALS = [FOOD_LEFT_VAL, GHOST_LEFT_VAL]
+
+Y_POS_VAR = "yPos"
+BOTH_TOP_VAL = "bothTop"
+BOTH_BOTTOM_VAL = "bothBottom"
+LEFT_TOP_VAL = "leftTop"
+LEFT_BOTTOM_VAL = "leftBottom"
+Y_POS_VALS = [BOTH_TOP_VAL, BOTH_BOTTOM_VAL, LEFT_TOP_VAL, LEFT_BOTTOM_VAL]
+
+FOOD_HOUSE_VAR = "foodHouse"
+GHOST_HOUSE_VAR = "ghostHouse"
+HOUSE_VARS = [FOOD_HOUSE_VAR, GHOST_HOUSE_VAR]
+
+TOP_LEFT_VAL = "topLeft"
+TOP_RIGHT_VAL = "topRight"
+BOTTOM_LEFT_VAL = "bottomLeft"
+BOTTOM_RIGHT_VAL = "bottomRight"
+HOUSE_VALS = [TOP_LEFT_VAL, TOP_RIGHT_VAL, BOTTOM_LEFT_VAL, BOTTOM_RIGHT_VAL]
+
+OBS_VAR_TEMPLATE = "obs(%d,%d)"
+
+BLUE_OBS_VAL = "blue"
+RED_OBS_VAL = "red"
+NO_OBS_VAL = "none"
+OBS_VALS = [BLUE_OBS_VAL, RED_OBS_VAL, NO_OBS_VAL]
+
+ENTER_LEFT = 0
+ENTER_RIGHT = 1
+EXPLORE = 2
+
+def constructBayesNet(gameState):
+    """
+    Question 1: Bayes net structure
+
+    Construct an empty Bayes net according to the structure given in the project
+    description.
+
+    There are 5 kinds of variables in this Bayes net:
+    - a single "x position" variable (controlling the x pos of the houses)
+    - a single "y position" variable (controlling the y pos of the houses)
+    - a single "food house" variable (containing the house centers)
+    - a single "ghost house" variable (containing the house centers)
+    - a large number of "observation" variables for each cell Pacman can measure
+
+    You *must* name all position and house variables using the constants
+    (X_POS_VAR, FOOD_HOUSE_VAR, etc.) at the top of this file. 
+
+    The full set of observation variables can be obtained as follows:
+
+        for housePos in gameState.getPossibleHouses():
+            for obsPos in gameState.getHouseWalls(housePos)
+                obsVar = OBS_VAR_TEMPLATE % obsPos
+
+    In this method, you should:
+    - populate `obsVars` using the procedure above
+    - populate `edges` with every edge in the Bayes Net (a tuple `(from, to)`)
+    - set each `variableDomainsDict[var] = values`, where `values` is the set
+      of possible assignments to `var`. These should again be set using the
+      constants defined at the top of this file.
+    """
+
+    "*** YOUR CODE HERE ***"
+    obsVars = []
+    edges = []
+    variableDomainsDict = {}
+
+    variableDomainsDict[X_POS_VAR] = X_POS_VALS
+    variableDomainsDict[Y_POS_VAR] = Y_POS_VALS
+    variableDomainsDict[FOOD_HOUSE_VAR] = HOUSE_VALS
+    variableDomainsDict[GHOST_HOUSE_VAR] = HOUSE_VALS
+
+    edges.append((X_POS_VAR, GHOST_HOUSE_VAR))
+    edges.append((X_POS_VAR, FOOD_HOUSE_VAR))
+    edges.append((Y_POS_VAR, FOOD_HOUSE_VAR))
+    edges.append((Y_POS_VAR, GHOST_HOUSE_VAR))
+
+    for housePos in gameState.getPossibleHouses():
+        for obsPos in gameState.getHouseWalls(housePos):
+            obsVar = OBS_VAR_TEMPLATE % obsPos
+            obsVars.append(obsVar)
+            variableDomainsDict[obsVar] = OBS_VALS
+
+    for obsVar in obsVars:
+        edges.append((FOOD_HOUSE_VAR, obsVar))
+        edges.append((GHOST_HOUSE_VAR, obsVar))
+
+    variables = [X_POS_VAR, Y_POS_VAR] + HOUSE_VARS + obsVars
+    net = bn.constructEmptyBayesNet(variables, edges, variableDomainsDict)
+    return net, obsVars
+
+def fillCPTs(bayesNet, gameState):
+    fillXCPT(bayesNet, gameState)
+    fillYCPT(bayesNet, gameState)
+    fillHouseCPT(bayesNet, gameState)
+    fillObsCPT(bayesNet, gameState)
+
+def fillXCPT(bayesNet, gameState):
+    from layout import PROB_FOOD_LEFT 
+    xFactor = bn.Factor([X_POS_VAR], [], bayesNet.variableDomainsDict())
+    xFactor.setProbability({X_POS_VAR: FOOD_LEFT_VAL}, PROB_FOOD_LEFT)
+    xFactor.setProbability({X_POS_VAR: GHOST_LEFT_VAL}, 1 - PROB_FOOD_LEFT)
+    bayesNet.setCPT(X_POS_VAR, xFactor)
+
+def fillYCPT(bayesNet, gameState):
+    """
+    Question 2a: Bayes net probabilities
+
+    Fill the CPT that gives the prior probability over the y position variable.
+    See the definition of `fillXCPT` above for an example of how to do this.
+    You can use the PROB_* constants imported from layout rather than writing
+    probabilities down by hand.
+    """
+
+    yFactor = bn.Factor([Y_POS_VAR], [], bayesNet.variableDomainsDict())
+    "*** YOUR CODE HERE ***"
+    yFactor.setProbability({Y_POS_VAR: BOTH_TOP_VAL}, PROB_BOTH_TOP)
+    yFactor.setProbability({Y_POS_VAR: BOTH_BOTTOM_VAL}, PROB_BOTH_BOTTOM)
+    yFactor.setProbability({Y_POS_VAR: LEFT_TOP_VAL}, PROB_ONLY_LEFT_TOP)
+    yFactor.setProbability({Y_POS_VAR: LEFT_BOTTOM_VAL}, PROB_ONLY_LEFT_BOTTOM)
+    bayesNet.setCPT(Y_POS_VAR, yFactor)
+
+def fillHouseCPT(bayesNet, gameState):
+    foodHouseFactor = bn.Factor([FOOD_HOUSE_VAR], [X_POS_VAR, Y_POS_VAR], bayesNet.variableDomainsDict())
+    for assignment in foodHouseFactor.getAllPossibleAssignmentDicts():
+        left = assignment[X_POS_VAR] == FOOD_LEFT_VAL
+        top = assignment[Y_POS_VAR] == BOTH_TOP_VAL or \
+                (left and assignment[Y_POS_VAR] == LEFT_TOP_VAL)
+
+        if top and left and assignment[FOOD_HOUSE_VAR] == TOP_LEFT_VAL or \
+                top and not left and assignment[FOOD_HOUSE_VAR] == TOP_RIGHT_VAL or \
+                not top and left and assignment[FOOD_HOUSE_VAR] == BOTTOM_LEFT_VAL or \
+                not top and not left and assignment[FOOD_HOUSE_VAR] == BOTTOM_RIGHT_VAL:
+            prob = 1
+        else:
+            prob = 0
+
+        foodHouseFactor.setProbability(assignment, prob)
+    bayesNet.setCPT(FOOD_HOUSE_VAR, foodHouseFactor)
+
+    ghostHouseFactor = bn.Factor([GHOST_HOUSE_VAR], [X_POS_VAR, Y_POS_VAR], bayesNet.variableDomainsDict())
+    for assignment in ghostHouseFactor.getAllPossibleAssignmentDicts():
+        left = assignment[X_POS_VAR] == GHOST_LEFT_VAL
+        top = assignment[Y_POS_VAR] == BOTH_TOP_VAL or \
+                (left and assignment[Y_POS_VAR] == LEFT_TOP_VAL)
+
+        if top and left and assignment[GHOST_HOUSE_VAR] == TOP_LEFT_VAL or \
+                top and not left and assignment[GHOST_HOUSE_VAR] == TOP_RIGHT_VAL or \
+                not top and left and assignment[GHOST_HOUSE_VAR] == BOTTOM_LEFT_VAL or \
+                not top and not left and assignment[GHOST_HOUSE_VAR] == BOTTOM_RIGHT_VAL:
+            prob = 1
+        else:
+            prob = 0
+
+        ghostHouseFactor.setProbability(assignment, prob)
+    bayesNet.setCPT(GHOST_HOUSE_VAR, ghostHouseFactor)
+
+def fillObsCPT(bayesNet, gameState):
+    """
+    Question 2b: Bayes net probabilities
+
+    Fill the CPT that gives the probability of an observation in each square,
+    given the locations of the food and ghost houses. Refer to the project
+    description for what this probability table looks like. You can use
+    PROB_FOOD_RED and PROB_GHOST_RED from the top of the file.
+
+    You will need to create a new factor for *each* of 4*7 = 28 observation
+    variables. Don't forget to call bayesNet.setCPT for each factor you create.
+
+    The XXXPos variables at the beginning of this method contain the (x, y)
+    coordinates of each possible house location.
+
+    IMPORTANT:
+    Because of the particular choice of probabilities higher up in the Bayes
+    net, it will never be the case that the ghost house and the food house are
+    in the same place. However, the CPT for observations must still include a
+    vaild probability distribution for this case. To conform with the
+    autograder, use the *food house distribution* over colors when both the food
+    house and ghost house are assigned to the same cell.
+    """
+    "*** YOUR CODE HERE ***"
+    house_locations = gameState.getPossibleHouses()
+    for housePos in house_locations:
+        for obsPos in gameState.getHouseWalls(housePos):
+            obsVar = OBS_VAR_TEMPLATE % obsPos
+            obsVarFactor = bn.Factor([obsVar], [FOOD_HOUSE_VAR, GHOST_HOUSE_VAR], bayesNet.variableDomainsDict())
+            obsCPT = obsVarFactor.getAllPossibleAssignmentDicts()
+            for row in obsCPT:
+                ghostHouseVal = row[GHOST_HOUSE_VAR]
+                foodHouseVal = row[FOOD_HOUSE_VAR]
+                color = row[obsVar]
+                quadrant = getAdjQuadrant(gameState, obsPos)
+                prob = 0
+
+                if quadrant != ghostHouseVal and quadrant != foodHouseVal:
+                    if color == RED_OBS_VAL:
+                        prob = 0
+                    elif color == BLUE_OBS_VAL:
+                        prob = 0
+                    elif color == NO_OBS_VAL:
+                        prob = 1
+                elif ghostHouseVal == foodHouseVal or foodHouseVal == quadrant:
+                    if color == RED_OBS_VAL:
+                        prob = PROB_FOOD_RED
+                    elif color == BLUE_OBS_VAL:
+                        prob = 1 - PROB_FOOD_RED
+                    elif color == NO_OBS_VAL:
+                        prob = 0
+                elif quadrant == ghostHouseVal:
+                    if color == RED_OBS_VAL:
+                        prob = PROB_GHOST_RED
+                    elif color == BLUE_OBS_VAL:
+                        prob = 1 - PROB_GHOST_RED
+                    elif color == NO_OBS_VAL:
+                        prob = 0
+                obsVarFactor.setProbability(row, prob)
+            bayesNet.setCPT(obsVar, obsVarFactor)    
+
+
+def getAdjQuadrant(gameState, obsPos):
+    dist = float("inf")
+    adjacentHouse = None
+    for house in gameState.getPossibleHouses():
+        temp = util.manhattanDistance(obsPos, house)
+        if temp < dist:
+            dist = temp
+            adjacentHouse = house
+
+    bottomLeftPos, topLeftPos, bottomRightPos, topRightPos = gameState.getPossibleHouses()
+    if adjacentHouse == bottomLeftPos:
+        return BOTTOM_LEFT_VAL
+    if adjacentHouse == topLeftPos:
+        return TOP_LEFT_VAL
+    if adjacentHouse == bottomRightPos:
+        return BOTTOM_RIGHT_VAL
+    else:
+        return TOP_RIGHT_VAL
+
+def getMostLikelyFoodHousePosition(evidence, bayesNet, eliminationOrder):
+    """
+    Question 7: Marginal inference for pacman
+
+    Find the most probable position for the food house.
+    First, call the variable elimination method you just implemented to obtain
+    p(FoodHouse | everything else). Then, inspect the resulting probability
+    distribution to find the most probable location of the food house. Return
+    this.
+
+    (This should be a very short method.)
+    """
+    "*** YOUR CODE HERE ***"
+    from inference import inferenceByVariableElimination
+    query_factor = inferenceByVariableElimination(bayesNet, FOOD_HOUSE_VAR, evidence, eliminationOrder)
+    best_assignment = None
+    prob = 0
+    for assignment in query_factor.getAllPossibleAssignmentDicts():
+        temp_prob = query_factor.getProbability(assignment)
+        if temp_prob > prob:
+            prob = temp_prob
+            best_assignment = assignment
+    return best_assignment
+
+class BayesAgent(game.Agent):
+
+    def registerInitialState(self, gameState):
+        self.bayesNet, self.obsVars = constructBayesNet(gameState)
+        fillCPTs(self.bayesNet, gameState)
+
+        self.distances = cacheDistances(gameState)
+        self.visited = set()
+        self.steps = 0
+
+    def getAction(self, gameState):
+        self.visited.add(gameState.getPacmanPosition())
+        self.steps += 1
+
+        if self.steps < 40:
+            return self.getRandomAction(gameState)
+        else:
+            return self.goToBest(gameState)
+
+    def getRandomAction(self, gameState):
+        legal = list(gameState.getLegalActions())
+        legal.remove(Directions.STOP)
+        random.shuffle(legal)
+        successors = [gameState.generatePacmanSuccessor(a).getPacmanPosition() for a in legal]
+        ls = [(a, s) for a, s in zip(legal, successors) if s not in gameState.getPossibleHouses()]
+        ls.sort(key=lambda p: p[1] in self.visited)
+        return ls[0][0]
+
+    def getEvidence(self, gameState):
+        evidence = {}
+        for ePos, eColor in gameState.getEvidence().items():
+            obsVar = OBS_VAR_TEMPLATE % ePos
+            obsVal = {
+                "B": BLUE_OBS_VAL,
+                "R": RED_OBS_VAL,
+                " ": NO_OBS_VAL
+            }[eColor]
+            evidence[obsVar] = obsVal
+        return evidence
+
+    def goToBest(self, gameState):
+        evidence = self.getEvidence(gameState)
+        unknownVars = [o for o in self.obsVars if o not in evidence]
+        eliminationOrder = unknownVars + [X_POS_VAR, Y_POS_VAR, GHOST_HOUSE_VAR]
+        bestFoodAssignment = getMostLikelyFoodHousePosition(evidence, 
+                self.bayesNet, eliminationOrder)
+
+        tx, ty = dict(
+            zip([BOTTOM_LEFT_VAL, TOP_LEFT_VAL, BOTTOM_RIGHT_VAL, TOP_RIGHT_VAL],
+                gameState.getPossibleHouses()))[bestFoodAssignment[FOOD_HOUSE_VAR]]
+        bestAction = None
+        bestDist = float("inf")
+        for action in gameState.getLegalActions():
+            succ = gameState.generatePacmanSuccessor(action)
+            nextPos = succ.getPacmanPosition()
+            dist = self.distances[nextPos, (tx, ty)]
+            if dist < bestDist:
+                bestDist = dist
+                bestAction = action
+        return bestAction
+
+class VPIAgent(BayesAgent):
+
+    def __init__(self):
+        BayesAgent.__init__(self)
+        self.behavior = None
+        NORTH = Directions.NORTH
+        SOUTH = Directions.SOUTH
+        EAST = Directions.EAST
+        WEST = Directions.WEST
+        self.exploreActionsRemaining = \
+                list(reversed([NORTH, NORTH, NORTH, NORTH, EAST, EAST, EAST,
+                    EAST, SOUTH, SOUTH, SOUTH, SOUTH, WEST, WEST, WEST, WEST]))
+
+    def reveal(self, gameState):
+        bottomLeftPos, topLeftPos, bottomRightPos, topRightPos = \
+                gameState.getPossibleHouses()
+        for housePos in [bottomLeftPos, topLeftPos, bottomRightPos]:
+            for ox, oy in gameState.getHouseWalls(housePos):
+                gameState.data.observedPositions[ox][oy] = True
+
+    def computeEnterValues(self, evidence, eliminationOrder):
+        """
+        Question 8a: Value of perfect information
+
+        Given the evidence, compute the value of entering the left and right
+        houses immediately. You can do this by obtaining the joint distribution
+        over the food and ghost house positions using your inference procedure.
+        The reward associated with entering each house is given in the *_REWARD
+        variables at the top of the file.
+
+        *Do not* take into account the "time elapsed" cost of traveling to each
+        of the houses---this is calculated elsewhere in the code.
+        """
+        "*** YOUR CODE HERE ***"
+        from inference import inferenceByVariableElimination
+        query_factor = inferenceByVariableElimination(self.bayesNet, HOUSE_VARS, evidence, eliminationOrder)
+        p_food_left, p_food_right = 0, 0
+        for assignment in query_factor.getAllPossibleAssignmentDicts():
+            if assignment[FOOD_HOUSE_VAR] == TOP_LEFT_VAL and assignment[GHOST_HOUSE_VAR] == TOP_RIGHT_VAL:
+                p_food_left = query_factor.getProbability(assignment)
+            elif assignment[FOOD_HOUSE_VAR] == TOP_RIGHT_VAL and assignment[GHOST_HOUSE_VAR] == TOP_LEFT_VAL:
+                p_food_right = query_factor.getProbability(assignment)
+
+        leftExpectedValue = p_food_left * WON_GAME_REWARD + (1  - p_food_left) * GHOST_COLLISION_REWARD
+        rightExpectedValue = p_food_right * WON_GAME_REWARD + (1 - p_food_right) * GHOST_COLLISION_REWARD
+
+        return leftExpectedValue, rightExpectedValue
+
+    def getExplorationProbsAndOutcomes(self, evidence):
+        unknownVars = [o for o in self.obsVars if o not in evidence]
+        assert len(unknownVars) == 7
+        assert len(set(evidence.keys()) & set(unknownVars)) == 0
+        firstUnk = unknownVars[0]
+        restUnk = unknownVars[1:]
+
+        unknownVars = [o for o in self.obsVars if o not in evidence]
+        eliminationOrder = unknownVars + [X_POS_VAR, Y_POS_VAR]
+        houseMarginals = inference.inferenceByVariableElimination(self.bayesNet,
+                [FOOD_HOUSE_VAR, GHOST_HOUSE_VAR], evidence, eliminationOrder)
+
+        probs = [0 for i in range(8)]
+        outcomes = []
+        for nRed in range(8):
+            outcomeVals = [RED_OBS_VAL] * nRed + [BLUE_OBS_VAL] * (7 - nRed)
+            outcomeEvidence = dict(zip(unknownVars, outcomeVals))
+            outcomeEvidence.update(evidence)
+            outcomes.append(outcomeEvidence)
+
+        for foodHouseVal, ghostHouseVal in [(TOP_LEFT_VAL, TOP_RIGHT_VAL),
+                (TOP_RIGHT_VAL, TOP_LEFT_VAL)]:
+
+            condEvidence = dict(evidence)
+            condEvidence.update({FOOD_HOUSE_VAR: foodHouseVal, 
+                GHOST_HOUSE_VAR: ghostHouseVal})
+            assignmentProb = houseMarginals.getProbability(condEvidence)
+
+            oneObsMarginal = inference.inferenceByVariableElimination(self.bayesNet,
+                    [firstUnk], condEvidence, restUnk + [X_POS_VAR, Y_POS_VAR])
+
+            assignment = oneObsMarginal.getAllPossibleAssignmentDicts()[0]
+            assignment[firstUnk] = RED_OBS_VAL
+            redProb = oneObsMarginal.getProbability(assignment)
+
+            for nRed in range(8):
+                outcomeProb = combinations(7, nRed) * \
+                        redProb ** nRed * (1 - redProb) ** (7 - nRed)
+                outcomeProb *= assignmentProb
+                probs[nRed] += outcomeProb
+
+        return list(zip(probs, outcomes))
+
+    def computeExploreValue(self, evidence, enterEliminationOrder):
+        """
+        Question 8b: Value of perfect information
+
+        Compute the expected value of first exploring the remaining unseen
+        house, and then entering the house with highest expected value.
+
+        The method `getExplorationProbsAndOutcomes` returns pairs of the form
+        (prob, explorationEvidence), where `evidence` is a new evidence
+        dictionary with all of the missing observations filled in, and `prob` is
+        the probability of that set of observations occurring.
+
+        You can use your implementation of getExplorationProbsAndOutcomes to
+        determine the expected value of acting with this extra evidence.
+        """
+
+        "*** YOUR CODE HERE ***"
+        expectedValue = 0
+        for prob, explorationEvidence in self.getExplorationProbsAndOutcomes(evidence):
+            new_evidence = evidence.copy()
+            new_evidence.update(explorationEvidence)
+            left, right = self.computeEnterValues(new_evidence, enterEliminationOrder)
+            expected_enter_val = max(left, right)
+            expectedValue += expected_enter_val * prob
+        return expectedValue
+
+    def getAction(self, gameState):
+
+        if self.behavior == None:
+            self.reveal(gameState)
+            evidence = self.getEvidence(gameState)
+            unknownVars = [o for o in self.obsVars if o not in evidence]
+            enterEliminationOrder = unknownVars + [X_POS_VAR, Y_POS_VAR]
+            exploreEliminationOrder = [X_POS_VAR, Y_POS_VAR]
+
+            print evidence
+            print enterEliminationOrder
+            print exploreEliminationOrder
+            enterLeftValue, enterRightValue = \
+                    self.computeEnterValues(evidence, enterEliminationOrder)
+            exploreValue = self.computeExploreValue(evidence,
+                    exploreEliminationOrder)
+
+            # TODO double-check
+            enterLeftValue -= 4
+            enterRightValue -= 4
+            exploreValue -= 20
+
+            bestValue = max(enterLeftValue, enterRightValue, exploreValue)
+            if bestValue == enterLeftValue:
+                self.behavior = ENTER_LEFT
+            elif bestValue == enterRightValue:
+                self.behavior = ENTER_RIGHT
+            else:
+                self.behavior = EXPLORE
+
+            # pause 1 turn to reveal the visible parts of the map
+            return Directions.STOP
+
+        if self.behavior == ENTER_LEFT:
+            return self.enterAction(gameState, left=True)
+        elif self.behavior == ENTER_RIGHT:
+            return self.enterAction(gameState, left=False)
+        else:
+            return self.exploreAction(gameState)
+
+    def enterAction(self, gameState, left=True):
+        bottomLeftPos, topLeftPos, bottomRightPos, topRightPos = \
+                gameState.getPossibleHouses()
+
+        dest = topLeftPos if left else topRightPos
+
+        actions = gameState.getLegalActions()
+        neighbors = [gameState.generatePacmanSuccessor(a) for a in actions]
+        neighborStates = [s.getPacmanPosition() for s in neighbors]
+        best = min(zip(actions, neighborStates), 
+                key=lambda x: self.distances[x[1], dest])
+        return best[0]
+
+    def exploreAction(self, gameState):
+        if self.exploreActionsRemaining:
+            return self.exploreActionsRemaining.pop()
+
+        evidence = self.getEvidence(gameState)
+        enterLeftValue, enterRightValue = self.computeEnterValues(evidence,
+                [X_POS_VAR, Y_POS_VAR])
+
+        if enterLeftValue > enterRightValue:
+            self.behavior = ENTER_LEFT
+            return self.enterAction(gameState, left=True)
+        else:
+            self.behavior = ENTER_RIGHT
+            return self.enterAction(gameState, left=False)
+
+def cacheDistances(state):
+    width, height = state.data.layout.width, state.data.layout.height
+    states = [(x, y) for x in range(width) for y in range(height)]
+    walls = state.getWalls().asList() + state.data.layout.redWalls.asList() + state.data.layout.blueWalls.asList()
+    states = [s for s in states if s not in walls]
+    distances = {}
+    for i in states:
+        for j in states:
+            if i == j:
+                distances[i, j] = 0
+            elif util.manhattanDistance(i, j) == 1:
+                distances[i, j] = 1
+            else:
+                distances[i, j] = 999999
+    for k in states:
+        for i in states:
+            for j in states:
+                if distances[i,j] > distances[i,k] + distances[k,j]:
+                    distances[i,j] = distances[i,k] + distances[k,j]
+
+    return distances
+
+# http://stackoverflow.com/questions/4941753/is-there-a-math-ncr-function-in-python
+def combinations(n, r):
+    r = min(r, n-r)
+    if r == 0: return 1
+    numer = reduce(op.mul, xrange(n, n-r, -1))
+    denom = reduce(op.mul, xrange(1, r+1))
+    return numer / denom
+
+
+
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/bayesAgents.pyc b/cs188-projects-master/P4 Bayes Nets/bayesAgents.pyc
new file mode 100644
index 0000000..51a5074
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/bayesAgents.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/bayesNet.py b/cs188-projects-master/P4 Bayes Nets/bayesNet.py
new file mode 100644
index 0000000..8044da8
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/bayesNet.py	
@@ -0,0 +1,851 @@
+# bayesNet.py
+# -----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import itertools
+from collections import defaultdict
+import random
+from copy import deepcopy, copy
+
+class BayesNet(object):
+
+    def __init__(self, variables, inputInEdges, inputOutEdges, inputVariableDomains):
+        """
+        Bare bones constructor for bayes nets.
+        Use constructEmptyBayesNet for a nicer interface.
+
+        variables:       An iterable of all of the variables.
+        inEdges:         A dict that maps variable to otherVariable
+                         when there is an edge from otherVariable to
+                         variable 
+        outEdges:        A dict that maps variable to otherVariable
+                         where there is an edge from variable to
+                         otherVariable  
+        variableDomains: A dict mapping each variable to its domain (list like).
+
+        Constructs a bayes net with edges given by inEdges and
+        outEdges for each variable.
+        Doesn't initialize the conditional probability table for any variables.
+        """
+        # Each variable is unique (so that they can be keys in dicts)
+        self.__variablesSet = set(variables)
+        self.__variables = sorted(list(variables))
+        # self.__inEdges[v] = [u if the edge (u, v) exists]
+        self.__inEdges  = inputInEdges 
+        # self.__outEdges[u] = [v if the edge (u, v) exists]
+        self.__outEdges = inputOutEdges
+
+        # make sure that the edge maps contain all variables
+        for variable in self.__variablesSet:
+            if variable not in self.__inEdges:
+                self.__inEdges[variable]  = set()
+            if variable not in self.__outEdges:
+                self.__outEdges[variable] = set()
+
+        self.__variableDomainsDict = inputVariableDomains
+        self.__CPTDict = {}
+
+    def variablesSet(self):
+        " Returns a copy of the set of variables in the bayes net "
+        return copy(self.__variablesSet)
+
+    def variableDomainsDict(self):
+        " Returns a copy of the variable domains in the bayes net "
+        return deepcopy(self.__variableDomainsDict)
+
+    def inEdges(self):
+        " Returns a copy of the incoming edges in the bayes net "
+        return deepcopy(self.__inEdges)
+
+    def outEdges(self):
+        " Returns a copy of the outgoing edges in the bayes net "
+        return deepcopy(self.__outEdges)
+
+    def __str__(self):
+        """
+        Human-readable representation of a bayes net. 
+        Prints each variable, each edge, and then each conditional probability table.
+        """
+        netString = "Variables: " + ", ".join([str(var) for var in self.__variablesSet]) + "\n" + \
+                    "Edges: " + ", ".join([str(fromVar) + " -> " + str(toVar) \
+                    for toVar in self.__variablesSet \
+                    for fromVar in self.__inEdges[toVar]])
+        try:
+            factorsString = "Conditional Probability Tables:\n\n" + \
+                            "\n ======================= \n\n".join([str(factor) for factor in self.getAllCPTsWithEvidence()])
+            return netString + '\n\n' + factorsString
+        except KeyError:
+            return netString + '\n' + repr(self.variableDomainsDict())
+
+    def sameGraph(self, other):
+        sameVars = self.__variables == other.__variables
+        sameInEdges = sorted(self.__inEdges) == sorted(other.__inEdges)
+        sameOutEdges = sorted(self.__outEdges) == sorted(other.__outEdges)
+        return sameVars and sameInEdges and sameOutEdges
+
+    def linearizeVariables(self):
+        """
+        Returns a list of the variables in the bayes net, but in a
+        linearized order (parents of a variable in the graph always
+        precede it in the order).
+
+        Useful for sampling.
+        """
+        inEdgesIncremental = dict([(var, edgeSet.copy()) for (var, edgeSet) in self.__inEdges.items()])
+        noIncomingList = [var for var in self.__variables if len(self.__inEdges[var]) == 0]
+
+        linearizedList = []
+
+        while len(noIncomingList) > 0:
+            currentVar = noIncomingList.pop()
+            linearizedList.append(currentVar)
+            for outGoingVariable in self.__outEdges[currentVar]:
+                inEdgesIncremental[outGoingVariable].remove(currentVar)
+                if len(inEdgesIncremental[outGoingVariable]) == 0:
+                    noIncomingList.append(outGoingVariable)
+
+        hasEdgesLeftOver = any([len(inEdgesIncremental[var]) > 0 for var in self.__variables])
+        if hasEdgesLeftOver:
+            raise ValueError, ("Graph has at least one cycle (not a bayes net) " + \
+                               str(inEdgesIncremental))
+        else:
+            return linearizedList
+
+    def getCPT(self, variable):
+        """
+        Returns a copy of the conditional probability table in the bayes net
+        for variable.  This is instantiated as a factor.
+        """
+        if variable not in self.__variablesSet:
+            raise ValueError, ("Variable not in bayes net: " + str(variable))
+        else:
+            return deepcopy(self.__CPTDict[variable])
+
+    def setCPT(self, variable, CPT):
+        """
+        Sets the conditional probability table in the bayes net for
+        variable.
+
+        CPT is a Factor of the conditional probability table with variable 
+        as the only unconditioned variable, and each conditioned variable
+        must have an edge going into variable.
+        """
+        if variable not in self.__variablesSet:
+            raise ValueError, ("Variable not in bayes net: " + str(variable))
+        else:
+            unconditionedVariables = CPT.unconditionedVariables()
+            conditionedVariables = CPT.conditionedVariables()
+
+            if len(unconditionedVariables) != 1:
+                raise ValueError, ("Unconditioned variables must contain a single element for an entry" + \
+                                   " in the conditional probability tables for this Bayes net\n" + \
+                                  str(unconditionedVariables))
+
+
+            unconditionedVariable = list(unconditionedVariables)[0]
+            
+            if unconditionedVariable != variable:
+                raise ValueError, ("Variable in the input and the " 
+                                  + "unconditionedVariable in the factor must \nagree. " +
+                                  "Input variable: " + str(variable) + \
+                                  " unconditioned variable: " + str(unconditionedVariable))
+
+            for var in conditionedVariables:
+                if var not in self.__inEdges[unconditionedVariable]:
+                    raise ValueError, ("Conditioned variables must be all have an edge " +
+                                       "going into \n the unconditionedVariable. \n" +
+                                       "conditionedVariables: " + str(conditionedVariables) + \
+                                       "\nparent: " + str(var))
+
+            self.__CPTDict[variable] = deepcopy(CPT)
+
+    def getReducedVariableDomains(self, evidenceDict):
+        """
+        evidenceDict: A dict with an assignment for each
+                                evidence variable.
+
+        Returns a new variableDomainsDict where each evidence
+        variable's domain is the single value that it is being
+        assigned to (and is otherwise unchanged).
+        """
+        reducedVariableDomainsDict = self.variableDomainsDict()
+        for (evidenceVariable, value) in evidenceDict.items():
+            reducedVariableDomainsDict[evidenceVariable] = [value]
+        return reducedVariableDomainsDict
+
+    def getCPTWithEvidence(self, variable, evidenceDict=None):
+        """
+        Gets a conditional probability table for a variable, where the
+        assignments in evidenceDict have been performed, so
+        the CPT may have less rows than what
+        would be returned from getCPT.
+
+        Input evidenceDict is optional.
+        If it is not provided, the CPTs for all variables without 
+        specializing the domains is provided.
+        """
+        if evidenceDict is None or len(evidenceDict.items()) == 0:
+            return self.getCPT(variable)
+        else:
+            reducedVariableDomains = self.getReducedVariableDomains(evidenceDict)
+            variableCPT = self.getCPT(variable)
+            return variableCPT.specializeVariableDomains(reducedVariableDomains)
+
+    def getAllCPTsWithEvidence(self, evidenceDict=None):
+        """
+        Returns a list of conditional probability tables (taking into
+        account evidence) for all variables in the bayes net.
+
+        Input evidenceDict is optional.
+        If it is not provided, the CPTs for all variables without 
+        specializing the domains is provided.
+        """
+        return [self.getCPTWithEvidence(var, evidenceDict) for var in self.__variablesSet]
+
+    def easierToParseString(self, printVariableDomainsDict=False):
+        " Used internally for computer-readable printing "
+        returnStrings = []
+        for CPT in self.getAllCPTsWithEvidence():
+            # CPT has only one unconditioned variable, extract it and use as a prefix
+            prefix = next(iter(CPT.unconditionedVariables()))
+            returnStrings.append(CPT.easierToParseString(prefix=prefix, printVariableDomainsDict=printVariableDomainsDict))
+            printVariableDomainsDict = False
+        return "\n".join(returnStrings)
+
+
+class Factor(object):
+
+    def __init__(self, inputUnconditionedVariables, inputConditionedVariables, inputVariableDomainsDict):
+        """
+        Constructor for factors.
+
+        Takes in as input an iterable unconditionedVariables, an iterable 
+        conditionedVariables, and a variableDomainsDict as a mapping from 
+        variables to domains.
+
+        inputUnconditionedVariables is an iterable of variables (represented as strings)
+            that contains the variables that are unconditioned in this factor 
+        inputConditionedVariables is an iterable of variables (represented as strings)
+            that contains the variables that are conditioned in this factor 
+        inputVariableDomainsDict is a dictionary from variables to domains of those 
+            variables (typically represented as a list but could be any iterable)
+
+        Initializes the probability entries of all possible assignmentDicts to be 0.0
+        """
+        # if only one variable is passed in (not in a list), wrap it in a list
+        if isinstance(inputUnconditionedVariables, str):
+            inputUnconditionedVariables = [inputUnconditionedVariables]
+
+        if isinstance(inputConditionedVariables, str):
+            inputConditionedVariables = [inputConditionedVariables]
+
+        repeatedVariables = set(inputUnconditionedVariables) & set(inputConditionedVariables)
+        if repeatedVariables:
+            raise ValueError, ("unconditionedVariables and conditionedVariables "\
+                               "can't have repeated \n variables. Repeats:\n" +  str(repeatedVariables))
+
+
+        self.__variables = tuple(inputUnconditionedVariables) + tuple(inputConditionedVariables) # variables are unique string identifiersk
+        self.__variablesSet = set(self.__variables)
+
+        if not self.__variablesSet.issubset(set(inputVariableDomainsDict.keys())): # it's okay for variableDomainsDict to have more items than needed
+            raise ValueError, ("variableDomainsDict doesn't have all the input variables \n" \
+                               + str(self.__variablesSet))
+
+        self.__unconditionedVariables = set(inputUnconditionedVariables)
+        self.__conditionedVariables = set(inputConditionedVariables)
+        self.__variableDomainsDict = deepcopy(inputVariableDomainsDict) # dict that maps {variable : variableDomain}
+
+        self.__variableOrders = dict([(variable, i) for i, variable in enumerate(self.__variables)]) # internal order of the variables
+        self.__probDict = {} # probability values are stored in an {assignmentValuesTuple : probability} dict,
+                            # since we can't index using assignmentDicts. this is why we have to sort
+        products = list(itertools.product(*[inputVariableDomainsDict[variable] for variable in self.__variables]))
+        for assignmentsInOrder in products:
+            self.__probDict[tuple(assignmentsInOrder)] = 0.0
+
+    def variableDomainsDict(self):
+        " Retuns a copy of the variable domains in the factor "
+        return deepcopy(self.__variableDomainsDict)
+
+    def variables(self):
+        " Retuns a copy of the tuple of variables in the factor "
+        return copy(self.__variables)
+
+    def variablesSet(self):
+        " Retuns a copy of the set of variables in the factor "
+        return copy(self.__variablesSet)
+
+    def unconditionedVariables(self):
+        " Retuns a copy of the unconditioned variables in the factor "
+        return copy(self.__unconditionedVariables)
+
+    def conditionedVariables(self):
+        " Retuns a copy of the conditioned variables in the factor "
+        return copy(self.__conditionedVariables)
+
+    def __eq__(self, other):
+        """
+        Tests equality of two factors.
+
+        Makes sure the unconditionedVariables,
+        conditionedVariables of the two factors are the same.
+        Then makes sure each table in the first is the same 
+        (up to some tolerance) as the ones in the second and vice versa.
+        Returns true if they are the same.
+        """
+        variablesEqual = (self.variablesSet() == other.variablesSet()) \
+                and (set(self.unconditionedVariables()) == set(other.unconditionedVariables())) \
+                and (set(self.conditionedVariables()) == set(other.conditionedVariables()))
+
+        if not variablesEqual:
+            return False
+
+        for assignmentDict in self.getAllPossibleAssignmentDicts():
+            selfProb = self.getProbability(assignmentDict)
+            try:
+                otherProb = other.getProbability(assignmentDict)
+            except ValueError:
+                return False # have different variable domains
+            if abs(selfProb - otherProb) > 10e-13:
+                return False
+
+        for assignmentDict in other.getAllPossibleAssignmentDicts():
+            otherProb = other.getProbability(assignmentDict)
+            try:
+                selfProb = self.getProbability(assignmentDict)
+            except ValueError:
+                return False # have different variable domains
+            if abs(selfProb - otherProb) > 10e-13:
+                return False
+        return True
+
+    def __ne__(self, other):
+        " Tests if two factors are not equal "
+        return not self.__eq__(other)
+
+    def getProbability(self, assignmentDict):
+        """ 
+        Retrieval function for probability values in the factor.
+
+        Input assignmentDict should be of the form {variable : variableValue} for all
+        variables in the factor.
+
+        assignmentDict can have more variables than the factor contains 
+        (for instance, it could have an assignment for all the 
+        variables in a bayes net), and it will select the right row 
+        from this factor, ignoring the variables not contained within. 
+
+        Returns the probability entry stored in the factor for that 
+        combination of variable assignments.
+        """
+        assignmentsInOrder = self.__getAssignmentsInOrder(assignmentDict)
+        if assignmentsInOrder not in self.__probDict:
+            raise ValueError, ("The input assignmentDict is not contained in this factor: \n" \
+                                +  str(self) + str(assignmentDict))
+        else:
+            return self.__probDict[assignmentsInOrder]
+
+    def setProbability(self, assignmentDict, probability):
+        """ 
+        Setting function for probability values in the factor.
+
+        Input assignmentDict should be of the form {variable : variableValue} 
+        for all variables in the factor.
+        assignmentDict can have more variables than the factor contains 
+        (for instance, it could have an assignment for all the variables in a bayes net),
+        and it will select the right row from this factor, ignoring the variables 
+        not contained within. 
+
+        Input probability is the probability that will be set within the table.
+        It must be non-negative.
+
+        Returns None
+        """
+        if probability < 0: 
+            raise ValueError, ("Probabilty entries can't be set to negative values: " + \
+                               str(probability))
+        else:
+
+            assignmentsInOrder = self.__getAssignmentsInOrder(assignmentDict)
+            if assignmentsInOrder not in self.__probDict:
+                raise ValueError, ("The input assignmentDict is not contained in this factor: \n" \
+                                  +  str(self) + str(assignmentDict))
+            else:
+                self.__probDict[assignmentsInOrder] = probability
+
+    def __getAssignmentsInOrder(self, assignmentDict):
+        """
+        Internal utility function for interacting with the stored
+        probability dictionary.
+
+        We would like to store a probability value for each
+        assignmentDict, but dicts aren't hashable since they're
+        mutable, so we can't have a dict with dicts as keys.  
+        So we store the probability table in a dict where the keys are
+        tuples of variable values, without the variable name
+        associated with the value.
+
+        This function takes an assignmentDict and processes it into an
+        ordered tuple of values where the values are the assignments
+        in assignmentDict.
+        We can then use this tuple to directly index into the
+        probability table dict.
+
+        Use factor.getProbability and factor.setProbability instead,
+        for a better interface.
+        """
+        reducedAssignmentDict = dict([(var, val) for (var, val) \
+                                      in assignmentDict.items() if var in self.__variablesSet])
+        variablesAndAssignments = reducedAssignmentDict.items()
+        variablesAndAssignments = sorted(variablesAndAssignments, \
+                                         key=lambda (var, val) : self.__variableOrders[var])
+        return tuple([val for (var, val) in variablesAndAssignments])
+
+    def getAllPossibleAssignmentDicts(self):
+        """
+        Use this function to get the assignmentDict for each 
+        possible assignment for the combination of variables contained
+        in the factor.
+
+        Returns a list of all assignmentDicts that the factor contains
+        rows for, allowing you to iterate through each row in the
+        factor when combined with getProbability and setProbability).
+        """
+        cartesianProductOfAssignments = itertools.product(*[self.__variableDomainsDict[variable] for variable in reversed(self.__variables)])
+        return [dict(zip(reversed(self.__variables), product)) for product in cartesianProductOfAssignments]
+
+
+    def __str__(self):
+        """
+        Print a human-readable tabular representation of a factor.
+        """
+        printSizeDict = {}
+        for variable in self.__variablesSet:
+            maxPrintSize = max(len(variable), max([len(str(variableValue)) for variableValue in self.__variableDomainsDict[variable]]))
+            printSizeDict[variable] = maxPrintSize
+
+        returnString = ""
+
+        # header with involved variables and unconditioned or unconditioned
+        returnString += "P("
+        returnString += ", ".join([str(unconditionedVariable) for unconditionedVariable in self.__unconditionedVariables])
+
+        if len(self.__conditionedVariables) > 0:
+            returnString += " | "
+            returnString += ", ".join([str(conditionedVariable) for conditionedVariable in self.__conditionedVariables])
+
+        returnString += ")\n\n"
+
+        # first line of table with variable names
+        varLine = " | " + " | ".join([str(unconditionedVariable)[:printSizeDict[unconditionedVariable]].center(printSizeDict[unconditionedVariable], ' ') 
+                                      for unconditionedVariable in self.__unconditionedVariables])
+        if len(self.__conditionedVariables) > 0:
+            varLine += " | " + " | ".join([str(conditionedVariable)[:printSizeDict[conditionedVariable]].center(printSizeDict[conditionedVariable], ' ') 
+                                                for conditionedVariable in self.__conditionedVariables])
+        varLine += " | " + "Prob:".center(7, " ") + " |"
+
+        varLineLength = len(varLine)
+
+        returnString += varLine + "\n"
+
+
+        # code for checking whether or not to print horizontal line
+        previousConditionedAssignments = []
+        if len(self.__conditionedVariables) == 0:
+            returnString += " " + "".join(["-" for _ in range(varLineLength - 1)]) + "\n"
+
+        # print out each row of table
+        for assignmentDict in self.getAllPossibleAssignmentDicts():
+            # variable assignments
+            if len(self.__conditionedVariables) > 0:
+                conditionedAssignments = [assignmentDict[conditionedVariable] for conditionedVariable in self.__conditionedVariables]
+                if conditionedAssignments != previousConditionedAssignments:
+                    returnString += " " + "".join(["-" for _ in range(varLineLength - 1)]) + "\n"
+                previousConditionedAssignments = conditionedAssignments
+            probability = self.getProbability(assignmentDict)
+            returnString += " | " + " | ".join([str(assignmentDict[unconditionedVariable])[:printSizeDict[unconditionedVariable]].center(printSizeDict[unconditionedVariable], ' ')
+                                                for unconditionedVariable in self.__unconditionedVariables])
+            if len(self.__conditionedVariables) > 0:
+                returnString += " | " + " | ".join([str(assignmentDict[conditionedVariable])[:printSizeDict[conditionedVariable]].center(printSizeDict[conditionedVariable], ' ')
+                                                    for conditionedVariable in self.__conditionedVariables])
+
+            # formatting for printing probability
+            if probability is None:
+                formattedProb = 'None'.center(7, ' ')
+            else:
+                digits = len(str(round(probability)))
+                formattedProb = "%.1e" % probability if probability < 10e-2 else ("%." + str(8 - digits) + "f") % probability
+            returnString += " | " + formattedProb
+            returnString += " |\n"
+        return returnString
+
+    def __repr__(self):
+        returnRepr = "Factor("
+        initArgs = [self.__unconditionedVariables, self.__conditionedVariables, self.__variableDomainsDict]
+        returnRepr += ", ".join([repr(arg) for arg in initArgs])
+        returnRepr += ")"
+        return returnRepr
+
+    def easierToParseString(self, prefix=None, printVariableDomainsDict=True):
+        """
+        Print a representation of the bayes net that we have a parser for (in bayesNetTestClasses).
+        """
+        if prefix is None:
+            prefix = ''
+        returnString = ""
+        if printVariableDomainsDict:
+            returnString += 'variableDomainsDict: """\n'
+            for (key, domain) in self.__variableDomainsDict.items():
+                returnString += str(key) + ' : ' + " ".join([value for value in domain]) + '\n'
+            returnString += '"""\n\n'
+
+        returnString += prefix + 'unconditionedVariables: "'
+        returnString += " ".join([unconditionedVariable for unconditionedVariable in self.__unconditionedVariables])
+        returnString += '"\n\n'
+
+        returnString += prefix + 'conditionedVariables: "'
+        returnString += " ".join([conditionedVariable for conditionedVariable in self.__conditionedVariables])
+        returnString += '"\n\n'
+
+        returnString += prefix + 'FactorTable: """\n'
+        for assignmentDict in self.getAllPossibleAssignmentDicts():
+            probability = self.getProbability(assignmentDict)
+            returnString += ", ".join([variable + " : " + str(assignmentDict[variable]) \
+                                       for variable in self.__variables])
+            returnString += " = " + str(probability) + "\n"
+        returnString += '"""\n\n'
+        return returnString
+
+    def specializeVariableDomains(self, newVariableDomainsDict):
+        """
+        Returns a factor with the same variables as this factor
+        but with the reduced variable domains given by
+        newVariableDomainsDict.
+
+        The entries in the probability are taken from the
+        corresponding entries in this factor.
+        """
+
+        # Make sure that newVariableDomainsDict has smaller or equal
+        # domain to factor.variableDomainsDict for all variables that
+        # this factor contains.    
+        oldVariableDomains = self.variableDomainsDict()
+        for (variable, domain) in newVariableDomainsDict.items():
+            if variable in self.variablesSet():
+                oldVariableDomain = oldVariableDomains[variable]
+                for value in domain:
+                    if value not in oldVariableDomain:
+                        raise ValueError, ("newVariableDomainsDict is not a subset of factor.variableDomainsDict ",
+                                            "for variables contained in factor. " + "factor: " +  str(self) + 
+                                            " newVariableDomainsDict: " + str(newVariableDomainsDict) +
+                                            " factor.variableDomainsDict: " + str(self.variableDomainsDict()) +
+                                            " variable: " + str(variable) +
+                                            " value: " + str(value))
+
+        newFactor = Factor(self.unconditionedVariables(), self.conditionedVariables(), newVariableDomainsDict)
+
+        for assignmentDict in newFactor.getAllPossibleAssignmentDicts():
+            newFactor.setProbability(assignmentDict, self.getProbability(assignmentDict))
+
+        return newFactor
+
+
+### bayes net construction utils
+
+def constructEmptyBayesNet(variableList, edgeTuplesList, variableDomainsDict):
+    " More convenient constructor for Bayes nets "
+    variablesSet = set(variableList)
+    inEdges  = defaultdict(set)   
+    outEdges = defaultdict(set)   
+    for (parent, child) in edgeTuplesList:
+        # add the variables to the variables set
+        inEdges[child].add(parent)
+        outEdges[parent].add(child)
+
+    newBayesNet = BayesNet(variablesSet, inEdges, outEdges, variableDomainsDict)
+    return newBayesNet
+
+def constructEmptyBayesNetFromString(bayesNetString):
+    variables = bayesNetString.split('\n')[0][len('Variables: '):].split(', ')
+    edgeStrings = bayesNetString.split('\n')[1][len('Edges: '):].split(', ')
+    edgeList = [(u, v) for u, _, v in map(tuple, map(str.split, edgeStrings))]
+    variableDomainsDict = eval(bayesNetString.split('\n')[2])
+    return constructEmptyBayesNet(variables, edgeList, variableDomainsDict)
+
+def constructRandomlyFilledBayesNet(variableList, edgeTuplesList, variableDomainsDict):
+    " Random Bayes net constructor "
+    bayesNet = constructEmptyBayesNet(variableList, edgeTuplesList, variableDomainsDict)
+    fillTablesRandomly(bayesNet)
+    return bayesNet
+
+
+def fillTablesRandomly(bayesNet):
+    " Fills a Bayes net with random variables "
+    for variable in bayesNet.variablesSet():
+        conditionedVariables = bayesNet.inEdges()[variable]
+        conditionedVariablesList = list(conditionedVariables)
+        CPT = constructAndFillFactorRandomly([variable], conditionedVariablesList, bayesNet.variableDomainsDict())
+        bayesNet.setCPT(variable, CPT)
+
+def fillWithOneConditionedAssignmentRandomly(factor, unconditionedVariables, conditionedVariables, product, variableDomainsDict):
+    """ 
+    Fills one subtable of a factor (given one conditional assignment).
+    Makes this subtable sum to 1.
+    """
+    cartesianProductOfUnConditionalAssignments = itertools.product(*[variableDomainsDict[unconditionedVariable] 
+                                                                   for unconditionedVariable in unconditionedVariables])
+    randomFills = [max(0.0, random.uniform(-0.4, 0.8)) for variableValue in cartesianProductOfUnConditionalAssignments]
+    conditionalProbabilitySum = sum(randomFills)
+
+    # needs to sum to 1
+    if abs(conditionalProbabilitySum) < 10e-13:
+        randomFills[0] = 1.0
+        conditionalProbabilitySum = sum(randomFills)
+
+    cartesianProductOfUnConditionalAssignments = itertools.product(*[variableDomainsDict[unconditionedVariable] 
+                                                                   for unconditionedVariable in unconditionedVariables])
+
+    for (randomFill, variableValue) in zip(randomFills, cartesianProductOfUnConditionalAssignments):
+        assignmentDict = dict(zip(list(unconditionedVariables) + list(conditionedVariables), list(variableValue) + list(product)))
+        factor.setProbability(assignmentDict, randomFill / conditionalProbabilitySum)
+
+
+def constructAndFillFactorRandomly(unconditionedVariables, conditionedVariables, variableDomainsDict):
+    " Wrapper around Factor constructor that fills the table randomly "
+    newFactor = Factor(unconditionedVariables, conditionedVariables, variableDomainsDict)
+    if len(conditionedVariables) > 0:
+        cartesianProductOfConditionalAssignments = itertools.product(*[variableDomainsDict[conditionedVariable] for conditionedVariable in conditionedVariables])
+        for product in cartesianProductOfConditionalAssignments:
+            fillWithOneConditionedAssignmentRandomly(newFactor, unconditionedVariables, conditionedVariables, product, variableDomainsDict)
+    else:
+        fillWithOneConditionedAssignmentRandomly(newFactor, unconditionedVariables, [], [], variableDomainsDict)
+    return newFactor
+
+def reduceBayesNetVariablesWithEvidence(bayesNet, variablesToRemove,
+                                        evidenceDict):
+    """
+    Prunes the variables in variablesToRemove away from the Bayes net 
+    and returns a new Bayes net without variablesToRemove
+    """
+    variablesToRemoveSet = set(variablesToRemove)
+    evidenceVariables = set(evidenceDict.keys())
+    if len(variablesToRemoveSet & evidenceVariables) > 0:
+        raise ValueError, ("Evidence variables are in the list of variable to " + \
+                           "be removed from the Bayes' net.  This is " + \
+                           "undefined. Evidence: " + str(evidenceDict) + \
+                           ". Variables to remove: " + str(variablesToRemoveSet))
+
+    newVariables = bayesNet.variablesSet() - variablesToRemoveSet
+    oldOutEdges = bayesNet.outEdges()
+    oldInEdges  = bayesNet.inEdges()
+    newOutEdges = dict()
+    newInEdges  = dict()
+    for variable in newVariables:
+        newOutEdges[variable] = set([y for y in oldOutEdges[variable] if y in newVariables])
+        newInEdges[variable]  = set([y for y in oldInEdges[variable]  if y in newVariables])
+
+    newVariableDomainsDict = bayesNet.getReducedVariableDomains(evidenceDict)
+
+    newBayesNet = BayesNet(newVariables, newInEdges, newOutEdges,
+                           newVariableDomainsDict)
+
+    unconditionedVariables = newVariables - evidenceVariables
+    for variable in bayesNet.variablesSet():
+        if variable in newVariables:
+            oldCPT = bayesNet.getCPT(variable)
+            evidenceVariablesParents = []
+            removedVariablesParents = []
+            unconditionedVariablesParents = []
+            for parentVariable in oldCPT.conditionedVariables():
+                if parentVariable in variablesToRemoveSet:
+                    removedVariablesParents.append(parentVariable)
+                elif parentVariable in evidenceVariables:
+                    evidenceVariablesParents.append(parentVariable)
+                else:
+                    unconditionedVariablesParents.append(parentVariable)
+
+            if variable in evidenceVariables and \
+                    len(unconditionedVariablesParents) == 0:
+                newCPT = Factor([variable], evidenceVariablesParents, \
+                                newVariableDomainsDict)
+                # only one entry in this CPT since all parents are 
+                # removed or evidence variables (and thus have one entry)
+                newCPT.setProbability(evidenceDict, 1.0)
+
+            else:
+                if len(removedVariablesParents) == 0:
+                    newCPT = oldCPT.specializeVariableDomains(newVariableDomainsDict)
+                else:
+                    raise ValueError, ("Variable: " + str(variable) + \
+                                       "'s parent: " + str(parentVariable) + \
+                                       " is not in the reduced bayes net, " + \
+                                       "so we can't unambiguously reduce the " + \
+                                       "Bayes' net.")
+
+            newBayesNet.setCPT(variable, newCPT)
+        else:
+            oldCPT = bayesNet.getCPT(variable)
+            #for parentVariable in oldCPT.conditionedVariables():
+                #if parentVariable in unconditionedVariables:
+                    #raise ValueError, ("Variable " + str(variable) + \
+                                       #" is to be removed but its parent " \
+                                        #+ str(parentVariable) + \
+                                        #" is an unconditioned variable in the " \
+                                        #+ "reduced bayes net, " + \
+                                        #"so we can't reduce the " + \
+                                        #"Bayes' net.")
+
+
+    return newBayesNet
+
+
+def printStarterBayesNet():
+    """
+    Exploring Bayes net functions, printing, and creation.
+    Pay close attention to how factors are created and modified.
+    """
+
+    # This is the example V structured Bayes' net from the lecture 
+    # on Bayes' nets independence.
+    # Constructing Bayes' nets: variables list
+    variableList = ['Raining', 'Ballgame', 'Traffic']
+
+    # Constructing Bayes' nets, edge list: (x, y) means edge from x to y
+    edgeTuplesList = [('Raining', 'Traffic'), ('Ballgame', 'Traffic')]
+
+    # Construct the domain for each variable (a list like)
+    variableDomainsDict = {}
+    variableDomainsDict['Raining']  = ['yes', 'no']
+    variableDomainsDict['Ballgame'] = ['yes', 'no']
+    variableDomainsDict['Traffic']  = ['yes', 'no']
+
+    # None of the conditional probability tables are assigned yet in our Bayes' net
+    bayesNet = constructEmptyBayesNet(variableList, edgeTuplesList, variableDomainsDict)
+
+    # Create a factor for each CPT.  
+    # The first input is the list of unconditioned variables in your factor,
+    # the second input is the list of conditioned variables in your factor,
+    # and the third input is the dict of domains for your variables.
+    rainingCPT  = Factor(['Raining'], [], variableDomainsDict)
+
+    print "Print a conditional probability table (henceforth known as a CPT) " + \
+          "to see a pretty print of the variables in a factor and its " + \
+          "probability table in your terminal. " + \
+          "CPTs come initialized with 0 for each row in the table: \n"
+    print rainingCPT
+
+    # We use assignmentDicts to set and get probability entries from Factors.
+    # An assignmentDict is a dict {variable : variableValue} of assignments 
+    # of variables to values (where the variableValue must be in 
+    # variableDomainsDict[variable]
+
+    rainAssignmentDict = {'Raining' : 'yes'}
+    rainingCPT.setProbability(rainAssignmentDict, 0.3)
+
+    rainAssignmentDict = {'Raining' : 'no'}
+    rainingCPT.setProbability(rainAssignmentDict, 0.7)
+    
+    print 'After setting entries: \n'
+
+    print rainingCPT
+
+    # The traffic factor has two conditioned variables and one unconditioned 
+    # variable.  Each variable has a domain size of 2, so we have 
+    # 2^3 = 8 possible assignments (and thus 8 rows in our probability table).
+
+    trafficCPT  = Factor(['Traffic'], ['Raining', 'Ballgame'], variableDomainsDict)
+
+    TRB = {'Traffic' : 'yes', 'Raining' : 'yes', 'Ballgame' : 'yes'}
+    tRB = {'Traffic' : 'no',  'Raining' : 'yes', 'Ballgame' : 'yes'}
+    TrB = {'Traffic' : 'yes', 'Raining' : 'no',  'Ballgame' : 'yes'}
+    trB = {'Traffic' : 'no',  'Raining' : 'no',  'Ballgame' : 'yes'}
+    TRb = {'Traffic' : 'yes', 'Raining' : 'yes', 'Ballgame' : 'no' }
+    tRb = {'Traffic' : 'no',  'Raining' : 'yes', 'Ballgame' : 'no' }
+    Trb = {'Traffic' : 'yes', 'Raining' : 'no',  'Ballgame' : 'no' }
+    trb = {'Traffic' : 'no',  'Raining' : 'no',  'Ballgame' : 'no' }
+
+    # For a CPT, we must have that the sum of the probability of all the 
+    # unconditionedVariables for a given assignment of conditioned 
+    # variables must sum to 1
+    trafficCPT.setProbability(TRB, 0.95)
+    trafficCPT.setProbability(tRB, 0.05)
+    trafficCPT.setProbability(TrB, 0.90)
+    trafficCPT.setProbability(trB, 0.10)
+    trafficCPT.setProbability(TRb, 0.70)
+    trafficCPT.setProbability(tRb, 0.30)
+    trafficCPT.setProbability(Trb, 0.15)
+    trafficCPT.setProbability(trb, 0.85)
+
+    print "Note that in the table output of print for factors with conditioned " + \
+          "variables, each region with a different assignment of conditioned " + \
+          "variables is divided into a region in the table, separated from " + \
+          "other conditioned assignments by a horizontal bar. " + \
+          "If a factor is a CPT, each sub table of that factor will sum to 1. \n"
+    print trafficCPT
+
+    print "You can use factor.getAllPossibleAssignmentDicts() " + \
+          "to iterate through all combinations of assignments:\n"
+    for assignmentDict in trafficCPT.getAllPossibleAssignmentDicts():
+        print assignmentDict
+
+    # Fill in the ballGame CPT, very similar to raining
+
+    ballgameCPT = Factor(['Ballgame'], [], variableDomainsDict)
+
+    # Note that we can use assignmentDicts that contain assignments for 
+    # more variables than a factor mentions.
+    # Here, we pass in an assignmentDict that has 3 variable assignments 
+    # but ballgameCPT only contains variable Ballgame
+    ballgameCPT.setProbability(TRB, 0.05)
+
+    ballgameCPT.setProbability(TRb, 0.95)
+
+    print "\nLast CPT: \n"
+
+    print ballgameCPT
+
+    # Set the factors for the bayes net to be these CPTs
+    bayesNet.setCPT('Raining',  rainingCPT)
+    bayesNet.setCPT('Ballgame', ballgameCPT)
+    bayesNet.setCPT('Traffic',  trafficCPT)
+
+    print "Print a Bayes' net to see its variables, edges, and " + \
+          "the CPT for each variable.\n"
+    print bayesNet
+
+    print "You can get a list of all CPTs from a Bayes' net, instantiated with " + \
+          "evidence, with the getAllCPTsWithEvidence function. " + \
+          "The evidenceDict input is an assignmentDict of " + \
+          "(evidenceVariable, evidenceValue) pairs. " + \
+          "Instantiation with evidence reduces the variable domains and thus " + \
+          "selects a subset of entries from the probability table."
+
+    evidenceDict = {'Raining' : 'yes'}
+    for CPT in bayesNet.getAllCPTsWithEvidence(evidenceDict):
+        print CPT
+
+    print 'If it is empty or None, the full CPTs will be returned. \n'
+
+    for CPT in bayesNet.getAllCPTsWithEvidence():
+        print CPT
+
+    print "If only one variable's CPT is desired, you can get just that particular " + \
+          "CPT with the bayesNet.getCPT function. \n"
+
+    print bayesNet.getCPT('Traffic')
+
+    print bayesNet.easierToParseString()
+
+
+if __name__ == "__main__":
+    printStarterBayesNet()
diff --git a/cs188-projects-master/P4 Bayes Nets/bayesNet.pyc b/cs188-projects-master/P4 Bayes Nets/bayesNet.pyc
new file mode 100644
index 0000000..3e4d1d7
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/bayesNet.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/bayesNets2TestClasses.py b/cs188-projects-master/P4 Bayes Nets/bayesNets2TestClasses.py
new file mode 100644
index 0000000..ad688c9
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/bayesNets2TestClasses.py	
@@ -0,0 +1,552 @@
+# bayesNets2TestClasses.py
+# ------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import testClasses
+import bayesNet
+import random
+import layout
+import hunters
+from copy import deepcopy
+from hashlib import sha1
+from tempfile import mkstemp
+import time
+from shutil import move
+from os import remove, close
+import util
+
+class GraphEqualityTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(GraphEqualityTest, self).__init__(question, testDict)
+        layoutText = testDict['layout']
+        self.layoutName = testDict['layoutName']
+
+        lay = layout.Layout([row.strip() for row in layoutText.split('\n')])
+        self.startState = hunters.GameState()
+        self.startState.initialize(lay, 0)
+
+    def getEmptyStudentBayesNet(self, moduleDict):
+        bayesAgentsModule = moduleDict['bayesAgents']
+        studentComputation = bayesAgentsModule.constructBayesNet
+        net, _ = studentComputation(self.startState)
+        return net
+
+    def execute(self, grades, moduleDict, solutionDict):
+        # load student code and staff code solutions
+        studentNet = self.getEmptyStudentBayesNet(moduleDict)
+        goldNet = bayesNet.constructEmptyBayesNetFromString(solutionDict['solutionString'])
+        correct = studentNet.sameGraph(goldNet)
+        if correct:
+            return self.testPass(grades)
+        self.addMessage('Bayes net graphs are not equal.')
+        missingVars = goldNet.variablesSet() - studentNet.variablesSet()
+        extraVars = studentNet.variablesSet() - goldNet.variablesSet()
+        if missingVars:
+            self.addMessage('Student solution is missing variables: ' + str(missingVars) + '\n')
+        if extraVars:
+            self.addMessage('Student solution has extra variables: ' + str(extraVars) + '\n')
+        studentEdges = set([str(fromVar) + " -> " + str(toVar) for toVar in studentNet.variablesSet() for fromVar in studentNet.inEdges()[toVar]])
+        goldEdges = set([str(fromVar) + " -> " + str(toVar) for toVar in goldNet.variablesSet() for fromVar in goldNet.inEdges()[toVar]])
+        missingEdges = goldEdges - studentEdges
+        extraEdges = studentEdges - goldEdges
+        if missingEdges:
+            self.addMessage('Student solution is missing edges:')
+            for edge in sorted(missingEdges):
+                self.addMessage('    ' + str(edge))
+            self.addMessage('\n')
+        if extraEdges:
+            self.addMessage('Student solution has extra edges:')
+            for edge in sorted(extraEdges):
+                self.addMessage('    ' + str(edge))
+            self.addMessage('\n')
+        return self.testFail(grades)
+
+        
+    def writeSolution(self, moduleDict, filePath):
+        bayesAgentsModule = moduleDict['bayesAgents']
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n\nsolutionString: """\n' % self.path)
+            net, _ = bayesAgentsModule.constructBayesNet(self.startState)
+            handle.write(str(net))
+            handle.write('\n"""\n')
+        return True
+
+    def createPublicVersion(self):
+        pass
+
+class BayesNetEqualityTest(GraphEqualityTest):
+
+    def execute(self, grades, moduleDict, solutionDict):
+        # load student code and staff code solutions
+        studentNet = self.getEmptyStudentBayesNet(moduleDict)
+        goldNet = parseSolutionBayesNet(solutionDict)
+        if not studentNet.sameGraph(goldNet):
+            self.addMessage('Bayes net graphs are not equivalent. Please check that your Q1 implementation is correct.')
+            return self.testFail(grades)
+        moduleDict['bayesAgents'].fillCPTs(studentNet, self.startState)
+        for variable in goldNet.variablesSet():
+            try: 
+                studentFactor = studentNet.getCPT(variable)
+            except KeyError:
+                self.addMessage('Student Bayes net missing CPT for variable ' + str(variable))
+                return self.testFail(grades)
+            goldFactor = goldNet.getCPT(variable)
+            if not studentFactor == goldFactor:
+                self.addMessage('First factor in which student answer differs from solution: P({} | {})'.format(studentFactor.unconditionedVariables(), studentFactor.conditionedVariables()))
+                self.addMessage('Student Factor:\n' + str(studentFactor))
+                self.addMessage('Correct Factor:\n' + str(goldFactor))
+                return self.testFail(grades)
+        return self.testPass(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        bayesAgentsModule = moduleDict['bayesAgents']
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n\n' % self.path)
+            net, _ = bayesAgentsModule.constructBayesNet(self.startState)
+            bayesAgentsModule.fillCPTs(net, self.startState)
+            handle.write(net.easierToParseString(printVariableDomainsDict=True))
+        return True
+
+class FactorEqualityTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(FactorEqualityTest, self).__init__(question, testDict)
+        self.seed = self.testDict['seed']
+        random.seed(self.seed)
+        self.alg = self.testDict['alg']
+        self.max_points = int(self.testDict['max_points'])
+        self.testPath = testDict['path']
+        self.constructRandomly = testDict['constructRandomly']
+
+    def execute(self, grades, moduleDict, solutionDict):
+        # load student code and staff code solutions
+        studentFactor = self.solveProblem(moduleDict)
+        goldenFactor = parseFactorFromFileDict(solutionDict)
+
+        # compare computed factor to stored factor
+        self.addMessage('Executed FactorEqualityTest')
+        if studentFactor == goldenFactor:
+            # extra condition for test passing for this test type:
+            if self.alg == 'inferenceByVariableElimination':
+                goldenCallTrackingList = eval(solutionDict['callTrackingList'])
+                if self.callTrackingList != goldenCallTrackingList:
+                    self.addMessage('Order of joining by variables and elimination by variables is incorrect for variable elimination')
+                    self.addMessage('Student performed the following operations in order: ' + str(self.callTrackingList) + '\n')
+                    self.addMessage('Correct order of operations: ' + str(goldenCallTrackingList) + '\n')
+                    return self.testFail(grades)
+
+            return self.testPass(grades)
+        else:
+            self.addMessage('Factors are not equal.\n')
+            self.addMessage('Student generated factor:\n\n' + str(studentFactor) + '\n\n')
+            self.addMessage('Correct factor:\n\n' + str(goldenFactor) + '\n')
+
+            studentProbabilityTotal = sum([studentFactor.getProbability(assignmentDict) for assignmentDict in studentFactor.getAllPossibleAssignmentDicts()])
+            correctProbabilityTotal = sum([goldenFactor.getProbability(assignmentDict) for assignmentDict in goldenFactor.getAllPossibleAssignmentDicts()])
+            if abs(studentProbabilityTotal - correctProbabilityTotal) > 10e-12:
+                self.addMessage('Sum of probability in student generated factor is not the same as in correct factor')
+                self.addMessage('Student sum of probability: ' + str(studentProbabilityTotal))
+                self.addMessage('Correct sum of probability: ' + str(correctProbabilityTotal))
+
+            return self.testFail(grades)
+
+
+    def writeSolution(self, moduleDict, filePath):
+
+        if self.constructRandomly:
+            if self.alg == 'joinFactors' or self.alg == 'eliminate' or \
+                    self.alg == 'normalize':
+                replaceTestFile(self.testPath, "Factors", self.factorsDict)
+            elif self.alg == 'inferenceByVariableElimination' or \
+                    self.alg == 'inferenceByLikelihoodWeightingSampling':
+                replaceTestFile(self.testPath, "BayesNet", self.problemBayesNet)
+
+        factor = self.solveProblem(moduleDict)
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            printString = factor.easierToParseString()
+            handle.write('%s\n' % (printString))
+
+            if self.alg == 'inferenceByVariableElimination':
+                handle.write('callTrackingList: "' + repr(self.callTrackingList) + '"\n')
+        return True
+
+
+class FactorInputFactorEqualityTest(FactorEqualityTest):
+    def __init__(self, question, testDict):
+        super(FactorInputFactorEqualityTest, self).__init__(question, testDict)
+        self.factorArgs = self.testDict['factorArgs']
+        eliminateToPerform = (self.alg == 'eliminate')
+        evidenceAssignmentToPerform = (self.alg == 'normalize')
+
+        parseDict =  parseFactorInputProblem(testDict, goingToEliminate=eliminateToPerform,
+                                             goingToEvidenceAssign=evidenceAssignmentToPerform)
+        self.variableDomainsDict = parseDict['variableDomainsDict']
+        self.factorsDict = parseDict['factorsDict']
+        if eliminateToPerform:
+            self.eliminateVariable = parseDict['eliminateVariable']
+        if evidenceAssignmentToPerform:
+            self.evidenceDict = parseDict['evidenceDict']
+        self.max_points = int(self.testDict['max_points'])
+
+    def solveProblem(self, moduleDict):
+        factorOperationsModule =  moduleDict['factorOperations']
+        studentComputation = getattr(factorOperationsModule, self.alg)
+        if self.alg == 'joinFactors':
+            solvedFactor = studentComputation(self.factorsDict.values())
+            #for factor in self.factorsDict.values():
+                #print factor.easierToParseString(printVariableDomainsDict=False)
+        elif self.alg == 'eliminate':
+            solvedFactor = studentComputation(self.factorsDict.values()[0],
+                                              self.eliminateVariable)
+        elif self.alg == 'normalize':
+            newVariableDomainsDict = deepcopy(self.variableDomainsDict)
+            for variable, value in self.evidenceDict.items():
+                newVariableDomainsDict[variable] = [value]
+            origFactor = self.factorsDict.values()[0]
+            specializedFactor = origFactor.specializeVariableDomains(newVariableDomainsDict)
+            solvedFactor = studentComputation(specializedFactor)
+        
+        return solvedFactor
+
+
+class BayesNetInputFactorEqualityTest(FactorEqualityTest):
+
+    def __init__(self, question, testDict):
+        super(BayesNetInputFactorEqualityTest, self).__init__(question, testDict)
+
+        parseDict = parseBayesNetProblem(testDict)
+
+        self.queryVariables = parseDict['queryVariables']
+        self.evidenceDict = parseDict['evidenceDict']
+
+        if self.alg == 'inferenceByVariableElimination':
+            self.callTrackingList = []
+            self.variableEliminationOrder = parseDict['variableEliminationOrder']
+        elif self.alg == 'inferenceByLikelihoodWeightingSampling':
+            self.numSamples = parseDict['numSamples']
+
+        self.problemBayesNet = parseDict['problemBayesNet']
+        self.max_points = int(self.testDict['max_points'])
+
+    def solveProblem(self, moduleDict):
+        inferenceModule = moduleDict['inference']
+        if self.alg == 'inferenceByVariableElimination':
+            studentComputationWithCallTracking = getattr(inferenceModule, self.alg + 'WithCallTracking')
+            studentComputation = studentComputationWithCallTracking(self.callTrackingList)
+            solvedFactor = studentComputation(self.problemBayesNet, self.queryVariables, self.evidenceDict, self.variableEliminationOrder)
+        elif self.alg == 'inferenceByLikelihoodWeightingSampling':
+            randomSource = util.FixedRandom().random
+            studentComputationRandomSource = getattr(inferenceModule, self.alg + 'RandomSource')
+            studentComputation = studentComputationRandomSource(randomSource)
+            #random.seed(self.seed) # reset seed so that if we had to compute the bayes net we still have the initial seed
+            solvedFactor = studentComputation(self.problemBayesNet, self.queryVariables, self.evidenceDict, self.numSamples)
+        
+        return solvedFactor
+
+class MostLikelyFoodHousePositionTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(MostLikelyFoodHousePositionTest, self).__init__(question, testDict)
+        layoutText = testDict['layout']
+        self.layoutName = testDict['layoutName']
+
+        lay = layout.Layout([row.strip() for row in layoutText.split('\n')])
+        self.startState = hunters.GameState()
+        self.startState.initialize(lay, 0)
+
+        self.evidence = eval(testDict['evidence'])
+        self.eliminationOrder = eval(testDict['eliminationOrder'])
+
+    def execute(self, grades, moduleDict, solutionDict):
+        # load student code and staff code solutions
+        bayesAgentsModule = moduleDict['bayesAgents']
+        FOOD_HOUSE_VAR = bayesAgentsModule.FOOD_HOUSE_VAR
+        studentBayesNet, _ = bayesAgentsModule.constructBayesNet(self.startState)
+        bayesAgentsModule.fillCPTs(studentBayesNet, self.startState)
+        studentFunction = bayesAgentsModule.getMostLikelyFoodHousePosition
+        studentPosition = studentFunction(self.evidence, studentBayesNet, self.eliminationOrder)[FOOD_HOUSE_VAR]
+        goldPosition = solutionDict['answer']
+        correct = studentPosition == goldPosition
+        if not correct:
+            self.addMessage('Student answer: ' + str(studentPosition))
+            self.addMessage('Correct answer: ' + str(goldPosition))
+        return self.testPass(grades) if correct else self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        bayesAgentsModule = moduleDict['bayesAgents']
+        staffBayesNet, _ = bayesAgentsModule.constructBayesNet(self.startState)
+        FOOD_HOUSE_VAR = bayesAgentsModule.FOOD_HOUSE_VAR
+        bayesAgentsModule.fillCPTs(staffBayesNet, self.startState)
+        staffFunction = bayesAgentsModule.getMostLikelyFoodHousePosition
+        answer = staffFunction(self.evidence, staffBayesNet, self.eliminationOrder)[FOOD_HOUSE_VAR]
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n\nanswer: """\n' % self.path)
+            handle.write(str(answer))
+            handle.write('\n"""\n')
+        return True
+
+    def createPublicVersion(self):
+        pass
+
+class VPITest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(VPITest, self).__init__(question, testDict)
+        self.targetFunction = testDict['function']
+        layoutText = testDict['layout']
+        self.layoutName = testDict['layoutName']
+
+        lay = layout.Layout([row.strip() for row in layoutText.split('\n')])
+        self.startState = hunters.GameState()
+        self.startState.initialize(lay, 0)
+
+        self.evidence = eval(testDict['evidence'])
+        self.eliminationOrder = eval(testDict['eliminationOrder'])
+
+    def execute(self, grades, moduleDict, solutionDict):
+        # load student code and staff code solutions
+        bayesAgentsModule = moduleDict['bayesAgents']
+        studentAgent = bayesAgentsModule.VPIAgent()
+        studentAgent.registerInitialState(self.startState)
+        studentAnswer = eval('studentAgent.{}(self.evidence, self.eliminationOrder)'.format(self.targetFunction))
+        goldAnswer = eval(solutionDict['answer'])
+        if type(studentAnswer) == float:
+            correct = closeNums(studentAnswer, goldAnswer)
+        else:
+            correct = closeNums(studentAnswer[0], goldAnswer[0]) & closeNums(studentAnswer[1], goldAnswer[1])
+        if not correct:
+            self.addMessage('Student answer differed from solution by at least .0001')
+            self.addMessage('Student answer: ' + str(studentAnswer))
+            self.addMessage('Correct answer: ' + str(goldAnswer))
+        return self.testPass(grades) if correct else self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        bayesAgentsModule = moduleDict['bayesAgents']
+        agent = bayesAgentsModule.VPIAgent()
+        agent.registerInitialState(self.startState)
+        answer = eval('agent.{}(self.evidence, self.eliminationOrder)'.format(self.targetFunction))
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n\nanswer: """\n' % self.path)
+            handle.write(str(answer))
+            handle.write('\n"""\n')
+        return True
+
+    def createPublicVersion(self):
+        pass
+
+def closeNums(x, y):
+    return abs(x - y) < 1e-4
+
+def parseFactorInputProblem(testDict, goingToEliminate=False, goingToEvidenceAssign=False):
+    parseDict = {}
+    variableDomainsDict = {}
+    for line in testDict['variableDomainsDict'].split('\n'):
+        variable, domain = line.split(' : ')
+        variableDomainsDict[variable] = domain.split(' ')
+
+    parseDict['variableDomainsDict'] = variableDomainsDict
+
+
+    factorsDict = {} # assume args is a list of factor names and maybe a variable name at the end
+    if goingToEliminate:
+        eliminateVariable = testDict["eliminateVariable"]
+        parseDict['eliminateVariable'] = eliminateVariable
+
+    # for normalize need evidence so that normalize is nontrivial
+    if goingToEvidenceAssign:
+        evidenceAssignmentString = testDict["evidenceDict"]
+        evidenceDict = {}
+        for line in evidenceAssignmentString.split('\n'):
+            if(line.count(' : ')): #so we can pass empty dicts for unnormalized variables
+                evidenceVariable, evidenceAssignment = line.split(' : ')
+                evidenceDict[evidenceVariable] = evidenceAssignment
+        parseDict['evidenceDict'] = evidenceDict
+
+    for factorName in testDict["factorArgs"].split(' '):
+        # construct a dict from names to factors and 
+        # load a factor from the test file for each
+
+        currentFactor = parseFactorFromFileDict(testDict, variableDomainsDict=variableDomainsDict,
+                                                prefix=factorName)
+        factorsDict[factorName] = currentFactor
+
+    parseDict['factorsDict'] = factorsDict
+
+    return parseDict
+
+def replaceTestFile(file_path, typeOfTest, inputToTest):
+    #Create temp file
+    fh, abs_path = mkstemp()
+    with open(abs_path,'w') as new_file:
+        with open(file_path) as old_file:
+            # Assumes that variableDomainsDict is the last 
+            # entry in the test file before the factors start to 
+            # get enumerated
+            for line in old_file:
+                new_file.write(line)
+                if 'endOfNonFactors' in line:
+                    break
+        if typeOfTest == 'BayesNet':
+            new_file.write("\n" + inputToTest.easierToParseString())
+        elif typeOfTest == 'Factors':
+            new_file.write("\n" + "\n".join([factor.easierToParseString(prefix=name, 
+                                      printVariableDomainsDict=False) for 
+                                      name, factor in inputToTest.items()]))
+
+
+    close(fh)
+    #Remove original file
+    remove(file_path)
+    #Move new file
+    move(abs_path, file_path)
+
+def parseFactorFromFileDict(fileDict, variableDomainsDict=None, prefix=None):
+    if prefix is None:
+        prefix = ''
+    if variableDomainsDict is None:
+        variableDomainsDict = {}
+        for line in fileDict['variableDomainsDict'].split('\n'):
+            variable, domain = line.split(' : ')
+            variableDomainsDict[variable] = domain.split(' ')
+    # construct a dict from names to factors and 
+    # load a factor from the test file for each
+
+
+    unconditionedVariables = []
+    for variable in fileDict[prefix + "unconditionedVariables"].split(' '):
+        unconditionedVariable = variable.strip()
+        unconditionedVariables.append(unconditionedVariable)
+
+    conditionedVariables = []
+    for variable in fileDict[prefix + "conditionedVariables"].split(' '):
+        conditionedVariable = variable.strip()
+        if variable != '':
+            conditionedVariables.append(conditionedVariable)
+
+    if 'constructRandomly' not in fileDict or fileDict['constructRandomly'] == 'False':
+        currentFactor = bayesNet.Factor(unconditionedVariables, conditionedVariables,
+                                        variableDomainsDict)
+        for line in fileDict[prefix + 'FactorTable'].split('\n'):
+            assignments, probability = line.split(" = ")
+            assignmentList = [assignment for assignment in assignments.split(', ')]
+
+            assignmentsDict = {}
+            for assignment in assignmentList:
+                var, value = assignment.split(' : ')
+                assignmentsDict[var] = value
+            
+            currentFactor.setProbability(assignmentsDict, float(probability))
+    elif fileDict['constructRandomly'] == 'True':
+        currentFactor = bayesNet.constructAndFillFactorRandomly(unconditionedVariables, conditionedVariables, variableDomainsDict)
+    return currentFactor
+
+def parseSolutionBayesNet(solutionDict):
+    # needs to be able to parse in a bayes net
+    variableDomainsDict = {}
+    for line in solutionDict['variableDomainsDict'].split('\n'):
+        variable, domain = line.split(' : ')
+        variableDomainsDict[variable] = domain.split(' ')
+
+    variables = list(variableDomainsDict.keys())
+    edgeList = []
+    for variable in variables:
+        parents = solutionDict[variable + 'conditionedVariables'].split(' ')
+        for parent in parents:
+            if parent != '':
+                edgeList.append((parent, variable))
+
+    net = bayesNet.constructEmptyBayesNet(variables, edgeList, variableDomainsDict)
+
+    factors = {}
+    for variable in variables:
+        net.setCPT(variable, parseFactorFromFileDict(solutionDict, variableDomainsDict, variable))
+
+    return net
+
+def parseBayesNetProblem(testDict):
+    # needs to be able to parse in a bayes net,
+    # and figure out what type of operation to perform and on what
+    parseDict = {}
+
+    variableDomainsDict = {}
+    for line in testDict['variableDomainsDict'].split('\n'):
+        variable, domain = line.split(' : ')
+        variableDomainsDict[variable] = domain.split(' ')
+
+    parseDict['variableDomainsDict'] = variableDomainsDict
+
+
+    
+    variables = []
+    for line in testDict["variables"].split('\n'):
+        
+        variable = line.strip()
+        variables.append(variable)
+
+    edges = []
+    for line in testDict["edges"].split('\n'):
+        
+        tokens = line.strip().split()
+        if len(tokens) == 2:
+            edges.append((tokens[0], tokens[1]))
+
+        else:
+            raise Exception, "[parseBayesNetProblem] Bad evaluation line: |%s|" % (line,)
+
+
+    # inference query args
+
+    queryVariables = testDict['queryVariables'].split(' ')
+
+    parseDict['queryVariables'] = queryVariables
+
+    evidenceDict = {}
+    for line in testDict['evidenceDict'].split('\n'):
+        if(line.count(' : ')): #so we can pass empty dicts for unnormalized variables        
+            (evidenceVariable, evidenceValue) = line.split(' : ')
+            evidenceDict[evidenceVariable] = evidenceValue
+
+    parseDict['evidenceDict'] = evidenceDict
+
+    if testDict['constructRandomly'] == 'False':
+        # load from test file
+        problemBayesNet = bayesNet.constructEmptyBayesNet(variables, edges, variableDomainsDict)
+        for variable in variables:
+            currentFactor = bayesNet.Factor([variable], problemBayesNet.inEdges()[variable], variableDomainsDict)
+            for line in testDict[variable + 'FactorTable'].split('\n'):
+                assignments, probability = line.split(" = ")
+                assignmentList = [assignment for assignment in assignments.split(', ')]
+
+                assignmentsDict = {}
+                for assignment in assignmentList:
+                    var, value = assignment.split(' : ')
+                    assignmentsDict[var] = value
+                
+                currentFactor.setProbability(assignmentsDict, float(probability))
+            problemBayesNet.setCPT(variable, currentFactor)
+            #print currentFactor
+    elif testDict['constructRandomly'] == 'True':
+        problemBayesNet = bayesNet.constructRandomlyFilledBayesNet(variables, edges, variableDomainsDict)
+
+    parseDict['problemBayesNet'] = problemBayesNet
+
+    if testDict['alg'] == 'inferenceByVariableElimination':
+        variableEliminationOrder = testDict['variableEliminationOrder'].split(' ')
+        parseDict['variableEliminationOrder'] = variableEliminationOrder
+    elif testDict['alg'] == 'inferenceByLikelihoodWeightingSampling':
+        numSamples = int(testDict['numSamples'])
+        parseDict['numSamples'] = numSamples
+
+    return parseDict
diff --git a/cs188-projects-master/P4 Bayes Nets/bayesNets2TestClasses.pyc b/cs188-projects-master/P4 Bayes Nets/bayesNets2TestClasses.pyc
new file mode 100644
index 0000000..0d5c118
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/bayesNets2TestClasses.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/factorOperations.py b/cs188-projects-master/P4 Bayes Nets/factorOperations.py
new file mode 100644
index 0000000..54b693b
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/factorOperations.py	
@@ -0,0 +1,269 @@
+# factorOperations.py
+# -------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from bayesNet import Factor
+import operator as op
+import util
+
+def joinFactorsByVariableWithCallTracking(callTrackingList=None):
+
+
+    def joinFactorsByVariable(factors, joinVariable):
+        """
+        Input factors is a list of factors.
+        Input joinVariable is the variable to join on.
+
+        This function performs a check that the variable that is being joined on 
+        appears as an unconditioned variable in only one of the input factors.
+
+        Then, it calls your joinFactors on all of the factors in factors that 
+        contain that variable.
+
+        Returns a tuple of 
+        (factors not joined, resulting factor from joinFactors)
+        """
+
+        if not (callTrackingList is None):
+            callTrackingList.append(('join', joinVariable))
+
+        currentFactorsToJoin =    [factor for factor in factors if joinVariable in factor.variablesSet()]
+        currentFactorsNotToJoin = [factor for factor in factors if joinVariable not in factor.variablesSet()]
+
+        # typecheck portion
+        numVariableOnLeft = len([factor for factor in currentFactorsToJoin if joinVariable in factor.unconditionedVariables()])
+        if numVariableOnLeft > 1:
+            print "Factor failed joinFactorsByVariable typecheck: ", factor
+            raise ValueError, ("The joinBy variable can only appear in one factor as an \nunconditioned variable. \n" +  
+                               "joinVariable: " + str(joinVariable) + "\n" +
+                               ", ".join(map(str, [factor.unconditionedVariables() for factor in currentFactorsToJoin])))
+        
+        joinedFactor = joinFactors(currentFactorsToJoin)
+        return currentFactorsNotToJoin, joinedFactor
+
+    return joinFactorsByVariable
+
+joinFactorsByVariable = joinFactorsByVariableWithCallTracking()
+
+
+def joinFactors(factors):
+    """
+    Question 3: Your join implementation 
+
+    Input factors is a list of factors.  
+    
+    You should calculate the set of unconditioned variables and conditioned 
+    variables for the join of those factors.
+
+    Return a new factor that has those variables and whose probability entries 
+    are product of the corresponding rows of the input factors.
+
+    You may assume that the variableDomainsDict for all the input 
+    factors are the same, since they come from the same BayesNet.
+
+    joinFactors will only allow unconditionedVariables to appear in 
+    one input factor (so their join is well defined).
+
+    Hint: Factor methods that take an assignmentDict as input 
+    (such as getProbability and setProbability) can handle 
+    assignmentDicts that assign more variables than are in that factor.
+
+    Useful functions:
+    Factor.getAllPossibleAssignmentDicts
+    Factor.getProbability
+    Factor.setProbability
+    Factor.unconditionedVariables
+    Factor.conditionedVariables
+    Factor.variableDomainsDict
+    """
+
+    # typecheck portion
+    setsOfUnconditioned = [set(factor.unconditionedVariables()) for factor in factors]
+    if len(factors) > 1:
+        intersect = reduce(lambda x, y: x & y, setsOfUnconditioned)
+        if len(intersect) > 0:
+            print "Factor failed joinFactors typecheck: ", factor
+            raise ValueError, ("unconditionedVariables can only appear in one factor. \n"
+                    + "unconditionedVariables: " + str(intersect) + 
+                    "\nappear in more than one input factor.\n" + 
+                    "Input factors: \n" +
+                    "\n".join(map(str, factors)))
+
+    "*** YOUR CODE HERE ***"
+    unconditioned = []
+    conditioned = []
+    variableDomainsDict = {}
+
+    if factors and len(factors) > 0:
+        variableDomainsDict = factors[0].variableDomainsDict()
+
+    for f in factors:
+        temp_unconditioned = f.unconditionedVariables()
+        temp_conditioned = f.conditionedVariables()
+        unconditioned.extend(temp_unconditioned)
+        for conditioned_var in temp_conditioned:
+            if conditioned_var not in conditioned:
+                conditioned.append(conditioned_var)
+    conditioned = [var for var in conditioned if var not in unconditioned]
+
+    newFactor = Factor(unconditioned, conditioned, variableDomainsDict)
+    assignments = newFactor.getAllPossibleAssignmentDicts()
+    for assignment in assignments:
+        prob = 1
+        for factor in factors:
+            prob *= factor.getProbability(assignment)
+        newFactor.setProbability(assignment, prob)
+
+    return newFactor
+
+def eliminateWithCallTracking(callTrackingList=None):
+
+    def eliminate(factor, eliminationVariable):
+        """
+        Question 4: Your eliminate implementation 
+
+        Input factor is a single factor.
+        Input eliminationVariable is the variable to eliminate from factor.
+        eliminationVariable must be an unconditioned variable in factor.
+        
+        You should calculate the set of unconditioned variables and conditioned 
+        variables for the factor obtained by eliminating the variable
+        eliminationVariable.
+
+        Return a new factor where all of the rows mentioning
+        eliminationVariable are summed with rows that match
+        assignments on the other variables.
+
+        Useful functions:
+        Factor.getAllPossibleAssignmentDicts
+        Factor.getProbability
+        Factor.setProbability
+        Factor.unconditionedVariables
+        Factor.conditionedVariables
+        Factor.variableDomainsDict
+        """
+        # autograder tracking -- don't remove
+        if not (callTrackingList is None):
+            callTrackingList.append(('eliminate', eliminationVariable))
+
+        # typecheck portion
+        if eliminationVariable not in factor.unconditionedVariables():
+            print "Factor failed eliminate typecheck: ", factor
+            raise ValueError, ("Elimination variable is not an unconditioned variable " \
+                            + "in this factor\n" + 
+                            "eliminationVariable: " + str(eliminationVariable) + \
+                            "\nunconditionedVariables:" + str(factor.unconditionedVariables()))
+        
+        if len(factor.unconditionedVariables()) == 1:
+            print "Factor failed eliminate typecheck: ", factor
+            raise ValueError, ("Factor has only one unconditioned variable, so you " \
+                    + "can't eliminate \nthat variable.\n" + \
+                    "eliminationVariable:" + str(eliminationVariable) + "\n" +\
+                    "unconditionedVariables: " + str(factor.unconditionedVariables()))
+
+        "*** YOUR CODE HERE ***"
+        unconditioned = factor.unconditionedVariables()
+        unconditioned = [var for var in unconditioned if var != eliminationVariable]
+        conditioned = factor.conditionedVariables()
+        variableDomainsDict = factor.variableDomainsDict()
+        domain = variableDomainsDict[eliminationVariable]
+        newFactor = Factor(unconditioned, conditioned, variableDomainsDict)
+        for assignment in newFactor.getAllPossibleAssignmentDicts():
+            prob = 0
+            for elim_val in domain:
+                old_assignment = assignment.copy()
+                old_assignment[eliminationVariable] = elim_val
+                prob += factor.getProbability(old_assignment)
+            newFactor.setProbability(assignment, prob)
+        return newFactor
+
+    return eliminate
+
+eliminate = eliminateWithCallTracking()
+
+
+def normalize(factor):
+    """
+    Question 5: Your normalize implementation 
+
+    Input factor is a single factor.
+
+    The set of conditioned variables for the normalized factor consists 
+    of the input factor's conditioned variables as well as any of the 
+    input factor's unconditioned variables with exactly one entry in their 
+    domain.  Since there is only one entry in that variable's domain, we 
+    can either assume it was assigned as evidence to have only one variable 
+    in its domain, or it only had one entry in its domain to begin with.
+    This blurs the distinction between evidence assignments and variables 
+    with single value domains, but that is alright since we have to assign 
+    variables that only have one value in their domain to that single value.
+
+    Return a new factor where the sum of the all the probabilities in the table is 1.
+    This should be a new factor, not a modification of this factor in place.
+
+    If the sum of probabilities in the input factor is 0,
+    you should return None.
+
+    This is intended to be used at the end of a probabilistic inference query.
+    Because of this, all variables that have more than one element in their 
+    domain are assumed to be unconditioned.
+    There are more general implementations of normalize, but we will only 
+    implement this version.
+
+    Useful functions:
+    Factor.getAllPossibleAssignmentDicts
+    Factor.getProbability
+    Factor.setProbability
+    Factor.unconditionedVariables
+    Factor.conditionedVariables
+    Factor.variableDomainsDict
+    """
+
+    # typecheck portion
+    variableDomainsDict = factor.variableDomainsDict()
+    for conditionedVariable in factor.conditionedVariables():
+        if len(variableDomainsDict[conditionedVariable]) > 1:
+            print "Factor failed normalize typecheck: ", factor
+            raise ValueError, ("The factor to be normalized must have only one " + \
+                            "assignment of the \n" + "conditional variables, " + \
+                            "so that total probability will sum to 1\n" + 
+                            str(factor))
+
+    "*** YOUR CODE HERE ***"
+    # If the sum of probabilities in the input factor is 0,
+    # you should return None.
+    variableDomainsDict = factor.variableDomainsDict()
+    unconditioned = factor.unconditionedVariables()
+    conditioned = factor.conditionedVariables()
+
+    prob_sum = 0
+    old_assignments = factor.getAllPossibleAssignmentDicts()
+    for row in old_assignments:
+        prob_sum += factor.getProbability(row)
+    if prob_sum == 0:
+        return None
+
+    for var in unconditioned:
+        if len(variableDomainsDict[var]) == 1:
+            conditioned.add(var)
+    unconditioned = [var for var in unconditioned if var not in conditioned]
+    newFactor = Factor(unconditioned, conditioned, variableDomainsDict)
+
+    for assignment in newFactor.getAllPossibleAssignmentDicts():
+        prob = factor.getProbability(assignment)
+        newFactor.setProbability(assignment, prob / prob_sum)
+    return newFactor
+
+
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/factorOperations.pyc b/cs188-projects-master/P4 Bayes Nets/factorOperations.pyc
new file mode 100644
index 0000000..2c51c71
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/factorOperations.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/game.py b/cs188-projects-master/P4 Bayes Nets/game.py
new file mode 100644
index 0000000..164354a
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/game.py	
@@ -0,0 +1,723 @@
+# game.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import *
+import time, os
+import traceback
+import sys
+
+#######################
+# Parts worth reading #
+#######################
+
+class Agent:
+    """
+    An agent must define a getAction method, but may also define the
+    following methods which will be called if they exist:
+
+    def registerInitialState(self, state): # inspects the starting state
+    """
+    def __init__(self, index=0):
+        self.index = index
+
+    def getAction(self, state):
+        """
+        The Agent will receive a GameState (from either {pacman, capture, sonar}.py) and
+        must return an action from Directions.{North, South, East, West, Stop}
+        """
+        raiseNotDefined()
+
+class Directions:
+    NORTH = 'North'
+    SOUTH = 'South'
+    EAST = 'East'
+    WEST = 'West'
+    STOP = 'Stop'
+
+    LEFT =       {NORTH: WEST,
+                   SOUTH: EAST,
+                   EAST:  NORTH,
+                   WEST:  SOUTH,
+                   STOP:  STOP}
+
+    RIGHT =      dict([(y,x) for x, y in LEFT.items()])
+
+    REVERSE = {NORTH: SOUTH,
+               SOUTH: NORTH,
+               EAST: WEST,
+               WEST: EAST,
+               STOP: STOP}
+
+class Configuration:
+    """
+    A Configuration holds the (x,y) coordinate of a character, along with its
+    traveling direction.
+
+    The convention for positions, like a graph, is that (0,0) is the lower left corner, x increases
+    horizontally and y increases vertically.  Therefore, north is the direction of increasing y, or (0,1).
+    """
+
+    def __init__(self, pos, direction):
+        self.pos = pos
+        self.direction = direction
+
+    def getPosition(self):
+        return (self.pos)
+
+    def getDirection(self):
+        return self.direction
+
+    def isInteger(self):
+        x,y = self.pos
+        return x == int(x) and y == int(y)
+
+    def __eq__(self, other):
+        if other == None: return False
+        return (self.pos == other.pos and self.direction == other.direction)
+
+    def __hash__(self):
+        x = hash(self.pos)
+        y = hash(self.direction)
+        return hash(x + 13 * y)
+
+    def __str__(self):
+        return "(x,y)="+str(self.pos)+", "+str(self.direction)
+
+    def generateSuccessor(self, vector):
+        """
+        Generates a new configuration reached by translating the current
+        configuration by the action vector.  This is a low-level call and does
+        not attempt to respect the legality of the movement.
+
+        Actions are movement vectors.
+        """
+        x, y= self.pos
+        dx, dy = vector
+        direction = Actions.vectorToDirection(vector)
+        if direction == Directions.STOP:
+            direction = self.direction # There is no stop direction
+        return Configuration((x + dx, y+dy), direction)
+
+class AgentState:
+    """
+    AgentStates hold the state of an agent (configuration, speed, scared, etc).
+    """
+
+    def __init__( self, startConfiguration, isPacman ):
+        self.start = startConfiguration
+        self.configuration = startConfiguration
+        self.isPacman = isPacman
+        self.scaredTimer = 0
+        self.numCarrying = 0
+        self.numReturned = 0
+
+    def __str__( self ):
+        if self.isPacman:
+            return "Pacman: " + str( self.configuration )
+        else:
+            return "Ghost: " + str( self.configuration )
+
+    def __eq__( self, other ):
+        if other == None:
+            return False
+        return self.configuration == other.configuration and self.scaredTimer == other.scaredTimer
+
+    def __hash__(self):
+        return hash(hash(self.configuration) + 13 * hash(self.scaredTimer))
+
+    def copy( self ):
+        state = AgentState( self.start, self.isPacman )
+        state.configuration = self.configuration
+        state.scaredTimer = self.scaredTimer
+        state.numCarrying = self.numCarrying
+        state.numReturned = self.numReturned
+        return state
+
+    def getPosition(self):
+        if self.configuration == None: return None
+        return self.configuration.getPosition()
+
+    def getDirection(self):
+        return self.configuration.getDirection()
+
+class Grid:
+    """
+    A 2-dimensional array of objects backed by a list of lists.  Data is accessed
+    via grid[x][y] where (x,y) are positions on a Pacman map with x horizontal,
+    y vertical and the origin (0,0) in the bottom left corner.
+
+    The __str__ method constructs an output that is oriented like a pacman board.
+    """
+    def __init__(self, width, height, initialValue=False, bitRepresentation=None):
+        if initialValue not in [False, True]: raise Exception('Grids can only contain booleans')
+        self.CELLS_PER_INT = 30
+
+        self.width = width
+        self.height = height
+        self.data = [[initialValue for y in range(height)] for x in range(width)]
+        if bitRepresentation:
+            self._unpackBits(bitRepresentation)
+
+    def __getitem__(self, i):
+        return self.data[i]
+
+    def __setitem__(self, key, item):
+        self.data[key] = item
+
+    def __str__(self):
+        out = [[str(self.data[x][y])[0] for x in range(self.width)] for y in range(self.height)]
+        out.reverse()
+        return '\n'.join([''.join(x) for x in out])
+
+    def __eq__(self, other):
+        if other == None: return False
+        return self.data == other.data
+
+    def __hash__(self):
+        # return hash(str(self))
+        base = 1
+        h = 0
+        for l in self.data:
+            for i in l:
+                if i:
+                    h += base
+                base *= 2
+        return hash(h)
+
+    def copy(self):
+        g = Grid(self.width, self.height)
+        g.data = [x[:] for x in self.data]
+        return g
+
+    def deepCopy(self):
+        return self.copy()
+
+    def shallowCopy(self):
+        g = Grid(self.width, self.height)
+        g.data = self.data
+        return g
+
+    def count(self, item =True ):
+        return sum([x.count(item) for x in self.data])
+
+    def asList(self, key = True):
+        list = []
+        for x in range(self.width):
+            for y in range(self.height):
+                if self[x][y] == key: list.append( (x,y) )
+        return list
+
+    def packBits(self):
+        """
+        Returns an efficient int list representation
+
+        (width, height, bitPackedInts...)
+        """
+        bits = [self.width, self.height]
+        currentInt = 0
+        for i in range(self.height * self.width):
+            bit = self.CELLS_PER_INT - (i % self.CELLS_PER_INT) - 1
+            x, y = self._cellIndexToPosition(i)
+            if self[x][y]:
+                currentInt += 2 ** bit
+            if (i + 1) % self.CELLS_PER_INT == 0:
+                bits.append(currentInt)
+                currentInt = 0
+        bits.append(currentInt)
+        return tuple(bits)
+
+    def _cellIndexToPosition(self, index):
+        x = index / self.height
+        y = index % self.height
+        return x, y
+
+    def _unpackBits(self, bits):
+        """
+        Fills in data from a bit-level representation
+        """
+        cell = 0
+        for packed in bits:
+            for bit in self._unpackInt(packed, self.CELLS_PER_INT):
+                if cell == self.width * self.height: break
+                x, y = self._cellIndexToPosition(cell)
+                self[x][y] = bit
+                cell += 1
+
+    def _unpackInt(self, packed, size):
+        bools = []
+        if packed < 0: raise ValueError, "must be a positive integer"
+        for i in range(size):
+            n = 2 ** (self.CELLS_PER_INT - i - 1)
+            if packed >= n:
+                bools.append(True)
+                packed -= n
+            else:
+                bools.append(False)
+        return bools
+
+def reconstituteGrid(bitRep):
+    if type(bitRep) is not type((1,2)):
+        return bitRep
+    width, height = bitRep[:2]
+    return Grid(width, height, bitRepresentation= bitRep[2:])
+
+####################################
+# Parts you shouldn't have to read #
+####################################
+
+class Actions:
+    """
+    A collection of static methods for manipulating move actions.
+    """
+    # Directions
+    _directions = {Directions.NORTH: (0, 1),
+                   Directions.SOUTH: (0, -1),
+                   Directions.EAST:  (1, 0),
+                   Directions.WEST:  (-1, 0),
+                   Directions.STOP:  (0, 0)}
+
+    _directionsAsList = _directions.items()
+
+    TOLERANCE = .001
+
+    def reverseDirection(action):
+        if action == Directions.NORTH:
+            return Directions.SOUTH
+        if action == Directions.SOUTH:
+            return Directions.NORTH
+        if action == Directions.EAST:
+            return Directions.WEST
+        if action == Directions.WEST:
+            return Directions.EAST
+        return action
+    reverseDirection = staticmethod(reverseDirection)
+
+    def vectorToDirection(vector):
+        dx, dy = vector
+        if dy > 0:
+            return Directions.NORTH
+        if dy < 0:
+            return Directions.SOUTH
+        if dx < 0:
+            return Directions.WEST
+        if dx > 0:
+            return Directions.EAST
+        return Directions.STOP
+    vectorToDirection = staticmethod(vectorToDirection)
+
+    def directionToVector(direction, speed = 1.0):
+        dx, dy =  Actions._directions[direction]
+        return (dx * speed, dy * speed)
+    directionToVector = staticmethod(directionToVector)
+
+    def getPossibleActions(config, walls, redWalls, blueWalls):
+        possible = []
+        x, y = config.pos
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+
+        # In between grid points, all agents must continue straight
+        if (abs(x - x_int) + abs(y - y_int)  > Actions.TOLERANCE):
+            return [config.getDirection()]
+
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_y = y_int + dy
+            next_x = x_int + dx
+            if not walls[next_x][next_y] and not redWalls[next_x][next_y] and not blueWalls[next_x][next_y]:
+                possible.append(dir)
+
+        return possible
+
+    getPossibleActions = staticmethod(getPossibleActions)
+
+    def getLegalNeighbors(position, walls):
+        x,y = position
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+        neighbors = []
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_x = x_int + dx
+            if next_x < 0 or next_x == walls.width: continue
+            next_y = y_int + dy
+            if next_y < 0 or next_y == walls.height: continue
+            if not walls[next_x][next_y]: neighbors.append((next_x, next_y))
+        return neighbors
+    getLegalNeighbors = staticmethod(getLegalNeighbors)
+
+    def getSuccessor(position, action):
+        dx, dy = Actions.directionToVector(action)
+        x, y = position
+        return (x + dx, y + dy)
+    getSuccessor = staticmethod(getSuccessor)
+
+class GameStateData:
+    """
+
+    """
+    def __init__( self, prevState = None ):
+        """
+        Generates a new data packet by copying information from its predecessor.
+        """
+        if prevState != None:
+            self.food = prevState.food.shallowCopy()
+            self.capsules = prevState.capsules[:]
+            self.agentStates = self.copyAgentStates( prevState.agentStates )
+            self.layout = prevState.layout
+            self._eaten = prevState._eaten
+            self.score = prevState.score
+            self.observedPositions = prevState.observedPositions
+
+        self._foodEaten = None
+        self._foodAdded = None
+        self._capsuleEaten = None
+        self._agentMoved = None
+        self._lose = False
+        self._win = False
+        self.scoreChange = 0
+
+    def deepCopy( self ):
+        state = GameStateData( self )
+        state.food = self.food.deepCopy()
+        state.layout = self.layout.deepCopy()
+        state._agentMoved = self._agentMoved
+        state._foodEaten = self._foodEaten
+        state._foodAdded = self._foodAdded
+        state._capsuleEaten = self._capsuleEaten
+        return state
+
+    def copyAgentStates( self, agentStates ):
+        copiedStates = []
+        for agentState in agentStates:
+            copiedStates.append( agentState.copy() )
+        return copiedStates
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        if other == None: return False
+        # TODO Check for type of other
+        if not self.agentStates == other.agentStates: return False
+        if not self.food == other.food: return False
+        if not self.capsules == other.capsules: return False
+        if not self.score == other.score: return False
+        return True
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        for i, state in enumerate( self.agentStates ):
+            try:
+                int(hash(state))
+            except TypeError, e:
+                print e
+                #hash(state)
+        return int((hash(tuple(self.agentStates)) + 13*hash(self.food) + 113* hash(tuple(self.capsules)) + 7 * hash(self.score)) % 1048575 )
+
+    def __str__( self ):
+        width, height = self.layout.width, self.layout.height
+        map = Grid(width, height)
+        if type(self.food) == type((1,2)):
+            self.food = reconstituteGrid(self.food)
+        for x in range(width):
+            for y in range(height):
+                food, walls = self.food, self.layout.walls
+                map[x][y] = self._foodWallStr(food[x][y], walls[x][y])
+
+        for agentState in self.agentStates:
+            if agentState == None: continue
+            if agentState.configuration == None: continue
+            x,y = [int( i ) for i in nearestPoint( agentState.configuration.pos )]
+            agent_dir = agentState.configuration.direction
+            if agentState.isPacman:
+                map[x][y] = self._pacStr( agent_dir )
+            else:
+                map[x][y] = self._ghostStr( agent_dir )
+
+        for x, y in self.capsules:
+            map[x][y] = 'o'
+
+        return str(map) + ("\nScore: %d\n" % self.score)
+
+    def _foodWallStr( self, hasFood, hasWall ):
+        if hasFood:
+            return '.'
+        elif hasWall:
+            return '%'
+        else:
+            return ' '
+
+    def _pacStr( self, dir ):
+        if dir == Directions.NORTH:
+            return 'v'
+        if dir == Directions.SOUTH:
+            return '^'
+        if dir == Directions.WEST:
+            return '>'
+        return '<'
+
+    def _ghostStr( self, dir ):
+        return 'G'
+        if dir == Directions.NORTH:
+            return 'M'
+        if dir == Directions.SOUTH:
+            return 'W'
+        if dir == Directions.WEST:
+            return '3'
+        return 'E'
+
+    def initialize( self, layout, numGhostAgents ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.food = layout.food.copy()
+        #self.capsules = []
+        self.capsules = layout.capsules[:]
+        self.layout = layout
+        self.score = 0
+        self.scoreChange = 0
+        self.observedPositions = Grid(self.layout.width, self.layout.height, False)
+
+        self.agentStates = []
+        numGhosts = 0
+        for isPacman, pos in layout.agentPositions:
+            if not isPacman:
+                if numGhosts == numGhostAgents: continue # Max ghosts reached already
+                else: numGhosts += 1
+            self.agentStates.append( AgentState( Configuration( pos, Directions.STOP), isPacman) )
+        self._eaten = [False for a in self.agentStates]
+
+try:
+    import boinc
+    _BOINC_ENABLED = True
+except:
+    _BOINC_ENABLED = False
+
+class Game:
+    """
+    The Game manages the control flow, soliciting actions from agents.
+    """
+
+    def __init__( self, agents, display, rules, startingIndex=0, muteAgents=False, catchExceptions=False ):
+        self.agentCrashed = False
+        self.agents = agents
+        self.display = display
+        self.rules = rules
+        self.startingIndex = startingIndex
+        self.gameOver = False
+        self.muteAgents = muteAgents
+        self.catchExceptions = catchExceptions
+        self.moveHistory = []
+        self.totalAgentTimes = [0 for agent in agents]
+        self.totalAgentTimeWarnings = [0 for agent in agents]
+        self.agentTimeout = False
+        import cStringIO
+        self.agentOutput = [cStringIO.StringIO() for agent in agents]
+
+    def getProgress(self):
+        if self.gameOver:
+            return 1.0
+        else:
+            return self.rules.getProgress(self)
+
+    def _agentCrash( self, agentIndex, quiet=False):
+        "Helper method for handling agent crashes"
+        if not quiet: traceback.print_exc()
+        self.gameOver = True
+        self.agentCrashed = True
+        self.rules.agentCrash(self, agentIndex)
+
+    OLD_STDOUT = None
+    OLD_STDERR = None
+
+    def mute(self, agentIndex):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        import cStringIO
+        OLD_STDOUT = sys.stdout
+        OLD_STDERR = sys.stderr
+        sys.stdout = self.agentOutput[agentIndex]
+        sys.stderr = self.agentOutput[agentIndex]
+
+    def unmute(self):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        # Revert stdout/stderr to originals
+        sys.stdout = OLD_STDOUT
+        sys.stderr = OLD_STDERR
+
+    def run( self ):
+        """
+        Main control loop for game play.
+        """
+        self.display.initialize(self.state.data)
+        self.numMoves = 0
+
+        ###self.display.initialize(self.state.makeObservation(1).data)
+        # inform learning agents of the game start
+        for i in range(len(self.agents)):
+            agent = self.agents[i]
+            if not agent:
+                self.mute(i)
+                # this is a null agent, meaning it failed to load
+                # the other team wins
+                print >>sys.stderr, "Agent %d failed to load" % i
+                self.unmute()
+                self._agentCrash(i, quiet=True)
+                return
+            if ("registerInitialState" in dir(agent)):
+                self.mute(i)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.registerInitialState, int(self.rules.getMaxStartupTime(i)))
+                        try:
+                            start_time = time.time()
+                            timed_func(self.state.deepCopy())
+                            time_taken = time.time() - start_time
+                            self.totalAgentTimes[i] += time_taken
+                        except TimeoutFunctionException:
+                            print >>sys.stderr, "Agent %d ran out of time on startup!" % i
+                            self.unmute()
+                            self.agentTimeout = True
+                            self._agentCrash(i, quiet=True)
+                            return
+                    except Exception,data:
+                        self._agentCrash(i, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    agent.registerInitialState(self.state.deepCopy())
+                ## TODO: could this exceed the total time
+                self.unmute()
+
+        agentIndex = self.startingIndex
+        numAgents = len( self.agents )
+
+        while not self.gameOver:
+            # Fetch the next agent
+            agent = self.agents[agentIndex]
+            move_time = 0
+            skip_action = False
+            # Generate an observation of the state
+            if 'observationFunction' in dir( agent ):
+                self.mute(agentIndex)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.observationFunction, int(self.rules.getMoveTimeout(agentIndex)))
+                        try:
+                            start_time = time.time()
+                            observation = timed_func(self.state.deepCopy())
+                        except TimeoutFunctionException:
+                            skip_action = True
+                        move_time += time.time() - start_time
+                        self.unmute()
+                    except Exception,data:
+                        self._agentCrash(agentIndex, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    observation = agent.observationFunction(self.state.deepCopy())
+                self.unmute()
+            else:
+                observation = self.state.deepCopy()
+
+            # Solicit an action
+            action = None
+            self.mute(agentIndex)
+            if self.catchExceptions:
+                try:
+                    timed_func = TimeoutFunction(agent.getAction, int(self.rules.getMoveTimeout(agentIndex)) - int(move_time))
+                    try:
+                        start_time = time.time()
+                        if skip_action:
+                            raise TimeoutFunctionException()
+                        action = timed_func( observation )
+                    except TimeoutFunctionException:
+                        print >>sys.stderr, "Agent %d timed out on a single move!" % agentIndex
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+
+                    move_time += time.time() - start_time
+
+                    if move_time > self.rules.getMoveWarningTime(agentIndex):
+                        self.totalAgentTimeWarnings[agentIndex] += 1
+                        print >>sys.stderr, "Agent %d took too long to make a move! This is warning %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                        if self.totalAgentTimeWarnings[agentIndex] > self.rules.getMaxTimeWarnings(agentIndex):
+                            print >>sys.stderr, "Agent %d exceeded the maximum number of warnings: %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                            self.agentTimeout = True
+                            self._agentCrash(agentIndex, quiet=True)
+                            self.unmute()
+                            return
+
+                    self.totalAgentTimes[agentIndex] += move_time
+                    #print "Agent: %d, time: %f, total: %f" % (agentIndex, move_time, self.totalAgentTimes[agentIndex])
+                    if self.totalAgentTimes[agentIndex] > self.rules.getMaxTotalTime(agentIndex):
+                        print >>sys.stderr, "Agent %d ran out of time! (time: %1.2f)" % (agentIndex, self.totalAgentTimes[agentIndex])
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+                    self.unmute()
+                except Exception,data:
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                action = agent.getAction(observation)
+            self.unmute()
+
+            # Execute the action
+            self.moveHistory.append( (agentIndex, action) )
+            if self.catchExceptions:
+                try:
+                    self.state = self.state.generateSuccessor( agentIndex, action )
+                except Exception,data:
+                    self.mute(agentIndex)
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                self.state = self.state.generateSuccessor( agentIndex, action )
+
+            # Change the display
+            self.display.update( self.state.data )
+            ###idx = agentIndex - agentIndex % 2 + 1
+            ###self.display.update( self.state.makeObservation(idx).data )
+
+            # Allow for game specific conditions (winning, losing, etc.)
+            self.rules.process(self.state, self)
+            # Track progress
+            if agentIndex == numAgents + 1: self.numMoves += 1
+            # Next agent
+            agentIndex = ( agentIndex + 1 ) % numAgents
+
+            if _BOINC_ENABLED:
+                boinc.set_fraction_done(self.getProgress())
+
+        # inform a learning agent of the game result
+        for agentIndex, agent in enumerate(self.agents):
+            if "final" in dir( agent ) :
+                try:
+                    self.mute(agentIndex)
+                    agent.final( self.state )
+                    self.unmute()
+                except Exception,data:
+                    if not self.catchExceptions: raise
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+        self.display.finish()
diff --git a/cs188-projects-master/P4 Bayes Nets/game.pyc b/cs188-projects-master/P4 Bayes Nets/game.pyc
new file mode 100644
index 0000000..1722504
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/game.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/ghostAgents.py b/cs188-projects-master/P4 Bayes Nets/ghostAgents.py
new file mode 100644
index 0000000..152681e
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/ghostAgents.py	
@@ -0,0 +1,23 @@
+# ghostAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+
+class StationaryGhostAgent( Agent ):
+    def __init__( self, index ):
+        self.index = index
+
+    def getAction( self, state ):
+        return Directions.STOP
diff --git a/cs188-projects-master/P4 Bayes Nets/ghostAgents.pyc b/cs188-projects-master/P4 Bayes Nets/ghostAgents.pyc
new file mode 100644
index 0000000..3ccd53b
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/ghostAgents.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/grading.py b/cs188-projects-master/P4 Bayes Nets/grading.py
new file mode 100644
index 0000000..2b46f59
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/grading.py	
@@ -0,0 +1,323 @@
+# grading.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"Common code for autograders"
+
+import cgi
+import time
+import sys
+import json
+import traceback
+import pdb
+from collections import defaultdict
+import util
+
+class Grades:
+  "A data structure for project grades, along with formatting code to display them"
+  def __init__(self, projectName, questionsAndMaxesList,
+               gsOutput=False, edxOutput=False, muteOutput=False):
+    """
+    Defines the grading scheme for a project
+      projectName: project name
+      questionsAndMaxesDict: a list of (question name, max points per question)
+    """
+    self.questions = [el[0] for el in questionsAndMaxesList]
+    self.maxes = dict(questionsAndMaxesList)
+    self.points = Counter()
+    self.messages = dict([(q, []) for q in self.questions])
+    self.project = projectName
+    self.start = time.localtime()[1:6]
+    self.sane = True # Sanity checks
+    self.currentQuestion = None # Which question we're grading
+    self.edxOutput = edxOutput
+    self.gsOutput = gsOutput  # GradeScope output
+    self.mute = muteOutput
+    self.prereqs = defaultdict(set)
+
+    #print 'Autograder transcript for %s' % self.project
+    print 'Starting on %d-%d at %d:%02d:%02d' % self.start
+
+  def addPrereq(self, question, prereq):
+    self.prereqs[question].add(prereq)
+
+  def grade(self, gradingModule, exceptionMap = {}, bonusPic = False):
+    """
+    Grades each question
+      gradingModule: the module with all the grading functions (pass in with sys.modules[__name__])
+    """
+
+    completedQuestions = set([])
+    for q in self.questions:
+      print '\nQuestion %s' % q
+      print '=' * (9 + len(q))
+      print
+      self.currentQuestion = q
+
+      incompleted = self.prereqs[q].difference(completedQuestions)
+      if len(incompleted) > 0:
+          prereq = incompleted.pop()
+          print \
+"""*** NOTE: Make sure to complete Question %s before working on Question %s,
+*** because Question %s builds upon your answer for Question %s.
+""" % (prereq, q, q, prereq)
+          continue
+
+      if self.mute: util.mutePrint()
+      try:
+        util.TimeoutFunction(getattr(gradingModule, q),300)(self) # Call the question's function
+        #TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function
+      except Exception, inst:
+        self.addExceptionMessage(q, inst, traceback)
+        self.addErrorHints(exceptionMap, inst, q[1])
+      except:
+        self.fail('FAIL: Terminated with a string exception.')
+      finally:
+        if self.mute: util.unmutePrint()
+
+      if self.points[q] >= self.maxes[q]:
+        completedQuestions.add(q)
+
+      print '\n### Question %s: %d/%d ###\n' % (q, self.points[q], self.maxes[q])
+
+
+    print '\nFinished at %d:%02d:%02d' % time.localtime()[3:6]
+    print "\nProvisional grades\n=================="
+
+    for q in self.questions:
+      print 'Question %s: %d/%d' % (q, self.points[q], self.maxes[q])
+    print '------------------'
+    print 'Total: %d/%d' % (self.points.totalCount(), sum(self.maxes.values()))
+    if bonusPic and self.points.totalCount() == 25:
+      print """
+
+                     ALL HAIL GRANDPAC.
+              LONG LIVE THE GHOSTBUSTING KING.
+
+                  ---      ----      ---
+                  |  \    /  + \    /  |
+                  | + \--/      \--/ + |
+                  |   +     +          |
+                  | +     +        +   |
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+             \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              V   \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                   \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    V     @@@@@@@@@@@@@@@@@@@@@@@@
+                            @@@@@@@@@@@@@@@@@@@@@@
+                    /\      @@@@@@@@@@@@@@@@@@@@@@
+                   /  \  @@@@@@@@@@@@@@@@@@@@@@@@@
+              /\  /    @@@@@@@@@@@@@@@@@@@@@@@@@@@
+             /  \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            /    @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    @@@@@@@@@@@@@@@@@@
+
+"""
+    print """
+Your grades are NOT yet registered.  To register your grades, make sure
+to follow your instructor's guidelines to receive credit on your project.
+"""
+
+    if self.edxOutput:
+        self.produceOutput()
+    if self.gsOutput:
+        self.produceGradeScopeOutput()
+
+  def addExceptionMessage(self, q, inst, traceback):
+    """
+    Method to format the exception message, this is more complicated because
+    we need to cgi.escape the traceback but wrap the exception in a 
 tag
+    """
+    self.fail('FAIL: Exception raised: %s' % inst)
+    self.addMessage('')
+    for line in traceback.format_exc().split('\n'):
+        self.addMessage(line)
+
+  def addErrorHints(self, exceptionMap, errorInstance, questionNum):
+    typeOf = str(type(errorInstance))
+    questionName = 'q' + questionNum
+    errorHint = ''
+
+    # question specific error hints
+    if exceptionMap.get(questionName):
+      questionMap = exceptionMap.get(questionName)
+      if (questionMap.get(typeOf)):
+        errorHint = questionMap.get(typeOf)
+    # fall back to general error messages if a question specific
+    # one does not exist
+    if (exceptionMap.get(typeOf)):
+      errorHint = exceptionMap.get(typeOf)
+
+    # dont include the HTML if we have no error hint
+    if not errorHint:
+      return ''
+
+    for line in errorHint.split('\n'):
+      self.addMessage(line)
+
+  def produceGradeScopeOutput(self):
+    out_dct = {}
+
+    # total of entire submission
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    out_dct['score'] = total_score
+    out_dct['max_score'] = total_possible
+    out_dct['output'] = "Total score (%d / %d)" % (total_score, total_possible)
+
+    # individual tests
+    tests_out = []
+    for name in self.questions:
+      test_out = {}
+      # test name
+      test_out['name'] = name
+      # test score
+      test_out['score'] = self.points[name]
+      test_out['max_score'] = self.maxes[name]
+      # others
+      is_correct = self.points[name] >= self.maxes[name]
+      test_out['output'] = "  Question {num} ({points}/{max}) {correct}".format(
+          num=(name[1] if len(name) == 2 else name),
+          points=test_out['score'],
+          max=test_out['max_score'],
+          correct=('X' if not is_correct else ''),
+      )
+      test_out['tags'] = []
+      tests_out.append(test_out)
+    out_dct['tests'] = tests_out
+
+    # file output
+    with open('gradescope_response.json', 'w') as outfile:
+        json.dump(out_dct, outfile)
+    return
+
+  def produceOutput(self):
+    edxOutput = open('edx_response.html', 'w')
+    edxOutput.write("
")
+
+    # first sum
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    checkOrX = ''
+    if (total_score >= total_possible):
+        checkOrX = ''
+    header = """
+        

+            Total score ({total_score} / {total_possible})
+        

+    """.format(total_score = total_score,
+      total_possible = total_possible,
+      checkOrX = checkOrX
+    )
+    edxOutput.write(header)
+
+    for q in self.questions:
+      if len(q) == 2:
+          name = q[1]
+      else:
+          name = q
+      checkOrX = ''
+      if (self.points[q] >= self.maxes[q]):
+        checkOrX = ''
+      #messages = '\n
\n'.join(self.messages[q])
+      messages = "
%s
" % '\n'.join(self.messages[q])
+      output = """
+        

+          

+          

+            Question {q} ({points}/{max}) {checkOrX}
+          

+        

+          {messages}
+        

+        

+      

+      """.format(q = name,
+        max = self.maxes[q],
+        messages = messages,
+        checkOrX = checkOrX,
+        points = self.points[q]
+      )
+      # print "*** output for Question %s " % q[1]
+      # print output
+      edxOutput.write(output)
+    edxOutput.write("
")
+    edxOutput.close()
+    edxOutput = open('edx_grade', 'w')
+    edxOutput.write(str(self.points.totalCount()))
+    edxOutput.close()
+
+  def fail(self, message, raw=False):
+    "Sets sanity check bit to false and outputs a message"
+    self.sane = False
+    self.assignZeroCredit()
+    self.addMessage(message, raw)
+
+  def assignZeroCredit(self):
+    self.points[self.currentQuestion] = 0
+
+  def addPoints(self, amt):
+    self.points[self.currentQuestion] += amt
+
+  def deductPoints(self, amt):
+    self.points[self.currentQuestion] -= amt
+
+  def assignFullCredit(self, message="", raw=False):
+    self.points[self.currentQuestion] = self.maxes[self.currentQuestion]
+    if message != "":
+      self.addMessage(message, raw)
+
+  def addMessage(self, message, raw=False):
+    if not raw:
+        # We assume raw messages, formatted for HTML, are printed separately
+        if self.mute: util.unmutePrint()
+        print '*** ' + message
+        if self.mute: util.mutePrint()
+        message = cgi.escape(message)
+    self.messages[self.currentQuestion].append(message)
+
+  def addMessageToEmail(self, message):
+    print "WARNING**** addMessageToEmail is deprecated %s" % message
+    for line in message.split('\n'):
+      pass
+      #print '%%% ' + line + ' %%%'
+      #self.messages[self.currentQuestion].append(line)
+
+
+
+
+
+class Counter(dict):
+  """
+  Dict with default 0
+  """
+  def __getitem__(self, idx):
+    try:
+      return dict.__getitem__(self, idx)
+    except KeyError:
+      return 0
+
+  def totalCount(self):
+    """
+    Returns the sum of counts for all keys.
+    """
+    return sum(self.values())
+
diff --git a/cs188-projects-master/P4 Bayes Nets/grading.pyc b/cs188-projects-master/P4 Bayes Nets/grading.pyc
new file mode 100644
index 0000000..b2a5f7f
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/grading.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/graphicsDisplay.py b/cs188-projects-master/P4 Bayes Nets/graphicsDisplay.py
new file mode 100644
index 0000000..21cb180
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/graphicsDisplay.py	
@@ -0,0 +1,696 @@
+# graphicsDisplay.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsUtils import *
+import math, time
+from game import Directions
+
+###########################
+#  GRAPHICS DISPLAY CODE  #
+###########################
+
+# Most code by Dan Klein and John Denero written or rewritten for cs188, UC Berkeley.
+# Some code from a Pacman implementation by LiveWires, and used / modified with permission.
+
+DEFAULT_GRID_SIZE = 30.0
+INFO_PANE_HEIGHT = 35
+BACKGROUND_COLOR = formatColor(0,0,0)
+WALL_COLOR = formatColor(0.0/255.0, 51.0/255.0, 255.0/255.0)
+INFO_PANE_COLOR = formatColor(.4,.4,0)
+SCORE_COLOR = formatColor(.9, .9, .9)
+PACMAN_OUTLINE_WIDTH = 2
+PACMAN_CAPTURE_OUTLINE_WIDTH = 4
+
+GHOST_COLORS = []
+GHOST_COLORS.append(formatColor(.9,0,0)) # Red
+GHOST_COLORS.append(formatColor(0,.3,.9)) # Blue
+GHOST_COLORS.append(formatColor(.98,.41,.07)) # Orange
+GHOST_COLORS.append(formatColor(.1,.75,.7)) # Green
+GHOST_COLORS.append(formatColor(1.0,0.6,0.0)) # Yellow
+GHOST_COLORS.append(formatColor(.4,0.13,0.91)) # Purple
+
+TEAM_COLORS = GHOST_COLORS[:2]
+
+GHOST_SHAPE = [
+    ( 0,    0.3 ),
+    ( 0.25, 0.75 ),
+    ( 0.5,  0.3 ),
+    ( 0.75, 0.75 ),
+    ( 0.75, -0.5 ),
+    ( 0.5,  -0.75 ),
+    (-0.5,  -0.75 ),
+    (-0.75, -0.5 ),
+    (-0.75, 0.75 ),
+    (-0.5,  0.3 ),
+    (-0.25, 0.75 )
+  ]
+GHOST_SIZE = 0.65
+SCARED_COLOR = formatColor(1,1,1)
+
+GHOST_VEC_COLORS = map(colorToVector, GHOST_COLORS)
+
+PACMAN_COLOR = formatColor(255.0/255.0,255.0/255.0,61.0/255)
+PACMAN_SCALE = 0.5
+#pacman_speed = 0.25
+
+# Food
+FOOD_COLOR = formatColor(1,1,1)
+FOOD_SIZE = 0.1
+
+# Laser
+LASER_COLOR = formatColor(1,0,0)
+LASER_SIZE = 0.02
+
+# Capsule graphics
+CAPSULE_COLOR = formatColor(1,1,1)
+CAPSULE_SIZE = 0.25
+
+# Drawing walls
+WALL_RADIUS = 0.15
+
+class InfoPane:
+    def __init__(self, layout, gridSize):
+        self.gridSize = gridSize
+        self.width = (layout.width) * gridSize
+        self.base = (layout.height + 1) * gridSize
+        self.height = INFO_PANE_HEIGHT
+        self.fontSize = 24
+        self.textColor = PACMAN_COLOR
+        self.drawPane()
+
+    def toScreen(self, pos, y = None):
+        """
+          Translates a point relative from the bottom left of the info pane.
+        """
+        if y == None:
+            x,y = pos
+        else:
+            x = pos
+
+        x = self.gridSize + x # Margin
+        y = self.base + y
+        return x,y
+
+    def drawPane(self):
+        self.scoreText = text( self.toScreen(0, 0  ), self.textColor, "SCORE:    0", "Times", self.fontSize, "bold")
+
+    def initializeGhostDistances(self, distances):
+        self.ghostDistanceText = []
+
+        size = 20
+        if self.width < 240:
+            size = 12
+        if self.width < 160:
+            size = 10
+
+        for i, d in enumerate(distances):
+            t = text( self.toScreen(self.width/2 + self.width/8 * i, 0), GHOST_COLORS[i+1], d, "Times", size, "bold")
+            self.ghostDistanceText.append(t)
+
+    def updateScore(self, score):
+        changeText(self.scoreText, "SCORE: % 4d" % score)
+
+    def setTeam(self, isBlue):
+        text = "RED TEAM"
+        if isBlue: text = "BLUE TEAM"
+        self.teamText = text( self.toScreen(300, 0  ), self.textColor, text, "Times", self.fontSize, "bold")
+
+    def updateGhostDistances(self, distances):
+        if len(distances) == 0: return
+        if 'ghostDistanceText' not in dir(self): self.initializeGhostDistances(distances)
+        else:
+            for i, d in enumerate(distances):
+                changeText(self.ghostDistanceText[i], d)
+
+    def drawGhost(self):
+        pass
+
+    def drawPacman(self):
+        pass
+
+    def drawWarning(self):
+        pass
+
+    def clearIcon(self):
+        pass
+
+    def updateMessage(self, message):
+        pass
+
+    def clearMessage(self):
+        pass
+
+
+class PacmanGraphics:
+    def __init__(self, zoom=1.0, frameTime=0.0, capture=False, hunters=False):
+        self.have_window = 0
+        self.currentGhostImages = {}
+        self.pacmanImage = None
+        self.zoom = zoom
+        self.gridSize = DEFAULT_GRID_SIZE * zoom
+        self.capture = capture
+        self.hunters = hunters
+        self.frameTime = frameTime
+
+    def checkNullDisplay(self):
+        return False
+
+    def initialize(self, state, isBlue = False):
+        self.isBlue = isBlue
+        self.startGraphics(state)
+
+        # self.drawDistributions(state)
+        self.distributionImages = None  # Initialized lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def startGraphics(self, state):
+        self.layout = state.layout
+        layout = self.layout
+        self.width = layout.width
+        self.height = layout.height
+        self.make_window(self.width, self.height)
+        self.infoPane = InfoPane(layout, self.gridSize)
+        self.currentState = layout
+
+    def drawDistributions(self, state):
+        walls = state.layout.walls
+        dist = []
+        for x in range(walls.width):
+            distx = []
+            dist.append(distx)
+            for y in range(walls.height):
+                ( screen_x, screen_y ) = self.to_screen( (x, y) )
+                block = square( (screen_x, screen_y),
+                                0.5 * self.gridSize,
+                                color = BACKGROUND_COLOR,
+                                filled = 1, behind=2)
+                distx.append(block)
+        self.distributionImages = dist
+
+    def drawStaticObjects(self, state):
+        layout = self.layout
+        self.drawWalls(layout.walls)
+        if self.hunters:
+            # self.drawWalls(layout.redWalls, GHOST_COLORS[0])
+            # self.drawWalls(layout.blueWalls, GHOST_COLORS[1])
+            self.food = []
+        else:
+            self.food = self.drawFood(layout.food)
+        self.capsules = self.drawCapsules(layout.capsules)
+        refresh()
+
+    def drawAgentObjects(self, state):
+        self.agentImages = [] # (agentState, image)
+        for index, agent in enumerate(state.agentStates):
+            if agent.isPacman:
+                image = self.drawPacman(agent, index)
+                self.agentImages.append( (agent, image) )
+            else:
+                image = self.drawGhost(agent, index)
+                self.agentImages.append( (agent, image) )
+        refresh()
+
+    def swapImages(self, agentIndex, newState):
+        """
+          Changes an image from a ghost to a pacman or vis versa (for capture)
+        """
+        prevState, prevImage = self.agentImages[agentIndex]
+        for item in prevImage: remove_from_screen(item)
+        if newState.isPacman:
+            image = self.drawPacman(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        else:
+            image = self.drawGhost(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        refresh()
+
+    def update(self, newState):
+        agentIndex = newState._agentMoved
+        agentState = newState.agentStates[agentIndex]
+
+        if self.agentImages[agentIndex][0].isPacman != agentState.isPacman: self.swapImages(agentIndex, agentState)
+        prevState, prevImage = self.agentImages[agentIndex]
+        if agentState.isPacman:
+            self.animatePacman(agentState, prevState, prevImage)
+        else:
+            self.moveGhost(agentState, agentIndex, prevState, prevImage)
+        self.agentImages[agentIndex] = (agentState, prevImage)
+
+        if newState._foodEaten != None:
+            self.removeFood(newState._foodEaten, self.food)
+        if newState._capsuleEaten != None:
+            self.removeCapsule(newState._capsuleEaten, self.capsules)
+        self.infoPane.updateScore(newState.score)
+        if 'ghostDistances' in dir(newState):
+            self.infoPane.updateGhostDistances(newState.ghostDistances)
+
+        if self.hunters:
+            self.drawWalls(self.layout.redWalls, GHOST_COLORS[0], newState.observedPositions)
+            self.drawWalls(self.layout.blueWalls, GHOST_COLORS[1], newState.observedPositions)
+
+    def make_window(self, width, height):
+        grid_width = (width-1) * self.gridSize
+        grid_height = (height-1) * self.gridSize
+        screen_width = 2*self.gridSize + grid_width
+        screen_height = 2*self.gridSize + grid_height + INFO_PANE_HEIGHT
+
+        begin_graphics(screen_width,
+                       screen_height,
+                       BACKGROUND_COLOR,
+                       "CS188 Pacman")
+
+    def drawPacman(self, pacman, index):
+        position = self.getPosition(pacman)
+        screen_point = self.to_screen(position)
+        endpoints = self.getEndpoints(self.getDirection(pacman))
+
+        width = PACMAN_OUTLINE_WIDTH
+        outlineColor = PACMAN_COLOR
+        fillColor = PACMAN_COLOR
+
+        if self.capture:
+            outlineColor = TEAM_COLORS[index % 2]
+            fillColor = GHOST_COLORS[index]
+            width = PACMAN_CAPTURE_OUTLINE_WIDTH
+
+        return [circle(screen_point, PACMAN_SCALE * self.gridSize,
+                       fillColor = fillColor, outlineColor = outlineColor,
+                       endpoints = endpoints,
+                       width = width)]
+
+    def getEndpoints(self, direction, position=(0,0)):
+        x, y = position
+        pos = x - int(x) + y - int(y)
+        width = 30 + 80 * math.sin(math.pi* pos)
+
+        delta = width / 2
+        if (direction == 'West'):
+            endpoints = (180+delta, 180-delta)
+        elif (direction == 'North'):
+            endpoints = (90+delta, 90-delta)
+        elif (direction == 'South'):
+            endpoints = (270+delta, 270-delta)
+        else:
+            endpoints = (0+delta, 0-delta)
+        return endpoints
+
+    def movePacman(self, position, direction, image):
+        screenPosition = self.to_screen(position)
+        endpoints = self.getEndpoints( direction, position )
+        r = PACMAN_SCALE * self.gridSize
+        moveCircle(image[0], screenPosition, r, endpoints)
+        refresh()
+
+    def animatePacman(self, pacman, prevPacman, image):
+        if self.frameTime < 0:
+            print 'Press any key to step forward, "q" to play'
+            keys = wait_for_keys()
+            if 'q' in keys:
+                self.frameTime = 0.1
+        if self.frameTime > 0.01 or self.frameTime < 0:
+            start = time.time()
+            fx, fy = self.getPosition(prevPacman)
+            px, py = self.getPosition(pacman)
+            frames = 4.0
+            for i in range(1,int(frames) + 1):
+                pos = px*i/frames + fx*(frames-i)/frames, py*i/frames + fy*(frames-i)/frames
+                self.movePacman(pos, self.getDirection(pacman), image)
+                refresh()
+                sleep(abs(self.frameTime) / frames)
+        else:
+            self.movePacman(self.getPosition(pacman), self.getDirection(pacman), image)
+        refresh()
+
+    def getGhostColor(self, ghost, ghostIndex):
+        if ghost.scaredTimer > 0:
+            return SCARED_COLOR
+        else:
+            return GHOST_COLORS[ghostIndex]
+
+    def drawGhost(self, ghost, agentIndex):
+        pos = self.getPosition(ghost)
+        dir = self.getDirection(ghost)
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        coords = []
+        for (x, y) in GHOST_SHAPE:
+            coords.append((x*self.gridSize*GHOST_SIZE + screen_x, y*self.gridSize*GHOST_SIZE + screen_y))
+
+        colour = self.getGhostColor(ghost, agentIndex)
+        body = polygon(coords, colour, filled = 1)
+        WHITE = formatColor(1.0, 1.0, 1.0)
+        BLACK = formatColor(0.0, 0.0, 0.0)
+
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        leftEye = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        rightEye = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        leftPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        rightPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        ghostImageParts = []
+        ghostImageParts.append(body)
+        ghostImageParts.append(leftEye)
+        ghostImageParts.append(rightEye)
+        ghostImageParts.append(leftPupil)
+        ghostImageParts.append(rightPupil)
+
+        return ghostImageParts
+
+    def moveEyes(self, pos, dir, eyes):
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        moveCircle(eyes[0],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[1],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[2],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+        moveCircle(eyes[3],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+
+    def moveGhost(self, ghost, ghostIndex, prevGhost, ghostImageParts):
+        old_x, old_y = self.to_screen(self.getPosition(prevGhost))
+        new_x, new_y = self.to_screen(self.getPosition(ghost))
+        delta = new_x - old_x, new_y - old_y
+
+        for ghostImagePart in ghostImageParts:
+            move_by(ghostImagePart, delta)
+        refresh()
+
+        if ghost.scaredTimer > 0:
+            color = SCARED_COLOR
+        else:
+            color = GHOST_COLORS[ghostIndex]
+        edit(ghostImageParts[0], ('fill', color), ('outline', color))
+        self.moveEyes(self.getPosition(ghost), self.getDirection(ghost), ghostImageParts[-4:])
+        refresh()
+
+    def getPosition(self, agentState):
+        if agentState.configuration == None: return (-1000, -1000)
+        return agentState.getPosition()
+
+    def getDirection(self, agentState):
+        if agentState.configuration == None: return Directions.STOP
+        return agentState.configuration.getDirection()
+
+    def finish(self):
+        end_graphics()
+
+    def to_screen(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    # Fixes some TK issue with off-center circles
+    def to_screen2(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    def drawWalls(self, wallMatrix, wallColor=None, obsMatrix=None):
+        if not wallColor:
+            wallColor = WALL_COLOR
+        for xNum, x in enumerate(wallMatrix):
+            if self.capture and (xNum * 2) < wallMatrix.width: wallColor = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) >= wallMatrix.width: wallColor = TEAM_COLORS[1]
+
+            for yNum, cell in enumerate(x):
+                if cell: # There's a wall here
+                    pos = (xNum, yNum)
+                    if obsMatrix and not obsMatrix[xNum][yNum]:
+                        continue
+                    screen = self.to_screen(pos)
+                    screen2 = self.to_screen2(pos)
+
+                    # draw each quadrant of the square based on adjacent walls
+                    wIsWall = self.isWall(xNum-1, yNum, wallMatrix)
+                    eIsWall = self.isWall(xNum+1, yNum, wallMatrix)
+                    nIsWall = self.isWall(xNum, yNum+1, wallMatrix)
+                    sIsWall = self.isWall(xNum, yNum-1, wallMatrix)
+                    nwIsWall = self.isWall(xNum-1, yNum+1, wallMatrix)
+                    swIsWall = self.isWall(xNum-1, yNum-1, wallMatrix)
+                    neIsWall = self.isWall(xNum+1, yNum+1, wallMatrix)
+                    seIsWall = self.isWall(xNum+1, yNum-1, wallMatrix)
+
+                    # NE quadrant
+                    if (not nIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (0,91), 'arc')
+                    if (nIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (eIsWall) and (not neIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (180,271), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # NW quadrant
+                    if (not nIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (90,181), 'arc')
+                    if (nIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (wIsWall) and (not nwIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (270,361), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # SE quadrant
+                    if (not sIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (270,361), 'arc')
+                    if (sIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (eIsWall) and (not seIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (90,181), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+                    # SW quadrant
+                    if (not sIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (180,271), 'arc')
+                    if (sIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (wIsWall) and (not swIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (0,91), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+    def isWall(self, x, y, walls, obsMatrix=None):
+        if x < 0 or y < 0:
+            return False
+        if x >= walls.width or y >= walls.height:
+            return False
+        if not self.hunters:
+            return walls[x][y]
+        seenColoredWall = obsMatrix and obsMatrix[x][y] and (self.layout.redWalls[x][y] or self.layout.blueWalls[x][y])
+        return walls[x][y] or self.layout.redWalls[x][y] or self.layout.blueWalls[x][y]
+
+    def drawFood(self, foodMatrix ):
+        foodImages = []
+        color = FOOD_COLOR
+        for xNum, x in enumerate(foodMatrix):
+            if self.capture and (xNum * 2) <= foodMatrix.width: color = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) > foodMatrix.width: color = TEAM_COLORS[1]
+            imageRow = []
+            foodImages.append(imageRow)
+            for yNum, cell in enumerate(x):
+                if cell: # There's food here
+                    screen = self.to_screen((xNum, yNum ))
+                    dot = circle( screen,
+                                  FOOD_SIZE * self.gridSize,
+                                  outlineColor = color, fillColor = color,
+                                  width = 1)
+                    imageRow.append(dot)
+                else:
+                    imageRow.append(None)
+        return foodImages
+
+    def drawCapsules(self, capsules ):
+        capsuleImages = {}
+        for capsule in capsules:
+            ( screen_x, screen_y ) = self.to_screen(capsule)
+            dot = circle( (screen_x, screen_y),
+                              CAPSULE_SIZE * self.gridSize,
+                              outlineColor = CAPSULE_COLOR,
+                              fillColor = CAPSULE_COLOR,
+                              width = 1)
+            capsuleImages[capsule] = dot
+        return capsuleImages
+
+    def removeFood(self, cell, foodImages ):
+        if not self.hunters:
+            x, y = cell
+            remove_from_screen(foodImages[x][y])
+
+    def removeCapsule(self, cell, capsuleImages ):
+        x, y = cell
+        remove_from_screen(capsuleImages[(x, y)])
+
+    def drawExpandedCells(self, cells):
+        """
+        Draws an overlay of expanded grid positions for search agents
+        """
+        n = float(len(cells))
+        baseColor = [1.0, 0.0, 0.0]
+        self.clearExpandedCells()
+        self.expandedCells = []
+        for k, cell in enumerate(cells):
+            screenPos = self.to_screen( cell)
+            cellColor = formatColor(*[(n-k) * c * .5 / n + .25 for c in baseColor])
+            block = square(screenPos,
+                     0.5 * self.gridSize,
+                     color = cellColor,
+                     filled = 1, behind=2)
+            self.expandedCells.append(block)
+            if self.frameTime < 0:
+                refresh()
+
+    def clearExpandedCells(self):
+        if 'expandedCells' in dir(self) and len(self.expandedCells) > 0:
+            for cell in self.expandedCells:
+                remove_from_screen(cell)
+
+
+    def updateDistributions(self, distributions):
+        "Draws an agent's belief distributions"
+        # copy all distributions so we don't change their state
+        distributions = map(lambda x: x.copy(), distributions)
+        if self.distributionImages == None:
+            self.drawDistributions(self.previousState)
+        for x in range(len(self.distributionImages)):
+            for y in range(len(self.distributionImages[0])):
+                image = self.distributionImages[x][y]
+                weights = [dist[ (x,y) ] for dist in distributions]
+
+                if sum(weights) != 0:
+                    pass
+                # Fog of war
+                color = [0.0,0.0,0.0]
+                colors = GHOST_VEC_COLORS[1:] # With Pacman
+                if self.capture: colors = GHOST_VEC_COLORS
+                for weight, gcolor in zip(weights, colors):
+                    color = [min(1.0, c + 0.95 * g * weight ** .3) for c,g in zip(color, gcolor)]
+                changeColor(image, formatColor(*color))
+        refresh()
+
+class FirstPersonPacmanGraphics(PacmanGraphics):
+    def __init__(self, zoom = 1.0, showGhosts = True, capture = False, frameTime=0, hunters=False):
+        PacmanGraphics.__init__(self, zoom, frameTime=frameTime, hunters=hunters)
+        self.showGhosts = showGhosts
+        self.capture = capture
+
+    def initialize(self, state, isBlue = False):
+
+        self.isBlue = isBlue
+        PacmanGraphics.startGraphics(self, state)
+        # Initialize distribution images
+        walls = state.layout.walls
+        dist = []
+        self.layout = state.layout
+
+        # Draw the rest
+        self.distributionImages = None  # initialize lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def lookAhead(self, config, state):
+        if config.getDirection() == 'Stop':
+            return
+        else:
+            pass
+            # Draw relevant ghosts
+            allGhosts = state.getGhostStates()
+            visibleGhosts = state.getVisibleGhosts()
+            for i, ghost in enumerate(allGhosts):
+                if ghost in visibleGhosts:
+                    self.drawGhost(ghost, i)
+                else:
+                    self.currentGhostImages[i] = None
+
+    def getGhostColor(self, ghost, ghostIndex):
+        return GHOST_COLORS[ghostIndex]
+
+    def getPosition(self, ghostState):
+        if not self.showGhosts and not ghostState.isPacman and ghostState.getPosition()[1] > 1:
+            return (-1000, -1000)
+        else:
+            return PacmanGraphics.getPosition(self, ghostState)
+
+def add(x, y):
+    return (x[0] + y[0], x[1] + y[1])
+
+
+# Saving graphical output
+# -----------------------
+# Note: to make an animated gif from this postscript output, try the command:
+# convert -delay 7 -loop 1 -compress lzw -layers optimize frame* out.gif
+# convert is part of imagemagick (freeware)
+
+SAVE_POSTSCRIPT = False
+POSTSCRIPT_OUTPUT_DIR = 'frames'
+FRAME_NUMBER = 0
+import os
+
+def saveFrame():
+    "Saves the current graphical output as a postscript file"
+    global SAVE_POSTSCRIPT, FRAME_NUMBER, POSTSCRIPT_OUTPUT_DIR
+    if not SAVE_POSTSCRIPT: return
+    if not os.path.exists(POSTSCRIPT_OUTPUT_DIR): os.mkdir(POSTSCRIPT_OUTPUT_DIR)
+    name = os.path.join(POSTSCRIPT_OUTPUT_DIR, 'frame_%08d.ps' % FRAME_NUMBER)
+    FRAME_NUMBER += 1
+    writePostscript(name) # writes the current canvas
diff --git a/cs188-projects-master/P4 Bayes Nets/graphicsDisplay.pyc b/cs188-projects-master/P4 Bayes Nets/graphicsDisplay.pyc
new file mode 100644
index 0000000..d63b7f2
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/graphicsDisplay.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/graphicsUtils.py b/cs188-projects-master/P4 Bayes Nets/graphicsUtils.py
new file mode 100644
index 0000000..b80d3d2
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/graphicsUtils.py	
@@ -0,0 +1,402 @@
+# graphicsUtils.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import math
+import random
+import string
+import time
+import types
+import Tkinter
+import os.path
+
+_Windows = sys.platform == 'win32'  # True if on Win95/98/NT
+
+_root_window = None      # The root window for graphics output
+_canvas = None      # The canvas which holds graphics
+_canvas_xs = None      # Size of canvas object
+_canvas_ys = None
+_canvas_x = None      # Current position on canvas
+_canvas_y = None
+_canvas_col = None      # Current colour (set to black below)
+_canvas_tsize = 12
+_canvas_tserifs = 0
+
+def formatColor(r, g, b):
+    return '#%02x%02x%02x' % (int(r * 255), int(g * 255), int(b * 255))
+
+def colorToVector(color):
+    return map(lambda x: int(x, 16) / 256.0, [color[1:3], color[3:5], color[5:7]])
+
+if _Windows:
+    _canvas_tfonts = ['times new roman', 'lucida console']
+else:
+    _canvas_tfonts = ['times', 'lucidasans-24']
+    pass # XXX need defaults here
+
+def sleep(secs):
+    global _root_window
+    if _root_window == None:
+        time.sleep(secs)
+    else:
+        _root_window.update_idletasks()
+        _root_window.after(int(1000 * secs), _root_window.quit)
+        _root_window.mainloop()
+
+def begin_graphics(width=640, height=480, color=formatColor(0, 0, 0), title=None):
+
+    global _root_window, _canvas, _canvas_x, _canvas_y, _canvas_xs, _canvas_ys, _bg_color
+
+    # Check for duplicate call
+    if _root_window is not None:
+        # Lose the window.
+        _root_window.destroy()
+
+    # Save the canvas size parameters
+    _canvas_xs, _canvas_ys = width - 1, height - 1
+    _canvas_x, _canvas_y = 0, _canvas_ys
+    _bg_color = color
+
+    # Create the root window
+    _root_window = Tkinter.Tk()
+    _root_window.protocol('WM_DELETE_WINDOW', _destroy_window)
+    _root_window.title(title or 'Graphics Window')
+    _root_window.resizable(0, 0)
+
+    # Create the canvas object
+    try:
+        _canvas = Tkinter.Canvas(_root_window, width=width, height=height)
+        _canvas.pack()
+        draw_background()
+        _canvas.update()
+    except:
+        _root_window = None
+        raise
+
+    # Bind to key-down and key-up events
+    _root_window.bind( "", _keypress )
+    _root_window.bind( "", _keyrelease )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _leftclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _ctrl_leftclick)
+    _clear_keys()
+
+_leftclick_loc = None
+_rightclick_loc = None
+_ctrl_leftclick_loc = None
+
+def _leftclick(event):
+    global _leftclick_loc
+    _leftclick_loc = (event.x, event.y)
+
+def _rightclick(event):
+    global _rightclick_loc
+    _rightclick_loc = (event.x, event.y)
+
+def _ctrl_leftclick(event):
+    global _ctrl_leftclick_loc
+    _ctrl_leftclick_loc = (event.x, event.y)
+
+def wait_for_click():
+    while True:
+        global _leftclick_loc
+        global _rightclick_loc
+        global _ctrl_leftclick_loc
+        if _leftclick_loc != None:
+            val = _leftclick_loc
+            _leftclick_loc = None
+            return val, 'left'
+        if _rightclick_loc != None:
+            val = _rightclick_loc
+            _rightclick_loc = None
+            return val, 'right'
+        if _ctrl_leftclick_loc != None:
+            val = _ctrl_leftclick_loc
+            _ctrl_leftclick_loc = None
+            return val, 'ctrl_left'
+        sleep(0.05)
+
+def draw_background():
+    corners = [(0,0), (0, _canvas_ys), (_canvas_xs, _canvas_ys), (_canvas_xs, 0)]
+    polygon(corners, _bg_color, fillColor=_bg_color, filled=True, smoothed=False)
+
+def _destroy_window(event=None):
+    sys.exit(0)
+#    global _root_window
+#    _root_window.destroy()
+#    _root_window = None
+    #print "DESTROY"
+
+def end_graphics():
+    global _root_window, _canvas, _mouse_enabled
+    try:
+        try:
+            sleep(1)
+            if _root_window != None:
+                _root_window.destroy()
+        except SystemExit, e:
+            print 'Ending graphics raised an exception:', e
+    finally:
+        _root_window = None
+        _canvas = None
+        _mouse_enabled = 0
+        _clear_keys()
+
+def clear_screen(background=None):
+    global _canvas_x, _canvas_y
+    _canvas.delete('all')
+    draw_background()
+    _canvas_x, _canvas_y = 0, _canvas_ys
+
+def polygon(coords, outlineColor, fillColor=None, filled=1, smoothed=1, behind=0, width=1):
+    c = []
+    for coord in coords:
+        c.append(coord[0])
+        c.append(coord[1])
+    if fillColor == None: fillColor = outlineColor
+    if filled == 0: fillColor = ""
+    poly = _canvas.create_polygon(c, outline=outlineColor, fill=fillColor, smooth=smoothed, width=width)
+    if behind > 0:
+        _canvas.tag_lower(poly, behind) # Higher should be more visible
+    return poly
+
+def square(pos, r, color, filled=1, behind=0):
+    x, y = pos
+    coords = [(x - r, y - r), (x + r, y - r), (x + r, y + r), (x - r, y + r)]
+    return polygon(coords, color, color, filled, 0, behind=behind)
+
+def circle(pos, r, outlineColor, fillColor, endpoints=None, style='pieslice', width=2):
+    x, y = pos
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    return _canvas.create_arc(x0, y0, x1, y1, outline=outlineColor, fill=fillColor,
+                              extent=e[1] - e[0], start=e[0], style=style, width=width)
+
+def image(pos, file="../../blueghost.gif"):
+    x, y = pos
+    # img = PhotoImage(file=file)
+    return _canvas.create_image(x, y, image = Tkinter.PhotoImage(file=file), anchor = Tkinter.NW)
+
+
+def refresh():
+    _canvas.update_idletasks()
+
+def moveCircle(id, pos, r, endpoints=None):
+    global _canvas_x, _canvas_y
+
+    x, y = pos
+#    x0, x1 = x - r, x + r + 1
+#    y0, y1 = y - r, y + r + 1
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    if os.path.isfile('flag'):
+        edit(id, ('extent', e[1] - e[0]))
+    else:
+        edit(id, ('start', e[0]), ('extent', e[1] - e[0]))
+    move_to(id, x0, y0)
+
+def edit(id, *args):
+    _canvas.itemconfigure(id, **dict(args))
+
+def text(pos, color, contents, font='Helvetica', size=12, style='normal', anchor="nw"):
+    global _canvas_x, _canvas_y
+    x, y = pos
+    font = (font, str(size), style)
+    return _canvas.create_text(x, y, fill=color, text=contents, font=font, anchor=anchor)
+
+def changeText(id, newText, font=None, size=12, style='normal'):
+    _canvas.itemconfigure(id, text=newText)
+    if font != None:
+        _canvas.itemconfigure(id, font=(font, '-%d' % size, style))
+
+def changeColor(id, newColor):
+    _canvas.itemconfigure(id, fill=newColor)
+
+def line(here, there, color=formatColor(0, 0, 0), width=2):
+    x0, y0 = here[0], here[1]
+    x1, y1 = there[0], there[1]
+    return _canvas.create_line(x0, y0, x1, y1, fill=color, width=width)
+
+##############################################################################
+### Keypress handling ########################################################
+##############################################################################
+
+# We bind to key-down and key-up events.
+
+_keysdown = {}
+_keyswaiting = {}
+# This holds an unprocessed key release.  We delay key releases by up to
+# one call to keys_pressed() to get round a problem with auto repeat.
+_got_release = None
+
+def _keypress(event):
+    global _got_release
+    #remap_arrows(event)
+    _keysdown[event.keysym] = 1
+    _keyswaiting[event.keysym] = 1
+#    print event.char, event.keycode
+    _got_release = None
+
+def _keyrelease(event):
+    global _got_release
+    #remap_arrows(event)
+    try:
+        del _keysdown[event.keysym]
+    except:
+        pass
+    _got_release = 1
+
+def remap_arrows(event):
+    # TURN ARROW PRESSES INTO LETTERS (SHOULD BE IN KEYBOARD AGENT)
+    if event.char in ['a', 's', 'd', 'w']:
+        return
+    if event.keycode in [37, 101]: # LEFT ARROW (win / x)
+        event.char = 'a'
+    if event.keycode in [38, 99]: # UP ARROW
+        event.char = 'w'
+    if event.keycode in [39, 102]: # RIGHT ARROW
+        event.char = 'd'
+    if event.keycode in [40, 104]: # DOWN ARROW
+        event.char = 's'
+
+def _clear_keys(event=None):
+    global _keysdown, _got_release, _keyswaiting
+    _keysdown = {}
+    _keyswaiting = {}
+    _got_release = None
+
+def keys_pressed(d_o_e=Tkinter.tkinter.dooneevent,
+                 d_w=Tkinter.tkinter.DONT_WAIT):
+    d_o_e(d_w)
+    if _got_release:
+        d_o_e(d_w)
+    return _keysdown.keys()
+
+def keys_waiting():
+    global _keyswaiting
+    keys = _keyswaiting.keys()
+    _keyswaiting = {}
+    return keys
+
+# Block for a list of keys...
+
+def wait_for_keys():
+    keys = []
+    while keys == []:
+        keys = keys_pressed()
+        sleep(0.05)
+    return keys
+
+def remove_from_screen(x,
+                       d_o_e=Tkinter.tkinter.dooneevent,
+                       d_w=Tkinter.tkinter.DONT_WAIT):
+    _canvas.delete(x)
+    d_o_e(d_w)
+
+def _adjust_coords(coord_list, x, y):
+    for i in range(0, len(coord_list), 2):
+        coord_list[i] = coord_list[i] + x
+        coord_list[i + 1] = coord_list[i + 1] + y
+    return coord_list
+
+def move_to(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT):
+    if y is None:
+        try: x, y = x
+        except: raise  'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    current_x, current_y = _canvas.coords(object)[0:2] # first point
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x - current_x
+        else:
+            inc = y - current_y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+
+def move_by(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT, lift=False):
+    if y is None:
+        try: x, y = x
+        except: raise Exception, 'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x
+        else:
+            inc = y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+    if lift:
+        _canvas.tag_raise(object)
+
+def writePostscript(filename):
+    "Writes the current canvas to a postscript file."
+    psfile = file(filename, 'w')
+    psfile.write(_canvas.postscript(pageanchor='sw',
+                     y='0.c',
+                     x='0.c'))
+    psfile.close()
+
+ghost_shape = [
+    (0, - 0.5),
+    (0.25, - 0.75),
+    (0.5, - 0.5),
+    (0.75, - 0.75),
+    (0.75, 0.5),
+    (0.5, 0.75),
+    (- 0.5, 0.75),
+    (- 0.75, 0.5),
+    (- 0.75, - 0.75),
+    (- 0.5, - 0.5),
+    (- 0.25, - 0.75)
+  ]
+
+if __name__ == '__main__':
+    begin_graphics()
+    clear_screen()
+    ghost_shape = [(x * 10 + 20, y * 10 + 20) for x, y in ghost_shape]
+    g = polygon(ghost_shape, formatColor(1, 1, 1))
+    move_to(g, (50, 50))
+    circle((150, 150), 20, formatColor(0.7, 0.3, 0.0), endpoints=[15, - 15])
+    sleep(2)
diff --git a/cs188-projects-master/P4 Bayes Nets/graphicsUtils.pyc b/cs188-projects-master/P4 Bayes Nets/graphicsUtils.pyc
new file mode 100644
index 0000000..5e21fd2
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/graphicsUtils.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/hunters.py b/cs188-projects-master/P4 Bayes Nets/hunters.py
new file mode 100644
index 0000000..9f695ab
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/hunters.py	
@@ -0,0 +1,558 @@
+# hunters.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Busters.py is a vengeful variant of Pacman where Pacman hunts ghosts, but
+cannot see them.  Numbers at the bottom of the display are noisy distance
+readings to each remaining ghost.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from game import Configuration
+from game import Grid
+from util import nearestPoint
+from util import manhattanDistance
+import sys, util, types, time, random, layout, os
+
+WALL_STRING = '%'
+RED_WALL_STRING = 'R'
+BLUE_WALL_STRING = 'B'
+EMPTY_SQUARE_STRING = ' '
+
+GHOST_COLLISION_REWARD = -500
+WON_GAME_REWARD = 500
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def generateSuccessor( self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+
+        # Pacman observes neighboring squares
+        state.getObservation()
+
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def generatePacmanSuccessor( self, action ):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return self.data.score
+
+    def isLose( self ):
+        return self.data._lose
+
+    def isWin( self ):
+        return self.data._win
+
+    ################################
+    # Additions for Hunters Pacman #
+    ################################
+
+    def getObservation(self):
+        x, y = self.getPacmanPosition()
+        adjacent = [(x-1, y), (x+1, y), (x, y-1), (x, y+1)]
+        for x, y in adjacent:
+            self.data.observedPositions[x][y] = True
+        return { (x, y) : self.squareInfo(x, y) for x, y in adjacent }
+
+    def squareInfo(self, x, y):
+        if self.hasWall(x, y):
+            return WALL_STRING
+        elif self.data.layout.redWalls[x][y]:
+            return RED_WALL_STRING
+        elif self.data.layout.blueWalls[x][y]:
+            return BLUE_WALL_STRING
+        else:
+            return EMPTY_SQUARE_STRING
+
+    def getObservedPositions(self):
+        return self.data.observedPositions
+
+    def getHouseWalls(self, house):
+        return layout.buildHouseAroundCenter(*house)
+
+    def getPossibleHouses(self):
+        return layout.pickPossibleLocations(self.data.layout.width, self.data.layout.height)
+
+    def getEvidence(self):
+        evidence = {}
+        possible = {w for h in self.getPossibleHouses() for w in self.getHouseWalls(h)}
+        for pos in self.getObservedPositions().asList():
+            if pos in possible:
+                evidence[pos] = self.squareInfo(*pos)
+        return evidence
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None:
+            self.data = GameStateData(prevState.data)
+            self.numMoves = prevState.numMoves
+            self.maxMoves = prevState.maxMoves
+        else: # Initial state
+            self.data = GameStateData()
+            self.numMoves = 0
+            self.maxMoves = -1
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( str( self ) )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise "Pacman's index passed to getGhostPosition"
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0:
+            raise "Pacman's index passed to getGhostPosition"
+        return self.data.agentStates[agentIndex]
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class HuntersGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, maxMoves= -1 ):
+        agents = [pacmanAgent] + ghostAgents
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents) )
+        game = Game(agents, display, self)
+        game.state = initState
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        print "Pacman found the food! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        print "Uh oh, You found the Princess! Wraaaang she's in another house go away. Score: %d" % state.data.score
+        game.gameOver = True
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls, state.data.layout.redWalls, state.data.layout.blueWalls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, 1 )
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint( next )
+        if manhattanDistance( nearest, next ) <= 0.5 :
+            # Remove food
+            PacmanRules.consume( nearest, state )
+
+    applyAction = staticmethod( applyAction )
+
+    def consume( position, state ):
+        x,y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += WON_GAME_REWARD
+                state.data._win = True
+
+    consume = staticmethod( consume )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    def applyAction( state, action, ghostIndex):
+        if action != Directions.STOP:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        vector = Actions.directionToVector( action, 1 )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        state.data.scoreChange += GHOST_COLLISION_REWARD
+        state.data._lose = True
+
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod( placeGhost )
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python busters.py 
+    EXAMPLE:    python busters.py --layout bigHunt
+                  - starts an interactive game on a big board
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='treasureHunt')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma seperated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='StationaryGhostAgent')
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=1)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-d', '--displayGhosts', action='store_true', dest='displayGhosts',
+                      help='Renders the ghosts in the display (cheating)', default=False)
+    parser.add_option('-t', '--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-r', '--randomBoard', action='store_true', dest='randomBoard',
+                      help='Generates some random board', default=False)
+    parser.add_option('-v', '--vpiBoard', action='store_true', dest='vpiBoard',
+                      help='Generates a special board for the VPI sub-problem',
+                      default=False)
+    parser.add_option('-s', '--seed', type='str', dest='seed',
+                      help=default('Generates a random board using the specified seed'), default=None)
+
+    options, otherjunk = parser.parse_args()
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + otherjunk)
+    args = dict()
+
+    if options.randomBoard or options.seed:
+        # options.seed defaults to None which uses system time
+        args['layout'] = layout.Layout(options.seed)
+    elif options.vpiBoard:
+        args['layout'] = layout.Layout(options.seed, vpi=True)
+    else:
+        # Choose a layout
+        args['layout'] = layout.getLayout( options.layout )
+        if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, options.quietGraphics)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a Pacman agent
+    noKeyboard = options.quietGraphics
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    # agentOpts['ghostAgents'] = args['ghosts']
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    import graphicsDisplay
+    args['display'] = graphicsDisplay.FirstPersonPacmanGraphics(options.zoom, options.displayGhosts, frameTime = options.frameTime, hunters=True)
+    args['numGames'] = options.numGames
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def runGames( layout, pacman, ghosts, display, numGames, maxMoves=-1):
+    # Hack for agents writing to the display
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = HuntersGameRules()
+    games = []
+
+    for i in range( numGames ):
+        game = rules.newGame( layout, pacman, ghosts, display, maxMoves )
+        game.run()
+        games.append(game)
+
+    if numGames > 1:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print 'Average Score:', sum(scores) / float(len(scores))
+        print 'Scores:       ', ', '.join([str(score) for score in scores])
+        print 'Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate)
+        print 'Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins])
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
diff --git a/cs188-projects-master/P4 Bayes Nets/hunters.pyc b/cs188-projects-master/P4 Bayes Nets/hunters.pyc
new file mode 100644
index 0000000..7672e2b
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/hunters.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/inference.py b/cs188-projects-master/P4 Bayes Nets/inference.py
new file mode 100644
index 0000000..51640ea
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/inference.py	
@@ -0,0 +1,219 @@
+# inference.py
+# ------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import random
+import util
+from bayesNet import Factor
+from factorOperations import joinFactorsByVariableWithCallTracking, joinFactors
+from factorOperations import eliminateWithCallTracking, normalize
+
+def inferenceByEnumeration(bayesNet, queryVariables, evidenceDict):
+    """
+    An inference by enumeration implementation provided as reference.
+    This function performs a probabilistic inference query that
+    returns the factor:
+
+    P(queryVariables | evidenceDict)
+
+    bayesNet:       The Bayes Net on which we are making a query.
+    queryVariables: A list of the variables which are unconditioned in
+                    the inference query.
+    evidenceDict:   An assignment dict {variable : value} for the
+                    variables which are presented as evidence
+                    (conditioned) in the inference query. 
+    """
+    callTrackingList = []
+    joinFactorsByVariable = joinFactorsByVariableWithCallTracking(callTrackingList)
+    eliminate = eliminateWithCallTracking(callTrackingList)
+
+    # initialize return variables and the variables to eliminate
+    evidenceVariablesSet = set(evidenceDict.keys())
+    queryVariablesSet = set(queryVariables)
+    eliminationVariables = (bayesNet.variablesSet() - evidenceVariablesSet) - queryVariablesSet
+
+    # grab all factors where we know the evidence variables (to reduce the size of the tables)
+    currentFactorsList = bayesNet.getAllCPTsWithEvidence(evidenceDict)
+
+    # join all factors by variable
+    for joinVariable in bayesNet.variablesSet():
+        currentFactorsList, joinedFactor = joinFactorsByVariable(currentFactorsList, joinVariable)
+        currentFactorsList.append(joinedFactor)
+
+    # currentFactorsList should contain the connected components of the graph now as factors, must join the connected components
+    fullJoint = joinFactors(currentFactorsList)
+
+    # marginalize all variables that aren't query or evidence
+    incrementallyMarginalizedJoint = fullJoint
+    for eliminationVariable in eliminationVariables:
+        incrementallyMarginalizedJoint = eliminate(incrementallyMarginalizedJoint, eliminationVariable)
+
+    fullJointOverQueryAndEvidence = incrementallyMarginalizedJoint
+
+    # normalize so that the probability sums to one
+    # the input factor contains only the query variables and the evidence variables, 
+    # both as unconditioned variables
+    queryConditionedOnEvidence = normalize(fullJointOverQueryAndEvidence)
+    # now the factor is conditioned on the evidence variables
+
+    # the order is join on all variables, then eliminate on all elimination variables
+    #print "callTrackingList: ", callTrackingList
+    return queryConditionedOnEvidence
+
+def inferenceByVariableEliminationWithCallTracking(callTrackingList=None):
+
+    def inferenceByVariableElimination(bayesNet, queryVariables, evidenceDict, eliminationOrder):
+        """
+        Question 6: Your inference by variable elimination implementation
+
+        This function should perform a probabilistic inference query that
+        returns the factor:
+
+        P(queryVariables | evidenceDict)
+
+        It should perform inference by interleaving joining on a variable
+        and eliminating that variable, in the order of variables according
+        to eliminationOrder.  See inferenceByEnumeration for an example on
+        how to use these functions.
+
+        You need to use joinFactorsByVariable to join all of the factors 
+        that contain a variable in order for the autograder to 
+        recognize that you performed the correct interleaving of 
+        joins and eliminates.
+
+        If a factor that you are about to eliminate a variable from has 
+        only one unconditioned variable, you should not eliminate it 
+        and instead just discard the factor.  This is since the 
+        result of the eliminate would be 1 (you marginalize 
+        all of the unconditioned variables), but it is not a 
+        valid factor.  So this simplifies using the result of eliminate.
+
+        The sum of the probabilities should sum to one (so that it is a true 
+        conditional probability, conditioned on the evidence).
+
+        bayesNet:         The Bayes Net on which we are making a query.
+        queryVariables:   A list of the variables which are unconditioned
+                          in the inference query.
+        evidenceDict:     An assignment dict {variable : value} for the
+                          variables which are presented as evidence
+                          (conditioned) in the inference query. 
+        eliminationOrder: The order to eliminate the variables in.
+
+        Hint: BayesNet.getAllCPTsWithEvidence will return all the Conditional 
+        Probability Tables even if an empty dict (or None) is passed in for 
+        evidenceDict. In this case it will not specialize any variable domains 
+        in the CPTs.
+
+        Useful functions:
+        BayesNet.getAllCPTsWithEvidence
+        normalize
+        eliminate
+        joinFactorsByVariable
+        joinFactors
+        """
+
+        # this is for autograding -- don't modify
+        joinFactorsByVariable = joinFactorsByVariableWithCallTracking(callTrackingList)
+        eliminate             = eliminateWithCallTracking(callTrackingList)
+        if eliminationOrder is None: # set an arbitrary elimination order if None given
+            eliminationVariables = bayesNet.variablesSet() - set(queryVariables) -\
+                                   set(evidenceDict.keys())
+            eliminationOrder = sorted(list(eliminationVariables))
+
+        "*** YOUR CODE HERE ***"
+        factors = bayesNet.getAllCPTsWithEvidence(evidenceDict)
+        for var in eliminationOrder:
+            factors, new_factor = joinFactorsByVariable(factors, var)
+            if len(new_factor.unconditionedVariables()) > 1:
+                temp_factor = eliminate(new_factor, var)
+                factors.append(temp_factor)
+        final_factor = joinFactors(factors)
+        return normalize(final_factor)
+
+    return inferenceByVariableElimination
+
+inferenceByVariableElimination = inferenceByVariableEliminationWithCallTracking()
+
+def sampleFromFactorRandomSource(randomSource=None):
+    if randomSource is None:
+        randomSource = random.Random()
+
+    def sampleFromFactor(factor, conditionedAssignments=None):
+        """
+        Sample an assignment for unconditioned variables in factor with
+        probability equal to the probability in the row of factor
+        corresponding to that assignment.
+
+        factor:                 The factor to sample from.
+        conditionedAssignments: A dict of assignments for all conditioned
+                                variables in the factor.  Can only be None
+                                if there are no conditioned variables in
+                                factor, otherwise must be nonzero.
+
+        Useful for inferenceByLikelihoodWeightingSampling
+
+        Returns an assignmentDict that contains the conditionedAssignments but 
+        also a random assignment of the unconditioned variables given their 
+        probability.
+        """
+        if conditionedAssignments is None and len(factor.conditionedVariables()) > 0:
+            raise ValueError, ("Conditioned assignments must be provided since \n" +
+                            "this factor has conditionedVariables: " + "\n" +
+                            str(factor.conditionedVariables()))
+
+        elif conditionedAssignments is not None:
+            conditionedVariables = set([var for var in conditionedAssignments.keys()])
+
+            if not conditionedVariables.issuperset(set(factor.conditionedVariables())):
+                raise ValueError, ("Factor's conditioned variables need to be a subset of the \n"
+                                    + "conditioned assignments passed in. \n" + \
+                                "conditionedVariables: " + str(conditionedVariables) + "\n" +
+                                "factor.conditionedVariables: " + str(set(factor.conditionedVariables())))
+
+            # Reduce the domains of the variables that have been
+            # conditioned upon for this factor 
+            newVariableDomainsDict = factor.variableDomainsDict()
+            for (var, assignment) in conditionedAssignments.items():
+                newVariableDomainsDict[var] = [assignment]
+
+            # Get the (hopefully) smaller conditional probability table
+            # for this variable 
+            CPT = factor.specializeVariableDomains(newVariableDomainsDict)
+        else:
+            CPT = factor
+        
+        # Get the probability of each row of the table (along with the
+        # assignmentDict that it corresponds to)
+        assignmentDicts = sorted([assignmentDict for assignmentDict in CPT.getAllPossibleAssignmentDicts()])
+        assignmentDictProbabilities = [CPT.getProbability(assignmentDict) for assignmentDict in assignmentDicts]
+
+        # calculate total probability in the factor and index each row by the 
+        # cumulative sum of probability up to and including that row
+        currentProbability = 0.0
+        probabilityRange = []
+        for i in range(len(assignmentDicts)):
+            currentProbability += assignmentDictProbabilities[i]
+            probabilityRange.append(currentProbability)
+
+        totalProbability = probabilityRange[-1]
+
+        # sample an assignment with probability equal to the probability in the row 
+        # for that assignment in the factor
+        pick = randomSource.uniform(0.0, totalProbability)
+        for i in range(len(assignmentDicts)):
+            if pick <= probabilityRange[i]:
+                return assignmentDicts[i]
+
+    return sampleFromFactor
+
+sampleFromFactor = sampleFromFactorRandomSource()
diff --git a/cs188-projects-master/P4 Bayes Nets/inference.pyc b/cs188-projects-master/P4 Bayes Nets/inference.pyc
new file mode 100644
index 0000000..f8e5871
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/inference.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/keyboardAgents.py b/cs188-projects-master/P4 Bayes Nets/keyboardAgents.py
new file mode 100644
index 0000000..725eb8d
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/keyboardAgents.py	
@@ -0,0 +1,102 @@
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+import random
+
+class KeyboardAgent(Agent):
+    """
+    An agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'a'
+    EAST_KEY  = 'd'
+    NORTH_KEY = 'w'
+    SOUTH_KEY = 's'
+    BLAST_KEY = 'b'
+    LASER_KEY = 'n'
+    STOP_KEY = 'q'
+
+    def __init__( self, index = 0 ):
+
+        self.lastMove = Directions.STOP
+        self.index = index
+        self.keys = []
+
+    def getAction( self, state):
+        from graphicsUtils import keys_waiting
+        from graphicsUtils import keys_pressed
+        keys = keys_waiting() + keys_pressed()
+        if keys != []:
+            self.keys = keys
+
+        legal = state.getLegalActions(self.index)
+        move = self.getMove(legal)
+
+        if move == Directions.STOP:
+            # Try to move in the same direction as before
+            if self.lastMove in legal:
+                move = self.lastMove
+
+        if (self.STOP_KEY in self.keys) and Directions.STOP in legal: move = Directions.STOP
+
+        if move not in legal:
+            move = random.choice(legal)
+
+        self.lastMove = move
+        return move
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys or 'Left' in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys or 'Right' in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys or 'Up' in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys or 'Down' in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        if   self.BLAST_KEY in self.keys and Directions.BLAST in legal: move = Directions.BLAST
+        if   self.LASER_KEY in self.keys and Directions.LASER in legal: move = Directions.LASER
+        return move
+
+class KeyboardAgent2(KeyboardAgent):
+    """
+    A second agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'j'
+    EAST_KEY  = "l"
+    NORTH_KEY = 'i'
+    SOUTH_KEY = 'k'
+    STOP_KEY = 'u'
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
diff --git a/cs188-projects-master/P4 Bayes Nets/keyboardAgents.pyc b/cs188-projects-master/P4 Bayes Nets/keyboardAgents.pyc
new file mode 100644
index 0000000..781cc64
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/keyboardAgents.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/layout.py b/cs188-projects-master/P4 Bayes Nets/layout.py
new file mode 100644
index 0000000..74a62b5
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/layout.py	
@@ -0,0 +1,269 @@
+# layout.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import util
+from util import manhattanDistance
+from game import Grid
+# from capsule import DefaultCapsule
+import os
+import random
+import itertools
+
+VISIBILITY_MATRIX_CACHE = {}
+
+PROB_FOOD_LEFT = 0.4
+PROB_LEFT_TOP = 0.6
+PROB_OPPOSITE_CORNERS = 0.7
+PROB_FOOD_RED = 0.3
+PROB_GHOST_RED = 0.6
+
+PROB_BOTH_TOP = PROB_LEFT_TOP * (1 - PROB_OPPOSITE_CORNERS)
+PROB_BOTH_BOTTOM = (1 - PROB_LEFT_TOP) * (1 - PROB_OPPOSITE_CORNERS)
+PROB_ONLY_LEFT_TOP = PROB_LEFT_TOP * PROB_OPPOSITE_CORNERS
+PROB_ONLY_LEFT_BOTTOM = (1 - PROB_LEFT_TOP) * PROB_OPPOSITE_CORNERS
+
+class Layout:
+    """
+    A Layout manages the static information about the game board.
+    """
+
+    def __init__(self, layoutText=None, seed=None, width=None, height=None, vpi=False):
+        if layoutText:
+            self.width = len(layoutText[0])
+            self.height= len(layoutText)
+            self.walls = Grid(self.width, self.height, False)
+            self.redWalls = Grid(self.width, self.height, False)
+            self.blueWalls = Grid(self.width, self.height, False)
+            self.food = Grid(self.width, self.height, False)
+            self.capsules = []
+            self.agentPositions = []
+            self.numGhosts = 0
+            self.processLayoutText(layoutText)
+            self.layoutText = layoutText
+            self.totalFood = len(self.food.asList())
+        elif vpi:
+            layoutText = generateVPIHuntersBoard(seed)
+            self.__init__(layoutText)
+        else:
+            layoutText = generateRandomHuntersBoard(seed, width, height)
+            self.__init__(layoutText)
+
+    def getNumGhosts(self):
+        return self.numGhosts
+
+    def initializeVisibilityMatrix(self):
+        global VISIBILITY_MATRIX_CACHE
+        if reduce(str.__add__, self.layoutText) not in VISIBILITY_MATRIX_CACHE:
+            from game import Directions
+            vecs = [(-0.5,0), (0.5,0),(0,-0.5),(0,0.5)]
+            dirs = [Directions.NORTH, Directions.SOUTH, Directions.WEST, Directions.EAST]
+            vis = Grid(self.width, self.height, {Directions.NORTH:set(), Directions.SOUTH:set(), Directions.EAST:set(), Directions.WEST:set(), Directions.STOP:set()})
+            for x in range(self.width):
+                for y in range(self.height):
+                    if self.walls[x][y] == False:
+                        for vec, direction in zip(vecs, dirs):
+                            dx, dy = vec
+                            nextx, nexty = x + dx, y + dy
+                            while (nextx + nexty) != int(nextx) + int(nexty) or not self.walls[int(nextx)][int(nexty)] :
+                                vis[x][y][direction].add((nextx, nexty))
+                                nextx, nexty = x + dx, y + dy
+            self.visibility = vis
+            VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)] = vis
+        else:
+            self.visibility = VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)]
+
+    def isWall(self, pos):
+        x, col = pos
+        return self.walls[x][col]
+
+    def getRandomLegalPosition(self):
+        x = random.choice(range(self.width))
+        y = random.choice(range(self.height))
+        while self.isWall( (x, y) ):
+            x = random.choice(range(self.width))
+            y = random.choice(range(self.height))
+        return (x,y)
+
+    def getRandomCorner(self):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        return random.choice(poses)
+
+    def getFurthestCorner(self, pacPos):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        dist, pos = max([(manhattanDistance(p, pacPos), p) for p in poses])
+        return pos
+
+    def isVisibleFrom(self, ghostPos, pacPos, pacDirection):
+        row, col = [int(x) for x in pacPos]
+        return ghostPos in self.visibility[row][col][pacDirection]
+
+    def __str__(self):
+        return "\n".join(self.layoutText)
+
+    def deepCopy(self):
+        return Layout(self.layoutText[:])
+
+    def processLayoutText(self, layoutText):
+        """
+        Coordinates are flipped from the input format to the (x,y) convention here
+
+        The shape of the maze.  Each character
+        represents a different type of object.
+         % - Wall
+         . - Food
+         o - Capsule
+         G - Ghost
+         P - Pacman
+         B - Blue Wall
+         R - Red Wall
+        Other characters are ignored.
+        """
+        maxY = self.height - 1
+        for y in range(self.height):
+            for x in range(self.width):
+                layoutChar = layoutText[maxY - y][x]
+                self.processLayoutChar(x, y, layoutChar)
+        self.agentPositions.sort()
+        self.agentPositions = [ ( i == 0, pos) for i, pos in self.agentPositions]
+
+    def processLayoutChar(self, x, y, layoutChar):
+        if layoutChar == '%':
+            self.walls[x][y] = True
+        elif layoutChar == 'B':
+            self.blueWalls[x][y] = True
+        elif layoutChar == 'R':
+            self.redWalls[x][y] = True
+        elif layoutChar == '.':
+            self.food[x][y] = True
+        elif layoutChar == 'o':
+            self.capsules.append(DefaultCapsule(x, y))
+        elif layoutChar == 'P':
+            self.agentPositions.append( (0, (x, y) ) )
+        elif layoutChar in ['G']:
+            self.agentPositions.append( (1, (x, y) ) )
+            self.numGhosts += 1
+        elif layoutChar in  ['1', '2', '3', '4']:
+            self.agentPositions.append( (int(layoutChar), (x,y)))
+            self.numGhosts += 1
+            
+def getLayout(name, back = 2):
+    if name.endswith('.lay'):
+        layout = tryToLoad('layouts/' + name)
+        if layout == None: layout = tryToLoad(name)
+    else:
+        layout = tryToLoad('layouts/' + name + '.lay')
+        if layout == None: layout = tryToLoad(name + '.lay')
+    if layout == None and back >= 0:
+        curdir = os.path.abspath('.')
+        os.chdir('..')
+        layout = getLayout(name, back -1)
+        os.chdir(curdir)
+    return layout
+
+def tryToLoad(fullname):
+    if(not os.path.exists(fullname)): return None
+    f = open(fullname)
+    try: return Layout([line.strip() for line in f])
+    finally: f.close()
+
+def generateVPIHuntersBoard(seed=None):
+    width = 11
+    height = 11
+    foodHouseLeft = util.flipCoin(PROB_FOOD_LEFT)
+
+    layoutTextGrid = [[' ' for _ in xrange(width)] for _ in xrange(height)]
+    layoutTextGrid[0] = ['%' for _ in xrange(width)]
+    layoutTextGrid[-1] = layoutTextGrid[0][:]
+    for i in xrange(height):
+        layoutTextGrid[i][0] = layoutTextGrid[i][-1] = '%'
+    possibleLocations = pickPossibleLocations(width, height)
+    # (foodX, foodY), (ghostX, ghostY) = tuple(random.sample(possibleLocations, 2))
+
+    bottomLeft, topLeft, bottomRight, topRight = tuple(possibleLocations)
+
+    foodX, foodY = topLeft
+    ghostX, ghostY = topRight
+    if not util.flipCoin(PROB_FOOD_LEFT):
+        (foodX, foodY), (ghostX, ghostY) = (ghostX, ghostY), (foodX, foodY)
+
+    layoutTextGrid[-foodY-1][foodX] = '.'
+    layoutTextGrid[-ghostY-1][ghostX] = 'G'
+    for foodWallX, foodWallY in buildHouseAroundCenter(foodX, foodY):
+        if util.flipCoin(PROB_FOOD_RED):
+            layoutTextGrid[-foodWallY-1][foodWallX] = 'R'
+        else:
+            layoutTextGrid[-foodWallY-1][foodWallX] = 'B'
+    for ghostWallX, ghostWallY in buildHouseAroundCenter(ghostX, ghostY):
+        if util.flipCoin(PROB_GHOST_RED):
+            layoutTextGrid[-ghostWallY-1][ghostWallX] = 'R'
+        else:
+            layoutTextGrid[-ghostWallY-1][ghostWallX] = 'B'
+    layoutTextGrid[5][5] = 'P'
+    layoutTextRowList = [''.join(row) for row in layoutTextGrid]
+    return layoutTextRowList
+
+def generateRandomHuntersBoard(seed=None, width=None, height=None):
+    """Note that this is constructing a string, so indexing is [-y-1][x] rather than [x][y]"""
+    random.seed(seed)
+
+    leftHouseTop  = util.flipCoin(PROB_LEFT_TOP)
+
+    if not width or not height:
+        width = random.randrange(11, 20, 4)
+        height = random.randrange(11, 16, 4)
+    layoutTextGrid = [[' ' for _ in xrange(width)] for _ in xrange(height)]
+    layoutTextGrid[0] = ['%' for _ in xrange(width)]
+    layoutTextGrid[-1] = layoutTextGrid[0][:]
+    for i in xrange(height):
+        layoutTextGrid[i][0] = layoutTextGrid[i][-1] = '%'
+    possibleLocations = pickPossibleLocations(width, height)
+    # (foodX, foodY), (ghostX, ghostY) = tuple(random.sample(possibleLocations, 2))
+
+    bottomLeft, topLeft, bottomRight, topRight = tuple(possibleLocations)
+
+    if leftHouseTop:
+        foodX, foodY = topLeft
+        ghostX, ghostY = bottomRight if util.flipCoin(PROB_OPPOSITE_CORNERS) else topRight
+    else:
+        foodX, foodY = bottomLeft
+        ghostX, ghostY = topRight if util.flipCoin(PROB_OPPOSITE_CORNERS) else bottomRight
+    if not util.flipCoin(PROB_FOOD_LEFT):
+        (foodX, foodY), (ghostX, ghostY) = (ghostX, ghostY), (foodX, foodY)
+
+    layoutTextGrid[-foodY-1][foodX] = '.'
+    layoutTextGrid[-ghostY-1][ghostX] = 'G'
+    for foodWallX, foodWallY in buildHouseAroundCenter(foodX, foodY):
+        if util.flipCoin(PROB_FOOD_RED):
+            layoutTextGrid[-foodWallY-1][foodWallX] = 'R'
+        else:
+            layoutTextGrid[-foodWallY-1][foodWallX] = 'B'
+    for ghostWallX, ghostWallY in buildHouseAroundCenter(ghostX, ghostY):
+        if util.flipCoin(PROB_GHOST_RED):
+            layoutTextGrid[-ghostWallY-1][ghostWallX] = 'R'
+        else:
+            layoutTextGrid[-ghostWallY-1][ghostWallX] = 'B'
+    layoutTextGrid[-2][1] = 'P'
+    layoutTextRowList = [''.join(row) for row in layoutTextGrid]
+    return layoutTextRowList
+
+def pickPossibleLocations(width, height):
+    # return list(itertools.product(range(3, width - 3, 4), range(3, height - 3, 4)))
+    return [(3, 3), (3, height - 4), (width - 4, 3), (width - 4, height - 4)]
+
+def buildHouseAroundCenter(x, y):
+    return set(itertools.product([x-1, x, x+1], [y-1, y, y+1])) - {(x, y), (x, y-1)}
+
+if __name__ == '__main__':
+    lay = Layout(generateVPIHuntersBoard())
+    print lay
diff --git a/cs188-projects-master/P4 Bayes Nets/layout.pyc b/cs188-projects-master/P4 Bayes Nets/layout.pyc
new file mode 100644
index 0000000..a24129c
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/layout.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/layouts/bigHunt.lay b/cs188-projects-master/P4 Bayes Nets/layouts/bigHunt.lay
new file mode 100644
index 0000000..48ccd0c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/layouts/bigHunt.lay	
@@ -0,0 +1,20 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%P                        %
+% %%%%%%%%%%%%        %%% %
+%                 %%      %
+%                 %%      %
+%          %         %    %
+% %%%%%%   %%% %%    %  %G%
+%                    %%%%%%
+% %%%%%%    %        %    %
+% %    %    %             %
+% %  G %    %  %%%%%%%%   %
+% %    %    %             %
+% %    %    %  %%%%%%%%   %
+%           %    G        %
+%     %%    %  %%    %%   %
+%     %%    %             %
+%          G%             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P4 Bayes Nets/layouts/oneHunt.lay b/cs188-projects-master/P4 Bayes Nets/layouts/oneHunt.lay
new file mode 100644
index 0000000..45291a9
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/layouts/oneHunt.lay	
@@ -0,0 +1,16 @@
+%%%%%%%%%%%%%%%%%%%%
+%                  %
+%                  %
+%    G       G     %
+%                  %
+%           P      %
+%                  %
+%                  %
+%                  %
+%    G       G     %
+%                  %
+%                  %
+%                  %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P4 Bayes Nets/layouts/openHunt.lay b/cs188-projects-master/P4 Bayes Nets/layouts/openHunt.lay
new file mode 100644
index 0000000..45d3388
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/layouts/openHunt.lay	
@@ -0,0 +1,13 @@
+%%%%%%%%%%%%%%%%%%%%
+%P      G          %
+% %%%  %%%  %% %%% %
+%     G            %
+%          %       %
+%          %       %
+% %%%%%%   %%%G%%% %
+%     G            %
+%           %      %
+%           %      %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P4 Bayes Nets/layouts/smallHunt.lay b/cs188-projects-master/P4 Bayes Nets/layouts/smallHunt.lay
new file mode 100644
index 0000000..ef9059a
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/layouts/smallHunt.lay	
@@ -0,0 +1,8 @@
+%%%%%%%%%%%%%%%%%%%%
+%P      G       G  %
+% %%%%% %%%%%% % % %
+%     G            %
+%          G       %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P4 Bayes Nets/longBottomBoard.lay b/cs188-projects-master/P4 Bayes Nets/longBottomBoard.lay
new file mode 100644
index 0000000..7ae03c2
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/longBottomBoard.lay	
@@ -0,0 +1,15 @@
+%%%%%%%%%%%
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+% RBR BBR %
+% R.B BGB %
+% B B R R %
+%P        %
+%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P4 Bayes Nets/pacmanAgents.py b/cs188-projects-master/P4 Bayes Nets/pacmanAgents.py
new file mode 100644
index 0000000..e1007cf
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/pacmanAgents.py	
@@ -0,0 +1,52 @@
+# pacmanAgents.py
+# ---------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from pacman import Directions
+from game import Agent
+import random
+import game
+import util
+
+class LeftTurnAgent(game.Agent):
+    "An agent that turns left at every opportunity"
+
+    def getAction(self, state):
+        legal = state.getLegalPacmanActions()
+        current = state.getPacmanState().configuration.direction
+        if current == Directions.STOP: current = Directions.NORTH
+        left = Directions.LEFT[current]
+        if left in legal: return left
+        if current in legal: return current
+        if Directions.RIGHT[current] in legal: return Directions.RIGHT[current]
+        if Directions.LEFT[left] in legal: return Directions.LEFT[left]
+        return Directions.STOP
+
+class GreedyAgent(Agent):
+    def __init__(self, evalFn="scoreEvaluation"):
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        assert self.evaluationFunction != None
+
+    def getAction(self, state):
+        # Generate candidate actions
+        legal = state.getLegalPacmanActions()
+        if Directions.STOP in legal: legal.remove(Directions.STOP)
+
+        successors = [(state.generateSuccessor(action), action) for action in legal]
+        scored = [(self.evaluationFunction(state), action) for state, action in successors]
+        bestScore = max(scored)[0]
+        bestActions = [pair[1] for pair in scored if pair[0] == bestScore]
+        return random.choice(bestActions)
+
+def scoreEvaluation(state):
+    return state.getScore()
diff --git a/cs188-projects-master/P4 Bayes Nets/projectParams.py b/cs188-projects-master/P4 Bayes Nets/projectParams.py
new file mode 100644
index 0000000..d0e1cfc
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/projectParams.py	
@@ -0,0 +1,18 @@
+# projectParams.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+STUDENT_CODE_DEFAULT = 'factorOperations.py,inference.py,bayesAgents.py'
+PROJECT_TEST_CLASSES = 'bayesNets2TestClasses.py'
+PROJECT_NAME = 'Project 4: Bayes Nets'
+BONUS_PIC = True
diff --git a/cs188-projects-master/P4 Bayes Nets/projectParams.pyc b/cs188-projects-master/P4 Bayes Nets/projectParams.pyc
new file mode 100644
index 0000000..d1f2b46
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/projectParams.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/smallBoard.lay b/cs188-projects-master/P4 Bayes Nets/smallBoard.lay
new file mode 100644
index 0000000..537ed54
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/smallBoard.lay	
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%
+%             %
+% RBB         %
+% BGB         %
+% B R         %
+%             %
+%         RBR %
+%         B.R %
+%         B R %
+%P            %
+%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P4 Bayes Nets/testClasses.py b/cs188-projects-master/P4 Bayes Nets/testClasses.py
new file mode 100644
index 0000000..6f95533
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/testClasses.py	
@@ -0,0 +1,206 @@
+# testClasses.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# import modules from python standard library
+import inspect
+import re
+import sys
+
+
+# Class which models a question in a project.  Note that questions have a
+# maximum number of points they are worth, and are composed of a series of
+# test cases
+class Question(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def __init__(self, questionDict, display):
+        self.maxPoints = int(questionDict['max_points'])
+        self.testCases = []
+        self.display = display
+
+    def getDisplay(self):
+        return self.display
+
+    def getMaxPoints(self):
+        return self.maxPoints
+
+    # Note that 'thunk' must be a function which accepts a single argument,
+    # namely a 'grading' object
+    def addTestCase(self, testCase, thunk):
+        self.testCases.append((testCase, thunk))
+
+    def execute(self, grades):
+        self.raiseNotDefined()
+
+# Question in which all test cases must be passed in order to receive credit
+class PassAllTestsQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+
+class ExtraCreditPassAllTestsQuestion(Question):
+    def __init__(self, questionDict, display):
+        Question.__init__(self, questionDict, display)
+        self.extraPoints = int(questionDict['extra_points'])
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+            grades.addPoints(self.extraPoints)
+
+# Question in which predict credit is given for test cases with a ``points'' property.
+# All other tests are mandatory and must be passed.
+class HackedPartialCreditQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        grades.assignZeroCredit()
+
+        points = 0
+        passed = True
+        for testCase, f in self.testCases:
+            testResult = f(grades)
+            if "points" in testCase.testDict:
+                if testResult: points += float(testCase.testDict["points"])
+            else:
+                passed = passed and testResult
+
+        ## FIXME: Below terrible hack to match q3's logic
+        if int(points) == self.maxPoints and not passed:
+            grades.assignZeroCredit()
+        else:
+            grades.addPoints(int(points))
+
+
+class Q6PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        results = []
+        for _, f in self.testCases:
+            results.append(f(grades))
+        if False in results:
+            grades.assignZeroCredit()
+
+class PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        for _, f in self.testCases:
+            if not f(grades):
+                grades.assignZeroCredit()
+                grades.fail("Tests failed.")
+                return False
+
+
+
+class NumberPassedQuestion(Question):
+    """Grade is the number of test cases passed."""
+
+    def execute(self, grades):
+        grades.addPoints([f(grades) for _, f in self.testCases].count(True))
+
+
+
+
+
+# Template modeling a generic test case
+class TestCase(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def getPath(self):
+        return self.path
+
+    def __init__(self, question, testDict):
+        self.question = question
+        self.testDict = testDict
+        self.path = testDict['path']
+        self.messages = []
+
+    def __str__(self):
+        self.raiseNotDefined()
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.raiseNotDefined()
+
+    def writeSolution(self, moduleDict, filePath):
+        self.raiseNotDefined()
+        return True
+
+    # Tests should call the following messages for grading
+    # to ensure a uniform format for test output.
+    #
+    # TODO: this is hairy, but we need to fix grading.py's interface
+    # to get a nice hierarchical project - question - test structure,
+    # then these should be moved into Question proper.
+    def testPass(self, grades):
+        grades.addMessage('PASS: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return True
+
+    def testFail(self, grades):
+        grades.addMessage('FAIL: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return False
+
+    # This should really be question level?
+    #
+    def testPartial(self, grades, points, maxPoints):
+        grades.addPoints(points)
+        extraCredit = max(0, points - maxPoints)
+        regularCredit = points - extraCredit
+
+        grades.addMessage('%s: %s (%s of %s points)' % ("PASS" if points >= maxPoints else "FAIL", self.path, regularCredit, maxPoints))
+        if extraCredit > 0:
+            grades.addMessage('EXTRA CREDIT: %s points' % (extraCredit,))
+
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+
+        return True
+
+    def addMessage(self, message):
+        self.messages.extend(message.split('\n'))
+
diff --git a/cs188-projects-master/P4 Bayes Nets/testClasses.pyc b/cs188-projects-master/P4 Bayes Nets/testClasses.pyc
new file mode 100644
index 0000000..0361a22
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/testClasses.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/testParser.py b/cs188-projects-master/P4 Bayes Nets/testParser.py
new file mode 100644
index 0000000..fbc29d2
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/testParser.py	
@@ -0,0 +1,86 @@
+# testParser.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import sys
+
+class TestParser(object):
+
+    def __init__(self, path):
+        # save the path to the test file
+        self.path = path
+
+    def removeComments(self, rawlines):
+        # remove any portion of a line following a '#' symbol
+        fixed_lines = []
+        for l in rawlines:
+            idx = l.find('#')
+            if idx == -1:
+                fixed_lines.append(l)
+            else:
+                fixed_lines.append(l[0:idx])
+        return '\n'.join(fixed_lines)
+
+    def parse(self):
+        # read in the test case and remove comments
+        test = {}
+        with open(self.path) as handle:
+            raw_lines = handle.read().split('\n')
+
+        test_text = self.removeComments(raw_lines)
+        test['__raw_lines__'] = raw_lines
+        test['path'] = self.path
+        test['__emit__'] = []
+        lines = test_text.split('\n')
+        i = 0
+        # read a property in each loop cycle
+        while(i < len(lines)):
+            # skip blank lines
+            if re.match('\A\s*\Z', lines[i]):
+                test['__emit__'].append(("raw", raw_lines[i]))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"([^"]*)"\s*\Z', lines[i])
+            if m:
+                test[m.group(1)] = m.group(2)
+                test['__emit__'].append(("oneline", m.group(1)))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"""\s*\Z', lines[i])
+            if m:
+                msg = []
+                i += 1
+                while(not re.match('\A\s*"""\s*\Z', lines[i])):
+                    msg.append(raw_lines[i])
+                    i += 1
+                test[m.group(1)] = '\n'.join(msg)
+                test['__emit__'].append(("multiline", m.group(1)))
+                i += 1
+                continue
+            import pdb; pdb.set_trace()
+            print 'error parsing test file: %s' % self.path
+            sys.exit(1)
+        return test
+
+
+def emitTestDict(testDict, handle):
+    for kind, data in testDict['__emit__']:
+        if kind == "raw":
+            handle.write(data + "\n")
+        elif kind == "oneline":
+            handle.write('%s: "%s"\n' % (data, testDict[data]))
+        elif kind == "multiline":
+            handle.write('%s: """\n%s\n"""\n' % (data, testDict[data]))
+        else:
+            raise Exception("Bad __emit__")
diff --git a/cs188-projects-master/P4 Bayes Nets/testParser.pyc b/cs188-projects-master/P4 Bayes Nets/testParser.pyc
new file mode 100644
index 0000000..e6ad530
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/testParser.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/CONFIG
new file mode 100644
index 0000000..1ab818e
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/CONFIG	
@@ -0,0 +1 @@
+order: "q1 q2 q3 q4 q5 q6 q7 q8"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q1/1-small-board.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/1-small-board.solution
new file mode 100644
index 0000000..30fe9ee
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/1-small-board.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q1/1-small-board.test.
+
+solutionString: """
+Variables: obs(4,2), obs(12,3), obs(2,2), obs(10,2), obs(12,7), obs(10,4), obs(2,4), foodHouse, obs(2,7), ghostHouse, obs(10,6), obs(4,8), obs(3,4), obs(4,6), obs(4,4), obs(4,3), obs(11,8), obs(10,8), obs(12,2), obs(10,3), obs(3,8), obs(12,6), obs(2,3), obs(10,7), obs(12,4), xPos, obs(2,6), obs(2,8), yPos, obs(12,8), obs(4,7), obs(11,4)
+Edges: foodHouse -> obs(4,2), ghostHouse -> obs(4,2), foodHouse -> obs(12,3), ghostHouse -> obs(12,3), foodHouse -> obs(2,2), ghostHouse -> obs(2,2), foodHouse -> obs(10,2), ghostHouse -> obs(10,2), foodHouse -> obs(12,7), ghostHouse -> obs(12,7), foodHouse -> obs(10,4), ghostHouse -> obs(10,4), foodHouse -> obs(2,4), ghostHouse -> obs(2,4), xPos -> foodHouse, yPos -> foodHouse, foodHouse -> obs(2,7), ghostHouse -> obs(2,7), xPos -> ghostHouse, yPos -> ghostHouse, foodHouse -> obs(10,6), ghostHouse -> obs(10,6), foodHouse -> obs(4,8), ghostHouse -> obs(4,8), foodHouse -> obs(3,4), ghostHouse -> obs(3,4), foodHouse -> obs(4,6), ghostHouse -> obs(4,6), foodHouse -> obs(4,4), ghostHouse -> obs(4,4), foodHouse -> obs(4,3), ghostHouse -> obs(4,3), foodHouse -> obs(11,8), ghostHouse -> obs(11,8), foodHouse -> obs(10,8), ghostHouse -> obs(10,8), foodHouse -> obs(12,2), ghostHouse -> obs(12,2), foodHouse -> obs(10,3), ghostHouse -> obs(10,3), foodHouse -> obs(3,8), ghostHouse -> obs(3,8), foodHouse -> obs(12,6), ghostHouse -> obs(12,6), foodHouse -> obs(2,3), ghostHouse -> obs(2,3), foodHouse -> obs(10,7), ghostHouse -> obs(10,7), foodHouse -> obs(12,4), ghostHouse -> obs(12,4), foodHouse -> obs(2,6), ghostHouse -> obs(2,6), foodHouse -> obs(2,8), ghostHouse -> obs(2,8), foodHouse -> obs(12,8), ghostHouse -> obs(12,8), foodHouse -> obs(4,7), ghostHouse -> obs(4,7), foodHouse -> obs(11,4), ghostHouse -> obs(11,4)
+{'obs(4,2)': ['blue', 'red', 'none'], 'obs(12,3)': ['blue', 'red', 'none'], 'obs(2,2)': ['blue', 'red', 'none'], 'obs(10,2)': ['blue', 'red', 'none'], 'obs(12,7)': ['blue', 'red', 'none'], 'obs(10,4)': ['blue', 'red', 'none'], 'obs(10,6)': ['blue', 'red', 'none'], 'foodHouse': ['topLeft', 'topRight', 'bottomLeft', 'bottomRight'], 'obs(2,7)': ['blue', 'red', 'none'], 'ghostHouse': ['topLeft', 'topRight', 'bottomLeft', 'bottomRight'], 'obs(2,4)': ['blue', 'red', 'none'], 'obs(10,8)': ['blue', 'red', 'none'], 'obs(3,4)': ['blue', 'red', 'none'], 'obs(4,6)': ['blue', 'red', 'none'], 'obs(4,4)': ['blue', 'red', 'none'], 'obs(4,3)': ['blue', 'red', 'none'], 'obs(11,8)': ['blue', 'red', 'none'], 'obs(12,2)': ['blue', 'red', 'none'], 'obs(10,3)': ['blue', 'red', 'none'], 'obs(3,8)': ['blue', 'red', 'none'], 'obs(12,6)': ['blue', 'red', 'none'], 'obs(2,3)': ['blue', 'red', 'none'], 'obs(10,7)': ['blue', 'red', 'none'], 'obs(12,4)': ['blue', 'red', 'none'], 'obs(4,8)': ['blue', 'red', 'none'], 'xPos': ['foodLeft', 'ghostLeft'], 'obs(2,6)': ['blue', 'red', 'none'], 'obs(2,8)': ['blue', 'red', 'none'], 'yPos': ['bothTop', 'bothBottom', 'leftTop', 'leftBottom'], 'obs(12,8)': ['blue', 'red', 'none'], 'obs(4,7)': ['blue', 'red', 'none'], 'obs(11,4)': ['blue', 'red', 'none']}
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q1/1-small-board.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/1-small-board.test
new file mode 100644
index 0000000..69b8d38
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/1-small-board.test	
@@ -0,0 +1,17 @@
+class: "GraphEqualityTest"
+
+layoutName: "smallBoard"
+layout: """
+%%%%%%%%%%%%%%%
+%             %
+% RBB         %
+% BGB         %
+% B R         %
+%             %
+%         RBR %
+%         B.R %
+%         B R %
+%P            %
+%%%%%%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q1/2-long-bottom.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/2-long-bottom.solution
new file mode 100644
index 0000000..4f23e39
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/2-long-bottom.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q1/2-long-bottom.test.
+
+solutionString: """
+Variables: obs(8,2), obs(6,3), obs(4,2), obs(7,4), yPos, obs(8,4), obs(2,2), obs(2,4), foodHouse, obs(2,12), obs(6,4), obs(8,11), ghostHouse, obs(6,11), obs(4,11), obs(3,4), obs(4,4), obs(8,3), obs(6,2), obs(4,3), obs(4,10), obs(3,12), obs(2,3), xPos, obs(2,11), obs(6,12), obs(8,10), obs(6,10), obs(8,12), obs(7,12), obs(2,10), obs(4,12)
+Edges: foodHouse -> obs(8,2), ghostHouse -> obs(8,2), foodHouse -> obs(6,3), ghostHouse -> obs(6,3), foodHouse -> obs(4,2), ghostHouse -> obs(4,2), foodHouse -> obs(7,4), ghostHouse -> obs(7,4), foodHouse -> obs(8,4), ghostHouse -> obs(8,4), foodHouse -> obs(2,2), ghostHouse -> obs(2,2), foodHouse -> obs(2,4), ghostHouse -> obs(2,4), xPos -> foodHouse, yPos -> foodHouse, foodHouse -> obs(2,12), ghostHouse -> obs(2,12), foodHouse -> obs(6,4), ghostHouse -> obs(6,4), foodHouse -> obs(8,11), ghostHouse -> obs(8,11), xPos -> ghostHouse, yPos -> ghostHouse, foodHouse -> obs(6,11), ghostHouse -> obs(6,11), foodHouse -> obs(4,11), ghostHouse -> obs(4,11), foodHouse -> obs(3,4), ghostHouse -> obs(3,4), foodHouse -> obs(4,4), ghostHouse -> obs(4,4), foodHouse -> obs(8,3), ghostHouse -> obs(8,3), foodHouse -> obs(6,2), ghostHouse -> obs(6,2), foodHouse -> obs(4,3), ghostHouse -> obs(4,3), foodHouse -> obs(4,10), ghostHouse -> obs(4,10), foodHouse -> obs(3,12), ghostHouse -> obs(3,12), foodHouse -> obs(2,3), ghostHouse -> obs(2,3), foodHouse -> obs(2,11), ghostHouse -> obs(2,11), foodHouse -> obs(6,12), ghostHouse -> obs(6,12), foodHouse -> obs(8,10), ghostHouse -> obs(8,10), foodHouse -> obs(6,10), ghostHouse -> obs(6,10), foodHouse -> obs(8,12), ghostHouse -> obs(8,12), foodHouse -> obs(7,12), ghostHouse -> obs(7,12), foodHouse -> obs(2,10), ghostHouse -> obs(2,10), foodHouse -> obs(4,12), ghostHouse -> obs(4,12)
+{'obs(8,2)': ['blue', 'red', 'none'], 'obs(6,3)': ['blue', 'red', 'none'], 'obs(4,2)': ['blue', 'red', 'none'], 'obs(7,4)': ['blue', 'red', 'none'], 'yPos': ['bothTop', 'bothBottom', 'leftTop', 'leftBottom'], 'obs(8,4)': ['blue', 'red', 'none'], 'obs(2,2)': ['blue', 'red', 'none'], 'obs(2,4)': ['blue', 'red', 'none'], 'foodHouse': ['topLeft', 'topRight', 'bottomLeft', 'bottomRight'], 'obs(2,12)': ['blue', 'red', 'none'], 'obs(6,4)': ['blue', 'red', 'none'], 'obs(8,11)': ['blue', 'red', 'none'], 'ghostHouse': ['topLeft', 'topRight', 'bottomLeft', 'bottomRight'], 'obs(6,11)': ['blue', 'red', 'none'], 'obs(4,11)': ['blue', 'red', 'none'], 'obs(3,4)': ['blue', 'red', 'none'], 'obs(4,4)': ['blue', 'red', 'none'], 'obs(8,3)': ['blue', 'red', 'none'], 'obs(6,2)': ['blue', 'red', 'none'], 'obs(4,3)': ['blue', 'red', 'none'], 'obs(4,10)': ['blue', 'red', 'none'], 'obs(3,12)': ['blue', 'red', 'none'], 'obs(2,3)': ['blue', 'red', 'none'], 'xPos': ['foodLeft', 'ghostLeft'], 'obs(2,11)': ['blue', 'red', 'none'], 'obs(6,12)': ['blue', 'red', 'none'], 'obs(8,10)': ['blue', 'red', 'none'], 'obs(6,10)': ['blue', 'red', 'none'], 'obs(8,12)': ['blue', 'red', 'none'], 'obs(7,12)': ['blue', 'red', 'none'], 'obs(2,10)': ['blue', 'red', 'none'], 'obs(4,12)': ['blue', 'red', 'none']}
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q1/2-long-bottom.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/2-long-bottom.test
new file mode 100644
index 0000000..9d08e4c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/2-long-bottom.test	
@@ -0,0 +1,21 @@
+class: "GraphEqualityTest"
+
+layoutName: "longBottomBoard"
+layout: """
+%%%%%%%%%%%
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+% RBR BBR %
+% R.B BGB %
+% B B R R %
+%P        %
+%%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q1/3-wide-inverted.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/3-wide-inverted.solution
new file mode 100644
index 0000000..224e86a
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/3-wide-inverted.solution	
@@ -0,0 +1,7 @@
+# This is the solution file for test_cases/q1/3-wide-inverted.test.
+
+solutionString: """
+Variables: obs(16,11), obs(4,2), obs(16,2), obs(14,11), obs(16,4), obs(2,2), obs(2,4), foodHouse, obs(2,12), ghostHouse, obs(4,11), obs(3,4), obs(14,3), obs(4,4), obs(15,12), obs(4,3), obs(4,10), obs(3,12), obs(14,10), obs(15,4), obs(14,12), obs(16,3), obs(2,3), xPos, obs(4,12), obs(2,11), obs(14,4), yPos, obs(14,2), obs(2,10), obs(16,12), obs(16,10)
+Edges: foodHouse -> obs(16,11), ghostHouse -> obs(16,11), foodHouse -> obs(4,2), ghostHouse -> obs(4,2), foodHouse -> obs(16,2), ghostHouse -> obs(16,2), foodHouse -> obs(14,11), ghostHouse -> obs(14,11), foodHouse -> obs(16,4), ghostHouse -> obs(16,4), foodHouse -> obs(2,2), ghostHouse -> obs(2,2), foodHouse -> obs(2,4), ghostHouse -> obs(2,4), xPos -> foodHouse, yPos -> foodHouse, foodHouse -> obs(2,12), ghostHouse -> obs(2,12), xPos -> ghostHouse, yPos -> ghostHouse, foodHouse -> obs(4,11), ghostHouse -> obs(4,11), foodHouse -> obs(3,4), ghostHouse -> obs(3,4), foodHouse -> obs(14,3), ghostHouse -> obs(14,3), foodHouse -> obs(4,4), ghostHouse -> obs(4,4), foodHouse -> obs(15,12), ghostHouse -> obs(15,12), foodHouse -> obs(4,3), ghostHouse -> obs(4,3), foodHouse -> obs(4,10), ghostHouse -> obs(4,10), foodHouse -> obs(3,12), ghostHouse -> obs(3,12), foodHouse -> obs(14,10), ghostHouse -> obs(14,10), foodHouse -> obs(15,4), ghostHouse -> obs(15,4), foodHouse -> obs(14,12), ghostHouse -> obs(14,12), foodHouse -> obs(16,3), ghostHouse -> obs(16,3), foodHouse -> obs(2,3), ghostHouse -> obs(2,3), foodHouse -> obs(4,12), ghostHouse -> obs(4,12), foodHouse -> obs(2,11), ghostHouse -> obs(2,11), foodHouse -> obs(14,4), ghostHouse -> obs(14,4), foodHouse -> obs(14,2), ghostHouse -> obs(14,2), foodHouse -> obs(2,10), ghostHouse -> obs(2,10), foodHouse -> obs(16,12), ghostHouse -> obs(16,12), foodHouse -> obs(16,10), ghostHouse -> obs(16,10)
+{'obs(16,11)': ['blue', 'red', 'none'], 'obs(4,2)': ['blue', 'red', 'none'], 'obs(2,2)': ['blue', 'red', 'none'], 'obs(14,11)': ['blue', 'red', 'none'], 'obs(16,4)': ['blue', 'red', 'none'], 'obs(16,2)': ['blue', 'red', 'none'], 'obs(2,4)': ['blue', 'red', 'none'], 'foodHouse': ['topLeft', 'topRight', 'bottomLeft', 'bottomRight'], 'obs(2,12)': ['blue', 'red', 'none'], 'ghostHouse': ['topLeft', 'topRight', 'bottomLeft', 'bottomRight'], 'obs(4,11)': ['blue', 'red', 'none'], 'obs(3,4)': ['blue', 'red', 'none'], 'obs(14,3)': ['blue', 'red', 'none'], 'obs(4,4)': ['blue', 'red', 'none'], 'obs(15,12)': ['blue', 'red', 'none'], 'obs(4,3)': ['blue', 'red', 'none'], 'obs(4,10)': ['blue', 'red', 'none'], 'obs(3,12)': ['blue', 'red', 'none'], 'obs(14,10)': ['blue', 'red', 'none'], 'obs(15,4)': ['blue', 'red', 'none'], 'obs(14,12)': ['blue', 'red', 'none'], 'obs(16,3)': ['blue', 'red', 'none'], 'obs(2,3)': ['blue', 'red', 'none'], 'xPos': ['foodLeft', 'ghostLeft'], 'obs(4,12)': ['blue', 'red', 'none'], 'obs(2,11)': ['blue', 'red', 'none'], 'obs(14,4)': ['blue', 'red', 'none'], 'yPos': ['bothTop', 'bothBottom', 'leftTop', 'leftBottom'], 'obs(14,2)': ['blue', 'red', 'none'], 'obs(2,10)': ['blue', 'red', 'none'], 'obs(16,12)': ['blue', 'red', 'none'], 'obs(16,10)': ['blue', 'red', 'none']}
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q1/3-wide-inverted.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/3-wide-inverted.test
new file mode 100644
index 0000000..c2a385b
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/3-wide-inverted.test	
@@ -0,0 +1,21 @@
+class: "GraphEqualityTest"
+
+layoutName: "wideInvertedBoard"
+layout: """
+%%%%%%%%%%%%%%%%%%%
+%                 %
+%             BRR %
+%             RGB %
+%             R B %
+%                 %
+%                 %
+%                 %
+%                 %
+%                 %
+% BBB             %
+% R.B             %
+% B B             %
+%P                %
+%%%%%%%%%%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q1/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/CONFIG
new file mode 100644
index 0000000..ad7e38a
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q1/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q2/1-small-board.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/1-small-board.solution
new file mode 100644
index 0000000..ca3767a
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/1-small-board.solution	
@@ -0,0 +1,1706 @@
+# This is the solution file for test_cases/q2/1-small-board.test.
+
+variableDomainsDict: """
+obs(4,2) : blue red none
+obs(12,3) : blue red none
+obs(10,4) : blue red none
+obs(10,2) : blue red none
+obs(12,7) : blue red none
+obs(2,2) : blue red none
+obs(2,4) : blue red none
+foodHouse : topLeft topRight bottomLeft bottomRight
+obs(2,7) : blue red none
+ghostHouse : topLeft topRight bottomLeft bottomRight
+obs(10,6) : blue red none
+obs(10,8) : blue red none
+obs(3,4) : blue red none
+obs(4,6) : blue red none
+obs(4,4) : blue red none
+obs(4,3) : blue red none
+obs(11,8) : blue red none
+obs(12,2) : blue red none
+obs(10,3) : blue red none
+obs(3,8) : blue red none
+obs(12,6) : blue red none
+obs(2,3) : blue red none
+obs(10,7) : blue red none
+obs(12,4) : blue red none
+obs(4,8) : blue red none
+xPos : foodLeft ghostLeft
+obs(2,6) : blue red none
+obs(2,8) : blue red none
+yPos : bothTop bothBottom leftTop leftBottom
+obs(12,8) : blue red none
+obs(4,7) : blue red none
+obs(11,4) : blue red none
+"""
+
+obs(4,2)unconditionedVariables: "obs(4,2)"
+
+obs(4,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,2)FactorTable: """
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(12,3)unconditionedVariables: "obs(12,3)"
+
+obs(12,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(12,3)FactorTable: """
+obs(12,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(12,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(12,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(12,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(12,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(12,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(12,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(12,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(12,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(12,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(12,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(12,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(12,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(12,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(12,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(12,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(12,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(12,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(12,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(12,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(12,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(12,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(12,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(12,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(12,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(12,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(2,2)unconditionedVariables: "obs(2,2)"
+
+obs(2,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,2)FactorTable: """
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(10,2)unconditionedVariables: "obs(10,2)"
+
+obs(10,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(10,2)FactorTable: """
+obs(10,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(10,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(10,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(10,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(10,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(10,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(10,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(10,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(10,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(10,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(10,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(10,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(10,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(10,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(10,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(10,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(10,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(10,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(10,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(10,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(10,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(10,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(10,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(10,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(10,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(10,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(12,7)unconditionedVariables: "obs(12,7)"
+
+obs(12,7)conditionedVariables: "ghostHouse foodHouse"
+
+obs(12,7)FactorTable: """
+obs(12,7) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,7) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,7) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(12,7) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(12,7) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(12,7) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,7) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,7) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,7) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(12,7) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,7) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,7) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(12,7) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(12,7) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(12,7) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,7) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(12,7) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(12,7) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,7) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(12,7) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(12,7) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,7) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(12,7) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(12,7) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(12,7) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,7) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,7) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(12,7) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(12,7) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(12,7) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,7) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,7) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,7) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(12,7) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,7) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,7) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(12,7) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,7) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,7) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(12,7) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(12,7) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(12,7) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(12,7) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,7) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,7) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(12,7) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(12,7) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(12,7) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(10,4)unconditionedVariables: "obs(10,4)"
+
+obs(10,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(10,4)FactorTable: """
+obs(10,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(10,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(10,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(10,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(10,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(10,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(10,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(10,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(10,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(10,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(10,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(10,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(10,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(10,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(10,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(10,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(10,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(10,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(10,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(10,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(10,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(10,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(10,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(10,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(10,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(10,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(2,4)unconditionedVariables: "obs(2,4)"
+
+obs(2,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,4)FactorTable: """
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+foodHouseunconditionedVariables: "foodHouse"
+
+foodHouseconditionedVariables: "xPos yPos"
+
+foodHouseFactorTable: """
+foodHouse : topLeft, xPos : foodLeft, yPos : bothTop = 1
+foodHouse : topRight, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : bottomRight, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : bothTop = 1
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : topLeft, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : topRight, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : bothBottom = 1
+foodHouse : bottomRight, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : bothBottom = 1
+foodHouse : topLeft, xPos : foodLeft, yPos : leftTop = 1
+foodHouse : topRight, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : bottomRight, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : leftTop = 1
+foodHouse : topLeft, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : topRight, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : leftBottom = 1
+foodHouse : bottomRight, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : leftBottom = 1
+"""
+
+
+obs(2,7)unconditionedVariables: "obs(2,7)"
+
+obs(2,7)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,7)FactorTable: """
+obs(2,7) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,7) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,7) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,7) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,7) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,7) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,7) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,7) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,7) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,7) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,7) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,7) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,7) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,7) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,7) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,7) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,7) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,7) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,7) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,7) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,7) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,7) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,7) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,7) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,7) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,7) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,7) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,7) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,7) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,7) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,7) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,7) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,7) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,7) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,7) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,7) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,7) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,7) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,7) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,7) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,7) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,7) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,7) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,7) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,7) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,7) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,7) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,7) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+ghostHouseunconditionedVariables: "ghostHouse"
+
+ghostHouseconditionedVariables: "xPos yPos"
+
+ghostHouseFactorTable: """
+ghostHouse : topLeft, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : bothTop = 1
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : topLeft, xPos : ghostLeft, yPos : bothTop = 1
+ghostHouse : topRight, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : bothBottom = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : topRight, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : bothBottom = 1
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : leftTop = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : leftTop = 1
+ghostHouse : topRight, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : leftBottom = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : leftBottom = 0
+ghostHouse : topRight, xPos : ghostLeft, yPos : leftBottom = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : leftBottom = 1
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : leftBottom = 0
+"""
+
+
+obs(10,6)unconditionedVariables: "obs(10,6)"
+
+obs(10,6)conditionedVariables: "ghostHouse foodHouse"
+
+obs(10,6)FactorTable: """
+obs(10,6) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,6) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,6) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(10,6) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(10,6) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(10,6) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,6) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,6) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,6) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(10,6) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,6) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,6) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(10,6) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(10,6) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(10,6) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,6) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(10,6) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(10,6) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,6) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(10,6) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(10,6) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,6) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(10,6) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(10,6) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(10,6) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,6) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,6) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(10,6) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(10,6) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(10,6) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,6) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,6) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,6) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(10,6) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,6) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,6) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(10,6) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,6) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,6) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(10,6) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(10,6) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(10,6) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(10,6) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,6) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,6) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(10,6) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(10,6) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(10,6) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,8)unconditionedVariables: "obs(4,8)"
+
+obs(4,8)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,8)FactorTable: """
+obs(4,8) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,8) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,8) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,8) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,8) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,8) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,8) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,8) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,8) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,8) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,8) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,8) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,8) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,8) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,8) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,8) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,8) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,8) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,8) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,8) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,8) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,8) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,8) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,8) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,8) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,8) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,8) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,8) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,8) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,8) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,8) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,8) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,8) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,8) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,8) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,8) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,8) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,8) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,8) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,8) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,8) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,8) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,8) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,8) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,8) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,8) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(3,4)unconditionedVariables: "obs(3,4)"
+
+obs(3,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(3,4)FactorTable: """
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,6)unconditionedVariables: "obs(4,6)"
+
+obs(4,6)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,6)FactorTable: """
+obs(4,6) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,6) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,6) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,6) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,6) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,6) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,6) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,6) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,6) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,6) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,6) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,6) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,6) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,6) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,6) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,6) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,6) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,6) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,6) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,6) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,6) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,6) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,6) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,6) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,6) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,6) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,6) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,6) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,6) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,6) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,6) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,6) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,6) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,6) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,6) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,6) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,6) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,6) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,6) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,6) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,6) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,6) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,6) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,6) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,6) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,6) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,6) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,6) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,4)unconditionedVariables: "obs(4,4)"
+
+obs(4,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,4)FactorTable: """
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,3)unconditionedVariables: "obs(4,3)"
+
+obs(4,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,3)FactorTable: """
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(11,8)unconditionedVariables: "obs(11,8)"
+
+obs(11,8)conditionedVariables: "ghostHouse foodHouse"
+
+obs(11,8)FactorTable: """
+obs(11,8) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(11,8) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(11,8) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(11,8) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(11,8) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(11,8) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(11,8) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(11,8) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(11,8) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(11,8) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(11,8) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(11,8) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(11,8) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(11,8) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(11,8) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(11,8) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(11,8) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(11,8) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(11,8) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(11,8) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(11,8) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(11,8) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(11,8) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(11,8) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(11,8) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(11,8) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(11,8) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(11,8) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(11,8) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(11,8) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(11,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(11,8) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(11,8) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(11,8) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(11,8) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(11,8) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(11,8) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(11,8) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(11,8) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(11,8) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(11,8) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(11,8) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(11,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(11,8) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(11,8) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(11,8) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(11,8) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(11,8) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(10,8)unconditionedVariables: "obs(10,8)"
+
+obs(10,8)conditionedVariables: "ghostHouse foodHouse"
+
+obs(10,8)FactorTable: """
+obs(10,8) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,8) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,8) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(10,8) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(10,8) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(10,8) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,8) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,8) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,8) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(10,8) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,8) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,8) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(10,8) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(10,8) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(10,8) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,8) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(10,8) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(10,8) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,8) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(10,8) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(10,8) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,8) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(10,8) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(10,8) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(10,8) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,8) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,8) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(10,8) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(10,8) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(10,8) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,8) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,8) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(10,8) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,8) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,8) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(10,8) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,8) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,8) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(10,8) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(10,8) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(10,8) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(10,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,8) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,8) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(10,8) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(10,8) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(10,8) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(12,2)unconditionedVariables: "obs(12,2)"
+
+obs(12,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(12,2)FactorTable: """
+obs(12,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(12,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(12,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(12,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(12,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(12,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(12,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(12,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(12,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(12,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(12,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(12,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(12,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(12,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(12,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(12,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(12,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(12,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(12,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(12,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(12,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(12,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(12,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(12,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(12,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(12,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(10,3)unconditionedVariables: "obs(10,3)"
+
+obs(10,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(10,3)FactorTable: """
+obs(10,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(10,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(10,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(10,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(10,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(10,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(10,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(10,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(10,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(10,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(10,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(10,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(10,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(10,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(10,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(10,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(10,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(10,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(10,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(10,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(10,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(10,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(10,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(10,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(10,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(10,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(3,8)unconditionedVariables: "obs(3,8)"
+
+obs(3,8)conditionedVariables: "ghostHouse foodHouse"
+
+obs(3,8)FactorTable: """
+obs(3,8) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(3,8) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(3,8) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,8) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(3,8) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(3,8) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,8) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(3,8) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(3,8) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(3,8) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(3,8) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(3,8) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,8) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(3,8) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(3,8) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,8) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,8) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,8) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(3,8) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,8) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,8) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(3,8) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,8) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,8) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(3,8) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(3,8) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(3,8) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(3,8) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,8) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,8) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(3,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,8) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,8) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(3,8) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,8) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,8) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(3,8) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(3,8) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(3,8) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,8) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,8) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,8) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(3,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,8) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,8) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(3,8) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,8) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,8) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(12,6)unconditionedVariables: "obs(12,6)"
+
+obs(12,6)conditionedVariables: "ghostHouse foodHouse"
+
+obs(12,6)FactorTable: """
+obs(12,6) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,6) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,6) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(12,6) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(12,6) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(12,6) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,6) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,6) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,6) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(12,6) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,6) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,6) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(12,6) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(12,6) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(12,6) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,6) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(12,6) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(12,6) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,6) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(12,6) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(12,6) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,6) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(12,6) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(12,6) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(12,6) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,6) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,6) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(12,6) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(12,6) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(12,6) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,6) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,6) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,6) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(12,6) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,6) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,6) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(12,6) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,6) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,6) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(12,6) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(12,6) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(12,6) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(12,6) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,6) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,6) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(12,6) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(12,6) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(12,6) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(2,3)unconditionedVariables: "obs(2,3)"
+
+obs(2,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,3)FactorTable: """
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(10,7)unconditionedVariables: "obs(10,7)"
+
+obs(10,7)conditionedVariables: "ghostHouse foodHouse"
+
+obs(10,7)FactorTable: """
+obs(10,7) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,7) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(10,7) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(10,7) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(10,7) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(10,7) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(10,7) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,7) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(10,7) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(10,7) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,7) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(10,7) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(10,7) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(10,7) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(10,7) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(10,7) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(10,7) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(10,7) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(10,7) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(10,7) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(10,7) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(10,7) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(10,7) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(10,7) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(10,7) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,7) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(10,7) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(10,7) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(10,7) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(10,7) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(10,7) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,7) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(10,7) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(10,7) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,7) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(10,7) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(10,7) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,7) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(10,7) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(10,7) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(10,7) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(10,7) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(10,7) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,7) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(10,7) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(10,7) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(10,7) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(10,7) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(12,4)unconditionedVariables: "obs(12,4)"
+
+obs(12,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(12,4)FactorTable: """
+obs(12,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(12,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(12,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(12,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(12,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(12,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(12,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(12,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(12,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(12,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(12,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(12,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(12,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(12,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(12,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(12,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(12,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(12,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(12,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(12,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(12,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(12,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(12,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(12,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(12,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(12,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+xPosunconditionedVariables: "xPos"
+
+xPosconditionedVariables: ""
+
+xPosFactorTable: """
+xPos : foodLeft = 0.4
+xPos : ghostLeft = 0.6
+"""
+
+
+obs(2,6)unconditionedVariables: "obs(2,6)"
+
+obs(2,6)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,6)FactorTable: """
+obs(2,6) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,6) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,6) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,6) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,6) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,6) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,6) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,6) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,6) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,6) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,6) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,6) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,6) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,6) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,6) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,6) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,6) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,6) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,6) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,6) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,6) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,6) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,6) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,6) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,6) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,6) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,6) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,6) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,6) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,6) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,6) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,6) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,6) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,6) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,6) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,6) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,6) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,6) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,6) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,6) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,6) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,6) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,6) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,6) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,6) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,6) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,6) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,6) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(2,8)unconditionedVariables: "obs(2,8)"
+
+obs(2,8)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,8)FactorTable: """
+obs(2,8) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,8) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,8) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,8) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,8) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,8) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,8) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,8) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,8) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,8) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,8) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,8) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,8) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,8) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,8) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,8) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,8) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,8) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,8) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,8) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,8) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,8) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,8) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,8) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,8) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,8) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,8) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,8) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,8) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,8) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,8) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,8) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,8) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,8) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,8) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,8) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,8) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,8) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,8) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,8) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,8) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,8) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,8) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,8) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,8) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,8) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+yPosunconditionedVariables: "yPos"
+
+yPosconditionedVariables: ""
+
+yPosFactorTable: """
+yPos : bothTop = 0.18
+yPos : bothBottom = 0.12
+yPos : leftTop = 0.42
+yPos : leftBottom = 0.28
+"""
+
+
+obs(12,8)unconditionedVariables: "obs(12,8)"
+
+obs(12,8)conditionedVariables: "ghostHouse foodHouse"
+
+obs(12,8)FactorTable: """
+obs(12,8) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,8) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(12,8) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(12,8) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(12,8) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(12,8) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(12,8) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,8) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(12,8) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(12,8) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,8) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(12,8) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(12,8) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(12,8) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(12,8) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(12,8) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(12,8) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(12,8) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(12,8) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(12,8) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(12,8) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(12,8) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(12,8) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(12,8) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(12,8) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,8) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(12,8) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(12,8) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(12,8) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(12,8) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(12,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,8) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(12,8) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(12,8) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,8) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(12,8) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(12,8) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,8) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(12,8) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(12,8) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(12,8) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(12,8) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(12,8) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,8) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(12,8) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(12,8) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(12,8) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(12,8) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,7)unconditionedVariables: "obs(4,7)"
+
+obs(4,7)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,7)FactorTable: """
+obs(4,7) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,7) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,7) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,7) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,7) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,7) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,7) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,7) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,7) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,7) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,7) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,7) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,7) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,7) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,7) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,7) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,7) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,7) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,7) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,7) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,7) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,7) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,7) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,7) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,7) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,7) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,7) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,7) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,7) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,7) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,7) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,7) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,7) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,7) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,7) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,7) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,7) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,7) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,7) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,7) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,7) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,7) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,7) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,7) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,7) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,7) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,7) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,7) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(11,4)unconditionedVariables: "obs(11,4)"
+
+obs(11,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(11,4)FactorTable: """
+obs(11,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(11,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(11,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(11,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(11,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(11,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(11,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(11,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(11,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(11,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(11,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(11,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(11,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(11,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(11,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(11,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(11,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(11,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(11,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(11,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(11,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(11,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(11,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(11,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(11,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(11,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(11,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(11,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(11,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(11,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(11,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(11,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(11,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(11,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(11,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(11,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(11,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(11,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(11,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(11,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(11,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(11,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(11,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(11,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(11,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(11,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(11,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(11,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q2/1-small-board.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/1-small-board.test
new file mode 100644
index 0000000..dd94b23
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/1-small-board.test	
@@ -0,0 +1,17 @@
+class: "BayesNetEqualityTest"
+
+layoutName: "smallBoard"
+layout: """
+%%%%%%%%%%%%%%%
+%             %
+% RBB         %
+% BGB         %
+% B R         %
+%             %
+%         RBR %
+%         B.R %
+%         B R %
+%P            %
+%%%%%%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q2/2-long-bottom.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/2-long-bottom.solution
new file mode 100644
index 0000000..f2e1d31
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/2-long-bottom.solution	
@@ -0,0 +1,1706 @@
+# This is the solution file for test_cases/q2/2-long-bottom.test.
+
+variableDomainsDict: """
+obs(8,2) : blue red none
+obs(6,3) : blue red none
+obs(4,2) : blue red none
+obs(7,4) : blue red none
+obs(6,10) : blue red none
+obs(8,4) : blue red none
+obs(2,2) : blue red none
+obs(2,4) : blue red none
+foodHouse : topLeft topRight bottomLeft bottomRight
+obs(2,12) : blue red none
+obs(8,12) : blue red none
+obs(8,11) : blue red none
+ghostHouse : topLeft topRight bottomLeft bottomRight
+obs(6,11) : blue red none
+obs(4,11) : blue red none
+obs(3,4) : blue red none
+obs(4,4) : blue red none
+obs(8,3) : blue red none
+obs(6,2) : blue red none
+obs(4,3) : blue red none
+obs(3,12) : blue red none
+obs(2,3) : blue red none
+xPos : foodLeft ghostLeft
+obs(2,11) : blue red none
+obs(6,12) : blue red none
+obs(8,10) : blue red none
+yPos : bothTop bothBottom leftTop leftBottom
+obs(6,4) : blue red none
+obs(7,12) : blue red none
+obs(2,10) : blue red none
+obs(4,10) : blue red none
+obs(4,12) : blue red none
+"""
+
+obs(8,2)unconditionedVariables: "obs(8,2)"
+
+obs(8,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(8,2)FactorTable: """
+obs(8,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(8,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(8,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(8,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(8,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(8,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(8,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(8,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(8,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(8,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(8,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(8,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(8,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(8,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(8,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(8,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(8,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(8,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(8,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(8,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(8,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(8,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(8,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(8,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(8,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(8,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(6,3)unconditionedVariables: "obs(6,3)"
+
+obs(6,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(6,3)FactorTable: """
+obs(6,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(6,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(6,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(6,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(6,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(6,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(6,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(6,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(6,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(6,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(6,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(6,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(6,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(6,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(6,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(6,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(6,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(6,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(6,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(6,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(6,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(6,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(6,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(6,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(6,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(6,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(4,2)unconditionedVariables: "obs(4,2)"
+
+obs(4,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,2)FactorTable: """
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(7,4)unconditionedVariables: "obs(7,4)"
+
+obs(7,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(7,4)FactorTable: """
+obs(7,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(7,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(7,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(7,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(7,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(7,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(7,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(7,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(7,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(7,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(7,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(7,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(7,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(7,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(7,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(7,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(7,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(7,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(7,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(7,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(7,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(7,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(7,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(7,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(7,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(7,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(7,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(7,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(7,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(7,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(7,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(7,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(7,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(7,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(7,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(7,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(7,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(7,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(7,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(7,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(7,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(7,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(7,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(7,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(7,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(7,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(7,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(7,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+yPosunconditionedVariables: "yPos"
+
+yPosconditionedVariables: ""
+
+yPosFactorTable: """
+yPos : bothTop = 0.18
+yPos : bothBottom = 0.12
+yPos : leftTop = 0.42
+yPos : leftBottom = 0.28
+"""
+
+
+obs(8,4)unconditionedVariables: "obs(8,4)"
+
+obs(8,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(8,4)FactorTable: """
+obs(8,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(8,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(8,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(8,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(8,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(8,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(8,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(8,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(8,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(8,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(8,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(8,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(8,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(8,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(8,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(8,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(8,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(8,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(8,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(8,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(8,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(8,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(8,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(8,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(8,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(8,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(2,2)unconditionedVariables: "obs(2,2)"
+
+obs(2,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,2)FactorTable: """
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(2,4)unconditionedVariables: "obs(2,4)"
+
+obs(2,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,4)FactorTable: """
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+foodHouseunconditionedVariables: "foodHouse"
+
+foodHouseconditionedVariables: "xPos yPos"
+
+foodHouseFactorTable: """
+foodHouse : topLeft, xPos : foodLeft, yPos : bothTop = 1
+foodHouse : topRight, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : bottomRight, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : bothTop = 1
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : topLeft, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : topRight, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : bothBottom = 1
+foodHouse : bottomRight, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : bothBottom = 1
+foodHouse : topLeft, xPos : foodLeft, yPos : leftTop = 1
+foodHouse : topRight, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : bottomRight, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : leftTop = 1
+foodHouse : topLeft, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : topRight, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : leftBottom = 1
+foodHouse : bottomRight, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : leftBottom = 1
+"""
+
+
+obs(2,12)unconditionedVariables: "obs(2,12)"
+
+obs(2,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,12)FactorTable: """
+obs(2,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,12) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,12) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(6,4)unconditionedVariables: "obs(6,4)"
+
+obs(6,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(6,4)FactorTable: """
+obs(6,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(6,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(6,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(6,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(6,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(6,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(6,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(6,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(6,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(6,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(6,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(6,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(6,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(6,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(6,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(6,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(6,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(6,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(6,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(6,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(6,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(6,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(6,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(6,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(6,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(6,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(8,11)unconditionedVariables: "obs(8,11)"
+
+obs(8,11)conditionedVariables: "ghostHouse foodHouse"
+
+obs(8,11)FactorTable: """
+obs(8,11) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,11) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,11) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(8,11) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(8,11) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(8,11) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,11) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,11) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,11) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(8,11) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,11) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,11) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(8,11) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(8,11) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(8,11) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,11) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(8,11) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(8,11) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,11) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(8,11) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(8,11) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,11) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(8,11) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(8,11) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(8,11) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,11) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,11) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(8,11) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(8,11) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(8,11) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,11) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,11) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(8,11) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,11) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,11) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(8,11) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,11) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,11) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(8,11) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(8,11) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(8,11) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(8,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,11) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,11) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(8,11) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(8,11) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(8,11) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+ghostHouseunconditionedVariables: "ghostHouse"
+
+ghostHouseconditionedVariables: "xPos yPos"
+
+ghostHouseFactorTable: """
+ghostHouse : topLeft, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : bothTop = 1
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : topLeft, xPos : ghostLeft, yPos : bothTop = 1
+ghostHouse : topRight, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : bothBottom = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : topRight, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : bothBottom = 1
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : leftTop = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : leftTop = 1
+ghostHouse : topRight, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : leftBottom = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : leftBottom = 0
+ghostHouse : topRight, xPos : ghostLeft, yPos : leftBottom = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : leftBottom = 1
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : leftBottom = 0
+"""
+
+
+obs(6,11)unconditionedVariables: "obs(6,11)"
+
+obs(6,11)conditionedVariables: "ghostHouse foodHouse"
+
+obs(6,11)FactorTable: """
+obs(6,11) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,11) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,11) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(6,11) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(6,11) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(6,11) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,11) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,11) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,11) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(6,11) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,11) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,11) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(6,11) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(6,11) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(6,11) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,11) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(6,11) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(6,11) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,11) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(6,11) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(6,11) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,11) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(6,11) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(6,11) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(6,11) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,11) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,11) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(6,11) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(6,11) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(6,11) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,11) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,11) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(6,11) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,11) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,11) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(6,11) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,11) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,11) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(6,11) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(6,11) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(6,11) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(6,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,11) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,11) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(6,11) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(6,11) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(6,11) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,11)unconditionedVariables: "obs(4,11)"
+
+obs(4,11)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,11)FactorTable: """
+obs(4,11) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,11) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,11) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,11) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,11) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,11) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,11) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,11) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,11) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,11) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,11) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,11) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,11) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,11) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,11) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,11) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,11) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,11) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,11) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,11) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,11) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,11) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,11) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,11) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,11) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,11) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,11) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,11) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,11) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,11) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,11) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,11) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,11) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,11) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,11) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,11) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,11) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,11) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,11) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,11) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,11) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,11) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,11) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,11) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,11) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,11) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(3,4)unconditionedVariables: "obs(3,4)"
+
+obs(3,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(3,4)FactorTable: """
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,4)unconditionedVariables: "obs(4,4)"
+
+obs(4,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,4)FactorTable: """
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(8,3)unconditionedVariables: "obs(8,3)"
+
+obs(8,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(8,3)FactorTable: """
+obs(8,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(8,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(8,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(8,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(8,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(8,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(8,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(8,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(8,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(8,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(8,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(8,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(8,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(8,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(8,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(8,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(8,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(8,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(8,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(8,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(8,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(8,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(8,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(8,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(8,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(8,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(6,2)unconditionedVariables: "obs(6,2)"
+
+obs(6,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(6,2)FactorTable: """
+obs(6,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(6,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(6,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(6,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(6,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(6,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(6,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(6,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(6,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(6,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(6,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(6,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(6,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(6,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(6,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(6,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(6,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(6,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(6,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(6,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(6,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(6,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(6,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(6,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(6,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(6,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(4,3)unconditionedVariables: "obs(4,3)"
+
+obs(4,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,3)FactorTable: """
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,10)unconditionedVariables: "obs(4,10)"
+
+obs(4,10)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,10)FactorTable: """
+obs(4,10) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,10) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,10) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,10) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,10) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,10) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,10) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,10) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,10) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,10) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,10) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,10) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,10) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,10) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,10) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,10) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,10) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,10) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,10) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,10) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,10) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,10) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,10) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,10) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,10) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,10) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,10) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,10) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,10) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,10) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,10) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,10) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,10) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,10) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,10) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,10) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,10) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,10) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,10) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,10) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,10) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,10) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,10) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,10) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,10) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,10) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(3,12)unconditionedVariables: "obs(3,12)"
+
+obs(3,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(3,12)FactorTable: """
+obs(3,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(3,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(3,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(3,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(3,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(3,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(3,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(3,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(3,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(3,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(3,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(3,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,12) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,12) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(3,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(3,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(3,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(3,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(3,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(3,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(3,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(3,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(3,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(3,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(3,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(3,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(3,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(2,3)unconditionedVariables: "obs(2,3)"
+
+obs(2,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,3)FactorTable: """
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+xPosunconditionedVariables: "xPos"
+
+xPosconditionedVariables: ""
+
+xPosFactorTable: """
+xPos : foodLeft = 0.4
+xPos : ghostLeft = 0.6
+"""
+
+
+obs(2,11)unconditionedVariables: "obs(2,11)"
+
+obs(2,11)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,11)FactorTable: """
+obs(2,11) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,11) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,11) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,11) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,11) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,11) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,11) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,11) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,11) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,11) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,11) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,11) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,11) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,11) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,11) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,11) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,11) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,11) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,11) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,11) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,11) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,11) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,11) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,11) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,11) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,11) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,11) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,11) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,11) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,11) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,11) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,11) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,11) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,11) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,11) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,11) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,11) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,11) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,11) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,11) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,11) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,11) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,11) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,11) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,11) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,11) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(6,12)unconditionedVariables: "obs(6,12)"
+
+obs(6,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(6,12)FactorTable: """
+obs(6,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(6,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(6,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(6,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(6,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(6,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(6,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(6,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(6,12) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(6,12) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(6,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(6,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(6,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(6,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(6,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(6,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(6,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(6,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(6,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(6,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(6,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(6,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(6,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(6,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(6,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(6,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(6,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(8,10)unconditionedVariables: "obs(8,10)"
+
+obs(8,10)conditionedVariables: "ghostHouse foodHouse"
+
+obs(8,10)FactorTable: """
+obs(8,10) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,10) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,10) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(8,10) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(8,10) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(8,10) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,10) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,10) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,10) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(8,10) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,10) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,10) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(8,10) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(8,10) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(8,10) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,10) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(8,10) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(8,10) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,10) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(8,10) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(8,10) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,10) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(8,10) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(8,10) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(8,10) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,10) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,10) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(8,10) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(8,10) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(8,10) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,10) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,10) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(8,10) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,10) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,10) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(8,10) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,10) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,10) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(8,10) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(8,10) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(8,10) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(8,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,10) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,10) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(8,10) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(8,10) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(8,10) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(6,10)unconditionedVariables: "obs(6,10)"
+
+obs(6,10)conditionedVariables: "ghostHouse foodHouse"
+
+obs(6,10)FactorTable: """
+obs(6,10) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,10) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(6,10) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(6,10) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(6,10) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(6,10) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(6,10) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,10) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(6,10) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(6,10) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,10) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(6,10) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(6,10) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(6,10) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(6,10) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(6,10) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(6,10) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(6,10) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(6,10) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(6,10) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(6,10) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(6,10) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(6,10) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(6,10) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(6,10) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,10) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(6,10) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(6,10) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(6,10) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(6,10) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(6,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,10) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(6,10) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(6,10) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,10) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(6,10) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(6,10) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,10) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(6,10) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(6,10) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(6,10) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(6,10) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(6,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,10) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(6,10) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(6,10) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(6,10) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(6,10) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(8,12)unconditionedVariables: "obs(8,12)"
+
+obs(8,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(8,12)FactorTable: """
+obs(8,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(8,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(8,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(8,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(8,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(8,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(8,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(8,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(8,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(8,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(8,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(8,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(8,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(8,12) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(8,12) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(8,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(8,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(8,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(8,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(8,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(8,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(8,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(8,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(8,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(8,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(8,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(8,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(8,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(8,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(8,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(8,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(8,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(8,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(8,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(8,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(8,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(8,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(8,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(8,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(8,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(7,12)unconditionedVariables: "obs(7,12)"
+
+obs(7,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(7,12)FactorTable: """
+obs(7,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(7,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(7,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(7,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(7,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(7,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(7,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(7,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(7,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(7,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(7,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(7,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(7,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(7,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(7,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(7,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(7,12) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(7,12) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(7,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(7,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(7,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(7,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(7,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(7,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(7,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(7,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(7,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(7,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(7,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(7,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(7,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(7,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(7,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(7,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(7,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(7,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(7,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(7,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(7,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(7,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(7,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(7,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(7,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(7,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(7,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(7,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(7,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(7,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(2,10)unconditionedVariables: "obs(2,10)"
+
+obs(2,10)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,10)FactorTable: """
+obs(2,10) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,10) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,10) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,10) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,10) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,10) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,10) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,10) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,10) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,10) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,10) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,10) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,10) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,10) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,10) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,10) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,10) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,10) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,10) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,10) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,10) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,10) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,10) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,10) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,10) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,10) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,10) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,10) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,10) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,10) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,10) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,10) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,10) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,10) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,10) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,10) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,10) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,10) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,10) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,10) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,10) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,10) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,10) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,10) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,10) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,10) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,12)unconditionedVariables: "obs(4,12)"
+
+obs(4,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,12)FactorTable: """
+obs(4,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,12) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,12) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q2/2-long-bottom.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/2-long-bottom.test
new file mode 100644
index 0000000..54e4eb6
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/2-long-bottom.test	
@@ -0,0 +1,21 @@
+class: "BayesNetEqualityTest"
+
+layoutName: "longBottomBoard"
+layout: """
+%%%%%%%%%%%
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+% RBR BBR %
+% R.B BGB %
+% B B R R %
+%P        %
+%%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q2/3-wide-inverted.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/3-wide-inverted.solution
new file mode 100644
index 0000000..a50a59b
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/3-wide-inverted.solution	
@@ -0,0 +1,1706 @@
+# This is the solution file for test_cases/q2/3-wide-inverted.test.
+
+variableDomainsDict: """
+obs(16,11) : blue red none
+obs(4,2) : blue red none
+obs(2,2) : blue red none
+obs(14,11) : blue red none
+obs(16,4) : blue red none
+obs(16,10) : blue red none
+obs(16,2) : blue red none
+obs(2,4) : blue red none
+foodHouse : topLeft topRight bottomLeft bottomRight
+obs(2,12) : blue red none
+ghostHouse : topLeft topRight bottomLeft bottomRight
+obs(4,11) : blue red none
+obs(3,4) : blue red none
+obs(14,3) : blue red none
+obs(4,4) : blue red none
+obs(15,12) : blue red none
+obs(4,3) : blue red none
+obs(3,12) : blue red none
+obs(14,10) : blue red none
+obs(15,4) : blue red none
+obs(14,12) : blue red none
+obs(16,3) : blue red none
+obs(2,3) : blue red none
+xPos : foodLeft ghostLeft
+obs(2,11) : blue red none
+obs(14,4) : blue red none
+yPos : bothTop bothBottom leftTop leftBottom
+obs(14,2) : blue red none
+obs(2,10) : blue red none
+obs(4,10) : blue red none
+obs(16,12) : blue red none
+obs(4,12) : blue red none
+"""
+
+obs(16,11)unconditionedVariables: "obs(16,11)"
+
+obs(16,11)conditionedVariables: "ghostHouse foodHouse"
+
+obs(16,11)FactorTable: """
+obs(16,11) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,11) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,11) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(16,11) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(16,11) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(16,11) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,11) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,11) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,11) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(16,11) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,11) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,11) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(16,11) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(16,11) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(16,11) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,11) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(16,11) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(16,11) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,11) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(16,11) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(16,11) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,11) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(16,11) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(16,11) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(16,11) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,11) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,11) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(16,11) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(16,11) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(16,11) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,11) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,11) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(16,11) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,11) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,11) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(16,11) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,11) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,11) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(16,11) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(16,11) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(16,11) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(16,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,11) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,11) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(16,11) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(16,11) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(16,11) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,2)unconditionedVariables: "obs(4,2)"
+
+obs(4,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,2)FactorTable: """
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(16,2)unconditionedVariables: "obs(16,2)"
+
+obs(16,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(16,2)FactorTable: """
+obs(16,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(16,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(16,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(16,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(16,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(16,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(16,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(16,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(16,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(16,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(16,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(16,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(16,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(16,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(16,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(16,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(16,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(16,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(16,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(16,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(16,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(16,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(16,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(16,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(16,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(16,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(14,11)unconditionedVariables: "obs(14,11)"
+
+obs(14,11)conditionedVariables: "ghostHouse foodHouse"
+
+obs(14,11)FactorTable: """
+obs(14,11) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,11) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,11) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(14,11) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(14,11) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(14,11) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,11) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,11) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,11) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(14,11) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,11) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,11) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(14,11) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(14,11) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(14,11) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,11) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(14,11) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(14,11) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,11) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(14,11) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(14,11) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,11) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(14,11) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(14,11) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(14,11) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,11) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,11) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(14,11) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(14,11) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(14,11) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,11) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,11) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(14,11) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,11) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,11) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(14,11) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,11) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,11) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(14,11) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(14,11) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(14,11) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(14,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,11) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,11) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(14,11) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(14,11) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(14,11) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(16,4)unconditionedVariables: "obs(16,4)"
+
+obs(16,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(16,4)FactorTable: """
+obs(16,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(16,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(16,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(16,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(16,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(16,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(16,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(16,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(16,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(16,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(16,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(16,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(16,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(16,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(16,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(16,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(16,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(16,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(16,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(16,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(16,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(16,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(16,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(16,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(16,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(16,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(2,2)unconditionedVariables: "obs(2,2)"
+
+obs(2,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,2)FactorTable: """
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(2,4)unconditionedVariables: "obs(2,4)"
+
+obs(2,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,4)FactorTable: """
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+foodHouseunconditionedVariables: "foodHouse"
+
+foodHouseconditionedVariables: "xPos yPos"
+
+foodHouseFactorTable: """
+foodHouse : topLeft, xPos : foodLeft, yPos : bothTop = 1
+foodHouse : topRight, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : bottomRight, xPos : foodLeft, yPos : bothTop = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : bothTop = 1
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : bothTop = 0
+foodHouse : topLeft, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : topRight, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : bothBottom = 1
+foodHouse : bottomRight, xPos : foodLeft, yPos : bothBottom = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : bothBottom = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : bothBottom = 1
+foodHouse : topLeft, xPos : foodLeft, yPos : leftTop = 1
+foodHouse : topRight, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : bottomRight, xPos : foodLeft, yPos : leftTop = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : leftTop = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : leftTop = 1
+foodHouse : topLeft, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : topRight, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : bottomLeft, xPos : foodLeft, yPos : leftBottom = 1
+foodHouse : bottomRight, xPos : foodLeft, yPos : leftBottom = 0
+foodHouse : topLeft, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : topRight, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : bottomLeft, xPos : ghostLeft, yPos : leftBottom = 0
+foodHouse : bottomRight, xPos : ghostLeft, yPos : leftBottom = 1
+"""
+
+
+obs(2,12)unconditionedVariables: "obs(2,12)"
+
+obs(2,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,12)FactorTable: """
+obs(2,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,12) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,12) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+ghostHouseunconditionedVariables: "ghostHouse"
+
+ghostHouseconditionedVariables: "xPos yPos"
+
+ghostHouseFactorTable: """
+ghostHouse : topLeft, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : bothTop = 1
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : bothTop = 0
+ghostHouse : topLeft, xPos : ghostLeft, yPos : bothTop = 1
+ghostHouse : topRight, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : bothTop = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : bothBottom = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : bothBottom = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : topRight, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : bothBottom = 1
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : bothBottom = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : leftTop = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : leftTop = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : leftTop = 1
+ghostHouse : topRight, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : leftTop = 0
+ghostHouse : topLeft, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : topRight, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : bottomLeft, xPos : foodLeft, yPos : leftBottom = 0
+ghostHouse : bottomRight, xPos : foodLeft, yPos : leftBottom = 1
+ghostHouse : topLeft, xPos : ghostLeft, yPos : leftBottom = 0
+ghostHouse : topRight, xPos : ghostLeft, yPos : leftBottom = 0
+ghostHouse : bottomLeft, xPos : ghostLeft, yPos : leftBottom = 1
+ghostHouse : bottomRight, xPos : ghostLeft, yPos : leftBottom = 0
+"""
+
+
+obs(4,11)unconditionedVariables: "obs(4,11)"
+
+obs(4,11)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,11)FactorTable: """
+obs(4,11) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,11) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,11) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,11) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,11) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,11) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,11) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,11) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,11) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,11) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,11) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,11) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,11) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,11) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,11) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,11) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,11) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,11) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,11) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,11) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,11) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,11) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,11) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,11) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,11) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,11) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,11) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,11) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,11) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,11) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,11) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,11) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,11) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,11) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,11) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,11) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,11) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,11) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,11) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,11) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,11) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,11) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,11) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,11) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,11) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,11) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(3,4)unconditionedVariables: "obs(3,4)"
+
+obs(3,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(3,4)FactorTable: """
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(3,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(3,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(3,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(3,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(14,3)unconditionedVariables: "obs(14,3)"
+
+obs(14,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(14,3)FactorTable: """
+obs(14,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(14,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(14,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(14,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(14,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(14,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(14,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(14,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(14,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(14,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(14,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(14,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(14,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(14,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(14,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(14,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(14,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(14,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(14,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(14,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(14,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(14,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(14,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(14,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(14,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(14,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(4,4)unconditionedVariables: "obs(4,4)"
+
+obs(4,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,4)FactorTable: """
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(15,12)unconditionedVariables: "obs(15,12)"
+
+obs(15,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(15,12)FactorTable: """
+obs(15,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(15,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(15,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(15,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(15,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(15,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(15,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(15,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(15,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(15,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(15,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(15,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(15,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(15,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(15,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(15,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(15,12) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(15,12) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(15,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(15,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(15,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(15,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(15,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(15,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(15,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(15,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(15,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(15,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(15,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(15,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(15,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(15,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(15,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(15,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(15,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(15,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(15,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(15,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(15,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(15,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(15,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(15,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(15,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(15,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(15,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(15,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(15,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(15,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,3)unconditionedVariables: "obs(4,3)"
+
+obs(4,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,3)FactorTable: """
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(4,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(4,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(4,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(4,10)unconditionedVariables: "obs(4,10)"
+
+obs(4,10)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,10)FactorTable: """
+obs(4,10) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,10) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,10) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,10) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,10) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,10) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,10) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,10) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,10) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,10) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,10) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,10) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,10) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,10) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,10) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,10) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,10) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,10) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,10) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,10) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,10) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,10) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,10) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,10) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,10) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,10) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,10) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,10) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,10) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,10) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,10) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,10) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,10) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,10) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,10) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,10) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,10) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,10) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,10) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,10) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,10) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,10) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,10) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,10) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,10) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,10) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(3,12)unconditionedVariables: "obs(3,12)"
+
+obs(3,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(3,12)FactorTable: """
+obs(3,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(3,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(3,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(3,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(3,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(3,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(3,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(3,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(3,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(3,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(3,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(3,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(3,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(3,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(3,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(3,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,12) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(3,12) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(3,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(3,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(3,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(3,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(3,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(3,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(3,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(3,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(3,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(3,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(3,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(3,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(3,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(3,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(3,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(3,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(3,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(3,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(3,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(3,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(3,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(3,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(14,10)unconditionedVariables: "obs(14,10)"
+
+obs(14,10)conditionedVariables: "ghostHouse foodHouse"
+
+obs(14,10)FactorTable: """
+obs(14,10) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,10) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,10) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(14,10) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(14,10) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(14,10) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,10) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,10) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,10) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(14,10) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,10) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,10) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(14,10) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(14,10) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(14,10) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,10) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(14,10) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(14,10) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,10) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(14,10) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(14,10) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,10) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(14,10) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(14,10) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(14,10) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,10) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,10) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(14,10) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(14,10) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(14,10) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,10) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,10) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(14,10) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,10) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,10) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(14,10) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,10) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,10) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(14,10) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(14,10) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(14,10) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(14,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,10) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,10) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(14,10) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(14,10) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(14,10) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(15,4)unconditionedVariables: "obs(15,4)"
+
+obs(15,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(15,4)FactorTable: """
+obs(15,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(15,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(15,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(15,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(15,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(15,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(15,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(15,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(15,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(15,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(15,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(15,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(15,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(15,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(15,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(15,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(15,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(15,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(15,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(15,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(15,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(15,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(15,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(15,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(15,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(15,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(15,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(15,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(15,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(15,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(15,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(15,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(15,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(15,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(15,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(15,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(15,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(15,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(15,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(15,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(15,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(15,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(15,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(15,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(15,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(15,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(15,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(15,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(14,12)unconditionedVariables: "obs(14,12)"
+
+obs(14,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(14,12)FactorTable: """
+obs(14,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(14,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(14,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(14,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(14,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(14,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(14,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(14,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(14,12) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(14,12) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(14,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(14,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(14,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(14,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(14,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(14,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(14,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(14,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(14,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(14,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(14,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(14,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(14,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(14,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(14,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(14,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(14,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(16,3)unconditionedVariables: "obs(16,3)"
+
+obs(16,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(16,3)FactorTable: """
+obs(16,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(16,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(16,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(16,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(16,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(16,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(16,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(16,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(16,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(16,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(16,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(16,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(16,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(16,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(16,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(16,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(16,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(16,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(16,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(16,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(16,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(16,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(16,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(16,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(16,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(16,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(2,3)unconditionedVariables: "obs(2,3)"
+
+obs(2,3)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,3)FactorTable: """
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.7
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.3
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,3) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(2,3) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,3) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.4
+obs(2,3) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.6
+obs(2,3) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,3) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,3) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,3) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+xPosunconditionedVariables: "xPos"
+
+xPosconditionedVariables: ""
+
+xPosFactorTable: """
+xPos : foodLeft = 0.4
+xPos : ghostLeft = 0.6
+"""
+
+
+obs(4,12)unconditionedVariables: "obs(4,12)"
+
+obs(4,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(4,12)FactorTable: """
+obs(4,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(4,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(4,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(4,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(4,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(4,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(4,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(4,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(4,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(4,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(4,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(4,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(4,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(4,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(4,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(4,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,12) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(4,12) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(4,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(4,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(4,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(4,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(4,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(4,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(4,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(4,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(4,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(4,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(4,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(4,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(4,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(4,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(4,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(4,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(4,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(4,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(4,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(4,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(4,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(4,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(2,11)unconditionedVariables: "obs(2,11)"
+
+obs(2,11)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,11)FactorTable: """
+obs(2,11) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,11) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,11) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,11) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,11) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,11) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,11) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,11) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,11) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,11) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,11) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,11) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,11) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,11) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,11) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,11) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,11) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,11) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,11) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,11) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,11) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,11) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,11) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,11) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,11) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,11) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,11) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,11) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,11) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,11) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,11) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,11) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,11) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,11) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,11) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,11) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,11) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,11) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,11) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,11) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,11) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,11) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,11) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,11) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,11) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,11) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,11) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(14,4)unconditionedVariables: "obs(14,4)"
+
+obs(14,4)conditionedVariables: "ghostHouse foodHouse"
+
+obs(14,4)FactorTable: """
+obs(14,4) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,4) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,4) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(14,4) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,4) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,4) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(14,4) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,4) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,4) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(14,4) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(14,4) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(14,4) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,4) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,4) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,4) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(14,4) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,4) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,4) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(14,4) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,4) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,4) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(14,4) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(14,4) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(14,4) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(14,4) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,4) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,4) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(14,4) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,4) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,4) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(14,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,4) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,4) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(14,4) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(14,4) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(14,4) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,4) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(14,4) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(14,4) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,4) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(14,4) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(14,4) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(14,4) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(14,4) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(14,4) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,4) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(14,4) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(14,4) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+yPosunconditionedVariables: "yPos"
+
+yPosconditionedVariables: ""
+
+yPosFactorTable: """
+yPos : bothTop = 0.18
+yPos : bothBottom = 0.12
+yPos : leftTop = 0.42
+yPos : leftBottom = 0.28
+"""
+
+
+obs(14,2)unconditionedVariables: "obs(14,2)"
+
+obs(14,2)conditionedVariables: "ghostHouse foodHouse"
+
+obs(14,2)FactorTable: """
+obs(14,2) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,2) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(14,2) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(14,2) : blue, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,2) : red, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(14,2) : none, ghostHouse : topRight, foodHouse : topLeft = 1
+obs(14,2) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,2) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(14,2) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(14,2) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.4
+obs(14,2) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.6
+obs(14,2) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(14,2) : blue, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,2) : red, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(14,2) : none, ghostHouse : topLeft, foodHouse : topRight = 1
+obs(14,2) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,2) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(14,2) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(14,2) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,2) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(14,2) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(14,2) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.4
+obs(14,2) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.6
+obs(14,2) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(14,2) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,2) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(14,2) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(14,2) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,2) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(14,2) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(14,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,2) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(14,2) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(14,2) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.4
+obs(14,2) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0.6
+obs(14,2) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(14,2) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.7
+obs(14,2) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.3
+obs(14,2) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(14,2) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.7
+obs(14,2) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.3
+obs(14,2) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(14,2) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.7
+obs(14,2) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0.3
+obs(14,2) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(14,2) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0.7
+obs(14,2) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0.3
+obs(14,2) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+"""
+
+
+obs(2,10)unconditionedVariables: "obs(2,10)"
+
+obs(2,10)conditionedVariables: "ghostHouse foodHouse"
+
+obs(2,10)FactorTable: """
+obs(2,10) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0.7
+obs(2,10) : red, ghostHouse : topLeft, foodHouse : topLeft = 0.3
+obs(2,10) : none, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(2,10) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.7
+obs(2,10) : red, ghostHouse : topRight, foodHouse : topLeft = 0.3
+obs(2,10) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(2,10) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0.7
+obs(2,10) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0.3
+obs(2,10) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(2,10) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0.7
+obs(2,10) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0.3
+obs(2,10) : none, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(2,10) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.4
+obs(2,10) : red, ghostHouse : topLeft, foodHouse : topRight = 0.6
+obs(2,10) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(2,10) : blue, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,10) : red, ghostHouse : topRight, foodHouse : topRight = 0
+obs(2,10) : none, ghostHouse : topRight, foodHouse : topRight = 1
+obs(2,10) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,10) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(2,10) : none, ghostHouse : bottomLeft, foodHouse : topRight = 1
+obs(2,10) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,10) : red, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(2,10) : none, ghostHouse : bottomRight, foodHouse : topRight = 1
+obs(2,10) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0.4
+obs(2,10) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0.6
+obs(2,10) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(2,10) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,10) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(2,10) : none, ghostHouse : topRight, foodHouse : bottomLeft = 1
+obs(2,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,10) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(2,10) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(2,10) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,10) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(2,10) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(2,10) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0.4
+obs(2,10) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0.6
+obs(2,10) : none, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(2,10) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,10) : red, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(2,10) : none, ghostHouse : topRight, foodHouse : bottomRight = 1
+obs(2,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,10) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(2,10) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(2,10) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,10) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(2,10) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(16,12)unconditionedVariables: "obs(16,12)"
+
+obs(16,12)conditionedVariables: "ghostHouse foodHouse"
+
+obs(16,12)FactorTable: """
+obs(16,12) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,12) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,12) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(16,12) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(16,12) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(16,12) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,12) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,12) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,12) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(16,12) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,12) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,12) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(16,12) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(16,12) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(16,12) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,12) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(16,12) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(16,12) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,12) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(16,12) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(16,12) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,12) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(16,12) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(16,12) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(16,12) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,12) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,12) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(16,12) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(16,12) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(16,12) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,12) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,12) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(16,12) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,12) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,12) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(16,12) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,12) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,12) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(16,12) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(16,12) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(16,12) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(16,12) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,12) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,12) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(16,12) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(16,12) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(16,12) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
+
+obs(16,10)unconditionedVariables: "obs(16,10)"
+
+obs(16,10)conditionedVariables: "ghostHouse foodHouse"
+
+obs(16,10)FactorTable: """
+obs(16,10) : blue, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,10) : red, ghostHouse : topLeft, foodHouse : topLeft = 0
+obs(16,10) : none, ghostHouse : topLeft, foodHouse : topLeft = 1
+obs(16,10) : blue, ghostHouse : topRight, foodHouse : topLeft = 0.4
+obs(16,10) : red, ghostHouse : topRight, foodHouse : topLeft = 0.6
+obs(16,10) : none, ghostHouse : topRight, foodHouse : topLeft = 0
+obs(16,10) : blue, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,10) : red, ghostHouse : bottomLeft, foodHouse : topLeft = 0
+obs(16,10) : none, ghostHouse : bottomLeft, foodHouse : topLeft = 1
+obs(16,10) : blue, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,10) : red, ghostHouse : bottomRight, foodHouse : topLeft = 0
+obs(16,10) : none, ghostHouse : bottomRight, foodHouse : topLeft = 1
+obs(16,10) : blue, ghostHouse : topLeft, foodHouse : topRight = 0.7
+obs(16,10) : red, ghostHouse : topLeft, foodHouse : topRight = 0.3
+obs(16,10) : none, ghostHouse : topLeft, foodHouse : topRight = 0
+obs(16,10) : blue, ghostHouse : topRight, foodHouse : topRight = 0.7
+obs(16,10) : red, ghostHouse : topRight, foodHouse : topRight = 0.3
+obs(16,10) : none, ghostHouse : topRight, foodHouse : topRight = 0
+obs(16,10) : blue, ghostHouse : bottomLeft, foodHouse : topRight = 0.7
+obs(16,10) : red, ghostHouse : bottomLeft, foodHouse : topRight = 0.3
+obs(16,10) : none, ghostHouse : bottomLeft, foodHouse : topRight = 0
+obs(16,10) : blue, ghostHouse : bottomRight, foodHouse : topRight = 0.7
+obs(16,10) : red, ghostHouse : bottomRight, foodHouse : topRight = 0.3
+obs(16,10) : none, ghostHouse : bottomRight, foodHouse : topRight = 0
+obs(16,10) : blue, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,10) : red, ghostHouse : topLeft, foodHouse : bottomLeft = 0
+obs(16,10) : none, ghostHouse : topLeft, foodHouse : bottomLeft = 1
+obs(16,10) : blue, ghostHouse : topRight, foodHouse : bottomLeft = 0.4
+obs(16,10) : red, ghostHouse : topRight, foodHouse : bottomLeft = 0.6
+obs(16,10) : none, ghostHouse : topRight, foodHouse : bottomLeft = 0
+obs(16,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,10) : red, ghostHouse : bottomLeft, foodHouse : bottomLeft = 0
+obs(16,10) : none, ghostHouse : bottomLeft, foodHouse : bottomLeft = 1
+obs(16,10) : blue, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,10) : red, ghostHouse : bottomRight, foodHouse : bottomLeft = 0
+obs(16,10) : none, ghostHouse : bottomRight, foodHouse : bottomLeft = 1
+obs(16,10) : blue, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,10) : red, ghostHouse : topLeft, foodHouse : bottomRight = 0
+obs(16,10) : none, ghostHouse : topLeft, foodHouse : bottomRight = 1
+obs(16,10) : blue, ghostHouse : topRight, foodHouse : bottomRight = 0.4
+obs(16,10) : red, ghostHouse : topRight, foodHouse : bottomRight = 0.6
+obs(16,10) : none, ghostHouse : topRight, foodHouse : bottomRight = 0
+obs(16,10) : blue, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,10) : red, ghostHouse : bottomLeft, foodHouse : bottomRight = 0
+obs(16,10) : none, ghostHouse : bottomLeft, foodHouse : bottomRight = 1
+obs(16,10) : blue, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(16,10) : red, ghostHouse : bottomRight, foodHouse : bottomRight = 0
+obs(16,10) : none, ghostHouse : bottomRight, foodHouse : bottomRight = 1
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q2/3-wide-inverted.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/3-wide-inverted.test
new file mode 100644
index 0000000..1349c68
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/3-wide-inverted.test	
@@ -0,0 +1,21 @@
+class: "BayesNetEqualityTest"
+
+layoutName: "wideInvertedBoard"
+layout: """
+%%%%%%%%%%%%%%%%%%%
+%                 %
+%             BRR %
+%             RGB %
+%             R B %
+%                 %
+%                 %
+%                 %
+%                 %
+%                 %
+% BBB             %
+% R.B             %
+% B B             %
+%P                %
+%%%%%%%%%%%%%%%%%%%
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q2/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/CONFIG
new file mode 100644
index 0000000..ad7e38a
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q2/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/1-product-rule.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/1-product-rule.solution
new file mode 100644
index 0000000..25ea8e6
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/1-product-rule.solution	
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q3/1-product-rule.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+"""
+
+unconditionedVariables: "D W"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet, W : sun = 0.08
+D : dry, W : sun = 0.72
+D : wet, W : rain = 0.14
+D : dry, W : rain = 0.06
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/1-product-rule.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/1-product-rule.test
new file mode 100644
index 0000000..06d2cdf
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/1-product-rule.test	
@@ -0,0 +1,36 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D"
+
+AconditionedVariables: "W"
+
+AFactorTable: """
+D : wet, W : sun = 0.1
+D : dry, W : sun = 0.9
+D : wet, W : rain = 0.7
+D : dry, W : rain = 0.3
+"""
+
+
+BunconditionedVariables: "W"
+
+BconditionedVariables: ""
+
+BFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/2-product-rule-extended.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/2-product-rule-extended.solution
new file mode 100644
index 0000000..c171c2c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/2-product-rule-extended.solution	
@@ -0,0 +1,23 @@
+# This is the solution file for test_cases/q3/2-product-rule-extended.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+T : cold hot
+"""
+
+unconditionedVariables: "D W T"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet, W : sun, T : cold = 0.02
+D : dry, W : sun, T : cold = 0.18
+D : wet, W : rain, T : cold = 0.126
+D : dry, W : rain, T : cold = 0.054
+D : wet, W : sun, T : hot = 0.06
+D : dry, W : sun, T : hot = 0.54
+D : wet, W : rain, T : hot = 0.014
+D : dry, W : rain, T : hot = 0.006
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/2-product-rule-extended.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/2-product-rule-extended.test
new file mode 100644
index 0000000..b1d7fba
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/2-product-rule-extended.test	
@@ -0,0 +1,49 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B C"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+T : cold hot
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D"
+
+AconditionedVariables: "W"
+
+AFactorTable: """
+D : wet, W : sun = 0.1
+D : dry, W : sun = 0.9
+D : wet, W : rain = 0.7
+D : dry, W : rain = 0.3
+"""
+
+
+CunconditionedVariables: "T"
+
+CconditionedVariables: "W"
+
+CFactorTable: """
+T : cold, W : sun = 0.25
+T : hot, W : sun = 0.75
+T : cold, W : rain = 0.9
+T : hot, W : rain = 0.1
+"""
+
+
+BunconditionedVariables: "W"
+
+BconditionedVariables: ""
+
+BFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/3-disjoint-right.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/3-disjoint-right.solution
new file mode 100644
index 0000000..0884f43
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/3-disjoint-right.solution	
@@ -0,0 +1,113 @@
+# This is the solution file for test_cases/q3/3-disjoint-right.test.
+variableDomainsDict: """
+Q : singleEntryForThisVariable
+M : l m n o
+L : 0 1 2
+O : help! me! I'mTrapped InaBayesNet
+N : -10.5 1.34
+"""
+
+unconditionedVariables: "M L N"
+
+conditionedVariables: "Q O"
+
+FactorTable: """
+M : l, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.258330124403
+M : m, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.104734692091
+M : n, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0377614688681
+M : o, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0
+M : l, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.172735794206
+M : m, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0125717596017
+M : n, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0638957615356
+M : o, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0667905852913
+M : l, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0
+M : m, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0391473894072
+M : n, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.191710903684
+M : o, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : help! = 0.0523215209113
+M : l, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : m, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : n, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : o, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : l, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : m, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : n, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : o, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : l, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : m, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : n, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : o, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : help! = 0.0
+M : l, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.145578766133
+M : m, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0590219482964
+M : n, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0212800116049
+M : o, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0
+M : l, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0973431335025
+M : m, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.00708466058755
+M : n, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0360076709868
+M : o, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0376390133302
+M : l, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0
+M : m, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0220610300885
+M : n, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.108036323201
+M : o, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : me! = 0.0294851499571
+M : l, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.11275135827
+M : m, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0457127437946
+M : n, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0164814572632
+M : o, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0
+M : l, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0753926607035
+M : m, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.00548709901415
+M : n, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0278880905488
+M : o, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0291515719611
+M : l, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0
+M : m, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0170863593187
+M : n, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0836745804831
+M : o, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : me! = 0.0228363709542
+M : l, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.195574976701
+M : m, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0792918944811
+M : n, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0285882198645
+M : o, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0
+M : l, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.130773749307
+M : m, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0095177501922
+M : n, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0483738089101
+M : o, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0505654042182
+M : l, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0
+M : m, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0296374640352
+M : n, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.145139308116
+M : o, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0396112542307
+M : l, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0627551477024
+M : m, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0254427976099
+M : n, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.00917324900359
+M : o, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0
+M : l, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0419620448987
+M : m, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0030540094095
+M : n, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0155219526255
+M : o, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0162251810731
+M : l, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0
+M : m, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.009509925372
+M : n, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0465715955685
+M : o, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : I'mTrapped = 0.0127102666806
+M : l, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.135144264696
+M : m, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0547914920242
+M : n, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0197547458154
+M : o, L : 0, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0
+M : l, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0903659685399
+M : m, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.00657686056258
+M : n, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0334267857065
+M : o, L : 1, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0349411999808
+M : l, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0
+M : m, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.02047978403
+M : n, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.100292713335
+M : o, L : 2, N : -10.5, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0273717727954
+M : l, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.123185859707
+M : m, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0499432000668
+M : n, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0180067230527
+M : o, L : 0, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0
+M : l, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0823698256661
+M : m, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.00599489903912
+M : n, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0304689758291
+M : o, L : 1, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0318493853105
+M : l, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0
+M : m, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0186676053772
+M : n, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0914181903486
+M : o, L : 2, N : 1.34, Q : singleEntryForThisVariable, O : InaBayesNet = 0.0249497481159
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/3-disjoint-right.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/3-disjoint-right.test
new file mode 100644
index 0000000..8a3061d
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/3-disjoint-right.test	
@@ -0,0 +1,53 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L : 0 1 2
+M : l m n o
+N : -10.5 1.34
+O : help! me! I'mTrapped InaBayesNet
+Q : singleEntryForThisVariable
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "M L"
+
+AconditionedVariables: "Q"
+
+AFactorTable: """
+L : 0, M : l, Q : singleEntryForThisVariable = 0.258330124403
+L : 1, M : l, Q : singleEntryForThisVariable = 0.172735794206
+L : 2, M : l, Q : singleEntryForThisVariable = 0.0
+L : 0, M : m, Q : singleEntryForThisVariable = 0.104734692091
+L : 1, M : m, Q : singleEntryForThisVariable = 0.0125717596017
+L : 2, M : m, Q : singleEntryForThisVariable = 0.0391473894072
+L : 0, M : n, Q : singleEntryForThisVariable = 0.0377614688681
+L : 1, M : n, Q : singleEntryForThisVariable = 0.0638957615356
+L : 2, M : n, Q : singleEntryForThisVariable = 0.191710903684
+L : 0, M : o, Q : singleEntryForThisVariable = 0.0
+L : 1, M : o, Q : singleEntryForThisVariable = 0.0667905852913
+L : 2, M : o, Q : singleEntryForThisVariable = 0.0523215209113
+"""
+
+
+BunconditionedVariables: "N"
+
+BconditionedVariables: "O"
+
+BFactorTable: """
+N : -10.5, O : help! = 1.0
+N : 1.34, O : help! = 0.0
+N : -10.5, O : me! = 0.563537707688
+N : 1.34, O : me! = 0.436462292312
+N : -10.5, O : I'mTrapped = 0.757073830056
+N : 1.34, O : I'mTrapped = 0.242926169944
+N : -10.5, O : InaBayesNet = 0.523145587487
+N : 1.34, O : InaBayesNet = 0.476854412513
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/4-common-right.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/4-common-right.solution
new file mode 100644
index 0000000..741f53f
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/4-common-right.solution	
@@ -0,0 +1,113 @@
+# This is the solution file for test_cases/q3/4-common-right.test.
+variableDomainsDict: """
+Q1 : myNameHasMoreThanOneLetter
+N1 : -10.5 1.34
+M1 : l m n o
+O1 : help! me! I'mTrapped InaBayesNet
+L1 : 0 1 2
+"""
+
+unconditionedVariables: "Q1 N1 M1 L1"
+
+conditionedVariables: "O1"
+
+FactorTable: """
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 0, O1 : help! = 0.0396781584597
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 0, O1 : help! = 0.218651965943
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 0, O1 : help! = 0.0160867019231
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 0, O1 : help! = 0.0886479901679
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 0, O1 : help! = 0.00579996447911
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 0, O1 : help! = 0.031961504389
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 0, O1 : help! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 0, O1 : help! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 1, O1 : help! = 0.0265313161986
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 1, O1 : help! = 0.146204478007
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 1, O1 : help! = 0.00193095664219
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 1, O1 : help! = 0.0106408029595
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 1, O1 : help! = 0.0098140553951
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 1, O1 : help! = 0.0540817061405
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 1, O1 : help! = 0.0102586852111
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 1, O1 : help! = 0.0565319000802
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 2, O1 : help! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 2, O1 : help! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 2, O1 : help! = 0.00601283463852
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 2, O1 : help! = 0.0331345547687
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 2, O1 : help! = 0.0294457939523
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 2, O1 : help! = 0.162265109732
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 2, O1 : help! = 0.00803631246015
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 2, O1 : help! = 0.0442852084511
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 0, O1 : me! = 0.159661284861
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 0, O1 : me! = 0.062484977125
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 0, O1 : me! = 0.048394873988
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 0, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 1, O1 : me! = 0.110637840267
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 1, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 1, O1 : me! = 0.0355009323002
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 1, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 1, O1 : me! = 0.144114059443
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 1, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 1, O1 : me! = 0.131361951232
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 1, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 2, O1 : me! = 0.062692626321
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 2, O1 : me! = 0.130648517392
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 2, O1 : me! = 0.11450293707
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 2, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 0, O1 : I'mTrapped = 0.158525600787
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 0, O1 : I'mTrapped = 0.106254735008
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 0, O1 : I'mTrapped = 0.100800788457
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 0, O1 : I'mTrapped = 0.0675636049505
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 0, O1 : I'mTrapped = 0.0987735573681
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 0, O1 : I'mTrapped = 0.0662048155749
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 0, O1 : I'mTrapped = 0.0263411253275
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 0, O1 : I'mTrapped = 0.017655629612
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 1, O1 : I'mTrapped = 0.0097691504527
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 1, O1 : I'mTrapped = 0.0065479549515
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 1, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 1, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 1, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 1, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 1, O1 : I'mTrapped = 0.0442852566048
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 1, O1 : I'mTrapped = 0.029683017645
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 2, O1 : I'mTrapped = 0.0445155280707
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 2, O1 : I'mTrapped = 0.0298373613816
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 2, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 2, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 2, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 2, O1 : I'mTrapped = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 2, O1 : I'mTrapped = 0.115695087593
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 2, O1 : I'mTrapped = 0.077546786216
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 0, O1 : InaBayesNet = 0.134402798029
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 0, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 0, O1 : InaBayesNet = 0.118127348229
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 0, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 0, O1 : InaBayesNet = 0.036009670999
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 0, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 0, O1 : InaBayesNet = 0.112024611449
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 0, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 1, O1 : InaBayesNet = 0.0773037189897
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 1, O1 : InaBayesNet = 0.143223151678
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 1, O1 : InaBayesNet = 0.0865755172268
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 1, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : l, L1 : 2, O1 : InaBayesNet = 0.143496852294
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : l, L1 : 2, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : m, L1 : 2, O1 : InaBayesNet = 0.0132562954964
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : m, L1 : 2, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : n, L1 : 2, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : n, L1 : 2, O1 : InaBayesNet = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, M1 : o, L1 : 2, O1 : InaBayesNet = 0.135580035609
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, M1 : o, L1 : 2, O1 : InaBayesNet = 0.0
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/4-common-right.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/4-common-right.test
new file mode 100644
index 0000000..64ec02b
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/4-common-right.test	
@@ -0,0 +1,162 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L1 : 0 1 2
+M1 : l m n o
+N1 : -10.5 1.34
+O1 : help! me! I'mTrapped InaBayesNet
+Q1 : myNameHasMoreThanOneLetter
+"""
+
+# endO1fN1onFactors
+
+AunconditionedVariables: "L1 M1"
+
+AconditionedVariables: "O1"
+
+AFactorTable: """
+L1 : 0, M1 : l, O1 : help! = 0.258330124403
+L1 : 1, M1 : l, O1 : help! = 0.172735794206
+L1 : 2, M1 : l, O1 : help! = 0.0
+L1 : 0, M1 : m, O1 : help! = 0.104734692091
+L1 : 1, M1 : m, O1 : help! = 0.0125717596017
+L1 : 2, M1 : m, O1 : help! = 0.0391473894072
+L1 : 0, M1 : n, O1 : help! = 0.0377614688681
+L1 : 1, M1 : n, O1 : help! = 0.0638957615356
+L1 : 2, M1 : n, O1 : help! = 0.191710903684
+L1 : 0, M1 : o, O1 : help! = 0.0
+L1 : 1, M1 : o, O1 : help! = 0.0667905852913
+L1 : 2, M1 : o, O1 : help! = 0.0523215209113
+L1 : 0, M1 : l, O1 : me! = 0.159661284861
+L1 : 1, M1 : l, O1 : me! = 0.110637840267
+L1 : 2, M1 : l, O1 : me! = 0.062692626321
+L1 : 0, M1 : m, O1 : me! = 0.0
+L1 : 1, M1 : m, O1 : me! = 0.0355009323002
+L1 : 2, M1 : m, O1 : me! = 0.0
+L1 : 0, M1 : n, O1 : me! = 0.062484977125
+L1 : 1, M1 : n, O1 : me! = 0.144114059443
+L1 : 2, M1 : n, O1 : me! = 0.130648517392
+L1 : 0, M1 : o, O1 : me! = 0.048394873988
+L1 : 1, M1 : o, O1 : me! = 0.131361951232
+L1 : 2, M1 : o, O1 : me! = 0.11450293707
+L1 : 0, M1 : l, O1 : I'mTrapped = 0.264780335795
+L1 : 1, M1 : l, O1 : I'mTrapped = 0.0163171054042
+L1 : 2, M1 : l, O1 : I'mTrapped = 0.0743528894523
+L1 : 0, M1 : m, O1 : I'mTrapped = 0.168364393407
+L1 : 1, M1 : m, O1 : I'mTrapped = 0.0
+L1 : 2, M1 : m, O1 : I'mTrapped = 0.0
+L1 : 0, M1 : n, O1 : I'mTrapped = 0.164978372943
+L1 : 1, M1 : n, O1 : I'mTrapped = 0.0
+L1 : 2, M1 : n, O1 : I'mTrapped = 0.0
+L1 : 0, M1 : o, O1 : I'mTrapped = 0.0439967549395
+L1 : 1, M1 : o, O1 : I'mTrapped = 0.0739682742498
+L1 : 2, M1 : o, O1 : I'mTrapped = 0.193241873809
+L1 : 0, M1 : l, O1 : InaBayesNet = 0.134402798029
+L1 : 1, M1 : l, O1 : InaBayesNet = 0.0773037189897
+L1 : 2, M1 : l, O1 : InaBayesNet = 0.143496852294
+L1 : 0, M1 : m, O1 : InaBayesNet = 0.118127348229
+L1 : 1, M1 : m, O1 : InaBayesNet = 0.143223151678
+L1 : 2, M1 : m, O1 : InaBayesNet = 0.0132562954964
+L1 : 0, M1 : n, O1 : InaBayesNet = 0.036009670999
+L1 : 1, M1 : n, O1 : InaBayesNet = 0.0
+L1 : 2, M1 : n, O1 : InaBayesNet = 0.0
+L1 : 0, M1 : o, O1 : InaBayesNet = 0.112024611449
+L1 : 1, M1 : o, O1 : InaBayesNet = 0.0865755172268
+L1 : 2, M1 : o, O1 : InaBayesNet = 0.135580035609
+"""
+
+
+BunconditionedVariables: "Q1 N1"
+
+BconditionedVariables: "O1"
+
+BFactorTable: """
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : help! = 0.15359477936
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : help! = 0.84640522064
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : me! = 1.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : I'mTrapped = 0.59870609466
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : I'mTrapped = 0.40129390534
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : InaBayesNet = 1.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : InaBayesNet = 0.0
+"""
+
+
+
+AunconditionedVariables: "M1 L1"
+
+AconditionedVariables: "O1"
+
+AFactorTable: """
+L1 : 0, M1 : l, O1 : help! = 0.258330124403
+L1 : 1, M1 : l, O1 : help! = 0.172735794206
+L1 : 2, M1 : l, O1 : help! = 0.0
+L1 : 0, M1 : m, O1 : help! = 0.104734692091
+L1 : 1, M1 : m, O1 : help! = 0.0125717596017
+L1 : 2, M1 : m, O1 : help! = 0.0391473894072
+L1 : 0, M1 : n, O1 : help! = 0.0377614688681
+L1 : 1, M1 : n, O1 : help! = 0.0638957615356
+L1 : 2, M1 : n, O1 : help! = 0.191710903684
+L1 : 0, M1 : o, O1 : help! = 0.0
+L1 : 1, M1 : o, O1 : help! = 0.0667905852913
+L1 : 2, M1 : o, O1 : help! = 0.0523215209113
+L1 : 0, M1 : l, O1 : me! = 0.159661284861
+L1 : 1, M1 : l, O1 : me! = 0.110637840267
+L1 : 2, M1 : l, O1 : me! = 0.062692626321
+L1 : 0, M1 : m, O1 : me! = 0.0
+L1 : 1, M1 : m, O1 : me! = 0.0355009323002
+L1 : 2, M1 : m, O1 : me! = 0.0
+L1 : 0, M1 : n, O1 : me! = 0.062484977125
+L1 : 1, M1 : n, O1 : me! = 0.144114059443
+L1 : 2, M1 : n, O1 : me! = 0.130648517392
+L1 : 0, M1 : o, O1 : me! = 0.048394873988
+L1 : 1, M1 : o, O1 : me! = 0.131361951232
+L1 : 2, M1 : o, O1 : me! = 0.11450293707
+L1 : 0, M1 : l, O1 : I'mTrapped = 0.264780335795
+L1 : 1, M1 : l, O1 : I'mTrapped = 0.0163171054042
+L1 : 2, M1 : l, O1 : I'mTrapped = 0.0743528894523
+L1 : 0, M1 : m, O1 : I'mTrapped = 0.168364393407
+L1 : 1, M1 : m, O1 : I'mTrapped = 0.0
+L1 : 2, M1 : m, O1 : I'mTrapped = 0.0
+L1 : 0, M1 : n, O1 : I'mTrapped = 0.164978372943
+L1 : 1, M1 : n, O1 : I'mTrapped = 0.0
+L1 : 2, M1 : n, O1 : I'mTrapped = 0.0
+L1 : 0, M1 : o, O1 : I'mTrapped = 0.0439967549395
+L1 : 1, M1 : o, O1 : I'mTrapped = 0.0739682742498
+L1 : 2, M1 : o, O1 : I'mTrapped = 0.193241873809
+L1 : 0, M1 : l, O1 : InaBayesNet = 0.134402798029
+L1 : 1, M1 : l, O1 : InaBayesNet = 0.0773037189897
+L1 : 2, M1 : l, O1 : InaBayesNet = 0.143496852294
+L1 : 0, M1 : m, O1 : InaBayesNet = 0.118127348229
+L1 : 1, M1 : m, O1 : InaBayesNet = 0.143223151678
+L1 : 2, M1 : m, O1 : InaBayesNet = 0.0132562954964
+L1 : 0, M1 : n, O1 : InaBayesNet = 0.036009670999
+L1 : 1, M1 : n, O1 : InaBayesNet = 0.0
+L1 : 2, M1 : n, O1 : InaBayesNet = 0.0
+L1 : 0, M1 : o, O1 : InaBayesNet = 0.112024611449
+L1 : 1, M1 : o, O1 : InaBayesNet = 0.0865755172268
+L1 : 2, M1 : o, O1 : InaBayesNet = 0.135580035609
+"""
+
+
+BunconditionedVariables: "Q1 N1"
+
+BconditionedVariables: "O1"
+
+BFactorTable: """
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : help! = 0.15359477936
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : help! = 0.84640522064
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : me! = 1.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : me! = 0.0
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : I'mTrapped = 0.59870609466
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : I'mTrapped = 0.40129390534
+Q1 : myNameHasMoreThanOneLetter, N1 : -10.5, O1 : InaBayesNet = 1.0
+Q1 : myNameHasMoreThanOneLetter, N1 : 1.34, O1 : InaBayesNet = 0.0
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/5-grade-join.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/5-grade-join.solution
new file mode 100644
index 0000000..aa50497
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/5-grade-join.solution	
@@ -0,0 +1,113 @@
+# This is the solution file for test_cases/q3/5-grade-join.test.
+variableDomainsDict: """
+Q : singleEntryForThisVariable
+M : l m n o
+L : 0 1 2
+O : help! me! I'mTrapped InaBayesNet
+N : -10.5 1.34
+"""
+
+unconditionedVariables: "M L O N"
+
+conditionedVariables: "Q"
+
+FactorTable: """
+M : l, L : 0, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 0, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 1, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 1, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.00639608303801
+M : n, L : 1, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0176575414931
+M : o, L : 1, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.00296557788646
+M : l, L : 2, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0135133823856
+M : m, L : 2, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0307889341341
+M : n, L : 2, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0264097152778
+M : o, L : 2, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0490236571006
+M : l, L : 0, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.007715630127
+M : m, L : 0, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.00217909337527
+M : n, L : 0, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.00678551130624
+M : o, L : 0, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 1, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0107669094141
+M : m, L : 1, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : n, L : 1, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0305996504641
+M : o, L : 1, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 2, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0322681088037
+M : n, L : 2, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : o, L : 2, O : me!, N : -10.5, Q : singleEntryForThisVariable = 5.28535267952e-05
+M : l, L : 0, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.00654528636072
+M : m, L : 0, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0332297127389
+M : o, L : 0, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0189507724124
+M : l, L : 1, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0437076697087
+M : m, L : 1, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0242173380091
+M : n, L : 1, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0243844055398
+M : o, L : 1, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 2, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.00685766769793
+M : n, L : 2, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : o, L : 2, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : l, L : 0, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : m, L : 0, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.00646248211554
+M : n, L : 0, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0020683816771
+M : l, L : 1, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0208613118848
+M : m, L : 1, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0347270528183
+M : n, L : 1, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.00282752151891
+M : o, L : 1, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.013443479893
+M : l, L : 2, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0242099453272
+M : m, L : 2, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0382716139813
+M : n, L : 2, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.00599572506557
+M : o, L : 2, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0335505363489
+M : l, L : 0, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.00746874052442
+M : m, L : 0, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.024671121071
+M : n, L : 0, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0242600514229
+M : l, L : 1, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0170706440325
+M : m, L : 1, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.00415780764838
+M : n, L : 1, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0274809888983
+M : o, L : 1, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 2, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 2, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 2, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 0, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0236650880181
+M : m, L : 0, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 1, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 1, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 1, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 1, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.00282788161527
+M : m, L : 2, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.00355557777586
+M : n, L : 2, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.025527974888
+M : o, L : 2, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0488393325071
+M : l, L : 0, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 0, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 1, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 1, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.00217872982558
+M : n, L : 1, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 1, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0161232920219
+M : l, L : 2, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0208377342581
+M : m, L : 2, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0212182372623
+M : n, L : 2, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0082921520866
+M : o, L : 2, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 0, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : m, L : 0, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 0, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : o, L : 0, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.035358138402
+M : l, L : 1, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0048170873596
+M : m, L : 1, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 1, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0313228366687
+M : o, L : 1, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : l, L : 2, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0168964348
+M : m, L : 2, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+M : n, L : 2, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.039032224516
+M : o, L : 2, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0123590383624
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/5-grade-join.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/5-grade-join.test
new file mode 100644
index 0000000..4910e77
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/5-grade-join.test	
@@ -0,0 +1,225 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L : 0 1 2
+M : l m n o
+N : -10.5 1.34
+O : help! me! I'mTrapped InaBayesNet
+Q : singleEntryForThisVariable
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "M L O"
+
+AconditionedVariables: "Q N"
+
+AFactorTable: """
+L : 0, M : l, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0447769827421
+L : 1, M : l, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0335548259369
+L : 2, M : l, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0135133823856
+L : 0, M : m, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0299407113048
+L : 1, M : m, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0190137493524
+L : 2, M : m, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0459168029028
+L : 0, M : n, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 1, M : n, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0481229169727
+L : 2, M : n, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0264097152778
+L : 0, M : o, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0484229139817
+L : 1, M : o, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.00296557788646
+L : 2, M : o, O : help!, N : -10.5, Q : singleEntryForThisVariable = 0.0490236571006
+L : 0, M : l, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0181539164706
+L : 1, M : l, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0107669094141
+L : 2, M : l, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 0, M : m, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.00217909337527
+L : 1, M : m, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 2, M : m, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0403565271376
+L : 0, M : n, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.00678551130624
+L : 1, M : n, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0305996504641
+L : 2, M : n, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0489301511809
+L : 0, M : o, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 1, M : o, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 2, M : o, O : me!, N : -10.5, Q : singleEntryForThisVariable = 0.0045288246707
+L : 0, M : l, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.00654528636072
+L : 1, M : l, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0437076697087
+L : 2, M : l, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 0, M : m, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0110752062624
+L : 1, M : m, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0396237693127
+L : 2, M : m, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0123021915473
+L : 0, M : n, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0332297127389
+L : 1, M : n, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0299842528698
+L : 2, M : n, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 0, M : o, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0189507724124
+L : 1, M : o, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 2, M : o, O : I'mTrapped, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 0, M : l, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0
+L : 1, M : l, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.039840143279
+L : 2, M : l, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0351210471164
+L : 0, M : m, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0115769730372
+L : 1, M : m, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0347270528183
+L : 2, M : m, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0382716139813
+L : 0, M : n, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0090690152544
+L : 1, M : n, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.00799625915824
+L : 2, M : n, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0295772931739
+L : 0, M : o, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0146774518464
+L : 1, M : o, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.013443479893
+L : 2, M : o, O : InaBayesNet, N : -10.5, Q : singleEntryForThisVariable = 0.0463189893654
+L : 0, M : l, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.00746874052442
+L : 1, M : l, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0170706440325
+L : 2, M : l, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0125889576289
+L : 0, M : m, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.024671121071
+L : 1, M : m, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.00626546229009
+L : 2, M : m, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 0, M : n, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0246502130155
+L : 1, M : n, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0434087985544
+L : 2, M : n, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0128190936074
+L : 0, M : o, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0242600514229
+L : 1, M : o, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.0038706658879
+L : 2, M : o, O : help!, N : 1.34, Q : singleEntryForThisVariable = 0.000564853924528
+L : 0, M : l, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0411575250006
+L : 1, M : l, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : l, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0293529082434
+L : 0, M : m, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0165362781706
+L : 1, M : m, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.026525369977
+L : 2, M : m, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0177402756729
+L : 0, M : n, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0488609903771
+L : 1, M : n, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0072654289765
+L : 2, M : n, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.025527974888
+L : 0, M : o, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0391811589986
+L : 1, M : o, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : o, O : me!, N : 1.34, Q : singleEntryForThisVariable = 0.0494160410886
+L : 0, M : l, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0552756677955
+L : 1, M : l, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : l, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0321280167988
+L : 0, M : m, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : m, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.005603470804
+L : 2, M : m, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0479437369214
+L : 0, M : n, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : n, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : n, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0302095703475
+L : 0, M : o, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0227207214722
+L : 1, M : o, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0161232920219
+L : 2, M : o, O : I'mTrapped, N : 1.34, Q : singleEntryForThisVariable = 0.0151621127433
+L : 0, M : l, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : l, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0101119740519
+L : 2, M : l, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0543868524166
+L : 0, M : m, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : m, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0379246424001
+L : 2, M : m, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.00980121226356
+L : 0, M : n, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 1, M : n, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0484577738418
+L : 2, M : n, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0489563519456
+L : 0, M : o, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0411582588411
+L : 1, M : o, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.0
+L : 2, M : o, O : InaBayesNet, N : 1.34, Q : singleEntryForThisVariable = 0.044833791982
+"""
+
+
+BunconditionedVariables: "N"
+
+BconditionedVariables: "Q M L O"
+
+BFactorTable: """
+N : -10.5, L : 0, M : l, O : help!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : l, O : help!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : l, O : help!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 1, M : l, O : help!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 2, M : l, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : l, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : m, O : help!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : m, O : help!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : m, O : help!, Q : singleEntryForThisVariable = 0.33639251888
+N : 1.34, L : 1, M : m, O : help!, Q : singleEntryForThisVariable = 0.66360748112
+N : -10.5, L : 2, M : m, O : help!, Q : singleEntryForThisVariable = 0.670537410876
+N : 1.34, L : 2, M : m, O : help!, Q : singleEntryForThisVariable = 0.329462589124
+N : -10.5, L : 0, M : n, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : n, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : n, O : help!, Q : singleEntryForThisVariable = 0.366925835005
+N : 1.34, L : 1, M : n, O : help!, Q : singleEntryForThisVariable = 0.633074164995
+N : -10.5, L : 2, M : n, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : n, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : o, O : help!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : o, O : help!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : o, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : o, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : o, O : help!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : o, O : help!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : l, O : me!, Q : singleEntryForThisVariable = 0.425011877712
+N : 1.34, L : 0, M : l, O : me!, Q : singleEntryForThisVariable = 0.574988122288
+N : -10.5, L : 1, M : l, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : l, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : l, O : me!, Q : singleEntryForThisVariable = 0.903659235677
+N : 1.34, L : 2, M : l, O : me!, Q : singleEntryForThisVariable = 0.0963407643231
+N : -10.5, L : 0, M : m, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : m, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : m, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : m, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : m, O : me!, Q : singleEntryForThisVariable = 0.799575956912
+N : 1.34, L : 2, M : m, O : me!, Q : singleEntryForThisVariable = 0.200424043088
+N : -10.5, L : 0, M : n, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : n, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : n, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : n, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : n, O : me!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 2, M : n, O : me!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 0, M : o, O : me!, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : o, O : me!, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : o, O : me!, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 1, M : o, O : me!, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 2, M : o, O : me!, Q : singleEntryForThisVariable = 0.0116704731665
+N : 1.34, L : 2, M : o, O : me!, Q : singleEntryForThisVariable = 0.988329526833
+N : -10.5, L : 0, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 0.351415482985
+N : 1.34, L : 2, M : l, O : I'mTrapped, Q : singleEntryForThisVariable = 0.648584517015
+N : -10.5, L : 0, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.611182086641
+N : 1.34, L : 1, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.388817913359
+N : -10.5, L : 2, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.5574346385
+N : 1.34, L : 2, M : m, O : I'mTrapped, Q : singleEntryForThisVariable = 0.4425653615
+N : -10.5, L : 0, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.813240391404
+N : 1.34, L : 1, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.186759608596
+N : -10.5, L : 2, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.725512412417
+N : 1.34, L : 2, M : n, O : I'mTrapped, Q : singleEntryForThisVariable = 0.274487587583
+N : -10.5, L : 0, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 0, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 1, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 1, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 2, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : o, O : I'mTrapped, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.493094921153
+N : 1.34, L : 0, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.506905078847
+N : -10.5, L : 1, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.523625423199
+N : 1.34, L : 1, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.476374576801
+N : -10.5, L : 2, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.689328687923
+N : 1.34, L : 2, M : l, O : InaBayesNet, Q : singleEntryForThisVariable = 0.310671312077
+N : -10.5, L : 0, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 0.558218637529
+N : 1.34, L : 0, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 0.441781362471
+N : -10.5, L : 1, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 2, M : m, O : InaBayesNet, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 0, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.0
+N : 1.34, L : 0, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 1.0
+N : -10.5, L : 1, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.353605537659
+N : 1.34, L : 1, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.646394462341
+N : -10.5, L : 2, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.202713785549
+N : 1.34, L : 2, M : n, O : InaBayesNet, Q : singleEntryForThisVariable = 0.797286214451
+N : -10.5, L : 0, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.140922395709
+N : 1.34, L : 0, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.859077604291
+N : -10.5, L : 1, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 1.0
+N : 1.34, L : 1, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.0
+N : -10.5, L : 2, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.724336536883
+N : 1.34, L : 2, M : o, O : InaBayesNet, Q : singleEntryForThisVariable = 0.275663463117
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/6-product-rule-nonsingleton-var.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/6-product-rule-nonsingleton-var.solution
new file mode 100644
index 0000000..af3831f
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/6-product-rule-nonsingleton-var.solution	
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q3/6-product-rule-nonsingleton-var.test.
+variableDomainsDict: """
+D0 : wet dry
+W0 : sun rain
+"""
+
+unconditionedVariables: "D0 W0"
+
+conditionedVariables: ""
+
+FactorTable: """
+D0 : wet, W0 : sun = 0.08
+D0 : dry, W0 : sun = 0.72
+D0 : wet, W0 : rain = 0.14
+D0 : dry, W0 : rain = 0.06
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/6-product-rule-nonsingleton-var.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/6-product-rule-nonsingleton-var.test
new file mode 100644
index 0000000..9b3abbe
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/6-product-rule-nonsingleton-var.test	
@@ -0,0 +1,36 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "joinFactors"
+factorArgs: "A B"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+W0 : sun rain
+D0 : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D0"
+
+AconditionedVariables: "W0"
+
+AFactorTable: """
+D0 : wet, W0 : sun = 0.1
+D0 : dry, W0 : sun = 0.9
+D0 : wet, W0 : rain = 0.7
+D0 : dry, W0 : rain = 0.3
+"""
+
+
+BunconditionedVariables: "W0"
+
+BconditionedVariables: ""
+
+BFactorTable: """
+W0 : sun = 0.8
+W0 : rain = 0.2
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q3/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/CONFIG
new file mode 100644
index 0000000..a5adc3f
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q3/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/1-simple-eliminate.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/1-simple-eliminate.solution
new file mode 100644
index 0000000..c992ba2
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/1-simple-eliminate.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q4/1-simple-eliminate.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+"""
+
+unconditionedVariables: "D"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet = 0.22
+D : dry = 0.78
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/1-simple-eliminate.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/1-simple-eliminate.test
new file mode 100644
index 0000000..4f8a761
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/1-simple-eliminate.test	
@@ -0,0 +1,26 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "W"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun = 0.08
+D : dry, W : sun = 0.72
+D : wet, W : rain = 0.14
+D : dry, W : rain = 0.06
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/2-simple-eliminate-extended.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/2-simple-eliminate-extended.solution
new file mode 100644
index 0000000..894246c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/2-simple-eliminate-extended.solution	
@@ -0,0 +1,19 @@
+# This is the solution file for test_cases/q4/2-simple-eliminate-extended.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+T : hot cold
+"""
+
+unconditionedVariables: "D W"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet, W : sun = 0.08
+D : dry, W : sun = 0.72
+D : wet, W : rain = 0.14
+D : dry, W : rain = 0.06
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/2-simple-eliminate-extended.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/2-simple-eliminate-extended.test
new file mode 100644
index 0000000..c31a265
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/2-simple-eliminate-extended.test	
@@ -0,0 +1,31 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "T"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+T : hot cold
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W T"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun, T : hot = 0.06
+D : dry, W : sun, T : hot = 0.54
+D : wet, W : rain, T : hot = 0.014
+D : dry, W : rain, T : hot = 0.006
+D : wet, W : sun, T : cold = 0.02
+D : dry, W : sun, T : cold = 0.18
+D : wet, W : rain, T : cold = 0.126
+D : dry, W : rain, T : cold = 0.054
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/3-eliminate-conditioned.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/3-eliminate-conditioned.solution
new file mode 100644
index 0000000..ba00f25
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/3-eliminate-conditioned.solution	
@@ -0,0 +1,24 @@
+# This is the solution file for test_cases/q4/3-eliminate-conditioned.test.
+variableDomainsDict: """
+B : wind breeze still
+D : wet dry
+W : sun rain
+T : hot cold
+"""
+
+unconditionedVariables: "T W"
+
+conditionedVariables: "D"
+
+FactorTable: """
+T : hot, W : sun, D : wet = 0.431065918609
+T : cold, W : sun, D : wet = 0.1564538411
+T : hot, W : rain, D : wet = 0.293368134088
+T : cold, W : rain, D : wet = 0.119112106203
+T : hot, W : sun, D : dry = 0.332991751449
+T : cold, W : sun, D : dry = 0.0355009323002
+T : hot, W : rain, D : dry = 0.33724755396
+T : cold, W : rain, D : dry = 0.29425976229
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/3-eliminate-conditioned.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/3-eliminate-conditioned.test
new file mode 100644
index 0000000..7cdce16
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/3-eliminate-conditioned.test	
@@ -0,0 +1,48 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "B"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+T : hot cold
+B : wind breeze still
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "B T W"
+
+AconditionedVariables: "D"
+
+AFactorTable: """
+B : wind, W : sun, T : hot, D : wet = 0.258330124403
+B : breeze, W : sun, T : hot, D : wet = 0.172735794206
+B : still, W : sun, T : hot, D : wet = 0.0
+B : wind, W : rain, T : hot, D : wet = 0.0377614688681
+B : breeze, W : rain, T : hot, D : wet = 0.0638957615356
+B : still, W : rain, T : hot, D : wet = 0.191710903684
+B : wind, W : sun, T : cold, D : wet = 0.104734692091
+B : breeze, W : sun, T : cold, D : wet = 0.0125717596017
+B : still, W : sun, T : cold, D : wet = 0.0391473894072
+B : wind, W : rain, T : cold, D : wet = 0.0
+B : breeze, W : rain, T : cold, D : wet = 0.0667905852913
+B : still, W : rain, T : cold, D : wet = 0.0523215209113
+B : wind, W : sun, T : hot, D : dry = 0.159661284861
+B : breeze, W : sun, T : hot, D : dry = 0.110637840267
+B : still, W : sun, T : hot, D : dry = 0.062692626321
+B : wind, W : rain, T : hot, D : dry = 0.062484977125
+B : breeze, W : rain, T : hot, D : dry = 0.144114059443
+B : still, W : rain, T : hot, D : dry = 0.130648517392
+B : wind, W : sun, T : cold, D : dry = 0.0
+B : breeze, W : sun, T : cold, D : dry = 0.0355009323002
+B : still, W : sun, T : cold, D : dry = 0.0
+B : wind, W : rain, T : cold, D : dry = 0.048394873988
+B : breeze, W : rain, T : cold, D : dry = 0.131361951232
+B : still, W : rain, T : cold, D : dry = 0.11450293707
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/4-grade-eliminate.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/4-grade-eliminate.solution
new file mode 100644
index 0000000..8ebf504
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/4-grade-eliminate.solution	
@@ -0,0 +1,49 @@
+# This is the solution file for test_cases/q4/4-grade-eliminate.test.
+variableDomainsDict: """
+Q1 : myNameHasMoreThanOneLetter
+N1 : -10.5 1.34
+M1 : l m n o
+O1 : help! me! I'mTrapped InaBayesNet
+L1 : 0 1 2
+"""
+
+unconditionedVariables: "M1 O1"
+
+conditionedVariables: "Q1 N1"
+
+FactorTable: """
+M1 : l, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0918451910646
+M1 : m, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.09487126356
+M1 : n, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0745326322505
+M1 : o, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.100412148969
+M1 : l, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0289208258847
+M1 : m, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0425356205129
+M1 : n, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0863153129512
+M1 : o, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0045288246707
+M1 : l, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0502529560694
+M1 : m, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0630011671224
+M1 : n, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0632139656087
+M1 : o, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0189507724124
+M1 : l, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0749611903954
+M1 : m, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0845756398368
+M1 : n, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0466425675865
+M1 : o, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : -10.5 = 0.0744399211048
+M1 : l, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0371283421858
+M1 : m, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0309365833611
+M1 : n, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0808781051773
+M1 : o, O1 : help!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0286955712353
+M1 : l, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.070510433244
+M1 : m, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0608019238205
+M1 : n, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0816543942416
+M1 : o, O1 : me!, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0885972000872
+M1 : l, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0874036845943
+M1 : m, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0535472077254
+M1 : n, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0302095703475
+M1 : o, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0540061262374
+M1 : l, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0644988264685
+M1 : m, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0477258546637
+M1 : n, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0974141257874
+M1 : o, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter, N1 : 1.34 = 0.0859920508231
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/4-grade-eliminate.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/4-grade-eliminate.test
new file mode 100644
index 0000000..c6792f9
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/4-grade-eliminate.test	
@@ -0,0 +1,122 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "L1"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L1 : 0 1 2
+M1 : l m n o
+N1 : -10.5 1.34
+O1 : help! me! I'mTrapped InaBayesNet
+Q1 : myNameHasMoreThanOneLetter
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "M1 O1 L1"
+
+AconditionedVariables: "Q1 N1"
+
+AFactorTable: """
+L1 : 0, M1 : l, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0447769827421
+L1 : 1, M1 : l, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0335548259369
+L1 : 2, M1 : l, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0135133823856
+L1 : 0, M1 : m, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0299407113048
+L1 : 1, M1 : m, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0190137493524
+L1 : 2, M1 : m, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0459168029028
+L1 : 0, M1 : n, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : n, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0481229169727
+L1 : 2, M1 : n, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0264097152778
+L1 : 0, M1 : o, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0484229139817
+L1 : 1, M1 : o, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00296557788646
+L1 : 2, M1 : o, O1 : help!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0490236571006
+L1 : 0, M1 : l, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0181539164706
+L1 : 1, M1 : l, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0107669094141
+L1 : 2, M1 : l, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : m, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00217909337527
+L1 : 1, M1 : m, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : m, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0403565271376
+L1 : 0, M1 : n, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00678551130624
+L1 : 1, M1 : n, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0305996504641
+L1 : 2, M1 : n, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0489301511809
+L1 : 0, M1 : o, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : o, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, O1 : me!, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0045288246707
+L1 : 0, M1 : l, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00654528636072
+L1 : 1, M1 : l, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0437076697087
+L1 : 2, M1 : l, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : m, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0110752062624
+L1 : 1, M1 : m, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0396237693127
+L1 : 2, M1 : m, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0123021915473
+L1 : 0, M1 : n, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0332297127389
+L1 : 1, M1 : n, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0299842528698
+L1 : 2, M1 : n, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : o, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0189507724124
+L1 : 1, M1 : o, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, O1 : I'mTrapped, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : l, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : l, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.039840143279
+L1 : 2, M1 : l, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0351210471164
+L1 : 0, M1 : m, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0115769730372
+L1 : 1, M1 : m, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0347270528183
+L1 : 2, M1 : m, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0382716139813
+L1 : 0, M1 : n, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0090690152544
+L1 : 1, M1 : n, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.00799625915824
+L1 : 2, M1 : n, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0295772931739
+L1 : 0, M1 : o, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0146774518464
+L1 : 1, M1 : o, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.013443479893
+L1 : 2, M1 : o, O1 : InaBayesNet, N1 : -10.5, Q1 : myNameHasMoreThanOneLetter = 0.0463189893654
+L1 : 0, M1 : l, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.00746874052442
+L1 : 1, M1 : l, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0170706440325
+L1 : 2, M1 : l, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0125889576289
+L1 : 0, M1 : m, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.024671121071
+L1 : 1, M1 : m, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.00626546229009
+L1 : 2, M1 : m, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : n, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0246502130155
+L1 : 1, M1 : n, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0434087985544
+L1 : 2, M1 : n, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0128190936074
+L1 : 0, M1 : o, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0242600514229
+L1 : 1, M1 : o, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0038706658879
+L1 : 2, M1 : o, O1 : help!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.000564853924528
+L1 : 0, M1 : l, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0411575250006
+L1 : 1, M1 : l, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : l, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0293529082434
+L1 : 0, M1 : m, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0165362781706
+L1 : 1, M1 : m, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.026525369977
+L1 : 2, M1 : m, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0177402756729
+L1 : 0, M1 : n, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0488609903771
+L1 : 1, M1 : n, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0072654289765
+L1 : 2, M1 : n, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.025527974888
+L1 : 0, M1 : o, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0391811589986
+L1 : 1, M1 : o, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, O1 : me!, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0494160410886
+L1 : 0, M1 : l, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0552756677955
+L1 : 1, M1 : l, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : l, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0321280167988
+L1 : 0, M1 : m, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : m, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.005603470804
+L1 : 2, M1 : m, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0479437369214
+L1 : 0, M1 : n, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : n, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : n, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0302095703475
+L1 : 0, M1 : o, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0227207214722
+L1 : 1, M1 : o, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0161232920219
+L1 : 2, M1 : o, O1 : I'mTrapped, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0151621127433
+L1 : 0, M1 : l, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : l, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0101119740519
+L1 : 2, M1 : l, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0543868524166
+L1 : 0, M1 : m, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : m, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0379246424001
+L1 : 2, M1 : m, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.00980121226356
+L1 : 0, M1 : n, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : n, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0484577738418
+L1 : 2, M1 : n, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0489563519456
+L1 : 0, M1 : o, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0411582588411
+L1 : 1, M1 : o, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, O1 : InaBayesNet, N1 : 1.34, Q1 : myNameHasMoreThanOneLetter = 0.044833791982
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/5-simple-eliminate-nonsingleton-var.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/5-simple-eliminate-nonsingleton-var.solution
new file mode 100644
index 0000000..da35997
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/5-simple-eliminate-nonsingleton-var.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q4/5-simple-eliminate-nonsingleton-var.test.
+variableDomainsDict: """
+D0 : wet dry
+W0 : sun rain
+"""
+
+unconditionedVariables: "D0"
+
+conditionedVariables: ""
+
+FactorTable: """
+D0 : wet = 0.22
+D0 : dry = 0.78
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/5-simple-eliminate-nonsingleton-var.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/5-simple-eliminate-nonsingleton-var.test
new file mode 100644
index 0000000..c64860c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/5-simple-eliminate-nonsingleton-var.test	
@@ -0,0 +1,26 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "W0"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W0 : sun rain
+D0 : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D0 W0"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D0 : wet, W0 : sun = 0.08
+D0 : dry, W0 : sun = 0.72
+D0 : wet, W0 : rain = 0.14
+D0 : dry, W0 : rain = 0.06
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/6-simple-eliminate-int.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/6-simple-eliminate-int.solution
new file mode 100644
index 0000000..3e5af49
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/6-simple-eliminate-int.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q4/6-simple-eliminate-int.test.
+variableDomainsDict: """
+D : wet dry
+W : sun rain
+"""
+
+unconditionedVariables: "D"
+
+conditionedVariables: ""
+
+FactorTable: """
+D : wet = 2.0
+D : dry = 0.0
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/6-simple-eliminate-int.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/6-simple-eliminate-int.test
new file mode 100644
index 0000000..8ee41f2
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/6-simple-eliminate-int.test	
@@ -0,0 +1,26 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "eliminate"
+factorArgs: "A"
+eliminateVariable: "W"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun = 1.0
+D : dry, W : sun = 0.0
+D : wet, W : rain = 1.0
+D : dry, W : rain = 0.0
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q4/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/CONFIG
new file mode 100644
index 0000000..a640d4c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q4/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/1-preNormalized.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/1-preNormalized.solution
new file mode 100644
index 0000000..8b4d044
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/1-preNormalized.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q5/1-preNormalized.test.
+variableDomainsDict: """
+W : sun storm rain
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: ""
+
+FactorTable: """
+W : sun = 0.7
+W : storm = 0.1
+W : rain = 0.2
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/1-preNormalized.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/1-preNormalized.test
new file mode 100644
index 0000000..3cff30c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/1-preNormalized.test	
@@ -0,0 +1,27 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun storm rain
+"""
+
+evidenceDict: """
+
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+W : sun = 0.7
+W : storm = 0.1
+W : rain = 0.2
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/10-simple-normalize-int.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/10-simple-normalize-int.solution
new file mode 100644
index 0000000..8128bf7
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/10-simple-normalize-int.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q5/10-simple-normalize-int.test.
+variableDomainsDict: """
+D : wet
+W : sun rain
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: "D"
+
+FactorTable: """
+W : sun, D : wet = 0.5
+W : rain, D : wet = 0.5
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/10-simple-normalize-int.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/10-simple-normalize-int.test
new file mode 100644
index 0000000..aae6239
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/10-simple-normalize-int.test	
@@ -0,0 +1,29 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+evidenceDict: """
+D : wet
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun = 1.0
+D : dry, W : sun = 0.0
+D : wet, W : rain = 1.0
+D : dry, W : rain = 0.0
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/2-preUnNormalized.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/2-preUnNormalized.solution
new file mode 100644
index 0000000..37979e4
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/2-preUnNormalized.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q5/2-preUnNormalized.test.
+variableDomainsDict: """
+W : sun storm rain
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: ""
+
+FactorTable: """
+W : sun = 0.4
+W : storm = 0.2
+W : rain = 0.4
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/2-preUnNormalized.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/2-preUnNormalized.test
new file mode 100644
index 0000000..18f3f64
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/2-preUnNormalized.test	
@@ -0,0 +1,27 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun storm rain
+"""
+
+evidenceDict: """
+
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+W : sun = 0.2
+W : storm = 0.1
+W : rain = 0.2
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/3-simple-normalize.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/3-simple-normalize.solution
new file mode 100644
index 0000000..75ba527
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/3-simple-normalize.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q5/3-simple-normalize.test.
+variableDomainsDict: """
+D : wet
+W : sun rain
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: "D"
+
+FactorTable: """
+W : sun, D : wet = 0.363636363636
+W : rain, D : wet = 0.636363636364
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/3-simple-normalize.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/3-simple-normalize.test
new file mode 100644
index 0000000..3f07fe7
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/3-simple-normalize.test	
@@ -0,0 +1,29 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+evidenceDict: """
+D : wet
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun = 0.08
+D : dry, W : sun = 0.72
+D : wet, W : rain = 0.14
+D : dry, W : rain = 0.06
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/4-zeroVal-normalize.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/4-zeroVal-normalize.solution
new file mode 100644
index 0000000..309f802
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/4-zeroVal-normalize.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q5/4-zeroVal-normalize.test.
+variableDomainsDict: """
+D : wet
+W : sun rain
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: "D"
+
+FactorTable: """
+W : sun, D : wet = 0.0
+W : rain, D : wet = 1.0
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/4-zeroVal-normalize.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/4-zeroVal-normalize.test
new file mode 100644
index 0000000..72dc058
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/4-zeroVal-normalize.test	
@@ -0,0 +1,29 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+"""
+
+evidenceDict: """
+D : wet
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D W"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D : wet, W : sun = 0.0
+D : dry, W : sun = 0.8
+D : wet, W : rain = 0.14
+D : dry, W : rain = 0.06
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/5-extended-normalize.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/5-extended-normalize.solution
new file mode 100644
index 0000000..f7d9537
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/5-extended-normalize.solution	
@@ -0,0 +1,41 @@
+# This is the solution file for test_cases/q5/5-extended-normalize.test.
+variableDomainsDict: """
+Q1 : myNameHasMoreThanOneLetter
+N1 : -10.5 1.34
+M1 : m
+O1 : help! me! I'mTrapped InaBayesNet
+L1 : 0 1 2
+"""
+
+unconditionedVariables: "N1 O1 L1"
+
+conditionedVariables: "Q1 M1"
+
+FactorTable: """
+N1 : -10.5, O1 : help!, L1 : 0, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0
+N1 : 1.34, O1 : help!, L1 : 0, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.110603132007
+N1 : -10.5, O1 : me!, L1 : 0, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0154988360061
+N1 : 1.34, O1 : me!, L1 : 0, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0
+N1 : -10.5, O1 : I'mTrapped, L1 : 0, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0759002299204
+N1 : 1.34, O1 : I'mTrapped, L1 : 0, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0432855978795
+N1 : -10.5, O1 : InaBayesNet, L1 : 0, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0207146040764
+N1 : 1.34, O1 : InaBayesNet, L1 : 0, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0335248751181
+N1 : -10.5, O1 : help!, L1 : 1, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0603226238356
+N1 : 1.34, O1 : help!, L1 : 1, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.111975293759
+N1 : -10.5, O1 : me!, L1 : 1, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.111761716204
+N1 : 1.34, O1 : me!, L1 : 1, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0103443215557
+N1 : -10.5, O1 : I'mTrapped, L1 : 1, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0
+N1 : 1.34, O1 : I'mTrapped, L1 : 1, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0
+N1 : -10.5, O1 : InaBayesNet, L1 : 1, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0675577116769
+N1 : 1.34, O1 : InaBayesNet, L1 : 1, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.105797542403
+N1 : -10.5, O1 : help!, L1 : 2, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0847994356446
+N1 : 1.34, O1 : help!, L1 : 2, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.00756137681284
+N1 : -10.5, O1 : me!, L1 : 2, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0141930736956
+N1 : 1.34, O1 : me!, L1 : 2, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0
+N1 : -10.5, O1 : I'mTrapped, L1 : 2, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0
+N1 : 1.34, O1 : I'mTrapped, L1 : 2, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.031496980099
+N1 : -10.5, O1 : InaBayesNet, L1 : 2, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0946626493066
+N1 : 1.34, O1 : InaBayesNet, L1 : 2, Q1 : myNameHasMoreThanOneLetter, M1 : m = 0.0
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/5-extended-normalize.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/5-extended-normalize.test
new file mode 100644
index 0000000..e1ac6bd
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/5-extended-normalize.test	
@@ -0,0 +1,125 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+L1 : 0 1 2
+M1 : l m n o
+N1 : -10.5 1.34
+O1 : help! me! I'mTrapped InaBayesNet
+Q1 : myNameHasMoreThanOneLetter
+"""
+
+evidenceDict: """
+M1 : m
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "Q1 N1 M1 O1 L1"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+L1 : 0, M1 : l, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0241351387484
+L1 : 1, M1 : l, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.00728381723967
+L1 : 2, M1 : l, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.00786943535298
+L1 : 0, M1 : m, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : m, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0142350400474
+L1 : 2, M1 : m, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0200111216264
+L1 : 0, M1 : n, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0180863097527
+L1 : 1, M1 : n, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.00344303182781
+L1 : 2, M1 : n, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.00580341245669
+L1 : 0, M1 : o, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0259386230824
+L1 : 1, M1 : o, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0113635582462
+L1 : 2, M1 : o, N1 : -10.5, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.00590950336936
+L1 : 0, M1 : l, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0161382741158
+L1 : 1, M1 : l, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0247495105985
+L1 : 2, M1 : l, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.00288832983422
+L1 : 0, M1 : m, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.026100323782
+L1 : 1, M1 : m, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0264241289524
+L1 : 2, M1 : m, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.00178434714706
+L1 : 0, M1 : n, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0102485574205
+L1 : 1, M1 : n, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0113731966986
+L1 : 2, M1 : n, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : o, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.00159846933348
+L1 : 1, M1 : o, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.0111836967586
+L1 : 2, M1 : o, N1 : 1.34, O1 : help!, Q1 : myNameHasMoreThanOneLetter = 0.000260393306456
+L1 : 0, M1 : l, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.00978510087131
+L1 : 1, M1 : l, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : l, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : m, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.00365744288306
+L1 : 1, M1 : m, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0263737285411
+L1 : 2, M1 : m, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.00334930677093
+L1 : 0, M1 : n, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.00580344714377
+L1 : 1, M1 : n, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0189733018663
+L1 : 2, M1 : n, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0135314645073
+L1 : 0, M1 : o, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0164934474004
+L1 : 1, M1 : o, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0225245400421
+L1 : 2, M1 : o, N1 : -10.5, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0117681997054
+L1 : 0, M1 : l, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.00117454812132
+L1 : 1, M1 : l, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0217524791137
+L1 : 2, M1 : l, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0122279911555
+L1 : 0, M1 : m, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : m, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.00244107139653
+L1 : 2, M1 : m, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : n, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : n, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.00762309680844
+L1 : 2, M1 : n, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.00817813037904
+L1 : 0, M1 : o, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : o, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0180622123692
+L1 : 2, M1 : o, N1 : 1.34, O1 : me!, Q1 : myNameHasMoreThanOneLetter = 0.0227804141429
+L1 : 0, M1 : l, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.00352795978626
+L1 : 1, M1 : l, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : l, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : m, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0179110712337
+L1 : 1, M1 : m, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : m, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : n, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0235587707833
+L1 : 1, M1 : n, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0254816569006
+L1 : 2, M1 : n, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0148107681665
+L1 : 0, M1 : o, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0161617433548
+L1 : 1, M1 : o, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, N1 : -10.5, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0139263791359
+L1 : 0, M1 : l, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.00596962152075
+L1 : 1, M1 : l, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.00663097604442
+L1 : 2, M1 : l, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.00258315686042
+L1 : 0, M1 : m, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0102146123645
+L1 : 1, M1 : m, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : m, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.00743271337638
+L1 : 0, M1 : n, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0213575169994
+L1 : 1, M1 : n, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : n, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0221016932674
+L1 : 0, M1 : o, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : o, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.0104740775133
+L1 : 2, M1 : o, N1 : 1.34, O1 : I'mTrapped, Q1 : myNameHasMoreThanOneLetter = 0.00698961713575
+L1 : 0, M1 : l, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 1, M1 : l, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0189305150377
+L1 : 2, M1 : l, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.00466154211526
+L1 : 0, M1 : m, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.00488826910775
+L1 : 1, M1 : m, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0159423889427
+L1 : 2, M1 : m, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0223386603266
+L1 : 0, M1 : n, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0214741442346
+L1 : 1, M1 : n, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : n, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0250719198602
+L1 : 0, M1 : o, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.00431004530528
+L1 : 1, M1 : o, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : o, N1 : -10.5, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0225685009904
+L1 : 0, M1 : l, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.00624007767896
+L1 : 1, M1 : l, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0206286948561
+L1 : 2, M1 : l, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0174829679
+L1 : 0, M1 : m, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0079112596493
+L1 : 1, M1 : m, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0249662922011
+L1 : 2, M1 : m, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 0, M1 : n, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.018718149075
+L1 : 1, M1 : n, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0
+L1 : 2, M1 : n, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.00451828332558
+L1 : 0, M1 : o, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.00724613925751
+L1 : 1, M1 : o, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0189736401611
+L1 : 2, M1 : o, N1 : 1.34, O1 : InaBayesNet, Q1 : myNameHasMoreThanOneLetter = 0.0206680326155
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/6-conditioned-eliminate.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/6-conditioned-eliminate.solution
new file mode 100644
index 0000000..9cb2cad
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/6-conditioned-eliminate.solution	
@@ -0,0 +1,22 @@
+# This is the solution file for test_cases/q5/6-conditioned-eliminate.test.
+variableDomainsDict: """
+B : wind breeze still
+D : dry
+W : sun
+T : hot cold
+"""
+
+unconditionedVariables: "B T"
+
+conditionedVariables: "D W"
+
+FactorTable: """
+B : wind, T : hot, D : dry, W : sun = 0.439696061509
+B : breeze, T : hot, D : dry, W : sun = 0.294008484568
+B : still, T : hot, D : dry, W : sun = 0.0
+B : wind, T : cold, D : dry, W : sun = 0.178265820613
+B : breeze, T : cold, D : dry, W : sun = 0.0213980200563
+B : still, T : cold, D : dry, W : sun = 0.0666316132526
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/6-conditioned-eliminate.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/6-conditioned-eliminate.test
new file mode 100644
index 0000000..5ea3e73
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/6-conditioned-eliminate.test	
@@ -0,0 +1,39 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : dry
+T : hot cold
+B : wind breeze still
+"""
+
+evidenceDict: """
+W : sun
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "B T W"
+
+AconditionedVariables: "D"
+
+AFactorTable: """
+B : wind, W : sun, T : hot, D : dry = 0.258330124403
+B : breeze, W : sun, T : hot, D : dry = 0.172735794206
+B : still, W : sun, T : hot, D : dry = 0.0
+B : wind, W : rain, T : hot, D : dry = 0.0377614688681
+B : breeze, W : rain, T : hot, D : dry = 0.0638957615356
+B : still, W : rain, T : hot, D : dry = 0.191710903684
+B : wind, W : sun, T : cold, D : dry = 0.104734692091
+B : breeze, W : sun, T : cold, D : dry = 0.0125717596017
+B : still, W : sun, T : cold, D : dry = 0.0391473894072
+B : wind, W : rain, T : cold, D : dry = 0.0
+B : breeze, W : rain, T : cold, D : dry = 0.0667905852913
+B : still, W : rain, T : cold, D : dry = 0.0523215209113
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/7-singleDomainUnconditional-extraDomain.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/7-singleDomainUnconditional-extraDomain.solution
new file mode 100644
index 0000000..d1786d4
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/7-singleDomainUnconditional-extraDomain.solution	
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q5/7-singleDomainUnconditional-extraDomain.test.
+variableDomainsDict: """
+A : 0 1 2
+B : m
+E : singleEntryForThisVariable
+"""
+
+unconditionedVariables: "A"
+
+conditionedVariables: "B"
+
+FactorTable: """
+A : 0, B : m = 0.1
+A : 1, B : m = 0.3
+A : 2, B : m = 0.6
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/7-singleDomainUnconditional-extraDomain.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/7-singleDomainUnconditional-extraDomain.test
new file mode 100644
index 0000000..fec41a9
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/7-singleDomainUnconditional-extraDomain.test	
@@ -0,0 +1,30 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+
+variableDomainsDict: """
+A : 0 1 2
+B : m
+E : singleEntryForThisVariable
+"""
+
+evidenceDict: """
+B : m
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "A"
+
+AconditionedVariables: "B"
+
+AFactorTable: """
+A : 0, B : m = 0.05
+A : 1, B : m = 0.15
+A : 2, B : m = 0.3
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/8-simple-normalize-nonsingleton-var.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/8-simple-normalize-nonsingleton-var.solution
new file mode 100644
index 0000000..5998ddd
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/8-simple-normalize-nonsingleton-var.solution	
@@ -0,0 +1,16 @@
+# This is the solution file for test_cases/q5/8-simple-normalize-nonsingleton-var.test.
+variableDomainsDict: """
+D0 : wet
+W0 : sun rain
+"""
+
+unconditionedVariables: "W0"
+
+conditionedVariables: "D0"
+
+FactorTable: """
+W0 : sun, D0 : wet = 0.363636363636
+W0 : rain, D0 : wet = 0.636363636364
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/8-simple-normalize-nonsingleton-var.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/8-simple-normalize-nonsingleton-var.test
new file mode 100644
index 0000000..a4b1c51
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/8-simple-normalize-nonsingleton-var.test	
@@ -0,0 +1,29 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W0 : sun rain
+D0 : wet dry
+"""
+
+evidenceDict: """
+D0 : wet
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "D0 W0"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+D0 : wet, W0 : sun = 0.08
+D0 : dry, W0 : sun = 0.72
+D0 : wet, W0 : rain = 0.14
+D0 : dry, W0 : rain = 0.06
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/9-simple-normalize-multiple-singleEntry.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/9-simple-normalize-multiple-singleEntry.solution
new file mode 100644
index 0000000..f41a7b2
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/9-simple-normalize-multiple-singleEntry.solution	
@@ -0,0 +1,19 @@
+# This is the solution file for test_cases/q5/9-simple-normalize-multiple-singleEntry.test.
+variableDomainsDict: """
+N : singleEntry
+M : singleEntry
+D : wet
+W : sun rain
+L : singleEntry
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: "M D L N"
+
+FactorTable: """
+W : sun, N : singleEntry, M : singleEntry, D : wet, L : singleEntry = 0.363636363636
+W : rain, N : singleEntry, M : singleEntry, D : wet, L : singleEntry = 0.636363636364
+"""
+
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/9-simple-normalize-multiple-singleEntry.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/9-simple-normalize-multiple-singleEntry.test
new file mode 100644
index 0000000..02172e7
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/9-simple-normalize-multiple-singleEntry.test	
@@ -0,0 +1,32 @@
+class: "FactorInputFactorEqualityTest"
+max_points: "4"
+alg: "normalize"
+factorArgs: "A"
+seed: "cs188"
+constructRandomly: "False"
+
+variableDomainsDict: """
+W : sun rain
+D : wet dry
+L : singleEntry
+M : singleEntry
+N : singleEntry
+"""
+
+evidenceDict: """
+D : wet
+"""
+
+# endOfNonFactors
+
+AunconditionedVariables: "W M L D N"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+L : singleEntry, M : singleEntry, N : singleEntry, D : wet, W : sun = 0.08
+L : singleEntry, M : singleEntry, N : singleEntry, D : dry, W : sun = 0.72
+L : singleEntry, M : singleEntry, N : singleEntry, D : wet, W : rain = 0.14
+L : singleEntry, M : singleEntry, N : singleEntry, D : dry, W : rain = 0.06
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q5/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/CONFIG
new file mode 100644
index 0000000..a640d4c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q5/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/1-disconnected-eliminate.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/1-disconnected-eliminate.solution
new file mode 100644
index 0000000..653357e
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/1-disconnected-eliminate.solution	
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q6/1-disconnected-eliminate.test.
+variableDomainsDict: """
+D : dry wet
+W : sun
+T : hot cold
+"""
+
+unconditionedVariables: "D"
+
+conditionedVariables: "W"
+
+FactorTable: """
+D : dry, W : sun = 0.9
+D : wet, W : sun = 0.1
+"""
+
+
+callTrackingList: "[('join', 'T')]"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/1-disconnected-eliminate.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/1-disconnected-eliminate.test
new file mode 100644
index 0000000..6160be3
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/1-disconnected-eliminate.test	
@@ -0,0 +1,66 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+W
+D
+T
+"""
+
+edges: """
+W D
+W T
+"""
+
+variableDomainsDict: """
+W : sun rain
+D : dry wet
+T : hot cold
+"""
+
+queryVariables: "D"
+
+evidenceDict: """
+W : sun
+"""
+
+variableEliminationOrder: "T"
+
+# endOfNonFactors
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: "W"
+
+DFactorTable: """
+D : dry, W : sun = 0.9
+D : wet, W : sun = 0.1
+D : dry, W : rain = 0.3
+D : wet, W : rain = 0.7
+"""
+
+
+WunconditionedVariables: "W"
+
+WconditionedVariables: ""
+
+WFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+TunconditionedVariables: "T"
+
+TconditionedVariables: "W"
+
+TFactorTable: """
+T : hot, W : sun = 0.75
+T : cold, W : sun = 0.25
+T : hot, W : rain = 0.1
+T : cold, W : rain = 0.9
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/2-independent-eliminate.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/2-independent-eliminate.solution
new file mode 100644
index 0000000..49811b2
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/2-independent-eliminate.solution	
@@ -0,0 +1,18 @@
+# This is the solution file for test_cases/q6/2-independent-eliminate.test.
+variableDomainsDict: """
+D : dry wet
+W : sun rain
+T : hot cold
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: ""
+
+FactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+callTrackingList: "[('join', 'T'), ('eliminate', 'T'), ('join', 'D')]"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/2-independent-eliminate.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/2-independent-eliminate.test
new file mode 100644
index 0000000..e9ca15b
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/2-independent-eliminate.test	
@@ -0,0 +1,68 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+W
+D
+T
+"""
+
+edges: """
+W D
+T D
+"""
+
+variableDomainsDict: """
+W : sun rain
+D : dry wet
+T : hot cold
+"""
+
+queryVariables: "W"
+
+variableEliminationOrder: "T D"
+
+evidenceDict: """
+
+"""
+
+# endOfNonFactors
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: "T W"
+
+DFactorTable: """
+D : dry, T : hot, W : sun = 0.9
+D : wet, T : hot, W : sun = 0.1
+D : dry, T : cold, W : sun = 0.8
+D : wet, T : cold, W : sun = 0.2
+D : dry, T : hot, W : rain = 0.5
+D : wet, T : hot, W : rain = 0.5
+D : dry, T : cold, W : rain = 0.3
+D : wet, T : cold, W : rain = 0.7
+"""
+
+
+WunconditionedVariables: "W"
+
+WconditionedVariables: ""
+
+WFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+TunconditionedVariables: "T"
+
+TconditionedVariables: ""
+
+TFactorTable: """
+T : hot = 0.75
+T : cold = 0.25
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/3-independent-eliminate-extended.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/3-independent-eliminate-extended.solution
new file mode 100644
index 0000000..8fcf14a
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/3-independent-eliminate-extended.solution	
@@ -0,0 +1,19 @@
+# This is the solution file for test_cases/q6/3-independent-eliminate-extended.test.
+variableDomainsDict: """
+S : slippery rough
+D : dry wet
+W : sun rain
+T : hot
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: "T"
+
+FactorTable: """
+W : sun, T : hot = 0.8
+W : rain, T : hot = 0.2
+"""
+
+
+callTrackingList: "[('join', 'S'), ('join', 'D')]"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/3-independent-eliminate-extended.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/3-independent-eliminate-extended.test
new file mode 100644
index 0000000..d6f9871
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/3-independent-eliminate-extended.test	
@@ -0,0 +1,83 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+W
+D
+T
+S
+"""
+
+edges: """
+W D
+T D
+D S
+"""
+
+variableDomainsDict: """
+W : sun rain
+D : dry wet
+T : hot cold
+S : slippery rough
+"""
+
+queryVariables: "W"
+
+variableEliminationOrder: "S D"
+
+evidenceDict: """
+T : hot
+"""
+
+# endOfNonFactors
+
+SunconditionedVariables: "S"
+
+SconditionedVariables: "D"
+
+SFactorTable: """
+S : slippery, D : dry = 0.1
+S : rough, D : dry = 0.9
+S : slippery, D : wet = 0.5
+S : rough, D : wet = 0.5
+"""
+
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: "T W"
+
+DFactorTable: """
+D : dry, T : hot, W : sun = 0.9
+D : wet, T : hot, W : sun = 0.1
+D : dry, T : cold, W : sun = 0.8
+D : wet, T : cold, W : sun = 0.2
+D : dry, T : hot, W : rain = 0.5
+D : wet, T : hot, W : rain = 0.5
+D : dry, T : cold, W : rain = 0.3
+D : wet, T : cold, W : rain = 0.7
+"""
+
+
+WunconditionedVariables: "W"
+
+WconditionedVariables: ""
+
+WFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+TunconditionedVariables: "T"
+
+TconditionedVariables: ""
+
+TFactorTable: """
+T : hot = 0.75
+T : cold = 0.25
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/4-common-effect-eliminate.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/4-common-effect-eliminate.solution
new file mode 100644
index 0000000..7898585
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/4-common-effect-eliminate.solution	
@@ -0,0 +1,19 @@
+# This is the solution file for test_cases/q6/4-common-effect-eliminate.test.
+variableDomainsDict: """
+S : slippery
+D : dry wet
+W : sun rain
+T : hot cold
+"""
+
+unconditionedVariables: "W"
+
+conditionedVariables: "S"
+
+FactorTable: """
+W : sun, S : slippery = 0.652173913043
+W : rain, S : slippery = 0.347826086957
+"""
+
+
+callTrackingList: "[('join', 'T'), ('eliminate', 'T'), ('join', 'D'), ('eliminate', 'D')]"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/4-common-effect-eliminate.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/4-common-effect-eliminate.test
new file mode 100644
index 0000000..b2e4df7
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/4-common-effect-eliminate.test	
@@ -0,0 +1,83 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+W
+D
+T
+S
+"""
+
+edges: """
+W D
+T D
+D S
+"""
+
+variableDomainsDict: """
+W : sun rain
+D : dry wet
+T : hot cold
+S : slippery rough
+"""
+
+queryVariables: "W"
+
+variableEliminationOrder: "T D"
+
+evidenceDict: """
+S : slippery
+"""
+
+# endOfNonFactors
+
+SunconditionedVariables: "S"
+
+SconditionedVariables: "D"
+
+SFactorTable: """
+S : slippery, D : dry = 0.1
+S : rough, D : dry = 0.9
+S : slippery, D : wet = 0.5
+S : rough, D : wet = 0.5
+"""
+
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: "T W"
+
+DFactorTable: """
+D : dry, T : hot, W : sun = 0.9
+D : wet, T : hot, W : sun = 0.1
+D : dry, T : cold, W : sun = 0.8
+D : wet, T : cold, W : sun = 0.2
+D : dry, T : hot, W : rain = 0.5
+D : wet, T : hot, W : rain = 0.5
+D : dry, T : cold, W : rain = 0.3
+D : wet, T : cold, W : rain = 0.7
+"""
+
+
+WunconditionedVariables: "W"
+
+WconditionedVariables: ""
+
+WFactorTable: """
+W : sun = 0.8
+W : rain = 0.2
+"""
+
+
+TunconditionedVariables: "T"
+
+TconditionedVariables: ""
+
+TFactorTable: """
+T : hot = 0.75
+T : cold = 0.25
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/5-grade-var-elim.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/5-grade-var-elim.solution
new file mode 100644
index 0000000..f9d68f8
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/5-grade-var-elim.solution	
@@ -0,0 +1,21 @@
+# This is the solution file for test_cases/q6/5-grade-var-elim.test.
+variableDomainsDict: """
+A : 0 1 2
+C : -10.5 1.34
+B : m
+E : singleEntryForThisVariable
+D : help! me! I'mTrapped InaBayesNet
+"""
+
+unconditionedVariables: "A"
+
+conditionedVariables: "B"
+
+FactorTable: """
+A : 0, B : m = 0.516311327629
+A : 1, B : m = 0.387878666494
+A : 2, B : m = 0.0958100058765
+"""
+
+
+callTrackingList: "[('join', 'C'), ('join', 'D'), ('join', 'E')]"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/5-grade-var-elim.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/5-grade-var-elim.test
new file mode 100644
index 0000000..8c4b3c1
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/5-grade-var-elim.test	
@@ -0,0 +1,121 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+A
+B
+C
+D
+E
+"""
+
+edges: """
+A B
+B C
+A C
+"""
+
+variableDomainsDict: """
+A : 0 1 2
+B : l m n o
+C : -10.5 1.34
+D : help! me! I'mTrapped InaBayesNet
+E : singleEntryForThisVariable
+"""
+
+queryVariables: "A"
+
+evidenceDict: """
+B : m
+"""
+
+variableEliminationOrder: "C D E"
+
+# endOfNonFactors
+
+AunconditionedVariables: "A"
+
+AconditionedVariables: ""
+
+AFactorTable: """
+A : 0 = 0.644493971172
+A : 1 = 0.261296965582
+A : 2 = 0.0942090632453
+"""
+
+
+CunconditionedVariables: "C"
+
+CconditionedVariables: "A B"
+
+CFactorTable: """
+C : -10.5, A : 0, B : l = 0.0
+C : 1.34, A : 0, B : l = 1.0
+C : -10.5, A : 1, B : l = 0.157744145568
+C : 1.34, A : 1, B : l = 0.842255854432
+C : -10.5, A : 2, B : l = 0.676933020022
+C : 1.34, A : 2, B : l = 0.323066979978
+C : -10.5, A : 0, B : m = 0.164406527303
+C : 1.34, A : 0, B : m = 0.835593472697
+C : -10.5, A : 1, B : m = 0.0
+C : 1.34, A : 1, B : m = 1.0
+C : -10.5, A : 2, B : m = 0.0
+C : 1.34, A : 2, B : m = 1.0
+C : -10.5, A : 0, B : n = 1.0
+C : 1.34, A : 0, B : n = 0.0
+C : -10.5, A : 1, B : n = 0.304307665342
+C : 1.34, A : 1, B : n = 0.695692334658
+C : -10.5, A : 2, B : n = 0.419155889929
+C : 1.34, A : 2, B : n = 0.580844110071
+C : -10.5, A : 0, B : o = 0.169573242888
+C : 1.34, A : 0, B : o = 0.830426757112
+C : -10.5, A : 1, B : o = 0.19765016247
+C : 1.34, A : 1, B : o = 0.80234983753
+C : -10.5, A : 2, B : o = 0.505078886969
+C : 1.34, A : 2, B : o = 0.494921113031
+"""
+
+
+BunconditionedVariables: "B"
+
+BconditionedVariables: "A"
+
+BFactorTable: """
+B : l, A : 0 = 0.729463421654
+B : m, A : 0 = 0.270536578346
+B : n, A : 0 = 0.0
+B : o, A : 0 = 0.0
+B : l, A : 1 = 0.498703437888
+B : m, A : 1 = 0.501296562112
+B : n, A : 1 = 0.0
+B : o, A : 1 = 0.0
+B : l, A : 2 = 0.262692210105
+B : m, A : 2 = 0.343440399016
+B : n, A : 2 = 0.301851629618
+B : o, A : 2 = 0.0920157612613
+"""
+
+
+EunconditionedVariables: "E"
+
+EconditionedVariables: ""
+
+EFactorTable: """
+E : singleEntryForThisVariable = 1.0
+"""
+
+
+DunconditionedVariables: "D"
+
+DconditionedVariables: ""
+
+DFactorTable: """
+D : help! = 0.251719693616
+D : me! = 0.466369384686
+D : I'mTrapped = 0.0
+D : InaBayesNet = 0.281910921698
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/6-large-bayesNet-elim.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/6-large-bayesNet-elim.solution
new file mode 100644
index 0000000..dd0dc9d
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/6-large-bayesNet-elim.solution	
@@ -0,0 +1,38 @@
+# This is the solution file for test_cases/q6/6-large-bayesNet-elim.test.
+variableDomainsDict: """
+X1 : 0 1
+Y1 : water
+Y8 : ice
+Y5 : water
+Z : evil good indifferent
+Y10 : ice
+Y4 : ice
+Y9 : water
+X10 : 0 1
+X8 : 0 1
+X9 : 0 1
+Y7 : water
+Y6 : ice
+X2 : 0 1
+X3 : 0 1
+Y3 : water
+Y2 : ice
+X6 : 0 1
+X7 : 0 1
+X4 : 0 1
+X5 : 0 1
+"""
+
+unconditionedVariables: "X2 X1"
+
+conditionedVariables: "Y4 Y9 Y8 Y1 Y3 Y2 Y5 Y10 Y7 Y6"
+
+FactorTable: """
+X1 : 0, X2 : 0, Y10 : ice, Y9 : water, Y8 : ice, Y1 : water, Y3 : water, Y2 : ice, Y5 : water, Y4 : ice, Y7 : water, Y6 : ice = 1.0
+X1 : 1, X2 : 0, Y10 : ice, Y9 : water, Y8 : ice, Y1 : water, Y3 : water, Y2 : ice, Y5 : water, Y4 : ice, Y7 : water, Y6 : ice = 0.0
+X1 : 0, X2 : 1, Y10 : ice, Y9 : water, Y8 : ice, Y1 : water, Y3 : water, Y2 : ice, Y5 : water, Y4 : ice, Y7 : water, Y6 : ice = 0.0
+X1 : 1, X2 : 1, Y10 : ice, Y9 : water, Y8 : ice, Y1 : water, Y3 : water, Y2 : ice, Y5 : water, Y4 : ice, Y7 : water, Y6 : ice = 0.0
+"""
+
+
+callTrackingList: "[('join', 'X3'), ('eliminate', 'X3'), ('join', 'X4'), ('eliminate', 'X4'), ('join', 'X5'), ('eliminate', 'X5'), ('join', 'X6'), ('eliminate', 'X6'), ('join', 'X7'), ('eliminate', 'X7'), ('join', 'X8'), ('eliminate', 'X8'), ('join', 'X9'), ('eliminate', 'X9'), ('join', 'X10'), ('eliminate', 'X10'), ('join', 'Z'), ('eliminate', 'Z')]"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/6-large-bayesNet-elim.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/6-large-bayesNet-elim.test
new file mode 100644
index 0000000..363cf90
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/6-large-bayesNet-elim.test	
@@ -0,0 +1,366 @@
+class: "BayesNetInputFactorEqualityTest"
+max_points: "4"
+alg: "inferenceByVariableElimination"
+seed: "cs188"
+constructRandomly: "False"
+
+variables: """
+Z
+X1
+X2
+X3
+X4
+X5
+X6
+X7
+X8
+X9
+X10
+Y1
+Y2
+Y3
+Y4
+Y5
+Y6
+Y7
+Y8
+Y9
+Y10
+"""
+
+edges: """
+Z X1
+Z X2
+Z X3
+Z X4
+Z X5
+Z X6
+Z X7
+Z X8
+Z X9
+Z X10
+X1 Y1
+X2 Y2
+X3 Y3
+X4 Y4
+X5 Y5
+X6 Y6
+X7 Y7
+X8 Y8
+X9 Y9
+X10 Y10
+"""
+
+variableDomainsDict: """
+Z : evil good indifferent
+X1 : 0 1
+X2 : 0 1
+X3 : 0 1
+X4 : 0 1
+X5 : 0 1
+X6 : 0 1
+X7 : 0 1
+X8 : 0 1
+X9 : 0 1
+X10 : 0 1
+Y1 : water ice
+Y2 : water ice
+Y3 : water ice
+Y4 : water ice
+Y5 : water ice
+Y6 : water ice
+Y7 : water ice
+Y8 : water ice
+Y9 : water ice
+Y10 : water ice
+"""
+
+queryVariables: "X1 X2"
+
+variableEliminationOrder: "X3 X4 X5 X6 X7 X8 X9 X10 Z"
+
+evidenceDict: """
+Y1 : water
+Y2 : ice
+Y3 : water
+Y4 : ice
+Y5 : water
+Y6 : ice
+Y7 : water
+Y8 : ice
+Y9 : water
+Y10 : ice
+"""
+
+# endOfNonFactors
+
+X5unconditionedVariables: "X5"
+
+X5conditionedVariables: "Z"
+
+X5FactorTable: """
+X5 : 0, Z : evil = 0.581416503411
+X5 : 1, Z : evil = 0.418583496589
+X5 : 0, Z : good = 1.0
+X5 : 1, Z : good = 0.0
+X5 : 0, Z : indifferent = 0.0
+X5 : 1, Z : indifferent = 1.0
+"""
+
+
+X2unconditionedVariables: "X2"
+
+X2conditionedVariables: "Z"
+
+X2FactorTable: """
+X2 : 0, Z : evil = 1.0
+X2 : 1, Z : evil = 0.0
+X2 : 0, Z : good = 0.0
+X2 : 1, Z : good = 1.0
+X2 : 0, Z : indifferent = 0.63295587631
+X2 : 1, Z : indifferent = 0.36704412369
+"""
+
+
+X10unconditionedVariables: "X10"
+
+X10conditionedVariables: "Z"
+
+X10FactorTable: """
+X10 : 0, Z : evil = 0.932157327948
+X10 : 1, Z : evil = 0.0678426720516
+X10 : 0, Z : good = 0.488924536396
+X10 : 1, Z : good = 0.511075463604
+X10 : 0, Z : indifferent = 0.0
+X10 : 1, Z : indifferent = 1.0
+"""
+
+
+ZunconditionedVariables: "Z"
+
+ZconditionedVariables: ""
+
+ZFactorTable: """
+Z : evil = 0.366282091192
+Z : good = 0.0999652900561
+Z : indifferent = 0.533752618752
+"""
+
+
+Y10unconditionedVariables: "Y10"
+
+Y10conditionedVariables: "X10"
+
+Y10FactorTable: """
+Y10 : water, X10 : 0 = 0.0
+Y10 : ice, X10 : 0 = 1.0
+Y10 : water, X10 : 1 = 0.304307665342
+Y10 : ice, X10 : 1 = 0.695692334658
+"""
+
+
+X1unconditionedVariables: "X1"
+
+X1conditionedVariables: "Z"
+
+X1FactorTable: """
+X1 : 0, Z : evil = 1.0
+X1 : 1, Z : evil = 0.0
+X1 : 0, Z : good = 0.926031314752
+X1 : 1, Z : good = 0.0739686852482
+X1 : 0, Z : indifferent = 0.0
+X1 : 1, Z : indifferent = 1.0
+"""
+
+
+X6unconditionedVariables: "X6"
+
+X6conditionedVariables: "Z"
+
+X6FactorTable: """
+X6 : 0, Z : evil = 0.0
+X6 : 1, Z : evil = 1.0
+X6 : 0, Z : good = 0.477431141825
+X6 : 1, Z : good = 0.522568858175
+X6 : 0, Z : indifferent = 1.0
+X6 : 1, Z : indifferent = 0.0
+"""
+
+
+X7unconditionedVariables: "X7"
+
+X7conditionedVariables: "Z"
+
+X7FactorTable: """
+X7 : 0, Z : evil = 0.27008513902
+X7 : 1, Z : evil = 0.72991486098
+X7 : 0, Z : good = 0.43329264951
+X7 : 1, Z : good = 0.56670735049
+X7 : 0, Z : indifferent = 0.458003214533
+X7 : 1, Z : indifferent = 0.541996785467
+"""
+
+
+Y9unconditionedVariables: "Y9"
+
+Y9conditionedVariables: "X9"
+
+Y9FactorTable: """
+Y9 : water, X9 : 0 = 1.0
+Y9 : ice, X9 : 0 = 0.0
+Y9 : water, X9 : 1 = 0.498703437888
+Y9 : ice, X9 : 1 = 0.501296562112
+"""
+
+
+Y8unconditionedVariables: "Y8"
+
+Y8conditionedVariables: "X8"
+
+Y8FactorTable: """
+Y8 : water, X8 : 0 = 1.0
+Y8 : ice, X8 : 0 = 0.0
+Y8 : water, X8 : 1 = 0.433390657675
+Y8 : ice, X8 : 1 = 0.566609342325
+"""
+
+
+X8unconditionedVariables: "X8"
+
+X8conditionedVariables: "Z"
+
+X8FactorTable: """
+X8 : 0, Z : evil = 0.766378828529
+X8 : 1, Z : evil = 0.233621171471
+X8 : 0, Z : good = 0.591694920615
+X8 : 1, Z : good = 0.408305079385
+X8 : 0, Z : indifferent = 1.0
+X8 : 1, Z : indifferent = 0.0
+"""
+
+
+X9unconditionedVariables: "X9"
+
+X9conditionedVariables: "Z"
+
+X9FactorTable: """
+X9 : 0, Z : evil = 0.37629689044
+X9 : 1, Z : evil = 0.62370310956
+X9 : 0, Z : good = 1.0
+X9 : 1, Z : good = 0.0
+X9 : 0, Z : indifferent = 0.878806274155
+X9 : 1, Z : indifferent = 0.121193725845
+"""
+
+
+X4unconditionedVariables: "X4"
+
+X4conditionedVariables: "Z"
+
+X4FactorTable: """
+X4 : 0, Z : evil = 0.988593696082
+X4 : 1, Z : evil = 0.0114063039177
+X4 : 0, Z : good = 0.765212973063
+X4 : 1, Z : good = 0.234787026937
+X4 : 0, Z : indifferent = 1.0
+X4 : 1, Z : indifferent = 0.0
+"""
+
+
+Y1unconditionedVariables: "Y1"
+
+Y1conditionedVariables: "X1"
+
+Y1FactorTable: """
+Y1 : water, X1 : 0 = 0.711526186695
+Y1 : ice, X1 : 0 = 0.288473813305
+Y1 : water, X1 : 1 = 1.0
+Y1 : ice, X1 : 1 = 0.0
+"""
+
+
+X3unconditionedVariables: "X3"
+
+X3conditionedVariables: "Z"
+
+X3FactorTable: """
+X3 : 0, Z : evil = 0.706835554337
+X3 : 1, Z : evil = 0.293164445663
+X3 : 0, Z : good = 1.0
+X3 : 1, Z : good = 0.0
+X3 : 0, Z : indifferent = 0.617433268597
+X3 : 1, Z : indifferent = 0.382566731403
+"""
+
+
+Y3unconditionedVariables: "Y3"
+
+Y3conditionedVariables: "X3"
+
+Y3FactorTable: """
+Y3 : water, X3 : 0 = 0.825593744817
+Y3 : ice, X3 : 0 = 0.174406255183
+Y3 : water, X3 : 1 = 0.466285969892
+Y3 : ice, X3 : 1 = 0.533714030108
+"""
+
+
+Y2unconditionedVariables: "Y2"
+
+Y2conditionedVariables: "X2"
+
+Y2FactorTable: """
+Y2 : water, X2 : 0 = 0.19765016247
+Y2 : ice, X2 : 0 = 0.80234983753
+Y2 : water, X2 : 1 = 0.676933020022
+Y2 : ice, X2 : 1 = 0.323066979978
+"""
+
+
+Y5unconditionedVariables: "Y5"
+
+Y5conditionedVariables: "X5"
+
+Y5FactorTable: """
+Y5 : water, X5 : 0 = 0.0
+Y5 : ice, X5 : 0 = 1.0
+Y5 : water, X5 : 1 = 0.419155889929
+Y5 : ice, X5 : 1 = 0.580844110071
+"""
+
+
+Y4unconditionedVariables: "Y4"
+
+Y4conditionedVariables: "X4"
+
+Y4FactorTable: """
+Y4 : water, X4 : 0 = 0.505078886969
+Y4 : ice, X4 : 0 = 0.494921113031
+Y4 : water, X4 : 1 = 0.729463421654
+Y4 : ice, X4 : 1 = 0.270536578346
+"""
+
+
+Y7unconditionedVariables: "Y7"
+
+Y7conditionedVariables: "X7"
+
+Y7FactorTable: """
+Y7 : water, X7 : 0 = 0.42679832335
+Y7 : ice, X7 : 0 = 0.57320167665
+Y7 : water, X7 : 1 = 0.0
+Y7 : ice, X7 : 1 = 1.0
+"""
+
+
+Y6unconditionedVariables: "Y6"
+
+Y6conditionedVariables: "X6"
+
+Y6FactorTable: """
+Y6 : water, X6 : 0 = 1.0
+Y6 : ice, X6 : 0 = 0.0
+Y6 : water, X6 : 1 = 0.0
+Y6 : ice, X6 : 1 = 1.0
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q6/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/CONFIG
new file mode 100644
index 0000000..a640d4c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q6/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/1-small-board.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/1-small-board.solution
new file mode 100644
index 0000000..653275d
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/1-small-board.solution	
@@ -0,0 +1,5 @@
+# This is the solution file for test_cases/q7/1-small-board.test.
+
+answer: """
+topLeft
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/1-small-board.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/1-small-board.test
new file mode 100644
index 0000000..ebeea16
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/1-small-board.test	
@@ -0,0 +1,25 @@
+class: "MostLikelyFoodHousePositionTest"
+
+layoutName: "smallBoard"
+layout: """
+%%%%%%%%%%%%%%%
+%             %
+% RBB         %
+% BGB         %
+% B R         %
+%             %
+%         RBR %
+%         B.R %
+%         B R %
+%P            %
+%%%%%%%%%%%%%%%
+"""
+
+evidence: """
+{'obs(4,2)': 'none', 'obs(10,4)': 'red', 'obs(10,2)': 'blue', 'obs(12,7)': 'none', 'obs(2,2)': 'none', 'obs(10,6)': 'none', 'obs(2,4)': 'none', 'obs(4,8)': 'blue', 'obs(3,4)': 'none', 'obs(4,6)': 'red', 'obs(4,4)': 'none', 'obs(4,3)': 'none', 'obs(11,8)': 'none', 'obs(10,8)': 'none', 'obs(10,3)': 'blue', 'obs(12,6)': 'none', 'obs(2,3)': 'none', 'obs(10,7)': 'none', 'obs(12,4)': 'red', 'obs(2,6)': 'blue', 'obs(12,8)': 'none', 'obs(4,7)': 'blue', 'obs(11,4)': 'blue'}
+"""
+
+eliminationOrder: """
+['obs(2,7)', 'obs(2,8)', 'obs(3,8)', 'obs(12,2)', 'obs(12,3)', 'xPos', 'yPos', 'ghostHouse']
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/2-long-bottom.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/2-long-bottom.solution
new file mode 100644
index 0000000..60a387a
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/2-long-bottom.solution	
@@ -0,0 +1,5 @@
+# This is the solution file for test_cases/q7/2-long-bottom.test.
+
+answer: """
+bottomRight
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/2-long-bottom.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/2-long-bottom.test
new file mode 100644
index 0000000..726d1d0
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/2-long-bottom.test	
@@ -0,0 +1,28 @@
+class: "MostLikelyFoodHousePositionTest"
+
+layoutName: "longBottomBoard"
+layout: """
+%%%%%%%%%%%
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+%         %
+% RBR BBR %
+% R.B BGB %
+% B B R R %
+%P        %
+%%%%%%%%%%%
+"""
+
+evidence: """
+{'obs(2,11)': 'none', 'obs(2,10)': 'none', 'obs(7,4)': 'blue', 'obs(2,2)': 'blue', 'obs(6,4)': 'blue', 'obs(8,4)': 'red', 'obs(3,4)': 'blue', 'obs(4,10)': 'none', 'obs(2,3)': 'red', 'obs(2,4)': 'red', 'obs(4,4)': 'red'}
+"""
+
+eliminationOrder: """
+['obs(4,3)', 'obs(4,2)', 'obs(3,12)', 'obs(4,12)', 'obs(2,12)', 'obs(4,11)', 'obs(8,3)', 'obs(6,3)', 'obs(8,2)', 'obs(6,2)', 'obs(8,12)', 'obs(6,11)', 'obs(8,11)', 'obs(6,10)', 'obs(8,10)', 'obs(7,12)', 'obs(6,12)', 'xPos', 'yPos', 'ghostHouse']
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/3-wide-inverted.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/3-wide-inverted.solution
new file mode 100644
index 0000000..cf7b1e2
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/3-wide-inverted.solution	
@@ -0,0 +1,5 @@
+# This is the solution file for test_cases/q7/3-wide-inverted.test.
+
+answer: """
+bottomLeft
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/3-wide-inverted.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/3-wide-inverted.test
new file mode 100644
index 0000000..b93349b
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/3-wide-inverted.test	
@@ -0,0 +1,28 @@
+class: "MostLikelyFoodHousePositionTest"
+
+layoutName: "wideInvertedBoard"
+layout: """
+%%%%%%%%%%%%%%%%%%%
+%                 %
+%             BRR %
+%             RGB %
+%             R B %
+%                 %
+%                 %
+%                 %
+%                 %
+%                 %
+% BBB             %
+% R.B             %
+% B B             %
+%P                %
+%%%%%%%%%%%%%%%%%%%
+"""
+
+evidence: """
+{'obs(2,11)': 'none', 'obs(2,10)': 'none', 'obs(4,10)': 'none', 'obs(3,12)': 'none', 'obs(4,11)': 'none', 'obs(2,2)': 'blue', 'obs(2,3)': 'red', 'obs(2,4)': 'blue'}
+"""
+
+eliminationOrder: """
+['obs(4,4)', 'obs(4,3)', 'obs(4,2)', 'obs(3,4)', 'obs(4,12)', 'obs(2,12)', 'obs(16,4)', 'obs(14,4)', 'obs(16,3)', 'obs(16,2)', 'obs(14,3)', 'obs(15,4)', 'obs(14,2)', 'obs(14,11)', 'obs(15,12)', 'obs(16,11)', 'obs(14,10)', 'obs(16,10)', 'obs(14,12)', 'obs(16,12)', 'xPos', 'yPos', 'ghostHouse']
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/4-small-board-a-priori.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/4-small-board-a-priori.solution
new file mode 100644
index 0000000..d43761c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/4-small-board-a-priori.solution	
@@ -0,0 +1,5 @@
+# This is the solution file for test_cases/q7/4-small-board-a-priori.test.
+
+answer: """
+bottomRight
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/4-small-board-a-priori.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/4-small-board-a-priori.test
new file mode 100644
index 0000000..513b320
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/4-small-board-a-priori.test	
@@ -0,0 +1,25 @@
+class: "MostLikelyFoodHousePositionTest"
+
+layoutName: "smallBoard"
+layout: """
+%%%%%%%%%%%%%%%
+%             %
+% RBB         %
+% BGB         %
+% B R         %
+%             %
+%         RBR %
+%         B.R %
+%         B R %
+%P            %
+%%%%%%%%%%%%%%%
+"""
+
+evidence: """
+{}
+"""
+
+eliminationOrder: """
+['obs(4,4)', 'obs(2,3)', 'obs(4,3)', 'obs(2,2)', 'obs(4,2)', 'obs(3,4)', 'obs(2,4)', 'obs(2,7)', 'obs(4,7)', 'obs(2,6)', 'obs(4,6)', 'obs(4,8)', 'obs(2,8)', 'obs(3,8)', 'obs(12,2)', 'obs(11,4)', 'obs(10,4)', 'obs(12,4)', 'obs(10,3)', 'obs(12,3)', 'obs(10,2)', 'obs(10,8)', 'obs(10,7)', 'obs(12,7)', 'obs(10,6)', 'obs(12,6)', 'obs(11,8)', 'obs(12,8)', 'xPos', 'yPos', 'ghostHouse']
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q7/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q7/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q8/1-vpi-board-enter.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/1-vpi-board-enter.solution
new file mode 100644
index 0000000..5c71d97
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/1-vpi-board-enter.solution	
@@ -0,0 +1,5 @@
+# This is the solution file for test_cases/q8/1-vpi-board-enter.test.
+
+answer: """
+(-317.45609366684414, 317.45609366684414)
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q8/1-vpi-board-enter.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/1-vpi-board-enter.test
new file mode 100644
index 0000000..87a2ff9
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/1-vpi-board-enter.test	
@@ -0,0 +1,27 @@
+class: "VPITest"
+
+function: "computeEnterValues"
+
+layoutName: "vpiBoard"
+layout: """
+%%%%%%%%%%%
+%         %
+% RBR BRR %
+% BGR B.R %
+% R B B B %
+%    P    %
+%         %
+%         %
+%         %
+%         %
+%%%%%%%%%%%
+"""
+
+evidence: """
+{'obs(8,2)': 'none', 'obs(8,3)': 'none', 'obs(2,6)': 'red', 'obs(6,3)': 'none', 'obs(4,3)': 'none', 'obs(6,2)': 'none', 'obs(4,2)': 'none', 'obs(2,8)': 'red', 'obs(7,4)': 'none', 'obs(2,2)': 'none', 'obs(6,4)': 'none', 'obs(3,8)': 'blue', 'obs(4,8)': 'red', 'obs(3,4)': 'none', 'obs(4,6)': 'blue', 'obs(2,3)': 'none', 'obs(2,7)': 'blue', 'obs(4,7)': 'red', 'obs(8,4)': 'none', 'obs(2,4)': 'none', 'obs(4,4)': 'none'}
+"""
+
+eliminationOrder: """
+['obs(6,7)', 'obs(6,8)', 'obs(6,6)', 'obs(8,8)', 'obs(8,7)', 'obs(8,6)', 'obs(7,8)', 'xPos', 'yPos']
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q8/2-vpi-board-explore.solution b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/2-vpi-board-explore.solution
new file mode 100644
index 0000000..1e73e0d
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/2-vpi-board-explore.solution	
@@ -0,0 +1,5 @@
+# This is the solution file for test_cases/q8/2-vpi-board-explore.test.
+
+answer: """
+370.567953167
+"""
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q8/2-vpi-board-explore.test b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/2-vpi-board-explore.test
new file mode 100644
index 0000000..1aa21f3
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/2-vpi-board-explore.test	
@@ -0,0 +1,27 @@
+class: "VPITest"
+
+function: "computeExploreValue"
+
+layoutName: "vpiBoard"
+layout: """
+%%%%%%%%%%%
+%         %
+% RBR BRR %
+% BGR B.R %
+% R B B B %
+%    P    %
+%         %
+%         %
+%         %
+%         %
+%%%%%%%%%%%
+"""
+
+evidence: """
+{'obs(8,2)': 'none', 'obs(8,3)': 'none', 'obs(2,6)': 'red', 'obs(6,3)': 'none', 'obs(4,3)': 'none', 'obs(6,2)': 'none', 'obs(4,2)': 'none', 'obs(2,8)': 'red', 'obs(7,4)': 'none', 'obs(2,2)': 'none', 'obs(6,4)': 'none', 'obs(3,8)': 'blue', 'obs(4,8)': 'red', 'obs(3,4)': 'none', 'obs(4,6)': 'blue', 'obs(2,3)': 'none', 'obs(2,7)': 'blue', 'obs(4,7)': 'red', 'obs(8,4)': 'none', 'obs(2,4)': 'none', 'obs(4,4)': 'none'}
+"""
+
+eliminationOrder: """
+['xPos', 'yPos']
+"""
+
diff --git a/cs188-projects-master/P4 Bayes Nets/test_cases/q8/CONFIG b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/CONFIG
new file mode 100644
index 0000000..a640d4c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/test_cases/q8/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P4 Bayes Nets/textDisplay.py b/cs188-projects-master/P4 Bayes Nets/textDisplay.py
new file mode 100644
index 0000000..e920ad4
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/textDisplay.py	
@@ -0,0 +1,81 @@
+# textDisplay.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import time
+try: 
+    import pacman
+except:
+    pass
+
+DRAW_EVERY = 1
+SLEEP_TIME = 0 # This can be overwritten by __init__
+DISPLAY_MOVES = False
+QUIET = False # Supresses output
+
+class NullGraphics:
+    def initialize(self, state, isBlue = False):
+        pass
+
+    def update(self, state):
+        pass
+
+    def checkNullDisplay(self):
+        return True
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def updateDistributions(self, dist):
+        pass
+
+    def finish(self):
+        pass
+
+class PacmanGraphics:
+    def __init__(self, speed=None):
+        if speed != None:
+            global SLEEP_TIME
+            SLEEP_TIME = speed
+
+    def initialize(self, state, isBlue = False):
+        self.draw(state)
+        self.pause()
+        self.turn = 0
+        self.agentCounter = 0
+
+    def update(self, state):
+        numAgents = len(state.agentStates)
+        self.agentCounter = (self.agentCounter + 1) % numAgents
+        if self.agentCounter == 0:
+            self.turn += 1
+            if DISPLAY_MOVES:
+                ghosts = [pacman.nearestPoint(state.getGhostPosition(i)) for i in range(1, numAgents)]
+                print "%4d) P: %-8s" % (self.turn, str(pacman.nearestPoint(state.getPacmanPosition()))),'| Score: %-5d' % state.score,'| Ghosts:', ghosts
+            if self.turn % DRAW_EVERY == 0:
+                self.draw(state)
+                self.pause()
+        if state._win or state._lose:
+            self.draw(state)
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def finish(self):
+        pass
diff --git a/cs188-projects-master/P4 Bayes Nets/textDisplay.pyc b/cs188-projects-master/P4 Bayes Nets/textDisplay.pyc
new file mode 100644
index 0000000..25018b0
Binary files /dev/null and b/cs188-projects-master/P4 Bayes Nets/textDisplay.pyc differ
diff --git a/cs188-projects-master/P4 Bayes Nets/treasureHunt.lay b/cs188-projects-master/P4 Bayes Nets/treasureHunt.lay
new file mode 100644
index 0000000..ac0c2db
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/treasureHunt.lay	
@@ -0,0 +1,11 @@
+%%%%%%%%%%%
+%         %
+% RRB     %
+% RGR     %
+% R B     %
+%         %
+%     RRR %
+%     B.B %
+%     B B %
+%P        %
+%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P4 Bayes Nets/util.py b/cs188-projects-master/P4 Bayes Nets/util.py
new file mode 100644
index 0000000..b00a39c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/util.py	
@@ -0,0 +1,651 @@
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import inspect
+import heapq, random
+import cStringIO
+
+class FixedRandom:
+    def __init__(self):
+        fixedState = (3, (2147483648L, 507801126L, 683453281L, 310439348L, 2597246090L, \
+            2209084787L, 2267831527L, 979920060L, 3098657677L, 37650879L, 807947081L, 3974896263L, \
+            881243242L, 3100634921L, 1334775171L, 3965168385L, 746264660L, 4074750168L, 500078808L, \
+            776561771L, 702988163L, 1636311725L, 2559226045L, 157578202L, 2498342920L, 2794591496L, \
+            4130598723L, 496985844L, 2944563015L, 3731321600L, 3514814613L, 3362575829L, 3038768745L, \
+            2206497038L, 1108748846L, 1317460727L, 3134077628L, 988312410L, 1674063516L, 746456451L, \
+            3958482413L, 1857117812L, 708750586L, 1583423339L, 3466495450L, 1536929345L, 1137240525L, \
+            3875025632L, 2466137587L, 1235845595L, 4214575620L, 3792516855L, 657994358L, 1241843248L, \
+            1695651859L, 3678946666L, 1929922113L, 2351044952L, 2317810202L, 2039319015L, 460787996L, \
+            3654096216L, 4068721415L, 1814163703L, 2904112444L, 1386111013L, 574629867L, 2654529343L, \
+            3833135042L, 2725328455L, 552431551L, 4006991378L, 1331562057L, 3710134542L, 303171486L, \
+            1203231078L, 2670768975L, 54570816L, 2679609001L, 578983064L, 1271454725L, 3230871056L, \
+            2496832891L, 2944938195L, 1608828728L, 367886575L, 2544708204L, 103775539L, 1912402393L, \
+            1098482180L, 2738577070L, 3091646463L, 1505274463L, 2079416566L, 659100352L, 839995305L, \
+            1696257633L, 274389836L, 3973303017L, 671127655L, 1061109122L, 517486945L, 1379749962L, \
+            3421383928L, 3116950429L, 2165882425L, 2346928266L, 2892678711L, 2936066049L, 1316407868L, \
+            2873411858L, 4279682888L, 2744351923L, 3290373816L, 1014377279L, 955200944L, 4220990860L, \
+            2386098930L, 1772997650L, 3757346974L, 1621616438L, 2877097197L, 442116595L, 2010480266L, \
+            2867861469L, 2955352695L, 605335967L, 2222936009L, 2067554933L, 4129906358L, 1519608541L, \
+            1195006590L, 1942991038L, 2736562236L, 279162408L, 1415982909L, 4099901426L, 1732201505L, \
+            2934657937L, 860563237L, 2479235483L, 3081651097L, 2244720867L, 3112631622L, 1636991639L, \
+            3860393305L, 2312061927L, 48780114L, 1149090394L, 2643246550L, 1764050647L, 3836789087L, \
+            3474859076L, 4237194338L, 1735191073L, 2150369208L, 92164394L, 756974036L, 2314453957L, \
+            323969533L, 4267621035L, 283649842L, 810004843L, 727855536L, 1757827251L, 3334960421L, \
+            3261035106L, 38417393L, 2660980472L, 1256633965L, 2184045390L, 811213141L, 2857482069L, \
+            2237770878L, 3891003138L, 2787806886L, 2435192790L, 2249324662L, 3507764896L, 995388363L, \
+            856944153L, 619213904L, 3233967826L, 3703465555L, 3286531781L, 3863193356L, 2992340714L, \
+            413696855L, 3865185632L, 1704163171L, 3043634452L, 2225424707L, 2199018022L, 3506117517L, \
+            3311559776L, 3374443561L, 1207829628L, 668793165L, 1822020716L, 2082656160L, 1160606415L, \
+            3034757648L, 741703672L, 3094328738L, 459332691L, 2702383376L, 1610239915L, 4162939394L, \
+            557861574L, 3805706338L, 3832520705L, 1248934879L, 3250424034L, 892335058L, 74323433L, \
+            3209751608L, 3213220797L, 3444035873L, 3743886725L, 1783837251L, 610968664L, 580745246L, \
+            4041979504L, 201684874L, 2673219253L, 1377283008L, 3497299167L, 2344209394L, 2304982920L, \
+            3081403782L, 2599256854L, 3184475235L, 3373055826L, 695186388L, 2423332338L, 222864327L, \
+            1258227992L, 3627871647L, 3487724980L, 4027953808L, 3053320360L, 533627073L, 3026232514L, \
+            2340271949L, 867277230L, 868513116L, 2158535651L, 2487822909L, 3428235761L, 3067196046L, \
+            3435119657L, 1908441839L, 788668797L, 3367703138L, 3317763187L, 908264443L, 2252100381L, \
+            764223334L, 4127108988L, 384641349L, 3377374722L, 1263833251L, 1958694944L, 3847832657L, \
+            1253909612L, 1096494446L, 555725445L, 2277045895L, 3340096504L, 1383318686L, 4234428127L, \
+            1072582179L, 94169494L, 1064509968L, 2681151917L, 2681864920L, 734708852L, 1338914021L, \
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+            2372035079L, 3945715164L, 2029501215L, 3362012634L, 2007375355L, 4074709820L, 631485888L, \
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+            1313027823L, 1895251226L, 4224465911L, 421382535L, 1141067370L, 3660034846L, 3393185650L, \
+            1850995280L, 1451917312L, 3841455409L, 3926840308L, 1397397252L, 2572864479L, 2500171350L, \
+            3119920613L, 531400869L, 1626487579L, 1099320497L, 407414753L, 2438623324L, 99073255L, \
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+            230984053L, 719791226L, 2718891946L, 624L), None)
+        self.random = random.Random()
+        self.random.setstate(fixedState)
+
+"""
+ Data structures useful for implementing SearchAgents
+"""
+
+class Stack:
+    "A container with a last-in-first-out (LIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Push 'item' onto the stack"
+        self.list.append(item)
+
+    def pop(self):
+        "Pop the most recently pushed item from the stack"
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the stack is empty"
+        return len(self.list) == 0
+
+class Queue:
+    "A container with a first-in-first-out (FIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Enqueue the 'item' into the queue"
+        self.list.insert(0,item)
+
+    def pop(self):
+        """
+          Dequeue the earliest enqueued item still in the queue. This
+          operation removes the item from the queue.
+        """
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the queue is empty"
+        return len(self.list) == 0
+
+class PriorityQueue:
+    """
+      Implements a priority queue data structure. Each inserted item
+      has a priority associated with it and the client is usually interested
+      in quick retrieval of the lowest-priority item in the queue. This
+      data structure allows O(1) access to the lowest-priority item.
+
+      Note that this PriorityQueue does not allow you to change the priority
+      of an item.  However, you may insert the same item multiple times with
+      different priorities.
+    """
+    def  __init__(self):
+        self.heap = []
+        self.count = 0
+
+    def push(self, item, priority):
+        # FIXME: restored old behaviour to check against old results better
+        # FIXED: restored to stable behaviour
+        entry = (priority, self.count, item)
+        # entry = (priority, item)
+        heapq.heappush(self.heap, entry)
+        self.count += 1
+
+    def pop(self):
+        (_, _, item) = heapq.heappop(self.heap)
+        #  (_, item) = heapq.heappop(self.heap)
+        return item
+
+    def isEmpty(self):
+        return len(self.heap) == 0
+
+class PriorityQueueWithFunction(PriorityQueue):
+    """
+    Implements a priority queue with the same push/pop signature of the
+    Queue and the Stack classes. This is designed for drop-in replacement for
+    those two classes. The caller has to provide a priority function, which
+    extracts each item's priority.
+    """
+    def  __init__(self, priorityFunction):
+        "priorityFunction (item) -> priority"
+        self.priorityFunction = priorityFunction      # store the priority function
+        PriorityQueue.__init__(self)        # super-class initializer
+
+    def push(self, item):
+        "Adds an item to the queue with priority from the priority function"
+        PriorityQueue.push(self, item, self.priorityFunction(item))
+
+def manhattanDistance( xy1, xy2 ):
+    "Returns the Manhattan distance between points xy1 and xy2"
+    return abs( xy1[0] - xy2[0] ) + abs( xy1[1] - xy2[1] )
+
+"""
+  Data structures and functions useful for various course projects
+
+  The search project should not need anything below this line.
+"""
+
+class Counter(dict):
+    """
+    A counter keeps track of counts for a set of keys.
+
+    The counter class is an extension of the standard python
+    dictionary type.  It is specialized to have number values
+    (integers or floats), and includes a handful of additional
+    functions to ease the task of counting data.  In particular,
+    all keys are defaulted to have value 0.  Using a dictionary:
+
+    a = {}
+    print a['test']
+
+    would give an error, while the Counter class analogue:
+
+    >>> a = Counter()
+    >>> print a['test']
+    0
+
+    returns the default 0 value. Note that to reference a key
+    that you know is contained in the counter,
+    you can still use the dictionary syntax:
+
+    >>> a = Counter()
+    >>> a['test'] = 2
+    >>> print a['test']
+    2
+
+    This is very useful for counting things without initializing their counts,
+    see for example:
+
+    >>> a['blah'] += 1
+    >>> print a['blah']
+    1
+
+    The counter also includes additional functionality useful in implementing
+    the classifiers for this assignment.  Two counters can be added,
+    subtracted or multiplied together.  See below for details.  They can
+    also be normalized and their total count and arg max can be extracted.
+    """
+    def __getitem__(self, idx):
+        self.setdefault(idx, 0)
+        return dict.__getitem__(self, idx)
+
+    def incrementAll(self, keys, count):
+        """
+        Increments all elements of keys by the same count.
+
+        >>> a = Counter()
+        >>> a.incrementAll(['one','two', 'three'], 1)
+        >>> a['one']
+        1
+        >>> a['two']
+        1
+        """
+        for key in keys:
+            self[key] += count
+
+    def argMax(self):
+        """
+        Returns the key with the highest value.
+        """
+        if len(self.keys()) == 0: return None
+        all = self.items()
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def sortedKeys(self):
+        """
+        Returns a list of keys sorted by their values.  Keys
+        with the highest values will appear first.
+
+        >>> a = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> a['third'] = 1
+        >>> a.sortedKeys()
+        ['second', 'third', 'first']
+        """
+        sortedItems = self.items()
+        compare = lambda x, y:  sign(y[1] - x[1])
+        sortedItems.sort(cmp=compare)
+        return [x[0] for x in sortedItems]
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
+
+    def normalize(self):
+        """
+        Edits the counter such that the total count of all
+        keys sums to 1.  The ratio of counts for all keys
+        will remain the same. Note that normalizing an empty
+        Counter will result in an error.
+        """
+        total = float(self.totalCount())
+        if total == 0: return
+        for key in self.keys():
+            self[key] = self[key] / total
+
+    def divideAll(self, divisor):
+        """
+        Divides all counts by divisor
+        """
+        divisor = float(divisor)
+        for key in self:
+            self[key] /= divisor
+
+    def copy(self):
+        """
+        Returns a copy of the counter
+        """
+        return Counter(dict.copy(self))
+
+    def __mul__(self, y ):
+        """
+        Multiplying two counters gives the dot product of their vectors where
+        each unique label is a vector element.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['second'] = 5
+        >>> a['third'] = 1.5
+        >>> a['fourth'] = 2.5
+        >>> a * b
+        14
+        """
+        sum = 0
+        x = self
+        if len(x) > len(y):
+            x,y = y,x
+        for key in x:
+            if key not in y:
+                continue
+            sum += x[key] * y[key]
+        return sum
+
+    def __radd__(self, y):
+        """
+        Adding another counter to a counter increments the current counter
+        by the values stored in the second counter.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> a += b
+        >>> a['first']
+        1
+        """
+        for key, value in y.items():
+            self[key] += value
+
+    def __add__( self, y ):
+        """
+        Adding two counters gives a counter with the union of all keys and
+        counts of the second added to counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a + b)['first']
+        1
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] + y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = y[key]
+        return addend
+
+    def __sub__( self, y ):
+        """
+        Subtracting a counter from another gives a counter with the union of all keys and
+        counts of the second subtracted from counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a - b)['first']
+        -5
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] - y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = -1 * y[key]
+        return addend
+
+def raiseNotDefined():
+    fileName = inspect.stack()[1][1]
+    line = inspect.stack()[1][2]
+    method = inspect.stack()[1][3]
+
+    print "*** Method not implemented: %s at line %s of %s" % (method, line, fileName)
+    sys.exit(1)
+
+def normalize(vectorOrCounter):
+    """
+    normalize a vector or counter by dividing each value by the sum of all values
+    """
+    normalizedCounter = Counter()
+    if type(vectorOrCounter) == type(normalizedCounter):
+        counter = vectorOrCounter
+        total = float(counter.totalCount())
+        if total == 0: return counter
+        for key in counter.keys():
+            value = counter[key]
+            normalizedCounter[key] = value / total
+        return normalizedCounter
+    else:
+        vector = vectorOrCounter
+        s = float(sum(vector))
+        if s == 0: return vector
+        return [el / s for el in vector]
+
+def nSample(distribution, values, n):
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    rand = [random.random() for i in range(n)]
+    rand.sort()
+    samples = []
+    samplePos, distPos, cdf = 0,0, distribution[0]
+    while samplePos < n:
+        if rand[samplePos] < cdf:
+            samplePos += 1
+            samples.append(values[distPos])
+        else:
+            distPos += 1
+            cdf += distribution[distPos]
+    return samples
+
+def sample(distribution, values = None):
+    if type(distribution) == Counter:
+        items = sorted(distribution.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    choice = random.random()
+    i, total= 0, distribution[0]
+    while choice > total:
+        i += 1
+        total += distribution[i]
+    return values[i]
+
+def sampleFromCounter(ctr):
+    items = sorted(ctr.items())
+    return sample([v for k,v in items], [k for k,v in items])
+
+def getProbability(value, distribution, values):
+    """
+      Gives the probability of a value under a discrete distribution
+      defined by (distributions, values).
+    """
+    total = 0.0
+    for prob, val in zip(distribution, values):
+        if val == value:
+            total += prob
+    return total
+
+def flipCoin( p ):
+    r = random.random()
+    return r < p
+
+def chooseFromDistribution( distribution ):
+    "Takes either a counter or a list of (prob, key) pairs and samples"
+    if type(distribution) == dict or type(distribution) == Counter:
+        return sample(distribution)
+    r = random.random()
+    base = 0.0
+    for prob, element in distribution:
+        base += prob
+        if r <= base: return element
+
+def nearestPoint( pos ):
+    """
+    Finds the nearest grid point to a position (discretizes).
+    """
+    ( current_row, current_col ) = pos
+
+    grid_row = int( current_row + 0.5 )
+    grid_col = int( current_col + 0.5 )
+    return ( grid_row, grid_col )
+
+def sign( x ):
+    """
+    Returns 1 or -1 depending on the sign of x
+    """
+    if( x >= 0 ):
+        return 1
+    else:
+        return -1
+
+def arrayInvert(array):
+    """
+    Inverts a matrix stored as a list of lists.
+    """
+    result = [[] for i in array]
+    for outer in array:
+        for inner in range(len(outer)):
+            result[inner].append(outer[inner])
+    return result
+
+def matrixAsList( matrix, value = True ):
+    """
+    Turns a matrix into a list of coordinates matching the specified value
+    """
+    rows, cols = len( matrix ), len( matrix[0] )
+    cells = []
+    for row in range( rows ):
+        for col in range( cols ):
+            if matrix[row][col] == value:
+                cells.append( ( row, col ) )
+    return cells
+
+def lookup(name, namespace):
+    """
+    Get a method or class from any imported module from its name.
+    Usage: lookup(functionName, globals())
+    """
+    dots = name.count('.')
+    if dots > 0:
+        moduleName, objName = '.'.join(name.split('.')[:-1]), name.split('.')[-1]
+        module = __import__(moduleName)
+        return getattr(module, objName)
+    else:
+        modules = [obj for obj in namespace.values() if str(type(obj)) == ""]
+        options = [getattr(module, name) for module in modules if name in dir(module)]
+        options += [obj[1] for obj in namespace.items() if obj[0] == name ]
+        if len(options) == 1: return options[0]
+        if len(options) > 1: raise Exception, 'Name conflict for %s'
+        raise Exception, '%s not found as a method or class' % name
+
+def pause():
+    """
+    Pauses the output stream awaiting user feedback.
+    """
+    print ""
+    raw_input()
+
+
+# code to handle timeouts
+#
+# FIXME
+# NOTE: TimeoutFuncton is NOT reentrant.  Later timeouts will silently
+# disable earlier timeouts.  Could be solved by maintaining a global list
+# of active time outs.  Currently, questions which have test cases calling
+# this have all student code so wrapped.
+#
+import signal
+import time
+class TimeoutFunctionException(Exception):
+    """Exception to raise on a timeout"""
+    pass
+
+
+class TimeoutFunction:
+    def __init__(self, function, timeout):
+        self.timeout = timeout
+        self.function = function
+
+    def handle_timeout(self, signum, frame):
+        raise TimeoutFunctionException()
+
+    def __call__(self, *args, **keyArgs):
+        # If we have SIGALRM signal, use it to cause an exception if and
+        # when this function runs too long.  Otherwise check the time taken
+        # after the method has returned, and throw an exception then.
+        if hasattr(signal, 'SIGALRM'):
+            old = signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.alarm(self.timeout)
+            try:
+                result = self.function(*args, **keyArgs)
+            finally:
+                signal.signal(signal.SIGALRM, old)
+            signal.alarm(0)
+        else:
+            startTime = time.time()
+            result = self.function(*args, **keyArgs)
+            timeElapsed = time.time() - startTime
+            if timeElapsed >= self.timeout:
+                self.handle_timeout(None, None)
+        return result
+
+
+
+_ORIGINAL_STDOUT = None
+_ORIGINAL_STDERR = None
+_MUTED = False
+
+class WritableNull:
+    def write(self, string):
+        pass
+
+def mutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if _MUTED:
+        return
+    _MUTED = True
+
+    _ORIGINAL_STDOUT = sys.stdout
+    #_ORIGINAL_STDERR = sys.stderr
+    sys.stdout = WritableNull()
+    #sys.stderr = WritableNull()
+
+def unmutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if not _MUTED:
+        return
+    _MUTED = False
+
+    sys.stdout = _ORIGINAL_STDOUT
+    #sys.stderr = _ORIGINAL_STDERR
+
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--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/vpiBoard.lay	
@@ -0,0 +1,11 @@
+%%%%%%%%%%%
+%         %
+% RBR BRR %
+% BGR B.R %
+% R B B B %
+%    P    %
+%         %
+%         %
+%         %
+%         %
+%%%%%%%%%%%
diff --git a/cs188-projects-master/P4 Bayes Nets/wideInvertedBoard.lay b/cs188-projects-master/P4 Bayes Nets/wideInvertedBoard.lay
new file mode 100644
index 0000000..09e408c
--- /dev/null
+++ b/cs188-projects-master/P4 Bayes Nets/wideInvertedBoard.lay	
@@ -0,0 +1,15 @@
+%%%%%%%%%%%%%%%%%%%
+%                 %
+%             BRR %
+%             RGB %
+%             R B %
+%                 %
+%                 %
+%                 %
+%                 %
+%                 %
+% BBB             %
+% R.B             %
+% B B             %
+%P                %
+%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P5 Ghostbusters/VERSION b/cs188-projects-master/P5 Ghostbusters/VERSION
new file mode 100644
index 0000000..6af849e
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/VERSION	
@@ -0,0 +1 @@
+v1.002
diff --git a/cs188-projects-master/P5 Ghostbusters/autograder.py b/cs188-projects-master/P5 Ghostbusters/autograder.py
new file mode 100644
index 0000000..4abe64d
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/autograder.py	
@@ -0,0 +1,358 @@
+# autograder.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# imports from python standard library
+import grading
+import imp
+import optparse
+import os
+import re
+import sys
+import projectParams
+import random
+random.seed(0)
+try: 
+    from pacman import GameState
+except:
+    pass
+
+# register arguments and set default values
+def readCommand(argv):
+    parser = optparse.OptionParser(description = 'Run public tests on student code')
+    parser.set_defaults(generateSolutions=False, edxOutput=False, gsOutput=False, muteOutput=False, printTestCase=False, noGraphics=False)
+    parser.add_option('--test-directory',
+                      dest = 'testRoot',
+                      default = 'test_cases',
+                      help = 'Root test directory which contains subdirectories corresponding to each question')
+    parser.add_option('--student-code',
+                      dest = 'studentCode',
+                      default = projectParams.STUDENT_CODE_DEFAULT,
+                      help = 'comma separated list of student code files')
+    parser.add_option('--code-directory',
+                    dest = 'codeRoot',
+                    default = "",
+                    help = 'Root directory containing the student and testClass code')
+    parser.add_option('--test-case-code',
+                      dest = 'testCaseCode',
+                      default = projectParams.PROJECT_TEST_CLASSES,
+                      help = 'class containing testClass classes for this project')
+    parser.add_option('--generate-solutions',
+                      dest = 'generateSolutions',
+                      action = 'store_true',
+                      help = 'Write solutions generated to .solution file')
+    parser.add_option('--edx-output',
+                    dest = 'edxOutput',
+                    action = 'store_true',
+                    help = 'Generate edX output files')
+    parser.add_option('--gradescope-output',
+                    dest = 'gsOutput',
+                    action = 'store_true',
+                    help = 'Generate GradeScope output files')
+    parser.add_option('--mute',
+                    dest = 'muteOutput',
+                    action = 'store_true',
+                    help = 'Mute output from executing tests')
+    parser.add_option('--print-tests', '-p',
+                    dest = 'printTestCase',
+                    action = 'store_true',
+                    help = 'Print each test case before running them.')
+    parser.add_option('--test', '-t',
+                      dest = 'runTest',
+                      default = None,
+                      help = 'Run one particular test.  Relative to test root.')
+    parser.add_option('--question', '-q',
+                    dest = 'gradeQuestion',
+                    default = None,
+                    help = 'Grade one particular question.')
+    parser.add_option('--no-graphics',
+                    dest = 'noGraphics',
+                    action = 'store_true',
+                    help = 'No graphics display for pacman games.')
+    (options, args) = parser.parse_args(argv)
+    return options
+
+
+# confirm we should author solution files
+def confirmGenerate():
+    print 'WARNING: this action will overwrite any solution files.'
+    print 'Are you sure you want to proceed? (yes/no)'
+    while True:
+        ans = sys.stdin.readline().strip()
+        if ans == 'yes':
+            break
+        elif ans == 'no':
+            sys.exit(0)
+        else:
+            print 'please answer either "yes" or "no"'
+
+
+# TODO: Fix this so that it tracebacks work correctly
+# Looking at source of the traceback module, presuming it works
+# the same as the intepreters, it uses co_filename.  This is,
+# however, a readonly attribute.
+def setModuleName(module, filename):
+    functionType = type(confirmGenerate)
+    classType = type(optparse.Option)
+
+    for i in dir(module):
+        o = getattr(module, i)
+        if hasattr(o, '__file__'): continue
+
+        if type(o) == functionType:
+            setattr(o, '__file__', filename)
+        elif type(o) == classType:
+            setattr(o, '__file__', filename)
+            # TODO: assign member __file__'s?
+        #print i, type(o)
+
+
+#from cStringIO import StringIO
+
+def loadModuleString(moduleSource):
+    # Below broken, imp doesn't believe its being passed a file:
+    #    ValueError: load_module arg#2 should be a file or None
+    #
+    #f = StringIO(moduleCodeDict[k])
+    #tmp = imp.load_module(k, f, k, (".py", "r", imp.PY_SOURCE))
+    tmp = imp.new_module(k)
+    exec moduleCodeDict[k] in tmp.__dict__
+    setModuleName(tmp, k)
+    return tmp
+
+import py_compile
+
+def loadModuleFile(moduleName, filePath):
+    with open(filePath, 'r') as f:
+        return imp.load_module(moduleName, f, "%s.py" % moduleName, (".py", "r", imp.PY_SOURCE))
+
+
+def readFile(path, root=""):
+    "Read file from disk at specified path and return as string"
+    with open(os.path.join(root, path), 'r') as handle:
+        return handle.read()
+
+
+#######################################################################
+# Error Hint Map
+#######################################################################
+
+# TODO: use these
+ERROR_HINT_MAP = {
+  'q1': {
+    "": """
+      We noticed that your project threw an IndexError on q1.
+      While many things may cause this, it may have been from
+      assuming a certain number of successors from a state space
+      or assuming a certain number of actions available from a given
+      state. Try making your code more general (no hardcoded indices)
+      and submit again!
+    """
+  },
+  'q3': {
+      "": """
+        We noticed that your project threw an AttributeError on q3.
+        While many things may cause this, it may have been from assuming
+        a certain size or structure to the state space. For example, if you have
+        a line of code assuming that the state is (x, y) and we run your code
+        on a state space with (x, y, z), this error could be thrown. Try
+        making your code more general and submit again!
+
+    """
+  }
+}
+
+import pprint
+
+def splitStrings(d):
+    d2 = dict(d)
+    for k in d:
+        if k[0:2] == "__":
+            del d2[k]
+            continue
+        if d2[k].find("\n") >= 0:
+            d2[k] = d2[k].split("\n")
+    return d2
+
+
+def printTest(testDict, solutionDict):
+    pp = pprint.PrettyPrinter(indent=4)
+    print "Test case:"
+    for line in testDict["__raw_lines__"]:
+        print "   |", line
+    print "Solution:"
+    for line in solutionDict["__raw_lines__"]:
+        print "   |", line
+
+
+def runTest(testName, moduleDict, printTestCase=False, display=None):
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    testDict = testParser.TestParser(testName + ".test").parse()
+    solutionDict = testParser.TestParser(testName + ".solution").parse()
+    test_out_file = os.path.join('%s.test_output' % testName)
+    testDict['test_out_file'] = test_out_file
+    testClass = getattr(projectTestClasses, testDict['class'])
+
+    questionClass = getattr(testClasses, 'Question')
+    question = questionClass({'max_points': 0}, display)
+    testCase = testClass(question, testDict)
+
+    if printTestCase:
+        printTest(testDict, solutionDict)
+
+    # This is a fragile hack to create a stub grades object
+    grades = grading.Grades(projectParams.PROJECT_NAME, [(None,0)])
+    testCase.execute(grades, moduleDict, solutionDict)
+
+
+# returns all the tests you need to run in order to run question
+def getDepends(testParser, testRoot, question):
+    allDeps = [question]
+    questionDict = testParser.TestParser(os.path.join(testRoot, question, 'CONFIG')).parse()
+    if 'depends' in questionDict:
+        depends = questionDict['depends'].split()
+        for d in depends:
+            # run dependencies first
+            allDeps = getDepends(testParser, testRoot, d) + allDeps
+    return allDeps
+
+# get list of questions to grade
+def getTestSubdirs(testParser, testRoot, questionToGrade):
+    problemDict = testParser.TestParser(os.path.join(testRoot, 'CONFIG')).parse()
+    if questionToGrade != None:
+        questions = getDepends(testParser, testRoot, questionToGrade)
+        if len(questions) > 1:
+            print 'Note: due to dependencies, the following tests will be run: %s' % ' '.join(questions)
+        return questions
+    if 'order' in problemDict:
+        return problemDict['order'].split()
+    return sorted(os.listdir(testRoot))
+
+
+# evaluate student code
+def evaluate(generateSolutions, testRoot, moduleDict, exceptionMap=ERROR_HINT_MAP,
+             edxOutput=False, muteOutput=False, gsOutput=False,
+            printTestCase=False, questionToGrade=None, display=None):
+    # imports of testbench code.  note that the testClasses import must follow
+    # the import of student code due to dependencies
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    questions = []
+    questionDicts = {}
+    test_subdirs = getTestSubdirs(testParser, testRoot, questionToGrade)
+    for q in test_subdirs:
+        subdir_path = os.path.join(testRoot, q)
+        if not os.path.isdir(subdir_path) or q[0] == '.':
+            continue
+
+        # create a question object
+        questionDict = testParser.TestParser(os.path.join(subdir_path, 'CONFIG')).parse()
+        questionClass = getattr(testClasses, questionDict['class'])
+        question = questionClass(questionDict, display)
+        questionDicts[q] = questionDict
+
+        # load test cases into question
+        tests = filter(lambda t: re.match('[^#~.].*\.test\Z', t), os.listdir(subdir_path))
+        tests = map(lambda t: re.match('(.*)\.test\Z', t).group(1), tests)
+        for t in sorted(tests):
+            test_file = os.path.join(subdir_path, '%s.test' % t)
+            solution_file = os.path.join(subdir_path, '%s.solution' % t)
+            test_out_file = os.path.join(subdir_path, '%s.test_output' % t)
+            testDict = testParser.TestParser(test_file).parse()
+            if testDict.get("disabled", "false").lower() == "true":
+                continue
+            testDict['test_out_file'] = test_out_file
+            testClass = getattr(projectTestClasses, testDict['class'])
+            testCase = testClass(question, testDict)
+            def makefun(testCase, solution_file):
+                if generateSolutions:
+                    # write solution file to disk
+                    return lambda grades: testCase.writeSolution(moduleDict, solution_file)
+                else:
+                    # read in solution dictionary and pass as an argument
+                    testDict = testParser.TestParser(test_file).parse()
+                    solutionDict = testParser.TestParser(solution_file).parse()
+                    if printTestCase:
+                        return lambda grades: printTest(testDict, solutionDict) or testCase.execute(grades, moduleDict, solutionDict)
+                    else:
+                        return lambda grades: testCase.execute(grades, moduleDict, solutionDict)
+            question.addTestCase(testCase, makefun(testCase, solution_file))
+
+        # Note extra function is necessary for scoping reasons
+        def makefun(question):
+            return lambda grades: question.execute(grades)
+        setattr(sys.modules[__name__], q, makefun(question))
+        questions.append((q, question.getMaxPoints()))
+
+    grades = grading.Grades(projectParams.PROJECT_NAME, questions,
+                            gsOutput=gsOutput, edxOutput=edxOutput, muteOutput=muteOutput)
+    if questionToGrade == None:
+        for q in questionDicts:
+            for prereq in questionDicts[q].get('depends', '').split():
+                grades.addPrereq(q, prereq)
+
+    grades.grade(sys.modules[__name__], bonusPic = projectParams.BONUS_PIC)
+    return grades.points
+
+
+
+def getDisplay(graphicsByDefault, options=None):
+    graphics = graphicsByDefault
+    if options is not None and options.noGraphics:
+        graphics = False
+    if graphics:
+        try:
+            import graphicsDisplay
+            return graphicsDisplay.PacmanGraphics(1, frameTime=.05)
+        except ImportError:
+            pass
+    import textDisplay
+    return textDisplay.NullGraphics()
+
+
+
+
+if __name__ == '__main__':
+    options = readCommand(sys.argv)
+    if options.generateSolutions:
+        confirmGenerate()
+    codePaths = options.studentCode.split(',')
+    # moduleCodeDict = {}
+    # for cp in codePaths:
+    #     moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+    #     moduleCodeDict[moduleName] = readFile(cp, root=options.codeRoot)
+    # moduleCodeDict['projectTestClasses'] = readFile(options.testCaseCode, root=options.codeRoot)
+    # moduleDict = loadModuleDict(moduleCodeDict)
+
+    moduleDict = {}
+    for cp in codePaths:
+        moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+        moduleDict[moduleName] = loadModuleFile(moduleName, os.path.join(options.codeRoot, cp))
+    moduleName = re.match('.*?([^/]*)\.py', options.testCaseCode).group(1)
+    moduleDict['projectTestClasses'] = loadModuleFile(moduleName, os.path.join(options.codeRoot, options.testCaseCode))
+
+
+    if options.runTest != None:
+        runTest(options.runTest, moduleDict, printTestCase=options.printTestCase, display=getDisplay(True, options))
+    else:
+        evaluate(options.generateSolutions, options.testRoot, moduleDict,
+            gsOutput=options.gsOutput,
+            edxOutput=options.edxOutput, muteOutput=options.muteOutput, printTestCase=options.printTestCase,
+            questionToGrade=options.gradeQuestion, display=getDisplay(options.gradeQuestion!=None, options))
diff --git a/cs188-projects-master/P5 Ghostbusters/busters.py b/cs188-projects-master/P5 Ghostbusters/busters.py
new file mode 100644
index 0000000..c06226c
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/busters.py	
@@ -0,0 +1,566 @@
+# busters.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Busters.py is a vengeful variant of Pacman where Pacman hunts ghosts, but
+cannot see them.  Numbers at the bottom of the display are noisy distance
+readings to each remaining ghost.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from game import Configuration
+from util import nearestPoint
+from util import manhattanDistance
+import sys, util, types, time, random, layout, os
+
+########################################
+# Parameters for noisy sensor readings #
+########################################
+
+SONAR_NOISE_RANGE = 15 # Must be odd
+SONAR_MAX = (SONAR_NOISE_RANGE - 1)/2
+SONAR_NOISE_VALUES = [i - SONAR_MAX for i in range(SONAR_NOISE_RANGE)]
+SONAR_DENOMINATOR = 2 ** SONAR_MAX  + 2 ** (SONAR_MAX + 1) - 2.0
+SONAR_NOISE_PROBS = [2 ** (SONAR_MAX-abs(v)) / SONAR_DENOMINATOR  for v in SONAR_NOISE_VALUES]
+
+def getNoisyDistance(pos1, pos2):
+    if pos2[1] == 1: return None
+    distance = util.manhattanDistance(pos1, pos2)
+    return max(0, distance + util.sample(SONAR_NOISE_PROBS, SONAR_NOISE_VALUES))
+
+observationDistributions = {}
+def getObservationProbability(noisyDistance, trueDistance):
+    """
+    Returns the probability P( noisyDistance | trueDistance ).
+    """
+    global observationDistributions
+    if noisyDistance not in observationDistributions:
+        distribution = util.Counter()
+        for error , prob in zip(SONAR_NOISE_VALUES, SONAR_NOISE_PROBS):
+            distribution[max(1, noisyDistance - error)] += prob
+        observationDistributions[noisyDistance] = distribution
+    return observationDistributions[noisyDistance][trueDistance]
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def getResult( self, agentIndex, action):
+        """
+        Returns the state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a result of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+        else:
+            GhostRules.decrementTimer( state.data.agentStates[agentIndex] )
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+        p = state.getPacmanPosition()
+        state.data.ghostDistances = [getNoisyDistance(p, state.getGhostPosition(i)) for i in range(1,state.getNumAgents())]
+        if agentIndex == self.getNumAgents() - 1:
+            state.numMoves += 1
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def getPacmanResult( self, action ):
+        """
+        Generates the result state after the specified pacman action
+        """
+        return self.getResult( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return self.data.score
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+    ##############################
+    # Additions for Busters Pacman #
+    ##############################
+
+    def getLivingGhosts(self):
+        """
+        Returns a list of booleans indicating which ghosts are not yet captured.
+
+        The first entry (a placeholder for Pacman's index) is always False.
+        """
+        return self.livingGhosts
+
+    def setGhostNotLiving(self, index):
+        self.livingGhosts[index] = False
+
+    def isLose( self ):
+        return self.maxMoves > 0 and self.numMoves >= self.maxMoves
+
+    def isWin( self ):
+        return self.livingGhosts.count(True) == 0
+
+    def getNoisyGhostDistances(self):
+        """
+        Returns a noisy distance to each ghost.
+        """
+        return self.data.ghostDistances
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None:
+            self.data = GameStateData(prevState.data)
+            self.livingGhosts = prevState.livingGhosts[:]
+            self.numMoves = prevState.numMoves;
+            self.maxMoves = prevState.maxMoves;
+        else: # Initial state
+            self.data = GameStateData()
+            self.numMoves = 0;
+            self.maxMoves = -1;
+        self.data.ghostDistances = []
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        state.data.ghostDistances = self.data.ghostDistances
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( str( self ) )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+        self.livingGhosts = [False] + [True for i in range(numGhostAgents)]
+        self.data.ghostDistances = [getNoisyDistance(self.getPacmanPosition(), self.getGhostPosition(i)) for i in range(1, self.getNumAgents())]
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise "Pacman's index passed to getGhostPosition"
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0:
+            raise "Pacman's index passed to getGhostPosition"
+        return self.data.agentStates[agentIndex]
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class BustersGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, maxMoves= -1 ):
+        agents = [pacmanAgent] + ghostAgents
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents))
+        game = Game(agents, display, self)
+        game.state = initState
+        game.state.maxMoves = maxMoves
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        game.gameOver = True
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise "Illegal action", action
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, 1)
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+    applyAction = staticmethod( applyAction )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    def getLegalActions( state, ghostIndex ):
+        conf = state.getGhostState( ghostIndex ).configuration
+        return Actions.getPossibleActions( conf, state.data.layout.walls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action, ghostIndex):
+        legal = GhostRules.getLegalActions( state, ghostIndex )
+        if action not in legal:
+            raise Exception("Illegal ghost action: " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        vector = Actions.directionToVector( action, 1 )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def decrementTimer( ghostState):
+        timer = ghostState.scaredTimer
+        if timer == 1:
+            ghostState.configuration.pos = nearestPoint( ghostState.configuration.pos )
+        ghostState.scaredTimer = max( 0, timer - 1 )
+    decrementTimer = staticmethod( decrementTimer )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        state.data.scoreChange += 200
+        GhostRules.placeGhost(ghostState, agentIndex)
+        # Added for first-person
+        state.data._eaten[agentIndex] = True
+        state.setGhostNotLiving(agentIndex)
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(ghostState, agentIndex):
+        pos = (agentIndex * 2 - 1, 1)
+        direction = Directions.STOP
+        ghostState.configuration = Configuration(pos, direction)
+    placeGhost = staticmethod( placeGhost )
+
+class RandomGhost:
+    def __init__( self, index ):
+        self.index = index
+
+    def getAction( self, state ):
+        return random.choice( state.getLegalActions( self.index ) )
+
+    def getDistribution( self, state ):
+        actions = state.getLegalActions( self.index )
+        prob = 1.0 / len( actions )
+        return [( prob, action ) for action in actions]
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python busters.py 
+    EXAMPLE:    python busters.py --layout bigHunt
+                  - starts an interactive game on a big board
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='oneHunt')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='BustersKeyboardAgent')
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma seperated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='RandomGhost')
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=4)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed',
+                      help='Fixes the random seed to always play the same game', default=False)
+    parser.add_option('-s', '--showGhosts', action='store_true', dest='showGhosts',
+                      help='Renders the ghosts in the display (cheating)', default=False)
+    parser.add_option('-t', '--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+
+    options, otherjunk = parser.parse_args()
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + otherjunk)
+    args = dict()
+
+    # Fix the random seed
+    if options.fixRandomSeed: random.seed('bustersPacman')
+
+    # Choose a layout
+    args['layout'] = layout.getLayout( options.layout )
+    if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, options.quietGraphics)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a Pacman agent
+    noKeyboard = options.quietGraphics
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    agentOpts['ghostAgents'] = args['ghosts']
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    import graphicsDisplay
+    args['display'] = graphicsDisplay.FirstPersonPacmanGraphics(options.zoom, \
+                                                                  options.showGhosts, \
+                                                                  frameTime = options.frameTime)
+    args['numGames'] = options.numGames
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def runGames( layout, pacman, ghosts, display, numGames, maxMoves=-1):
+    # Hack for agents writing to the display
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = BustersGameRules()
+    games = []
+
+    for i in range( numGames ):
+        game = rules.newGame( layout, pacman, ghosts, display, maxMoves )
+        game.run()
+        games.append(game)
+
+    if numGames > 1:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print 'Average Score:', sum(scores) / float(len(scores))
+        print 'Scores:       ', ', '.join([str(score) for score in scores])
+        print 'Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate)
+        print 'Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins])
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
diff --git a/cs188-projects-master/P5 Ghostbusters/busters.pyc b/cs188-projects-master/P5 Ghostbusters/busters.pyc
new file mode 100644
index 0000000..2071622
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/busters.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/bustersAgents.py b/cs188-projects-master/P5 Ghostbusters/bustersAgents.py
new file mode 100644
index 0000000..8d37680
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/bustersAgents.py	
@@ -0,0 +1,165 @@
+# bustersAgents.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import util
+from game import Agent
+from game import Directions
+from keyboardAgents import KeyboardAgent
+import inference
+import busters
+
+class NullGraphics:
+    "Placeholder for graphics"
+    def initialize(self, state, isBlue = False):
+        pass
+    def update(self, state):
+        pass
+    def pause(self):
+        pass
+    def draw(self, state):
+        pass
+    def updateDistributions(self, dist):
+        pass
+    def finish(self):
+        pass
+
+class KeyboardInference(inference.InferenceModule):
+    """
+    Basic inference module for use with the keyboard.
+    """
+    def initializeUniformly(self, gameState):
+        "Begin with a uniform distribution over ghost positions."
+        self.beliefs = util.Counter()
+        for p in self.legalPositions: self.beliefs[p] = 1.0
+        self.beliefs.normalize()
+
+    def observeUpdate(self, observation, gameState):
+        noisyDistance = observation
+        pacmanPosition = gameState.getPacmanPosition()
+        allPossible = util.Counter()
+        for p in self.legalPositions:
+            trueDistance = util.manhattanDistance(p, pacmanPosition)
+            if noisyDistance != None and \
+                    busters.getObservationProbability(noisyDistance, trueDistance) > 0:
+                allPossible[p] = 1.0
+        allPossible.normalize()
+        self.beliefs = allPossible
+
+    def elapseTime(self, gameState):
+        pass
+
+    def getBeliefDistribution(self):
+        return self.beliefs
+
+
+class BustersAgent:
+    "An agent that tracks and displays its beliefs about ghost positions."
+
+    def __init__( self, index = 0, inference = "ExactInference", ghostAgents = None, observeEnable = True, elapseTimeEnable = True):
+        inferenceType = util.lookup(inference, globals())
+        self.inferenceModules = [inferenceType(a) for a in ghostAgents]
+        self.observeEnable = observeEnable
+        self.elapseTimeEnable = elapseTimeEnable
+
+    def registerInitialState(self, gameState):
+        "Initializes beliefs and inference modules"
+        import __main__
+        self.display = __main__._display
+        for inference in self.inferenceModules:
+            inference.initialize(gameState)
+        self.ghostBeliefs = [inf.getBeliefDistribution() for inf in self.inferenceModules]
+        self.firstMove = True
+
+    def observationFunction(self, gameState):
+        "Removes the ghost states from the gameState"
+        agents = gameState.data.agentStates
+        gameState.data.agentStates = [agents[0]] + [None for i in range(1, len(agents))]
+        return gameState
+
+    def getAction(self, gameState):
+        "Updates beliefs, then chooses an action based on updated beliefs."
+        for index, inf in enumerate(self.inferenceModules):
+            if not self.firstMove and self.elapseTimeEnable:
+                inf.elapseTime(gameState)
+            self.firstMove = False
+            if self.observeEnable:
+                inf.observe(gameState)
+            self.ghostBeliefs[index] = inf.getBeliefDistribution()
+        self.display.updateDistributions(self.ghostBeliefs)
+        return self.chooseAction(gameState)
+
+    def chooseAction(self, gameState):
+        "By default, a BustersAgent just stops.  This should be overridden."
+        return Directions.STOP
+
+class BustersKeyboardAgent(BustersAgent, KeyboardAgent):
+    "An agent controlled by the keyboard that displays beliefs about ghost positions."
+
+    def __init__(self, index = 0, inference = "KeyboardInference", ghostAgents = None):
+        KeyboardAgent.__init__(self, index)
+        BustersAgent.__init__(self, index, inference, ghostAgents)
+
+    def getAction(self, gameState):
+        return BustersAgent.getAction(self, gameState)
+
+    def chooseAction(self, gameState):
+        return KeyboardAgent.getAction(self, gameState)
+
+from distanceCalculator import Distancer
+from game import Actions
+from game import Directions
+
+class GreedyBustersAgent(BustersAgent):
+    "An agent that charges the closest ghost."
+
+    def registerInitialState(self, gameState):
+        "Pre-computes the distance between every two points."
+        BustersAgent.registerInitialState(self, gameState)
+        self.distancer = Distancer(gameState.data.layout, False)
+
+    def chooseAction(self, gameState):
+        """
+        First computes the most likely position of each ghost that has
+        not yet been captured, then chooses an action that brings
+        Pacman closest to the closest ghost (according to mazeDistance!).
+        """
+        pacmanPosition = gameState.getPacmanPosition()
+        legal = [a for a in gameState.getLegalPacmanActions()]
+        livingGhosts = gameState.getLivingGhosts()
+        livingGhostPositionDistributions = \
+            [beliefs for i, beliefs in enumerate(self.ghostBeliefs)
+             if livingGhosts[i+1]]
+        "*** YOUR CODE HERE ***"
+        distance = float("inf")
+        ghost_position = None
+        for dist in livingGhostPositionDistributions:
+            temp_pos = dist.argMax()
+            temp_distance = self.distancer.getDistance(pacmanPosition, temp_pos)
+            if temp_distance < distance:
+                distance = temp_distance
+                ghost_position = temp_pos
+
+        dist = float("inf")
+        action = None
+        for a in legal:
+            succ_pos = Actions.getSuccessor(pacmanPosition, a)
+            temp = self.distancer.getDistance(succ_pos, ghost_position)
+            if temp < dist:
+                dist = temp
+                action = a
+        return action
+
+
+
+
diff --git a/cs188-projects-master/P5 Ghostbusters/bustersAgents.pyc b/cs188-projects-master/P5 Ghostbusters/bustersAgents.pyc
new file mode 100644
index 0000000..2729aba
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diff --git a/cs188-projects-master/P5 Ghostbusters/bustersGhostAgents.py b/cs188-projects-master/P5 Ghostbusters/bustersGhostAgents.py
new file mode 100644
index 0000000..16cf6d7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/bustersGhostAgents.py	
@@ -0,0 +1,60 @@
+# bustersGhostAgents.py
+# ---------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import ghostAgents
+from game import Directions
+from game import Actions
+from util import manhattanDistance
+import util
+
+class StationaryGhost( ghostAgents.GhostAgent ):
+    def getDistribution( self, state ):
+        dist = util.Counter()
+        dist[Directions.STOP] = 1.0
+        return dist
+
+class DispersingGhost( ghostAgents.GhostAgent ):
+    "Chooses an action that distances the ghost from the other ghosts with probability spreadProb."
+    def __init__( self, index, spreadProb=0.5):
+        self.index = index
+        self.spreadProb = spreadProb
+
+    def getDistribution( self, state ):
+        ghostState = state.getGhostState( self.index )
+        legalActions = state.getLegalActions( self.index )
+        pos = state.getGhostPosition( self.index )
+        isScared = ghostState.scaredTimer > 0
+
+        speed = 1
+        if isScared: speed = 0.5
+        actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions]
+        newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors]
+
+        # get other ghost positions
+        others = [i for i in range(1,state.getNumAgents()) if i != self.index]
+        for a in others: assert state.getGhostState(a) != None, "Ghost position unspecified in state!"
+        otherGhostPositions = [state.getGhostPosition(a) for a in others if state.getGhostPosition(a)[1] > 1]
+
+        # for each action, get the sum of inverse squared distances to the other ghosts
+        sumOfDistances = []
+        for pos in newPositions:
+            sumOfDistances.append( sum([(1+manhattanDistance(pos, g))**(-2) for g in otherGhostPositions]) )
+
+        bestDistance = min(sumOfDistances)
+        numBest = [bestDistance == dist for dist in sumOfDistances].count(True)
+        distribution = util.Counter()
+        for action, distance in zip(legalActions, sumOfDistances):
+            if distance == bestDistance: distribution[action] += self.spreadProb / numBest
+            distribution[action] += (1 - self.spreadProb) / len(legalActions)
+        return distribution
diff --git a/cs188-projects-master/P5 Ghostbusters/bustersGhostAgents.pyc b/cs188-projects-master/P5 Ghostbusters/bustersGhostAgents.pyc
new file mode 100644
index 0000000..f86812c
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diff --git a/cs188-projects-master/P5 Ghostbusters/distanceCalculator.py b/cs188-projects-master/P5 Ghostbusters/distanceCalculator.py
new file mode 100644
index 0000000..d25fa87
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/distanceCalculator.py	
@@ -0,0 +1,191 @@
+# distanceCalculator.py
+# ---------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+This file contains a Distancer object which computes and
+caches the shortest path between any two points in the maze. It
+returns a Manhattan distance between two points if the maze distance
+has not yet been calculated.
+
+Example:
+distancer = Distancer(gameState.data.layout)
+distancer.getDistance( (1,1), (10,10) )
+
+The Distancer object also serves as an example of sharing data
+safely among agents via a global dictionary (distanceMap),
+and performing asynchronous computation via threads. These
+examples may help you in designing your own objects, but you
+shouldn't need to modify the Distancer code in order to use its
+distances.
+"""
+
+import threading, sys, time, random
+
+class Distancer:
+  def __init__(self, layout, background=True, default=10000):
+    """
+    Initialize with Distancer(layout).  Changing default is unnecessary.
+
+    This will start computing maze distances in the background and use them
+    as soon as they are ready.  In the meantime, it returns manhattan distance.
+
+    To compute all maze distances on initialization, set background=False
+    """
+    self._distances = None
+    self.default = default
+
+    # Start computing distances in the background; when the dc finishes,
+    # it will fill in self._distances for us.
+    dc = DistanceCalculator()
+    dc.setAttr(layout, self)
+    dc.setDaemon(True)
+    if background:
+      dc.start()
+    else:
+      dc.run()
+
+  def getDistance(self, pos1, pos2):
+    """
+    The getDistance function is the only one you'll need after you create the object.
+    """
+    if self._distances == None:
+      return manhattanDistance(pos1, pos2)
+    if isInt(pos1) and isInt(pos2):
+      return self.getDistanceOnGrid(pos1, pos2)
+    pos1Grids = getGrids2D(pos1)
+    pos2Grids = getGrids2D(pos2)
+    bestDistance = self.default
+    for pos1Snap, snap1Distance in pos1Grids:
+      for pos2Snap, snap2Distance in pos2Grids:
+        gridDistance = self.getDistanceOnGrid(pos1Snap, pos2Snap)
+        distance = gridDistance + snap1Distance + snap2Distance
+        if bestDistance > distance:
+          bestDistance = distance
+    return bestDistance
+
+  def getDistanceOnGrid(self, pos1, pos2):
+    key = (pos1, pos2)
+    if key in self._distances:
+      return self._distances[key]
+    else:
+      raise Exception("Positions not in grid: " + str(key))
+
+  def isReadyForMazeDistance(self):
+    return self._distances != None
+
+def manhattanDistance(x, y ):
+  return abs( x[0] - y[0] ) + abs( x[1] - y[1] )
+
+def isInt(pos):
+  x, y = pos
+  return x == int(x) and y == int(y)
+
+def getGrids2D(pos):
+  grids = []
+  for x, xDistance in getGrids1D(pos[0]):
+    for y, yDistance in getGrids1D(pos[1]):
+      grids.append(((x, y), xDistance + yDistance))
+  return grids
+
+def getGrids1D(x):
+  intX = int(x)
+  if x == int(x):
+    return [(x, 0)]
+  return [(intX, x-intX), (intX+1, intX+1-x)]
+
+##########################################
+# MACHINERY FOR COMPUTING MAZE DISTANCES #
+##########################################
+
+distanceMap = {}
+distanceMapSemaphore = threading.Semaphore(1)
+distanceThread = None
+
+def waitOnDistanceCalculator(t):
+  global distanceThread
+  if distanceThread != None:
+    time.sleep(t)
+
+class DistanceCalculator(threading.Thread):
+  def setAttr(self, layout, distancer, default = 10000):
+    self.layout = layout
+    self.distancer = distancer
+    self.default = default
+
+  def run(self):
+    global distanceMap, distanceThread
+    distanceMapSemaphore.acquire()
+
+    if self.layout.walls not in distanceMap:
+      if distanceThread != None: raise Exception('Multiple distance threads')
+      distanceThread = self
+
+      distances = computeDistances(self.layout)
+      print >>sys.stdout, '[Distancer]: Switching to maze distances'
+
+      distanceMap[self.layout.walls] = distances
+      distanceThread = None
+    else:
+      distances = distanceMap[self.layout.walls]
+
+    distanceMapSemaphore.release()
+    self.distancer._distances = distances
+
+def computeDistances(layout):
+    distances = {}
+    allNodes = layout.walls.asList(False)
+    for source in allNodes:
+        dist = {}
+        closed = {}
+        for node in allNodes:
+            dist[node] = sys.maxint
+        import util
+        queue = util.PriorityQueue()
+        queue.push(source, 0)
+        dist[source] = 0
+        while not queue.isEmpty():
+            node = queue.pop()
+            if node in closed:
+                continue
+            closed[node] = True
+            nodeDist = dist[node]
+            adjacent = []
+            x, y = node
+            if not layout.isWall((x,y+1)):
+                adjacent.append((x,y+1))
+            if not layout.isWall((x,y-1)):
+                adjacent.append((x,y-1) )
+            if not layout.isWall((x+1,y)):
+                adjacent.append((x+1,y) )
+            if not layout.isWall((x-1,y)):
+                adjacent.append((x-1,y))
+            for other in adjacent:
+                if not other in dist:
+                    continue
+                oldDist = dist[other]
+                newDist = nodeDist+1
+                if newDist < oldDist:
+                    dist[other] = newDist
+                    queue.push(other, newDist)
+        for target in allNodes:
+            distances[(target, source)] = dist[target]
+    return distances
+
+
+def getDistanceOnGrid(distances, pos1, pos2):
+    key = (pos1, pos2)
+    if key in distances:
+      return distances[key]
+    return 100000
+
diff --git a/cs188-projects-master/P5 Ghostbusters/distanceCalculator.pyc b/cs188-projects-master/P5 Ghostbusters/distanceCalculator.pyc
new file mode 100644
index 0000000..9c4bd9f
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/distanceCalculator.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/game.py b/cs188-projects-master/P5 Ghostbusters/game.py
new file mode 100644
index 0000000..0f93827
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/game.py	
@@ -0,0 +1,729 @@
+# game.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# game.py
+# -------
+# Licensing Information: Please do not distribute or publish solutions to this
+# project. You are free to use and extend these projects for educational
+# purposes. The Pacman AI projects were developed at UC Berkeley, primarily by
+# John DeNero (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# For more info, see http://inst.eecs.berkeley.edu/~cs188/sp09/pacman.html
+
+from util import *
+import time, os
+import traceback
+import sys
+
+#######################
+# Parts worth reading #
+#######################
+
+class Agent:
+    """
+    An agent must define a getAction method, but may also define the
+    following methods which will be called if they exist:
+
+    def registerInitialState(self, state): # inspects the starting state
+    """
+    def __init__(self, index=0):
+        self.index = index
+
+    def getAction(self, state):
+        """
+        The Agent will receive a GameState (from either {pacman, capture, sonar}.py) and
+        must return an action from Directions.{North, South, East, West, Stop}
+        """
+        raiseNotDefined()
+
+class Directions:
+    NORTH = 'North'
+    SOUTH = 'South'
+    EAST = 'East'
+    WEST = 'West'
+    STOP = 'Stop'
+
+    LEFT =       {NORTH: WEST,
+                   SOUTH: EAST,
+                   EAST:  NORTH,
+                   WEST:  SOUTH,
+                   STOP:  STOP}
+
+    RIGHT =      dict([(y,x) for x, y in LEFT.items()])
+
+    REVERSE = {NORTH: SOUTH,
+               SOUTH: NORTH,
+               EAST: WEST,
+               WEST: EAST,
+               STOP: STOP}
+
+class Configuration:
+    """
+    A Configuration holds the (x,y) coordinate of a character, along with its
+    traveling direction.
+
+    The convention for positions, like a graph, is that (0,0) is the lower left corner, x increases
+    horizontally and y increases vertically.  Therefore, north is the direction of increasing y, or (0,1).
+    """
+
+    def __init__(self, pos, direction):
+        self.pos = pos
+        self.direction = direction
+
+    def getPosition(self):
+        return (self.pos)
+
+    def getDirection(self):
+        return self.direction
+
+    def isInteger(self):
+        x,y = self.pos
+        return x == int(x) and y == int(y)
+
+    def __eq__(self, other):
+        if other == None: return False
+        return (self.pos == other.pos and self.direction == other.direction)
+
+    def __hash__(self):
+        x = hash(self.pos)
+        y = hash(self.direction)
+        return hash(x + 13 * y)
+
+    def __str__(self):
+        return "(x,y)="+str(self.pos)+", "+str(self.direction)
+
+    def generateSuccessor(self, vector):
+        """
+        Generates a new configuration reached by translating the current
+        configuration by the action vector.  This is a low-level call and does
+        not attempt to respect the legality of the movement.
+
+        Actions are movement vectors.
+        """
+        x, y= self.pos
+        dx, dy = vector
+        direction = Actions.vectorToDirection(vector)
+        if direction == Directions.STOP:
+            direction = self.direction # There is no stop direction
+        return Configuration((x + dx, y+dy), direction)
+
+class AgentState:
+    """
+    AgentStates hold the state of an agent (configuration, speed, scared, etc).
+    """
+
+    def __init__( self, startConfiguration, isPacman ):
+        self.start = startConfiguration
+        self.configuration = startConfiguration
+        self.isPacman = isPacman
+        self.scaredTimer = 0
+        self.numCarrying = 0
+        self.numReturned = 0
+
+    def __str__( self ):
+        if self.isPacman:
+            return "Pacman: " + str( self.configuration )
+        else:
+            return "Ghost: " + str( self.configuration )
+
+    def __eq__( self, other ):
+        if other == None:
+            return False
+        return self.configuration == other.configuration and self.scaredTimer == other.scaredTimer
+
+    def __hash__(self):
+        return hash(hash(self.configuration) + 13 * hash(self.scaredTimer))
+
+    def copy( self ):
+        state = AgentState( self.start, self.isPacman )
+        state.configuration = self.configuration
+        state.scaredTimer = self.scaredTimer
+        state.numCarrying = self.numCarrying
+        state.numReturned = self.numReturned
+        return state
+
+    def getPosition(self):
+        if self.configuration == None: return None
+        return self.configuration.getPosition()
+
+    def getDirection(self):
+        return self.configuration.getDirection()
+
+class Grid:
+    """
+    A 2-dimensional array of objects backed by a list of lists.  Data is accessed
+    via grid[x][y] where (x,y) are positions on a Pacman map with x horizontal,
+    y vertical and the origin (0,0) in the bottom left corner.
+
+    The __str__ method constructs an output that is oriented like a pacman board.
+    """
+    def __init__(self, width, height, initialValue=False, bitRepresentation=None):
+        if initialValue not in [False, True]: raise Exception('Grids can only contain booleans')
+        self.CELLS_PER_INT = 30
+
+        self.width = width
+        self.height = height
+        self.data = [[initialValue for y in range(height)] for x in range(width)]
+        if bitRepresentation:
+            self._unpackBits(bitRepresentation)
+
+    def __getitem__(self, i):
+        return self.data[i]
+
+    def __setitem__(self, key, item):
+        self.data[key] = item
+
+    def __str__(self):
+        out = [[str(self.data[x][y])[0] for x in range(self.width)] for y in range(self.height)]
+        out.reverse()
+        return '\n'.join([''.join(x) for x in out])
+
+    def __eq__(self, other):
+        if other == None: return False
+        return self.data == other.data
+
+    def __hash__(self):
+        # return hash(str(self))
+        base = 1
+        h = 0
+        for l in self.data:
+            for i in l:
+                if i:
+                    h += base
+                base *= 2
+        return hash(h)
+
+    def copy(self):
+        g = Grid(self.width, self.height)
+        g.data = [x[:] for x in self.data]
+        return g
+
+    def deepCopy(self):
+        return self.copy()
+
+    def shallowCopy(self):
+        g = Grid(self.width, self.height)
+        g.data = self.data
+        return g
+
+    def count(self, item =True ):
+        return sum([x.count(item) for x in self.data])
+
+    def asList(self, key = True):
+        list = []
+        for x in range(self.width):
+            for y in range(self.height):
+                if self[x][y] == key: list.append( (x,y) )
+        return list
+
+    def packBits(self):
+        """
+        Returns an efficient int list representation
+
+        (width, height, bitPackedInts...)
+        """
+        bits = [self.width, self.height]
+        currentInt = 0
+        for i in range(self.height * self.width):
+            bit = self.CELLS_PER_INT - (i % self.CELLS_PER_INT) - 1
+            x, y = self._cellIndexToPosition(i)
+            if self[x][y]:
+                currentInt += 2 ** bit
+            if (i + 1) % self.CELLS_PER_INT == 0:
+                bits.append(currentInt)
+                currentInt = 0
+        bits.append(currentInt)
+        return tuple(bits)
+
+    def _cellIndexToPosition(self, index):
+        x = index / self.height
+        y = index % self.height
+        return x, y
+
+    def _unpackBits(self, bits):
+        """
+        Fills in data from a bit-level representation
+        """
+        cell = 0
+        for packed in bits:
+            for bit in self._unpackInt(packed, self.CELLS_PER_INT):
+                if cell == self.width * self.height: break
+                x, y = self._cellIndexToPosition(cell)
+                self[x][y] = bit
+                cell += 1
+
+    def _unpackInt(self, packed, size):
+        bools = []
+        if packed < 0: raise ValueError, "must be a positive integer"
+        for i in range(size):
+            n = 2 ** (self.CELLS_PER_INT - i - 1)
+            if packed >= n:
+                bools.append(True)
+                packed -= n
+            else:
+                bools.append(False)
+        return bools
+
+def reconstituteGrid(bitRep):
+    if type(bitRep) is not type((1,2)):
+        return bitRep
+    width, height = bitRep[:2]
+    return Grid(width, height, bitRepresentation= bitRep[2:])
+
+####################################
+# Parts you shouldn't have to read #
+####################################
+
+class Actions:
+    """
+    A collection of static methods for manipulating move actions.
+    """
+    # Directions
+    _directions = {Directions.NORTH: (0, 1),
+                   Directions.SOUTH: (0, -1),
+                   Directions.EAST:  (1, 0),
+                   Directions.WEST:  (-1, 0),
+                   Directions.STOP:  (0, 0)}
+
+    _directionsAsList = _directions.items()
+
+    TOLERANCE = .001
+
+    def reverseDirection(action):
+        if action == Directions.NORTH:
+            return Directions.SOUTH
+        if action == Directions.SOUTH:
+            return Directions.NORTH
+        if action == Directions.EAST:
+            return Directions.WEST
+        if action == Directions.WEST:
+            return Directions.EAST
+        return action
+    reverseDirection = staticmethod(reverseDirection)
+
+    def vectorToDirection(vector):
+        dx, dy = vector
+        if dy > 0:
+            return Directions.NORTH
+        if dy < 0:
+            return Directions.SOUTH
+        if dx < 0:
+            return Directions.WEST
+        if dx > 0:
+            return Directions.EAST
+        return Directions.STOP
+    vectorToDirection = staticmethod(vectorToDirection)
+
+    def directionToVector(direction, speed = 1.0):
+        dx, dy =  Actions._directions[direction]
+        return (dx * speed, dy * speed)
+    directionToVector = staticmethod(directionToVector)
+
+    def getPossibleActions(config, walls):
+        possible = []
+        x, y = config.pos
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+
+        # In between grid points, all agents must continue straight
+        if (abs(x - x_int) + abs(y - y_int)  > Actions.TOLERANCE):
+            return [config.getDirection()]
+
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_y = y_int + dy
+            next_x = x_int + dx
+            if not walls[next_x][next_y]: possible.append(dir)
+
+        return possible
+
+    getPossibleActions = staticmethod(getPossibleActions)
+
+    def getLegalNeighbors(position, walls):
+        x,y = position
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+        neighbors = []
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_x = x_int + dx
+            if next_x < 0 or next_x == walls.width: continue
+            next_y = y_int + dy
+            if next_y < 0 or next_y == walls.height: continue
+            if not walls[next_x][next_y]: neighbors.append((next_x, next_y))
+        return neighbors
+    getLegalNeighbors = staticmethod(getLegalNeighbors)
+
+    def getSuccessor(position, action):
+        dx, dy = Actions.directionToVector(action)
+        x, y = position
+        return (x + dx, y + dy)
+    getSuccessor = staticmethod(getSuccessor)
+
+class GameStateData:
+    """
+
+    """
+    def __init__( self, prevState = None ):
+        """
+        Generates a new data packet by copying information from its predecessor.
+        """
+        if prevState != None:
+            self.food = prevState.food.shallowCopy()
+            self.capsules = prevState.capsules[:]
+            self.agentStates = self.copyAgentStates( prevState.agentStates )
+            self.layout = prevState.layout
+            self._eaten = prevState._eaten
+            self.score = prevState.score
+
+        self._foodEaten = None
+        self._foodAdded = None
+        self._capsuleEaten = None
+        self._agentMoved = None
+        self._lose = False
+        self._win = False
+        self.scoreChange = 0
+
+    def deepCopy( self ):
+        state = GameStateData( self )
+        state.food = self.food.deepCopy()
+        state.layout = self.layout.deepCopy()
+        state._agentMoved = self._agentMoved
+        state._foodEaten = self._foodEaten
+        state._foodAdded = self._foodAdded
+        state._capsuleEaten = self._capsuleEaten
+        return state
+
+    def copyAgentStates( self, agentStates ):
+        copiedStates = []
+        for agentState in agentStates:
+            copiedStates.append( agentState.copy() )
+        return copiedStates
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        if other == None: return False
+        # TODO Check for type of other
+        if not self.agentStates == other.agentStates: return False
+        if not self.food == other.food: return False
+        if not self.capsules == other.capsules: return False
+        if not self.score == other.score: return False
+        return True
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        for i, state in enumerate( self.agentStates ):
+            try:
+                int(hash(state))
+            except TypeError, e:
+                print e
+                #hash(state)
+        return int((hash(tuple(self.agentStates)) + 13*hash(self.food) + 113* hash(tuple(self.capsules)) + 7 * hash(self.score)) % 1048575 )
+
+    def __str__( self ):
+        width, height = self.layout.width, self.layout.height
+        map = Grid(width, height)
+        if type(self.food) == type((1,2)):
+            self.food = reconstituteGrid(self.food)
+        for x in range(width):
+            for y in range(height):
+                food, walls = self.food, self.layout.walls
+                map[x][y] = self._foodWallStr(food[x][y], walls[x][y])
+
+        for agentState in self.agentStates:
+            if agentState == None: continue
+            if agentState.configuration == None: continue
+            x,y = [int( i ) for i in nearestPoint( agentState.configuration.pos )]
+            agent_dir = agentState.configuration.direction
+            if agentState.isPacman:
+                map[x][y] = self._pacStr( agent_dir )
+            else:
+                map[x][y] = self._ghostStr( agent_dir )
+
+        for x, y in self.capsules:
+            map[x][y] = 'o'
+
+        return str(map) + ("\nScore: %d\n" % self.score)
+
+    def _foodWallStr( self, hasFood, hasWall ):
+        if hasFood:
+            return '.'
+        elif hasWall:
+            return '%'
+        else:
+            return ' '
+
+    def _pacStr( self, dir ):
+        if dir == Directions.NORTH:
+            return 'v'
+        if dir == Directions.SOUTH:
+            return '^'
+        if dir == Directions.WEST:
+            return '>'
+        return '<'
+
+    def _ghostStr( self, dir ):
+        return 'G'
+        if dir == Directions.NORTH:
+            return 'M'
+        if dir == Directions.SOUTH:
+            return 'W'
+        if dir == Directions.WEST:
+            return '3'
+        return 'E'
+
+    def initialize( self, layout, numGhostAgents ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.food = layout.food.copy()
+        #self.capsules = []
+        self.capsules = layout.capsules[:]
+        self.layout = layout
+        self.score = 0
+        self.scoreChange = 0
+
+        self.agentStates = []
+        numGhosts = 0
+        for isPacman, pos in layout.agentPositions:
+            if not isPacman:
+                if numGhosts == numGhostAgents: continue # Max ghosts reached already
+                else: numGhosts += 1
+            self.agentStates.append( AgentState( Configuration( pos, Directions.STOP), isPacman) )
+        self._eaten = [False for a in self.agentStates]
+
+try:
+    import boinc
+    _BOINC_ENABLED = True
+except:
+    _BOINC_ENABLED = False
+
+class Game:
+    """
+    The Game manages the control flow, soliciting actions from agents.
+    """
+
+    def __init__( self, agents, display, rules, startingIndex=0, muteAgents=False, catchExceptions=False ):
+        self.agentCrashed = False
+        self.agents = agents
+        self.display = display
+        self.rules = rules
+        self.startingIndex = startingIndex
+        self.gameOver = False
+        self.muteAgents = muteAgents
+        self.catchExceptions = catchExceptions
+        self.moveHistory = []
+        self.totalAgentTimes = [0 for agent in agents]
+        self.totalAgentTimeWarnings = [0 for agent in agents]
+        self.agentTimeout = False
+        import cStringIO
+        self.agentOutput = [cStringIO.StringIO() for agent in agents]
+
+    def getProgress(self):
+        if self.gameOver:
+            return 1.0
+        else:
+            return self.rules.getProgress(self)
+
+    def _agentCrash( self, agentIndex, quiet=False):
+        "Helper method for handling agent crashes"
+        if not quiet: traceback.print_exc()
+        self.gameOver = True
+        self.agentCrashed = True
+        self.rules.agentCrash(self, agentIndex)
+
+    OLD_STDOUT = None
+    OLD_STDERR = None
+
+    def mute(self, agentIndex):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        import cStringIO
+        OLD_STDOUT = sys.stdout
+        OLD_STDERR = sys.stderr
+        sys.stdout = self.agentOutput[agentIndex]
+        sys.stderr = self.agentOutput[agentIndex]
+
+    def unmute(self):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        # Revert stdout/stderr to originals
+        sys.stdout = OLD_STDOUT
+        sys.stderr = OLD_STDERR
+
+
+    def run( self ):
+        """
+        Main control loop for game play.
+        """
+        self.display.initialize(self.state.data)
+        self.numMoves = 0
+
+        ###self.display.initialize(self.state.makeObservation(1).data)
+        # inform learning agents of the game start
+        for i in range(len(self.agents)):
+            agent = self.agents[i]
+            if not agent:
+                self.mute(i)
+                # this is a null agent, meaning it failed to load
+                # the other team wins
+                print >>sys.stderr, "Agent %d failed to load" % i
+                self.unmute()
+                self._agentCrash(i, quiet=True)
+                return
+            if ("registerInitialState" in dir(agent)):
+                self.mute(i)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.registerInitialState, int(self.rules.getMaxStartupTime(i)))
+                        try:
+                            start_time = time.time()
+                            timed_func(self.state.deepCopy())
+                            time_taken = time.time() - start_time
+                            self.totalAgentTimes[i] += time_taken
+                        except TimeoutFunctionException:
+                            print >>sys.stderr, "Agent %d ran out of time on startup!" % i
+                            self.unmute()
+                            self.agentTimeout = True
+                            self._agentCrash(i, quiet=True)
+                            return
+                    except Exception,data:
+                        self._agentCrash(i, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    agent.registerInitialState(self.state.deepCopy())
+                ## TODO: could this exceed the total time
+                self.unmute()
+
+        agentIndex = self.startingIndex
+        numAgents = len( self.agents )
+
+        while not self.gameOver:
+            # Fetch the next agent
+            agent = self.agents[agentIndex]
+            move_time = 0
+            skip_action = False
+            # Generate an observation of the state
+            if 'observationFunction' in dir( agent ):
+                self.mute(agentIndex)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.observationFunction, int(self.rules.getMoveTimeout(agentIndex)))
+                        try:
+                            start_time = time.time()
+                            observation = timed_func(self.state.deepCopy())
+                        except TimeoutFunctionException:
+                            skip_action = True
+                        move_time += time.time() - start_time
+                        self.unmute()
+                    except Exception,data:
+                        self._agentCrash(agentIndex, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    observation = agent.observationFunction(self.state.deepCopy())
+                self.unmute()
+            else:
+                observation = self.state.deepCopy()
+
+            # Solicit an action
+            action = None
+            self.mute(agentIndex)
+            if self.catchExceptions:
+                try:
+                    timed_func = TimeoutFunction(agent.getAction, int(self.rules.getMoveTimeout(agentIndex)) - int(move_time))
+                    try:
+                        start_time = time.time()
+                        if skip_action:
+                            raise TimeoutFunctionException()
+                        action = timed_func( observation )
+                    except TimeoutFunctionException:
+                        print >>sys.stderr, "Agent %d timed out on a single move!" % agentIndex
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+
+                    move_time += time.time() - start_time
+
+                    if move_time > self.rules.getMoveWarningTime(agentIndex):
+                        self.totalAgentTimeWarnings[agentIndex] += 1
+                        print >>sys.stderr, "Agent %d took too long to make a move! This is warning %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                        if self.totalAgentTimeWarnings[agentIndex] > self.rules.getMaxTimeWarnings(agentIndex):
+                            print >>sys.stderr, "Agent %d exceeded the maximum number of warnings: %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                            self.agentTimeout = True
+                            self._agentCrash(agentIndex, quiet=True)
+                            self.unmute()
+                            return
+
+                    self.totalAgentTimes[agentIndex] += move_time
+                    #print "Agent: %d, time: %f, total: %f" % (agentIndex, move_time, self.totalAgentTimes[agentIndex])
+                    if self.totalAgentTimes[agentIndex] > self.rules.getMaxTotalTime(agentIndex):
+                        print >>sys.stderr, "Agent %d ran out of time! (time: %1.2f)" % (agentIndex, self.totalAgentTimes[agentIndex])
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+                    self.unmute()
+                except Exception,data:
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                action = agent.getAction(observation)
+            self.unmute()
+
+            # Execute the action
+            self.moveHistory.append( (agentIndex, action) )
+            if self.catchExceptions:
+                try:
+                    self.state = self.state.getResult( agentIndex, action )
+                except Exception,data:
+                    self.mute(agentIndex)
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                self.state = self.state.getResult( agentIndex, action )
+
+            # Change the display
+            self.display.update( self.state.data )
+            ###idx = agentIndex - agentIndex % 2 + 1
+            ###self.display.update( self.state.makeObservation(idx).data )
+
+            # Allow for game specific conditions (winning, losing, etc.)
+            self.rules.process(self.state, self)
+            # Track progress
+            if agentIndex == numAgents + 1: self.numMoves += 1
+            # Next agent
+            agentIndex = ( agentIndex + 1 ) % numAgents
+
+            if _BOINC_ENABLED:
+                boinc.set_fraction_done(self.getProgress())
+
+        # inform a learning agent of the game result
+        for agentIndex, agent in enumerate(self.agents):
+            if "final" in dir( agent ) :
+                try:
+                    self.mute(agentIndex)
+                    agent.final( self.state )
+                    self.unmute()
+                except Exception,data:
+                    if not self.catchExceptions: raise
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+        self.display.finish()
diff --git a/cs188-projects-master/P5 Ghostbusters/game.pyc b/cs188-projects-master/P5 Ghostbusters/game.pyc
new file mode 100644
index 0000000..c315519
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/game.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/ghostAgents.py b/cs188-projects-master/P5 Ghostbusters/ghostAgents.py
new file mode 100644
index 0000000..c3afe1f
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/ghostAgents.py	
@@ -0,0 +1,81 @@
+# ghostAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Actions
+from game import Directions
+import random
+from util import manhattanDistance
+import util
+
+class GhostAgent( Agent ):
+    def __init__( self, index ):
+        self.index = index
+
+    def getAction( self, state ):
+        dist = self.getDistribution(state)
+        if len(dist) == 0:
+            return Directions.STOP
+        else:
+            return util.chooseFromDistribution( dist )
+
+    def getDistribution(self, state):
+        "Returns a Counter encoding a distribution over actions from the provided state."
+        util.raiseNotDefined()
+
+class RandomGhost( GhostAgent ):
+    "A ghost that chooses a legal action uniformly at random."
+    def getDistribution( self, state ):
+        dist = util.Counter()
+        for a in state.getLegalActions( self.index ): dist[a] = 1.0
+        dist.normalize()
+        return dist
+
+class DirectionalGhost( GhostAgent ):
+    "A ghost that prefers to rush Pacman, or flee when scared."
+    def __init__( self, index, prob_attack=0.8, prob_scaredFlee=0.8 ):
+        self.index = index
+        self.prob_attack = prob_attack
+        self.prob_scaredFlee = prob_scaredFlee
+
+    def getDistribution( self, state ):
+        # Read variables from state
+        ghostState = state.getGhostState( self.index )
+        legalActions = state.getLegalActions( self.index )
+        pos = state.getGhostPosition( self.index )
+        isScared = ghostState.scaredTimer > 0
+
+        speed = 1
+        if isScared: speed = 0.5
+
+        actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions]
+        newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors]
+        pacmanPosition = state.getPacmanPosition()
+
+        # Select best actions given the state
+        distancesToPacman = [manhattanDistance( pos, pacmanPosition ) for pos in newPositions]
+        if isScared:
+            bestScore = max( distancesToPacman )
+            bestProb = self.prob_scaredFlee
+        else:
+            bestScore = min( distancesToPacman )
+            bestProb = self.prob_attack
+        bestActions = [action for action, distance in zip( legalActions, distancesToPacman ) if distance == bestScore]
+
+        # Construct distribution
+        dist = util.Counter()
+        for a in bestActions: dist[a] = bestProb / len(bestActions)
+        for a in legalActions: dist[a] += ( 1-bestProb ) / len(legalActions)
+        dist.normalize()
+        return dist
diff --git a/cs188-projects-master/P5 Ghostbusters/ghostAgents.pyc b/cs188-projects-master/P5 Ghostbusters/ghostAgents.pyc
new file mode 100644
index 0000000..79d74a1
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/ghostAgents.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/grading.py b/cs188-projects-master/P5 Ghostbusters/grading.py
new file mode 100644
index 0000000..2b46f59
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/grading.py	
@@ -0,0 +1,323 @@
+# grading.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"Common code for autograders"
+
+import cgi
+import time
+import sys
+import json
+import traceback
+import pdb
+from collections import defaultdict
+import util
+
+class Grades:
+  "A data structure for project grades, along with formatting code to display them"
+  def __init__(self, projectName, questionsAndMaxesList,
+               gsOutput=False, edxOutput=False, muteOutput=False):
+    """
+    Defines the grading scheme for a project
+      projectName: project name
+      questionsAndMaxesDict: a list of (question name, max points per question)
+    """
+    self.questions = [el[0] for el in questionsAndMaxesList]
+    self.maxes = dict(questionsAndMaxesList)
+    self.points = Counter()
+    self.messages = dict([(q, []) for q in self.questions])
+    self.project = projectName
+    self.start = time.localtime()[1:6]
+    self.sane = True # Sanity checks
+    self.currentQuestion = None # Which question we're grading
+    self.edxOutput = edxOutput
+    self.gsOutput = gsOutput  # GradeScope output
+    self.mute = muteOutput
+    self.prereqs = defaultdict(set)
+
+    #print 'Autograder transcript for %s' % self.project
+    print 'Starting on %d-%d at %d:%02d:%02d' % self.start
+
+  def addPrereq(self, question, prereq):
+    self.prereqs[question].add(prereq)
+
+  def grade(self, gradingModule, exceptionMap = {}, bonusPic = False):
+    """
+    Grades each question
+      gradingModule: the module with all the grading functions (pass in with sys.modules[__name__])
+    """
+
+    completedQuestions = set([])
+    for q in self.questions:
+      print '\nQuestion %s' % q
+      print '=' * (9 + len(q))
+      print
+      self.currentQuestion = q
+
+      incompleted = self.prereqs[q].difference(completedQuestions)
+      if len(incompleted) > 0:
+          prereq = incompleted.pop()
+          print \
+"""*** NOTE: Make sure to complete Question %s before working on Question %s,
+*** because Question %s builds upon your answer for Question %s.
+""" % (prereq, q, q, prereq)
+          continue
+
+      if self.mute: util.mutePrint()
+      try:
+        util.TimeoutFunction(getattr(gradingModule, q),300)(self) # Call the question's function
+        #TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function
+      except Exception, inst:
+        self.addExceptionMessage(q, inst, traceback)
+        self.addErrorHints(exceptionMap, inst, q[1])
+      except:
+        self.fail('FAIL: Terminated with a string exception.')
+      finally:
+        if self.mute: util.unmutePrint()
+
+      if self.points[q] >= self.maxes[q]:
+        completedQuestions.add(q)
+
+      print '\n### Question %s: %d/%d ###\n' % (q, self.points[q], self.maxes[q])
+
+
+    print '\nFinished at %d:%02d:%02d' % time.localtime()[3:6]
+    print "\nProvisional grades\n=================="
+
+    for q in self.questions:
+      print 'Question %s: %d/%d' % (q, self.points[q], self.maxes[q])
+    print '------------------'
+    print 'Total: %d/%d' % (self.points.totalCount(), sum(self.maxes.values()))
+    if bonusPic and self.points.totalCount() == 25:
+      print """
+
+                     ALL HAIL GRANDPAC.
+              LONG LIVE THE GHOSTBUSTING KING.
+
+                  ---      ----      ---
+                  |  \    /  + \    /  |
+                  | + \--/      \--/ + |
+                  |   +     +          |
+                  | +     +        +   |
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+             \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              V   \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                   \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    V     @@@@@@@@@@@@@@@@@@@@@@@@
+                            @@@@@@@@@@@@@@@@@@@@@@
+                    /\      @@@@@@@@@@@@@@@@@@@@@@
+                   /  \  @@@@@@@@@@@@@@@@@@@@@@@@@
+              /\  /    @@@@@@@@@@@@@@@@@@@@@@@@@@@
+             /  \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            /    @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    @@@@@@@@@@@@@@@@@@
+
+"""
+    print """
+Your grades are NOT yet registered.  To register your grades, make sure
+to follow your instructor's guidelines to receive credit on your project.
+"""
+
+    if self.edxOutput:
+        self.produceOutput()
+    if self.gsOutput:
+        self.produceGradeScopeOutput()
+
+  def addExceptionMessage(self, q, inst, traceback):
+    """
+    Method to format the exception message, this is more complicated because
+    we need to cgi.escape the traceback but wrap the exception in a 
 tag
+    """
+    self.fail('FAIL: Exception raised: %s' % inst)
+    self.addMessage('')
+    for line in traceback.format_exc().split('\n'):
+        self.addMessage(line)
+
+  def addErrorHints(self, exceptionMap, errorInstance, questionNum):
+    typeOf = str(type(errorInstance))
+    questionName = 'q' + questionNum
+    errorHint = ''
+
+    # question specific error hints
+    if exceptionMap.get(questionName):
+      questionMap = exceptionMap.get(questionName)
+      if (questionMap.get(typeOf)):
+        errorHint = questionMap.get(typeOf)
+    # fall back to general error messages if a question specific
+    # one does not exist
+    if (exceptionMap.get(typeOf)):
+      errorHint = exceptionMap.get(typeOf)
+
+    # dont include the HTML if we have no error hint
+    if not errorHint:
+      return ''
+
+    for line in errorHint.split('\n'):
+      self.addMessage(line)
+
+  def produceGradeScopeOutput(self):
+    out_dct = {}
+
+    # total of entire submission
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    out_dct['score'] = total_score
+    out_dct['max_score'] = total_possible
+    out_dct['output'] = "Total score (%d / %d)" % (total_score, total_possible)
+
+    # individual tests
+    tests_out = []
+    for name in self.questions:
+      test_out = {}
+      # test name
+      test_out['name'] = name
+      # test score
+      test_out['score'] = self.points[name]
+      test_out['max_score'] = self.maxes[name]
+      # others
+      is_correct = self.points[name] >= self.maxes[name]
+      test_out['output'] = "  Question {num} ({points}/{max}) {correct}".format(
+          num=(name[1] if len(name) == 2 else name),
+          points=test_out['score'],
+          max=test_out['max_score'],
+          correct=('X' if not is_correct else ''),
+      )
+      test_out['tags'] = []
+      tests_out.append(test_out)
+    out_dct['tests'] = tests_out
+
+    # file output
+    with open('gradescope_response.json', 'w') as outfile:
+        json.dump(out_dct, outfile)
+    return
+
+  def produceOutput(self):
+    edxOutput = open('edx_response.html', 'w')
+    edxOutput.write("
")
+
+    # first sum
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    checkOrX = ''
+    if (total_score >= total_possible):
+        checkOrX = ''
+    header = """
+        

+            Total score ({total_score} / {total_possible})
+        

+    """.format(total_score = total_score,
+      total_possible = total_possible,
+      checkOrX = checkOrX
+    )
+    edxOutput.write(header)
+
+    for q in self.questions:
+      if len(q) == 2:
+          name = q[1]
+      else:
+          name = q
+      checkOrX = ''
+      if (self.points[q] >= self.maxes[q]):
+        checkOrX = ''
+      #messages = '\n
\n'.join(self.messages[q])
+      messages = "
%s
" % '\n'.join(self.messages[q])
+      output = """
+        

+          

+          

+            Question {q} ({points}/{max}) {checkOrX}
+          

+        

+          {messages}
+        

+        

+      

+      """.format(q = name,
+        max = self.maxes[q],
+        messages = messages,
+        checkOrX = checkOrX,
+        points = self.points[q]
+      )
+      # print "*** output for Question %s " % q[1]
+      # print output
+      edxOutput.write(output)
+    edxOutput.write("
")
+    edxOutput.close()
+    edxOutput = open('edx_grade', 'w')
+    edxOutput.write(str(self.points.totalCount()))
+    edxOutput.close()
+
+  def fail(self, message, raw=False):
+    "Sets sanity check bit to false and outputs a message"
+    self.sane = False
+    self.assignZeroCredit()
+    self.addMessage(message, raw)
+
+  def assignZeroCredit(self):
+    self.points[self.currentQuestion] = 0
+
+  def addPoints(self, amt):
+    self.points[self.currentQuestion] += amt
+
+  def deductPoints(self, amt):
+    self.points[self.currentQuestion] -= amt
+
+  def assignFullCredit(self, message="", raw=False):
+    self.points[self.currentQuestion] = self.maxes[self.currentQuestion]
+    if message != "":
+      self.addMessage(message, raw)
+
+  def addMessage(self, message, raw=False):
+    if not raw:
+        # We assume raw messages, formatted for HTML, are printed separately
+        if self.mute: util.unmutePrint()
+        print '*** ' + message
+        if self.mute: util.mutePrint()
+        message = cgi.escape(message)
+    self.messages[self.currentQuestion].append(message)
+
+  def addMessageToEmail(self, message):
+    print "WARNING**** addMessageToEmail is deprecated %s" % message
+    for line in message.split('\n'):
+      pass
+      #print '%%% ' + line + ' %%%'
+      #self.messages[self.currentQuestion].append(line)
+
+
+
+
+
+class Counter(dict):
+  """
+  Dict with default 0
+  """
+  def __getitem__(self, idx):
+    try:
+      return dict.__getitem__(self, idx)
+    except KeyError:
+      return 0
+
+  def totalCount(self):
+    """
+    Returns the sum of counts for all keys.
+    """
+    return sum(self.values())
+
diff --git a/cs188-projects-master/P5 Ghostbusters/grading.pyc b/cs188-projects-master/P5 Ghostbusters/grading.pyc
new file mode 100644
index 0000000..1c84226
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/grading.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/graphicsDisplay.py b/cs188-projects-master/P5 Ghostbusters/graphicsDisplay.py
new file mode 100644
index 0000000..1bfe1b3
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/graphicsDisplay.py	
@@ -0,0 +1,679 @@
+# graphicsDisplay.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsUtils import *
+import math, time
+from game import Directions
+
+###########################
+#  GRAPHICS DISPLAY CODE  #
+###########################
+
+# Most code by Dan Klein and John Denero written or rewritten for cs188, UC Berkeley.
+# Some code from a Pacman implementation by LiveWires, and used / modified with permission.
+
+DEFAULT_GRID_SIZE = 30.0
+INFO_PANE_HEIGHT = 35
+BACKGROUND_COLOR = formatColor(0,0,0)
+WALL_COLOR = formatColor(0.0/255.0, 51.0/255.0, 255.0/255.0)
+INFO_PANE_COLOR = formatColor(.4,.4,0)
+SCORE_COLOR = formatColor(.9, .9, .9)
+PACMAN_OUTLINE_WIDTH = 2
+PACMAN_CAPTURE_OUTLINE_WIDTH = 4
+
+GHOST_COLORS = []
+GHOST_COLORS.append(formatColor(.9,0,0)) # Red
+GHOST_COLORS.append(formatColor(0,.3,.9)) # Blue
+GHOST_COLORS.append(formatColor(.98,.41,.07)) # Orange
+GHOST_COLORS.append(formatColor(.1,.75,.7)) # Green
+GHOST_COLORS.append(formatColor(1.0,0.6,0.0)) # Yellow
+GHOST_COLORS.append(formatColor(.4,0.13,0.91)) # Purple
+
+TEAM_COLORS = GHOST_COLORS[:2]
+
+GHOST_SHAPE = [
+    ( 0,    0.3 ),
+    ( 0.25, 0.75 ),
+    ( 0.5,  0.3 ),
+    ( 0.75, 0.75 ),
+    ( 0.75, -0.5 ),
+    ( 0.5,  -0.75 ),
+    (-0.5,  -0.75 ),
+    (-0.75, -0.5 ),
+    (-0.75, 0.75 ),
+    (-0.5,  0.3 ),
+    (-0.25, 0.75 )
+  ]
+GHOST_SIZE = 0.65
+SCARED_COLOR = formatColor(1,1,1)
+
+GHOST_VEC_COLORS = map(colorToVector, GHOST_COLORS)
+
+PACMAN_COLOR = formatColor(255.0/255.0,255.0/255.0,61.0/255)
+PACMAN_SCALE = 0.5
+#pacman_speed = 0.25
+
+# Food
+FOOD_COLOR = formatColor(1,1,1)
+FOOD_SIZE = 0.1
+
+# Laser
+LASER_COLOR = formatColor(1,0,0)
+LASER_SIZE = 0.02
+
+# Capsule graphics
+CAPSULE_COLOR = formatColor(1,1,1)
+CAPSULE_SIZE = 0.25
+
+# Drawing walls
+WALL_RADIUS = 0.15
+
+class InfoPane:
+    def __init__(self, layout, gridSize):
+        self.gridSize = gridSize
+        self.width = (layout.width) * gridSize
+        self.base = (layout.height + 1) * gridSize
+        self.height = INFO_PANE_HEIGHT
+        self.fontSize = 24
+        self.textColor = PACMAN_COLOR
+        self.drawPane()
+
+    def toScreen(self, pos, y = None):
+        """
+          Translates a point relative from the bottom left of the info pane.
+        """
+        if y == None:
+            x,y = pos
+        else:
+            x = pos
+
+        x = self.gridSize + x # Margin
+        y = self.base + y
+        return x,y
+
+    def drawPane(self):
+        self.scoreText = text( self.toScreen(0, 0  ), self.textColor, "SCORE:    0", "Times", self.fontSize, "bold")
+
+    def initializeGhostDistances(self, distances):
+        self.ghostDistanceText = []
+
+        size = 20
+        if self.width < 240:
+            size = 12
+        if self.width < 160:
+            size = 10
+
+        for i, d in enumerate(distances):
+            t = text( self.toScreen(self.width/2 + self.width/8 * i, 0), GHOST_COLORS[i+1], d, "Times", size, "bold")
+            self.ghostDistanceText.append(t)
+
+    def updateScore(self, score):
+        changeText(self.scoreText, "SCORE: % 4d" % score)
+
+    def setTeam(self, isBlue):
+        text = "RED TEAM"
+        if isBlue: text = "BLUE TEAM"
+        self.teamText = text( self.toScreen(300, 0  ), self.textColor, text, "Times", self.fontSize, "bold")
+
+    def updateGhostDistances(self, distances):
+        if len(distances) == 0: return
+        if 'ghostDistanceText' not in dir(self): self.initializeGhostDistances(distances)
+        else:
+            for i, d in enumerate(distances):
+                changeText(self.ghostDistanceText[i], d)
+
+    def drawGhost(self):
+        pass
+
+    def drawPacman(self):
+        pass
+
+    def drawWarning(self):
+        pass
+
+    def clearIcon(self):
+        pass
+
+    def updateMessage(self, message):
+        pass
+
+    def clearMessage(self):
+        pass
+
+
+class PacmanGraphics:
+    def __init__(self, zoom=1.0, frameTime=0.0, capture=False):
+        self.have_window = 0
+        self.currentGhostImages = {}
+        self.pacmanImage = None
+        self.zoom = zoom
+        self.gridSize = DEFAULT_GRID_SIZE * zoom
+        self.capture = capture
+        self.frameTime = frameTime
+
+    def checkNullDisplay(self):
+        return False
+
+    def initialize(self, state, isBlue = False):
+        self.isBlue = isBlue
+        self.startGraphics(state)
+
+        # self.drawDistributions(state)
+        self.distributionImages = None  # Initialized lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def startGraphics(self, state):
+        self.layout = state.layout
+        layout = self.layout
+        self.width = layout.width
+        self.height = layout.height
+        self.make_window(self.width, self.height)
+        self.infoPane = InfoPane(layout, self.gridSize)
+        self.currentState = layout
+
+    def drawDistributions(self, state):
+        walls = state.layout.walls
+        dist = []
+        for x in range(walls.width):
+            distx = []
+            dist.append(distx)
+            for y in range(walls.height):
+                ( screen_x, screen_y ) = self.to_screen( (x, y) )
+                block = square( (screen_x, screen_y),
+                                0.5 * self.gridSize,
+                                color = BACKGROUND_COLOR,
+                                filled = 1, behind=2)
+                distx.append(block)
+        self.distributionImages = dist
+
+    def drawStaticObjects(self, state):
+        layout = self.layout
+        self.drawWalls(layout.walls)
+        self.food = self.drawFood(layout.food)
+        self.capsules = self.drawCapsules(layout.capsules)
+        refresh()
+
+    def drawAgentObjects(self, state):
+        self.agentImages = [] # (agentState, image)
+        for index, agent in enumerate(state.agentStates):
+            if agent.isPacman:
+                image = self.drawPacman(agent, index)
+                self.agentImages.append( (agent, image) )
+            else:
+                image = self.drawGhost(agent, index)
+                self.agentImages.append( (agent, image) )
+        refresh()
+
+    def swapImages(self, agentIndex, newState):
+        """
+          Changes an image from a ghost to a pacman or vis versa (for capture)
+        """
+        prevState, prevImage = self.agentImages[agentIndex]
+        for item in prevImage: remove_from_screen(item)
+        if newState.isPacman:
+            image = self.drawPacman(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        else:
+            image = self.drawGhost(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        refresh()
+
+    def update(self, newState):
+        agentIndex = newState._agentMoved
+        agentState = newState.agentStates[agentIndex]
+
+        if self.agentImages[agentIndex][0].isPacman != agentState.isPacman: self.swapImages(agentIndex, agentState)
+        prevState, prevImage = self.agentImages[agentIndex]
+        if agentState.isPacman:
+            self.animatePacman(agentState, prevState, prevImage)
+        else:
+            self.moveGhost(agentState, agentIndex, prevState, prevImage)
+        self.agentImages[agentIndex] = (agentState, prevImage)
+
+        if newState._foodEaten != None:
+            self.removeFood(newState._foodEaten, self.food)
+        if newState._capsuleEaten != None:
+            self.removeCapsule(newState._capsuleEaten, self.capsules)
+        self.infoPane.updateScore(newState.score)
+        if 'ghostDistances' in dir(newState):
+            self.infoPane.updateGhostDistances(newState.ghostDistances)
+
+    def make_window(self, width, height):
+        grid_width = (width-1) * self.gridSize
+        grid_height = (height-1) * self.gridSize
+        screen_width = 2*self.gridSize + grid_width
+        screen_height = 2*self.gridSize + grid_height + INFO_PANE_HEIGHT
+
+        begin_graphics(screen_width,
+                       screen_height,
+                       BACKGROUND_COLOR,
+                       "CS188 Pacman")
+
+    def drawPacman(self, pacman, index):
+        position = self.getPosition(pacman)
+        screen_point = self.to_screen(position)
+        endpoints = self.getEndpoints(self.getDirection(pacman))
+
+        width = PACMAN_OUTLINE_WIDTH
+        outlineColor = PACMAN_COLOR
+        fillColor = PACMAN_COLOR
+
+        if self.capture:
+            outlineColor = TEAM_COLORS[index % 2]
+            fillColor = GHOST_COLORS[index]
+            width = PACMAN_CAPTURE_OUTLINE_WIDTH
+
+        return [circle(screen_point, PACMAN_SCALE * self.gridSize,
+                       fillColor = fillColor, outlineColor = outlineColor,
+                       endpoints = endpoints,
+                       width = width)]
+
+    def getEndpoints(self, direction, position=(0,0)):
+        x, y = position
+        pos = x - int(x) + y - int(y)
+        width = 30 + 80 * math.sin(math.pi* pos)
+
+        delta = width / 2
+        if (direction == 'West'):
+            endpoints = (180+delta, 180-delta)
+        elif (direction == 'North'):
+            endpoints = (90+delta, 90-delta)
+        elif (direction == 'South'):
+            endpoints = (270+delta, 270-delta)
+        else:
+            endpoints = (0+delta, 0-delta)
+        return endpoints
+
+    def movePacman(self, position, direction, image):
+        screenPosition = self.to_screen(position)
+        endpoints = self.getEndpoints( direction, position )
+        r = PACMAN_SCALE * self.gridSize
+        moveCircle(image[0], screenPosition, r, endpoints)
+        refresh()
+
+    def animatePacman(self, pacman, prevPacman, image):
+        if self.frameTime < 0:
+            print 'Press any key to step forward, "q" to play'
+            keys = wait_for_keys()
+            if 'q' in keys:
+                self.frameTime = 0.1
+        if self.frameTime > 0.01 or self.frameTime < 0:
+            start = time.time()
+            fx, fy = self.getPosition(prevPacman)
+            px, py = self.getPosition(pacman)
+            frames = 4.0
+            for i in range(1,int(frames) + 1):
+                pos = px*i/frames + fx*(frames-i)/frames, py*i/frames + fy*(frames-i)/frames
+                self.movePacman(pos, self.getDirection(pacman), image)
+                refresh()
+                sleep(abs(self.frameTime) / frames)
+        else:
+            self.movePacman(self.getPosition(pacman), self.getDirection(pacman), image)
+        refresh()
+
+    def getGhostColor(self, ghost, ghostIndex):
+        if ghost.scaredTimer > 0:
+            return SCARED_COLOR
+        else:
+            return GHOST_COLORS[ghostIndex]
+
+    def drawGhost(self, ghost, agentIndex):
+        pos = self.getPosition(ghost)
+        dir = self.getDirection(ghost)
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        coords = []
+        for (x, y) in GHOST_SHAPE:
+            coords.append((x*self.gridSize*GHOST_SIZE + screen_x, y*self.gridSize*GHOST_SIZE + screen_y))
+
+        colour = self.getGhostColor(ghost, agentIndex)
+        body = polygon(coords, colour, filled = 1)
+        WHITE = formatColor(1.0, 1.0, 1.0)
+        BLACK = formatColor(0.0, 0.0, 0.0)
+
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        leftEye = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        rightEye = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        leftPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        rightPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        ghostImageParts = []
+        ghostImageParts.append(body)
+        ghostImageParts.append(leftEye)
+        ghostImageParts.append(rightEye)
+        ghostImageParts.append(leftPupil)
+        ghostImageParts.append(rightPupil)
+
+        return ghostImageParts
+
+    def moveEyes(self, pos, dir, eyes):
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        moveCircle(eyes[0],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[1],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[2],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+        moveCircle(eyes[3],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+
+    def moveGhost(self, ghost, ghostIndex, prevGhost, ghostImageParts):
+        old_x, old_y = self.to_screen(self.getPosition(prevGhost))
+        new_x, new_y = self.to_screen(self.getPosition(ghost))
+        delta = new_x - old_x, new_y - old_y
+
+        for ghostImagePart in ghostImageParts:
+            move_by(ghostImagePart, delta)
+        refresh()
+
+        if ghost.scaredTimer > 0:
+            color = SCARED_COLOR
+        else:
+            color = GHOST_COLORS[ghostIndex]
+        edit(ghostImageParts[0], ('fill', color), ('outline', color))
+        self.moveEyes(self.getPosition(ghost), self.getDirection(ghost), ghostImageParts[-4:])
+        refresh()
+
+    def getPosition(self, agentState):
+        if agentState.configuration == None: return (-1000, -1000)
+        return agentState.getPosition()
+
+    def getDirection(self, agentState):
+        if agentState.configuration == None: return Directions.STOP
+        return agentState.configuration.getDirection()
+
+    def finish(self):
+        end_graphics()
+
+    def to_screen(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    # Fixes some TK issue with off-center circles
+    def to_screen2(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    def drawWalls(self, wallMatrix):
+        wallColor = WALL_COLOR
+        for xNum, x in enumerate(wallMatrix):
+            if self.capture and (xNum * 2) < wallMatrix.width: wallColor = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) >= wallMatrix.width: wallColor = TEAM_COLORS[1]
+
+            for yNum, cell in enumerate(x):
+                if cell: # There's a wall here
+                    pos = (xNum, yNum)
+                    screen = self.to_screen(pos)
+                    screen2 = self.to_screen2(pos)
+
+                    # draw each quadrant of the square based on adjacent walls
+                    wIsWall = self.isWall(xNum-1, yNum, wallMatrix)
+                    eIsWall = self.isWall(xNum+1, yNum, wallMatrix)
+                    nIsWall = self.isWall(xNum, yNum+1, wallMatrix)
+                    sIsWall = self.isWall(xNum, yNum-1, wallMatrix)
+                    nwIsWall = self.isWall(xNum-1, yNum+1, wallMatrix)
+                    swIsWall = self.isWall(xNum-1, yNum-1, wallMatrix)
+                    neIsWall = self.isWall(xNum+1, yNum+1, wallMatrix)
+                    seIsWall = self.isWall(xNum+1, yNum-1, wallMatrix)
+
+                    # NE quadrant
+                    if (not nIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (0,91), 'arc')
+                    if (nIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (eIsWall) and (not neIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (180,271), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # NW quadrant
+                    if (not nIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (90,181), 'arc')
+                    if (nIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (wIsWall) and (not nwIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (270,361), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # SE quadrant
+                    if (not sIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (270,361), 'arc')
+                    if (sIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (eIsWall) and (not seIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (90,181), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+                    # SW quadrant
+                    if (not sIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (180,271), 'arc')
+                    if (sIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (wIsWall) and (not swIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (0,91), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+    def isWall(self, x, y, walls):
+        if x < 0 or y < 0:
+            return False
+        if x >= walls.width or y >= walls.height:
+            return False
+        return walls[x][y]
+
+    def drawFood(self, foodMatrix ):
+        foodImages = []
+        color = FOOD_COLOR
+        for xNum, x in enumerate(foodMatrix):
+            if self.capture and (xNum * 2) <= foodMatrix.width: color = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) > foodMatrix.width: color = TEAM_COLORS[1]
+            imageRow = []
+            foodImages.append(imageRow)
+            for yNum, cell in enumerate(x):
+                if cell: # There's food here
+                    screen = self.to_screen((xNum, yNum ))
+                    dot = circle( screen,
+                                  FOOD_SIZE * self.gridSize,
+                                  outlineColor = color, fillColor = color,
+                                  width = 1)
+                    imageRow.append(dot)
+                else:
+                    imageRow.append(None)
+        return foodImages
+
+    def drawCapsules(self, capsules ):
+        capsuleImages = {}
+        for capsule in capsules:
+            ( screen_x, screen_y ) = self.to_screen(capsule)
+            dot = circle( (screen_x, screen_y),
+                              CAPSULE_SIZE * self.gridSize,
+                              outlineColor = CAPSULE_COLOR,
+                              fillColor = CAPSULE_COLOR,
+                              width = 1)
+            capsuleImages[capsule] = dot
+        return capsuleImages
+
+    def removeFood(self, cell, foodImages ):
+        x, y = cell
+        remove_from_screen(foodImages[x][y])
+
+    def removeCapsule(self, cell, capsuleImages ):
+        x, y = cell
+        remove_from_screen(capsuleImages[(x, y)])
+
+    def drawExpandedCells(self, cells):
+        """
+        Draws an overlay of expanded grid positions for search agents
+        """
+        n = float(len(cells))
+        baseColor = [1.0, 0.0, 0.0]
+        self.clearExpandedCells()
+        self.expandedCells = []
+        for k, cell in enumerate(cells):
+            screenPos = self.to_screen( cell)
+            cellColor = formatColor(*[(n-k) * c * .5 / n + .25 for c in baseColor])
+            block = square(screenPos,
+                     0.5 * self.gridSize,
+                     color = cellColor,
+                     filled = 1, behind=2)
+            self.expandedCells.append(block)
+            if self.frameTime < 0:
+                refresh()
+
+    def clearExpandedCells(self):
+        if 'expandedCells' in dir(self) and len(self.expandedCells) > 0:
+            for cell in self.expandedCells:
+                remove_from_screen(cell)
+
+
+    def updateDistributions(self, distributions):
+        "Draws an agent's belief distributions"
+        # copy all distributions so we don't change their state
+        distributions = map(lambda x: x.copy(), distributions)
+        if self.distributionImages == None:
+            self.drawDistributions(self.previousState)
+        for x in range(len(self.distributionImages)):
+            for y in range(len(self.distributionImages[0])):
+                image = self.distributionImages[x][y]
+                weights = [dist[ (x,y) ] for dist in distributions]
+
+                if sum(weights) != 0:
+                    pass
+                # Fog of war
+                color = [0.0,0.0,0.0]
+                colors = GHOST_VEC_COLORS[1:] # With Pacman
+                if self.capture: colors = GHOST_VEC_COLORS
+                for weight, gcolor in zip(weights, colors):
+                    color = [min(1.0, c + 0.95 * g * weight ** .3) for c,g in zip(color, gcolor)]
+                changeColor(image, formatColor(*color))
+        refresh()
+
+class FirstPersonPacmanGraphics(PacmanGraphics):
+    def __init__(self, zoom = 1.0, showGhosts = True, capture = False, frameTime=0):
+        PacmanGraphics.__init__(self, zoom, frameTime=frameTime)
+        self.showGhosts = showGhosts
+        self.capture = capture
+
+    def initialize(self, state, isBlue = False):
+
+        self.isBlue = isBlue
+        PacmanGraphics.startGraphics(self, state)
+        # Initialize distribution images
+        walls = state.layout.walls
+        dist = []
+        self.layout = state.layout
+
+        # Draw the rest
+        self.distributionImages = None  # initialize lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def lookAhead(self, config, state):
+        if config.getDirection() == 'Stop':
+            return
+        else:
+            pass
+            # Draw relevant ghosts
+            allGhosts = state.getGhostStates()
+            visibleGhosts = state.getVisibleGhosts()
+            for i, ghost in enumerate(allGhosts):
+                if ghost in visibleGhosts:
+                    self.drawGhost(ghost, i)
+                else:
+                    self.currentGhostImages[i] = None
+
+    def getGhostColor(self, ghost, ghostIndex):
+        return GHOST_COLORS[ghostIndex]
+
+    def getPosition(self, ghostState):
+        if not self.showGhosts and not ghostState.isPacman and ghostState.getPosition()[1] > 1:
+            return (-1000, -1000)
+        else:
+            return PacmanGraphics.getPosition(self, ghostState)
+
+def add(x, y):
+    return (x[0] + y[0], x[1] + y[1])
+
+
+# Saving graphical output
+# -----------------------
+# Note: to make an animated gif from this postscript output, try the command:
+# convert -delay 7 -loop 1 -compress lzw -layers optimize frame* out.gif
+# convert is part of imagemagick (freeware)
+
+SAVE_POSTSCRIPT = False
+POSTSCRIPT_OUTPUT_DIR = 'frames'
+FRAME_NUMBER = 0
+import os
+
+def saveFrame():
+    "Saves the current graphical output as a postscript file"
+    global SAVE_POSTSCRIPT, FRAME_NUMBER, POSTSCRIPT_OUTPUT_DIR
+    if not SAVE_POSTSCRIPT: return
+    if not os.path.exists(POSTSCRIPT_OUTPUT_DIR): os.mkdir(POSTSCRIPT_OUTPUT_DIR)
+    name = os.path.join(POSTSCRIPT_OUTPUT_DIR, 'frame_%08d.ps' % FRAME_NUMBER)
+    FRAME_NUMBER += 1
+    writePostscript(name) # writes the current canvas
diff --git a/cs188-projects-master/P5 Ghostbusters/graphicsDisplay.pyc b/cs188-projects-master/P5 Ghostbusters/graphicsDisplay.pyc
new file mode 100644
index 0000000..4216f50
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/graphicsDisplay.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/graphicsUtils.py b/cs188-projects-master/P5 Ghostbusters/graphicsUtils.py
new file mode 100644
index 0000000..b80d3d2
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/graphicsUtils.py	
@@ -0,0 +1,402 @@
+# graphicsUtils.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import math
+import random
+import string
+import time
+import types
+import Tkinter
+import os.path
+
+_Windows = sys.platform == 'win32'  # True if on Win95/98/NT
+
+_root_window = None      # The root window for graphics output
+_canvas = None      # The canvas which holds graphics
+_canvas_xs = None      # Size of canvas object
+_canvas_ys = None
+_canvas_x = None      # Current position on canvas
+_canvas_y = None
+_canvas_col = None      # Current colour (set to black below)
+_canvas_tsize = 12
+_canvas_tserifs = 0
+
+def formatColor(r, g, b):
+    return '#%02x%02x%02x' % (int(r * 255), int(g * 255), int(b * 255))
+
+def colorToVector(color):
+    return map(lambda x: int(x, 16) / 256.0, [color[1:3], color[3:5], color[5:7]])
+
+if _Windows:
+    _canvas_tfonts = ['times new roman', 'lucida console']
+else:
+    _canvas_tfonts = ['times', 'lucidasans-24']
+    pass # XXX need defaults here
+
+def sleep(secs):
+    global _root_window
+    if _root_window == None:
+        time.sleep(secs)
+    else:
+        _root_window.update_idletasks()
+        _root_window.after(int(1000 * secs), _root_window.quit)
+        _root_window.mainloop()
+
+def begin_graphics(width=640, height=480, color=formatColor(0, 0, 0), title=None):
+
+    global _root_window, _canvas, _canvas_x, _canvas_y, _canvas_xs, _canvas_ys, _bg_color
+
+    # Check for duplicate call
+    if _root_window is not None:
+        # Lose the window.
+        _root_window.destroy()
+
+    # Save the canvas size parameters
+    _canvas_xs, _canvas_ys = width - 1, height - 1
+    _canvas_x, _canvas_y = 0, _canvas_ys
+    _bg_color = color
+
+    # Create the root window
+    _root_window = Tkinter.Tk()
+    _root_window.protocol('WM_DELETE_WINDOW', _destroy_window)
+    _root_window.title(title or 'Graphics Window')
+    _root_window.resizable(0, 0)
+
+    # Create the canvas object
+    try:
+        _canvas = Tkinter.Canvas(_root_window, width=width, height=height)
+        _canvas.pack()
+        draw_background()
+        _canvas.update()
+    except:
+        _root_window = None
+        raise
+
+    # Bind to key-down and key-up events
+    _root_window.bind( "", _keypress )
+    _root_window.bind( "", _keyrelease )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _leftclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _ctrl_leftclick)
+    _clear_keys()
+
+_leftclick_loc = None
+_rightclick_loc = None
+_ctrl_leftclick_loc = None
+
+def _leftclick(event):
+    global _leftclick_loc
+    _leftclick_loc = (event.x, event.y)
+
+def _rightclick(event):
+    global _rightclick_loc
+    _rightclick_loc = (event.x, event.y)
+
+def _ctrl_leftclick(event):
+    global _ctrl_leftclick_loc
+    _ctrl_leftclick_loc = (event.x, event.y)
+
+def wait_for_click():
+    while True:
+        global _leftclick_loc
+        global _rightclick_loc
+        global _ctrl_leftclick_loc
+        if _leftclick_loc != None:
+            val = _leftclick_loc
+            _leftclick_loc = None
+            return val, 'left'
+        if _rightclick_loc != None:
+            val = _rightclick_loc
+            _rightclick_loc = None
+            return val, 'right'
+        if _ctrl_leftclick_loc != None:
+            val = _ctrl_leftclick_loc
+            _ctrl_leftclick_loc = None
+            return val, 'ctrl_left'
+        sleep(0.05)
+
+def draw_background():
+    corners = [(0,0), (0, _canvas_ys), (_canvas_xs, _canvas_ys), (_canvas_xs, 0)]
+    polygon(corners, _bg_color, fillColor=_bg_color, filled=True, smoothed=False)
+
+def _destroy_window(event=None):
+    sys.exit(0)
+#    global _root_window
+#    _root_window.destroy()
+#    _root_window = None
+    #print "DESTROY"
+
+def end_graphics():
+    global _root_window, _canvas, _mouse_enabled
+    try:
+        try:
+            sleep(1)
+            if _root_window != None:
+                _root_window.destroy()
+        except SystemExit, e:
+            print 'Ending graphics raised an exception:', e
+    finally:
+        _root_window = None
+        _canvas = None
+        _mouse_enabled = 0
+        _clear_keys()
+
+def clear_screen(background=None):
+    global _canvas_x, _canvas_y
+    _canvas.delete('all')
+    draw_background()
+    _canvas_x, _canvas_y = 0, _canvas_ys
+
+def polygon(coords, outlineColor, fillColor=None, filled=1, smoothed=1, behind=0, width=1):
+    c = []
+    for coord in coords:
+        c.append(coord[0])
+        c.append(coord[1])
+    if fillColor == None: fillColor = outlineColor
+    if filled == 0: fillColor = ""
+    poly = _canvas.create_polygon(c, outline=outlineColor, fill=fillColor, smooth=smoothed, width=width)
+    if behind > 0:
+        _canvas.tag_lower(poly, behind) # Higher should be more visible
+    return poly
+
+def square(pos, r, color, filled=1, behind=0):
+    x, y = pos
+    coords = [(x - r, y - r), (x + r, y - r), (x + r, y + r), (x - r, y + r)]
+    return polygon(coords, color, color, filled, 0, behind=behind)
+
+def circle(pos, r, outlineColor, fillColor, endpoints=None, style='pieslice', width=2):
+    x, y = pos
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    return _canvas.create_arc(x0, y0, x1, y1, outline=outlineColor, fill=fillColor,
+                              extent=e[1] - e[0], start=e[0], style=style, width=width)
+
+def image(pos, file="../../blueghost.gif"):
+    x, y = pos
+    # img = PhotoImage(file=file)
+    return _canvas.create_image(x, y, image = Tkinter.PhotoImage(file=file), anchor = Tkinter.NW)
+
+
+def refresh():
+    _canvas.update_idletasks()
+
+def moveCircle(id, pos, r, endpoints=None):
+    global _canvas_x, _canvas_y
+
+    x, y = pos
+#    x0, x1 = x - r, x + r + 1
+#    y0, y1 = y - r, y + r + 1
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    if os.path.isfile('flag'):
+        edit(id, ('extent', e[1] - e[0]))
+    else:
+        edit(id, ('start', e[0]), ('extent', e[1] - e[0]))
+    move_to(id, x0, y0)
+
+def edit(id, *args):
+    _canvas.itemconfigure(id, **dict(args))
+
+def text(pos, color, contents, font='Helvetica', size=12, style='normal', anchor="nw"):
+    global _canvas_x, _canvas_y
+    x, y = pos
+    font = (font, str(size), style)
+    return _canvas.create_text(x, y, fill=color, text=contents, font=font, anchor=anchor)
+
+def changeText(id, newText, font=None, size=12, style='normal'):
+    _canvas.itemconfigure(id, text=newText)
+    if font != None:
+        _canvas.itemconfigure(id, font=(font, '-%d' % size, style))
+
+def changeColor(id, newColor):
+    _canvas.itemconfigure(id, fill=newColor)
+
+def line(here, there, color=formatColor(0, 0, 0), width=2):
+    x0, y0 = here[0], here[1]
+    x1, y1 = there[0], there[1]
+    return _canvas.create_line(x0, y0, x1, y1, fill=color, width=width)
+
+##############################################################################
+### Keypress handling ########################################################
+##############################################################################
+
+# We bind to key-down and key-up events.
+
+_keysdown = {}
+_keyswaiting = {}
+# This holds an unprocessed key release.  We delay key releases by up to
+# one call to keys_pressed() to get round a problem with auto repeat.
+_got_release = None
+
+def _keypress(event):
+    global _got_release
+    #remap_arrows(event)
+    _keysdown[event.keysym] = 1
+    _keyswaiting[event.keysym] = 1
+#    print event.char, event.keycode
+    _got_release = None
+
+def _keyrelease(event):
+    global _got_release
+    #remap_arrows(event)
+    try:
+        del _keysdown[event.keysym]
+    except:
+        pass
+    _got_release = 1
+
+def remap_arrows(event):
+    # TURN ARROW PRESSES INTO LETTERS (SHOULD BE IN KEYBOARD AGENT)
+    if event.char in ['a', 's', 'd', 'w']:
+        return
+    if event.keycode in [37, 101]: # LEFT ARROW (win / x)
+        event.char = 'a'
+    if event.keycode in [38, 99]: # UP ARROW
+        event.char = 'w'
+    if event.keycode in [39, 102]: # RIGHT ARROW
+        event.char = 'd'
+    if event.keycode in [40, 104]: # DOWN ARROW
+        event.char = 's'
+
+def _clear_keys(event=None):
+    global _keysdown, _got_release, _keyswaiting
+    _keysdown = {}
+    _keyswaiting = {}
+    _got_release = None
+
+def keys_pressed(d_o_e=Tkinter.tkinter.dooneevent,
+                 d_w=Tkinter.tkinter.DONT_WAIT):
+    d_o_e(d_w)
+    if _got_release:
+        d_o_e(d_w)
+    return _keysdown.keys()
+
+def keys_waiting():
+    global _keyswaiting
+    keys = _keyswaiting.keys()
+    _keyswaiting = {}
+    return keys
+
+# Block for a list of keys...
+
+def wait_for_keys():
+    keys = []
+    while keys == []:
+        keys = keys_pressed()
+        sleep(0.05)
+    return keys
+
+def remove_from_screen(x,
+                       d_o_e=Tkinter.tkinter.dooneevent,
+                       d_w=Tkinter.tkinter.DONT_WAIT):
+    _canvas.delete(x)
+    d_o_e(d_w)
+
+def _adjust_coords(coord_list, x, y):
+    for i in range(0, len(coord_list), 2):
+        coord_list[i] = coord_list[i] + x
+        coord_list[i + 1] = coord_list[i + 1] + y
+    return coord_list
+
+def move_to(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT):
+    if y is None:
+        try: x, y = x
+        except: raise  'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    current_x, current_y = _canvas.coords(object)[0:2] # first point
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x - current_x
+        else:
+            inc = y - current_y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+
+def move_by(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT, lift=False):
+    if y is None:
+        try: x, y = x
+        except: raise Exception, 'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x
+        else:
+            inc = y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+    if lift:
+        _canvas.tag_raise(object)
+
+def writePostscript(filename):
+    "Writes the current canvas to a postscript file."
+    psfile = file(filename, 'w')
+    psfile.write(_canvas.postscript(pageanchor='sw',
+                     y='0.c',
+                     x='0.c'))
+    psfile.close()
+
+ghost_shape = [
+    (0, - 0.5),
+    (0.25, - 0.75),
+    (0.5, - 0.5),
+    (0.75, - 0.75),
+    (0.75, 0.5),
+    (0.5, 0.75),
+    (- 0.5, 0.75),
+    (- 0.75, 0.5),
+    (- 0.75, - 0.75),
+    (- 0.5, - 0.5),
+    (- 0.25, - 0.75)
+  ]
+
+if __name__ == '__main__':
+    begin_graphics()
+    clear_screen()
+    ghost_shape = [(x * 10 + 20, y * 10 + 20) for x, y in ghost_shape]
+    g = polygon(ghost_shape, formatColor(1, 1, 1))
+    move_to(g, (50, 50))
+    circle((150, 150), 20, formatColor(0.7, 0.3, 0.0), endpoints=[15, - 15])
+    sleep(2)
diff --git a/cs188-projects-master/P5 Ghostbusters/graphicsUtils.pyc b/cs188-projects-master/P5 Ghostbusters/graphicsUtils.pyc
new file mode 100644
index 0000000..49d506f
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/graphicsUtils.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/inference.py b/cs188-projects-master/P5 Ghostbusters/inference.py
new file mode 100644
index 0000000..7b5ab4d
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/inference.py	
@@ -0,0 +1,570 @@
+# inference.py
+# ------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import itertools
+import random
+import busters
+import game
+
+from util import manhattanDistance
+
+
+class DiscreteDistribution(dict):
+    """
+    A DiscreteDistribution models belief distributions and weight distributions
+    over a finite set of discrete keys.
+    """
+    def __getitem__(self, key):
+        self.setdefault(key, 0)
+        return dict.__getitem__(self, key)
+
+    def copy(self):
+        """
+        Return a copy of the distribution.
+        """
+        return DiscreteDistribution(dict.copy(self))
+
+    def argMax(self):
+        """
+        Return the key with the highest value.
+        """
+        if len(self.keys()) == 0:
+            return None
+        all = self.items()
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def total(self):
+        """
+        Return the sum of values for all keys.
+        """
+        return float(sum(self.values()))
+
+    def normalize(self):
+        """
+        Normalize the distribution such that the total value of all keys sums
+        to 1. The ratio of values for all keys will remain the same. In the case
+        where the total value of the distribution is 0, do nothing.
+
+        >>> dist = DiscreteDistribution()
+        >>> dist['a'] = 1
+        >>> dist['b'] = 2
+        >>> dist['c'] = 2
+        >>> dist['d'] = 0
+        >>> dist.normalize()
+        >>> list(sorted(dist.items()))
+        [('a', 0.2), ('b', 0.4), ('c', 0.4), ('d', 0.0)]
+        >>> dist['e'] = 4
+        >>> list(sorted(dist.items()))
+        [('a', 0.2), ('b', 0.4), ('c', 0.4), ('d', 0.0), ('e', 4)]
+        >>> empty = DiscreteDistribution()
+        >>> empty.normalize()
+        >>> empty
+        {}
+        """
+        "*** YOUR CODE HERE ***"
+        total = float(self.total())
+        if total == 0: return
+        for key in self.keys():
+            self[key] = self[key] / total
+
+    def sample(self):
+        """
+        Draw a random sample from the distribution and return the key, weighted
+        by the values associated with each key.
+
+        >>> dist = DiscreteDistribution()
+        >>> dist['a'] = 1
+        >>> dist['b'] = 2
+        >>> dist['c'] = 2
+        >>> dist['d'] = 0
+        >>> N = 100000.0
+        >>> samples = [dist.sample() for _ in range(int(N))]
+        >>> round(samples.count('a') * 1.0/N, 1)  # proportion of 'a'
+        0.2
+        >>> round(samples.count('b') * 1.0/N, 1)
+        0.4
+        >>> round(samples.count('c') * 1.0/N, 1)
+        0.4
+        >>> round(samples.count('d') * 1.0/N, 1)
+        0.0
+        """
+        "*** YOUR CODE HERE ***"
+        if self.total() != 1:
+            self.normalize()
+        items = sorted(self.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+        choice = random.random()
+        i, total = 0, distribution[0]
+        while choice > total:
+            i += 1
+            total += distribution[i]
+        return values[i]
+
+
+class InferenceModule:
+    """
+    An inference module tracks a belief distribution over a ghost's location.
+    """
+    ############################################
+    # Useful methods for all inference modules #
+    ############################################
+
+    def __init__(self, ghostAgent):
+        """
+        Set the ghost agent for later access.
+        """
+        self.ghostAgent = ghostAgent
+        self.index = ghostAgent.index
+        self.obs = []  # most recent observation position
+
+    def getJailPosition(self):
+        return (2 * self.ghostAgent.index - 1, 1)
+
+    def getPositionDistributionHelper(self, gameState, pos, index, agent):
+        try:
+            jail = self.getJailPosition()
+            gameState = self.setGhostPosition(gameState, pos, index + 1)
+        except TypeError:
+            jail = self.getJailPosition(index)
+            gameState = self.setGhostPositions(gameState, pos)
+        pacmanPosition = gameState.getPacmanPosition()
+        ghostPosition = gameState.getGhostPosition(index + 1)  # The position you set
+        dist = DiscreteDistribution()
+        if pacmanPosition == ghostPosition:  # The ghost has been caught!
+            dist[jail] = 1.0
+            return dist
+        pacmanSuccessorStates = game.Actions.getLegalNeighbors(pacmanPosition, \
+                gameState.getWalls())  # Positions Pacman can move to
+        if ghostPosition in pacmanSuccessorStates:  # Ghost could get caught
+            mult = 1.0 / float(len(pacmanSuccessorStates))
+            dist[jail] = mult
+        else:
+            mult = 0.0
+        actionDist = agent.getDistribution(gameState)
+        for action, prob in actionDist.items():
+            successorPosition = game.Actions.getSuccessor(ghostPosition, action)
+            if successorPosition in pacmanSuccessorStates:  # Ghost could get caught
+                denom = float(len(actionDist))
+                dist[jail] += prob * (1.0 / denom) * (1.0 - mult)
+                dist[successorPosition] = prob * ((denom - 1.0) / denom) * (1.0 - mult)
+            else:
+                dist[successorPosition] = prob * (1.0 - mult)
+        return dist
+
+    def getPositionDistribution(self, gameState, pos, index=None, agent=None):
+        """
+        Return a distribution over successor positions of the ghost from the
+        given gameState. You must first place the ghost in the gameState, using
+        setGhostPosition below.
+        """
+        if index == None:
+            index = self.index - 1
+        if agent == None:
+            agent = self.ghostAgent
+        return self.getPositionDistributionHelper(gameState, pos, index, agent)
+
+    def getObservationProb(self, noisyDistance, pacmanPosition, ghostPosition, jailPosition):
+        """
+        Return the probability P(noisyDistance | pacmanPosition, ghostPosition).
+        """
+        "*** YOUR CODE HERE ***"
+        if ghostPosition == jailPosition:
+            if noisyDistance == None:
+                return 1.0
+            else:
+                return 0.0
+        if noisyDistance == None:
+            return 0.0
+        trueDistance = manhattanDistance(pacmanPosition, ghostPosition)
+        return busters.getObservationProbability(noisyDistance, trueDistance)        
+
+    def setGhostPosition(self, gameState, ghostPosition, index):
+        """
+        Set the position of the ghost for this inference module to the specified
+        position in the supplied gameState.
+
+        Note that calling setGhostPosition does not change the position of the
+        ghost in the GameState object used for tracking the true progression of
+        the game.  The code in inference.py only ever receives a deep copy of
+        the GameState object which is responsible for maintaining game state,
+        not a reference to the original object.  Note also that the ghost
+        distance observations are stored at the time the GameState object is
+        created, so changing the position of the ghost will not affect the
+        functioning of observe.
+        """
+        conf = game.Configuration(ghostPosition, game.Directions.STOP)
+        gameState.data.agentStates[index] = game.AgentState(conf, False)
+        return gameState
+
+    def setGhostPositions(self, gameState, ghostPositions):
+        """
+        Sets the position of all ghosts to the values in ghostPositions.
+        """
+        for index, pos in enumerate(ghostPositions):
+            conf = game.Configuration(pos, game.Directions.STOP)
+            gameState.data.agentStates[index + 1] = game.AgentState(conf, False)
+        return gameState
+
+    def observe(self, gameState):
+        """
+        Collect the relevant noisy distance observation and pass it along.
+        """
+        distances = gameState.getNoisyGhostDistances()
+        if len(distances) >= self.index:  # Check for missing observations
+            obs = distances[self.index - 1]
+            self.obs = obs
+            self.observeUpdate(obs, gameState)
+
+    def initialize(self, gameState):
+        """
+        Initialize beliefs to a uniform distribution over all legal positions.
+        """
+        self.legalPositions = [p for p in gameState.getWalls().asList(False) if p[1] > 1]
+        self.allPositions = self.legalPositions + [self.getJailPosition()]
+        self.initializeUniformly(gameState)
+
+    ######################################
+    # Methods that need to be overridden #
+    ######################################
+
+    def initializeUniformly(self, gameState):
+        """
+        Set the belief state to a uniform prior belief over all positions.
+        """
+        raise NotImplementedError
+
+    def observeUpdate(self, observation, gameState):
+        """
+        Update beliefs based on the given distance observation and gameState.
+        """
+        raise NotImplementedError
+
+    def elapseTime(self, gameState):
+        """
+        Predict beliefs for the next time step from a gameState.
+        """
+        raise NotImplementedError
+
+    def getBeliefDistribution(self):
+        """
+        Return the agent's current belief state, a distribution over ghost
+        locations conditioned on all evidence so far.
+        """
+        raise NotImplementedError
+
+
+class ExactInference(InferenceModule):
+    """
+    The exact dynamic inference module should use forward algorithm updates to
+    compute the exact belief function at each time step.
+    """
+    def initializeUniformly(self, gameState):
+        """
+        Begin with a uniform distribution over legal ghost positions (i.e., not
+        including the jail position).
+        """
+        self.beliefs = DiscreteDistribution()
+        for p in self.legalPositions:
+            self.beliefs[p] = 1.0
+        self.beliefs.normalize()
+
+    def observeUpdate(self, observation, gameState):
+        """
+        Update beliefs based on the distance observation and Pacman's position.
+
+        The observation is the noisy Manhattan distance to the ghost you are
+        tracking.
+
+        self.allPositions is a list of the possible ghost positions, including
+        the jail position. You should only consider positions that are in
+        self.allPositions.
+
+        The update model is not entirely stationary: it may depend on Pacman's
+        current position. However, this is not a problem, as Pacman's current
+        position is known.
+        """
+        "*** YOUR CODE HERE ***"
+        dist = DiscreteDistribution()
+        pacmanPosition = gameState.getPacmanPosition()
+        jailPosition = self.getJailPosition()
+
+        for p in self.allPositions:
+            prob = self.getObservationProb(observation, pacmanPosition, p, jailPosition) 
+            dist[p] = prob * self.beliefs[p]
+        dist.normalize()
+        self.beliefs = dist
+
+    def elapseTime(self, gameState):
+        """
+        Predict beliefs in response to a time step passing from the current
+        state.
+
+        The transition model is not entirely stationary: it may depend on
+        Pacman's current position. However, this is not a problem, as Pacman's
+        current position is known.
+        """
+        "*** YOUR CODE HERE ***"
+        dist = DiscreteDistribution()
+        for oldPos in self.allPositions:
+            newPosDist = self.getPositionDistribution(gameState, oldPos)
+            old_prob = self.beliefs[oldPos]
+            for newPos in newPosDist.keys():
+                dist[newPos] += old_prob * newPosDist[newPos]
+        self.beliefs = dist
+
+    def getBeliefDistribution(self):
+        return self.beliefs
+
+
+class ParticleFilter(InferenceModule):
+    """
+    A particle filter for approximately tracking a single ghost.
+    """
+    def __init__(self, ghostAgent, numParticles=300):
+        InferenceModule.__init__(self, ghostAgent);
+        self.setNumParticles(numParticles)
+
+    def setNumParticles(self, numParticles):
+        self.numParticles = numParticles
+
+    def initializeUniformly(self, gameState):
+        """
+        Initialize a list of particles. Use self.numParticles for the number of
+        particles. Use self.legalPositions for the legal board positions where
+        a particle could be located. Particles should be evenly (not randomly)
+        distributed across positions in order to ensure a uniform prior. Use
+        self.particles for the list of particles.
+        """
+        "*** YOUR CODE HERE ***"
+        temp = []
+        n = self.numParticles
+        size = len(self.legalPositions)
+        while n > 0:
+            if n > size:
+                temp += self.legalPositions
+                n -= size
+            else:
+                temp += self.legalPositions[0:n]
+                n = 0
+        self.particles = temp
+
+    def observeUpdate(self, observation, gameState):
+        """
+        Update beliefs based on the distance observation and Pacman's position.
+
+        The observation is the noisy Manhattan distance to the ghost you are
+        tracking.
+
+        There is one special case that a correct implementation must handle.
+        When all particles receive zero weight, the list of particles should
+        be reinitialized by calling initializeUniformly. The total method of
+        the DiscreteDistribution may be useful.
+        """
+        "*** YOUR CODE HERE ***"
+        pacmanPosition = gameState.getPacmanPosition()
+        jailPosition = self.getJailPosition()
+        dist = DiscreteDistribution()
+        for p in self.particles:
+            prob = self.getObservationProb(observation, pacmanPosition, p, jailPosition)
+            dist[p] += prob
+        if dist.total() == 0:
+            self.initializeUniformly(gameState)
+        else:
+            dist.normalize()
+            self.beliefs = dist     
+            for i in range(self.numParticles):
+                new_sample = dist.sample()
+                self.particles[i] = new_sample
+
+    def elapseTime(self, gameState):
+        """
+        Sample each particle's next state based on its current state and the
+        gameState.
+        """
+        "*** YOUR CODE HERE ***"
+        cache = {}
+        for i in range(self.numParticles):
+            particle = self.particles[i]
+            if particle in cache:
+                self.particles[i] = cache[particle].sample()
+            else:
+                dist = self.getPositionDistribution(gameState, particle)
+                cache[particle] = dist
+                self.particles[i] = dist.sample()
+
+    def getBeliefDistribution(self):
+        """
+        Return the agent's current belief state, a distribution over ghost
+        locations conditioned on all evidence and time passage. This method
+        essentially converts a list of particles into a belief distribution.
+        """
+        "*** YOUR CODE HERE ***"
+        dist = DiscreteDistribution()
+        for p in self.particles:
+            dist[p] += 1
+        dist.normalize()
+        return dist
+
+
+class JointParticleFilter(ParticleFilter):
+    """
+    JointParticleFilter tracks a joint distribution over tuples of all ghost
+    positions.
+    """
+    def __init__(self, numParticles=600):
+        self.setNumParticles(numParticles)
+
+    def initialize(self, gameState, legalPositions):
+        """
+        Store information about the game, then initialize particles.
+        """
+        self.numGhosts = gameState.getNumAgents() - 1
+        self.ghostAgents = []
+        self.legalPositions = legalPositions
+        self.initializeUniformly(gameState)
+
+    def initializeUniformly(self, gameState):
+        """
+        Initialize particles to be consistent with a uniform prior. Particles
+        should be evenly distributed across positions in order to ensure a
+        uniform prior.
+        """
+        self.particles = []
+        "*** YOUR CODE HERE ***"
+        permutations = list(itertools.product(self.legalPositions, repeat = self.numGhosts))
+        random.shuffle(permutations)
+        n = self.numParticles
+        size = len(permutations)
+        while n > size:
+            self.particles += permutations
+            n -= size
+        self.particles += permutations[:n]
+
+    def addGhostAgent(self, agent):
+        """
+        Each ghost agent is registered separately and stored (in case they are
+        different).
+        """
+        self.ghostAgents.append(agent)
+
+    def getJailPosition(self, i):
+        return (2 * i + 1, 1);
+
+    def observe(self, gameState):
+        """
+        Resample the set of particles using the likelihood of the noisy
+        observations.
+        """
+        observation = gameState.getNoisyGhostDistances()
+        self.observeUpdate(observation, gameState)
+
+    def observeUpdate(self, observation, gameState):
+        """
+        Update beliefs based on the distance observation and Pacman's position.
+
+        The observation is the noisy Manhattan distances to all ghosts you
+        are tracking.
+
+        There is one special case that a correct implementation must handle.
+        When all particles receive zero weight, the list of particles should
+        be reinitialized by calling initializeUniformly. The total method of
+        the DiscreteDistribution may be useful.
+        """
+        "*** YOUR CODE HERE ***"
+        pacmanPosition = gameState.getPacmanPosition()
+        dist = DiscreteDistribution()
+        for p in self.particles:
+            prob = 1
+            for i in range(self.numGhosts):
+                noisy_dist = observation[i]
+                prob *= self.getObservationProb(noisy_dist, pacmanPosition, p[i], self.getJailPosition(i))
+            dist[p] += prob
+
+        self.beliefs = dist
+        if self.beliefs.total() == 0:
+            self.initializeUniformly(gameState)
+        else:
+            self.beliefs.normalize()
+            for i in range(self.numParticles):
+                newPos = self.beliefs.sample()
+                self.particles[i] = newPos
+
+    def elapseTime(self, gameState):
+        """
+        Sample each particle's next state based on its current state and the
+        gameState.
+        """
+        newParticles = []
+        cache = {}
+        for oldParticle in self.particles:
+            newParticle = list(oldParticle)  # A list of ghost positions
+            # now loop through and update each entry in newParticle...
+            "*** YOUR CODE HERE ***"
+            prevGhostPositions = list(oldParticle)
+            for i in range(self.numGhosts):
+                if (oldParticle, i) in cache:
+                    newParticle[i] = cache[(oldParticle, i)].sample()
+                else:
+                    newPosDist = self.getPositionDistribution(gameState, prevGhostPositions, i, self.ghostAgents[i])
+                    cache[(oldParticle, i)] = newPosDist
+                    newParticle[i] = newPosDist.sample()
+            """*** END YOUR CODE HERE ***"""
+            newParticles.append(tuple(newParticle))
+        self.particles = newParticles
+
+
+# One JointInference module is shared globally across instances of MarginalInference
+jointInference = JointParticleFilter()
+
+
+class MarginalInference(InferenceModule):
+    """
+    A wrapper around the JointInference module that returns marginal beliefs
+    about ghosts.
+    """
+    def initializeUniformly(self, gameState):
+        """
+        Set the belief state to an initial, prior value.
+        """
+        if self.index == 1:
+            jointInference.initialize(gameState, self.legalPositions)
+        jointInference.addGhostAgent(self.ghostAgent)
+
+    def observe(self, gameState):
+        """
+        Update beliefs based on the given distance observation and gameState.
+        """
+        if self.index == 1:
+            jointInference.observe(gameState)
+
+    def elapseTime(self, gameState):
+        """
+        Predict beliefs for a time step elapsing from a gameState.
+        """
+        if self.index == 1:
+            jointInference.elapseTime(gameState)
+
+    def getBeliefDistribution(self):
+        """
+        Return the marginal belief over a particular ghost by summing out the
+        others.
+        """
+        jointDistribution = jointInference.getBeliefDistribution()
+        dist = DiscreteDistribution()
+        for t, prob in jointDistribution.items():
+            dist[t[self.index - 1]] += prob
+        return dist
diff --git a/cs188-projects-master/P5 Ghostbusters/inference.pyc b/cs188-projects-master/P5 Ghostbusters/inference.pyc
new file mode 100644
index 0000000..73bdc29
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/inference.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/keyboardAgents.py b/cs188-projects-master/P5 Ghostbusters/keyboardAgents.py
new file mode 100644
index 0000000..c7d9fcf
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/keyboardAgents.py	
@@ -0,0 +1,84 @@
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+import random
+
+class KeyboardAgent(Agent):
+    """
+    An agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'a'
+    EAST_KEY  = 'd'
+    NORTH_KEY = 'w'
+    SOUTH_KEY = 's'
+    STOP_KEY = 'q'
+
+    def __init__( self, index = 0 ):
+
+        self.lastMove = Directions.STOP
+        self.index = index
+        self.keys = []
+
+    def getAction( self, state):
+        from graphicsUtils import keys_waiting
+        from graphicsUtils import keys_pressed
+        keys = keys_waiting() + keys_pressed()
+        if keys != []:
+            self.keys = keys
+
+        legal = state.getLegalActions(self.index)
+        move = self.getMove(legal)
+
+        if move == Directions.STOP:
+            # Try to move in the same direction as before
+            if self.lastMove in legal:
+                move = self.lastMove
+
+        if (self.STOP_KEY in self.keys) and Directions.STOP in legal: move = Directions.STOP
+
+        if move not in legal:
+            move = random.choice(legal)
+
+        self.lastMove = move
+        return move
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys or 'Left' in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys or 'Right' in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys or 'Up' in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys or 'Down' in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
+
+class KeyboardAgent2(KeyboardAgent):
+    """
+    A second agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'j'
+    EAST_KEY  = "l"
+    NORTH_KEY = 'i'
+    SOUTH_KEY = 'k'
+    STOP_KEY = 'u'
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
diff --git a/cs188-projects-master/P5 Ghostbusters/keyboardAgents.pyc b/cs188-projects-master/P5 Ghostbusters/keyboardAgents.pyc
new file mode 100644
index 0000000..ba4e625
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/keyboardAgents.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/layout.py b/cs188-projects-master/P5 Ghostbusters/layout.py
new file mode 100644
index 0000000..c6b377d
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/layout.py	
@@ -0,0 +1,149 @@
+# layout.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Grid
+import os
+import random
+
+VISIBILITY_MATRIX_CACHE = {}
+
+class Layout:
+    """
+    A Layout manages the static information about the game board.
+    """
+
+    def __init__(self, layoutText):
+        self.width = len(layoutText[0])
+        self.height= len(layoutText)
+        self.walls = Grid(self.width, self.height, False)
+        self.food = Grid(self.width, self.height, False)
+        self.capsules = []
+        self.agentPositions = []
+        self.numGhosts = 0
+        self.processLayoutText(layoutText)
+        self.layoutText = layoutText
+        self.totalFood = len(self.food.asList())
+        # self.initializeVisibilityMatrix()
+
+    def getNumGhosts(self):
+        return self.numGhosts
+
+    def initializeVisibilityMatrix(self):
+        global VISIBILITY_MATRIX_CACHE
+        if reduce(str.__add__, self.layoutText) not in VISIBILITY_MATRIX_CACHE:
+            from game import Directions
+            vecs = [(-0.5,0), (0.5,0),(0,-0.5),(0,0.5)]
+            dirs = [Directions.NORTH, Directions.SOUTH, Directions.WEST, Directions.EAST]
+            vis = Grid(self.width, self.height, {Directions.NORTH:set(), Directions.SOUTH:set(), Directions.EAST:set(), Directions.WEST:set(), Directions.STOP:set()})
+            for x in range(self.width):
+                for y in range(self.height):
+                    if self.walls[x][y] == False:
+                        for vec, direction in zip(vecs, dirs):
+                            dx, dy = vec
+                            nextx, nexty = x + dx, y + dy
+                            while (nextx + nexty) != int(nextx) + int(nexty) or not self.walls[int(nextx)][int(nexty)] :
+                                vis[x][y][direction].add((nextx, nexty))
+                                nextx, nexty = x + dx, y + dy
+            self.visibility = vis
+            VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)] = vis
+        else:
+            self.visibility = VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)]
+
+    def isWall(self, pos):
+        x, col = pos
+        return self.walls[x][col]
+
+    def getRandomLegalPosition(self):
+        x = random.choice(range(self.width))
+        y = random.choice(range(self.height))
+        while self.isWall( (x, y) ):
+            x = random.choice(range(self.width))
+            y = random.choice(range(self.height))
+        return (x,y)
+
+    def getRandomCorner(self):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        return random.choice(poses)
+
+    def getFurthestCorner(self, pacPos):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        dist, pos = max([(manhattanDistance(p, pacPos), p) for p in poses])
+        return pos
+
+    def isVisibleFrom(self, ghostPos, pacPos, pacDirection):
+        row, col = [int(x) for x in pacPos]
+        return ghostPos in self.visibility[row][col][pacDirection]
+
+    def __str__(self):
+        return "\n".join(self.layoutText)
+
+    def deepCopy(self):
+        return Layout(self.layoutText[:])
+
+    def processLayoutText(self, layoutText):
+        """
+        Coordinates are flipped from the input format to the (x,y) convention here
+
+        The shape of the maze.  Each character
+        represents a different type of object.
+         % - Wall
+         . - Food
+         o - Capsule
+         G - Ghost
+         P - Pacman
+        Other characters are ignored.
+        """
+        maxY = self.height - 1
+        for y in range(self.height):
+            for x in range(self.width):
+                layoutChar = layoutText[maxY - y][x]
+                self.processLayoutChar(x, y, layoutChar)
+        self.agentPositions.sort()
+        self.agentPositions = [ ( i == 0, pos) for i, pos in self.agentPositions]
+
+    def processLayoutChar(self, x, y, layoutChar):
+        if layoutChar == '%':
+            self.walls[x][y] = True
+        elif layoutChar == '.':
+            self.food[x][y] = True
+        elif layoutChar == 'o':
+            self.capsules.append((x, y))
+        elif layoutChar == 'P':
+            self.agentPositions.append( (0, (x, y) ) )
+        elif layoutChar in ['G']:
+            self.agentPositions.append( (1, (x, y) ) )
+            self.numGhosts += 1
+        elif layoutChar in  ['1', '2', '3', '4']:
+            self.agentPositions.append( (int(layoutChar), (x,y)))
+            self.numGhosts += 1
+def getLayout(name, back = 2):
+    if name.endswith('.lay'):
+        layout = tryToLoad('layouts/' + name)
+        if layout == None: layout = tryToLoad(name)
+    else:
+        layout = tryToLoad('layouts/' + name + '.lay')
+        if layout == None: layout = tryToLoad(name + '.lay')
+    if layout == None and back >= 0:
+        curdir = os.path.abspath('.')
+        os.chdir('..')
+        layout = getLayout(name, back -1)
+        os.chdir(curdir)
+    return layout
+
+def tryToLoad(fullname):
+    if(not os.path.exists(fullname)): return None
+    f = open(fullname)
+    try: return Layout([line.strip() for line in f])
+    finally: f.close()
diff --git a/cs188-projects-master/P5 Ghostbusters/layout.pyc b/cs188-projects-master/P5 Ghostbusters/layout.pyc
new file mode 100644
index 0000000..4cd9cb0
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/layout.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/layouts/bigHunt.lay b/cs188-projects-master/P5 Ghostbusters/layouts/bigHunt.lay
new file mode 100644
index 0000000..48ccd0c
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/layouts/bigHunt.lay	
@@ -0,0 +1,20 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%P                        %
+% %%%%%%%%%%%%        %%% %
+%                 %%      %
+%                 %%      %
+%          %         %    %
+% %%%%%%   %%% %%    %  %G%
+%                    %%%%%%
+% %%%%%%    %        %    %
+% %    %    %             %
+% %  G %    %  %%%%%%%%   %
+% %    %    %             %
+% %    %    %  %%%%%%%%   %
+%           %    G        %
+%     %%    %  %%    %%   %
+%     %%    %             %
+%          G%             %
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P5 Ghostbusters/layouts/oneHunt.lay b/cs188-projects-master/P5 Ghostbusters/layouts/oneHunt.lay
new file mode 100644
index 0000000..45291a9
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/layouts/oneHunt.lay	
@@ -0,0 +1,16 @@
+%%%%%%%%%%%%%%%%%%%%
+%                  %
+%                  %
+%    G       G     %
+%                  %
+%           P      %
+%                  %
+%                  %
+%                  %
+%    G       G     %
+%                  %
+%                  %
+%                  %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
\ No newline at end of file
diff --git a/cs188-projects-master/P5 Ghostbusters/layouts/openHunt.lay b/cs188-projects-master/P5 Ghostbusters/layouts/openHunt.lay
new file mode 100644
index 0000000..45d3388
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/layouts/openHunt.lay	
@@ -0,0 +1,13 @@
+%%%%%%%%%%%%%%%%%%%%
+%P      G          %
+% %%%  %%%  %% %%% %
+%     G            %
+%          %       %
+%          %       %
+% %%%%%%   %%%G%%% %
+%     G            %
+%           %      %
+%           %      %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P5 Ghostbusters/layouts/smallHunt.lay b/cs188-projects-master/P5 Ghostbusters/layouts/smallHunt.lay
new file mode 100644
index 0000000..ef9059a
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/layouts/smallHunt.lay	
@@ -0,0 +1,8 @@
+%%%%%%%%%%%%%%%%%%%%
+%P      G       G  %
+% %%%%% %%%%%% % % %
+%     G            %
+%          G       %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P5 Ghostbusters/pacman.py b/cs188-projects-master/P5 Ghostbusters/pacman.py
new file mode 100644
index 0000000..740451d
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/pacman.py	
@@ -0,0 +1,684 @@
+# pacman.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Pacman.py holds the logic for the classic pacman game along with the main
+code to run a game.  This file is divided into three sections:
+
+  (i)  Your interface to the pacman world:
+          Pacman is a complex environment.  You probably don't want to
+          read through all of the code we wrote to make the game runs
+          correctly.  This section contains the parts of the code
+          that you will need to understand in order to complete the
+          project.  There is also some code in game.py that you should
+          understand.
+
+  (ii)  The hidden secrets of pacman:
+          This section contains all of the logic code that the pacman
+          environment uses to decide who can move where, who dies when
+          things collide, etc.  You shouldn't need to read this section
+          of code, but you can if you want.
+
+  (iii) Framework to start a game:
+          The final section contains the code for reading the command
+          you use to set up the game, then starting up a new game, along with
+          linking in all the external parts (agent functions, graphics).
+          Check this section out to see all the options available to you.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from util import nearestPoint
+from util import manhattanDistance
+import util, layout
+import sys, types, time, random, os
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    # static variable keeps track of which states have had getLegalActions called
+    explored = set()
+    def getAndResetExplored():
+        tmp = GameState.explored.copy()
+        GameState.explored = set()
+        return tmp
+    getAndResetExplored = staticmethod(getAndResetExplored)
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+#        GameState.explored.add(self)
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def generateSuccessor( self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+        else:
+            GhostRules.decrementTimer( state.data.agentStates[agentIndex] )
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+        GameState.explored.add(self)
+        GameState.explored.add(state)
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def generatePacmanSuccessor( self, action ):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getGhostStates( self ):
+        return self.data.agentStates[1:]
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0 or agentIndex >= self.getNumAgents():
+            raise Exception("Invalid index passed to getGhostState")
+        return self.data.agentStates[agentIndex]
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise Exception("Pacman's index passed to getGhostPosition")
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostPositions(self):
+        return [s.getPosition() for s in self.getGhostStates()]
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return float(self.data.score)
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is a wall at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+    def isLose( self ):
+        return self.data._lose
+
+    def isWin( self ):
+        return self.data._win
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None: # Initial state
+            self.data = GameStateData(prevState.data)
+        else:
+            self.data = GameStateData()
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return hasattr(other, 'data') and self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( self.data )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+SCARED_TIME = 40    # Moves ghosts are scared
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class ClassicGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+    def __init__(self, timeout=30):
+        self.timeout = timeout
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, quiet = False, catchExceptions=False):
+        agents = [pacmanAgent] + ghostAgents[:layout.getNumGhosts()]
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents) )
+        game = Game(agents, display, self, catchExceptions=catchExceptions)
+        game.state = initState
+        self.initialState = initState.deepCopy()
+        self.quiet = quiet
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        if not self.quiet: print "Pacman emerges victorious! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        if not self.quiet: print "Pacman died! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def getProgress(self, game):
+        return float(game.state.getNumFood()) / self.initialState.getNumFood()
+
+    def agentCrash(self, game, agentIndex):
+        if agentIndex == 0:
+            print "Pacman crashed"
+        else:
+            print "A ghost crashed"
+
+    def getMaxTotalTime(self, agentIndex):
+        return self.timeout
+
+    def getMaxStartupTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveWarningTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveTimeout(self, agentIndex):
+        return self.timeout
+
+    def getMaxTimeWarnings(self, agentIndex):
+        return 0
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    PACMAN_SPEED=1
+
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, PacmanRules.PACMAN_SPEED )
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint( next )
+        if manhattanDistance( nearest, next ) <= 0.5 :
+            # Remove food
+            PacmanRules.consume( nearest, state )
+    applyAction = staticmethod( applyAction )
+
+    def consume( position, state ):
+        x,y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+            # TODO: cache numFood?
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += 500
+                state.data._win = True
+        # Eat capsule
+        if( position in state.getCapsules() ):
+            state.data.capsules.remove( position )
+            state.data._capsuleEaten = position
+            # Reset all ghosts' scared timers
+            for index in range( 1, len( state.data.agentStates ) ):
+                state.data.agentStates[index].scaredTimer = SCARED_TIME
+    consume = staticmethod( consume )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    GHOST_SPEED=1.0
+    def getLegalActions( state, ghostIndex ):
+        """
+        Ghosts cannot stop, and cannot turn around unless they
+        reach a dead end, but can turn 90 degrees at intersections.
+        """
+        conf = state.getGhostState( ghostIndex ).configuration
+        possibleActions = Actions.getPossibleActions( conf, state.data.layout.walls )
+        reverse = Actions.reverseDirection( conf.direction )
+        if Directions.STOP in possibleActions:
+            possibleActions.remove( Directions.STOP )
+        if reverse in possibleActions and len( possibleActions ) > 1:
+            possibleActions.remove( reverse )
+        return possibleActions
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action, ghostIndex):
+
+        legal = GhostRules.getLegalActions( state, ghostIndex )
+        if action not in legal:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        speed = GhostRules.GHOST_SPEED
+        if ghostState.scaredTimer > 0: speed /= 2.0
+        vector = Actions.directionToVector( action, speed )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def decrementTimer( ghostState):
+        timer = ghostState.scaredTimer
+        if timer == 1:
+            ghostState.configuration.pos = nearestPoint( ghostState.configuration.pos )
+        ghostState.scaredTimer = max( 0, timer - 1 )
+    decrementTimer = staticmethod( decrementTimer )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        if ghostState.scaredTimer > 0:
+            state.data.scoreChange += 200
+            GhostRules.placeGhost(state, ghostState)
+            ghostState.scaredTimer = 0
+            # Added for first-person
+            state.data._eaten[agentIndex] = True
+        else:
+            if not state.data._win:
+                state.data.scoreChange -= 500
+                state.data._lose = True
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod( placeGhost )
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python pacman.py 
+    EXAMPLES:   (1) python pacman.py
+                    - starts an interactive game
+                (2) python pacman.py --layout smallClassic --zoom 2
+                OR  python pacman.py -l smallClassic -z 2
+                    - starts an interactive game on a smaller board, zoomed in
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='mediumClassic')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-t', '--textGraphics', action='store_true', dest='textGraphics',
+                      help='Display output as text only', default=False)
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='RandomGhost')
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=4)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed',
+                      help='Fixes the random seed to always play the same game', default=False)
+    parser.add_option('-r', '--recordActions', action='store_true', dest='record',
+                      help='Writes game histories to a file (named by the time they were played)', default=False)
+    parser.add_option('--replay', dest='gameToReplay',
+                      help='A recorded game file (pickle) to replay', default=None)
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma separated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-x', '--numTraining', dest='numTraining', type='int',
+                      help=default('How many episodes are training (suppresses output)'), default=0)
+    parser.add_option('--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-c', '--catchExceptions', action='store_true', dest='catchExceptions',
+                      help='Turns on exception handling and timeouts during games', default=False)
+    parser.add_option('--timeout', dest='timeout', type='int',
+                      help=default('Maximum length of time an agent can spend computing in a single game'), default=30)
+
+    options, otherjunk = parser.parse_args(argv)
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + str(otherjunk))
+    args = dict()
+
+    # Fix the random seed
+    if options.fixRandomSeed: random.seed('cs188')
+
+    # Choose a layout
+    args['layout'] = layout.getLayout( options.layout )
+    if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a Pacman agent
+    noKeyboard = options.gameToReplay == None and (options.textGraphics or options.quietGraphics)
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    if options.numTraining > 0:
+        args['numTraining'] = options.numTraining
+        if 'numTraining' not in agentOpts: agentOpts['numTraining'] = options.numTraining
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    # Don't display training games
+    if 'numTrain' in agentOpts:
+        options.numQuiet = int(agentOpts['numTrain'])
+        options.numIgnore = int(agentOpts['numTrain'])
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, noKeyboard)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a display format
+    if options.quietGraphics:
+        import textDisplay
+        args['display'] = textDisplay.NullGraphics()
+    elif options.textGraphics:
+        import textDisplay
+        textDisplay.SLEEP_TIME = options.frameTime
+        args['display'] = textDisplay.PacmanGraphics()
+    else:
+        import graphicsDisplay
+        args['display'] = graphicsDisplay.PacmanGraphics(options.zoom, frameTime = options.frameTime)
+    args['numGames'] = options.numGames
+    args['record'] = options.record
+    args['catchExceptions'] = options.catchExceptions
+    args['timeout'] = options.timeout
+
+    # Special case: recorded games don't use the runGames method or args structure
+    if options.gameToReplay != None:
+        print 'Replaying recorded game %s.' % options.gameToReplay
+        import cPickle
+        f = open(options.gameToReplay)
+        try: recorded = cPickle.load(f)
+        finally: f.close()
+        recorded['display'] = args['display']
+        replayGame(**recorded)
+        sys.exit(0)
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def replayGame( layout, actions, display ):
+    import pacmanAgents, ghostAgents
+    rules = ClassicGameRules()
+    agents = [pacmanAgents.GreedyAgent()] + [ghostAgents.RandomGhost(i+1) for i in range(layout.getNumGhosts())]
+    game = rules.newGame( layout, agents[0], agents[1:], display )
+    state = game.state
+    display.initialize(state.data)
+
+    for action in actions:
+            # Execute the action
+        state = state.generateSuccessor( *action )
+        # Change the display
+        display.update( state.data )
+        # Allow for game specific conditions (winning, losing, etc.)
+        rules.process(state, game)
+
+    display.finish()
+
+def runGames( layout, pacman, ghosts, display, numGames, record, numTraining = 0, catchExceptions=False, timeout=30 ):
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = ClassicGameRules(timeout)
+    games = []
+
+    for i in range( numGames ):
+        beQuiet = i < numTraining
+        if beQuiet:
+                # Suppress output and graphics
+            import textDisplay
+            gameDisplay = textDisplay.NullGraphics()
+            rules.quiet = True
+        else:
+            gameDisplay = display
+            rules.quiet = False
+        game = rules.newGame( layout, pacman, ghosts, gameDisplay, beQuiet, catchExceptions)
+        game.run()
+        if not beQuiet: games.append(game)
+
+        if record:
+            import time, cPickle
+            fname = ('recorded-game-%d' % (i + 1)) +  '-'.join([str(t) for t in time.localtime()[1:6]])
+            f = file(fname, 'w')
+            components = {'layout': layout, 'actions': game.moveHistory}
+            cPickle.dump(components, f)
+            f.close()
+
+    if (numGames-numTraining) > 0:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print 'Average Score:', sum(scores) / float(len(scores))
+        print 'Scores:       ', ', '.join([str(score) for score in scores])
+        print 'Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate)
+        print 'Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins])
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
+
+    # import cProfile
+    # cProfile.run("runGames( **args )")
+    pass
diff --git a/cs188-projects-master/P5 Ghostbusters/pacman.pyc b/cs188-projects-master/P5 Ghostbusters/pacman.pyc
new file mode 100644
index 0000000..826d853
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/pacman.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/projectParams.py b/cs188-projects-master/P5 Ghostbusters/projectParams.py
new file mode 100644
index 0000000..58b0309
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/projectParams.py	
@@ -0,0 +1,18 @@
+# projectParams.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+STUDENT_CODE_DEFAULT = 'inference.py'
+PROJECT_TEST_CLASSES = 'tracking_fa14TestClasses.py'
+PROJECT_NAME = 'Project 4: Ghostbusters'
+BONUS_PIC = True
diff --git a/cs188-projects-master/P5 Ghostbusters/projectParams.pyc b/cs188-projects-master/P5 Ghostbusters/projectParams.pyc
new file mode 100644
index 0000000..d1be66c
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/projectParams.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/testClasses.py b/cs188-projects-master/P5 Ghostbusters/testClasses.py
new file mode 100644
index 0000000..6f95533
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/testClasses.py	
@@ -0,0 +1,206 @@
+# testClasses.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# import modules from python standard library
+import inspect
+import re
+import sys
+
+
+# Class which models a question in a project.  Note that questions have a
+# maximum number of points they are worth, and are composed of a series of
+# test cases
+class Question(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def __init__(self, questionDict, display):
+        self.maxPoints = int(questionDict['max_points'])
+        self.testCases = []
+        self.display = display
+
+    def getDisplay(self):
+        return self.display
+
+    def getMaxPoints(self):
+        return self.maxPoints
+
+    # Note that 'thunk' must be a function which accepts a single argument,
+    # namely a 'grading' object
+    def addTestCase(self, testCase, thunk):
+        self.testCases.append((testCase, thunk))
+
+    def execute(self, grades):
+        self.raiseNotDefined()
+
+# Question in which all test cases must be passed in order to receive credit
+class PassAllTestsQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+
+class ExtraCreditPassAllTestsQuestion(Question):
+    def __init__(self, questionDict, display):
+        Question.__init__(self, questionDict, display)
+        self.extraPoints = int(questionDict['extra_points'])
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+            grades.addPoints(self.extraPoints)
+
+# Question in which predict credit is given for test cases with a ``points'' property.
+# All other tests are mandatory and must be passed.
+class HackedPartialCreditQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        grades.assignZeroCredit()
+
+        points = 0
+        passed = True
+        for testCase, f in self.testCases:
+            testResult = f(grades)
+            if "points" in testCase.testDict:
+                if testResult: points += float(testCase.testDict["points"])
+            else:
+                passed = passed and testResult
+
+        ## FIXME: Below terrible hack to match q3's logic
+        if int(points) == self.maxPoints and not passed:
+            grades.assignZeroCredit()
+        else:
+            grades.addPoints(int(points))
+
+
+class Q6PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        results = []
+        for _, f in self.testCases:
+            results.append(f(grades))
+        if False in results:
+            grades.assignZeroCredit()
+
+class PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        for _, f in self.testCases:
+            if not f(grades):
+                grades.assignZeroCredit()
+                grades.fail("Tests failed.")
+                return False
+
+
+
+class NumberPassedQuestion(Question):
+    """Grade is the number of test cases passed."""
+
+    def execute(self, grades):
+        grades.addPoints([f(grades) for _, f in self.testCases].count(True))
+
+
+
+
+
+# Template modeling a generic test case
+class TestCase(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def getPath(self):
+        return self.path
+
+    def __init__(self, question, testDict):
+        self.question = question
+        self.testDict = testDict
+        self.path = testDict['path']
+        self.messages = []
+
+    def __str__(self):
+        self.raiseNotDefined()
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.raiseNotDefined()
+
+    def writeSolution(self, moduleDict, filePath):
+        self.raiseNotDefined()
+        return True
+
+    # Tests should call the following messages for grading
+    # to ensure a uniform format for test output.
+    #
+    # TODO: this is hairy, but we need to fix grading.py's interface
+    # to get a nice hierarchical project - question - test structure,
+    # then these should be moved into Question proper.
+    def testPass(self, grades):
+        grades.addMessage('PASS: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return True
+
+    def testFail(self, grades):
+        grades.addMessage('FAIL: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return False
+
+    # This should really be question level?
+    #
+    def testPartial(self, grades, points, maxPoints):
+        grades.addPoints(points)
+        extraCredit = max(0, points - maxPoints)
+        regularCredit = points - extraCredit
+
+        grades.addMessage('%s: %s (%s of %s points)' % ("PASS" if points >= maxPoints else "FAIL", self.path, regularCredit, maxPoints))
+        if extraCredit > 0:
+            grades.addMessage('EXTRA CREDIT: %s points' % (extraCredit,))
+
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+
+        return True
+
+    def addMessage(self, message):
+        self.messages.extend(message.split('\n'))
+
diff --git a/cs188-projects-master/P5 Ghostbusters/testClasses.pyc b/cs188-projects-master/P5 Ghostbusters/testClasses.pyc
new file mode 100644
index 0000000..a49a2ee
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/testClasses.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/testParser.py b/cs188-projects-master/P5 Ghostbusters/testParser.py
new file mode 100644
index 0000000..ceedeaf
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/testParser.py	
@@ -0,0 +1,85 @@
+# testParser.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import sys
+
+class TestParser(object):
+
+    def __init__(self, path):
+        # save the path to the test file
+        self.path = path
+
+    def removeComments(self, rawlines):
+        # remove any portion of a line following a '#' symbol
+        fixed_lines = []
+        for l in rawlines:
+            idx = l.find('#')
+            if idx == -1:
+                fixed_lines.append(l)
+            else:
+                fixed_lines.append(l[0:idx])
+        return '\n'.join(fixed_lines)
+
+    def parse(self):
+        # read in the test case and remove comments
+        test = {}
+        with open(self.path) as handle:
+            raw_lines = handle.read().split('\n')
+
+        test_text = self.removeComments(raw_lines)
+        test['__raw_lines__'] = raw_lines
+        test['path'] = self.path
+        test['__emit__'] = []
+        lines = test_text.split('\n')
+        i = 0
+        # read a property in each loop cycle
+        while(i < len(lines)):
+            # skip blank lines
+            if re.match('\A\s*\Z', lines[i]):
+                test['__emit__'].append(("raw", raw_lines[i]))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"([^"]*)"\s*\Z', lines[i])
+            if m:
+                test[m.group(1)] = m.group(2)
+                test['__emit__'].append(("oneline", m.group(1)))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"""\s*\Z', lines[i])
+            if m:
+                msg = []
+                i += 1
+                while(not re.match('\A\s*"""\s*\Z', lines[i])):
+                    msg.append(raw_lines[i])
+                    i += 1
+                test[m.group(1)] = '\n'.join(msg)
+                test['__emit__'].append(("multiline", m.group(1)))
+                i += 1
+                continue
+            print 'error parsing test file: %s' % self.path
+            sys.exit(1)
+        return test
+
+
+def emitTestDict(testDict, handle):
+    for kind, data in testDict['__emit__']:
+        if kind == "raw":
+            handle.write(data + "\n")
+        elif kind == "oneline":
+            handle.write('%s: "%s"\n' % (data, testDict[data]))
+        elif kind == "multiline":
+            handle.write('%s: """\n%s\n"""\n' % (data, testDict[data]))
+        else:
+            raise Exception("Bad __emit__")
diff --git a/cs188-projects-master/P5 Ghostbusters/testParser.pyc b/cs188-projects-master/P5 Ghostbusters/testParser.pyc
new file mode 100644
index 0000000..f247e2b
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/testParser.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/CONFIG
new file mode 100644
index 0000000..86d552f
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/CONFIG	
@@ -0,0 +1,2 @@
+order: "q1 q2 q3 q4 q5 q6 q7 q8 q9 q10"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q1/1-ObsProb.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q1/1-ObsProb.solution
new file mode 100644
index 0000000..ce440f8
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q1/1-ObsProb.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q1/1-ObsProb.test.
+# The result of evaluating the test must equal the below when cast to a string.
+result: "0.167539267016 0.335078534031 0.0418848167539 0.0 0.0 0.0 0.0 1.0"
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q1/1-ObsProb.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q1/1-ObsProb.test
new file mode 100644
index 0000000..348b8a6
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q1/1-ObsProb.test	
@@ -0,0 +1,35 @@
+class: "OutputTest"
+success: "PASS"
+failure: "NO PASS"
+
+# Python statements initializing variables for the test below.
+preamble: """
+import inference
+
+class dummyGhostAgent(object):
+    pass
+dummyGhostAgent = dummyGhostAgent()
+dummyGhostAgent.index = 1
+inf = inference.InferenceModule(dummyGhostAgent)
+pacmanPosition = (3, 5)
+ghostPosition = (4, 6)
+jailPosition = inf.getJailPosition()
+
+ans1 = inf.getObservationProb(1, pacmanPosition, ghostPosition, jailPosition)
+ans2 = inf.getObservationProb(2, pacmanPosition, ghostPosition, jailPosition)
+ans3 = inf.getObservationProb(5, pacmanPosition, ghostPosition, jailPosition)
+ans4 = inf.getObservationProb(None, pacmanPosition, ghostPosition, jailPosition)
+ans5 = inf.getObservationProb(1, pacmanPosition, jailPosition, jailPosition)
+ans6 = inf.getObservationProb(2, pacmanPosition, jailPosition, jailPosition)
+ans7 = inf.getObservationProb(5, pacmanPosition, jailPosition, jailPosition)
+ans8 = inf.getObservationProb(None, pacmanPosition, jailPosition, jailPosition)
+
+ans = map(float, [ans1, ans2, ans3, ans4, ans5, ans6, ans7, ans8])
+"""
+
+# A python expression to be evaluated.  This expression must return the 
+# same result for the student and instructor's code.
+
+test: "ans"
+
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q1/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q1/CONFIG
new file mode 100644
index 0000000..4e53766
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q1/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q10/1-JointParticlePredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/1-JointParticlePredict.solution
new file mode 100644
index 0000000..4fbf379
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/1-JointParticlePredict.solution	
@@ -0,0 +1,80 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.0448, (1, 3): 0.045, (20, 3): 0.046, (17, 3): 0.0454, (10, 3): 0.0452, (3, 3): 0.0462, (13, 3): 0.0458, (16, 3): 0.0454, (6, 3): 0.0458, (19, 3): 0.0456, (12, 3): 0.0456, (22, 3): 0.0452, (15, 3): 0.0452, (9, 3): 0.045, (2, 3): 0.0462, (5, 3): 0.0454, (8, 3): 0.0458, (18, 3): 0.045, (11, 3): 0.0454, (21, 3): 0.0458, (4, 3): 0.0456, (14, 3): 0.0446, }, {(7, 3): 0.0458, (1, 3): 0.046, (20, 3): 0.0452, (17, 3): 0.0448, (10, 3): 0.0454, (3, 3): 0.0456, (13, 3): 0.046, (16, 3): 0.0456, (6, 3): 0.0454, (19, 3): 0.0448, (12, 3): 0.0456, (22, 3): 0.0458, (15, 3): 0.0448, (9, 3): 0.0452, (2, 3): 0.0452, (5, 3): 0.0458, (8, 3): 0.0452, (18, 3): 0.0452, (11, 3): 0.0456, (21, 3): 0.0458, (4, 3): 0.0452, (14, 3): 0.046, }, ]
+1 Stop [{(7, 3): 0.0448, (1, 3): 0.045, (20, 3): 0.046, (17, 3): 0.0454, (10, 3): 0.0452, (3, 3): 0.0462, (13, 3): 0.0458, (16, 3): 0.0454, (6, 3): 0.0458, (19, 3): 0.0456, (12, 3): 0.0456, (22, 3): 0.0452, (15, 3): 0.0452, (9, 3): 0.045, (2, 3): 0.0462, (5, 3): 0.0454, (8, 3): 0.0458, (18, 3): 0.045, (11, 3): 0.0454, (21, 3): 0.0458, (4, 3): 0.0456, (14, 3): 0.0446, }, {(7, 3): 0.0458, (1, 3): 0.046, (20, 3): 0.0452, (17, 3): 0.0448, (10, 3): 0.0454, (3, 3): 0.0456, (13, 3): 0.046, (16, 3): 0.0456, (6, 3): 0.0454, (19, 3): 0.0448, (12, 3): 0.0456, (22, 3): 0.0458, (15, 3): 0.0448, (9, 3): 0.0452, (2, 3): 0.0452, (5, 3): 0.0458, (8, 3): 0.0452, (18, 3): 0.0452, (11, 3): 0.0456, (21, 3): 0.0458, (4, 3): 0.0452, (14, 3): 0.046, }, ]
+2 Stop [{(7.0, 3.0): 0.0436, (1.0, 3.0): 0.0644, (20.0, 3.0): 0.044, (17.0, 3.0): 0.0426, (10.0, 3.0): 0.0418, (3.0, 3.0): 0.0482, (13.0, 3.0): 0.0424, (16.0, 3.0): 0.043, (6.0, 3.0): 0.0396, (19.0, 3.0): 0.0394, (12.0, 3.0): 0.0442, (22.0, 3.0): 0.0612, (15.0, 3.0): 0.0462, (9.0, 3.0): 0.0454, (2.0, 3.0): 0.0422, (5.0, 3.0): 0.045, (8.0, 3.0): 0.0436, (18.0, 3.0): 0.0454, (11.0, 3.0): 0.0436, (21.0, 3.0): 0.0494, (4.0, 3.0): 0.0432, (14.0, 3.0): 0.0416, }, {(7.0, 3.0): 0.0426, (1.0, 3.0): 0.0592, (20.0, 3.0): 0.0416, (17.0, 3.0): 0.048, (10.0, 3.0): 0.0442, (3.0, 3.0): 0.0422, (13.0, 3.0): 0.0434, (16.0, 3.0): 0.0416, (6.0, 3.0): 0.0446, (19.0, 3.0): 0.0412, (12.0, 3.0): 0.046, (22.0, 3.0): 0.0608, (15.0, 3.0): 0.0434, (9.0, 3.0): 0.044, (2.0, 3.0): 0.0504, (5.0, 3.0): 0.043, (8.0, 3.0): 0.045, (18.0, 3.0): 0.0444, (11.0, 3.0): 0.0418, (21.0, 3.0): 0.0478, (4.0, 3.0): 0.0422, (14.0, 3.0): 0.0426, }, ]
+3 Stop [{(7.0, 3.0): 0.0404, (1.0, 3.0): 0.0716, (20.0, 3.0): 0.0374, (17.0, 3.0): 0.0386, (10.0, 3.0): 0.0452, (3.0, 3.0): 0.0438, (13.0, 3.0): 0.0388, (16.0, 3.0): 0.0434, (6.0, 3.0): 0.0412, (19.0, 3.0): 0.043, (12.0, 3.0): 0.0396, (22.0, 3.0): 0.076, (15.0, 3.0): 0.0418, (9.0, 3.0): 0.0422, (2.0, 3.0): 0.0528, (5.0, 3.0): 0.0406, (8.0, 3.0): 0.0442, (18.0, 3.0): 0.0392, (11.0, 3.0): 0.0386, (21.0, 3.0): 0.0544, (4.0, 3.0): 0.0428, (14.0, 3.0): 0.0444, }, {(7.0, 3.0): 0.0418, (1.0, 3.0): 0.0748, (20.0, 3.0): 0.04, (17.0, 3.0): 0.043, (10.0, 3.0): 0.0396, (3.0, 3.0): 0.0422, (13.0, 3.0): 0.0424, (16.0, 3.0): 0.0418, (6.0, 3.0): 0.0456, (19.0, 3.0): 0.0414, (12.0, 3.0): 0.0414, (22.0, 3.0): 0.0738, (15.0, 3.0): 0.0402, (9.0, 3.0): 0.0444, (2.0, 3.0): 0.0484, (5.0, 3.0): 0.0392, (8.0, 3.0): 0.041, (18.0, 3.0): 0.042, (11.0, 3.0): 0.0418, (21.0, 3.0): 0.0494, (4.0, 3.0): 0.0422, (14.0, 3.0): 0.0436, }, ]
+4 Stop [{(7.0, 3.0): 0.0404, (1.0, 3.0): 0.0876, (20.0, 3.0): 0.0422, (17.0, 3.0): 0.0374, (10.0, 3.0): 0.0374, (3.0, 3.0): 0.041, (13.0, 3.0): 0.0374, (16.0, 3.0): 0.043, (6.0, 3.0): 0.036, (19.0, 3.0): 0.0354, (12.0, 3.0): 0.0406, (22.0, 3.0): 0.092, (15.0, 3.0): 0.0414, (9.0, 3.0): 0.0418, (2.0, 3.0): 0.052, (5.0, 3.0): 0.0432, (8.0, 3.0): 0.0394, (18.0, 3.0): 0.0394, (11.0, 3.0): 0.0394, (21.0, 3.0): 0.053, (4.0, 3.0): 0.043, (14.0, 3.0): 0.037, }, {(7.0, 3.0): 0.0416, (1.0, 3.0): 0.0914, (20.0, 3.0): 0.0416, (17.0, 3.0): 0.0354, (10.0, 3.0): 0.0394, (3.0, 3.0): 0.0438, (13.0, 3.0): 0.0406, (16.0, 3.0): 0.0412, (6.0, 3.0): 0.0392, (19.0, 3.0): 0.0402, (12.0, 3.0): 0.0362, (22.0, 3.0): 0.0846, (15.0, 3.0): 0.0434, (9.0, 3.0): 0.0392, (2.0, 3.0): 0.048, (5.0, 3.0): 0.0404, (8.0, 3.0): 0.04, (18.0, 3.0): 0.0396, (11.0, 3.0): 0.041, (21.0, 3.0): 0.0542, (4.0, 3.0): 0.0392, (14.0, 3.0): 0.0398, }, ]
+5 Stop [{(7.0, 3.0): 0.037, (1.0, 3.0): 0.1022, (20.0, 3.0): 0.0404, (17.0, 3.0): 0.0386, (10.0, 3.0): 0.0396, (3.0, 3.0): 0.0434, (13.0, 3.0): 0.0394, (16.0, 3.0): 0.0388, (6.0, 3.0): 0.0408, (19.0, 3.0): 0.033, (12.0, 3.0): 0.0358, (22.0, 3.0): 0.1006, (15.0, 3.0): 0.0362, (9.0, 3.0): 0.0384, (2.0, 3.0): 0.0534, (5.0, 3.0): 0.0404, (8.0, 3.0): 0.0328, (18.0, 3.0): 0.038, (11.0, 3.0): 0.0344, (21.0, 3.0): 0.0626, (4.0, 3.0): 0.038, (14.0, 3.0): 0.0362, }, {(7.0, 3.0): 0.0422, (1.0, 3.0): 0.1024, (20.0, 3.0): 0.0398, (17.0, 3.0): 0.0344, (10.0, 3.0): 0.0398, (3.0, 3.0): 0.0382, (13.0, 3.0): 0.0382, (16.0, 3.0): 0.0392, (6.0, 3.0): 0.0412, (19.0, 3.0): 0.0372, (12.0, 3.0): 0.035, (22.0, 3.0): 0.1018, (15.0, 3.0): 0.0398, (9.0, 3.0): 0.0336, (2.0, 3.0): 0.0568, (5.0, 3.0): 0.0374, (8.0, 3.0): 0.0356, (18.0, 3.0): 0.0376, (11.0, 3.0): 0.036, (21.0, 3.0): 0.0566, (4.0, 3.0): 0.037, (14.0, 3.0): 0.0402, }, ]
+6 Stop [{(7.0, 3.0): 0.0356, (1.0, 3.0): 0.1116, (20.0, 3.0): 0.0382, (17.0, 3.0): 0.0376, (10.0, 3.0): 0.0338, (3.0, 3.0): 0.0392, (13.0, 3.0): 0.0332, (16.0, 3.0): 0.034, (6.0, 3.0): 0.0396, (19.0, 3.0): 0.0386, (12.0, 3.0): 0.0356, (22.0, 3.0): 0.1198, (15.0, 3.0): 0.0326, (9.0, 3.0): 0.033, (2.0, 3.0): 0.0628, (5.0, 3.0): 0.0386, (8.0, 3.0): 0.0348, (18.0, 3.0): 0.0352, (11.0, 3.0): 0.0334, (21.0, 3.0): 0.058, (4.0, 3.0): 0.0378, (14.0, 3.0): 0.037, }, {(7.0, 3.0): 0.0344, (1.0, 3.0): 0.1118, (20.0, 3.0): 0.0398, (17.0, 3.0): 0.0338, (10.0, 3.0): 0.0338, (3.0, 3.0): 0.038, (13.0, 3.0): 0.0344, (16.0, 3.0): 0.0346, (6.0, 3.0): 0.0404, (19.0, 3.0): 0.0384, (12.0, 3.0): 0.036, (22.0, 3.0): 0.1146, (15.0, 3.0): 0.039, (9.0, 3.0): 0.035, (2.0, 3.0): 0.0634, (5.0, 3.0): 0.04, (8.0, 3.0): 0.0342, (18.0, 3.0): 0.0342, (11.0, 3.0): 0.0332, (21.0, 3.0): 0.06, (4.0, 3.0): 0.0328, (14.0, 3.0): 0.0382, }, ]
+7 Stop [{(7.0, 3.0): 0.0338, (1.0, 3.0): 0.129, (20.0, 3.0): 0.0416, (17.0, 3.0): 0.0366, (10.0, 3.0): 0.0298, (3.0, 3.0): 0.0422, (13.0, 3.0): 0.0316, (16.0, 3.0): 0.0266, (6.0, 3.0): 0.0358, (19.0, 3.0): 0.0352, (12.0, 3.0): 0.0322, (22.0, 3.0): 0.1258, (15.0, 3.0): 0.0366, (9.0, 3.0): 0.0312, (2.0, 3.0): 0.0588, (5.0, 3.0): 0.037, (8.0, 3.0): 0.0338, (18.0, 3.0): 0.033, (11.0, 3.0): 0.0342, (21.0, 3.0): 0.0672, (4.0, 3.0): 0.036, (14.0, 3.0): 0.032, }, {(7.0, 3.0): 0.033, (1.0, 3.0): 0.1252, (20.0, 3.0): 0.0382, (17.0, 3.0): 0.0306, (10.0, 3.0): 0.0352, (3.0, 3.0): 0.0386, (13.0, 3.0): 0.0316, (16.0, 3.0): 0.0374, (6.0, 3.0): 0.0336, (19.0, 3.0): 0.0384, (12.0, 3.0): 0.0324, (22.0, 3.0): 0.1268, (15.0, 3.0): 0.0358, (9.0, 3.0): 0.0312, (2.0, 3.0): 0.0632, (5.0, 3.0): 0.0358, (8.0, 3.0): 0.036, (18.0, 3.0): 0.034, (11.0, 3.0): 0.0288, (21.0, 3.0): 0.063, (4.0, 3.0): 0.038, (14.0, 3.0): 0.0332, }, ]
+8 Stop [{(7.0, 3.0): 0.0316, (1.0, 3.0): 0.141, (20.0, 3.0): 0.0386, (17.0, 3.0): 0.0276, (10.0, 3.0): 0.034, (3.0, 3.0): 0.041, (13.0, 3.0): 0.0288, (16.0, 3.0): 0.0344, (6.0, 3.0): 0.0314, (19.0, 3.0): 0.0342, (12.0, 3.0): 0.0298, (22.0, 3.0): 0.1356, (15.0, 3.0): 0.0298, (9.0, 3.0): 0.0308, (2.0, 3.0): 0.0644, (5.0, 3.0): 0.0356, (8.0, 3.0): 0.029, (18.0, 3.0): 0.0326, (11.0, 3.0): 0.0286, (21.0, 3.0): 0.0756, (4.0, 3.0): 0.0366, (14.0, 3.0): 0.029, }, {(7.0, 3.0): 0.0312, (1.0, 3.0): 0.1374, (20.0, 3.0): 0.0422, (17.0, 3.0): 0.036, (10.0, 3.0): 0.0296, (3.0, 3.0): 0.0404, (13.0, 3.0): 0.0288, (16.0, 3.0): 0.0342, (6.0, 3.0): 0.0306, (19.0, 3.0): 0.0366, (12.0, 3.0): 0.0324, (22.0, 3.0): 0.1388, (15.0, 3.0): 0.0296, (9.0, 3.0): 0.0308, (2.0, 3.0): 0.066, (5.0, 3.0): 0.0332, (8.0, 3.0): 0.0332, (18.0, 3.0): 0.0302, (11.0, 3.0): 0.0308, (21.0, 3.0): 0.0624, (4.0, 3.0): 0.036, (14.0, 3.0): 0.0296, }, ]
+9 Stop [{(7.0, 3.0): 0.0282, (1.0, 3.0): 0.1472, (20.0, 3.0): 0.0436, (17.0, 3.0): 0.0316, (10.0, 3.0): 0.0302, (3.0, 3.0): 0.0418, (13.0, 3.0): 0.027, (16.0, 3.0): 0.0272, (6.0, 3.0): 0.0298, (19.0, 3.0): 0.0292, (12.0, 3.0): 0.0268, (22.0, 3.0): 0.1496, (15.0, 3.0): 0.028, (9.0, 3.0): 0.0308, (2.0, 3.0): 0.0724, (5.0, 3.0): 0.0336, (8.0, 3.0): 0.0282, (18.0, 3.0): 0.0288, (11.0, 3.0): 0.0274, (21.0, 3.0): 0.0754, (4.0, 3.0): 0.0356, (14.0, 3.0): 0.0276, }, {(7.0, 3.0): 0.0318, (1.0, 3.0): 0.1462, (20.0, 3.0): 0.04, (17.0, 3.0): 0.0308, (10.0, 3.0): 0.0302, (3.0, 3.0): 0.042, (13.0, 3.0): 0.0284, (16.0, 3.0): 0.0302, (6.0, 3.0): 0.0268, (19.0, 3.0): 0.0308, (12.0, 3.0): 0.0286, (22.0, 3.0): 0.1414, (15.0, 3.0): 0.0292, (9.0, 3.0): 0.0288, (2.0, 3.0): 0.0726, (5.0, 3.0): 0.0294, (8.0, 3.0): 0.0286, (18.0, 3.0): 0.0344, (11.0, 3.0): 0.0296, (21.0, 3.0): 0.0784, (4.0, 3.0): 0.0352, (14.0, 3.0): 0.0266, }, ]
+10 Stop [{(7.0, 3.0): 0.0272, (1.0, 3.0): 0.1578, (20.0, 3.0): 0.037, (17.0, 3.0): 0.0258, (10.0, 3.0): 0.0266, (3.0, 3.0): 0.039, (13.0, 3.0): 0.0252, (16.0, 3.0): 0.0288, (6.0, 3.0): 0.0282, (19.0, 3.0): 0.0298, (12.0, 3.0): 0.0272, (22.0, 3.0): 0.169, (15.0, 3.0): 0.0258, (9.0, 3.0): 0.0282, (2.0, 3.0): 0.0784, (5.0, 3.0): 0.0306, (8.0, 3.0): 0.0276, (18.0, 3.0): 0.029, (11.0, 3.0): 0.0266, (21.0, 3.0): 0.0744, (4.0, 3.0): 0.0346, (14.0, 3.0): 0.0232, }, {(7.0, 3.0): 0.028, (1.0, 3.0): 0.1512, (20.0, 3.0): 0.0422, (17.0, 3.0): 0.028, (10.0, 3.0): 0.027, (3.0, 3.0): 0.0438, (13.0, 3.0): 0.0278, (16.0, 3.0): 0.0284, (6.0, 3.0): 0.0286, (19.0, 3.0): 0.0354, (12.0, 3.0): 0.0252, (22.0, 3.0): 0.153, (15.0, 3.0): 0.0244, (9.0, 3.0): 0.0276, (2.0, 3.0): 0.0828, (5.0, 3.0): 0.0264, (8.0, 3.0): 0.0282, (18.0, 3.0): 0.0306, (11.0, 3.0): 0.0264, (21.0, 3.0): 0.0766, (4.0, 3.0): 0.03, (14.0, 3.0): 0.0284, }, ]
+11 Stop [{(7.0, 3.0): 0.0262, (1.0, 3.0): 0.1718, (20.0, 3.0): 0.0406, (17.0, 3.0): 0.0296, (10.0, 3.0): 0.022, (3.0, 3.0): 0.0414, (13.0, 3.0): 0.0238, (16.0, 3.0): 0.0208, (6.0, 3.0): 0.0268, (19.0, 3.0): 0.0276, (12.0, 3.0): 0.026, (22.0, 3.0): 0.1788, (15.0, 3.0): 0.022, (9.0, 3.0): 0.0274, (2.0, 3.0): 0.0774, (5.0, 3.0): 0.0244, (8.0, 3.0): 0.0282, (18.0, 3.0): 0.027, (11.0, 3.0): 0.0264, (21.0, 3.0): 0.074, (4.0, 3.0): 0.034, (14.0, 3.0): 0.0238, }, {(7.0, 3.0): 0.0284, (1.0, 3.0): 0.1694, (20.0, 3.0): 0.0418, (17.0, 3.0): 0.028, (10.0, 3.0): 0.0246, (3.0, 3.0): 0.0414, (13.0, 3.0): 0.0268, (16.0, 3.0): 0.024, (6.0, 3.0): 0.0272, (19.0, 3.0): 0.029, (12.0, 3.0): 0.025, (22.0, 3.0): 0.1632, (15.0, 3.0): 0.026, (9.0, 3.0): 0.0244, (2.0, 3.0): 0.0786, (5.0, 3.0): 0.0258, (8.0, 3.0): 0.0274, (18.0, 3.0): 0.032, (11.0, 3.0): 0.022, (21.0, 3.0): 0.0822, (4.0, 3.0): 0.0304, (14.0, 3.0): 0.0224, }, ]
+12 Stop [{(7.0, 3.0): 0.026, (1.0, 3.0): 0.1872, (20.0, 3.0): 0.0396, (17.0, 3.0): 0.0228, (10.0, 3.0): 0.0252, (3.0, 3.0): 0.039, (13.0, 3.0): 0.0222, (16.0, 3.0): 0.022, (6.0, 3.0): 0.0252, (19.0, 3.0): 0.0288, (12.0, 3.0): 0.0244, (22.0, 3.0): 0.176, (15.0, 3.0): 0.0186, (9.0, 3.0): 0.022, (2.0, 3.0): 0.0806, (5.0, 3.0): 0.0258, (8.0, 3.0): 0.0244, (18.0, 3.0): 0.0274, (11.0, 3.0): 0.0224, (21.0, 3.0): 0.0908, (4.0, 3.0): 0.0284, (14.0, 3.0): 0.0212, }, {(7.0, 3.0): 0.0256, (1.0, 3.0): 0.1862, (20.0, 3.0): 0.042, (17.0, 3.0): 0.0252, (10.0, 3.0): 0.0214, (3.0, 3.0): 0.0386, (13.0, 3.0): 0.0206, (16.0, 3.0): 0.0214, (6.0, 3.0): 0.0264, (19.0, 3.0): 0.032, (12.0, 3.0): 0.0248, (22.0, 3.0): 0.1752, (15.0, 3.0): 0.0226, (9.0, 3.0): 0.0228, (2.0, 3.0): 0.0778, (5.0, 3.0): 0.0296, (8.0, 3.0): 0.0222, (18.0, 3.0): 0.028, (11.0, 3.0): 0.0234, (21.0, 3.0): 0.0836, (4.0, 3.0): 0.0264, (14.0, 3.0): 0.0242, }, ]
+13 Stop [{(7.0, 3.0): 0.0218, (1.0, 3.0): 0.1966, (20.0, 3.0): 0.0402, (17.0, 3.0): 0.023, (10.0, 3.0): 0.0198, (3.0, 3.0): 0.0386, (13.0, 3.0): 0.0186, (16.0, 3.0): 0.0188, (6.0, 3.0): 0.0246, (19.0, 3.0): 0.0284, (12.0, 3.0): 0.023, (22.0, 3.0): 0.1946, (15.0, 3.0): 0.0184, (9.0, 3.0): 0.0224, (2.0, 3.0): 0.0826, (5.0, 3.0): 0.0258, (8.0, 3.0): 0.0232, (18.0, 3.0): 0.0224, (11.0, 3.0): 0.0226, (21.0, 3.0): 0.0862, (4.0, 3.0): 0.0286, (14.0, 3.0): 0.0198, }, {(7.0, 3.0): 0.0232, (1.0, 3.0): 0.1894, (20.0, 3.0): 0.0392, (17.0, 3.0): 0.0244, (10.0, 3.0): 0.0204, (3.0, 3.0): 0.035, (13.0, 3.0): 0.0218, (16.0, 3.0): 0.0226, (6.0, 3.0): 0.0272, (19.0, 3.0): 0.0322, (12.0, 3.0): 0.0202, (22.0, 3.0): 0.1892, (15.0, 3.0): 0.0238, (9.0, 3.0): 0.0178, (2.0, 3.0): 0.0876, (5.0, 3.0): 0.0262, (8.0, 3.0): 0.0202, (18.0, 3.0): 0.0252, (11.0, 3.0): 0.023, (21.0, 3.0): 0.0822, (4.0, 3.0): 0.0308, (14.0, 3.0): 0.0184, }, ]
+14 Stop [{(7.0, 3.0): 0.024, (1.0, 3.0): 0.208, (20.0, 3.0): 0.0412, (17.0, 3.0): 0.0202, (10.0, 3.0): 0.0182, (3.0, 3.0): 0.037, (13.0, 3.0): 0.018, (16.0, 3.0): 0.0198, (6.0, 3.0): 0.0228, (19.0, 3.0): 0.027, (12.0, 3.0): 0.0186, (22.0, 3.0): 0.1998, (15.0, 3.0): 0.0164, (9.0, 3.0): 0.0198, (2.0, 3.0): 0.0832, (5.0, 3.0): 0.0248, (8.0, 3.0): 0.0206, (18.0, 3.0): 0.0242, (11.0, 3.0): 0.0188, (21.0, 3.0): 0.09, (4.0, 3.0): 0.0288, (14.0, 3.0): 0.0188, }, {(7.0, 3.0): 0.0198, (1.0, 3.0): 0.199, (20.0, 3.0): 0.0428, (17.0, 3.0): 0.0206, (10.0, 3.0): 0.0208, (3.0, 3.0): 0.042, (13.0, 3.0): 0.019, (16.0, 3.0): 0.0196, (6.0, 3.0): 0.0242, (19.0, 3.0): 0.0298, (12.0, 3.0): 0.0188, (22.0, 3.0): 0.1982, (15.0, 3.0): 0.0214, (9.0, 3.0): 0.0176, (2.0, 3.0): 0.0872, (5.0, 3.0): 0.0282, (8.0, 3.0): 0.0176, (18.0, 3.0): 0.027, (11.0, 3.0): 0.0176, (21.0, 3.0): 0.082, (4.0, 3.0): 0.0256, (14.0, 3.0): 0.0212, }, ]
+15 Stop [{(7.0, 3.0): 0.0206, (1.0, 3.0): 0.2074, (20.0, 3.0): 0.0402, (17.0, 3.0): 0.02, (10.0, 3.0): 0.0154, (3.0, 3.0): 0.038, (13.0, 3.0): 0.0184, (16.0, 3.0): 0.0158, (6.0, 3.0): 0.0248, (19.0, 3.0): 0.0254, (12.0, 3.0): 0.0176, (22.0, 3.0): 0.2088, (15.0, 3.0): 0.0158, (9.0, 3.0): 0.018, (2.0, 3.0): 0.095, (5.0, 3.0): 0.0228, (8.0, 3.0): 0.0182, (18.0, 3.0): 0.0234, (11.0, 3.0): 0.0164, (21.0, 3.0): 0.0948, (4.0, 3.0): 0.0268, (14.0, 3.0): 0.0164, }, {(7.0, 3.0): 0.0184, (1.0, 3.0): 0.208, (20.0, 3.0): 0.039, (17.0, 3.0): 0.018, (10.0, 3.0): 0.016, (3.0, 3.0): 0.0396, (13.0, 3.0): 0.0194, (16.0, 3.0): 0.019, (6.0, 3.0): 0.0202, (19.0, 3.0): 0.0314, (12.0, 3.0): 0.0176, (22.0, 3.0): 0.2058, (15.0, 3.0): 0.0202, (9.0, 3.0): 0.0158, (2.0, 3.0): 0.092, (5.0, 3.0): 0.0248, (8.0, 3.0): 0.017, (18.0, 3.0): 0.0232, (11.0, 3.0): 0.0168, (21.0, 3.0): 0.0904, (4.0, 3.0): 0.0292, (14.0, 3.0): 0.0182, }, ]
+16 Stop [{(7.0, 3.0): 0.0178, (1.0, 3.0): 0.2232, (20.0, 3.0): 0.0398, (17.0, 3.0): 0.0188, (10.0, 3.0): 0.0156, (3.0, 3.0): 0.0388, (13.0, 3.0): 0.0156, (16.0, 3.0): 0.014, (6.0, 3.0): 0.022, (19.0, 3.0): 0.0274, (12.0, 3.0): 0.0164, (22.0, 3.0): 0.2196, (15.0, 3.0): 0.0152, (9.0, 3.0): 0.0144, (2.0, 3.0): 0.0894, (5.0, 3.0): 0.0226, (8.0, 3.0): 0.0174, (18.0, 3.0): 0.0192, (11.0, 3.0): 0.0142, (21.0, 3.0): 0.0942, (4.0, 3.0): 0.0272, (14.0, 3.0): 0.0172, }, {(7.0, 3.0): 0.0158, (1.0, 3.0): 0.2138, (20.0, 3.0): 0.0418, (17.0, 3.0): 0.02, (10.0, 3.0): 0.0112, (3.0, 3.0): 0.043, (13.0, 3.0): 0.0148, (16.0, 3.0): 0.0188, (6.0, 3.0): 0.019, (19.0, 3.0): 0.025, (12.0, 3.0): 0.0182, (22.0, 3.0): 0.2188, (15.0, 3.0): 0.0172, (9.0, 3.0): 0.0156, (2.0, 3.0): 0.0958, (5.0, 3.0): 0.0208, (8.0, 3.0): 0.0186, (18.0, 3.0): 0.0212, (11.0, 3.0): 0.0152, (21.0, 3.0): 0.0902, (4.0, 3.0): 0.028, (14.0, 3.0): 0.0172, }, ]
+17 Stop [{(7.0, 3.0): 0.0178, (1.0, 3.0): 0.2342, (20.0, 3.0): 0.0426, (17.0, 3.0): 0.0152, (10.0, 3.0): 0.012, (3.0, 3.0): 0.0398, (13.0, 3.0): 0.0154, (16.0, 3.0): 0.0154, (6.0, 3.0): 0.0188, (19.0, 3.0): 0.026, (12.0, 3.0): 0.0142, (22.0, 3.0): 0.2252, (15.0, 3.0): 0.016, (9.0, 3.0): 0.0152, (2.0, 3.0): 0.0878, (5.0, 3.0): 0.0236, (8.0, 3.0): 0.0146, (18.0, 3.0): 0.0178, (11.0, 3.0): 0.0114, (21.0, 3.0): 0.0966, (4.0, 3.0): 0.026, (14.0, 3.0): 0.0144, }, {(7.0, 3.0): 0.0184, (1.0, 3.0): 0.224, (20.0, 3.0): 0.0326, (17.0, 3.0): 0.018, (10.0, 3.0): 0.0146, (3.0, 3.0): 0.0412, (13.0, 3.0): 0.015, (16.0, 3.0): 0.0186, (6.0, 3.0): 0.015, (19.0, 3.0): 0.0256, (12.0, 3.0): 0.013, (22.0, 3.0): 0.2244, (15.0, 3.0): 0.014, (9.0, 3.0): 0.0128, (2.0, 3.0): 0.101, (5.0, 3.0): 0.0208, (8.0, 3.0): 0.0148, (18.0, 3.0): 0.0218, (11.0, 3.0): 0.0126, (21.0, 3.0): 0.1034, (4.0, 3.0): 0.023, (14.0, 3.0): 0.0154, }, ]
+18 Stop [{(7.0, 3.0): 0.017, (1.0, 3.0): 0.2308, (20.0, 3.0): 0.0454, (17.0, 3.0): 0.0146, (10.0, 3.0): 0.0114, (3.0, 3.0): 0.0432, (13.0, 3.0): 0.012, (16.0, 3.0): 0.0144, (6.0, 3.0): 0.0164, (19.0, 3.0): 0.024, (12.0, 3.0): 0.0122, (22.0, 3.0): 0.236, (15.0, 3.0): 0.0158, (9.0, 3.0): 0.012, (2.0, 3.0): 0.0984, (5.0, 3.0): 0.018, (8.0, 3.0): 0.0152, (18.0, 3.0): 0.0158, (11.0, 3.0): 0.0098, (21.0, 3.0): 0.0946, (4.0, 3.0): 0.029, (14.0, 3.0): 0.014, }, {(7.0, 3.0): 0.0132, (1.0, 3.0): 0.233, (20.0, 3.0): 0.0408, (17.0, 3.0): 0.0182, (10.0, 3.0): 0.0138, (3.0, 3.0): 0.0396, (13.0, 3.0): 0.0128, (16.0, 3.0): 0.015, (6.0, 3.0): 0.0206, (19.0, 3.0): 0.0224, (12.0, 3.0): 0.011, (22.0, 3.0): 0.2386, (15.0, 3.0): 0.0128, (9.0, 3.0): 0.0102, (2.0, 3.0): 0.1024, (5.0, 3.0): 0.0188, (8.0, 3.0): 0.0148, (18.0, 3.0): 0.0208, (11.0, 3.0): 0.012, (21.0, 3.0): 0.0946, (4.0, 3.0): 0.0208, (14.0, 3.0): 0.0138, }, ]
+19 Stop [{(7.0, 3.0): 0.0158, (1.0, 3.0): 0.2384, (20.0, 3.0): 0.042, (17.0, 3.0): 0.013, (10.0, 3.0): 0.0096, (3.0, 3.0): 0.0438, (13.0, 3.0): 0.0122, (16.0, 3.0): 0.0152, (6.0, 3.0): 0.0156, (19.0, 3.0): 0.0218, (12.0, 3.0): 0.0114, (22.0, 3.0): 0.2408, (15.0, 3.0): 0.0146, (9.0, 3.0): 0.0114, (2.0, 3.0): 0.1026, (5.0, 3.0): 0.0188, (8.0, 3.0): 0.0124, (18.0, 3.0): 0.0146, (11.0, 3.0): 0.0084, (21.0, 3.0): 0.103, (4.0, 3.0): 0.0242, (14.0, 3.0): 0.0104, }, {(7.0, 3.0): 0.014, (1.0, 3.0): 0.2382, (20.0, 3.0): 0.0358, (17.0, 3.0): 0.0146, (10.0, 3.0): 0.01, (3.0, 3.0): 0.04, (13.0, 3.0): 0.0094, (16.0, 3.0): 0.0138, (6.0, 3.0): 0.0154, (19.0, 3.0): 0.0264, (12.0, 3.0): 0.0108, (22.0, 3.0): 0.2434, (15.0, 3.0): 0.0134, (9.0, 3.0): 0.012, (2.0, 3.0): 0.1056, (5.0, 3.0): 0.0198, (8.0, 3.0): 0.0126, (18.0, 3.0): 0.018, (11.0, 3.0): 0.0112, (21.0, 3.0): 0.1032, (4.0, 3.0): 0.0202, (14.0, 3.0): 0.0122, }, ]
+20 Stop [{(7.0, 3.0): 0.0136, (1.0, 3.0): 0.2476, (20.0, 3.0): 0.0356, (17.0, 3.0): 0.0162, (10.0, 3.0): 0.0086, (3.0, 3.0): 0.0374, (13.0, 3.0): 0.0096, (16.0, 3.0): 0.0126, (6.0, 3.0): 0.0152, (19.0, 3.0): 0.0228, (12.0, 3.0): 0.0082, (22.0, 3.0): 0.2528, (15.0, 3.0): 0.0112, (9.0, 3.0): 0.009, (2.0, 3.0): 0.1076, (5.0, 3.0): 0.0184, (8.0, 3.0): 0.0124, (18.0, 3.0): 0.0122, (11.0, 3.0): 0.0092, (21.0, 3.0): 0.1034, (4.0, 3.0): 0.0238, (14.0, 3.0): 0.0126, }, {(7.0, 3.0): 0.0124, (1.0, 3.0): 0.248, (20.0, 3.0): 0.0382, (17.0, 3.0): 0.0164, (10.0, 3.0): 0.0104, (3.0, 3.0): 0.0358, (13.0, 3.0): 0.0082, (16.0, 3.0): 0.0116, (6.0, 3.0): 0.013, (19.0, 3.0): 0.0228, (12.0, 3.0): 0.0076, (22.0, 3.0): 0.252, (15.0, 3.0): 0.013, (9.0, 3.0): 0.009, (2.0, 3.0): 0.1046, (5.0, 3.0): 0.0196, (8.0, 3.0): 0.0126, (18.0, 3.0): 0.0188, (11.0, 3.0): 0.011, (21.0, 3.0): 0.1, (4.0, 3.0): 0.0238, (14.0, 3.0): 0.0112, }, ]
+21 Stop [{(7.0, 3.0): 0.014, (1.0, 3.0): 0.2582, (20.0, 3.0): 0.0362, (17.0, 3.0): 0.0128, (10.0, 3.0): 0.008, (3.0, 3.0): 0.038, (13.0, 3.0): 0.0084, (16.0, 3.0): 0.0104, (6.0, 3.0): 0.0148, (19.0, 3.0): 0.0196, (12.0, 3.0): 0.0078, (22.0, 3.0): 0.2624, (15.0, 3.0): 0.0122, (9.0, 3.0): 0.0078, (2.0, 3.0): 0.1058, (5.0, 3.0): 0.0156, (8.0, 3.0): 0.0082, (18.0, 3.0): 0.0168, (11.0, 3.0): 0.009, (21.0, 3.0): 0.1008, (4.0, 3.0): 0.0236, (14.0, 3.0): 0.0096, }, {(7.0, 3.0): 0.0148, (1.0, 3.0): 0.2544, (20.0, 3.0): 0.0364, (17.0, 3.0): 0.015, (10.0, 3.0): 0.0078, (3.0, 3.0): 0.0438, (13.0, 3.0): 0.009, (16.0, 3.0): 0.0136, (6.0, 3.0): 0.0112, (19.0, 3.0): 0.0232, (12.0, 3.0): 0.0066, (22.0, 3.0): 0.259, (15.0, 3.0): 0.009, (9.0, 3.0): 0.0106, (2.0, 3.0): 0.0998, (5.0, 3.0): 0.0156, (8.0, 3.0): 0.0092, (18.0, 3.0): 0.0176, (11.0, 3.0): 0.0086, (21.0, 3.0): 0.1028, (4.0, 3.0): 0.0232, (14.0, 3.0): 0.0088, }, ]
+22 Stop [{(7.0, 3.0): 0.0088, (1.0, 3.0): 0.2706, (20.0, 3.0): 0.0378, (17.0, 3.0): 0.012, (10.0, 3.0): 0.009, (3.0, 3.0): 0.0374, (13.0, 3.0): 0.007, (16.0, 3.0): 0.0112, (6.0, 3.0): 0.0132, (19.0, 3.0): 0.018, (12.0, 3.0): 0.0068, (22.0, 3.0): 0.2598, (15.0, 3.0): 0.0116, (9.0, 3.0): 0.0076, (2.0, 3.0): 0.1012, (5.0, 3.0): 0.0176, (8.0, 3.0): 0.009, (18.0, 3.0): 0.0146, (11.0, 3.0): 0.0066, (21.0, 3.0): 0.1104, (4.0, 3.0): 0.0228, (14.0, 3.0): 0.007, }, {(7.0, 3.0): 0.0104, (1.0, 3.0): 0.2532, (20.0, 3.0): 0.0376, (17.0, 3.0): 0.0158, (10.0, 3.0): 0.0076, (3.0, 3.0): 0.0412, (13.0, 3.0): 0.0052, (16.0, 3.0): 0.01, (6.0, 3.0): 0.0156, (19.0, 3.0): 0.0206, (12.0, 3.0): 0.0082, (22.0, 3.0): 0.2618, (15.0, 3.0): 0.0086, (9.0, 3.0): 0.0094, (2.0, 3.0): 0.1114, (5.0, 3.0): 0.0132, (8.0, 3.0): 0.0082, (18.0, 3.0): 0.0168, (11.0, 3.0): 0.006, (21.0, 3.0): 0.1086, (4.0, 3.0): 0.0214, (14.0, 3.0): 0.0092, }, ]
+23 Stop [{(7.0, 3.0): 0.0074, (1.0, 3.0): 0.2708, (20.0, 3.0): 0.037, (17.0, 3.0): 0.0114, (10.0, 3.0): 0.0062, (3.0, 3.0): 0.0386, (13.0, 3.0): 0.0072, (16.0, 3.0): 0.0116, (6.0, 3.0): 0.0092, (19.0, 3.0): 0.019, (12.0, 3.0): 0.0042, (22.0, 3.0): 0.2678, (15.0, 3.0): 0.008, (9.0, 3.0): 0.0078, (2.0, 3.0): 0.1072, (5.0, 3.0): 0.0156, (8.0, 3.0): 0.0096, (18.0, 3.0): 0.0132, (11.0, 3.0): 0.0068, (21.0, 3.0): 0.1082, (4.0, 3.0): 0.0248, (14.0, 3.0): 0.0084, }, {(7.0, 3.0): 0.0104, (1.0, 3.0): 0.2604, (20.0, 3.0): 0.0364, (17.0, 3.0): 0.0098, (10.0, 3.0): 0.0068, (3.0, 3.0): 0.0418, (13.0, 3.0): 0.007, (16.0, 3.0): 0.0102, (6.0, 3.0): 0.0136, (19.0, 3.0): 0.0238, (12.0, 3.0): 0.0058, (22.0, 3.0): 0.2684, (15.0, 3.0): 0.0084, (9.0, 3.0): 0.0068, (2.0, 3.0): 0.111, (5.0, 3.0): 0.015, (8.0, 3.0): 0.0078, (18.0, 3.0): 0.017, (11.0, 3.0): 0.005, (21.0, 3.0): 0.1084, (4.0, 3.0): 0.019, (14.0, 3.0): 0.0072, }, ]
+24 Stop [{(7.0, 3.0): 0.0082, (1.0, 3.0): 0.2684, (20.0, 3.0): 0.0376, (17.0, 3.0): 0.0106, (10.0, 3.0): 0.0038, (3.0, 3.0): 0.0406, (13.0, 3.0): 0.0064, (16.0, 3.0): 0.0108, (6.0, 3.0): 0.0096, (19.0, 3.0): 0.018, (12.0, 3.0): 0.006, (22.0, 3.0): 0.2706, (15.0, 3.0): 0.0086, (9.0, 3.0): 0.006, (2.0, 3.0): 0.1168, (5.0, 3.0): 0.0116, (8.0, 3.0): 0.0102, (18.0, 3.0): 0.0124, (11.0, 3.0): 0.0052, (21.0, 3.0): 0.1108, (4.0, 3.0): 0.0222, (14.0, 3.0): 0.0056, }, {(7.0, 3.0): 0.009, (1.0, 3.0): 0.2722, (20.0, 3.0): 0.0418, (17.0, 3.0): 0.0098, (10.0, 3.0): 0.0054, (3.0, 3.0): 0.0378, (13.0, 3.0): 0.0052, (16.0, 3.0): 0.0082, (6.0, 3.0): 0.0116, (19.0, 3.0): 0.022, (12.0, 3.0): 0.0042, (22.0, 3.0): 0.2688, (15.0, 3.0): 0.0082, (9.0, 3.0): 0.0066, (2.0, 3.0): 0.1068, (5.0, 3.0): 0.0138, (8.0, 3.0): 0.0072, (18.0, 3.0): 0.0146, (11.0, 3.0): 0.0056, (21.0, 3.0): 0.1118, (4.0, 3.0): 0.022, (14.0, 3.0): 0.0074, }, ]
+25 Stop [{(7.0, 3.0): 0.0094, (1.0, 3.0): 0.2842, (20.0, 3.0): 0.0346, (17.0, 3.0): 0.009, (10.0, 3.0): 0.003, (3.0, 3.0): 0.0368, (13.0, 3.0): 0.0048, (16.0, 3.0): 0.0112, (6.0, 3.0): 0.008, (19.0, 3.0): 0.0162, (12.0, 3.0): 0.0064, (22.0, 3.0): 0.2806, (15.0, 3.0): 0.006, (9.0, 3.0): 0.0054, (2.0, 3.0): 0.114, (5.0, 3.0): 0.011, (8.0, 3.0): 0.0078, (18.0, 3.0): 0.0122, (11.0, 3.0): 0.0042, (21.0, 3.0): 0.111, (4.0, 3.0): 0.0182, (14.0, 3.0): 0.006, }, {(7.0, 3.0): 0.0082, (1.0, 3.0): 0.2798, (20.0, 3.0): 0.0362, (17.0, 3.0): 0.008, (10.0, 3.0): 0.0052, (3.0, 3.0): 0.0396, (13.0, 3.0): 0.0038, (16.0, 3.0): 0.0082, (6.0, 3.0): 0.0094, (19.0, 3.0): 0.0212, (12.0, 3.0): 0.0042, (22.0, 3.0): 0.2788, (15.0, 3.0): 0.0076, (9.0, 3.0): 0.0058, (2.0, 3.0): 0.1078, (5.0, 3.0): 0.0144, (8.0, 3.0): 0.0064, (18.0, 3.0): 0.0136, (11.0, 3.0): 0.0044, (21.0, 3.0): 0.1136, (4.0, 3.0): 0.017, (14.0, 3.0): 0.0068, }, ]
+26 Stop [{(7.0, 3.0): 0.0074, (1.0, 3.0): 0.2912, (20.0, 3.0): 0.0396, (17.0, 3.0): 0.0116, (10.0, 3.0): 0.0038, (3.0, 3.0): 0.0402, (13.0, 3.0): 0.0056, (16.0, 3.0): 0.008, (6.0, 3.0): 0.0096, (19.0, 3.0): 0.018, (12.0, 3.0): 0.003, (22.0, 3.0): 0.2802, (15.0, 3.0): 0.005, (9.0, 3.0): 0.0038, (2.0, 3.0): 0.1098, (5.0, 3.0): 0.0088, (8.0, 3.0): 0.0066, (18.0, 3.0): 0.0084, (11.0, 3.0): 0.0044, (21.0, 3.0): 0.1124, (4.0, 3.0): 0.0176, (14.0, 3.0): 0.005, }, {(7.0, 3.0): 0.008, (1.0, 3.0): 0.282, (20.0, 3.0): 0.0396, (17.0, 3.0): 0.0086, (10.0, 3.0): 0.0032, (3.0, 3.0): 0.0388, (13.0, 3.0): 0.0036, (16.0, 3.0): 0.0074, (6.0, 3.0): 0.0088, (19.0, 3.0): 0.0194, (12.0, 3.0): 0.005, (22.0, 3.0): 0.2852, (15.0, 3.0): 0.0066, (9.0, 3.0): 0.0044, (2.0, 3.0): 0.1118, (5.0, 3.0): 0.01, (8.0, 3.0): 0.0058, (18.0, 3.0): 0.0106, (11.0, 3.0): 0.0048, (21.0, 3.0): 0.112, (4.0, 3.0): 0.0198, (14.0, 3.0): 0.0046, }, ]
+27 Stop [{(7.0, 3.0): 0.0074, (1.0, 3.0): 0.2966, (20.0, 3.0): 0.0396, (17.0, 3.0): 0.01, (10.0, 3.0): 0.0032, (3.0, 3.0): 0.038, (13.0, 3.0): 0.0026, (16.0, 3.0): 0.0064, (6.0, 3.0): 0.0086, (19.0, 3.0): 0.013, (12.0, 3.0): 0.0058, (22.0, 3.0): 0.2856, (15.0, 3.0): 0.0044, (9.0, 3.0): 0.0036, (2.0, 3.0): 0.1124, (5.0, 3.0): 0.0092, (8.0, 3.0): 0.0044, (18.0, 3.0): 0.012, (11.0, 3.0): 0.0032, (21.0, 3.0): 0.1138, (4.0, 3.0): 0.0156, (14.0, 3.0): 0.0046, }, {(7.0, 3.0): 0.0058, (1.0, 3.0): 0.2892, (20.0, 3.0): 0.0376, (17.0, 3.0): 0.008, (10.0, 3.0): 0.0042, (3.0, 3.0): 0.0404, (13.0, 3.0): 0.0046, (16.0, 3.0): 0.0086, (6.0, 3.0): 0.0088, (19.0, 3.0): 0.018, (12.0, 3.0): 0.0042, (22.0, 3.0): 0.2898, (15.0, 3.0): 0.0038, (9.0, 3.0): 0.0028, (2.0, 3.0): 0.1116, (5.0, 3.0): 0.0106, (8.0, 3.0): 0.0054, (18.0, 3.0): 0.0096, (11.0, 3.0): 0.0024, (21.0, 3.0): 0.1144, (4.0, 3.0): 0.0152, (14.0, 3.0): 0.005, }, ]
+28 Stop [{(7.0, 3.0): 0.0044, (1.0, 3.0): 0.3026, (20.0, 3.0): 0.035, (17.0, 3.0): 0.0062, (10.0, 3.0): 0.003, (3.0, 3.0): 0.0358, (13.0, 3.0): 0.0038, (16.0, 3.0): 0.0064, (6.0, 3.0): 0.008, (19.0, 3.0): 0.0174, (12.0, 3.0): 0.0024, (22.0, 3.0): 0.2838, (15.0, 3.0): 0.0044, (9.0, 3.0): 0.0044, (2.0, 3.0): 0.1152, (5.0, 3.0): 0.0092, (8.0, 3.0): 0.0034, (18.0, 3.0): 0.0106, (11.0, 3.0): 0.0032, (21.0, 3.0): 0.1232, (4.0, 3.0): 0.014, (14.0, 3.0): 0.0036, }, {(7.0, 3.0): 0.0062, (1.0, 3.0): 0.2978, (20.0, 3.0): 0.0378, (17.0, 3.0): 0.0088, (10.0, 3.0): 0.002, (3.0, 3.0): 0.033, (13.0, 3.0): 0.0048, (16.0, 3.0): 0.004, (6.0, 3.0): 0.0066, (19.0, 3.0): 0.0144, (12.0, 3.0): 0.0036, (22.0, 3.0): 0.2954, (15.0, 3.0): 0.005, (9.0, 3.0): 0.005, (2.0, 3.0): 0.1152, (5.0, 3.0): 0.0104, (8.0, 3.0): 0.0042, (18.0, 3.0): 0.011, (11.0, 3.0): 0.0018, (21.0, 3.0): 0.1152, (4.0, 3.0): 0.014, (14.0, 3.0): 0.0038, }, ]
+29 Stop [{(7.0, 3.0): 0.0046, (1.0, 3.0): 0.308, (20.0, 3.0): 0.0384, (17.0, 3.0): 0.0074, (10.0, 3.0): 0.004, (3.0, 3.0): 0.034, (13.0, 3.0): 0.0016, (16.0, 3.0): 0.0036, (6.0, 3.0): 0.0054, (19.0, 3.0): 0.0172, (12.0, 3.0): 0.0024, (22.0, 3.0): 0.2952, (15.0, 3.0): 0.005, (9.0, 3.0): 0.003, (2.0, 3.0): 0.1144, (5.0, 3.0): 0.0114, (8.0, 3.0): 0.0036, (18.0, 3.0): 0.0086, (11.0, 3.0): 0.0018, (21.0, 3.0): 0.1134, (4.0, 3.0): 0.0134, (14.0, 3.0): 0.0036, }, {(7.0, 3.0): 0.0056, (1.0, 3.0): 0.2948, (20.0, 3.0): 0.037, (17.0, 3.0): 0.0064, (10.0, 3.0): 0.0022, (3.0, 3.0): 0.0338, (13.0, 3.0): 0.0032, (16.0, 3.0): 0.0058, (6.0, 3.0): 0.007, (19.0, 3.0): 0.0168, (12.0, 3.0): 0.0018, (22.0, 3.0): 0.3002, (15.0, 3.0): 0.0054, (9.0, 3.0): 0.0024, (2.0, 3.0): 0.122, (5.0, 3.0): 0.009, (8.0, 3.0): 0.004, (18.0, 3.0): 0.0074, (11.0, 3.0): 0.0028, (21.0, 3.0): 0.115, (4.0, 3.0): 0.0136, (14.0, 3.0): 0.0038, }, ]
+30 Stop [{(7.0, 3.0): 0.004, (1.0, 3.0): 0.309, (20.0, 3.0): 0.0352, (17.0, 3.0): 0.0058, (10.0, 3.0): 0.0038, (3.0, 3.0): 0.0318, (13.0, 3.0): 0.0018, (16.0, 3.0): 0.0044, (6.0, 3.0): 0.0058, (19.0, 3.0): 0.0156, (12.0, 3.0): 0.0018, (22.0, 3.0): 0.2928, (15.0, 3.0): 0.0028, (9.0, 3.0): 0.0026, (2.0, 3.0): 0.1188, (5.0, 3.0): 0.0086, (8.0, 3.0): 0.0026, (18.0, 3.0): 0.0088, (11.0, 3.0): 0.0026, (21.0, 3.0): 0.1236, (4.0, 3.0): 0.0146, (14.0, 3.0): 0.0032, }, {(7.0, 3.0): 0.0048, (1.0, 3.0): 0.298, (20.0, 3.0): 0.037, (17.0, 3.0): 0.0078, (10.0, 3.0): 0.002, (3.0, 3.0): 0.033, (13.0, 3.0): 0.0014, (16.0, 3.0): 0.0048, (6.0, 3.0): 0.0084, (19.0, 3.0): 0.016, (12.0, 3.0): 0.0022, (22.0, 3.0): 0.3004, (15.0, 3.0): 0.0042, (9.0, 3.0): 0.0022, (2.0, 3.0): 0.1224, (5.0, 3.0): 0.0068, (8.0, 3.0): 0.0034, (18.0, 3.0): 0.007, (11.0, 3.0): 0.0024, (21.0, 3.0): 0.1184, (4.0, 3.0): 0.0138, (14.0, 3.0): 0.0036, }, ]
+31 Stop [{(7.0, 3.0): 0.003, (1.0, 3.0): 0.3102, (20.0, 3.0): 0.0348, (17.0, 3.0): 0.0044, (10.0, 3.0): 0.0022, (3.0, 3.0): 0.035, (13.0, 3.0): 0.0016, (16.0, 3.0): 0.0034, (6.0, 3.0): 0.005, (19.0, 3.0): 0.0168, (12.0, 3.0): 0.0024, (22.0, 3.0): 0.3018, (15.0, 3.0): 0.0034, (9.0, 3.0): 0.003, (2.0, 3.0): 0.1186, (5.0, 3.0): 0.007, (8.0, 3.0): 0.0028, (18.0, 3.0): 0.0098, (11.0, 3.0): 0.0018, (21.0, 3.0): 0.1166, (4.0, 3.0): 0.0148, (14.0, 3.0): 0.0016, }, {(7.0, 3.0): 0.0044, (1.0, 3.0): 0.305, (20.0, 3.0): 0.0376, (17.0, 3.0): 0.0054, (10.0, 3.0): 0.003, (3.0, 3.0): 0.0334, (13.0, 3.0): 0.0018, (16.0, 3.0): 0.005, (6.0, 3.0): 0.0058, (19.0, 3.0): 0.0144, (12.0, 3.0): 0.0016, (22.0, 3.0): 0.297, (15.0, 3.0): 0.0036, (9.0, 3.0): 0.0028, (2.0, 3.0): 0.1188, (5.0, 3.0): 0.0096, (8.0, 3.0): 0.0012, (18.0, 3.0): 0.008, (11.0, 3.0): 0.002, (21.0, 3.0): 0.1256, (4.0, 3.0): 0.012, (14.0, 3.0): 0.002, }, ]
+32 Stop [{(7.0, 3.0): 0.0034, (1.0, 3.0): 0.3126, (20.0, 3.0): 0.0358, (17.0, 3.0): 0.0054, (10.0, 3.0): 0.0012, (3.0, 3.0): 0.0368, (13.0, 3.0): 0.0018, (16.0, 3.0): 0.0048, (6.0, 3.0): 0.0042, (19.0, 3.0): 0.0142, (12.0, 3.0): 0.0024, (22.0, 3.0): 0.3056, (15.0, 3.0): 0.0024, (9.0, 3.0): 0.0028, (2.0, 3.0): 0.1178, (5.0, 3.0): 0.0066, (8.0, 3.0): 0.0028, (18.0, 3.0): 0.0058, (11.0, 3.0): 0.0004, (21.0, 3.0): 0.1176, (4.0, 3.0): 0.014, (14.0, 3.0): 0.0016, }, {(7.0, 3.0): 0.0024, (1.0, 3.0): 0.311, (20.0, 3.0): 0.0366, (17.0, 3.0): 0.0066, (10.0, 3.0): 0.0028, (3.0, 3.0): 0.032, (13.0, 3.0): 0.0016, (16.0, 3.0): 0.0036, (6.0, 3.0): 0.0078, (19.0, 3.0): 0.0122, (12.0, 3.0): 0.002, (22.0, 3.0): 0.3092, (15.0, 3.0): 0.0028, (9.0, 3.0): 0.0018, (2.0, 3.0): 0.118, (5.0, 3.0): 0.0062, (8.0, 3.0): 0.0022, (18.0, 3.0): 0.0068, (11.0, 3.0): 0.0014, (21.0, 3.0): 0.119, (4.0, 3.0): 0.0118, (14.0, 3.0): 0.0022, }, ]
+33 Stop [{(7.0, 3.0): 0.003, (1.0, 3.0): 0.3116, (20.0, 3.0): 0.0342, (17.0, 3.0): 0.0058, (10.0, 3.0): 0.0006, (3.0, 3.0): 0.0344, (13.0, 3.0): 0.002, (16.0, 3.0): 0.0032, (6.0, 3.0): 0.0058, (19.0, 3.0): 0.0132, (12.0, 3.0): 0.0008, (22.0, 3.0): 0.308, (15.0, 3.0): 0.0024, (9.0, 3.0): 0.0018, (2.0, 3.0): 0.1224, (5.0, 3.0): 0.0058, (8.0, 3.0): 0.002, (18.0, 3.0): 0.0064, (11.0, 3.0): 0.001, (21.0, 3.0): 0.119, (4.0, 3.0): 0.0146, (14.0, 3.0): 0.002, }, {(7.0, 3.0): 0.0024, (1.0, 3.0): 0.3088, (20.0, 3.0): 0.0328, (17.0, 3.0): 0.004, (10.0, 3.0): 0.0018, (3.0, 3.0): 0.035, (13.0, 3.0): 0.002, (16.0, 3.0): 0.0036, (6.0, 3.0): 0.004, (19.0, 3.0): 0.0144, (12.0, 3.0): 0.0012, (22.0, 3.0): 0.3128, (15.0, 3.0): 0.0018, (9.0, 3.0): 0.0022, (2.0, 3.0): 0.1214, (5.0, 3.0): 0.0084, (8.0, 3.0): 0.0028, (18.0, 3.0): 0.0074, (11.0, 3.0): 0.0016, (21.0, 3.0): 0.1208, (4.0, 3.0): 0.0094, (14.0, 3.0): 0.0014, }, ]
+34 Stop [{(7.0, 3.0): 0.0028, (1.0, 3.0): 0.3084, (20.0, 3.0): 0.0322, (17.0, 3.0): 0.0034, (10.0, 3.0): 0.001, (3.0, 3.0): 0.0364, (13.0, 3.0): 0.0008, (16.0, 3.0): 0.0028, (6.0, 3.0): 0.0044, (19.0, 3.0): 0.0138, (12.0, 3.0): 0.0014, (22.0, 3.0): 0.3102, (15.0, 3.0): 0.0024, (9.0, 3.0): 0.0008, (2.0, 3.0): 0.1262, (5.0, 3.0): 0.0084, (8.0, 3.0): 0.0018, (18.0, 3.0): 0.0066, (11.0, 3.0): 0.0008, (21.0, 3.0): 0.1216, (4.0, 3.0): 0.0118, (14.0, 3.0): 0.002, }, {(7.0, 3.0): 0.0036, (1.0, 3.0): 0.3082, (20.0, 3.0): 0.0334, (17.0, 3.0): 0.0042, (10.0, 3.0): 0.001, (3.0, 3.0): 0.0282, (13.0, 3.0): 0.0008, (16.0, 3.0): 0.0026, (6.0, 3.0): 0.004, (19.0, 3.0): 0.0122, (12.0, 3.0): 0.0018, (22.0, 3.0): 0.3214, (15.0, 3.0): 0.0012, (9.0, 3.0): 0.0012, (2.0, 3.0): 0.1272, (5.0, 3.0): 0.0058, (8.0, 3.0): 0.0028, (18.0, 3.0): 0.0064, (11.0, 3.0): 0.0014, (21.0, 3.0): 0.1164, (4.0, 3.0): 0.014, (14.0, 3.0): 0.0022, }, ]
+35 Stop [{(7.0, 3.0): 0.002, (1.0, 3.0): 0.317, (20.0, 3.0): 0.035, (17.0, 3.0): 0.0036, (10.0, 3.0): 0.001, (3.0, 3.0): 0.0354, (13.0, 3.0): 0.0014, (16.0, 3.0): 0.0022, (6.0, 3.0): 0.003, (19.0, 3.0): 0.012, (12.0, 3.0): 0.0006, (22.0, 3.0): 0.3116, (15.0, 3.0): 0.001, (9.0, 3.0): 0.0008, (2.0, 3.0): 0.1208, (5.0, 3.0): 0.0084, (8.0, 3.0): 0.0014, (18.0, 3.0): 0.005, (11.0, 3.0): 0.001, (21.0, 3.0): 0.1222, (4.0, 3.0): 0.0126, (14.0, 3.0): 0.002, }, {(7.0, 3.0): 0.0026, (1.0, 3.0): 0.316, (20.0, 3.0): 0.0376, (17.0, 3.0): 0.0036, (10.0, 3.0): 0.0008, (3.0, 3.0): 0.0364, (13.0, 3.0): 0.0014, (16.0, 3.0): 0.0024, (6.0, 3.0): 0.0036, (19.0, 3.0): 0.0122, (12.0, 3.0): 0.0014, (22.0, 3.0): 0.3194, (15.0, 3.0): 0.0018, (9.0, 3.0): 0.0014, (2.0, 3.0): 0.1154, (5.0, 3.0): 0.0058, (8.0, 3.0): 0.002, (18.0, 3.0): 0.005, (11.0, 3.0): 0.001, (21.0, 3.0): 0.1174, (4.0, 3.0): 0.0118, (14.0, 3.0): 0.001, }, ]
+36 Stop [{(7.0, 3.0): 0.0022, (1.0, 3.0): 0.315, (20.0, 3.0): 0.0358, (17.0, 3.0): 0.0034, (10.0, 3.0): 0.0006, (3.0, 3.0): 0.0316, (13.0, 3.0): 0.0012, (16.0, 3.0): 0.0008, (6.0, 3.0): 0.0042, (19.0, 3.0): 0.0114, (12.0, 3.0): 0.0004, (22.0, 3.0): 0.317, (15.0, 3.0): 0.002, (9.0, 3.0): 0.0014, (2.0, 3.0): 0.1274, (5.0, 3.0): 0.0042, (8.0, 3.0): 0.001, (18.0, 3.0): 0.0058, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1174, (4.0, 3.0): 0.0154, (14.0, 3.0): 0.0016, }, {(7.0, 3.0): 0.0024, (1.0, 3.0): 0.3088, (20.0, 3.0): 0.0334, (17.0, 3.0): 0.0034, (10.0, 3.0): 0.0008, (3.0, 3.0): 0.0372, (13.0, 3.0): 0.001, (16.0, 3.0): 0.002, (6.0, 3.0): 0.0032, (19.0, 3.0): 0.0118, (12.0, 3.0): 0.001, (22.0, 3.0): 0.3194, (15.0, 3.0): 0.0012, (9.0, 3.0): 0.0016, (2.0, 3.0): 0.1246, (5.0, 3.0): 0.0048, (8.0, 3.0): 0.001, (18.0, 3.0): 0.0046, (11.0, 3.0): 0.0012, (21.0, 3.0): 0.1234, (4.0, 3.0): 0.0114, (14.0, 3.0): 0.0018, }, ]
+37 Stop [{(7.0, 3.0): 0.0018, (1.0, 3.0): 0.3162, (20.0, 3.0): 0.0322, (17.0, 3.0): 0.0016, (10.0, 3.0): 0.0014, (3.0, 3.0): 0.0372, (13.0, 3.0): 0.0006, (16.0, 3.0): 0.0024, (6.0, 3.0): 0.0022, (19.0, 3.0): 0.0118, (12.0, 3.0): 0.0004, (22.0, 3.0): 0.3152, (15.0, 3.0): 0.0012, (9.0, 3.0): 0.0002, (2.0, 3.0): 0.1254, (5.0, 3.0): 0.0054, (8.0, 3.0): 0.0012, (18.0, 3.0): 0.0056, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1244, (4.0, 3.0): 0.012, (14.0, 3.0): 0.0014, }, {(7.0, 3.0): 0.0014, (1.0, 3.0): 0.314, (20.0, 3.0): 0.0344, (17.0, 3.0): 0.0026, (10.0, 3.0): 0.0014, (3.0, 3.0): 0.0354, (13.0, 3.0): 0.0012, (16.0, 3.0): 0.0012, (6.0, 3.0): 0.0034, (19.0, 3.0): 0.008, (12.0, 3.0): 0.001, (22.0, 3.0): 0.322, (15.0, 3.0): 0.0022, (9.0, 3.0): 0.0012, (2.0, 3.0): 0.1248, (5.0, 3.0): 0.003, (8.0, 3.0): 0.0012, (18.0, 3.0): 0.0042, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.125, (4.0, 3.0): 0.0108, (14.0, 3.0): 0.0014, }, ]
+38 Stop [{(22.0, 3.0): 0.3194, (7.0, 3.0): 0.0006, (8.0, 3.0): 0.0006, (1.0, 3.0): 0.314, (18.0, 3.0): 0.0044, (3.0, 3.0): 0.0386, (20.0, 3.0): 0.0342, (13.0, 3.0): 0.0006, (15.0, 3.0): 0.0014, (16.0, 3.0): 0.001, (9.0, 3.0): 0.0014, (11.0, 3.0): 0.0008, (21.0, 3.0): 0.1224, (6.0, 3.0): 0.0032, (17.0, 3.0): 0.0028, (2.0, 3.0): 0.1252, (19.0, 3.0): 0.0094, (4.0, 3.0): 0.0138, (14.0, 3.0): 0.0008, (10.0, 3.0): 0.0002, (5.0, 3.0): 0.0052, }, {(7.0, 3.0): 0.0014, (1.0, 3.0): 0.316, (20.0, 3.0): 0.0338, (17.0, 3.0): 0.0022, (10.0, 3.0): 0.0004, (3.0, 3.0): 0.035, (13.0, 3.0): 0.0012, (16.0, 3.0): 0.0022, (6.0, 3.0): 0.002, (19.0, 3.0): 0.0066, (12.0, 3.0): 0.0006, (22.0, 3.0): 0.3244, (15.0, 3.0): 0.0014, (9.0, 3.0): 0.0014, (2.0, 3.0): 0.1236, (5.0, 3.0): 0.0054, (8.0, 3.0): 0.0008, (18.0, 3.0): 0.0042, (11.0, 3.0): 0.0008, (21.0, 3.0): 0.1252, (4.0, 3.0): 0.0104, (14.0, 3.0): 0.001, }, ]
+39 Stop [{(22.0, 3.0): 0.324, (7.0, 3.0): 0.001, (8.0, 3.0): 0.0012, (1.0, 3.0): 0.3144, (18.0, 3.0): 0.005, (3.0, 3.0): 0.0386, (20.0, 3.0): 0.0346, (15.0, 3.0): 0.0008, (16.0, 3.0): 0.0018, (9.0, 3.0): 0.0006, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1178, (6.0, 3.0): 0.0018, (17.0, 3.0): 0.0014, (2.0, 3.0): 0.1282, (19.0, 3.0): 0.0102, (4.0, 3.0): 0.013, (14.0, 3.0): 0.0006, (10.0, 3.0): 0.0008, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0038, }, {(7.0, 3.0): 0.0006, (1.0, 3.0): 0.323, (20.0, 3.0): 0.031, (17.0, 3.0): 0.0036, (10.0, 3.0): 0.0006, (3.0, 3.0): 0.032, (13.0, 3.0): 0.0006, (16.0, 3.0): 0.0014, (6.0, 3.0): 0.002, (19.0, 3.0): 0.0078, (12.0, 3.0): 0.0008, (22.0, 3.0): 0.3216, (15.0, 3.0): 0.0012, (9.0, 3.0): 0.0006, (2.0, 3.0): 0.1216, (5.0, 3.0): 0.0038, (8.0, 3.0): 0.0012, (18.0, 3.0): 0.0022, (11.0, 3.0): 0.0006, (21.0, 3.0): 0.1318, (4.0, 3.0): 0.011, (14.0, 3.0): 0.001, }, ]
+40 Stop [{(22.0, 3.0): 0.3176, (7.0, 3.0): 0.0008, (8.0, 3.0): 0.0008, (1.0, 3.0): 0.3216, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0366, (20.0, 3.0): 0.0318, (15.0, 3.0): 0.0008, (16.0, 3.0): 0.0014, (9.0, 3.0): 0.001, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1286, (6.0, 3.0): 0.0014, (17.0, 3.0): 0.0032, (2.0, 3.0): 0.1258, (19.0, 3.0): 0.0102, (4.0, 3.0): 0.011, (10.0, 3.0): 0.0006, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0038, }, {(7.0, 3.0): 0.0014, (1.0, 3.0): 0.3208, (20.0, 3.0): 0.0336, (17.0, 3.0): 0.0028, (10.0, 3.0): 0.0006, (3.0, 3.0): 0.0356, (13.0, 3.0): 0.0004, (16.0, 3.0): 0.0016, (6.0, 3.0): 0.0016, (19.0, 3.0): 0.006, (12.0, 3.0): 0.0004, (22.0, 3.0): 0.3376, (15.0, 3.0): 0.0008, (9.0, 3.0): 0.0008, (2.0, 3.0): 0.1224, (5.0, 3.0): 0.0046, (8.0, 3.0): 0.0004, (18.0, 3.0): 0.0042, (11.0, 3.0): 0.0004, (21.0, 3.0): 0.1148, (4.0, 3.0): 0.0084, (14.0, 3.0): 0.0008, }, ]
+41 Stop [{(7.0, 3.0): 0.0008, (1.0, 3.0): 0.3196, (20.0, 3.0): 0.032, (17.0, 3.0): 0.0028, (10.0, 3.0): 0.0006, (3.0, 3.0): 0.0382, (13.0, 3.0): 0.0002, (16.0, 3.0): 0.0006, (6.0, 3.0): 0.0016, (19.0, 3.0): 0.009, (12.0, 3.0): 0.0002, (22.0, 3.0): 0.3348, (15.0, 3.0): 0.0002, (9.0, 3.0): 0.0004, (2.0, 3.0): 0.1262, (5.0, 3.0): 0.0028, (8.0, 3.0): 0.0006, (18.0, 3.0): 0.0042, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1122, (4.0, 3.0): 0.0124, (14.0, 3.0): 0.0004, }, {(7.0, 3.0): 0.001, (1.0, 3.0): 0.3216, (20.0, 3.0): 0.0284, (17.0, 3.0): 0.0022, (10.0, 3.0): 0.0006, (3.0, 3.0): 0.0284, (13.0, 3.0): 0.0002, (16.0, 3.0): 0.0016, (6.0, 3.0): 0.0024, (19.0, 3.0): 0.0088, (12.0, 3.0): 0.0002, (22.0, 3.0): 0.3316, (15.0, 3.0): 0.0008, (9.0, 3.0): 0.0006, (2.0, 3.0): 0.1284, (5.0, 3.0): 0.0026, (8.0, 3.0): 0.001, (18.0, 3.0): 0.0032, (11.0, 3.0): 0.0004, (21.0, 3.0): 0.125, (4.0, 3.0): 0.0102, (14.0, 3.0): 0.0008, }, ]
+42 Stop [{(7.0, 3.0): 0.0006, (1.0, 3.0): 0.3248, (20.0, 3.0): 0.0316, (17.0, 3.0): 0.0024, (10.0, 3.0): 0.0002, (3.0, 3.0): 0.0356, (13.0, 3.0): 0.0002, (16.0, 3.0): 0.0008, (6.0, 3.0): 0.0018, (19.0, 3.0): 0.0074, (12.0, 3.0): 0.0002, (22.0, 3.0): 0.3256, (15.0, 3.0): 0.0006, (9.0, 3.0): 0.0004, (2.0, 3.0): 0.1252, (5.0, 3.0): 0.0024, (8.0, 3.0): 0.0006, (18.0, 3.0): 0.0044, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1234, (4.0, 3.0): 0.0114, (14.0, 3.0): 0.0002, }, {(22.0, 3.0): 0.3304, (7.0, 3.0): 0.001, (8.0, 3.0): 0.0006, (1.0, 3.0): 0.3344, (18.0, 3.0): 0.0028, (3.0, 3.0): 0.0324, (20.0, 3.0): 0.0314, (15.0, 3.0): 0.0008, (16.0, 3.0): 0.002, (9.0, 3.0): 0.0004, (11.0, 3.0): 0.0006, (21.0, 3.0): 0.1248, (6.0, 3.0): 0.002, (17.0, 3.0): 0.0018, (2.0, 3.0): 0.1124, (19.0, 3.0): 0.008, (4.0, 3.0): 0.0096, (14.0, 3.0): 0.0006, (10.0, 3.0): 0.0004, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0034, }, ]
+43 Stop [{(22.0, 3.0): 0.3256, (7.0, 3.0): 0.0012, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.3224, (18.0, 3.0): 0.0028, (3.0, 3.0): 0.0378, (20.0, 3.0): 0.028, (15.0, 3.0): 0.0004, (16.0, 3.0): 0.001, (9.0, 3.0): 0.0002, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1254, (6.0, 3.0): 0.0012, (17.0, 3.0): 0.0028, (2.0, 3.0): 0.1276, (19.0, 3.0): 0.0104, (4.0, 3.0): 0.0088, (14.0, 3.0): 0.0002, (10.0, 3.0): 0.0004, (5.0, 3.0): 0.0034, }, {(22.0, 3.0): 0.3352, (7.0, 3.0): 0.001, (8.0, 3.0): 0.0004, (1.0, 3.0): 0.3312, (18.0, 3.0): 0.0034, (3.0, 3.0): 0.0266, (20.0, 3.0): 0.0292, (13.0, 3.0): 0.0002, (15.0, 3.0): 0.0004, (16.0, 3.0): 0.0012, (11.0, 3.0): 0.0004, (21.0, 3.0): 0.1232, (6.0, 3.0): 0.002, (17.0, 3.0): 0.0022, (2.0, 3.0): 0.1208, (19.0, 3.0): 0.007, (4.0, 3.0): 0.0098, (14.0, 3.0): 0.0008, (10.0, 3.0): 0.0006, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0042, }, ]
+44 Stop [{(22.0, 3.0): 0.33, (7.0, 3.0): 0.0006, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.329, (18.0, 3.0): 0.0046, (3.0, 3.0): 0.0362, (20.0, 3.0): 0.0342, (15.0, 3.0): 0.0004, (16.0, 3.0): 0.0008, (9.0, 3.0): 0.0002, (11.0, 3.0): 0.0004, (21.0, 3.0): 0.1164, (6.0, 3.0): 0.0016, (17.0, 3.0): 0.001, (2.0, 3.0): 0.1222, (19.0, 3.0): 0.0088, (4.0, 3.0): 0.0114, (14.0, 3.0): 0.0004, (5.0, 3.0): 0.0016, }, {(22.0, 3.0): 0.3282, (7.0, 3.0): 0.0002, (8.0, 3.0): 0.0004, (1.0, 3.0): 0.3346, (18.0, 3.0): 0.0032, (3.0, 3.0): 0.0296, (20.0, 3.0): 0.0316, (13.0, 3.0): 0.0006, (15.0, 3.0): 0.0008, (16.0, 3.0): 0.0012, (9.0, 3.0): 0.0002, (11.0, 3.0): 0.0004, (21.0, 3.0): 0.1284, (6.0, 3.0): 0.0016, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1154, (19.0, 3.0): 0.0084, (4.0, 3.0): 0.01, (12.0, 3.0): 0.0004, (5.0, 3.0): 0.0042, }, ]
+45 Stop [{(22.0, 3.0): 0.3218, (7.0, 3.0): 0.0004, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.3376, (18.0, 3.0): 0.0024, (3.0, 3.0): 0.0334, (20.0, 3.0): 0.0354, (13.0, 3.0): 0.0002, (15.0, 3.0): 0.0002, (16.0, 3.0): 0.0012, (21.0, 3.0): 0.1234, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1174, (19.0, 3.0): 0.0114, (4.0, 3.0): 0.01, (10.0, 3.0): 0.0006, (5.0, 3.0): 0.0032, }, {(22.0, 3.0): 0.3294, (7.0, 3.0): 0.0004, (8.0, 3.0): 0.0004, (1.0, 3.0): 0.3264, (18.0, 3.0): 0.003, (3.0, 3.0): 0.0312, (20.0, 3.0): 0.029, (15.0, 3.0): 0.0002, (16.0, 3.0): 0.001, (11.0, 3.0): 0.0004, (21.0, 3.0): 0.1292, (6.0, 3.0): 0.0014, (17.0, 3.0): 0.0014, (2.0, 3.0): 0.123, (19.0, 3.0): 0.0092, (4.0, 3.0): 0.0094, (14.0, 3.0): 0.0004, (10.0, 3.0): 0.0002, (12.0, 3.0): 0.0004, (5.0, 3.0): 0.004, }, ]
+46 Stop [{(22.0, 3.0): 0.3264, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3358, (18.0, 3.0): 0.0024, (3.0, 3.0): 0.0312, (20.0, 3.0): 0.0324, (16.0, 3.0): 0.001, (9.0, 3.0): 0.0004, (21.0, 3.0): 0.1232, (6.0, 3.0): 0.0016, (17.0, 3.0): 0.0012, (2.0, 3.0): 0.1232, (19.0, 3.0): 0.0098, (4.0, 3.0): 0.0094, (14.0, 3.0): 0.0002, (10.0, 3.0): 0.0002, (5.0, 3.0): 0.0014, }, {(22.0, 3.0): 0.3334, (7.0, 3.0): 0.001, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.3362, (18.0, 3.0): 0.0032, (3.0, 3.0): 0.0308, (20.0, 3.0): 0.0344, (13.0, 3.0): 0.0004, (15.0, 3.0): 0.0006, (16.0, 3.0): 0.0008, (11.0, 3.0): 0.0004, (21.0, 3.0): 0.1206, (6.0, 3.0): 0.0014, (17.0, 3.0): 0.0008, (2.0, 3.0): 0.115, (19.0, 3.0): 0.0088, (4.0, 3.0): 0.0084, (10.0, 3.0): 0.0004, (5.0, 3.0): 0.0032, }, ]
+47 Stop [{(22.0, 3.0): 0.3288, (7.0, 3.0): 0.0006, (8.0, 3.0): 0.0004, (1.0, 3.0): 0.3346, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0322, (20.0, 3.0): 0.0314, (15.0, 3.0): 0.0004, (9.0, 3.0): 0.0002, (21.0, 3.0): 0.123, (6.0, 3.0): 0.0002, (17.0, 3.0): 0.0012, (2.0, 3.0): 0.1248, (19.0, 3.0): 0.0092, (4.0, 3.0): 0.0072, (5.0, 3.0): 0.0032, }, {(22.0, 3.0): 0.3316, (7.0, 3.0): 0.0004, (1.0, 3.0): 0.3318, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0274, (20.0, 3.0): 0.0278, (15.0, 3.0): 0.0002, (16.0, 3.0): 0.0008, (9.0, 3.0): 0.0002, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.128, (6.0, 3.0): 0.0018, (17.0, 3.0): 0.0014, (2.0, 3.0): 0.123, (19.0, 3.0): 0.0102, (4.0, 3.0): 0.008, (14.0, 3.0): 0.0004, (10.0, 3.0): 0.0002, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0038, }, ]
+48 Stop [{(22.0, 3.0): 0.3256, (7.0, 3.0): 0.0008, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.3388, (18.0, 3.0): 0.0028, (3.0, 3.0): 0.0308, (20.0, 3.0): 0.0326, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1246, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0016, (2.0, 3.0): 0.1216, (19.0, 3.0): 0.009, (4.0, 3.0): 0.0092, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.0012, }, {(22.0, 3.0): 0.3344, (7.0, 3.0): 0.0004, (8.0, 3.0): 0.0004, (1.0, 3.0): 0.3328, (18.0, 3.0): 0.0028, (3.0, 3.0): 0.0298, (20.0, 3.0): 0.0322, (13.0, 3.0): 0.0002, (15.0, 3.0): 0.0002, (16.0, 3.0): 0.0004, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1234, (6.0, 3.0): 0.0018, (17.0, 3.0): 0.0012, (2.0, 3.0): 0.1218, (19.0, 3.0): 0.0082, (4.0, 3.0): 0.0062, (14.0, 3.0): 0.0002, (10.0, 3.0): 0.0002, (5.0, 3.0): 0.0032, }, ]
+49 Stop [{(22.0, 3.0): 0.3296, (7.0, 3.0): 0.001, (1.0, 3.0): 0.3248, (18.0, 3.0): 0.0032, (3.0, 3.0): 0.0356, (20.0, 3.0): 0.0324, (15.0, 3.0): 0.0002, (21.0, 3.0): 0.122, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1314, (19.0, 3.0): 0.0088, (4.0, 3.0): 0.0078, (5.0, 3.0): 0.0024, }, {(22.0, 3.0): 0.338, (7.0, 3.0): 0.0006, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.326, (18.0, 3.0): 0.0024, (3.0, 3.0): 0.028, (20.0, 3.0): 0.0298, (15.0, 3.0): 0.0004, (16.0, 3.0): 0.0006, (9.0, 3.0): 0.0002, (21.0, 3.0): 0.1214, (6.0, 3.0): 0.001, (17.0, 3.0): 0.001, (2.0, 3.0): 0.1304, (19.0, 3.0): 0.0094, (4.0, 3.0): 0.0072, (14.0, 3.0): 0.0002, (10.0, 3.0): 0.0002, (5.0, 3.0): 0.003, }, ]
+50 Stop [{(22.0, 3.0): 0.331, (7.0, 3.0): 0.0002, (8.0, 3.0): 0.0004, (1.0, 3.0): 0.3292, (18.0, 3.0): 0.002, (3.0, 3.0): 0.0358, (20.0, 3.0): 0.0304, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1216, (6.0, 3.0): 0.001, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1248, (19.0, 3.0): 0.011, (4.0, 3.0): 0.0096, (5.0, 3.0): 0.0024, }, {(22.0, 3.0): 0.3288, (7.0, 3.0): 0.0006, (1.0, 3.0): 0.326, (18.0, 3.0): 0.003, (3.0, 3.0): 0.035, (20.0, 3.0): 0.0328, (15.0, 3.0): 0.0002, (16.0, 3.0): 0.0004, (9.0, 3.0): 0.0002, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1276, (6.0, 3.0): 0.0012, (17.0, 3.0): 0.001, (2.0, 3.0): 0.1228, (19.0, 3.0): 0.0092, (4.0, 3.0): 0.0098, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.001, }, ]
+51 Stop [{(22.0, 3.0): 0.3356, (7.0, 3.0): 0.0004, (1.0, 3.0): 0.327, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0334, (20.0, 3.0): 0.0276, (21.0, 3.0): 0.1222, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.13, (19.0, 3.0): 0.0084, (4.0, 3.0): 0.0092, (5.0, 3.0): 0.003, }, {(22.0, 3.0): 0.3334, (7.0, 3.0): 0.0004, (8.0, 3.0): 0.0004, (1.0, 3.0): 0.3162, (18.0, 3.0): 0.0028, (3.0, 3.0): 0.032, (20.0, 3.0): 0.031, (15.0, 3.0): 0.0002, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1256, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0014, (2.0, 3.0): 0.1362, (19.0, 3.0): 0.0086, (4.0, 3.0): 0.008, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0026, }, ]
+52 Stop [{(22.0, 3.0): 0.329, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.3274, (18.0, 3.0): 0.0016, (3.0, 3.0): 0.0382, (20.0, 3.0): 0.033, (21.0, 3.0): 0.1248, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1258, (19.0, 3.0): 0.0078, (4.0, 3.0): 0.0082, (5.0, 3.0): 0.0028, }, {(22.0, 3.0): 0.3378, (7.0, 3.0): 0.0006, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.3274, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0394, (20.0, 3.0): 0.0306, (16.0, 3.0): 0.0004, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1216, (6.0, 3.0): 0.0014, (17.0, 3.0): 0.001, (2.0, 3.0): 0.1178, (19.0, 3.0): 0.0098, (4.0, 3.0): 0.0074, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.0024, }, ]
+53 Stop [{(22.0, 3.0): 0.3316, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3282, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0352, (20.0, 3.0): 0.0314, (21.0, 3.0): 0.122, (6.0, 3.0): 0.001, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.1272, (19.0, 3.0): 0.0088, (4.0, 3.0): 0.0096, (5.0, 3.0): 0.002, }, {(22.0, 3.0): 0.3336, (7.0, 3.0): 0.0002, (8.0, 3.0): 0.0004, (1.0, 3.0): 0.3222, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0328, (20.0, 3.0): 0.0318, (15.0, 3.0): 0.0002, (16.0, 3.0): 0.0004, (21.0, 3.0): 0.1276, (6.0, 3.0): 0.0012, (17.0, 3.0): 0.0008, (2.0, 3.0): 0.1292, (19.0, 3.0): 0.007, (4.0, 3.0): 0.0082, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0024, }, ]
+54 Stop [{(22.0, 3.0): 0.3276, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3318, (18.0, 3.0): 0.0012, (3.0, 3.0): 0.0336, (20.0, 3.0): 0.0278, (21.0, 3.0): 0.1282, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.1272, (19.0, 3.0): 0.0116, (4.0, 3.0): 0.0084, (5.0, 3.0): 0.0018, }, {(22.0, 3.0): 0.3298, (7.0, 3.0): 0.0004, (1.0, 3.0): 0.327, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0284, (20.0, 3.0): 0.0318, (16.0, 3.0): 0.0002, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.132, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0018, (2.0, 3.0): 0.1274, (19.0, 3.0): 0.0056, (4.0, 3.0): 0.0104, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.0022, }, ]
+55 Stop [{(22.0, 3.0): 0.3354, (1.0, 3.0): 0.3366, (18.0, 3.0): 0.0032, (3.0, 3.0): 0.0304, (20.0, 3.0): 0.0306, (21.0, 3.0): 0.1194, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.1252, (19.0, 3.0): 0.0078, (4.0, 3.0): 0.0082, (5.0, 3.0): 0.0026, }, {(22.0, 3.0): 0.3346, (7.0, 3.0): 0.0004, (1.0, 3.0): 0.3284, (18.0, 3.0): 0.003, (3.0, 3.0): 0.0306, (20.0, 3.0): 0.032, (15.0, 3.0): 0.0002, (21.0, 3.0): 0.1248, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.001, (2.0, 3.0): 0.124, (19.0, 3.0): 0.0076, (4.0, 3.0): 0.0092, (10.0, 3.0): 0.0002, (5.0, 3.0): 0.0034, }, ]
+56 Stop [{(22.0, 3.0): 0.3324, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3328, (18.0, 3.0): 0.0014, (3.0, 3.0): 0.032, (20.0, 3.0): 0.0322, (21.0, 3.0): 0.1222, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.1274, (19.0, 3.0): 0.0082, (4.0, 3.0): 0.0084, (5.0, 3.0): 0.002, }, {(22.0, 3.0): 0.3378, (7.0, 3.0): 0.0002, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.334, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.031, (20.0, 3.0): 0.0324, (16.0, 3.0): 0.0004, (11.0, 3.0): 0.0002, (21.0, 3.0): 0.1224, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0014, (2.0, 3.0): 0.1186, (19.0, 3.0): 0.0062, (4.0, 3.0): 0.011, (5.0, 3.0): 0.001, }, ]
+57 Stop [{(22.0, 3.0): 0.3302, (1.0, 3.0): 0.3328, (18.0, 3.0): 0.0016, (3.0, 3.0): 0.0304, (20.0, 3.0): 0.0286, (21.0, 3.0): 0.13, (6.0, 3.0): 0.0008, (2.0, 3.0): 0.1278, (19.0, 3.0): 0.0062, (4.0, 3.0): 0.0096, (5.0, 3.0): 0.002, }, {(22.0, 3.0): 0.329, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3332, (18.0, 3.0): 0.0022, (3.0, 3.0): 0.031, (20.0, 3.0): 0.0314, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1312, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0008, (2.0, 3.0): 0.1202, (19.0, 3.0): 0.0084, (4.0, 3.0): 0.0098, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0014, }, ]
+58 Stop [{(22.0, 3.0): 0.3306, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.335, (18.0, 3.0): 0.0016, (3.0, 3.0): 0.0308, (20.0, 3.0): 0.031, (21.0, 3.0): 0.126, (6.0, 3.0): 0.0006, (2.0, 3.0): 0.1248, (19.0, 3.0): 0.0074, (4.0, 3.0): 0.0092, (5.0, 3.0): 0.0028, }, {(22.0, 3.0): 0.3324, (1.0, 3.0): 0.3208, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.031, (20.0, 3.0): 0.037, (13.0, 3.0): 0.0002, (21.0, 3.0): 0.123, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1342, (19.0, 3.0): 0.0076, (4.0, 3.0): 0.0076, (5.0, 3.0): 0.0024, }, ]
+59 Stop [{(22.0, 3.0): 0.3368, (1.0, 3.0): 0.3368, (18.0, 3.0): 0.0022, (3.0, 3.0): 0.0286, (20.0, 3.0): 0.0284, (21.0, 3.0): 0.1222, (6.0, 3.0): 0.0014, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.126, (19.0, 3.0): 0.0066, (4.0, 3.0): 0.0078, (5.0, 3.0): 0.0028, }, {(22.0, 3.0): 0.338, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3274, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0336, (20.0, 3.0): 0.0308, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1218, (6.0, 3.0): 0.0002, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.124, (19.0, 3.0): 0.0094, (4.0, 3.0): 0.0086, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.0026, }, ]
+60 Stop [{(22.0, 3.0): 0.3316, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3322, (18.0, 3.0): 0.002, (3.0, 3.0): 0.0324, (20.0, 3.0): 0.0258, (21.0, 3.0): 0.1288, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1278, (19.0, 3.0): 0.0078, (4.0, 3.0): 0.0074, (5.0, 3.0): 0.0028, }, {(22.0, 3.0): 0.34, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3304, (18.0, 3.0): 0.0024, (3.0, 3.0): 0.0322, (20.0, 3.0): 0.029, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1236, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1224, (19.0, 3.0): 0.0076, (4.0, 3.0): 0.009, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.0018, }, ]
+61 Stop [{(22.0, 3.0): 0.3422, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3386, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0262, (20.0, 3.0): 0.0312, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1134, (6.0, 3.0): 0.001, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1266, (19.0, 3.0): 0.0064, (4.0, 3.0): 0.0088, (5.0, 3.0): 0.002, }, {(22.0, 3.0): 0.3404, (1.0, 3.0): 0.3216, (18.0, 3.0): 0.002, (3.0, 3.0): 0.0314, (20.0, 3.0): 0.0308, (15.0, 3.0): 0.0002, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1214, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1326, (19.0, 3.0): 0.0078, (4.0, 3.0): 0.0084, (5.0, 3.0): 0.0018, }, ]
+62 Stop [{(22.0, 3.0): 0.3306, (1.0, 3.0): 0.3392, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0322, (20.0, 3.0): 0.025, (15.0, 3.0): 0.0002, (21.0, 3.0): 0.1312, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.122, (19.0, 3.0): 0.0072, (4.0, 3.0): 0.007, (5.0, 3.0): 0.0022, }, {(22.0, 3.0): 0.3406, (1.0, 3.0): 0.3252, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0324, (20.0, 3.0): 0.0312, (15.0, 3.0): 0.0002, (21.0, 3.0): 0.1206, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1284, (19.0, 3.0): 0.0084, (4.0, 3.0): 0.0078, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.002, }, ]
+63 Stop [{(22.0, 3.0): 0.3352, (7.0, 3.0): 0.0004, (1.0, 3.0): 0.3348, (18.0, 3.0): 0.0016, (3.0, 3.0): 0.031, (20.0, 3.0): 0.0282, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.124, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1268, (19.0, 3.0): 0.007, (4.0, 3.0): 0.0084, (5.0, 3.0): 0.0016, }, {(22.0, 3.0): 0.3388, (7.0, 3.0): 0.0004, (1.0, 3.0): 0.3336, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0304, (20.0, 3.0): 0.0324, (21.0, 3.0): 0.1198, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1186, (19.0, 3.0): 0.0088, (4.0, 3.0): 0.0104, (14.0, 3.0): 0.0004, (5.0, 3.0): 0.0026, }, ]
+64 Stop [{(22.0, 3.0): 0.3348, (1.0, 3.0): 0.3332, (18.0, 3.0): 0.001, (3.0, 3.0): 0.034, (20.0, 3.0): 0.0308, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1214, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1262, (19.0, 3.0): 0.0078, (4.0, 3.0): 0.0072, (5.0, 3.0): 0.002, }, {(22.0, 3.0): 0.3344, (1.0, 3.0): 0.3346, (18.0, 3.0): 0.0022, (3.0, 3.0): 0.031, (20.0, 3.0): 0.0334, (13.0, 3.0): 0.0002, (15.0, 3.0): 0.0002, (21.0, 3.0): 0.124, (6.0, 3.0): 0.0014, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1194, (19.0, 3.0): 0.0084, (4.0, 3.0): 0.0084, (5.0, 3.0): 0.0018, }, ]
+65 Stop [{(22.0, 3.0): 0.3308, (1.0, 3.0): 0.3346, (18.0, 3.0): 0.0014, (3.0, 3.0): 0.0282, (20.0, 3.0): 0.0304, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1258, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1306, (19.0, 3.0): 0.0076, (4.0, 3.0): 0.0072, (5.0, 3.0): 0.0022, }, {(22.0, 3.0): 0.3292, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.322, (18.0, 3.0): 0.0022, (3.0, 3.0): 0.0338, (20.0, 3.0): 0.0338, (16.0, 3.0): 0.0006, (21.0, 3.0): 0.1276, (6.0, 3.0): 0.001, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1322, (19.0, 3.0): 0.0092, (4.0, 3.0): 0.0054, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.002, }, ]
+66 Stop [{(22.0, 3.0): 0.3324, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.337, (18.0, 3.0): 0.0024, (3.0, 3.0): 0.0256, (20.0, 3.0): 0.0326, (21.0, 3.0): 0.1206, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.13, (19.0, 3.0): 0.008, (4.0, 3.0): 0.0088, (5.0, 3.0): 0.0014, }, {(22.0, 3.0): 0.334, (7.0, 3.0): 0.0006, (1.0, 3.0): 0.332, (18.0, 3.0): 0.003, (3.0, 3.0): 0.031, (20.0, 3.0): 0.0372, (15.0, 3.0): 0.0006, (21.0, 3.0): 0.1192, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1234, (19.0, 3.0): 0.0088, (4.0, 3.0): 0.0082, (5.0, 3.0): 0.001, }, ]
+67 Stop [{(22.0, 3.0): 0.3274, (1.0, 3.0): 0.339, (18.0, 3.0): 0.0008, (3.0, 3.0): 0.0314, (20.0, 3.0): 0.0298, (16.0, 3.0): 0.0004, (21.0, 3.0): 0.128, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.1236, (19.0, 3.0): 0.01, (4.0, 3.0): 0.0072, (5.0, 3.0): 0.0018, }, {(22.0, 3.0): 0.325, (7.0, 3.0): 0.0002, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.327, (18.0, 3.0): 0.0016, (3.0, 3.0): 0.0316, (20.0, 3.0): 0.0318, (16.0, 3.0): 0.0004, (21.0, 3.0): 0.1344, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0008, (2.0, 3.0): 0.1294, (19.0, 3.0): 0.0092, (4.0, 3.0): 0.0062, (14.0, 3.0): 0.0002, (5.0, 3.0): 0.0014, }, ]
+68 Stop [{(22.0, 3.0): 0.3294, (1.0, 3.0): 0.3318, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0316, (20.0, 3.0): 0.0338, (21.0, 3.0): 0.1236, (6.0, 3.0): 0.0002, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1296, (19.0, 3.0): 0.0076, (4.0, 3.0): 0.0088, (5.0, 3.0): 0.0014, }, {(22.0, 3.0): 0.3388, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3366, (18.0, 3.0): 0.0028, (3.0, 3.0): 0.0318, (20.0, 3.0): 0.0314, (15.0, 3.0): 0.0004, (21.0, 3.0): 0.1226, (6.0, 3.0): 0.0002, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.119, (19.0, 3.0): 0.0068, (4.0, 3.0): 0.0074, (5.0, 3.0): 0.0014, }, ]
+69 Stop [{(22.0, 3.0): 0.322, (1.0, 3.0): 0.3402, (18.0, 3.0): 0.002, (3.0, 3.0): 0.0304, (20.0, 3.0): 0.0326, (21.0, 3.0): 0.1316, (6.0, 3.0): 0.001, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.1236, (19.0, 3.0): 0.0082, (4.0, 3.0): 0.0068, (5.0, 3.0): 0.0014, }, {(22.0, 3.0): 0.3368, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.3272, (18.0, 3.0): 0.001, (3.0, 3.0): 0.0306, (20.0, 3.0): 0.0304, (16.0, 3.0): 0.0006, (21.0, 3.0): 0.1266, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1272, (19.0, 3.0): 0.0074, (4.0, 3.0): 0.0096, (5.0, 3.0): 0.0014, }, ]
+70 Stop [{(22.0, 3.0): 0.3204, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.333, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0334, (20.0, 3.0): 0.0336, (21.0, 3.0): 0.1328, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1304, (19.0, 3.0): 0.0076, (4.0, 3.0): 0.0046, (5.0, 3.0): 0.0014, }, {(22.0, 3.0): 0.332, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3284, (18.0, 3.0): 0.0028, (3.0, 3.0): 0.039, (20.0, 3.0): 0.0318, (21.0, 3.0): 0.1298, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0008, (2.0, 3.0): 0.1206, (19.0, 3.0): 0.0062, (4.0, 3.0): 0.0068, (5.0, 3.0): 0.0012, }, ]
+71 Stop [{(22.0, 3.0): 0.329, (7.0, 3.0): 0.0002, (8.0, 3.0): 0.0002, (1.0, 3.0): 0.3338, (18.0, 3.0): 0.0028, (3.0, 3.0): 0.03, (20.0, 3.0): 0.0358, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1244, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.1312, (19.0, 3.0): 0.0042, (4.0, 3.0): 0.0066, (5.0, 3.0): 0.0008, }, {(22.0, 3.0): 0.3416, (1.0, 3.0): 0.3274, (18.0, 3.0): 0.0014, (3.0, 3.0): 0.031, (20.0, 3.0): 0.0274, (16.0, 3.0): 0.0004, (21.0, 3.0): 0.1252, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0002, (2.0, 3.0): 0.1276, (19.0, 3.0): 0.0072, (4.0, 3.0): 0.0092, (5.0, 3.0): 0.001, }, ]
+72 Stop [{(22.0, 3.0): 0.3248, (7.0, 3.0): 0.0004, (1.0, 3.0): 0.3374, (18.0, 3.0): 0.0012, (3.0, 3.0): 0.0286, (20.0, 3.0): 0.031, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1308, (6.0, 3.0): 0.0002, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1288, (19.0, 3.0): 0.0082, (4.0, 3.0): 0.0052, (5.0, 3.0): 0.0028, }, {(22.0, 3.0): 0.339, (1.0, 3.0): 0.3304, (18.0, 3.0): 0.002, (3.0, 3.0): 0.0334, (20.0, 3.0): 0.0274, (21.0, 3.0): 0.1288, (17.0, 3.0): 0.001, (2.0, 3.0): 0.1218, (19.0, 3.0): 0.0052, (4.0, 3.0): 0.008, (5.0, 3.0): 0.003, }, ]
+73 Stop [{(22.0, 3.0): 0.3314, (1.0, 3.0): 0.3444, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0294, (20.0, 3.0): 0.0304, (21.0, 3.0): 0.1258, (6.0, 3.0): 0.0014, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.118, (19.0, 3.0): 0.0066, (4.0, 3.0): 0.009, (5.0, 3.0): 0.0012, }, {(22.0, 3.0): 0.3412, (1.0, 3.0): 0.3294, (18.0, 3.0): 0.0026, (3.0, 3.0): 0.0316, (20.0, 3.0): 0.0328, (21.0, 3.0): 0.1208, (6.0, 3.0): 0.0004, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1238, (19.0, 3.0): 0.0056, (4.0, 3.0): 0.0096, (5.0, 3.0): 0.0018, }, ]
+74 Stop [{(22.0, 3.0): 0.332, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3458, (18.0, 3.0): 0.0014, (3.0, 3.0): 0.0304, (20.0, 3.0): 0.031, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1236, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1178, (19.0, 3.0): 0.008, (4.0, 3.0): 0.0064, (5.0, 3.0): 0.0022, }, {(22.0, 3.0): 0.3346, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.327, (18.0, 3.0): 0.0018, (3.0, 3.0): 0.0302, (20.0, 3.0): 0.031, (21.0, 3.0): 0.1284, (6.0, 3.0): 0.0002, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.127, (19.0, 3.0): 0.007, (4.0, 3.0): 0.0094, (5.0, 3.0): 0.0026, }, ]
+75 Stop [{(22.0, 3.0): 0.3322, (1.0, 3.0): 0.3352, (18.0, 3.0): 0.002, (3.0, 3.0): 0.0278, (20.0, 3.0): 0.0294, (21.0, 3.0): 0.1254, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1312, (19.0, 3.0): 0.007, (4.0, 3.0): 0.007, (5.0, 3.0): 0.0016, }, {(22.0, 3.0): 0.3306, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3284, (18.0, 3.0): 0.0032, (3.0, 3.0): 0.033, (20.0, 3.0): 0.0348, (21.0, 3.0): 0.1274, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1258, (19.0, 3.0): 0.007, (4.0, 3.0): 0.006, (5.0, 3.0): 0.0024, }, ]
+76 None [{(22.0, 3.0): 0.3322, (1.0, 3.0): 0.3352, (18.0, 3.0): 0.002, (3.0, 3.0): 0.0278, (20.0, 3.0): 0.0294, (21.0, 3.0): 0.1254, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0006, (2.0, 3.0): 0.1312, (19.0, 3.0): 0.007, (4.0, 3.0): 0.007, (5.0, 3.0): 0.0016, }, {(22.0, 3.0): 0.3306, (7.0, 3.0): 0.0002, (1.0, 3.0): 0.3284, (18.0, 3.0): 0.0032, (3.0, 3.0): 0.033, (20.0, 3.0): 0.0348, (21.0, 3.0): 0.1274, (6.0, 3.0): 0.0008, (17.0, 3.0): 0.0004, (2.0, 3.0): 0.1258, (19.0, 3.0): 0.007, (4.0, 3.0): 0.006, (5.0, 3.0): 0.0024, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q10/1-JointParticlePredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/1-JointParticlePredict.test
new file mode 100644
index 0000000..ebaca91
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/1-JointParticlePredict.test	
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%
+%          GG          %
+%%%%%%%%%%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%%%%%%P%%%
+%%%%%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+maxMoves: "75"
+
+checkUniform: "False"
+numGhosts: "2"
+ghost: "DispersingSeededGhost"
+inference: "MarginalInference"
+L2Tolerance: "0.05"
+errorMsg: "Joint particle filter elapseTime test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q10/2-JointParticlePredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/2-JointParticlePredict.solution
new file mode 100644
index 0000000..acce91c
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/2-JointParticlePredict.solution	
@@ -0,0 +1,40 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.0066, (6, 9): 0.0072, (11, 11): 0.0078, (7, 12): 0.008, (13, 4): 0.0062, (1, 6): 0.0078, (3, 7): 0.0076, (1, 11): 0.0068, (8, 5): 0.0072, (5, 8): 0.0068, (10, 8): 0.0082, (6, 7): 0.0092, (5, 5): 0.0074, (11, 5): 0.0062, (10, 7): 0.0076, (7, 6): 0.0066, (6, 10): 0.0084, (13, 7): 0.008, (8, 15): 0.0082, (4, 10): 0.0072, (5, 11): 0.0084, (4, 5): 0.007, (10, 13): 0.0074, (9, 3): 0.0088, (7, 5): 0.0082, (13, 10): 0.0074, (3, 12): 0.0088, (1, 12): 0.007, (8, 12): 0.0094, (4, 15): 0.0074, (9, 9): 0.0096, (6, 13): 0.008, (11, 15): 0.0096, (7, 8): 0.0086, (13, 13): 0.0072, (3, 11): 0.0062, (1, 15): 0.0058, (8, 9): 0.007, (4, 12): 0.0072, (10, 3): 0.0084, (11, 10): 0.0084, (7, 15): 0.0066, (13, 3): 0.0066, (1, 5): 0.006, (3, 6): 0.0084, (1, 10): 0.009, (8, 6): 0.0086, (10, 9): 0.008, (9, 7): 0.0082, (6, 11): 0.0076, (11, 9): 0.0076, (13, 6): 0.0072, (4, 11): 0.0086, (3, 5): 0.007, (9, 13): 0.0084, (8, 3): 0.008, (5, 10): 0.0068, (4, 6): 0.0082, (10, 10): 0.0066, (5, 7): 0.0076, (11, 3): 0.0066, (13, 9): 0.0076, (3, 15): 0.0092, (1, 3): 0.007, (8, 13): 0.0084, (4, 8): 0.0068, (9, 8): 0.0062, (5, 13): 0.0076, (10, 15): 0.0104, (7, 11): 0.0078, (13, 12): 0.0076, (3, 10): 0.0074, (1, 14): 0.0078, (8, 10): 0.0062, (4, 13): 0.0094, (9, 11): 0.0084, (6, 15): 0.0068, (12, 3): 0.0084, (11, 13): 0.0082, (13, 15): 0.0078, (1, 4): 0.0078, (3, 9): 0.0082, (2, 3): 0.0074, (1, 9): 0.0076, (8, 7): 0.0066, (9, 6): 0.0084, (6, 5): 0.0074, (5, 3): 0.007, (11, 7): 0.007, (10, 5): 0.0084, (6, 8): 0.0088, (11, 8): 0.0074, (7, 13): 0.0074, (13, 5): 0.0066, (1, 7): 0.0098, (9, 12): 0.0066, (5, 9): 0.0088, (4, 7): 0.007, (10, 11): 0.0066, (6, 6): 0.007, (5, 6): 0.0082, (10, 6): 0.0054, (7, 7): 0.0074, (13, 8): 0.0068, (4, 9): 0.007, (3, 3): 0.0074, (9, 15): 0.0092, (5, 12): 0.005, (10, 12): 0.0084, (6, 3): 0.0084, (7, 10): 0.0078, (13, 11): 0.0088, (3, 13): 0.0088, (1, 13): 0.0078, (8, 11): 0.0104, (9, 10): 0.0076, (5, 15): 0.0078, (6, 12): 0.0074, (11, 12): 0.0096, (7, 9): 0.0066, (12, 15): 0.0086, (13, 14): 0.0086, (3, 8): 0.0086, (1, 8): 0.0084, (8, 8): 0.0082, (4, 3): 0.0096, (2, 15): 0.0088, (9, 5): 0.0086, (11, 6): 0.0076, }, {(7, 3): 0.0078, (6, 9): 0.009, (11, 11): 0.0084, (7, 12): 0.009, (13, 4): 0.0066, (1, 6): 0.0072, (3, 7): 0.009, (1, 11): 0.0074, (8, 5): 0.0086, (5, 8): 0.0068, (10, 8): 0.0072, (6, 7): 0.0084, (5, 5): 0.0088, (11, 5): 0.009, (10, 7): 0.0078, (7, 6): 0.0086, (6, 10): 0.0098, (13, 7): 0.0084, (8, 15): 0.0098, (4, 10): 0.0086, (5, 11): 0.007, (4, 5): 0.009, (10, 13): 0.0058, (9, 3): 0.0082, (7, 5): 0.0092, (13, 10): 0.007, (3, 12): 0.0082, (1, 12): 0.0076, (8, 12): 0.0074, (4, 15): 0.0068, (9, 9): 0.0094, (6, 13): 0.0084, (11, 15): 0.0078, (7, 8): 0.006, (13, 13): 0.007, (3, 11): 0.0102, (1, 15): 0.0078, (8, 9): 0.0058, (4, 12): 0.0072, (10, 3): 0.0064, (11, 10): 0.0072, (7, 15): 0.0078, (13, 3): 0.0076, (1, 5): 0.0072, (3, 6): 0.0074, (1, 10): 0.0078, (8, 6): 0.0092, (10, 9): 0.0068, (9, 7): 0.0082, (6, 11): 0.0076, (11, 9): 0.0086, (13, 6): 0.009, (4, 11): 0.0064, (3, 5): 0.0084, (9, 13): 0.0058, (8, 3): 0.008, (5, 10): 0.0078, (4, 6): 0.0076, (10, 10): 0.0074, (5, 7): 0.0078, (11, 3): 0.0076, (13, 9): 0.009, (3, 15): 0.0072, (1, 3): 0.008, (8, 13): 0.0068, (4, 8): 0.0106, (9, 8): 0.0072, (5, 13): 0.0074, (10, 15): 0.008, (7, 11): 0.0068, (13, 12): 0.0076, (3, 10): 0.0096, (1, 14): 0.0092, (8, 10): 0.009, (4, 13): 0.0074, (9, 11): 0.007, (6, 15): 0.0066, (12, 3): 0.007, (11, 13): 0.0082, (13, 15): 0.0064, (1, 4): 0.008, (3, 9): 0.007, (2, 3): 0.0076, (1, 9): 0.0066, (8, 7): 0.0092, (9, 6): 0.0074, (6, 5): 0.0064, (5, 3): 0.0096, (11, 7): 0.0084, (10, 5): 0.0086, (6, 8): 0.0078, (11, 8): 0.008, (7, 13): 0.0078, (13, 5): 0.0072, (1, 7): 0.007, (9, 12): 0.0086, (5, 9): 0.0054, (4, 7): 0.0072, (10, 11): 0.0078, (6, 6): 0.0082, (5, 6): 0.0062, (10, 6): 0.0082, (7, 7): 0.006, (13, 8): 0.0068, (4, 9): 0.0088, (3, 3): 0.0064, (9, 15): 0.0062, (5, 12): 0.0088, (10, 12): 0.0092, (6, 3): 0.0068, (7, 10): 0.008, (13, 11): 0.0078, (3, 13): 0.009, (1, 13): 0.0066, (8, 11): 0.0072, (9, 10): 0.0078, (5, 15): 0.0086, (6, 12): 0.0086, (11, 12): 0.0076, (7, 9): 0.0076, (12, 15): 0.0076, (13, 14): 0.0064, (3, 8): 0.0078, (1, 8): 0.0058, (8, 8): 0.0068, (4, 3): 0.007, (2, 15): 0.0088, (9, 5): 0.0084, (11, 6): 0.0068, }, ]
+1 East [{(7, 3): 0.0066, (6, 9): 0.0072, (11, 11): 0.0078, (7, 12): 0.008, (13, 4): 0.0062, (1, 6): 0.0078, (3, 7): 0.0076, (1, 11): 0.0068, (8, 5): 0.0072, (5, 8): 0.0068, (10, 8): 0.0082, (6, 7): 0.0092, (5, 5): 0.0074, (11, 5): 0.0062, (10, 7): 0.0076, (7, 6): 0.0066, (6, 10): 0.0084, (13, 7): 0.008, (8, 15): 0.0082, (4, 10): 0.0072, (5, 11): 0.0084, (4, 5): 0.007, (10, 13): 0.0074, (9, 3): 0.0088, (7, 5): 0.0082, (13, 10): 0.0074, (3, 12): 0.0088, (1, 12): 0.007, (8, 12): 0.0094, (4, 15): 0.0074, (9, 9): 0.0096, (6, 13): 0.008, (11, 15): 0.0096, (7, 8): 0.0086, (13, 13): 0.0072, (3, 11): 0.0062, (1, 15): 0.0058, (8, 9): 0.007, (4, 12): 0.0072, (10, 3): 0.0084, (11, 10): 0.0084, (7, 15): 0.0066, (13, 3): 0.0066, (1, 5): 0.006, (3, 6): 0.0084, (1, 10): 0.009, (8, 6): 0.0086, (10, 9): 0.008, (9, 7): 0.0082, (6, 11): 0.0076, (11, 9): 0.0076, (13, 6): 0.0072, (4, 11): 0.0086, (3, 5): 0.007, (9, 13): 0.0084, (8, 3): 0.008, (5, 10): 0.0068, (4, 6): 0.0082, (10, 10): 0.0066, (5, 7): 0.0076, (11, 3): 0.0066, (13, 9): 0.0076, (3, 15): 0.0092, (1, 3): 0.007, (8, 13): 0.0084, (4, 8): 0.0068, (9, 8): 0.0062, (5, 13): 0.0076, (10, 15): 0.0104, (7, 11): 0.0078, (13, 12): 0.0076, (3, 10): 0.0074, (1, 14): 0.0078, (8, 10): 0.0062, (4, 13): 0.0094, (9, 11): 0.0084, (6, 15): 0.0068, (12, 3): 0.0084, (11, 13): 0.0082, (13, 15): 0.0078, (1, 4): 0.0078, (3, 9): 0.0082, (2, 3): 0.0074, (1, 9): 0.0076, (8, 7): 0.0066, (9, 6): 0.0084, (6, 5): 0.0074, (5, 3): 0.007, (11, 7): 0.007, (10, 5): 0.0084, (6, 8): 0.0088, (11, 8): 0.0074, (7, 13): 0.0074, (13, 5): 0.0066, (1, 7): 0.0098, (9, 12): 0.0066, (5, 9): 0.0088, (4, 7): 0.007, (10, 11): 0.0066, (6, 6): 0.007, (5, 6): 0.0082, (10, 6): 0.0054, (7, 7): 0.0074, (13, 8): 0.0068, (4, 9): 0.007, (3, 3): 0.0074, (9, 15): 0.0092, (5, 12): 0.005, (10, 12): 0.0084, (6, 3): 0.0084, (7, 10): 0.0078, (13, 11): 0.0088, (3, 13): 0.0088, (1, 13): 0.0078, (8, 11): 0.0104, (9, 10): 0.0076, (5, 15): 0.0078, (6, 12): 0.0074, (11, 12): 0.0096, (7, 9): 0.0066, (12, 15): 0.0086, (13, 14): 0.0086, (3, 8): 0.0086, (1, 8): 0.0084, (8, 8): 0.0082, (4, 3): 0.0096, (2, 15): 0.0088, (9, 5): 0.0086, (11, 6): 0.0076, }, {(7, 3): 0.0078, (6, 9): 0.009, (11, 11): 0.0084, (7, 12): 0.009, (13, 4): 0.0066, (1, 6): 0.0072, (3, 7): 0.009, (1, 11): 0.0074, (8, 5): 0.0086, (5, 8): 0.0068, (10, 8): 0.0072, (6, 7): 0.0084, (5, 5): 0.0088, (11, 5): 0.009, (10, 7): 0.0078, (7, 6): 0.0086, (6, 10): 0.0098, (13, 7): 0.0084, (8, 15): 0.0098, (4, 10): 0.0086, (5, 11): 0.007, (4, 5): 0.009, (10, 13): 0.0058, (9, 3): 0.0082, (7, 5): 0.0092, (13, 10): 0.007, (3, 12): 0.0082, (1, 12): 0.0076, (8, 12): 0.0074, (4, 15): 0.0068, (9, 9): 0.0094, (6, 13): 0.0084, (11, 15): 0.0078, (7, 8): 0.006, (13, 13): 0.007, (3, 11): 0.0102, (1, 15): 0.0078, (8, 9): 0.0058, (4, 12): 0.0072, (10, 3): 0.0064, (11, 10): 0.0072, (7, 15): 0.0078, (13, 3): 0.0076, (1, 5): 0.0072, (3, 6): 0.0074, (1, 10): 0.0078, (8, 6): 0.0092, (10, 9): 0.0068, (9, 7): 0.0082, (6, 11): 0.0076, (11, 9): 0.0086, (13, 6): 0.009, (4, 11): 0.0064, (3, 5): 0.0084, (9, 13): 0.0058, (8, 3): 0.008, (5, 10): 0.0078, (4, 6): 0.0076, (10, 10): 0.0074, (5, 7): 0.0078, (11, 3): 0.0076, (13, 9): 0.009, (3, 15): 0.0072, (1, 3): 0.008, (8, 13): 0.0068, (4, 8): 0.0106, (9, 8): 0.0072, (5, 13): 0.0074, (10, 15): 0.008, (7, 11): 0.0068, (13, 12): 0.0076, (3, 10): 0.0096, (1, 14): 0.0092, (8, 10): 0.009, (4, 13): 0.0074, (9, 11): 0.007, (6, 15): 0.0066, (12, 3): 0.007, (11, 13): 0.0082, (13, 15): 0.0064, (1, 4): 0.008, (3, 9): 0.007, (2, 3): 0.0076, (1, 9): 0.0066, (8, 7): 0.0092, (9, 6): 0.0074, (6, 5): 0.0064, (5, 3): 0.0096, (11, 7): 0.0084, (10, 5): 0.0086, (6, 8): 0.0078, (11, 8): 0.008, (7, 13): 0.0078, (13, 5): 0.0072, (1, 7): 0.007, (9, 12): 0.0086, (5, 9): 0.0054, (4, 7): 0.0072, (10, 11): 0.0078, (6, 6): 0.0082, (5, 6): 0.0062, (10, 6): 0.0082, (7, 7): 0.006, (13, 8): 0.0068, (4, 9): 0.0088, (3, 3): 0.0064, (9, 15): 0.0062, (5, 12): 0.0088, (10, 12): 0.0092, (6, 3): 0.0068, (7, 10): 0.008, (13, 11): 0.0078, (3, 13): 0.009, (1, 13): 0.0066, (8, 11): 0.0072, (9, 10): 0.0078, (5, 15): 0.0086, (6, 12): 0.0086, (11, 12): 0.0076, (7, 9): 0.0076, (12, 15): 0.0076, (13, 14): 0.0064, (3, 8): 0.0078, (1, 8): 0.0058, (8, 8): 0.0068, (4, 3): 0.007, (2, 15): 0.0088, (9, 5): 0.0084, (11, 6): 0.0068, }, ]
+2 Stop [{(7.0, 3.0): 0.007, (6.0, 9.0): 0.0084, (11.0, 11.0): 0.0066, (7.0, 12.0): 0.0078, (13.0, 4.0): 0.008, (1.0, 6.0): 0.0088, (3.0, 7.0): 0.006, (1.0, 11.0): 0.0086, (8.0, 5.0): 0.007, (5.0, 8.0): 0.0062, (10.0, 8.0): 0.0056, (6.0, 7.0): 0.0058, (5.0, 5.0): 0.0072, (11.0, 5.0): 0.0116, (10.0, 7.0): 0.007, (7.0, 6.0): 0.0066, (6.0, 10.0): 0.0066, (13.0, 7.0): 0.0072, (1, 1): 0.0194, (8.0, 15.0): 0.0082, (4.0, 10.0): 0.0082, (5.0, 11.0): 0.0054, (4.0, 5.0): 0.0084, (10.0, 13.0): 0.0074, (9.0, 3.0): 0.007, (7.0, 5.0): 0.0066, (13.0, 10.0): 0.0084, (3.0, 12.0): 0.0086, (1.0, 12.0): 0.0056, (8.0, 12.0): 0.0078, (4.0, 15.0): 0.0066, (9.0, 9.0): 0.0054, (6.0, 13.0): 0.0072, (11.0, 15.0): 0.0106, (7.0, 8.0): 0.0042, (13.0, 13.0): 0.0072, (3.0, 11.0): 0.008, (1.0, 15.0): 0.0128, (8.0, 9.0): 0.0044, (4.0, 12.0): 0.0084, (10.0, 3.0): 0.0074, (11.0, 10.0): 0.0078, (7.0, 15.0): 0.005, (13.0, 3.0): 0.0126, (1.0, 5.0): 0.0076, (3.0, 6.0): 0.011, (1.0, 10.0): 0.0076, (8.0, 6.0): 0.0054, (10.0, 9.0): 0.0076, (9.0, 7.0): 0.0068, (6.0, 11.0): 0.0092, (11.0, 9.0): 0.0072, (13.0, 6.0): 0.0066, (4.0, 11.0): 0.0062, (3.0, 5.0): 0.0108, (9.0, 13.0): 0.0086, (8.0, 3.0): 0.0084, (5.0, 10.0): 0.0076, (4.0, 6.0): 0.009, (10.0, 10.0): 0.0084, (5.0, 7.0): 0.0052, (11.0, 3.0): 0.007, (13.0, 9.0): 0.0062, (3.0, 15.0): 0.0096, (1.0, 3.0): 0.014, (8.0, 13.0): 0.0078, (4.0, 8.0): 0.009, (9.0, 8.0): 0.006, (5.0, 13.0): 0.0076, (10.0, 15.0): 0.008, (7.0, 11.0): 0.0078, (13.0, 12.0): 0.0062, (3.0, 10.0): 0.0068, (1.0, 14.0): 0.0082, (8.0, 10.0): 0.0048, (4.0, 13.0): 0.009, (9.0, 11.0): 0.0066, (6.0, 15.0): 0.0074, (12.0, 3.0): 0.0062, (11.0, 13.0): 0.0116, (13.0, 15.0): 0.0146, (1.0, 4.0): 0.0052, (3.0, 9.0): 0.008, (2.0, 3.0): 0.0068, (1.0, 9.0): 0.0054, (8.0, 7.0): 0.0092, (9.0, 6.0): 0.0062, (6.0, 5.0): 0.0076, (5.0, 3.0): 0.0082, (11.0, 7.0): 0.008, (10.0, 5.0): 0.008, (6.0, 8.0): 0.009, (11.0, 8.0): 0.007, (7.0, 13.0): 0.0086, (13.0, 5.0): 0.0052, (1.0, 7.0): 0.0088, (9.0, 12.0): 0.0094, (5.0, 9.0): 0.006, (4.0, 7.0): 0.0066, (10.0, 11.0): 0.006, (6.0, 6.0): 0.008, (5.0, 6.0): 0.0058, (10.0, 6.0): 0.0084, (7.0, 7.0): 0.0096, (13.0, 8.0): 0.0066, (4.0, 9.0): 0.0078, (3.0, 3.0): 0.0094, (9.0, 15.0): 0.008, (5.0, 12.0): 0.008, (10.0, 12.0): 0.0092, (6.0, 3.0): 0.0056, (7.0, 10.0): 0.0058, (13.0, 11.0): 0.0084, (3.0, 13.0): 0.012, (1.0, 13.0): 0.0072, (8.0, 11.0): 0.0058, (9.0, 10.0): 0.005, (5.0, 15.0): 0.0056, (6.0, 12.0): 0.006, (11.0, 12.0): 0.011, (7.0, 9.0): 0.0046, (12.0, 15.0): 0.008, (13.0, 14.0): 0.0078, (3.0, 8.0): 0.0084, (1.0, 8.0): 0.007, (8.0, 8.0): 0.0038, (4.0, 3.0): 0.0052, (2.0, 15.0): 0.0072, (9.0, 5.0): 0.0106, (11.0, 6.0): 0.0068, }, {(7.0, 3.0): 0.008, (6.0, 9.0): 0.0066, (11.0, 11.0): 0.007, (7.0, 12.0): 0.0068, (13.0, 4.0): 0.0066, (1.0, 6.0): 0.0062, (3.0, 7.0): 0.0072, (1.0, 11.0): 0.008, (8.0, 5.0): 0.0096, (5.0, 8.0): 0.0054, (10.0, 8.0): 0.0064, (6.0, 7.0): 0.0086, (5.0, 5.0): 0.009, (11.0, 5.0): 0.0136, (10.0, 7.0): 0.0096, (7.0, 6.0): 0.006, (6.0, 10.0): 0.0052, (13.0, 7.0): 0.007, (8.0, 15.0): 0.0078, (4.0, 10.0): 0.0088, (5.0, 11.0): 0.0054, (4.0, 5.0): 0.0086, (10.0, 13.0): 0.007, (9.0, 3.0): 0.0058, (7.0, 5.0): 0.0078, (13.0, 10.0): 0.0082, (3.0, 12.0): 0.0098, (1.0, 12.0): 0.005, (8.0, 12.0): 0.0078, (4.0, 15.0): 0.007, (3, 1): 0.017, (9.0, 9.0): 0.0044, (6.0, 13.0): 0.0102, (11.0, 15.0): 0.0076, (7.0, 8.0): 0.008, (13.0, 13.0): 0.006, (3.0, 11.0): 0.0088, (1.0, 15.0): 0.0156, (8.0, 9.0): 0.0044, (4.0, 12.0): 0.0072, (10.0, 3.0): 0.0058, (11.0, 10.0): 0.008, (7.0, 15.0): 0.0068, (13.0, 3.0): 0.013, (1.0, 5.0): 0.0062, (3.0, 6.0): 0.0092, (1.0, 10.0): 0.0076, (8.0, 6.0): 0.0068, (10.0, 9.0): 0.0082, (9.0, 7.0): 0.0072, (6.0, 11.0): 0.0078, (11.0, 9.0): 0.0098, (13.0, 6.0): 0.0078, (4.0, 11.0): 0.0074, (3.0, 5.0): 0.0122, (9.0, 13.0): 0.0082, (8.0, 3.0): 0.0082, (5.0, 10.0): 0.0066, (4.0, 6.0): 0.0052, (10.0, 10.0): 0.0082, (5.0, 7.0): 0.0064, (11.0, 3.0): 0.0056, (13.0, 9.0): 0.0074, (3.0, 15.0): 0.0062, (1.0, 3.0): 0.0136, (8.0, 13.0): 0.0068, (4.0, 8.0): 0.007, (9.0, 8.0): 0.0058, (5.0, 13.0): 0.0096, (10.0, 15.0): 0.0062, (7.0, 11.0): 0.0056, (13.0, 12.0): 0.007, (3.0, 10.0): 0.008, (1.0, 14.0): 0.0078, (8.0, 10.0): 0.0032, (4.0, 13.0): 0.0094, (9.0, 11.0): 0.006, (6.0, 15.0): 0.0066, (12.0, 3.0): 0.008, (11.0, 13.0): 0.0112, (13.0, 15.0): 0.0106, (1.0, 4.0): 0.0082, (3.0, 9.0): 0.0076, (2.0, 3.0): 0.0066, (1.0, 9.0): 0.0068, (8.0, 7.0): 0.006, (9.0, 6.0): 0.007, (6.0, 5.0): 0.0096, (5.0, 3.0): 0.0064, (11.0, 7.0): 0.0078, (10.0, 5.0): 0.0088, (6.0, 8.0): 0.0074, (11.0, 8.0): 0.0078, (7.0, 13.0): 0.008, (13.0, 5.0): 0.0084, (1.0, 7.0): 0.006, (9.0, 12.0): 0.0078, (5.0, 9.0): 0.0086, (4.0, 7.0): 0.0094, (10.0, 11.0): 0.0076, (6.0, 6.0): 0.0086, (5.0, 6.0): 0.007, (10.0, 6.0): 0.0084, (7.0, 7.0): 0.0062, (13.0, 8.0): 0.0074, (4.0, 9.0): 0.009, (3.0, 3.0): 0.0064, (9.0, 15.0): 0.0086, (5.0, 12.0): 0.0072, (10.0, 12.0): 0.0076, (6.0, 3.0): 0.0086, (7.0, 10.0): 0.0078, (13.0, 11.0): 0.0064, (3.0, 13.0): 0.0108, (1.0, 13.0): 0.0084, (8.0, 11.0): 0.0058, (9.0, 10.0): 0.0072, (5.0, 15.0): 0.0068, (6.0, 12.0): 0.0086, (11.0, 12.0): 0.009, (7.0, 9.0): 0.0052, (12.0, 15.0): 0.0086, (13.0, 14.0): 0.0056, (3.0, 8.0): 0.0098, (1.0, 8.0): 0.005, (8.0, 8.0): 0.003, (4.0, 3.0): 0.0064, (2.0, 15.0): 0.0068, (9.0, 5.0): 0.0066, (11.0, 6.0): 0.0082, }, ]
+3 South [{(7.0, 3.0): 0.0072, (6.0, 9.0): 0.005, (11.0, 11.0): 0.0078, (7.0, 12.0): 0.006, (13.0, 4.0): 0.0054, (1.0, 6.0): 0.007, (3.0, 7.0): 0.0074, (1.0, 11.0): 0.0074, (8.0, 5.0): 0.007, (5.0, 8.0): 0.006, (10.0, 8.0): 0.0072, (6.0, 7.0): 0.0058, (5.0, 5.0): 0.006, (11.0, 5.0): 0.0148, (10.0, 7.0): 0.0058, (7.0, 6.0): 0.0078, (6.0, 10.0): 0.0074, (13.0, 7.0): 0.006, (1.0, 1.0): 0.031, (8.0, 15.0): 0.007, (4.0, 10.0): 0.008, (5.0, 11.0): 0.0094, (4.0, 5.0): 0.0074, (10.0, 13.0): 0.0102, (9.0, 3.0): 0.0074, (7.0, 5.0): 0.0074, (13.0, 10.0): 0.0066, (3.0, 12.0): 0.01, (1.0, 12.0): 0.0074, (8.0, 12.0): 0.006, (4.0, 15.0): 0.0048, (9.0, 9.0): 0.003, (6.0, 13.0): 0.0066, (11.0, 15.0): 0.0092, (7.0, 8.0): 0.0054, (13.0, 13.0): 0.0052, (3.0, 11.0): 0.0066, (1.0, 15.0): 0.0176, (8.0, 9.0): 0.0026, (4.0, 12.0): 0.0084, (10.0, 3.0): 0.0064, (11.0, 10.0): 0.0072, (7.0, 15.0): 0.005, (13.0, 3.0): 0.0166, (1.0, 5.0): 0.007, (3.0, 6.0): 0.0106, (1.0, 10.0): 0.006, (8.0, 6.0): 0.0078, (10.0, 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3.0): 0.0148, (8.0, 13.0): 0.0066, (4.0, 8.0): 0.0082, (9.0, 8.0): 0.0048, (5.0, 13.0): 0.0078, (10.0, 15.0): 0.006, (7.0, 11.0): 0.0074, (13.0, 12.0): 0.0068, (3.0, 10.0): 0.008, (1.0, 14.0): 0.0082, (8.0, 10.0): 0.004, (4.0, 13.0): 0.0134, (9.0, 11.0): 0.0078, (6.0, 15.0): 0.0052, (12.0, 3.0): 0.0054, (11.0, 13.0): 0.0148, (13.0, 15.0): 0.016, (1.0, 4.0): 0.009, (3.0, 9.0): 0.0094, (2.0, 3.0): 0.009, (1.0, 9.0): 0.006, (8.0, 7.0): 0.0054, (9.0, 6.0): 0.0072, (6.0, 5.0): 0.0074, (5.0, 3.0): 0.0062, (11.0, 7.0): 0.01, (10.0, 5.0): 0.0076, (6.0, 8.0): 0.0054, (11.0, 8.0): 0.0078, (7.0, 13.0): 0.0102, (13.0, 5.0): 0.0074, (1.0, 7.0): 0.0048, (9.0, 12.0): 0.0076, (5.0, 9.0): 0.0062, (4.0, 7.0): 0.0074, (10.0, 11.0): 0.0062, (6.0, 6.0): 0.0064, (5.0, 6.0): 0.0058, (10.0, 6.0): 0.006, (7.0, 7.0): 0.0052, (13.0, 8.0): 0.007, (4.0, 9.0): 0.0076, (3.0, 3.0): 0.0062, (9.0, 15.0): 0.0052, (5.0, 12.0): 0.0076, (10.0, 12.0): 0.0062, (6.0, 3.0): 0.0064, (7.0, 10.0): 0.0044, (13.0, 11.0): 0.0054, (3.0, 13.0): 0.0138, (1.0, 13.0): 0.0068, (8.0, 11.0): 0.0044, (9.0, 10.0): 0.0062, (5.0, 15.0): 0.0062, (6.0, 12.0): 0.0076, (11.0, 12.0): 0.0092, (7.0, 9.0): 0.0038, (12.0, 15.0): 0.0088, (13.0, 14.0): 0.005, (3.0, 8.0): 0.0098, (1.0, 8.0): 0.0046, (8.0, 8.0): 0.0034, (4.0, 3.0): 0.0056, (2.0, 15.0): 0.0084, (9.0, 5.0): 0.0084, (11.0, 6.0): 0.0084, }, ]
+4 West [{(7.0, 3.0): 0.0052, (6.0, 9.0): 0.005, (11.0, 11.0): 0.0078, (7.0, 12.0): 0.006, (13.0, 4.0): 0.009, (1.0, 6.0): 0.0066, (3.0, 7.0): 0.007, (1.0, 11.0): 0.0058, (8.0, 5.0): 0.009, (5.0, 8.0): 0.006, (10.0, 8.0): 0.0034, (6.0, 7.0): 0.005, (5.0, 5.0): 0.008, (11.0, 5.0): 0.0202, (10.0, 7.0): 0.008, (7.0, 6.0): 0.0062, (6.0, 10.0): 0.0046, (13.0, 7.0): 0.0054, (1, 1): 0.041, (8.0, 15.0): 0.0046, (4.0, 10.0): 0.0066, (5.0, 11.0): 0.0044, (4.0, 5.0): 0.008, (10.0, 13.0): 0.0082, (9.0, 3.0): 0.0054, (7.0, 5.0): 0.0076, (13.0, 10.0): 0.0068, (3.0, 12.0): 0.0102, (1.0, 12.0): 0.0076, (8.0, 12.0): 0.0064, (4.0, 15.0): 0.006, (9.0, 9.0): 0.004, (6.0, 13.0): 0.0106, (11.0, 15.0): 0.0082, (7.0, 8.0): 0.0024, (13.0, 13.0): 0.0062, (3.0, 11.0): 0.0084, (1.0, 15.0): 0.021, (8.0, 9.0): 0.0012, (4.0, 12.0): 0.007, (10.0, 3.0): 0.0054, (11.0, 10.0): 0.0066, (7.0, 15.0): 0.0062, (13.0, 3.0): 0.0182, (1.0, 5.0): 0.0078, (3.0, 6.0): 0.0098, (1.0, 10.0): 0.0048, (8.0, 6.0): 0.0072, (10.0, 9.0): 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+5 East [{(7.0, 3.0): 0.0052, (6.0, 9.0): 0.005, (11.0, 11.0): 0.0074, (7.0, 12.0): 0.0056, (13.0, 4.0): 0.008, (1.0, 6.0): 0.0072, (3.0, 7.0): 0.0074, (1.0, 11.0): 0.0068, (8.0, 5.0): 0.0066, (5.0, 8.0): 0.0046, (10.0, 8.0): 0.006, (6.0, 7.0): 0.0034, (5.0, 5.0): 0.006, (11.0, 5.0): 0.0218, (10.0, 7.0): 0.0046, (7.0, 6.0): 0.0058, (6.0, 10.0): 0.0066, (13.0, 7.0): 0.004, (1.0, 1.0): 0.0488, (8.0, 15.0): 0.005, (4.0, 10.0): 0.0044, (5.0, 11.0): 0.0074, (4.0, 5.0): 0.01, (10.0, 13.0): 0.0136, (9.0, 3.0): 0.0056, (7.0, 5.0): 0.0078, (13.0, 10.0): 0.0054, (3.0, 12.0): 0.0102, (1.0, 12.0): 0.0058, (8.0, 12.0): 0.0068, (4.0, 15.0): 0.0058, (9.0, 9.0): 0.002, (6.0, 13.0): 0.0072, (11.0, 15.0): 0.0072, (7.0, 8.0): 0.002, (13.0, 13.0): 0.0074, (3.0, 11.0): 0.0084, (1.0, 15.0): 0.0256, (8.0, 9.0): 0.0028, (4.0, 12.0): 0.008, (10.0, 3.0): 0.0048, (11.0, 10.0): 0.0092, (7.0, 15.0): 0.004, (13.0, 3.0): 0.0218, (1.0, 5.0): 0.0068, (3.0, 6.0): 0.0124, (1.0, 10.0): 0.0034, (8.0, 6.0): 0.0056, (10.0, 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+11 North [{(7.0, 3.0): 0.0012, (6.0, 9.0): 0.002, (11.0, 11.0): 0.0068, (7.0, 12.0): 0.004, (13.0, 4.0): 0.0124, (1.0, 6.0): 0.0026, (3.0, 7.0): 0.0066, (1.0, 11.0): 0.0034, (8.0, 5.0): 0.004, (5.0, 8.0): 0.0022, (10.0, 8.0): 0.004, (6.0, 7.0): 0.0008, (5.0, 5.0): 0.0076, (11.0, 5.0): 0.0432, (10.0, 7.0): 0.0036, (7.0, 6.0): 0.0014, (6.0, 10.0): 0.002, (13.0, 7.0): 0.0032, (1.0, 1.0): 0.0848, (8.0, 15.0): 0.0032, (4.0, 10.0): 0.004, (5.0, 11.0): 0.0028, (4.0, 5.0): 0.0164, (10.0, 13.0): 0.0156, (9.0, 3.0): 0.003, (7.0, 5.0): 0.0038, (13.0, 10.0): 0.0042, (3.0, 12.0): 0.0134, (1.0, 12.0): 0.0038, (8.0, 12.0): 0.0034, (4.0, 15.0): 0.0048, (9.0, 9.0): 0.001, (6.0, 13.0): 0.0064, (11.0, 15.0): 0.0068, (7.0, 8.0): 0.001, (13.0, 13.0): 0.0054, (3.0, 11.0): 0.0084, (1.0, 15.0): 0.034, (8.0, 9.0): 0.002, (4.0, 12.0): 0.0094, (10.0, 3.0): 0.0032, (11.0, 10.0): 0.0056, (7.0, 15.0): 0.0024, (13.0, 3.0): 0.037, (1.0, 5.0): 0.0048, (3.0, 6.0): 0.0132, (1.0, 10.0): 0.004, (8.0, 6.0): 0.0018, (10.0, 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+16 South [{(7.0, 3.0): 0.0012, (6.0, 9.0): 0.0016, (11.0, 11.0): 0.0046, (7.0, 12.0): 0.002, (13.0, 4.0): 0.0122, (1.0, 6.0): 0.004, (3.0, 7.0): 0.006, (1.0, 11.0): 0.0018, (8.0, 5.0): 0.003, (5.0, 8.0): 0.0012, (10.0, 8.0): 0.0012, (6.0, 7.0): 0.0014, (5.0, 5.0): 0.0046, (11.0, 5.0): 0.0478, (10.0, 7.0): 0.0016, (7.0, 6.0): 0.0016, (6.0, 10.0): 0.0014, (13.0, 7.0): 0.0014, (1.0, 1.0): 0.0964, (8.0, 15.0): 0.0032, (4.0, 10.0): 0.0032, (5.0, 11.0): 0.0012, (4.0, 5.0): 0.0152, (10.0, 13.0): 0.0166, (9.0, 3.0): 0.002, (7.0, 5.0): 0.003, (13.0, 10.0): 0.0008, (3.0, 12.0): 0.0206, (1.0, 12.0): 0.004, (8.0, 12.0): 0.0042, (4.0, 15.0): 0.003, (9.0, 9.0): 0.0004, (6.0, 13.0): 0.0034, (11.0, 15.0): 0.0036, (13.0, 13.0): 0.0058, (3.0, 11.0): 0.0062, (1.0, 15.0): 0.0396, (8.0, 9.0): 0.0004, (4.0, 12.0): 0.0078, (10.0, 3.0): 0.0026, (11.0, 10.0): 0.0038, (7.0, 15.0): 0.0022, (13.0, 3.0): 0.0424, (1.0, 5.0): 0.0048, (3.0, 6.0): 0.0154, (1.0, 10.0): 0.0016, (8.0, 6.0): 0.0014, (10.0, 9.0): 0.0022, 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+17 West [{(7.0, 3.0): 0.0016, (6.0, 9.0): 0.0006, (11.0, 11.0): 0.0058, (7.0, 12.0): 0.0026, (13.0, 4.0): 0.013, (1.0, 6.0): 0.0024, (3.0, 7.0): 0.008, (1.0, 11.0): 0.0018, (8.0, 5.0): 0.0032, (5.0, 8.0): 0.0018, (10.0, 8.0): 0.001, (6.0, 7.0): 0.0006, (5.0, 5.0): 0.0052, (11.0, 5.0): 0.0518, (10.0, 7.0): 0.0024, (7.0, 6.0): 0.0016, (6.0, 10.0): 0.0014, (13.0, 7.0): 0.0018, (1.0, 1.0): 0.0978, (8.0, 15.0): 0.002, (4.0, 10.0): 0.0028, (5.0, 11.0): 0.003, (4.0, 5.0): 0.012, (10.0, 13.0): 0.0198, (9.0, 3.0): 0.0018, (7.0, 5.0): 0.0024, (13.0, 10.0): 0.0014, (3.0, 12.0): 0.0174, (1.0, 12.0): 0.0036, (8.0, 12.0): 0.0024, (4.0, 15.0): 0.0028, (9.0, 9.0): 0.0006, (6.0, 13.0): 0.0046, (11.0, 15.0): 0.0052, (7.0, 8.0): 0.0006, (13.0, 13.0): 0.008, (3.0, 11.0): 0.0078, (1.0, 15.0): 0.0392, (4.0, 12.0): 0.0074, (10.0, 3.0): 0.0022, (11.0, 10.0): 0.0026, (7.0, 15.0): 0.0022, (13.0, 3.0): 0.0442, (1.0, 5.0): 0.0064, (3.0, 6.0): 0.019, (1.0, 10.0): 0.0012, (8.0, 6.0): 0.0014, (10.0, 9.0): 0.0004, 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+18 East [{(7.0, 3.0): 0.002, (6.0, 9.0): 0.0004, (11.0, 11.0): 0.0042, (7.0, 12.0): 0.0016, (13.0, 4.0): 0.012, (1.0, 6.0): 0.0026, (3.0, 7.0): 0.007, (1.0, 11.0): 0.0018, (8.0, 5.0): 0.002, (5.0, 8.0): 0.0016, (10.0, 8.0): 0.0008, (6.0, 7.0): 0.0006, (5.0, 5.0): 0.0046, (11.0, 5.0): 0.0554, (10.0, 7.0): 0.0026, (7.0, 6.0): 0.0006, (6.0, 10.0): 0.0012, (13.0, 7.0): 0.002, (1.0, 1.0): 0.0992, (8.0, 15.0): 0.003, (4.0, 10.0): 0.0012, (5.0, 11.0): 0.0028, (4.0, 5.0): 0.016, (10.0, 13.0): 0.017, (9.0, 3.0): 0.0006, (7.0, 5.0): 0.0026, (13.0, 10.0): 0.0014, (3.0, 12.0): 0.0182, (1.0, 12.0): 0.0024, (8.0, 12.0): 0.0026, (4.0, 15.0): 0.0028, (6.0, 13.0): 0.0028, (11.0, 15.0): 0.0046, (7.0, 8.0): 0.0006, (13.0, 13.0): 0.0048, (3.0, 11.0): 0.005, (1.0, 15.0): 0.0418, (4.0, 12.0): 0.0092, (10.0, 3.0): 0.003, (11.0, 10.0): 0.0024, (7.0, 15.0): 0.002, (13.0, 3.0): 0.041, (1.0, 5.0): 0.0052, (3.0, 6.0): 0.0168, (1.0, 10.0): 0.001, (8.0, 6.0): 0.001, (10.0, 9.0): 0.0006, (9.0, 7.0): 0.0006, (6.0, 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+19 North [{(7.0, 3.0): 0.0012, (6.0, 9.0): 0.001, (11.0, 11.0): 0.0066, (7.0, 12.0): 0.0022, (13.0, 4.0): 0.0118, (1.0, 6.0): 0.0024, (3.0, 7.0): 0.006, (1.0, 11.0): 0.0016, (8.0, 5.0): 0.0016, (5.0, 8.0): 0.0008, (10.0, 8.0): 0.0008, (6.0, 7.0): 0.001, (5.0, 5.0): 0.0062, (11.0, 5.0): 0.0524, (10.0, 7.0): 0.002, (7.0, 6.0): 0.0018, (6.0, 10.0): 0.0004, (13.0, 7.0): 0.0012, (1.0, 1.0): 0.0996, (8.0, 15.0): 0.0016, (4.0, 10.0): 0.0018, (5.0, 11.0): 0.0026, (4.0, 5.0): 0.017, (10.0, 13.0): 0.0198, (9.0, 3.0): 0.0016, (7.0, 5.0): 0.002, (13.0, 10.0): 0.0012, (3.0, 12.0): 0.017, (1.0, 12.0): 0.0018, (8.0, 12.0): 0.001, (4.0, 15.0): 0.004, (9.0, 9.0): 0.0004, (6.0, 13.0): 0.0046, (11.0, 15.0): 0.005, (13.0, 13.0): 0.0054, (3.0, 11.0): 0.0066, (1.0, 15.0): 0.04, (4.0, 12.0): 0.0078, (10.0, 3.0): 0.0018, (11.0, 10.0): 0.002, (7.0, 15.0): 0.0014, (13.0, 3.0): 0.042, (1.0, 5.0): 0.0052, (3.0, 6.0): 0.016, (1.0, 10.0): 0.0014, (8.0, 6.0): 0.0012, (10.0, 9.0): 0.0008, (9.0, 7.0): 0.001, (6.0, 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+28 North [{(7.0, 3.0): 0.0004, (6.0, 9.0): 0.0002, (11.0, 11.0): 0.0042, (7.0, 12.0): 0.0008, (13.0, 4.0): 0.0166, (1.0, 6.0): 0.0008, (3.0, 7.0): 0.0042, (1.0, 11.0): 0.0014, (8.0, 5.0): 0.0012, (5.0, 8.0): 0.0008, (10.0, 8.0): 0.0006, (6.0, 7.0): 0.0004, (5.0, 5.0): 0.0044, (11.0, 5.0): 0.0592, (10.0, 7.0): 0.0018, (7.0, 6.0): 0.0016, (6.0, 10.0): 0.0006, (13.0, 7.0): 0.001, (1.0, 1.0): 0.1082, (8.0, 15.0): 0.0016, (4.0, 10.0): 0.0016, (5.0, 11.0): 0.0014, (4.0, 5.0): 0.0192, (10.0, 13.0): 0.0186, (9.0, 3.0): 0.0012, (7.0, 5.0): 0.001, (13.0, 10.0): 0.0008, (3.0, 12.0): 0.0182, (1.0, 12.0): 0.0028, (8.0, 12.0): 0.0004, (4.0, 15.0): 0.0032, (9.0, 9.0): 0.0006, (6.0, 13.0): 0.0018, (11.0, 15.0): 0.0074, (13.0, 13.0): 0.005, (3.0, 11.0): 0.004, (1.0, 15.0): 0.046, (8.0, 9.0): 0.0004, (4.0, 12.0): 0.0062, (10.0, 3.0): 0.0012, (11.0, 10.0): 0.0006, (7.0, 15.0): 0.0014, (13.0, 3.0): 0.0448, (1.0, 5.0): 0.0034, (3.0, 6.0): 0.015, (1.0, 10.0): 0.0014, (8.0, 6.0): 0.0004, (10.0, 9.0): 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+29 East [{(7.0, 3.0): 0.0004, (6.0, 9.0): 0.0002, (11.0, 11.0): 0.0034, (7.0, 12.0): 0.0008, (13.0, 4.0): 0.0124, (1.0, 6.0): 0.0026, (3.0, 7.0): 0.004, (1.0, 11.0): 0.0018, (8.0, 5.0): 0.0012, (5.0, 8.0): 0.0004, (10.0, 8.0): 0.0006, (6.0, 7.0): 0.0006, (5.0, 5.0): 0.0028, (11.0, 5.0): 0.0596, (10.0, 7.0): 0.0024, (7.0, 6.0): 0.0012, (6.0, 10.0): 0.0002, (13.0, 7.0): 0.0006, (1.0, 1.0): 0.1112, (8.0, 15.0): 0.0014, (4.0, 10.0): 0.0014, (5.0, 11.0): 0.0006, (4.0, 5.0): 0.0188, (10.0, 13.0): 0.0182, (9.0, 3.0): 0.001, (7.0, 5.0): 0.0012, (13.0, 10.0): 0.0006, (3.0, 12.0): 0.0162, (1.0, 12.0): 0.0028, (8.0, 12.0): 0.0004, (4.0, 15.0): 0.003, (9.0, 9.0): 0.0002, (6.0, 13.0): 0.0018, (11.0, 15.0): 0.0042, (7.0, 8.0): 0.0004, (13.0, 13.0): 0.005, (3.0, 11.0): 0.0054, (1.0, 15.0): 0.0454, (8.0, 9.0): 0.0004, (4.0, 12.0): 0.006, (10.0, 3.0): 0.002, (11.0, 10.0): 0.0008, (7.0, 15.0): 0.0018, (13.0, 3.0): 0.0456, (1.0, 5.0): 0.0024, (3.0, 6.0): 0.0168, (1.0, 10.0): 0.0012, (8.0, 6.0): 0.0006, 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+30 East [{(7.0, 3.0): 0.0008, (6.0, 9.0): 0.0002, (11.0, 11.0): 0.002, (13.0, 4.0): 0.0144, (1.0, 6.0): 0.0016, (3.0, 7.0): 0.0032, (1.0, 11.0): 0.0018, (8.0, 5.0): 0.0012, (5.0, 8.0): 0.0004, (10.0, 8.0): 0.0002, (6.0, 7.0): 0.0002, (5.0, 5.0): 0.0038, (11.0, 5.0): 0.0608, (10.0, 7.0): 0.0024, (7.0, 6.0): 0.001, (6.0, 10.0): 0.0008, (13.0, 7.0): 0.001, (1.0, 1.0): 0.1132, (8.0, 15.0): 0.0014, (4.0, 10.0): 0.001, (5.0, 11.0): 0.0014, (4.0, 5.0): 0.0182, (10.0, 13.0): 0.0184, (9.0, 3.0): 0.0012, (7.0, 5.0): 0.001, (13.0, 10.0): 0.0016, (3.0, 12.0): 0.0214, (1.0, 12.0): 0.002, (4.0, 15.0): 0.0022, (9.0, 9.0): 0.0008, (6.0, 13.0): 0.0014, (11.0, 15.0): 0.0062, (7.0, 8.0): 0.0002, (13.0, 13.0): 0.0044, (3.0, 11.0): 0.0044, (1.0, 15.0): 0.0452, (8.0, 9.0): 0.0002, (4.0, 12.0): 0.0066, (10.0, 3.0): 0.0008, (11.0, 10.0): 0.0012, (7.0, 15.0): 0.0018, (13.0, 3.0): 0.0502, (1.0, 5.0): 0.0036, (3.0, 6.0): 0.0174, (1.0, 10.0): 0.001, (8.0, 6.0): 0.001, (9.0, 7.0): 0.0004, (6.0, 11.0): 0.0006, 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+31 East [{(7.0, 3.0): 0.0004, (11.0, 11.0): 0.0056, (7.0, 12.0): 0.001, (13.0, 4.0): 0.0128, (1.0, 6.0): 0.0024, (3.0, 7.0): 0.004, (1.0, 11.0): 0.0012, (8.0, 5.0): 0.0008, (5.0, 8.0): 0.0012, (10.0, 8.0): 0.0008, (6.0, 7.0): 0.001, (5.0, 5.0): 0.003, (11.0, 5.0): 0.06, (10.0, 7.0): 0.0022, (7.0, 6.0): 0.001, (6.0, 10.0): 0.0006, (13.0, 7.0): 0.001, (1.0, 1.0): 0.12, (8.0, 15.0): 0.001, (4.0, 10.0): 0.0012, (5.0, 11.0): 0.0012, (4.0, 5.0): 0.02, (10.0, 13.0): 0.015, (9.0, 3.0): 0.0008, (7.0, 5.0): 0.0012, (13.0, 10.0): 0.0002, (3.0, 12.0): 0.0188, (1.0, 12.0): 0.0022, (4.0, 15.0): 0.0026, (9.0, 9.0): 0.0002, (6.0, 13.0): 0.002, (11.0, 15.0): 0.0042, (7.0, 8.0): 0.0004, (13.0, 13.0): 0.0034, (3.0, 11.0): 0.0056, (1.0, 15.0): 0.0466, (8.0, 9.0): 0.0006, (4.0, 12.0): 0.0072, (10.0, 3.0): 0.0012, (11.0, 10.0): 0.0012, (7.0, 15.0): 0.0018, (13.0, 3.0): 0.0518, (1.0, 5.0): 0.0048, (3.0, 6.0): 0.0164, (1.0, 10.0): 0.001, (8.0, 6.0): 0.0006, (9.0, 7.0): 0.0008, (6.0, 11.0): 0.0006, (11.0, 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+36 None [{(7.0, 3.0): 0.0006, (6.0, 9.0): 0.0008, (11.0, 11.0): 0.0008, (7.0, 12.0): 0.0008, (13.0, 4.0): 0.0116, (1.0, 6.0): 0.0034, (3.0, 7.0): 0.0046, (1.0, 11.0): 0.002, (8.0, 5.0): 0.0012, (5.0, 8.0): 0.0014, (10.0, 8.0): 0.0004, (6.0, 7.0): 0.0006, (5.0, 5.0): 0.0044, (11.0, 5.0): 0.0644, (10.0, 7.0): 0.0012, (7.0, 6.0): 0.0012, (6.0, 10.0): 0.0004, (13.0, 7.0): 0.001, (1.0, 1.0): 0.192, (8.0, 15.0): 0.0014, (4.0, 10.0): 0.0006, (5.0, 11.0): 0.0012, (4.0, 5.0): 0.0192, (10.0, 13.0): 0.0072, (9.0, 3.0): 0.0008, (7.0, 5.0): 0.0006, (13.0, 10.0): 0.0012, (3.0, 12.0): 0.0184, (1.0, 12.0): 0.0014, (8.0, 12.0): 0.0004, (4.0, 15.0): 0.0028, (6.0, 13.0): 0.0018, (11.0, 15.0): 0.004, (13.0, 13.0): 0.0042, (3.0, 11.0): 0.005, (1.0, 15.0): 0.05, (8.0, 9.0): 0.0006, (4.0, 12.0): 0.0066, (10.0, 3.0): 0.0024, (11.0, 10.0): 0.0002, (7.0, 15.0): 0.001, (13.0, 3.0): 0.0512, (1.0, 5.0): 0.0046, (3.0, 6.0): 0.0194, (1.0, 10.0): 0.001, (8.0, 6.0): 0.0004, (9.0, 7.0): 0.0008, (6.0, 11.0): 0.0012, (11.0, 9.0): 0.0002, (13.0, 6.0): 0.0022, (4.0, 11.0): 0.0042, (3.0, 5.0): 0.05, (9.0, 13.0): 0.0024, (8.0, 3.0): 0.0006, (5.0, 10.0): 0.0008, (4.0, 6.0): 0.01, (10.0, 10.0): 0.0002, (5.0, 7.0): 0.0012, (11.0, 3.0): 0.003, (13.0, 9.0): 0.0006, (3.0, 15.0): 0.0028, (1.0, 3.0): 0.04, (8.0, 13.0): 0.001, (4.0, 8.0): 0.0008, (9.0, 8.0): 0.0004, (5.0, 13.0): 0.0034, (10.0, 15.0): 0.002, (7.0, 11.0): 0.0006, (13.0, 12.0): 0.003, (3.0, 10.0): 0.002, (1.0, 14.0): 0.0146, (4.0, 13.0): 0.0202, (9.0, 11.0): 0.0002, (6.0, 15.0): 0.0004, (12.0, 3.0): 0.0126, (11.0, 13.0): 0.0234, (13.0, 15.0): 0.0496, (1.0, 4.0): 0.0124, (3.0, 9.0): 0.001, (2.0, 3.0): 0.017, (1.0, 9.0): 0.0016, (8.0, 7.0): 0.0004, (9.0, 6.0): 0.0014, (6.0, 5.0): 0.0028, (5.0, 3.0): 0.002, (11.0, 7.0): 0.0038, (10.0, 5.0): 0.0148, (6.0, 8.0): 0.001, (11.0, 8.0): 0.001, (7.0, 13.0): 0.0002, (13.0, 5.0): 0.0044, (1.0, 7.0): 0.0012, (9.0, 12.0): 0.0008, (5.0, 9.0): 0.0012, (4.0, 7.0): 0.004, (10.0, 11.0): 0.0006, (6.0, 6.0): 0.002, (5.0, 6.0): 0.003, (10.0, 6.0): 0.007, (7.0, 7.0): 0.0002, (13.0, 8.0): 0.0008, (4.0, 9.0): 0.0016, (3.0, 3.0): 0.0062, (9.0, 15.0): 0.0014, (5.0, 12.0): 0.0016, (10.0, 12.0): 0.001, (6.0, 3.0): 0.0008, (7.0, 10.0): 0.0008, (13.0, 11.0): 0.001, (3.0, 13.0): 0.0682, (1.0, 13.0): 0.0026, (9.0, 10.0): 0.0002, (5.0, 15.0): 0.0016, (6.0, 12.0): 0.001, (11.0, 12.0): 0.006, (7.0, 9.0): 0.0004, (12.0, 15.0): 0.0156, (13.0, 14.0): 0.0148, (3.0, 8.0): 0.0016, (1.0, 8.0): 0.0008, (8.0, 8.0): 0.0008, (4.0, 3.0): 0.0014, (2.0, 15.0): 0.0126, (9.0, 5.0): 0.003, (11.0, 6.0): 0.0156, }, {(7.0, 3.0): 0.001, (6.0, 9.0): 0.0006, (11.0, 11.0): 0.0002, (7.0, 12.0): 0.001, (13.0, 4.0): 0.0144, (1.0, 6.0): 0.0028, (3.0, 7.0): 0.0056, (1.0, 11.0): 0.0014, (8.0, 5.0): 0.001, (5.0, 8.0): 0.0008, (10.0, 8.0): 0.0008, (6.0, 7.0): 0.0012, (5.0, 5.0): 0.0048, (11.0, 5.0): 0.0604, (10.0, 7.0): 0.003, (7.0, 6.0): 0.0006, (6.0, 10.0): 0.0002, (13.0, 7.0): 0.0006, (8.0, 15.0): 0.0014, (4.0, 10.0): 0.0008, (5.0, 11.0): 0.0004, (4.0, 5.0): 0.0182, (10.0, 13.0): 0.0066, (9.0, 3.0): 0.0008, (7.0, 5.0): 0.0008, (13.0, 10.0): 0.0014, (3.0, 12.0): 0.0182, (1.0, 12.0): 0.0024, (8.0, 12.0): 0.0004, (4.0, 15.0): 0.0022, (3.0, 1.0): 0.1884, (9.0, 9.0): 0.0002, (6.0, 13.0): 0.0012, (11.0, 15.0): 0.0044, (7.0, 8.0): 0.0002, (13.0, 13.0): 0.0052, (3.0, 11.0): 0.0044, (1.0, 15.0): 0.0466, (8.0, 9.0): 0.0002, (4.0, 12.0): 0.007, (10.0, 3.0): 0.0022, (11.0, 10.0): 0.0006, (7.0, 15.0): 0.0012, (13.0, 3.0): 0.0498, (1.0, 5.0): 0.0066, (3.0, 6.0): 0.023, (1.0, 10.0): 0.0008, (8.0, 6.0): 0.002, (9.0, 7.0): 0.0006, (6.0, 11.0): 0.0006, (11.0, 9.0): 0.0004, (13.0, 6.0): 0.0012, (4.0, 11.0): 0.0024, (3.0, 5.0): 0.0542, (9.0, 13.0): 0.003, (8.0, 3.0): 0.0006, (5.0, 10.0): 0.0018, (4.0, 6.0): 0.013, (5.0, 7.0): 0.001, (11.0, 3.0): 0.0044, (13.0, 9.0): 0.0006, (3.0, 15.0): 0.0034, (1.0, 3.0): 0.0364, (8.0, 13.0): 0.0018, (4.0, 8.0): 0.0022, (9.0, 8.0): 0.0004, (5.0, 13.0): 0.0038, (10.0, 15.0): 0.0006, (7.0, 11.0): 0.0006, (13.0, 12.0): 0.0014, (3.0, 10.0): 0.0006, (1.0, 14.0): 0.011, (8.0, 10.0): 0.0002, (4.0, 13.0): 0.0164, (6.0, 15.0): 0.001, (12.0, 3.0): 0.0134, (11.0, 13.0): 0.0264, (13.0, 15.0): 0.0462, (1.0, 4.0): 0.0142, (3.0, 9.0): 0.0022, (2.0, 3.0): 0.014, (1.0, 9.0): 0.0006, (8.0, 7.0): 0.0008, (9.0, 6.0): 0.0022, (6.0, 5.0): 0.0024, (5.0, 3.0): 0.0018, (11.0, 7.0): 0.0028, (10.0, 5.0): 0.02, (6.0, 8.0): 0.0006, (11.0, 8.0): 0.0014, (7.0, 13.0): 0.0008, (13.0, 5.0): 0.005, (1.0, 7.0): 0.0018, (9.0, 12.0): 0.0004, (5.0, 9.0): 0.0006, (4.0, 7.0): 0.005, (10.0, 11.0): 0.0008, (6.0, 6.0): 0.001, (5.0, 6.0): 0.0032, (10.0, 6.0): 0.0064, (7.0, 7.0): 0.0002, (4.0, 9.0): 0.0016, (3.0, 3.0): 0.0052, (9.0, 15.0): 0.0006, (5.0, 12.0): 0.0022, (10.0, 12.0): 0.0016, (6.0, 3.0): 0.0014, (13.0, 11.0): 0.001, (3.0, 13.0): 0.0666, (1.0, 13.0): 0.0042, (8.0, 11.0): 0.0002, (9.0, 10.0): 0.0002, (5.0, 15.0): 0.0018, (6.0, 12.0): 0.0012, (11.0, 12.0): 0.008, (7.0, 9.0): 0.0002, (12.0, 15.0): 0.0134, (13.0, 14.0): 0.0112, (3.0, 8.0): 0.0022, (1.0, 8.0): 0.0014, (4.0, 3.0): 0.0036, (2.0, 15.0): 0.014, (9.0, 5.0): 0.005, (11.0, 6.0): 0.0174, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q10/2-JointParticlePredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/2-JointParticlePredict.test
new file mode 100644
index 0000000..a391d8b
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/2-JointParticlePredict.test	
@@ -0,0 +1,37 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%
+%             %
+% %%%%%%%%%%% %
+% %         % %
+% %         % %
+% %         % %
+% %         %G%
+% %    P    %G%
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %%%%%%%%%%% %
+%             %
+%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%
+%%%%%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "35"
+
+numGhosts: "2"
+ghost: "DispersingSeededGhost"
+inference: "MarginalInference"
+L2Tolerance: "0.05"
+errorMsg: "Joint particle filter elapseTime test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q10/3-JointParticleFull.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/3-JointParticleFull.solution
new file mode 100644
index 0000000..1ae204d
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/3-JointParticleFull.solution	
@@ -0,0 +1,55 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.0448, (1, 3): 0.045, (20, 3): 0.046, (17, 3): 0.0454, (10, 3): 0.0452, (3, 3): 0.0462, (13, 3): 0.0458, (16, 3): 0.0454, (6, 3): 0.0458, (19, 3): 0.0456, (12, 3): 0.0456, (22, 3): 0.0452, (15, 3): 0.0452, (9, 3): 0.045, (2, 3): 0.0462, (5, 3): 0.0454, (8, 3): 0.0458, (18, 3): 0.045, (11, 3): 0.0454, (21, 3): 0.0458, (4, 3): 0.0456, (14, 3): 0.0446, }, {(7, 3): 0.0458, (1, 3): 0.046, (20, 3): 0.0452, (17, 3): 0.0448, (10, 3): 0.0454, (3, 3): 0.0456, (13, 3): 0.046, (16, 3): 0.0456, (6, 3): 0.0454, (19, 3): 0.0448, (12, 3): 0.0456, (22, 3): 0.0458, (15, 3): 0.0448, (9, 3): 0.0452, (2, 3): 0.0452, (5, 3): 0.0458, (8, 3): 0.0452, (18, 3): 0.0452, (11, 3): 0.0456, (21, 3): 0.0458, (4, 3): 0.0452, (14, 3): 0.046, }, ]
+1 Stop [{(7, 3): 0.0366, (8, 3): 0.0872, (3, 3): 0.003, (13, 3): 0.0464, (15, 3): 0.0092, (16, 3): 0.0048, (9, 3): 0.1668, (11, 3): 0.164, (6, 3): 0.0254, (17, 3): 0.0028, (4, 3): 0.0056, (14, 3): 0.0208, (10, 3): 0.337, (12, 3): 0.0792, (5, 3): 0.0112, }, {(7, 3): 0.042, (8, 3): 0.0786, (3, 3): 0.0022, (13, 3): 0.0492, (15, 3): 0.0106, (16, 3): 0.0044, (9, 3): 0.1604, (11, 3): 0.1608, (6, 3): 0.0218, (17, 3): 0.0018, (4, 3): 0.004, (14, 3): 0.0218, (10, 3): 0.3484, (12, 3): 0.0822, (5, 3): 0.0118, }, ]
+2 Stop [{(7.0, 3.0): 0.0262, (8.0, 3.0): 0.087, (3.0, 3.0): 0.0002, (13.0, 3.0): 0.0152, (15.0, 3.0): 0.001, (16.0, 3.0): 0.0002, (9.0, 3.0): 0.284, (11.0, 3.0): 0.1642, (6.0, 3.0): 0.007, (4.0, 3.0): 0.0004, (14.0, 3.0): 0.006, (10.0, 3.0): 0.3562, (12.0, 3.0): 0.0508, (5.0, 3.0): 0.0016, }, {(7.0, 3.0): 0.005, (8.0, 3.0): 0.0242, (18.0, 3.0): 0.0002, (13.0, 3.0): 0.1202, (15.0, 3.0): 0.0084, (16.0, 3.0): 0.003, (9.0, 3.0): 0.0658, (11.0, 3.0): 0.2864, (6.0, 3.0): 0.0024, (17.0, 3.0): 0.0006, (14.0, 3.0): 0.0266, (10.0, 3.0): 0.107, (12.0, 3.0): 0.3494, (5.0, 3.0): 0.0008, }, ]
+3 Stop [{(7.0, 3.0): 0.0074, (8.0, 3.0): 0.0546, (13.0, 3.0): 0.0692, (15.0, 3.0): 0.002, (9.0, 3.0): 0.1282, (11.0, 3.0): 0.2466, (6.0, 3.0): 0.0018, (14.0, 3.0): 0.0094, (10.0, 3.0): 0.18, (12.0, 3.0): 0.3008, }, {(7.0, 3.0): 0.0056, (8.0, 3.0): 0.0252, (13.0, 3.0): 0.1028, (15.0, 3.0): 0.0026, (16.0, 3.0): 0.0004, (9.0, 3.0): 0.0718, (11.0, 3.0): 0.3544, (6.0, 3.0): 0.0006, (17.0, 3.0): 0.0002, (4.0, 3.0): 0.0002, (14.0, 3.0): 0.0166, (10.0, 3.0): 0.1782, (12.0, 3.0): 0.241, (5.0, 3.0): 0.0004, }, ]
+4 Stop [{(7.0, 3.0): 0.0126, (8.0, 3.0): 0.0742, (13.0, 3.0): 0.0202, (9.0, 3.0): 0.2232, (11.0, 3.0): 0.162, (6.0, 3.0): 0.0008, (14.0, 3.0): 0.0036, (10.0, 3.0): 0.4552, (12.0, 3.0): 0.0482, }, {(7.0, 3.0): 0.0004, (8.0, 3.0): 0.0022, (13.0, 3.0): 0.3572, (15.0, 3.0): 0.0238, (16.0, 3.0): 0.0024, (9.0, 3.0): 0.0094, (11.0, 3.0): 0.0682, (14.0, 3.0): 0.3002, (10.0, 3.0): 0.0286, (12.0, 3.0): 0.2076, }, ]
+5 Stop [{(7.0, 3.0): 0.0558, (8.0, 3.0): 0.3598, (13.0, 3.0): 0.0002, (15.0, 3.0): 0.0002, (9.0, 3.0): 0.4138, (11.0, 3.0): 0.036, (6.0, 3.0): 0.0044, (10.0, 3.0): 0.1244, (12.0, 3.0): 0.0052, (5.0, 3.0): 0.0002, }, {(13.0, 3.0): 0.1374, (15.0, 3.0): 0.4692, (16.0, 3.0): 0.0158, (9.0, 3.0): 0.0002, (11.0, 3.0): 0.008, (17.0, 3.0): 0.0008, (14.0, 3.0): 0.3328, (10.0, 3.0): 0.0008, (12.0, 3.0): 0.035, }, ]
+6 Stop [{(7.0, 3.0): 0.0734, (8.0, 3.0): 0.2156, (13.0, 3.0): 0.0008, (9.0, 3.0): 0.2528, (11.0, 3.0): 0.1352, (6.0, 3.0): 0.0054, (10.0, 3.0): 0.2986, (12.0, 3.0): 0.0178, (5.0, 3.0): 0.0004, }, {(18.0, 3.0): 0.0018, (13.0, 3.0): 0.0212, (15.0, 3.0): 0.254, (16.0, 3.0): 0.5842, (11.0, 3.0): 0.0008, (17.0, 3.0): 0.036, (14.0, 3.0): 0.0988, (12.0, 3.0): 0.0032, }, ]
+7 Stop [{(7.0, 3.0): 0.1562, (8.0, 3.0): 0.4228, (13.0, 3.0): 0.0006, (9.0, 3.0): 0.2832, (11.0, 3.0): 0.02, (6.0, 3.0): 0.0232, (10.0, 3.0): 0.0912, (12.0, 3.0): 0.0014, (5.0, 3.0): 0.0014, }, {(18.0, 3.0): 0.0074, (13.0, 3.0): 0.0078, (15.0, 3.0): 0.4138, (16.0, 3.0): 0.289, (17.0, 3.0): 0.2076, (19.0, 3.0): 0.0004, (14.0, 3.0): 0.0722, (12.0, 3.0): 0.0018, }, ]
+8 Stop [{(7.0, 3.0): 0.2802, (8.0, 3.0): 0.4754, (9.0, 3.0): 0.1524, (11.0, 3.0): 0.0046, (6.0, 3.0): 0.0488, (10.0, 3.0): 0.0334, (12.0, 3.0): 0.0004, (5.0, 3.0): 0.0048, }, {(18.0, 3.0): 0.131, (13.0, 3.0): 0.0012, (15.0, 3.0): 0.0754, (16.0, 3.0): 0.3418, (17.0, 3.0): 0.4274, (19.0, 3.0): 0.0008, (14.0, 3.0): 0.0224, }, ]
+9 Stop [{(7.0, 3.0): 0.2536, (8.0, 3.0): 0.2956, (13.0, 3.0): 0.0002, (9.0, 3.0): 0.3304, (11.0, 3.0): 0.0044, (6.0, 3.0): 0.0628, (4.0, 3.0): 0.0002, (10.0, 3.0): 0.047, (12.0, 3.0): 0.0002, (5.0, 3.0): 0.0056, }, {(18.0, 3.0): 0.552, (13.0, 3.0): 0.0006, (15.0, 3.0): 0.019, (16.0, 3.0): 0.0726, (17.0, 3.0): 0.2848, (19.0, 3.0): 0.0686, (14.0, 3.0): 0.0024, }, ]
+10 Stop [{(7.0, 3.0): 0.2182, (8.0, 3.0): 0.5514, (9.0, 3.0): 0.1112, (11.0, 3.0): 0.0024, (6.0, 3.0): 0.0818, (4.0, 3.0): 0.0002, (10.0, 3.0): 0.0268, (5.0, 3.0): 0.008, }, {(18.0, 3.0): 0.3048, (20.0, 3.0): 0.0112, (15.0, 3.0): 0.007, (16.0, 3.0): 0.0692, (17.0, 3.0): 0.3976, (19.0, 3.0): 0.209, (14.0, 3.0): 0.0012, }, ]
+11 Stop [{(7.0, 3.0): 0.4086, (8.0, 3.0): 0.3794, (9.0, 3.0): 0.112, (11.0, 3.0): 0.0016, (6.0, 3.0): 0.074, (4.0, 3.0): 0.001, (10.0, 3.0): 0.013, (5.0, 3.0): 0.0104, }, {(18.0, 3.0): 0.3296, (20.0, 3.0): 0.132, (15.0, 3.0): 0.002, (16.0, 3.0): 0.0226, (21.0, 3.0): 0.012, (17.0, 3.0): 0.0714, (19.0, 3.0): 0.4304, }, ]
+12 Stop [{(7.0, 3.0): 0.31, (8.0, 3.0): 0.0898, (9.0, 3.0): 0.0222, (11.0, 3.0): 0.0002, (6.0, 3.0): 0.525, (4.0, 3.0): 0.0024, (10.0, 3.0): 0.0024, (5.0, 3.0): 0.048, }, {(22.0, 3.0): 0.003, (18.0, 3.0): 0.0816, (20.0, 3.0): 0.5362, (15.0, 3.0): 0.0004, (16.0, 3.0): 0.0024, (21.0, 3.0): 0.0762, (17.0, 3.0): 0.0184, (19.0, 3.0): 0.2818, }, ]
+13 Stop [{(7.0, 3.0): 0.2672, (8.0, 3.0): 0.226, (9.0, 3.0): 0.114, (11.0, 3.0): 0.007, (6.0, 3.0): 0.2094, (10.0, 3.0): 0.0534, (5.0, 3.0): 0.123, }, {(22.0, 3.0): 0.0384, (18.0, 3.0): 0.0408, (20.0, 3.0): 0.185, (16.0, 3.0): 0.001, (21.0, 3.0): 0.4786, (17.0, 3.0): 0.0066, (19.0, 3.0): 0.2496, }, ]
+14 Stop [{(7.0, 3.0): 0.2202, (8.0, 3.0): 0.0852, (9.0, 3.0): 0.0228, (11.0, 3.0): 0.0006, (6.0, 3.0): 0.4512, (4.0, 3.0): 0.044, (10.0, 3.0): 0.0024, (5.0, 3.0): 0.1736, }, {(22.0, 3.0): 0.5328, (18.0, 3.0): 0.084, (20.0, 3.0): 0.1118, (16.0, 3.0): 0.003, (21.0, 3.0): 0.16, (17.0, 3.0): 0.0248, (19.0, 3.0): 0.0836, }, ]
+15 Stop [{(7.0, 3.0): 0.0816, (8.0, 3.0): 0.017, (3.0, 3.0): 0.013, (9.0, 3.0): 0.0016, (6.0, 3.0): 0.2156, (4.0, 3.0): 0.1048, (10.0, 3.0): 0.0004, (5.0, 3.0): 0.566, }, {(22.0, 3.0): 0.6318, (18.0, 3.0): 0.0638, (20.0, 3.0): 0.029, (15.0, 3.0): 0.0008, (16.0, 3.0): 0.0206, (21.0, 3.0): 0.1536, (17.0, 3.0): 0.0452, (19.0, 3.0): 0.0552, }, ]
+16 Stop [{(7.0, 3.0): 0.0088, (8.0, 3.0): 0.0012, (3.0, 3.0): 0.199, (6.0, 3.0): 0.0608, (2.0, 3.0): 0.0122, (4.0, 3.0): 0.5442, (5.0, 3.0): 0.1738, }, {(22.0, 3.0): 0.7434, (18.0, 3.0): 0.0518, (20.0, 3.0): 0.0218, (15.0, 3.0): 0.0004, (16.0, 3.0): 0.003, (21.0, 3.0): 0.1178, (17.0, 3.0): 0.0216, (19.0, 3.0): 0.0402, }, ]
+17 Stop [{(7.0, 3.0): 0.0004, (1.0, 3.0): 0.0088, (3.0, 3.0): 0.4696, (6.0, 3.0): 0.0078, (2.0, 3.0): 0.3274, (4.0, 3.0): 0.1378, (5.0, 3.0): 0.0482, }, {(22.0, 3.0): 0.4564, (18.0, 3.0): 0.0166, (20.0, 3.0): 0.1492, (21.0, 3.0): 0.314, (17.0, 3.0): 0.0056, (19.0, 3.0): 0.0582, }, ]
+18 Stop [{(1.0, 3.0): 0.4628, (2.0, 3.0): 0.384, (3.0, 3.0): 0.1136, (4.0, 3.0): 0.036, (5.0, 3.0): 0.0036, }, {(22.0, 3.0): 0.4282, (18.0, 3.0): 0.0098, (20.0, 3.0): 0.0938, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.3974, (17.0, 3.0): 0.0026, (19.0, 3.0): 0.068, }, ]
+19 Stop [{(1.0, 3.0): 0.341, (3.0, 3.0): 0.2338, (6.0, 3.0): 0.0014, (2.0, 3.0): 0.284, (4.0, 3.0): 0.122, (5.0, 3.0): 0.0178, }, {(22.0, 3.0): 0.3498, (18.0, 3.0): 0.0092, (20.0, 3.0): 0.291, (21.0, 3.0): 0.3094, (17.0, 3.0): 0.0006, (19.0, 3.0): 0.04, }, ]
+20 Stop [{(1.0, 3.0): 0.2458, (3.0, 3.0): 0.3658, (6.0, 3.0): 0.0004, (2.0, 3.0): 0.2964, (4.0, 3.0): 0.0768, (5.0, 3.0): 0.0148, }, {(22.0, 3.0): 0.6638, (18.0, 3.0): 0.0126, (20.0, 3.0): 0.0476, (21.0, 3.0): 0.2254, (17.0, 3.0): 0.0036, (19.0, 3.0): 0.047, }, ]
+21 Stop [{(1.0, 3.0): 0.6268, (3.0, 3.0): 0.0648, (6.0, 3.0): 0.0002, (2.0, 3.0): 0.2882, (4.0, 3.0): 0.0186, (5.0, 3.0): 0.0014, }, {(22.0, 3.0): 0.5438, (18.0, 3.0): 0.0096, (20.0, 3.0): 0.0688, (21.0, 3.0): 0.3408, (17.0, 3.0): 0.0006, (19.0, 3.0): 0.0364, }, ]
+22 Stop [{(1.0, 3.0): 0.5528, (3.0, 3.0): 0.0548, (6.0, 3.0): 0.0002, (2.0, 3.0): 0.3866, (4.0, 3.0): 0.0048, (5.0, 3.0): 0.0008, }, {(22.0, 3.0): 0.8016, (18.0, 3.0): 0.0088, (20.0, 3.0): 0.0284, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.1462, (17.0, 3.0): 0.0008, (19.0, 3.0): 0.014, }, ]
+23 Stop [{(7.0, 3.0): 0.0002, (1.0, 3.0): 0.4392, (3.0, 3.0): 0.2004, (2.0, 3.0): 0.3146, (4.0, 3.0): 0.0446, (5.0, 3.0): 0.001, }, {(22.0, 3.0): 0.5084, (18.0, 3.0): 0.0026, (20.0, 3.0): 0.0952, (21.0, 3.0): 0.3716, (17.0, 3.0): 0.0002, (19.0, 3.0): 0.022, }, ]
+24 Stop [{(1.0, 3.0): 0.7556, (2.0, 3.0): 0.196, (3.0, 3.0): 0.0386, (4.0, 3.0): 0.0092, (5.0, 3.0): 0.0006, }, {(22.0, 3.0): 0.5054, (18.0, 3.0): 0.0032, (19.0, 3.0): 0.0362, (20.0, 3.0): 0.0696, (21.0, 3.0): 0.3856, }, ]
+25 Stop [{(1.0, 3.0): 0.4844, (3.0, 3.0): 0.1072, (6.0, 3.0): 0.0078, (2.0, 3.0): 0.3334, (4.0, 3.0): 0.0424, (5.0, 3.0): 0.0248, }, {(22.0, 3.0): 0.501, (18.0, 3.0): 0.0112, (20.0, 3.0): 0.0814, (21.0, 3.0): 0.3762, (17.0, 3.0): 0.0002, (19.0, 3.0): 0.03, }, ]
+26 Stop [{(1.0, 3.0): 0.4868, (3.0, 3.0): 0.0774, (6.0, 3.0): 0.0002, (2.0, 3.0): 0.4144, (4.0, 3.0): 0.0174, (5.0, 3.0): 0.0038, }, {(22.0, 3.0): 0.4868, (18.0, 3.0): 0.0026, (20.0, 3.0): 0.0818, (21.0, 3.0): 0.3884, (17.0, 3.0): 0.0002, (19.0, 3.0): 0.0402, }, ]
+27 Stop [{(1.0, 3.0): 0.3888, (3.0, 3.0): 0.2256, (6.0, 3.0): 0.001, (2.0, 3.0): 0.2964, (4.0, 3.0): 0.0816, (5.0, 3.0): 0.0066, }, {(22.0, 3.0): 0.4982, (18.0, 3.0): 0.007, (20.0, 3.0): 0.0872, (21.0, 3.0): 0.3748, (17.0, 3.0): 0.0002, (19.0, 3.0): 0.0326, }, ]
+28 Stop [{(1.0, 3.0): 0.404, (2.0, 3.0): 0.4596, (3.0, 3.0): 0.106, (4.0, 3.0): 0.0258, (5.0, 3.0): 0.0046, }, {(22.0, 3.0): 0.78, (18.0, 3.0): 0.0074, (20.0, 3.0): 0.0324, (21.0, 3.0): 0.1628, (17.0, 3.0): 0.0004, (19.0, 3.0): 0.017, }, ]
+29 Stop [{(1.0, 3.0): 0.3566, (3.0, 3.0): 0.2316, (6.0, 3.0): 0.0006, (2.0, 3.0): 0.2844, (4.0, 3.0): 0.115, (5.0, 3.0): 0.0118, }, {(22.0, 3.0): 0.8192, (18.0, 3.0): 0.0056, (20.0, 3.0): 0.01, (21.0, 3.0): 0.1548, (17.0, 3.0): 0.0022, (19.0, 3.0): 0.0082, }, ]
+30 Stop [{(1.0, 3.0): 0.2524, (3.0, 3.0): 0.3446, (6.0, 3.0): 0.0012, (2.0, 3.0): 0.3206, (4.0, 3.0): 0.0668, (5.0, 3.0): 0.0144, }, {(22.0, 3.0): 0.8446, (18.0, 3.0): 0.0052, (20.0, 3.0): 0.0128, (21.0, 3.0): 0.1302, (17.0, 3.0): 0.0028, (19.0, 3.0): 0.0044, }, ]
+31 Stop [{(1.0, 3.0): 0.158, (3.0, 3.0): 0.2258, (6.0, 3.0): 0.0142, (2.0, 3.0): 0.2646, (4.0, 3.0): 0.2442, (5.0, 3.0): 0.0932, }, {(22.0, 3.0): 0.8438, (18.0, 3.0): 0.0026, (20.0, 3.0): 0.0076, (16.0, 3.0): 0.0006, (21.0, 3.0): 0.1366, (17.0, 3.0): 0.0046, (19.0, 3.0): 0.0042, }, ]
+32 Stop [{(7.0, 3.0): 0.0002, (1.0, 3.0): 0.5836, (3.0, 3.0): 0.1312, (6.0, 3.0): 0.0022, (2.0, 3.0): 0.2418, (4.0, 3.0): 0.0336, (5.0, 3.0): 0.0074, }, {(22.0, 3.0): 0.846, (18.0, 3.0): 0.005, (20.0, 3.0): 0.008, (16.0, 3.0): 0.0042, (21.0, 3.0): 0.1318, (17.0, 3.0): 0.0022, (19.0, 3.0): 0.0028, }, ]
+33 Stop [{(1.0, 3.0): 0.7878, (2.0, 3.0): 0.1814, (3.0, 3.0): 0.0262, (4.0, 3.0): 0.0036, (5.0, 3.0): 0.001, }, {(22.0, 3.0): 0.5752, (18.0, 3.0): 0.0032, (20.0, 3.0): 0.0192, (16.0, 3.0): 0.0002, (21.0, 3.0): 0.3936, (17.0, 3.0): 0.001, (19.0, 3.0): 0.0076, }, ]
+34 Stop [{(1.0, 3.0): 0.8434, (2.0, 3.0): 0.1426, (3.0, 3.0): 0.0128, (4.0, 3.0): 0.0012, }, {(22.0, 3.0): 0.8452, (18.0, 3.0): 0.0026, (20.0, 3.0): 0.0198, (21.0, 3.0): 0.1298, (17.0, 3.0): 0.0006, (19.0, 3.0): 0.002, }, ]
+35 Stop [{(1.0, 3.0): 0.8556, (2.0, 3.0): 0.1358, (3.0, 3.0): 0.008, (4.0, 3.0): 0.0006, }, {(22.0, 3.0): 0.5438, (18.0, 3.0): 0.001, (19.0, 3.0): 0.0096, (20.0, 3.0): 0.0836, (21.0, 3.0): 0.362, }, ]
+36 Stop [{(1.0, 3.0): 0.8436, (2.0, 3.0): 0.149, (3.0, 3.0): 0.007, (4.0, 3.0): 0.0004, }, {(22.0, 3.0): 0.8136, (18.0, 3.0): 0.0032, (19.0, 3.0): 0.0116, (20.0, 3.0): 0.0256, (21.0, 3.0): 0.146, }, ]
+37 Stop [{(1.0, 3.0): 0.8454, (2.0, 3.0): 0.1448, (3.0, 3.0): 0.0098, }, {(22.0, 3.0): 0.8278, (18.0, 3.0): 0.0038, (19.0, 3.0): 0.0044, (20.0, 3.0): 0.0102, (21.0, 3.0): 0.1538, }, ]
+38 Stop [{(1.0, 3.0): 0.8484, (2.0, 3.0): 0.1422, (3.0, 3.0): 0.0092, (4.0, 3.0): 0.0002, }, {(22.0, 3.0): 0.8488, (18.0, 3.0): 0.0026, (20.0, 3.0): 0.0126, (21.0, 3.0): 0.1334, (17.0, 3.0): 0.0002, (19.0, 3.0): 0.0024, }, ]
+39 Stop [{(1.0, 3.0): 0.8388, (2.0, 3.0): 0.1542, (3.0, 3.0): 0.0066, (4.0, 3.0): 0.0004, }, {(22.0, 3.0): 0.8428, (18.0, 3.0): 0.001, (20.0, 3.0): 0.0068, (21.0, 3.0): 0.1468, (17.0, 3.0): 0.0004, (19.0, 3.0): 0.0022, }, ]
+40 Stop [{(1.0, 3.0): 0.5586, (2.0, 3.0): 0.3442, (3.0, 3.0): 0.096, (4.0, 3.0): 0.0012, }, {(22.0, 3.0): 0.8632, (18.0, 3.0): 0.0008, (20.0, 3.0): 0.0072, (21.0, 3.0): 0.1276, (17.0, 3.0): 0.0004, (19.0, 3.0): 0.0008, }, ]
+41 Stop [{(1.0, 3.0): 0.8026, (2.0, 3.0): 0.1714, (3.0, 3.0): 0.023, (4.0, 3.0): 0.003, }, {(22.0, 3.0): 0.8416, (18.0, 3.0): 0.0004, (19.0, 3.0): 0.0012, (20.0, 3.0): 0.0078, (21.0, 3.0): 0.149, }, ]
+42 Stop [{(1.0, 3.0): 0.8524, (2.0, 3.0): 0.137, (3.0, 3.0): 0.0094, (4.0, 3.0): 0.0012, }, {(22.0, 3.0): 0.845, (17.0, 3.0): 0.0006, (19.0, 3.0): 0.0012, (20.0, 3.0): 0.0082, (21.0, 3.0): 0.145, }, ]
+43 Stop [{(1.0, 3.0): 0.839, (2.0, 3.0): 0.1514, (3.0, 3.0): 0.0096, }, {(22.0, 3.0): 0.8386, (18.0, 3.0): 0.002, (19.0, 3.0): 0.0006, (20.0, 3.0): 0.0102, (21.0, 3.0): 0.1486, }, ]
+44 Stop [{(1.0, 3.0): 0.8432, (2.0, 3.0): 0.1496, (3.0, 3.0): 0.007, (4.0, 3.0): 0.0002, }, {(22.0, 3.0): 0.57, (19.0, 3.0): 0.0038, (20.0, 3.0): 0.02, (21.0, 3.0): 0.4062, }, ]
+45 Stop [{(1.0, 3.0): 0.8704, (2.0, 3.0): 0.1236, (3.0, 3.0): 0.0058, (4.0, 3.0): 0.0002, }, {(22.0, 3.0): 0.8516, (18.0, 3.0): 0.0006, (19.0, 3.0): 0.0024, (20.0, 3.0): 0.023, (21.0, 3.0): 0.1224, }, ]
+46 Stop [{(1.0, 3.0): 0.8614, (2.0, 3.0): 0.1344, (3.0, 3.0): 0.0038, (4.0, 3.0): 0.0004, }, {(22.0, 3.0): 0.5376, (18.0, 3.0): 0.0004, (19.0, 3.0): 0.0074, (20.0, 3.0): 0.0686, (21.0, 3.0): 0.386, }, ]
+47 Stop [{(1.0, 3.0): 0.8456, (2.0, 3.0): 0.1472, (3.0, 3.0): 0.0072, }, {(22.0, 3.0): 0.8132, (18.0, 3.0): 0.0008, (19.0, 3.0): 0.0098, (20.0, 3.0): 0.0258, (21.0, 3.0): 0.1504, }, ]
+48 Stop [{(1.0, 3.0): 0.5554, (2.0, 3.0): 0.353, (3.0, 3.0): 0.0836, (4.0, 3.0): 0.008, }, {(22.0, 3.0): 0.5258, (18.0, 3.0): 0.0006, (19.0, 3.0): 0.0086, (20.0, 3.0): 0.1078, (21.0, 3.0): 0.3572, }, ]
+49 Stop [{(1.0, 3.0): 0.3894, (2.0, 3.0): 0.3408, (3.0, 3.0): 0.1802, (4.0, 3.0): 0.0876, (5.0, 3.0): 0.002, }, {(22.0, 3.0): 0.4312, (18.0, 3.0): 0.001, (19.0, 3.0): 0.0196, (20.0, 3.0): 0.2034, (21.0, 3.0): 0.3448, }, ]
+50 Stop [{(1.0, 3.0): 0.4326, (2.0, 3.0): 0.43, (3.0, 3.0): 0.1124, (4.0, 3.0): 0.022, (5.0, 3.0): 0.003, }, {(22.0, 3.0): 0.7178, (18.0, 3.0): 0.008, (20.0, 3.0): 0.0334, (21.0, 3.0): 0.2164, (17.0, 3.0): 0.0014, (19.0, 3.0): 0.023, }, ]
+51 None [{(1.0, 3.0): 0.2208, (2.0, 3.0): 0.4306, (3.0, 3.0): 0.2372, (4.0, 3.0): 0.0888, (5.0, 3.0): 0.0226, }, {(22.0, 3.0): 0.5894, (18.0, 3.0): 0.0056, (20.0, 3.0): 0.0234, (21.0, 3.0): 0.3436, (17.0, 3.0): 0.0006, (19.0, 3.0): 0.0374, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q10/3-JointParticleFull.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/3-JointParticleFull.test
new file mode 100644
index 0000000..62fad26
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/3-JointParticleFull.test	
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%%
+%          GG          %
+%%%%%%%%%%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%%%%%%P%%%
+%%%%%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "50"
+
+numGhosts: "2"
+ghost: "DispersingSeededGhost"
+inference: "MarginalInference"
+L2Tolerance: "0.05"
+errorMsg: "Joint particle filter elapseTime test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q10/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/CONFIG
new file mode 100644
index 0000000..64a4dd7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q10/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/1-ExactUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/1-ExactUpdate.solution
new file mode 100644
index 0000000..7ddc6bf
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/1-ExactUpdate.solution	
@@ -0,0 +1,55 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+1 Stop [{(5, 4): 0.222222222222, (5, 2): 0.0, (1, 4): 0.0555555555556, (2, 4): 0.111111111111, (7, 4): 0.222222222222, (9, 4): 0.0555555555556, (3, 4): 0.222222222222, (1, 1): 0.0, (8, 4): 0.111111111111, }, ]
+2 Stop [{(5, 4): 0.603773584906, (5, 2): 0.0, (1, 4): 0.00943396226415, (2, 4): 0.0377358490566, (7, 4): 0.150943396226, (9, 4): 0.00943396226415, (3, 4): 0.150943396226, (1, 1): 0.0, (8, 4): 0.0377358490566, }, ]
+3 Stop [{(5, 4): 0.304761904762, (5, 2): 0.0, (1, 4): 0.0047619047619, (2, 4): 0.0380952380952, (7, 4): 0.304761904762, (9, 4): 0.0047619047619, (3, 4): 0.304761904762, (1, 1): 0.0, (8, 4): 0.0380952380952, }, ]
+4 Stop [{(5, 4): 0.104918032787, (5, 2): 0.0, (1, 4): 0.0016393442623, (2, 4): 0.0262295081967, (7, 4): 0.419672131148, (9, 4): 0.0016393442623, (3, 4): 0.419672131148, (1, 1): 0.0, (8, 4): 0.0262295081967, }, ]
+5 Stop [{(5, 4): 0.326322498407, (5, 2): 0.0, (1, 4): 0.00031867431485, (2, 4): 0.0101975780752, (7, 4): 0.326322498407, (9, 4): 0.00031867431485, (3, 4): 0.326322498407, (1, 1): 0.0, (8, 4): 0.0101975780752, }, ]
+6 Stop [{(5, 4): 0.329843775165, (5, 2): 0.0, (1, 4): 8.05282654212e-05, (2, 4): 0.00515380898695, (7, 4): 0.329843775165, (9, 4): 8.05282654212e-05, (3, 4): 0.329843775165, (1, 1): 0.0, (8, 4): 0.00515380898695, }, ]
+7 Stop [{(5, 4): 0.664921572208, (5, 2): 0.0, (1, 4): 1.01458980134e-05, (2, 4): 0.00129867494572, (7, 4): 0.166230393052, (9, 4): 1.01458980134e-05, (3, 4): 0.166230393052, (1, 1): 0.0, (8, 4): 0.00129867494572, }, ]
+8 Stop [{(5, 4): 0.888501748065, (5, 2): 0.0, (1, 4): 8.47341297212e-07, (2, 4): 0.000216919372086, (7, 4): 0.0555313592541, (9, 4): 8.47341297212e-07, (3, 4): 0.0555313592541, (1, 1): 0.0, (8, 4): 0.000216919372086, }, ]
+9 Stop [{(5, 4): 0.888695652911, (5, 2): 0.0, (1, 4): 2.11881554821e-07, (2, 4): 0.000108483356068, (7, 4): 0.0555434783069, (9, 4): 2.11881554821e-07, (3, 4): 0.0555434783069, (1, 1): 0.0, (8, 4): 0.000108483356068, }, ]
+10 Stop [{(5, 4): 0.969668246473, (5, 2): 0.0, (1, 4): 1.44491828452e-08, (2, 4): 1.47959632335e-05, (7, 4): 0.0151510663511, (9, 4): 1.44491828452e-08, (3, 4): 0.0151510663511, (1, 1): 0.0, (8, 4): 1.47959632335e-05, }, ]
+11 Stop [{(5, 4): 0.992244304412, (5, 2): 0.0, (1, 4): 9.24099520232e-10, (2, 4): 1.89255581744e-06, (7, 4): 0.00387595431411, (9, 4): 9.24099520232e-10, (3, 4): 0.00387595431411, (1, 1): 0.0, (8, 4): 1.89255581744e-06, }, ]
+12 Stop [{(5, 4): 0.998050207166, (5, 2): 0.0, (1, 4): 5.80941680333e-11, (2, 4): 2.37953712264e-07, (7, 4): 0.000974658405435, (9, 4): 5.80941680333e-11, (3, 4): 0.000974658405435, (1, 1): 0.0, (8, 4): 2.37953712264e-07, }, ]
+13 Stop [{(5, 4): 0.998050444742, (5, 2): 0.0, (1, 4): 1.45235454655e-11, (2, 4): 1.18976884454e-07, (7, 4): 0.000974658637444, (9, 4): 1.45235454655e-11, (3, 4): 0.000974658637444, (1, 1): 0.0, (8, 4): 1.18976884454e-07, }, ]
+14 Stop [{(5, 4): 0.999511927277, (5, 2): 0.0, (1, 4): 9.09050802217e-13, (2, 4): 1.48938883435e-08, (7, 4): 0.00024402146662, (9, 4): 9.09050802217e-13, (3, 4): 0.00024402146662, (1, 1): 0.0, (8, 4): 1.48938883435e-08, }, ]
+15 Stop [{(5, 4): 0.999877940862, (5, 2): 0.0, (1, 4): 5.68364806021e-14, (2, 4): 1.86241779637e-09, (7, 4): 6.10277063515e-05, (9, 4): 5.68364806021e-14, (3, 4): 6.10277063515e-05, (1, 1): 0.0, (8, 4): 1.86241779637e-09, }, ]
+16 Stop [{(5, 4): 0.999969482888, (5, 2): 0.0, (1, 4): 3.55260526024e-15, (2, 4): 2.32823538335e-10, (7, 4): 1.52583234083e-05, (9, 4): 3.55260526024e-15, (3, 4): 1.52583234083e-05, (1, 1): 0.0, (8, 4): 2.32823538335e-10, }, ]
+17 Stop [{(5, 4): 0.999992370605, (5, 2): 0.0, (1, 4): 2.22042910859e-16, (2, 4): 2.91036084121e-11, (7, 4): 3.81466816179e-06, (9, 4): 2.22042910859e-16, (3, 4): 3.81466816179e-06, (1, 1): 0.0, (8, 4): 2.91036084121e-11, }, ]
+18 Stop [{(5, 4): 0.999998092648, (5, 2): 0.0, (1, 4): 1.3877761338e-17, (2, 4): 3.63797186818e-12, (7, 4): 9.53672497413e-07, (9, 4): 1.3877761338e-17, (3, 4): 9.53672497413e-07, (1, 1): 0.0, (8, 4): 3.63797186818e-12, }, ]
+19 Stop [{(5, 4): 0.999998092651, (5, 2): 0.0, (1, 4): 3.46944033451e-18, (2, 4): 1.8189859341e-12, (7, 4): 9.53672497417e-07, (9, 4): 3.46944033451e-18, (3, 4): 9.53672497417e-07, (1, 1): 0.0, (8, 4): 1.8189859341e-12, }, ]
+20 Stop [{(5, 4): 0.999992370656, (5, 2): 0.0, (1, 4): 3.46942048235e-18, (2, 4): 3.6379510517e-12, (7, 4): 3.81466816199e-06, (9, 4): 3.46942048235e-18, (3, 4): 3.81466816199e-06, (1, 1): 0.0, (8, 4): 3.6379510517e-12, }, ]
+21 Stop [{(5, 4): 0.999998092654, (5, 2): 0.0, (1, 4): 2.16840020907e-19, (2, 4): 4.54746483526e-13, (7, 4): 9.53672497419e-07, (9, 4): 2.16840020907e-19, (3, 4): 9.53672497419e-07, (1, 1): 0.0, (8, 4): 4.54746483526e-13, }, ]
+22 Stop [{(5, 4): 0.999992370656, (5, 2): 0.0, (1, 4): 3.46942048235e-18, (2, 4): 3.6379510517e-12, (7, 4): 3.81466816199e-06, (9, 4): 3.46942048235e-18, (3, 4): 3.81466816199e-06, (1, 1): 0.0, (8, 4): 3.6379510517e-12, }, ]
+23 Stop [{(5, 4): 0.99999237066, (5, 2): 0.0, (1, 4): 8.67355120591e-19, (2, 4): 1.81897552586e-12, (7, 4): 3.814668162e-06, (9, 4): 8.67355120591e-19, (3, 4): 3.814668162e-06, (1, 1): 0.0, (8, 4): 1.81897552586e-12, }, ]
+24 Stop [{(5, 4): 0.999998092655, (5, 2): 0.0, (1, 4): 5.42100052269e-20, (2, 4): 2.27373241763e-13, (7, 4): 9.5367249742e-07, (9, 4): 5.42100052269e-20, (3, 4): 9.5367249742e-07, (1, 1): 0.0, (8, 4): 2.27373241763e-13, }, ]
+25 Stop [{(5, 4): 0.999998092655, (5, 2): 0.0, (1, 4): 1.35525013067e-20, (2, 4): 1.13686620882e-13, (7, 4): 9.5367249742e-07, (9, 4): 1.35525013067e-20, (3, 4): 9.5367249742e-07, (1, 1): 0.0, (8, 4): 1.13686620882e-13, }, ]
+26 Stop [{(5, 4): 0.999999523163, (5, 2): 0.0, (1, 4): 8.47032543358e-22, (2, 4): 1.42108479389e-14, (7, 4): 2.38418465415e-07, (9, 4): 8.47032543358e-22, (3, 4): 2.38418465415e-07, (1, 1): 0.0, (8, 4): 1.42108479389e-14, }, ]
+27 Stop [{(5, 4): 0.999999880791, (5, 2): 0.0, (1, 4): 5.29395528925e-23, (2, 4): 1.77635662764e-15, (7, 4): 5.960463767e-08, (9, 4): 5.29395528925e-23, (3, 4): 5.960463767e-08, (1, 1): 0.0, (8, 4): 1.77635662764e-15, }, ]
+28 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 3.3087223516e-24, (2, 4): 2.22044598308e-16, (7, 4): 1.49011607498e-08, (9, 4): 3.3087223516e-24, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 2.22044598308e-16, }, ]
+29 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 8.27180587901e-25, (2, 4): 1.11022299154e-16, (7, 4): 1.49011607498e-08, (9, 4): 8.27180587901e-25, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 1.11022299154e-16, }, ]
+30 Stop [{(5, 4): 0.999999992549, (5, 2): 0.0, (1, 4): 5.16987878994e-26, (2, 4): 1.38777877044e-17, (7, 4): 3.72529027071e-09, (9, 4): 5.16987878994e-26, (3, 4): 3.72529027071e-09, (1, 1): 0.0, (8, 4): 1.38777877044e-17, }, ]
+31 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 2.06795146975e-25, (2, 4): 1.11022299154e-16, (7, 4): 1.49011607498e-08, (9, 4): 2.06795146975e-25, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 1.11022299154e-16, }, ]
+32 Stop [{(5, 4): 0.999999992549, (5, 2): 0.0, (1, 4): 1.29246969748e-26, (2, 4): 1.38777877044e-17, (7, 4): 3.72529027071e-09, (9, 4): 1.29246969748e-26, (3, 4): 3.72529027071e-09, (1, 1): 0.0, (8, 4): 1.38777877044e-17, }, ]
+33 Stop [{(5, 4): 0.999999998137, (5, 2): 0.0, (1, 4): 8.07793565442e-28, (2, 4): 1.73472347275e-18, (7, 4): 9.31322572881e-10, (9, 4): 8.07793565442e-28, (3, 4): 9.31322572881e-10, (1, 1): 0.0, (8, 4): 1.73472347275e-18, }, ]
+34 Stop [{(5, 4): 0.999999999534, (5, 2): 0.0, (1, 4): 5.04870979106e-29, (2, 4): 2.16840434396e-19, (7, 4): 2.32830643545e-10, (9, 4): 5.04870979106e-29, (3, 4): 2.32830643545e-10, (1, 1): 0.0, (8, 4): 2.16840434396e-19, }, ]
+35 Stop [{(5, 4): 0.999999999884, (5, 2): 0.0, (1, 4): 3.15544362052e-30, (2, 4): 2.7105054309e-20, (7, 4): 5.82076609067e-11, (9, 4): 3.15544362052e-30, (3, 4): 5.82076609067e-11, (1, 1): 0.0, (8, 4): 2.7105054309e-20, }, ]
+36 Stop [{(5, 4): 0.999999999971, (5, 2): 0.0, (1, 4): 1.972152263e-31, (2, 4): 3.38813178892e-21, (7, 4): 1.45519152279e-11, (9, 4): 1.972152263e-31, (3, 4): 1.45519152279e-11, (1, 1): 0.0, (8, 4): 3.38813178892e-21, }, ]
+37 Stop [{(5, 4): 0.999999999993, (5, 2): 0.0, (1, 4): 1.2325951644e-32, (2, 4): 4.23516473624e-22, (7, 4): 3.63797880707e-12, (9, 4): 1.2325951644e-32, (3, 4): 3.63797880707e-12, (1, 1): 0.0, (8, 4): 4.23516473624e-22, }, ]
+38 Stop [{(5, 4): 0.999999999993, (5, 2): 0.0, (1, 4): 3.081487911e-33, (2, 4): 2.11758236812e-22, (7, 4): 3.63797880707e-12, (9, 4): 3.081487911e-33, (3, 4): 3.63797880707e-12, (1, 1): 0.0, (8, 4): 2.11758236812e-22, }, ]
+39 Stop [{(5, 4): 0.999999999998, (5, 2): 0.0, (1, 4): 1.92592994438e-34, (2, 4): 2.64697796016e-23, (7, 4): 9.09494701771e-13, (9, 4): 1.92592994438e-34, (3, 4): 9.09494701771e-13, (1, 1): 0.0, (8, 4): 2.64697796016e-23, }, ]
+40 Stop [{(5, 4): 0.999999999998, (5, 2): 0.0, (1, 4): 4.81482486096e-35, (2, 4): 1.32348898008e-23, (7, 4): 9.09494701771e-13, (9, 4): 4.81482486096e-35, (3, 4): 9.09494701771e-13, (1, 1): 0.0, (8, 4): 1.32348898008e-23, }, ]
+41 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 3.0092655381e-36, (2, 4): 1.65436122511e-24, (7, 4): 2.27373675443e-13, (9, 4): 3.0092655381e-36, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 1.65436122511e-24, }, ]
+42 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.88079096132e-37, (2, 4): 2.06795153138e-25, (7, 4): 5.68434188608e-14, (9, 4): 1.88079096132e-37, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 2.06795153138e-25, }, ]
+43 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.52316384526e-37, (2, 4): 1.65436122511e-24, (7, 4): 2.27373675443e-13, (9, 4): 7.52316384526e-37, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 1.65436122511e-24, }, ]
+44 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.88079096131e-37, (2, 4): 8.27180612553e-25, (7, 4): 2.27373675443e-13, (9, 4): 1.88079096131e-37, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 8.27180612553e-25, }, ]
+45 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.17549435082e-38, (2, 4): 1.03397576569e-25, (7, 4): 5.68434188608e-14, (9, 4): 1.17549435082e-38, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 1.03397576569e-25, }, ]
+46 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.34683969264e-40, (2, 4): 1.29246970711e-26, (7, 4): 1.42108547152e-14, (9, 4): 7.34683969264e-40, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 1.29246970711e-26, }, ]
+47 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.34683969264e-40, (2, 4): 2.58493941423e-26, (7, 4): 5.68434188608e-14, (9, 4): 7.34683969264e-40, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 2.58493941423e-26, }, ]
+48 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 4.5917748079e-41, (2, 4): 3.23117426779e-27, (7, 4): 1.42108547152e-14, (9, 4): 4.5917748079e-41, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 3.23117426779e-27, }, ]
+49 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.14794370197e-41, (2, 4): 1.61558713389e-27, (7, 4): 1.42108547152e-14, (9, 4): 1.14794370197e-41, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 1.61558713389e-27, }, ]
+50 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.83670992316e-40, (2, 4): 1.29246970711e-26, (7, 4): 5.68434188608e-14, (9, 4): 1.83670992316e-40, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 1.29246970711e-26, }, ]
+51 None [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 4.5917748079e-41, (2, 4): 6.46234853557e-27, (7, 4): 5.68434188608e-14, (9, 4): 4.5917748079e-41, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 6.46234853557e-27, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/1-ExactUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/1-ExactUpdate.test
new file mode 100644
index 0000000..6db52f7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/1-ExactUpdate.test	
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+layout: """
+%%%%%%%%%%%
+%   %G%   %
+%%%%%%%%%%%
+%%%%%P%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "50"
+numGhosts: "1"
+
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+errorMsg: "Exact inference stationary pacman observe test: %d inference errors."
+L2Tolerance: "0.0001"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/2-ExactUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/2-ExactUpdate.solution
new file mode 100644
index 0000000..6bb0764
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/2-ExactUpdate.solution	
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.0714285714286, (2, 9): 0.0714285714286, (5, 6): 0.0714285714286, (2, 8): 0.0714285714286, (9, 8): 0.0714285714286, (9, 3): 0.0714285714286, (9, 9): 0.0714285714286, (1, 4): 0.0714285714286, (8, 9): 0.0714285714286, (1, 8): 0.0714285714286, (8, 8): 0.0714285714286, (2, 3): 0.0714285714286, (1, 9): 0.0714285714286, (2, 4): 0.0714285714286, }, ]
+1 Stop [{(1, 3): 0.129032258065, (2, 9): 0.0645161290323, (5, 6): 0.0, (2, 8): 0.0322580645161, (9, 8): 0.0645161290323, (9, 3): 0.129032258065, (9, 9): 0.129032258065, (1, 4): 0.0645161290323, (2, 4): 0.0322580645161, (8, 9): 0.0645161290323, (1, 8): 0.0645161290323, (8, 8): 0.0322580645161, (2, 3): 0.0645161290323, (1, 9): 0.129032258065, (1, 1): 0.0, }, ]
+2 Stop [{(1, 3): 0.0769230769231, (2, 9): 0.0769230769231, (5, 6): 0.0, (2, 8): 0.0769230769231, (9, 8): 0.0769230769231, (9, 3): 0.0769230769231, (9, 9): 0.0769230769231, (1, 4): 0.0769230769231, (2, 4): 0.0769230769231, (8, 9): 0.0769230769231, (1, 8): 0.0769230769231, (8, 8): 0.0769230769231, (2, 3): 0.0769230769231, (1, 9): 0.0769230769231, (1, 1): 0.0, }, ]
+3 Stop [{(1, 3): 0.129032258065, (2, 9): 0.0645161290323, (5, 6): 0.0, (2, 8): 0.0322580645161, (9, 8): 0.0645161290323, (9, 3): 0.129032258065, (9, 9): 0.129032258065, (1, 4): 0.0645161290323, (2, 4): 0.0322580645161, (8, 9): 0.0645161290323, (1, 8): 0.0645161290323, (8, 8): 0.0322580645161, (2, 3): 0.0645161290323, (1, 9): 0.129032258065, (1, 1): 0.0, }, ]
+4 Stop [{(1, 3): 0.175824175824, (2, 9): 0.043956043956, (5, 6): 0.0, (2, 8): 0.010989010989, (9, 8): 0.043956043956, (9, 3): 0.175824175824, (9, 9): 0.175824175824, (1, 4): 0.043956043956, (2, 4): 0.010989010989, (8, 9): 0.043956043956, (1, 8): 0.043956043956, (8, 8): 0.010989010989, (2, 3): 0.043956043956, (1, 9): 0.175824175824, (1, 1): 0.0, }, ]
+5 Stop [{(1, 3): 0.208469055375, (2, 9): 0.0260586319218, (5, 6): 0.0, (2, 8): 0.00325732899023, (9, 8): 0.0260586319218, (9, 3): 0.208469055375, (9, 9): 0.208469055375, (1, 4): 0.0260586319218, (2, 4): 0.00325732899023, (8, 9): 0.0260586319218, (1, 8): 0.0260586319218, (8, 8): 0.00325732899023, (2, 3): 0.0260586319218, (1, 9): 0.208469055375, (1, 1): 0.0, }, ]
+6 Stop [{(1, 3): 0.227960819234, (2, 9): 0.0142475512021, (5, 6): 0.0, (2, 8): 0.000890471950134, (9, 8): 0.0142475512021, (9, 3): 0.227960819234, (9, 9): 0.227960819234, (1, 4): 0.0142475512021, (2, 4): 0.000890471950134, (8, 9): 0.0142475512021, (1, 8): 0.0142475512021, (8, 8): 0.000890471950134, (2, 3): 0.0142475512021, (1, 9): 0.227960819234, (1, 1): 0.0, }, ]
+7 Stop [{(1, 3): 0.208469055375, (2, 9): 0.0260586319218, (5, 6): 0.0, (2, 8): 0.00325732899023, (9, 8): 0.0260586319218, (9, 3): 0.208469055375, (9, 9): 0.208469055375, (1, 4): 0.0260586319218, (2, 4): 0.00325732899023, (8, 9): 0.0260586319218, (1, 8): 0.0260586319218, (8, 8): 0.00325732899023, (2, 3): 0.0260586319218, (1, 9): 0.208469055375, (1, 1): 0.0, }, ]
+8 Stop [{(1, 3): 0.180281690141, (2, 9): 0.0450704225352, (5, 6): 0.0, (2, 8): 0.00281690140845, (9, 8): 0.0450704225352, (9, 3): 0.180281690141, (9, 9): 0.180281690141, (1, 4): 0.0450704225352, (2, 4): 0.00281690140845, (8, 9): 0.0450704225352, (1, 8): 0.0450704225352, (8, 8): 0.00281690140845, (2, 3): 0.0450704225352, (1, 9): 0.180281690141, (1, 1): 0.0, }, ]
+9 Stop [{(1, 3): 0.210008203445, (2, 9): 0.0262510254307, (5, 6): 0.0, (2, 8): 0.000820344544709, (9, 8): 0.0262510254307, (9, 3): 0.210008203445, (9, 9): 0.210008203445, (1, 4): 0.0262510254307, (2, 4): 0.000820344544709, (8, 9): 0.0262510254307, (1, 8): 0.0262510254307, (8, 8): 0.000820344544709, (2, 3): 0.0262510254307, (1, 9): 0.210008203445, (1, 1): 0.0, }, ]
+10 Stop [{(1, 3): 0.180281690141, (2, 9): 0.0450704225352, (5, 6): 0.0, (2, 8): 0.00281690140845, (9, 8): 0.0450704225352, (9, 3): 0.180281690141, (9, 9): 0.180281690141, (1, 4): 0.0450704225352, (2, 4): 0.00281690140845, (8, 9): 0.0450704225352, (1, 8): 0.0450704225352, (8, 8): 0.00281690140845, (2, 3): 0.0450704225352, (1, 9): 0.180281690141, (1, 1): 0.0, }, ]
+11 Stop [{(1, 3): 0.139130434783, (2, 9): 0.0695652173913, (5, 6): 0.0, (2, 8): 0.00869565217391, (9, 8): 0.0695652173913, (9, 3): 0.139130434783, (9, 9): 0.139130434783, (1, 4): 0.0695652173913, (2, 4): 0.00869565217391, (8, 9): 0.0695652173913, (1, 8): 0.0695652173913, (8, 8): 0.00869565217391, (2, 3): 0.0695652173913, (1, 9): 0.139130434783, (1, 1): 0.0, }, ]
+12 Stop [{(1, 3): 0.0981595092025, (2, 9): 0.0981595092025, (5, 6): 0.0, (2, 8): 0.00613496932515, (9, 8): 0.0981595092025, (9, 3): 0.0981595092025, (9, 9): 0.0981595092025, (1, 4): 0.0981595092025, (2, 4): 0.00613496932515, (8, 9): 0.0981595092025, (1, 8): 0.0981595092025, (8, 8): 0.00613496932515, (2, 3): 0.0981595092025, (1, 9): 0.0981595092025, (1, 1): 0.0, }, ]
+13 Stop [{(1, 3): 0.141906873614, (2, 9): 0.0709534368071, (5, 6): 0.0, (2, 8): 0.00221729490022, (9, 8): 0.0709534368071, (9, 3): 0.141906873614, (9, 9): 0.141906873614, (1, 4): 0.0709534368071, (2, 4): 0.00221729490022, (8, 9): 0.0709534368071, (1, 8): 0.0709534368071, (8, 8): 0.00221729490022, (2, 3): 0.0709534368071, (1, 9): 0.141906873614, (1, 1): 0.0, }, ]
+14 Stop [{(1, 3): 0.0981595092025, (2, 9): 0.0981595092025, (5, 6): 0.0, (2, 8): 0.00613496932515, (9, 8): 0.0981595092025, (9, 3): 0.0981595092025, (9, 9): 0.0981595092025, (1, 4): 0.0981595092025, (2, 4): 0.00613496932515, (8, 9): 0.0981595092025, (1, 8): 0.0981595092025, (8, 8): 0.00613496932515, (2, 3): 0.0981595092025, (1, 9): 0.0981595092025, (1, 1): 0.0, }, ]
+15 Stop [{(1, 3): 0.141906873614, (2, 9): 0.0709534368071, (5, 6): 0.0, (2, 8): 0.00221729490022, (9, 8): 0.0709534368071, (9, 3): 0.141906873614, (9, 9): 0.141906873614, (1, 4): 0.0709534368071, (2, 4): 0.00221729490022, (8, 9): 0.0709534368071, (1, 8): 0.0709534368071, (8, 8): 0.00221729490022, (2, 3): 0.0709534368071, (1, 9): 0.141906873614, (1, 1): 0.0, }, ]
+16 Stop [{(1, 3): 0.181431608788, (2, 9): 0.045357902197, (5, 6): 0.0, (2, 8): 0.000708717221828, (9, 8): 0.045357902197, (9, 3): 0.181431608788, (9, 9): 0.181431608788, (1, 4): 0.045357902197, (2, 4): 0.000708717221828, (8, 9): 0.045357902197, (1, 8): 0.045357902197, (8, 8): 0.000708717221828, (2, 3): 0.045357902197, (1, 9): 0.181431608788, (1, 1): 0.0, }, ]
+17 Stop [{(1, 3): 0.210396548182, (2, 9): 0.0262995685227, (5, 6): 0.0, (2, 8): 0.000205465379084, (9, 8): 0.0262995685227, (9, 3): 0.210396548182, (9, 9): 0.210396548182, (1, 4): 0.0262995685227, (2, 4): 0.000205465379084, (8, 9): 0.0262995685227, (1, 8): 0.0262995685227, (8, 8): 0.000205465379084, (2, 3): 0.0262995685227, (1, 9): 0.210396548182, (1, 1): 0.0, }, ]
+18 Stop [{(1, 3): 0.22853316967, (2, 9): 0.0142833231044, (5, 6): 0.0, (2, 8): 5.57942308765e-05, (9, 8): 0.0142833231044, (9, 3): 0.22853316967, (9, 9): 0.22853316967, (1, 4): 0.0142833231044, (2, 4): 5.57942308765e-05, (8, 9): 0.0142833231044, (1, 8): 0.0142833231044, (8, 8): 5.57942308765e-05, (2, 3): 0.0142833231044, (1, 9): 0.22853316967, (1, 1): 0.0, }, ]
+19 Stop [{(1, 3): 0.238795528414, (2, 9): 0.00746236026293, (5, 6): 0.0, (2, 8): 1.45749223885e-05, (9, 8): 0.00746236026293, (9, 3): 0.238795528414, (9, 9): 0.238795528414, (1, 4): 0.00746236026293, (2, 4): 1.45749223885e-05, (8, 9): 0.00746236026293, (1, 8): 0.00746236026293, (8, 8): 1.45749223885e-05, (2, 3): 0.00746236026293, (1, 9): 0.238795528414, (1, 1): 0.0, }, ]
+20 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+21 Stop [{(1, 3): 0.238795528414, (2, 9): 0.00746236026293, (5, 6): 0.0, (2, 8): 1.45749223885e-05, (9, 8): 0.00746236026293, (9, 3): 0.238795528414, (9, 9): 0.238795528414, (1, 4): 0.00746236026293, (2, 4): 1.45749223885e-05, (8, 9): 0.00746236026293, (1, 8): 0.00746236026293, (8, 8): 1.45749223885e-05, (2, 3): 0.00746236026293, (1, 9): 0.238795528414, (1, 1): 0.0, }, ]
+22 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+23 Stop [{(1, 3): 0.247103548324, (2, 9): 0.00193049647128, (5, 6): 0.0, (2, 8): 9.42625230118e-07, (9, 8): 0.00193049647128, (9, 3): 0.247103548324, (9, 9): 0.247103548324, (1, 4): 0.00193049647128, (2, 4): 9.42625230118e-07, (8, 9): 0.00193049647128, (1, 8): 0.00193049647128, (8, 8): 9.42625230118e-07, (2, 3): 0.00193049647128, (1, 9): 0.247103548324, (1, 1): 0.0, }, ]
+24 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+25 Stop [{(1, 3): 0.247103548324, (2, 9): 0.00193049647128, (5, 6): 0.0, (2, 8): 9.42625230118e-07, (9, 8): 0.00193049647128, (9, 3): 0.247103548324, (9, 9): 0.247103548324, (1, 4): 0.00193049647128, (2, 4): 9.42625230118e-07, (8, 9): 0.00193049647128, (1, 8): 0.00193049647128, (8, 8): 9.42625230118e-07, (2, 3): 0.00193049647128, (1, 9): 0.247103548324, (1, 1): 0.0, }, ]
+26 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+27 Stop [{(1, 3): 0.23880335963, (2, 9): 0.00746260498843, (5, 6): 0.0, (2, 8): 3.64385009201e-06, (9, 8): 0.00746260498843, (9, 3): 0.23880335963, (9, 9): 0.23880335963, (1, 4): 0.00746260498843, (2, 4): 3.64385009201e-06, (8, 9): 0.00746260498843, (1, 8): 0.00746260498843, (8, 8): 3.64385009201e-06, (2, 3): 0.00746260498843, (1, 9): 0.23880335963, (1, 1): 0.0, }, ]
+28 Stop [{(1, 3): 0.228561862645, (2, 9): 0.0142851164153, (5, 6): 0.0, (2, 8): 1.39503089993e-05, (9, 8): 0.0142851164153, (9, 3): 0.228561862645, (9, 9): 0.228561862645, (1, 4): 0.0142851164153, (2, 4): 1.39503089993e-05, (8, 9): 0.0142851164153, (1, 8): 0.0142851164153, (8, 8): 1.39503089993e-05, (2, 3): 0.0142851164153, (1, 9): 0.228561862645, (1, 1): 0.0, }, ]
+29 Stop [{(1, 3): 0.23880335963, (2, 9): 0.00746260498843, (5, 6): 0.0, (2, 8): 3.64385009201e-06, (9, 8): 0.00746260498843, (9, 3): 0.23880335963, (9, 9): 0.23880335963, (1, 4): 0.00746260498843, (2, 4): 3.64385009201e-06, (8, 9): 0.00746260498843, (1, 8): 0.00746260498843, (8, 8): 3.64385009201e-06, (2, 3): 0.00746260498843, (1, 9): 0.23880335963, (1, 1): 0.0, }, ]
+30 Stop [{(1, 3): 0.228569037015, (2, 9): 0.0142855648134, (5, 6): 0.0, (2, 8): 3.48768672203e-06, (9, 8): 0.0142855648134, (9, 3): 0.228569037015, (9, 9): 0.228569037015, (1, 4): 0.0142855648134, (2, 4): 3.48768672203e-06, (8, 9): 0.0142855648134, (1, 8): 0.0142855648134, (8, 8): 3.48768672203e-06, (2, 3): 0.0142855648134, (1, 9): 0.228569037015, (1, 1): 0.0, }, ]
+31 Stop [{(1, 3): 0.238805317514, (2, 9): 0.00746266617231, (5, 6): 0.0, (2, 8): 9.10969991738e-07, (9, 8): 0.00746266617231, (9, 3): 0.238805317514, (9, 9): 0.238805317514, (1, 4): 0.00746266617231, (2, 4): 9.10969991738e-07, (8, 9): 0.00746266617231, (1, 8): 0.00746266617231, (8, 8): 9.10969991738e-07, (2, 3): 0.00746266617231, (1, 9): 0.238805317514, (1, 1): 0.0, }, ]
+32 Stop [{(1, 3): 0.228569037015, (2, 9): 0.0142855648134, (5, 6): 0.0, (2, 8): 3.48768672203e-06, (9, 8): 0.0142855648134, (9, 3): 0.228569037015, (9, 9): 0.228569037015, (1, 4): 0.0142855648134, (2, 4): 3.48768672203e-06, (8, 9): 0.0142855648134, (1, 8): 0.0142855648134, (8, 8): 3.48768672203e-06, (2, 3): 0.0142855648134, (1, 9): 0.228569037015, (1, 1): 0.0, }, ]
+33 Stop [{(1, 3): 0.21052428694, (2, 9): 0.0263155358674, (5, 6): 0.0, (2, 8): 3.21234568694e-06, (9, 8): 0.0263155358674, (9, 3): 0.21052428694, (9, 9): 0.21052428694, (1, 4): 0.0263155358674, (2, 4): 3.21234568694e-06, (8, 9): 0.0263155358674, (1, 8): 0.0263155358674, (8, 8): 3.21234568694e-06, (2, 3): 0.0263155358674, (1, 9): 0.21052428694, (1, 1): 0.0, }, ]
+34 Stop [{(1, 3): 0.181816668562, (2, 9): 0.0454541671406, (5, 6): 0.0, (2, 8): 2.77430219364e-06, (9, 8): 0.0454541671406, (9, 3): 0.181816668562, (9, 9): 0.181816668562, (1, 4): 0.0454541671406, (2, 4): 2.77430219364e-06, (8, 9): 0.0454541671406, (1, 8): 0.0454541671406, (8, 8): 2.77430219364e-06, (2, 3): 0.0454541671406, (1, 9): 0.181816668562, (1, 1): 0.0, }, ]
+35 Stop [{(1, 3): 0.142856208652, (2, 9): 0.0714281043258, (5, 6): 0.0, (2, 8): 2.17981275408e-06, (9, 8): 0.0714281043258, (9, 3): 0.142856208652, (9, 9): 0.142856208652, (1, 4): 0.0714281043258, (2, 4): 2.17981275408e-06, (8, 9): 0.0714281043258, (1, 8): 0.0714281043258, (8, 8): 2.17981275408e-06, (2, 3): 0.0714281043258, (1, 9): 0.142856208652, (1, 1): 0.0, }, ]
+36 Stop [{(1, 3): 0.181817803502, (2, 9): 0.0454544508755, (5, 6): 0.0, (2, 8): 6.93579877861e-07, (9, 8): 0.0454544508755, (9, 3): 0.181817803502, (9, 9): 0.181817803502, (1, 4): 0.0454544508755, (2, 4): 6.93579877861e-07, (8, 9): 0.0454544508755, (1, 8): 0.0454544508755, (8, 8): 6.93579877861e-07, (2, 3): 0.0454544508755, (1, 9): 0.181817803502, (1, 1): 0.0, }, ]
+37 Stop [{(1, 3): 0.142856208652, (2, 9): 0.0714281043258, (5, 6): 0.0, (2, 8): 2.17981275408e-06, (9, 8): 0.0714281043258, (9, 3): 0.142856208652, (9, 9): 0.142856208652, (1, 4): 0.0714281043258, (2, 4): 2.17981275408e-06, (8, 9): 0.0714281043258, (1, 8): 0.0714281043258, (8, 8): 2.17981275408e-06, (2, 3): 0.0714281043258, (1, 9): 0.142856208652, (1, 1): 0.0, }, ]
+38 Stop [{(1, 3): 0.181817803502, (2, 9): 0.0454544508755, (5, 6): 0.0, (2, 8): 6.93579877861e-07, (9, 8): 0.0454544508755, (9, 3): 0.181817803502, (9, 9): 0.181817803502, (1, 4): 0.0454544508755, (2, 4): 6.93579877861e-07, (8, 9): 0.0454544508755, (1, 8): 0.0454544508755, (8, 8): 6.93579877861e-07, (2, 3): 0.0454544508755, (1, 9): 0.181817803502, (1, 1): 0.0, }, ]
+39 Stop [{(1, 3): 0.210526188985, (2, 9): 0.0263157736232, (5, 6): 0.0, (2, 8): 2.00773419366e-07, (9, 8): 0.0263157736232, (9, 3): 0.210526188985, (9, 9): 0.210526188985, (1, 4): 0.0263157736232, (2, 4): 2.00773419366e-07, (8, 9): 0.0263157736232, (1, 8): 0.0263157736232, (8, 8): 2.00773419366e-07, (2, 3): 0.0263157736232, (1, 9): 0.210526188985, (1, 1): 0.0, }, ]
+40 Stop [{(1, 3): 0.228571391203, (2, 9): 0.0142857119502, (5, 6): 0.0, (2, 8): 5.44956663139e-08, (9, 8): 0.0142857119502, (9, 3): 0.228571391203, (9, 9): 0.228571391203, (1, 4): 0.0142857119502, (2, 4): 5.44956663139e-08, (8, 9): 0.0142857119502, (1, 8): 0.0142857119502, (8, 8): 5.44956663139e-08, (2, 3): 0.0142857119502, (1, 9): 0.228571391203, (1, 1): 0.0, }, ]
+41 Stop [{(1, 3): 0.210526284088, (2, 9): 0.026315785511, (5, 6): 0.0, (2, 8): 5.01933775159e-08, (9, 8): 0.026315785511, (9, 3): 0.210526284088, (9, 9): 0.210526284088, (1, 4): 0.026315785511, (2, 4): 5.01933775159e-08, (8, 9): 0.026315785511, (1, 8): 0.026315785511, (8, 8): 5.01933775159e-08, (2, 3): 0.026315785511, (1, 9): 0.210526284088, (1, 1): 0.0, }, ]
+42 Stop [{(1, 3): 0.228571419229, (2, 9): 0.0142857137018, (5, 6): 0.0, (2, 8): 1.3623918249e-08, (9, 8): 0.0142857137018, (9, 3): 0.228571419229, (9, 9): 0.228571419229, (1, 4): 0.0142857137018, (2, 4): 1.3623918249e-08, (8, 9): 0.0142857137018, (1, 8): 0.0142857137018, (8, 8): 1.3623918249e-08, (2, 3): 0.0142857137018, (1, 9): 0.228571419229, (1, 1): 0.0, }, ]
+43 Stop [{(1, 3): 0.2388059676, (2, 9): 0.0074626864875, (5, 6): 0.0, (2, 8): 3.55848621726e-09, (9, 8): 0.0074626864875, (9, 3): 0.2388059676, (9, 9): 0.2388059676, (1, 4): 0.0074626864875, (2, 4): 3.55848621726e-09, (8, 9): 0.0074626864875, (1, 8): 0.0074626864875, (8, 8): 3.55848621726e-09, (2, 3): 0.0074626864875, (1, 9): 0.2388059676, (1, 1): 0.0, }, ]
+44 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+45 Stop [{(1, 3): 0.2388059676, (2, 9): 0.0074626864875, (5, 6): 0.0, (2, 8): 3.55848621726e-09, (9, 8): 0.0074626864875, (9, 3): 0.2388059676, (9, 9): 0.2388059676, (1, 4): 0.0074626864875, (2, 4): 3.55848621726e-09, (8, 9): 0.0074626864875, (1, 8): 0.0074626864875, (8, 8): 3.55848621726e-09, (2, 3): 0.0074626864875, (1, 9): 0.2388059676, (1, 1): 0.0, }, ]
+46 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+47 Stop [{(1, 3): 0.247104246934, (2, 9): 0.00193050192917, (5, 6): 0.0, (2, 8): 2.30133763453e-10, (9, 8): 0.00193050192917, (9, 3): 0.247104246934, (9, 9): 0.247104246934, (1, 4): 0.00193050192917, (2, 4): 2.30133763453e-10, (8, 9): 0.00193050192917, (1, 8): 0.00193050192917, (8, 8): 2.30133763453e-10, (2, 3): 0.00193050192917, (1, 9): 0.247104246934, (1, 1): 0.0, }, ]
+48 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+49 Stop [{(1, 3): 0.247104246934, (2, 9): 0.00193050192917, (5, 6): 0.0, (2, 8): 2.30133763453e-10, (9, 8): 0.00193050192917, (9, 3): 0.247104246934, (9, 9): 0.247104246934, (1, 4): 0.00193050192917, (2, 4): 2.30133763453e-10, (8, 9): 0.00193050192917, (1, 8): 0.00193050192917, (8, 8): 2.30133763453e-10, (2, 3): 0.00193050192917, (1, 9): 0.247104246934, (1, 1): 0.0, }, ]
+50 Stop [{(1, 3): 0.248543689277, (2, 9): 0.000970873786239, (5, 6): 0.0, (2, 8): 5.78685871505e-11, (9, 8): 0.000970873786239, (9, 3): 0.248543689277, (9, 9): 0.248543689277, (1, 4): 0.000970873786239, (2, 4): 5.78685871505e-11, (8, 9): 0.000970873786239, (1, 8): 0.000970873786239, (8, 8): 5.78685871505e-11, (2, 3): 0.000970873786239, (1, 9): 0.248543689277, (1, 1): 0.0, }, ]
+51 Stop [{(1, 3): 0.249269717613, (2, 9): 0.000486854917213, (5, 6): 0.0, (2, 8): 1.45094071988e-11, (9, 8): 0.000486854917213, (9, 3): 0.249269717613, (9, 9): 0.249269717613, (1, 4): 0.000486854917213, (2, 4): 1.45094071988e-11, (8, 9): 0.000486854917213, (1, 8): 0.000486854917213, (8, 8): 1.45094071988e-11, (2, 3): 0.000486854917213, (1, 9): 0.249269717613, (1, 1): 0.0, }, ]
+52 Stop [{(1, 3): 0.248543689277, (2, 9): 0.000970873786239, (5, 6): 0.0, (2, 8): 5.78685871505e-11, (9, 8): 0.000970873786239, (9, 3): 0.248543689277, (9, 9): 0.248543689277, (1, 4): 0.000970873786239, (2, 4): 5.78685871505e-11, (8, 9): 0.000970873786239, (1, 8): 0.000970873786239, (8, 8): 5.78685871505e-11, (2, 3): 0.000970873786239, (1, 9): 0.248543689277, (1, 1): 0.0, }, ]
+53 Stop [{(1, 3): 0.249269717613, (2, 9): 0.000486854917213, (5, 6): 0.0, (2, 8): 1.45094071988e-11, (9, 8): 0.000486854917213, (9, 3): 0.249269717613, (9, 9): 0.249269717613, (1, 4): 0.000486854917213, (2, 4): 1.45094071988e-11, (8, 9): 0.000486854917213, (1, 8): 0.000486854917213, (8, 8): 1.45094071988e-11, (2, 3): 0.000486854917213, (1, 9): 0.249269717613, (1, 1): 0.0, }, ]
+54 Stop [{(1, 3): 0.249634324717, (2, 9): 0.000243783520231, (5, 6): 0.0, (2, 8): 3.63265753137e-12, (9, 8): 0.000243783520231, (9, 3): 0.249634324717, (9, 9): 0.249634324717, (1, 4): 0.000243783520231, (2, 4): 3.63265753137e-12, (8, 9): 0.000243783520231, (1, 8): 0.000243783520231, (8, 8): 3.63265753137e-12, (2, 3): 0.000243783520231, (1, 9): 0.249634324717, (1, 1): 0.0, }, ]
+55 Stop [{(1, 3): 0.249817028543, (2, 9): 0.000121980970968, (5, 6): 0.0, (2, 8): 9.0882905549e-13, (9, 8): 0.000121980970968, (9, 3): 0.249817028543, (9, 9): 0.249817028543, (1, 4): 0.000121980970968, (2, 4): 9.0882905549e-13, (8, 9): 0.000121980970968, (1, 8): 0.000121980970968, (8, 8): 9.0882905549e-13, (2, 3): 0.000121980970968, (1, 9): 0.249817028543, (1, 1): 0.0, }, ]
+56 Stop [{(1, 3): 0.249908480781, (2, 9): 6.10128126906e-05, (5, 6): 0.0, (2, 8): 2.27290439198e-13, (9, 8): 6.10128126906e-05, (9, 3): 0.249908480781, (9, 9): 0.249908480781, (1, 4): 6.10128126906e-05, (2, 4): 2.27290439198e-13, (8, 9): 6.10128126906e-05, (1, 8): 6.10128126906e-05, (8, 8): 2.27290439198e-13, (2, 3): 6.10128126906e-05, (1, 9): 0.249908480781, (1, 1): 0.0, }, ]
+57 Stop [{(1, 3): 0.249954232013, (2, 9): 3.05119912125e-05, (5, 6): 0.0, (2, 8): 5.68330124254e-14, (9, 8): 3.05119912125e-05, (9, 3): 0.249954232013, (9, 9): 0.249954232013, (1, 4): 3.05119912125e-05, (2, 4): 5.68330124254e-14, (8, 9): 3.05119912125e-05, (1, 8): 3.05119912125e-05, (8, 8): 5.68330124254e-14, (2, 3): 3.05119912125e-05, (1, 9): 0.249954232013, (1, 1): 0.0, }, ]
+58 Stop [{(1, 3): 0.249977113912, (2, 9): 1.52573922065e-05, (5, 6): 0.0, (2, 8): 1.42095537917e-14, (9, 8): 1.52573922065e-05, (9, 3): 0.249977113912, (9, 9): 0.249977113912, (1, 4): 1.52573922065e-05, (2, 4): 1.42095537917e-14, (8, 9): 1.52573922065e-05, (1, 8): 1.52573922065e-05, (8, 8): 1.42095537917e-14, (2, 3): 1.52573922065e-05, (1, 9): 0.249977113912, (1, 1): 0.0, }, ]
+59 Stop [{(1, 3): 0.249988556432, (2, 9): 7.62904530127e-06, (5, 6): 0.0, (2, 8): 3.55255105592e-15, (9, 8): 7.62904530127e-06, (9, 3): 0.249988556432, (9, 9): 0.249988556432, (1, 4): 7.62904530127e-06, (2, 4): 3.55255105592e-15, (8, 9): 7.62904530127e-06, (1, 8): 7.62904530127e-06, (8, 8): 3.55255105592e-15, (2, 3): 7.62904530127e-06, (1, 9): 0.249988556432, (1, 1): 0.0, }, ]
+60 Stop [{(1, 3): 0.249994278085, (2, 9): 3.81460995613e-06, (5, 6): 0.0, (2, 8): 8.88158091375e-16, (9, 8): 3.81460995613e-06, (9, 3): 0.249994278085, (9, 9): 0.249994278085, (1, 4): 3.81460995613e-06, (2, 4): 8.88158091375e-16, (8, 9): 3.81460995613e-06, (1, 8): 3.81460995613e-06, (8, 8): 8.88158091375e-16, (2, 3): 3.81460995613e-06, (1, 9): 0.249994278085, (1, 1): 0.0, }, ]
+61 Stop [{(1, 3): 0.24999713901, (2, 9): 1.90732680519e-06, (5, 6): 0.0, (2, 8): 2.22042063855e-16, (9, 8): 1.90732680519e-06, (9, 3): 0.24999713901, (9, 9): 0.24999713901, (1, 4): 1.90732680519e-06, (2, 4): 2.22042063855e-16, (8, 9): 1.90732680519e-06, (1, 8): 1.90732680519e-06, (8, 8): 2.22042063855e-16, (2, 3): 1.90732680519e-06, (1, 9): 0.24999713901, (1, 1): 0.0, }, ]
+62 Stop [{(1, 3): 0.249994278085, (2, 9): 3.81460995613e-06, (5, 6): 0.0, (2, 8): 2.22039522844e-16, (9, 8): 3.81460995613e-06, (9, 3): 0.249994278085, (9, 9): 0.249994278085, (1, 4): 3.81460995613e-06, (2, 4): 2.22039522844e-16, (8, 9): 3.81460995613e-06, (1, 8): 3.81460995613e-06, (8, 8): 2.22039522844e-16, (2, 3): 3.81460995613e-06, (1, 9): 0.249994278085, (1, 1): 0.0, }, ]
+63 Stop [{(1, 3): 0.24999713901, (2, 9): 1.90732680519e-06, (5, 6): 0.0, (2, 8): 5.55105159638e-17, (9, 8): 1.90732680519e-06, (9, 3): 0.24999713901, (9, 9): 0.24999713901, (1, 4): 1.90732680519e-06, (2, 4): 5.55105159638e-17, (8, 9): 1.90732680519e-06, (1, 8): 1.90732680519e-06, (8, 8): 5.55105159638e-17, (2, 3): 1.90732680519e-06, (1, 9): 0.24999713901, (1, 1): 0.0, }, ]
+64 Stop [{(1, 3): 0.249998569497, (2, 9): 9.53668859469e-07, (5, 6): 0.0, (2, 8): 1.38777083989e-17, (9, 8): 9.53668859469e-07, (9, 3): 0.249998569497, (9, 9): 0.249998569497, (1, 4): 9.53668859469e-07, (2, 4): 1.38777083989e-17, (8, 9): 9.53668859469e-07, (1, 8): 9.53668859469e-07, (8, 8): 1.38777083989e-17, (2, 3): 9.53668859469e-07, (1, 9): 0.249998569497, (1, 1): 0.0, }, ]
+65 Stop [{(1, 3): 0.249999284746, (2, 9): 4.76835793965e-07, (5, 6): 0.0, (2, 8): 3.46943702581e-18, (9, 8): 4.76835793965e-07, (9, 3): 0.249999284746, (9, 9): 0.249999284746, (1, 4): 4.76835793965e-07, (2, 4): 3.46943702581e-18, (8, 9): 4.76835793965e-07, (1, 8): 4.76835793965e-07, (8, 8): 3.46943702581e-18, (2, 3): 4.76835793965e-07, (1, 9): 0.249999284746, (1, 1): 0.0, }, ]
+66 Stop [{(1, 3): 0.249999642373, (2, 9): 2.38418238042e-07, (5, 6): 0.0, (2, 8): 8.67360497219e-19, (9, 8): 2.38418238042e-07, (9, 3): 0.249999642373, (9, 9): 0.249999642373, (1, 4): 2.38418238042e-07, (2, 4): 8.67360497219e-19, (8, 9): 2.38418238042e-07, (1, 8): 2.38418238042e-07, (8, 8): 8.67360497219e-19, (2, 3): 2.38418238042e-07, (1, 9): 0.249999642373, (1, 1): 0.0, }, ]
+67 Stop [{(1, 3): 0.249999821186, (2, 9): 1.19209204286e-07, (5, 6): 0.0, (2, 8): 2.16840279401e-19, (9, 8): 1.19209204286e-07, (9, 3): 0.249999821186, (9, 9): 0.249999821186, (1, 4): 1.19209204286e-07, (2, 4): 2.16840279401e-19, (8, 9): 1.19209204286e-07, (1, 8): 1.19209204286e-07, (8, 8): 2.16840279401e-19, (2, 3): 1.19209204286e-07, (1, 9): 0.249999821186, (1, 1): 0.0, }, ]
+68 Stop [{(1, 3): 0.249999910593, (2, 9): 5.96046234591e-08, (5, 6): 0.0, (2, 8): 5.42100892372e-20, (9, 8): 5.96046234591e-08, (9, 3): 0.249999910593, (9, 9): 0.249999910593, (1, 4): 5.96046234591e-08, (2, 4): 5.42100892372e-20, (8, 9): 5.96046234591e-08, (1, 8): 5.96046234591e-08, (8, 8): 5.42100892372e-20, (2, 3): 5.96046234591e-08, (1, 9): 0.249999910593, (1, 1): 0.0, }, ]
+69 Stop [{(1, 3): 0.249999955297, (2, 9): 2.98023170586e-08, (5, 6): 0.0, (2, 8): 1.35525247327e-20, (9, 8): 2.98023170586e-08, (9, 3): 0.249999955297, (9, 9): 0.249999955297, (1, 4): 2.98023170586e-08, (2, 4): 1.35525247327e-20, (8, 9): 2.98023170586e-08, (1, 8): 2.98023170586e-08, (8, 8): 1.35525247327e-20, (2, 3): 2.98023170586e-08, (1, 9): 0.249999955297, (1, 1): 0.0, }, ]
+70 Stop [{(1, 3): 0.249999977648, (2, 9): 1.49011598616e-08, (5, 6): 0.0, (2, 8): 3.38813148609e-21, (9, 8): 1.49011598616e-08, (9, 3): 0.249999977648, (9, 9): 0.249999977648, (1, 4): 1.49011598616e-08, (2, 4): 3.38813148609e-21, (8, 9): 1.49011598616e-08, (1, 8): 1.49011598616e-08, (8, 8): 3.38813148609e-21, (2, 3): 1.49011598616e-08, (1, 9): 0.249999977648, (1, 1): 0.0, }, ]
+71 Stop [{(1, 3): 0.249999988824, (2, 9): 7.45058026386e-09, (5, 6): 0.0, (2, 8): 8.47032909389e-22, (9, 8): 7.45058026386e-09, (9, 3): 0.249999988824, (9, 9): 0.249999988824, (1, 4): 7.45058026386e-09, (2, 4): 8.47032909389e-22, (8, 9): 7.45058026386e-09, (1, 8): 7.45058026386e-09, (8, 8): 8.47032909389e-22, (2, 3): 7.45058026386e-09, (1, 9): 0.249999988824, (1, 1): 0.0, }, ]
+72 Stop [{(1, 3): 0.249999994412, (2, 9): 3.7252902152e-09, (5, 6): 0.0, (2, 8): 2.1175823208e-22, (9, 8): 3.7252902152e-09, (9, 3): 0.249999994412, (9, 9): 0.249999994412, (1, 4): 3.7252902152e-09, (2, 4): 2.1175823208e-22, (8, 9): 3.7252902152e-09, (1, 8): 3.7252902152e-09, (8, 8): 2.1175823208e-22, (2, 3): 3.7252902152e-09, (1, 9): 0.249999994412, (1, 1): 0.0, }, ]
+73 Stop [{(1, 3): 0.249999997206, (2, 9): 1.86264512841e-09, (5, 6): 0.0, (2, 8): 5.29395586117e-23, (9, 8): 1.86264512841e-09, (9, 3): 0.249999997206, (9, 9): 0.249999997206, (1, 4): 1.86264512841e-09, (2, 4): 5.29395586117e-23, (8, 9): 1.86264512841e-09, (1, 8): 1.86264512841e-09, (8, 8): 5.29395586117e-23, (2, 3): 1.86264512841e-09, (1, 9): 0.249999997206, (1, 1): 0.0, }, ]
+74 Stop [{(1, 3): 0.249999994412, (2, 9): 3.7252902152e-09, (5, 6): 0.0, (2, 8): 5.29395580201e-23, (9, 8): 3.7252902152e-09, (9, 3): 0.249999994412, (9, 9): 0.249999994412, (1, 4): 3.7252902152e-09, (2, 4): 5.29395580201e-23, (8, 9): 3.7252902152e-09, (1, 8): 3.7252902152e-09, (8, 8): 5.29395580201e-23, (2, 3): 3.7252902152e-09, (1, 9): 0.249999994412, (1, 1): 0.0, }, ]
+75 Stop [{(1, 3): 0.249999997206, (2, 9): 1.86264512841e-09, (5, 6): 0.0, (2, 8): 1.32348896529e-23, (9, 8): 1.86264512841e-09, (9, 3): 0.249999997206, (9, 9): 0.249999997206, (1, 4): 1.86264512841e-09, (2, 4): 1.32348896529e-23, (8, 9): 1.86264512841e-09, (1, 8): 1.86264512841e-09, (8, 8): 1.32348896529e-23, (2, 3): 1.86264512841e-09, (1, 9): 0.249999997206, (1, 1): 0.0, }, ]
+76 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 3.30872243172e-24, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 3.30872243172e-24, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 3.30872243172e-24, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+77 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 8.27180610242e-25, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 8.27180610242e-25, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 8.27180610242e-25, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+78 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 8.27180607931e-25, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 8.27180607931e-25, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 8.27180607931e-25, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+79 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 2.0679515256e-25, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 2.0679515256e-25, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 2.0679515256e-25, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+80 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 5.16987882123e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 5.16987882123e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 5.16987882123e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+81 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 5.16987881401e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 5.16987881401e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 5.16987881401e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+82 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 1.29246970531e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 1.29246970531e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 1.29246970531e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+83 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 5.16987881401e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 5.16987881401e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 5.16987881401e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+84 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 1.29246970531e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 1.29246970531e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 1.29246970531e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+85 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 3.23117426553e-27, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 3.23117426553e-27, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 3.23117426553e-27, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+86 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 3.23117426327e-27, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 3.23117426327e-27, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 3.23117426327e-27, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+87 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 1.2924697035e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 1.2924697035e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 1.2924697035e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+88 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 3.23117426327e-27, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 3.23117426327e-27, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 3.23117426327e-27, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+89 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 8.07793566382e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 8.07793566382e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 8.07793566382e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+90 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+91 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 3.23117425876e-27, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 3.23117425876e-27, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 3.23117425876e-27, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+92 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 1.29246969989e-26, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 1.29246969989e-26, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 1.29246969989e-26, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+93 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 3.23117425876e-27, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 3.23117425876e-27, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 3.23117425876e-27, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+94 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+95 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+96 Stop [{(1, 3): 0.249999999913, (2, 9): 5.82076608931e-11, (5, 6): 0.0, (2, 8): 5.04870979165e-29, (9, 8): 5.82076608931e-11, (9, 3): 0.249999999913, (9, 9): 0.249999999913, (1, 4): 5.82076608931e-11, (2, 4): 5.04870979165e-29, (8, 9): 5.82076608931e-11, (1, 8): 5.82076608931e-11, (8, 8): 5.04870979165e-29, (2, 3): 5.82076608931e-11, (1, 9): 0.249999999913, (1, 1): 0.0, }, ]
+97 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+98 Stop [{(1, 3): 0.249999999913, (2, 9): 5.82076608931e-11, (5, 6): 0.0, (2, 8): 5.04870979165e-29, (9, 8): 5.82076608931e-11, (9, 3): 0.249999999913, (9, 9): 0.249999999913, (1, 4): 5.82076608931e-11, (2, 4): 5.04870979165e-29, (8, 9): 5.82076608931e-11, (1, 8): 5.82076608931e-11, (8, 8): 5.04870979165e-29, (2, 3): 5.82076608931e-11, (1, 9): 0.249999999913, (1, 1): 0.0, }, ]
+99 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+100 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+101 None [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/2-ExactUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/2-ExactUpdate.test
new file mode 100644
index 0000000..b359c88
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/2-ExactUpdate.test	
@@ -0,0 +1,30 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+layout: """
+%%%%%%%%%%%
+%  %%%%%  %
+%  %%%%%  %
+%%%%%%%%%%%
+%%%%%P%%%%%
+%%%%%%%%%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+numGhosts: "1"
+
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+errorMsg: "Exact inference stationary pacman observe test: %d inference errors."
+L2Tolerance: "0.0001"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/3-ExactUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/3-ExactUpdate.solution
new file mode 100644
index 0000000..80e243f
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/3-ExactUpdate.solution	
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(4, 7): 0.0454545454545, (1, 3): 0.0454545454545, (6, 6): 0.0454545454545, (5, 6): 0.0454545454545, (2, 8): 0.0454545454545, (9, 8): 0.0454545454545, (8, 9): 0.0454545454545, (6, 7): 0.0454545454545, (5, 5): 0.0454545454545, (2, 9): 0.0454545454545, (4, 5): 0.0454545454545, (9, 3): 0.0454545454545, (1, 4): 0.0454545454545, (2, 3): 0.0454545454545, (1, 9): 0.0454545454545, (6, 5): 0.0454545454545, (4, 6): 0.0454545454545, (5, 7): 0.0454545454545, (9, 9): 0.0454545454545, (1, 8): 0.0454545454545, (8, 8): 0.0454545454545, (2, 4): 0.0454545454545, }, ]
+1 South [{(4, 7): 0.00393700787402, (1, 3): 0.125984251969, (6, 6): 0.00196850393701, (5, 6): 0.0, (2, 8): 0.0314960629921, (9, 8): 0.0629921259843, (8, 9): 0.0629921259843, (6, 7): 0.00393700787402, (5, 5): 0.00196850393701, (2, 9): 0.0629921259843, (1, 1): 0.0, (4, 5): 0.00393700787402, (9, 3): 0.125984251969, (1, 4): 0.0629921259843, (2, 3): 0.0629921259843, (1, 9): 0.125984251969, (6, 5): 0.00393700787402, (4, 6): 0.00196850393701, (5, 7): 0.00196850393701, (9, 9): 0.125984251969, (1, 8): 0.0629921259843, (8, 8): 0.0314960629921, (2, 4): 0.0314960629921, }, ]
+2 East [{(4, 7): 0.00864164191196, (1, 3): 0.138266270591, (6, 6): 0.00216041047799, (5, 6): 0.0, (2, 8): 0.0345665676479, (9, 8): 0.0345665676479, (8, 9): 0.0345665676479, (6, 7): 0.00864164191196, (5, 5): 0.0, (2, 9): 0.0345665676479, (1, 1): 0.0, (4, 5): 0.00418579530111, (9, 3): 0.138266270591, (1, 4): 0.138266270591, (2, 3): 0.138266270591, (1, 9): 0.0345665676479, (6, 5): 0.00418579530111, (4, 6): 0.00216041047799, (5, 7): 0.00216041047799, (9, 9): 0.0345665676479, (1, 8): 0.0345665676479, (8, 8): 0.0345665676479, (2, 4): 0.138266270591, }, ]
+3 West [{(4, 7): 0.00214745283573, (1, 3): 0.274873962973, (6, 6): 0.000100661851675, (5, 6): 0.0, (2, 8): 0.0687184907433, (9, 8): 0.0343592453717, (8, 9): 0.0343592453717, (6, 7): 0.000536863208932, (5, 5): 0.0, (2, 9): 0.0343592453717, (1, 1): 0.0, (4, 5): 0.000260043116826, (9, 3): 0.0687184907433, (1, 4): 0.137436981487, (2, 3): 0.137436981487, (1, 9): 0.0171796226858, (6, 5): 0.0, (4, 6): 0.000268431604466, (5, 7): 0.000268431604466, (9, 9): 0.0687184907433, (1, 8): 0.0343592453717, (8, 8): 0.0171796226858, (2, 4): 0.0687184907433, }, ]
+4 East [{(4, 7): 0.000223143123433, (1, 3): 0.228498558395, (6, 6): 5.22991695546e-06, (5, 6): 0.0, (2, 8): 0.0571246395988, (9, 8): 0.0571246395988, (8, 9): 0.0571246395988, (6, 7): 5.57857808582e-05, (5, 5): 0.0, (2, 9): 0.0571246395988, (1, 1): 0.0, (4, 5): 6.7553094008e-06, (9, 3): 0.0571246395988, (1, 4): 0.0571246395988, (2, 3): 0.0571246395988, (1, 9): 0.0571246395988, (6, 5): 0.0, (4, 6): 1.39464452145e-05, (5, 7): 1.39464452145e-05, (9, 9): 0.228498558395, (1, 8): 0.0571246395988, (8, 8): 0.0142811598997, (2, 4): 0.0142811598997, }, ]
+5 North [{(4, 7): 0.000322046872051, (1, 3): 0.16488799849, (6, 6): 1.76905630399e-06, (5, 6): 0.0, (2, 8): 0.0412219996225, (9, 8): 0.082443999245, (8, 9): 0.082443999245, (6, 7): 2.01279295032e-05, (5, 5): 0.0, (2, 9): 0.0206109998113, (1, 1): 0.0, (4, 5): 2.43736646328e-06, (9, 3): 0.16488799849, (1, 4): 0.082443999245, (2, 3): 0.082443999245, (1, 9): 0.0103054999056, (6, 5): 0.0, (4, 6): 1.00639647516e-05, (5, 7): 1.00639647516e-05, (9, 9): 0.16488799849, (1, 8): 0.0206109998113, (8, 8): 0.0412219996225, (2, 4): 0.0412219996225, }, ]
+6 South [{(4, 7): 3.68499725789e-05, (1, 3): 0.150937487683, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0377343719208, (9, 8): 0.0377343719208, (8, 9): 0.0377343719208, (6, 7): 8.63671232318e-07, (5, 5): 0.0, (2, 9): 0.0377343719208, (1, 1): 0.0, (4, 5): 2.78893835436e-07, (9, 3): 0.150937487683, (1, 4): 0.150937487683, (2, 3): 0.150937487683, (1, 9): 0.0094335929802, (6, 5): 0.0, (4, 6): 5.75780821545e-07, (5, 7): 5.75780821545e-07, (9, 9): 0.150937487683, (1, 8): 0.0377343719208, (8, 8): 0.0094335929802, (2, 4): 0.0377343719208, }, ]
+7 Stop [{(4, 7): 0.000152973182823, (1, 3): 0.0783222696052, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0195805674013, (9, 8): 0.0391611348026, (8, 9): 0.0391611348026, (6, 7): 3.5853089724e-06, (5, 5): 0.0, (2, 9): 0.00979028370064, (1, 1): 0.0, (4, 5): 1.15775602234e-06, (9, 3): 0.313289078421, (1, 4): 0.15664453921, (2, 3): 0.15664453921, (1, 9): 0.00122378546258, (6, 5): 0.0, (4, 6): 4.78041196321e-06, (5, 7): 4.78041196321e-06, (9, 9): 0.0783222696052, (1, 8): 0.00979028370064, (8, 8): 0.0195805674013, (2, 4): 0.0783222696052, }, ]
+8 North [{(4, 7): 0.00046788244328, (1, 3): 0.0299444763699, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00748611909247, (9, 8): 0.0299444763699, (8, 9): 0.0299444763699, (6, 7): 2.74149869109e-06, (5, 5): 0.0, (2, 9): 0.00187152977312, (1, 1): 0.0, (4, 5): 8.85275618998e-07, (9, 3): 0.479111621918, (1, 4): 0.11977790548, (2, 3): 0.11977790548, (1, 9): 0.00011697061082, (6, 5): 0.0, (4, 6): 7.31066317624e-06, (5, 7): 7.31066317624e-06, (9, 9): 0.0299444763699, (1, 8): 0.00187152977312, (8, 8): 0.0299444763699, (2, 4): 0.11977790548, }, ]
+9 South [{(4, 7): 4.9127930802e-05, (1, 3): 0.0251535005706, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00628837514265, (9, 8): 0.0125767502853, (8, 9): 0.0125767502853, (6, 7): 1.07947113579e-07, (5, 5): 0.0, (2, 9): 0.00314418757133, (1, 1): 0.0, (4, 5): 9.29544589149e-08, (9, 3): 0.40245600913, (1, 4): 0.201228004565, (2, 3): 0.201228004565, (1, 9): 9.8255861604e-05, (6, 5): 0.0, (4, 6): 3.83811959391e-07, (5, 7): 3.83811959391e-07, (9, 9): 0.0251535005706, (1, 8): 0.00314418757133, (8, 8): 0.00628837514265, (2, 4): 0.100614002282, }, ]
+10 West [{(4, 7): 0.000133101778699, (1, 3): 0.00851851383675, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00212962845919, (9, 8): 0.00851851383675, (8, 9): 0.00851851383675, (6, 7): 1.16983985185e-06, (5, 5): 0.0, (2, 9): 0.000532407114797, (1, 1): 0.0, (4, 5): 1.00736209465e-06, (9, 3): 0.545184885552, (1, 4): 0.136296221388, (2, 3): 0.136296221388, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 2.07971529218e-06, (5, 7): 2.07971529218e-06, (9, 9): 0.00851851383675, (1, 8): 0.000532407114797, (8, 8): 0.00851851383675, (2, 4): 0.136296221388, }, ]
+11 East [{(4, 7): 0.00015976921452, (1, 3): 0.00511261486465, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00127815371616, (9, 8): 0.00255630743232, (8, 9): 0.00255630743232, (6, 7): 1.40422161199e-06, (5, 5): 0.0, (2, 9): 0.00015976921452, (1, 1): 0.0, (4, 5): 5.85701809517e-07, (9, 3): 0.327207351338, (1, 4): 0.163603675669, (2, 3): 0.163603675669, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 1.24819698844e-06, (5, 7): 1.24819698844e-06, (9, 9): 0.00127815371616, (1, 8): 0.00015976921452, (8, 8): 0.00511261486465, (2, 4): 0.327207351338, }, ]
+12 North [{(4, 7): 0.000385931123825, (1, 3): 0.0015437244953, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000385931123825, (9, 8): 0.0015437244953, (8, 9): 0.0015437244953, (6, 7): 8.47993191999e-07, (5, 5): 0.0, (2, 9): 2.41206952391e-05, (1, 1): 0.0, (4, 5): 3.53698549267e-07, (9, 3): 0.395193470797, (1, 4): 0.0987983676992, (2, 3): 0.0987983676992, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 1.50754345244e-06, (5, 7): 1.50754345244e-06, (9, 9): 0.000385931123825, (1, 8): 2.41206952391e-05, (8, 8): 0.0061748979812, (2, 4): 0.395193470797, }, ]
+13 West [{(4, 7): 4.05005779962e-05, (1, 3): 0.00129601849588, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00032400462397, (9, 8): 0.00064800924794, (8, 9): 0.00064800924794, (6, 7): 3.33714479339e-08, (5, 5): 0.0, (2, 9): 4.05005779962e-05, (1, 1): 0.0, (4, 5): 3.71180109543e-08, (9, 3): 0.331780734945, (1, 4): 0.165890367473, (2, 3): 0.165890367473, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 7.91026913989e-08, (5, 7): 7.91026913989e-08, (9, 9): 0.00032400462397, (1, 8): 4.05005779962e-05, (8, 8): 0.00129601849588, (2, 4): 0.331780734945, }, ]
+14 Stop [{(4, 7): 0.000555126164104, (1, 3): 0.000555126164104, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000555126164104, (9, 8): 0.000555126164104, (8, 9): 0.000555126164104, (6, 7): 4.57409864222e-07, (5, 5): 0.0, (2, 9): 3.46953852565e-05, (1, 1): 0.0, (4, 5): 5.08762592034e-07, (9, 3): 0.142112298011, (1, 4): 0.142112298011, (2, 3): 0.142112298011, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 4.31998205098e-06, (5, 7): 4.31998205098e-06, (9, 9): 0.000138781541026, (1, 8): 3.46953852565e-05, (8, 8): 0.00222050465642, (2, 4): 0.568449192043, }, ]
+15 West [{(4, 7): 4.05005652565e-05, (1, 3): 0.00129601808821, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000324004522052, (9, 8): 0.000648009044104, (8, 9): 0.000648009044104, (6, 7): 3.33714374367e-08, (5, 5): 0.0, (2, 9): 4.05005652565e-05, (1, 1): 0.0, (4, 5): 3.71179992786e-08, (9, 3): 0.331780630581, (1, 4): 0.165890315291, (2, 3): 0.165890315291, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 2.36381015177e-07, (5, 7): 2.36381015177e-07, (9, 9): 0.000324004522052, (1, 8): 4.05005652565e-05, (8, 8): 0.00129601808821, (2, 4): 0.331780630581, }, ]
+16 Stop [{(4, 7): 7.99743432144e-07, (1, 3): 0.000818937274515, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.11835796572e-05, (9, 8): 0.000818937274515, (8, 9): 0.000818937274515, (6, 7): 2.6358731284e-09, (5, 5): 0.0, (2, 9): 1.27958949143e-05, (1, 1): 0.0, (4, 5): 7.32949674883e-10, (9, 3): 0.838591769103, (1, 4): 0.052411985569, (2, 3): 0.052411985569, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 9.33538399643e-09, (9, 9): 0.000818937274515, (1, 8): 1.27958949143e-05, (8, 8): 0.000818937274515, (2, 4): 0.052411985569, }, ]
+17 Stop [{(4, 7): 7.29033685408e-09, (1, 3): 0.000238889758034, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 3.73265246929e-06, (9, 8): 0.000477779516069, (8, 9): 0.000477779516069, (6, 7): 9.61128393848e-11, (5, 5): 0.0, (2, 9): 1.86632623464e-06, (1, 1): 0.0, (4, 5): 6.68145534207e-12, (9, 3): 0.978492448909, (1, 4): 0.0076444722571, (2, 3): 0.0076444722571, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 1.70199819744e-10, (9, 9): 0.000955559032137, (1, 8): 1.86632623464e-06, (8, 8): 0.000238889758034, (2, 4): 0.00382223612855, }, ]
+18 East [{(4, 7): 5.79881817339e-11, (1, 3): 6.08050156498e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 2.37519592382e-07, (9, 8): 0.000243220062599, (8, 9): 0.000243220062599, (6, 7): 3.05797052113e-12, (5, 5): 0.0, (2, 9): 2.37519592382e-07, (1, 1): 0.0, (4, 5): 5.31450678313e-14, (9, 3): 0.996229376407, (1, 4): 0.000972880250398, (2, 3): 0.000972880250398, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 2.70757806558e-12, (9, 9): 0.000972880250398, (1, 8): 2.37519592382e-07, (8, 8): 6.08050156498e-05, (2, 4): 0.000243220062599, }, ]
+19 South [{(4, 7): 1.8147521519e-12, (1, 3): 6.08929776778e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.94657985135e-08, (9, 8): 0.000121785955356, (8, 9): 0.000121785955356, (6, 7): 9.56998205104e-14, (5, 5): 0.0, (2, 9): 1.18931597027e-07, (1, 1): 0.0, (4, 5): 1.66318589971e-15, (9, 3): 0.997670546273, (1, 4): 0.000487143821422, (2, 3): 0.000487143821422, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 4.23671080384e-14, (9, 9): 0.000974287642845, (1, 8): 1.18931597027e-07, (8, 8): 1.52232444194e-05, (2, 4): 6.08929776778e-05, }, ]
+20 West [{(4, 7): 2.26248113325e-13, (1, 3): 6.07330154695e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.93095854195e-08, (9, 8): 0.000242932061878, (8, 9): 0.000242932061878, (6, 7): 1.19310528511e-14, (5, 5): 0.0, (2, 9): 2.37238341678e-07, (1, 1): 0.0, (4, 5): 5.18380253089e-17, (9, 3): 0.995049725453, (1, 4): 0.000242932061878, (2, 3): 0.000242932061878, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 2.64098826132e-15, (9, 9): 0.00388691299005, (1, 8): 2.37238341678e-07, (8, 8): 1.51832538674e-05, (2, 4): 1.51832538674e-05, }, ]
+21 North [{(4, 7): 4.52283050598e-13, (1, 3): 0.000242817613857, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 2.37126576032e-07, (9, 8): 0.000121408806928, (8, 9): 0.000121408806928, (6, 7): 9.54034559856e-14, (5, 5): 0.0, (2, 9): 4.74253152064e-07, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.994580946357, (1, 4): 0.00194254091085, (2, 3): 0.00194254091085, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 1.05589762484e-14, (9, 9): 0.000971270455427, (1, 8): 4.74253152064e-07, (8, 8): 1.5176100866e-05, (2, 4): 6.07044034642e-05, }, ]
+22 East [{(4, 7): 0.0, (1, 3): 6.09344995784e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.09344995784e-05, (8, 9): 6.09344995784e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.95063472445e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998350841092, (1, 4): 0.000243737998314, (2, 3): 0.000243737998314, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000974951993254, (1, 8): 5.95063472445e-08, (8, 8): 3.80840622365e-06, (2, 4): 0.0, }, ]
+23 East [{(4, 7): 0.0, (1, 3): 6.09532480849e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.04766240424e-05, (8, 9): 3.04766240424e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.97623281665e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998658016623, (1, 4): 0.00012190649617, (2, 3): 0.00012190649617, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000975251969358, (1, 8): 2.97623281665e-08, (8, 8): 9.52394501327e-07, (2, 4): 0.0, }, ]
+24 South [{(4, 7): 0.0, (1, 3): 1.52398945435e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.0959578174e-05, (8, 9): 6.0959578174e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.48827095151e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998761728803, (1, 4): 6.0959578174e-05, (2, 3): 6.0959578174e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000975353250784, (1, 8): 1.48827095151e-08, (8, 8): 3.80997363588e-06, (2, 4): 0.0, }, ]
+25 West [{(4, 7): 0.0, (1, 3): 1.52361796059e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 0.000121889436847, (8, 9): 0.000121889436847, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.43954082321e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998518266654, (1, 4): 0.000121889436847, (2, 3): 0.000121889436847, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.00097511549478, (1, 8): 7.43954082321e-09, (8, 8): 3.80904490148e-06, (2, 4): 0.0, }, ]
+26 Stop [{(4, 7): 0.0, (1, 3): 1.52454710287e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.0981884115e-05, (8, 9): 6.0981884115e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.72203882538e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99912718934, (1, 4): 0.00024392753646, (2, 3): 0.00024392753646, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.00024392753646, (1, 8): 3.72203882538e-09, (8, 8): 3.81136775719e-06, (2, 4): 0.0, }, ]
+27 East [{(4, 7): 0.0, (1, 3): 1.52417532022e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.04835064043e-05, (8, 9): 3.04835064043e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.86056557644e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998883537857, (1, 4): 0.000487736102469, (2, 3): 0.000487736102469, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 6.09670128086e-05, (1, 8): 1.86056557644e-09, (8, 8): 3.81043830054e-06, (2, 4): 0.0, }, ]
+28 West [{(4, 7): 0.0, (1, 3): 3.81263201061e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52505280424e-05, (8, 9): 1.52505280424e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.32704590491e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999458605789, (1, 4): 0.000244008448679, (2, 3): 0.000244008448679, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52505280424e-05, (1, 8): 2.32704590491e-10, (8, 8): 3.81263201061e-06, (2, 4): 0.0, }, ]
+29 Stop [{(4, 7): 0.0, (1, 3): 3.81344620779e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05075696623e-05, (8, 9): 3.05075696623e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.65508570287e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999672042695, (1, 4): 0.000122030278649, (2, 3): 0.000122030278649, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52537848312e-05, (1, 8): 4.65508570287e-10, (8, 8): 3.81344620779e-06, (2, 4): 0.0, }, ]
+30 West [{(4, 7): 0.0, (1, 3): 3.8126756196e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52507024784e-05, (8, 9): 1.52507024784e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.32707252173e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999470037623, (1, 4): 0.000244011239654, (2, 3): 0.000244011239654, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.8126756196e-06, (1, 8): 2.32707252173e-10, (8, 8): 3.8126756196e-06, (2, 4): 0.0, }, ]
+31 East [{(4, 7): 0.0, (1, 3): 9.53538820727e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05132422633e-05, (8, 9): 3.05132422633e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.16398781827e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999857922483, (1, 4): 3.05132422633e-05, (2, 3): 3.05132422633e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52566211316e-05, (1, 8): 1.16398781827e-10, (8, 8): 3.81415528291e-06, (2, 4): 0.0, }, ]
+32 East [{(4, 7): 0.0, (1, 3): 9.53520636459e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52563301834e-05, (8, 9): 1.52563301834e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.81982810339e-11, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999838854896, (1, 4): 6.10253207334e-05, (2, 3): 6.10253207334e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.81408254584e-06, (1, 8): 5.81982810339e-11, (8, 8): 3.81408254584e-06, (2, 4): 0.0, }, ]
+33 West [{(4, 7): 0.0, (1, 3): 2.38399197068e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.62877430618e-06, (8, 9): 7.62877430618e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.27536612146e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999918705859, (1, 4): 3.05150972247e-05, (2, 3): 3.05150972247e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.53596788272e-07, (1, 8): 7.27536612146e-12, (8, 8): 3.81438715309e-06, (2, 4): 0.0, }, ]
+34 North [{(4, 7): 0.0, (1, 3): 2.38386637378e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81418619805e-06, (8, 9): 3.81418619805e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.63749141507e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999866026703, (1, 4): 6.10269791689e-05, (2, 3): 6.10269791689e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38386637378e-07, (1, 8): 3.63749141507e-12, (8, 8): 3.81418619805e-06, (2, 4): 0.0, }, ]
+35 West [{(4, 7): 0.0, (1, 3): 2.3835572685e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.62738325921e-06, (8, 9): 7.62738325921e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.2740395157e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999736378552, (1, 4): 0.000122038132147, (2, 3): 0.000122038132147, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.3835572685e-07, (1, 8): 7.2740395157e-12, (8, 8): 3.81369162961e-06, (2, 4): 0.0, }, ]
+36 North [{(4, 7): 0.0, (1, 3): 5.96022965241e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81454697754e-06, (8, 9): 3.81454697754e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.09458870301e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99996060288, (1, 4): 1.52581879102e-05, (2, 3): 1.52581879102e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38409186096e-07, (1, 8): 9.09458870301e-13, (8, 8): 9.53636744385e-07, (2, 4): 0.0, }, ]
+37 East [{(4, 7): 0.0, (1, 3): 2.38344648745e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05081150393e-05, (8, 9): 3.05081150393e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.81842535969e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999689913608, (1, 4): 0.000122032460157, (2, 3): 0.000122032460157, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.53378594979e-07, (1, 8): 1.81842535969e-12, (8, 8): 3.81351437991e-06, (2, 4): 0.0, }, ]
+38 South [{(4, 7): 0.0, (1, 3): 2.38387489806e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81419983689e-06, (8, 9): 3.81419983689e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.2734402638e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999869602043, (1, 4): 6.10271973903e-05, (2, 3): 6.10271973903e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38387489806e-07, (1, 8): 2.2734402638e-13, (8, 8): 2.38387489806e-07, (2, 4): 0.0, }, ]
+39 East [{(4, 7): 0.0, (1, 3): 2.38402990813e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.90722392651e-06, (8, 9): 1.90722392651e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.13679404646e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99993461798, (1, 4): 3.05155828241e-05, (2, 3): 3.05155828241e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38402990813e-07, (1, 8): 1.13679404646e-13, (8, 8): 5.96007477033e-08, (2, 4): 0.0, }, ]
+40 West [{(4, 7): 0.0, (1, 3): 2.38388906977e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.53555627909e-07, (8, 9): 9.53555627909e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.273453779e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999875546091, (1, 4): 6.10275601862e-05, (2, 3): 6.10275601862e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38388906977e-07, (1, 8): 2.273453779e-13, (8, 8): 1.48993066861e-08, (2, 4): 0.0, }, ]
+41 Stop [{(4, 7): 0.0, (1, 3): 2.38359359419e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.90687487535e-06, (8, 9): 1.90687487535e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.54634398306e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999751614649, (1, 4): 0.000122039992023, (2, 3): 0.000122039992023, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38359359419e-07, (1, 8): 4.54634398306e-13, (8, 8): 1.48974599637e-08, (2, 4): 0.0, }, ]
+42 North [{(4, 7): 0.0, (1, 3): 2.38388909641e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.53555638565e-07, (8, 9): 9.53555638565e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.27345380441e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999875557264, (1, 4): 6.10275608682e-05, (2, 3): 6.10275608682e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38388909641e-07, (1, 8): 2.27345380441e-13, (8, 8): 3.72482671314e-09, (2, 4): 0.0, }, ]
+43 South [{(4, 7): 0.0, (1, 3): 2.38403900137e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.19201950068e-07, (8, 9): 1.19201950068e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.84199595615e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99993843196, (1, 4): 3.05156992175e-05, (2, 3): 3.05156992175e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96009750342e-08, (1, 8): 2.84199595615e-14, (8, 8): 2.32816308727e-10, (2, 4): 0.0, }, ]
+44 South [{(4, 7): 0.0, (1, 3): 2.38411203882e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.96028009706e-08, (8, 9): 5.96028009706e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.42104151179e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969066088, (1, 4): 1.52583170485e-05, (2, 3): 1.52583170485e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96028009706e-08, (1, 8): 1.42104151179e-14, (8, 8): 5.82058603228e-11, (2, 4): 0.0, }, ]
+45 North [{(4, 7): 0.0, (1, 3): 2.38403953463e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98004941828e-08, (8, 9): 2.98004941828e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.1049914796e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999938655625, (1, 4): 3.05157060432e-05, (2, 3): 3.05157060432e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49002470914e-08, (1, 8): 7.1049914796e-15, (8, 8): 5.82040902009e-11, (2, 4): 0.0, }, ]
+46 South [{(4, 7): 0.0, (1, 3): 2.38411235865e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49007022416e-08, (8, 9): 1.49007022416e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.55260425605e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969200234, (1, 4): 1.52583190954e-05, (2, 3): 1.52583190954e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49007022416e-08, (1, 8): 3.55260425605e-15, (8, 8): 1.45514670328e-11, (2, 4): 0.0, }, ]
+47 North [{(4, 7): 0.0, (1, 3): 2.38414855912e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.9801856989e-08, (8, 9): 2.9801856989e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.10531639791e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999984383812, (1, 4): 7.62927538919e-06, (2, 3): 7.62927538919e-06, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96037139781e-08, (1, 8): 7.10531639791e-15, (8, 8): 1.45516879829e-11, (2, 4): 0.0, }, ]
+48 West [{(4, 7): 0.0, (1, 3): 2.38411203882e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.96028009706e-08, (8, 9): 5.96028009706e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.42104151179e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969066088, (1, 4): 1.52583170485e-05, (2, 3): 1.52583170485e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96028009706e-08, (1, 8): 1.42104151179e-14, (8, 8): 5.82058603228e-11, (2, 4): 0.0, }, ]
+49 Stop [{(4, 7): 0.0, (1, 3): 5.96044067437e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98022033718e-08, (8, 9): 2.98022033718e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.7763497455e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99999600649, (1, 4): 1.9073410158e-06, (2, 3): 1.9073410158e-06, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96044067437e-08, (1, 8): 1.7763497455e-15, (8, 8): 1.45518571152e-11, (2, 4): 0.0, }, ]
+50 South [{(4, 7): 0.0, (1, 3): 1.49011525341e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49011525341e-08, (8, 9): 1.49011525341e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.22044475884e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999418851, (1, 4): 2.38418440545e-07, (2, 3): 2.38418440545e-07, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96046101362e-08, (1, 8): 2.22044475884e-16, (8, 8): 3.63797669289e-12, (2, 4): 0.0, }, ]
+51 Stop [{(4, 7): 0.0, (1, 3): 3.72528961844e-09, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98023169475e-08, (8, 9): 2.98023169475e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.11022282196e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999817457, (1, 4): 2.98023169475e-08, (2, 3): 2.98023169475e-08, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.9604633895e-08, (1, 8): 1.11022282196e-16, (8, 8): 3.637978143e-12, (2, 4): 0.0, }, ]
+52 Stop [{(4, 7): 0.0, (1, 3): 1.49011585293e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49011585293e-08, (8, 9): 1.49011585293e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.2204456522e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999821182, (1, 4): 5.9604634117e-08, (2, 3): 5.9604634117e-08, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49011585293e-08, (1, 8): 2.2204456522e-16, (8, 8): 3.63797815656e-12, (2, 4): 0.0, }, ]
+53 Stop [{(4, 7): 0.0, (1, 3): 3.72528978497e-09, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98023182798e-08, (8, 9): 2.98023182798e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.11022287159e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999862161, (1, 4): 7.45057956994e-09, (2, 3): 7.45057956994e-09, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96046365595e-08, (1, 8): 1.11022287159e-16, (8, 8): 3.63797830564e-12, (2, 4): 0.0, }, ]
+54 North [{(4, 7): 0.0, (1, 3): 9.31322530377e-10, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.4901160486e-08, (8, 9): 1.4901160486e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.55111485944e-17, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999952499, (1, 4): 9.31322530377e-10, (2, 3): 9.31322530377e-10, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.4901160486e-08, (1, 8): 5.55111485944e-17, (8, 8): 3.63797863428e-12, (2, 4): 0.0, }, ]
+55 North [{(4, 7): 0.0, (1, 3): 2.32830636606e-10, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.4505803714e-09, (8, 9): 7.4505803714e-09, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.93889369387e-18, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999969731, (1, 4): 1.16415318303e-10, (2, 3): 1.16415318303e-10, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49011607428e-08, (1, 8): 6.93889369387e-18, (8, 8): 9.09494674244e-13, (2, 4): 0.0, }, ]
+56 East [{(4, 7): 0.0, (1, 3): 5.82076605831e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.3132256933e-10, (8, 9): 9.3132256933e-10, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.16840433266e-19, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999994325, (1, 4): 1.45519151458e-11, (2, 3): 1.45519151458e-11, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.72529027732e-09, (1, 8): 2.16840433266e-19, (8, 8): 5.68434185382e-14, (2, 4): 0.0, }, ]
+57 Stop [{(4, 7): 0.0, (1, 3): 5.82076608415e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.16415321683e-10, (8, 9): 1.16415321683e-10, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.71050542786e-20, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999998763, (1, 4): 7.27595760518e-12, (2, 3): 7.27595760518e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.31322573464e-10, (1, 8): 2.71050542786e-20, (8, 8): 3.55271367441e-15, (2, 4): 0.0, }, ]
+58 South [{(4, 7): 0.0, (1, 3): 5.82076608944e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.45519152236e-11, (8, 9): 1.45519152236e-11, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.38813178791e-21, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999673, (1, 4): 3.6379788059e-12, (2, 3): 3.6379788059e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643578e-10, (1, 8): 3.38813178791e-21, (8, 8): 2.22044604852e-16, (2, 4): 0.0, }, ]
+59 West [{(4, 7): 0.0, (1, 3): 5.82076608955e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.27595761193e-12, (8, 9): 7.27595761193e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.69406589398e-21, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999691, (1, 4): 1.81898940298e-12, (2, 3): 1.81898940298e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643582e-10, (1, 8): 1.69406589398e-21, (8, 8): 5.55111512141e-17, (2, 4): 0.0, }, ]
+60 South [{(4, 7): 0.0, (1, 3): 1.45519152247e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.63797880616e-12, (8, 9): 3.63797880616e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.1175823676e-22, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999745, (1, 4): 2.27373675385e-13, (2, 3): 2.27373675385e-13, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643594e-10, (1, 8): 2.1175823676e-22, (8, 8): 1.38777878043e-17, (2, 4): 0.0, }, ]
+61 North [{(4, 7): 0.0, (1, 3): 3.63797880618e-12, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.27595761236e-12, (8, 9): 7.27595761236e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.0587911838e-22, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999749, (1, 4): 2.84217094233e-14, (2, 3): 2.84217094233e-14, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643595e-10, (1, 8): 1.0587911838e-22, (8, 8): 1.38777878043e-17, (2, 4): 0.0, }, ]
+62 North [{(4, 7): 0.0, (1, 3): 3.63797880613e-12, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.45519152245e-11, (8, 9): 1.45519152245e-11, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.29395591893e-23, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999734, (1, 4): 1.42108547114e-14, (2, 3): 1.42108547114e-14, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643592e-10, (1, 8): 5.29395591893e-23, (8, 8): 1.38777878041e-17, (2, 4): 0.0, }, ]
+63 Stop [{(4, 7): 0.0, (1, 3): 9.09494701716e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.81898940343e-12, (8, 9): 1.81898940343e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.654361225e-24, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999937, (1, 4): 1.77635683929e-15, (2, 3): 1.77635683929e-15, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.82076609098e-11, (1, 8): 1.654361225e-24, (8, 8): 8.67361737934e-19, (2, 4): 0.0, }, ]
+64 East [{(4, 7): 0.0, (1, 3): 2.2737367544e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.2737367544e-13, (8, 9): 2.2737367544e-13, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.16987882838e-26, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999985, (1, 4): 2.22044604922e-16, (2, 3): 2.22044604922e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.45519152281e-11, (1, 8): 5.16987882838e-26, (8, 8): 5.42101086234e-20, (2, 4): 0.0, }, ]
+65 East [{(4, 7): 0.0, (1, 3): 2.27373675442e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.84217094303e-14, (8, 9): 2.84217094303e-14, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.46234853555e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999996, (1, 4): 1.11022302462e-16, (2, 3): 1.11022302462e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.63797880708e-12, (1, 8): 6.46234853555e-27, (8, 8): 3.388131789e-21, (2, 4): 0.0, }, ]
+66 Stop [{(4, 7): 0.0, (1, 3): 9.09494701771e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.55271367879e-15, (8, 9): 3.55271367879e-15, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.23117426778e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999998, (1, 4): 2.22044604925e-16, (2, 3): 2.22044604925e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.09494701771e-13, (1, 8): 3.23117426778e-27, (8, 8): 2.11758236813e-22, (2, 4): 0.0, }, ]
+67 West [{(4, 7): 0.0, (1, 3): 2.27373675443e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.4408920985e-16, (8, 9): 4.4408920985e-16, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.61558713389e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.11022302462e-16, (2, 3): 1.11022302462e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.27373675443e-13, (1, 8): 1.61558713389e-27, (8, 8): 1.32348898008e-23, (2, 4): 0.0, }, ]
+68 West [{(4, 7): 0.0, (1, 3): 2.27373675443e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.55111512312e-17, (8, 9): 5.55111512312e-17, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.01948391737e-28, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 5.55111512312e-17, (2, 3): 5.55111512312e-17, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.68434188608e-14, (1, 8): 2.01948391737e-28, (8, 8): 8.27180612553e-25, (2, 4): 0.0, }, ]
+69 Stop [{(4, 7): 0.0, (1, 3): 5.68434188608e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.93889390391e-18, (8, 9): 6.93889390391e-18, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.31088724177e-30, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.93889390391e-18, (2, 3): 6.93889390391e-18, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.42108547152e-14, (1, 8): 6.31088724177e-30, (8, 8): 5.16987882846e-26, (2, 4): 0.0, }, ]
+70 East [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.67361737988e-19, (8, 9): 8.67361737988e-19, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.97215226305e-31, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.67361737988e-19, (2, 3): 8.67361737988e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.5527136788e-15, (1, 8): 1.97215226305e-31, (8, 8): 3.23117426779e-27, (2, 4): 0.0, }, ]
+71 Stop [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.08420217249e-19, (8, 9): 1.08420217249e-19, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.46519032882e-32, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.33680868994e-19, (2, 3): 4.33680868994e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.881784197e-16, (1, 8): 2.46519032882e-32, (8, 8): 2.01948391737e-28, (2, 4): 0.0, }, ]
+72 South [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.35525271561e-20, (8, 9): 1.35525271561e-20, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.08148791102e-33, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.16840434497e-19, (2, 3): 2.16840434497e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 3.08148791102e-33, (8, 8): 1.26217744835e-29, (2, 4): 0.0, }, ]
+73 East [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.77626357803e-21, (8, 9): 6.77626357803e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.54074395551e-33, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.08420217249e-19, (2, 3): 1.08420217249e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 1.54074395551e-33, (8, 8): 3.15544362088e-30, (2, 4): 0.0, }, ]
+74 West [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.35525271561e-20, (8, 9): 1.35525271561e-20, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.70371977755e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 5.42101086243e-20, (2, 3): 5.42101086243e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 7.70371977755e-34, (8, 8): 3.15544362088e-30, (2, 4): 0.0, }, ]
+75 Stop [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.77626357803e-21, (8, 9): 6.77626357803e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.85185988877e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.71050543121e-20, (2, 3): 2.71050543121e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 3.85185988877e-34, (8, 8): 7.88860905221e-31, (2, 4): 0.0, }, ]
+76 South [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.38813178902e-21, (8, 9): 3.38813178902e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.92592994439e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 1.92592994439e-34, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+77 East [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.62964972194e-35, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.55111512313e-17, (1, 8): 9.62964972194e-35, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+78 Stop [{(4, 7): 0.0, (1, 3): 8.881784197e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.47032947254e-22, (8, 9): 8.47032947254e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.20370621524e-35, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.38777878078e-17, (1, 8): 1.20370621524e-35, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+79 Stop [{(4, 7): 0.0, (1, 3): 8.881784197e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.01853107621e-36, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.38777878078e-17, (1, 8): 6.01853107621e-36, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+80 West [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.47032947254e-22, (8, 9): 8.47032947254e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.46944695195e-18, (1, 8): 7.52316384526e-37, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+81 North [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.23516473627e-22, (8, 9): 4.23516473627e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 3.76158192263e-37, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+82 North [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.11758236814e-22, (8, 9): 2.11758236814e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.88079096132e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 1.88079096132e-37, (8, 8): 4.93038065763e-32, (2, 4): 0.0, }, ]
+83 East [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.50463276905e-36, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.46944695195e-18, (1, 8): 1.50463276905e-36, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+84 Stop [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.11758236814e-22, (8, 9): 2.11758236814e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 7.52316384526e-37, (8, 8): 1.23259516441e-32, (2, 4): 0.0, }, ]
+85 Stop [{(4, 7): 0.0, (1, 3): 5.55111512313e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.64697796017e-23, (8, 9): 2.64697796017e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 3.76158192263e-37, (8, 8): 7.70371977755e-34, (2, 4): 0.0, }, ]
+86 South [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.32348898008e-23, (8, 9): 1.32348898008e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 7.52316384526e-37, (8, 8): 1.92592994439e-34, (2, 4): 0.0, }, ]
+87 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.64697796017e-23, (8, 9): 2.64697796017e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 3.76158192263e-37, (8, 8): 7.70371977755e-34, (2, 4): 0.0, }, ]
+88 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.32348898008e-23, (8, 9): 1.32348898008e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.88079096132e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 1.88079096132e-37, (8, 8): 1.92592994439e-34, (2, 4): 0.0, }, ]
+89 South [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.61744490042e-24, (8, 9): 6.61744490042e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.40395480658e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 9.40395480658e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+90 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.30872245021e-24, (8, 9): 3.30872245021e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.70197740329e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.42101086243e-20, (1, 8): 4.70197740329e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+91 East [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.65436122511e-24, (8, 9): 1.65436122511e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.40395480658e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.35525271561e-20, (1, 8): 9.40395480658e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+92 West [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.27180612553e-25, (8, 9): 8.27180612553e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.70197740329e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 4.70197740329e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+93 East [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.65436122511e-24, (8, 9): 1.65436122511e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.35098870164e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.35525271561e-20, (1, 8): 2.35098870164e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+94 North [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.27180612553e-25, (8, 9): 8.27180612553e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.17549435082e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 1.17549435082e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+95 South [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.13590306277e-25, (8, 9): 4.13590306277e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.87747175411e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 5.87747175411e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+96 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.06795153138e-25, (8, 9): 2.06795153138e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.93873587706e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.11758236814e-22, (2, 3): 2.11758236814e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.47032947254e-22, (1, 8): 2.93873587706e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+97 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.03397576569e-25, (8, 9): 1.03397576569e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.46936793853e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.11758236814e-22, (1, 8): 1.46936793853e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+98 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.16987882846e-26, (8, 9): 5.16987882846e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.34683969264e-40, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.11758236814e-22, (2, 3): 2.11758236814e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.29395592034e-23, (1, 8): 7.34683969264e-40, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+99 North [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.58493941423e-26, (8, 9): 2.58493941423e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.46936793853e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 1.46936793853e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+100 Stop [{(4, 7): 0.0, (1, 3): 5.55111512313e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.16987882846e-26, (8, 9): 5.16987882846e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.93873587706e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 2.93873587706e-39, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+101 None [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.58493941423e-26, (8, 9): 2.58493941423e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.67341984632e-40, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 3.67341984632e-40, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/3-ExactUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/3-ExactUpdate.test
new file mode 100644
index 0000000..5051d81
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/3-ExactUpdate.test	
@@ -0,0 +1,30 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+layout: """
+%%%%%%%%%%%
+%  %%%%%  %
+%  %%%%%  %
+%%%%   %%%%
+%%%% P %%%%
+%%%%   %%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+numGhosts: "1"
+
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+errorMsg: "Exact inference stationary pacman observe test: %d inference errors."
+L2Tolerance: "0.0001"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/4-ExactUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/4-ExactUpdate.solution
new file mode 100644
index 0000000..d94d525
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/4-ExactUpdate.solution	
@@ -0,0 +1,12 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.142857142857, (1, 3): 0.142857142857, (3, 3): 0.142857142857, (6, 3): 0.142857142857, (2, 3): 0.142857142857, (4, 3): 0.142857142857, (5, 3): 0.142857142857, }, ]
+1 East [{(7, 3): 0.503937007874, (1, 3): 0.0, (3, 3): 0.0314960629921, (6, 3): 0.251968503937, (2, 3): 0.0236220472441, (4, 3): 0.0629921259843, (1, 1): 0.0, (5, 3): 0.125984251969, }, ]
+2 Stop [{(7, 3): 0.296467863347, (1, 3): 0.0, (3, 3): 0.0364794441228, (6, 3): 0.296467863347, (2, 3): 0.0, (4, 3): 0.0741169658367, (1, 1): 0.0, (5, 3): 0.296467863347, }, ]
+3 West [{(7, 3): 0.55779116876, (1, 3): 0.0, (3, 3): 0.00643448064549, (6, 3): 0.27889558438, (2, 3): 0.0, (4, 3): 0.0174309740238, (1, 1): 0.0, (5, 3): 0.13944779219, }, ]
+4 East [{(7, 3): 0.75922809802, (1, 3): 0.0, (3, 3): 0.000547386591056, (6, 3): 0.189807024505, (2, 3): 0.0, (4, 3): 0.00296573475789, (1, 1): 0.0, (5, 3): 0.0474517561262, }, ]
+5 East [{(7, 3): 0.639058345539, (1, 3): 0.0, (3, 3): 0.000223174264819, (6, 3): 0.319529172769, (2, 3): 0.0, (4, 3): 0.00124816083113, (1, 1): 0.0, (5, 3): 0.0399411465962, }, ]
+6 East [{(7, 3): 0.789828261525, (1, 3): 0.0, (3, 3): 0.0, (6, 3): 0.197457065381, (2, 3): 0.0, (4, 3): 0.000373606507984, (1, 1): 0.0, (5, 3): 0.0123410665863, }, ]
+7 Stop [{(7, 3): 0.552021563342, (1, 3): 0.0, (3, 3): 0.0, (6, 3): 0.276010781671, (2, 3): 0.0, (4, 3): 0.0, (1, 1): 0.0, (5, 3): 0.171967654987, }, ]
+8 None [{(7, 3): 0.0, (1, 3): 0.0, (3, 3): 0.0, (6, 3): 0.0, (2, 3): 0.0, (4, 3): 0.0, (1, 1): 0.0, (5, 3): 0.0, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/4-ExactUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/4-ExactUpdate.test
new file mode 100644
index 0000000..7f42943
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/4-ExactUpdate.test	
@@ -0,0 +1,24 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+layout: """
+%%%%%%%%%
+%P     G%
+%%%%%%%%%
+% %%%%%%%
+%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "50"
+numGhosts: "1"
+
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+errorMsg: "Exact inference stationary pacman observe test: %d inference errors."
+L2Tolerance: "0.0001"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q2/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/CONFIG
new file mode 100644
index 0000000..64a4dd7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q2/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/1-ExactPredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/1-ExactPredict.solution
new file mode 100644
index 0000000..0faa157
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/1-ExactPredict.solution	
@@ -0,0 +1,80 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+1 Stop [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+2 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+3 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+4 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+5 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+6 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+7 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+8 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+9 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+10 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+11 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+12 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+13 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+14 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+15 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+16 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+17 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+18 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+19 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+20 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+21 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+22 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+23 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+24 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+25 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+26 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+27 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+28 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+29 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+30 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+31 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+32 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+33 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+34 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+35 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+36 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+37 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+38 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+39 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+40 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+41 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+42 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+43 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+44 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+45 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+46 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+47 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+48 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+49 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+50 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+51 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+52 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+53 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+54 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+55 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+56 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+57 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+58 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+59 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+60 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+61 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+62 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+63 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+64 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+65 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+66 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+67 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+68 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+69 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+70 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+71 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+72 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+73 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+74 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+75 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+76 None [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/1-ExactPredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/1-ExactPredict.test
new file mode 100644
index 0000000..223b635
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/1-ExactPredict.test	
@@ -0,0 +1,29 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%
+%   G %
+% %%% %
+% %P% %
+% %%% %
+%     %
+%%%%%%%
+% %%%%%
+%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "75"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+errorMsg: "Exact inference elapseTime test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/2-ExactPredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/2-ExactPredict.solution
new file mode 100644
index 0000000..02861ab
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/2-ExactPredict.solution	
@@ -0,0 +1,80 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+1 Stop [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+2 Stop [{(2.0, 7.0): 0.0539215686275, (4.0, 7.0): 0.0539215686275, (1.0, 3.0): 0.0686274509804, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0490196078431, (5.0, 4.0): 0.0637254901961, (1.0, 4.0): 0.0637254901961, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0490196078431, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0686274509804, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+3 Stop [{(2.0, 7.0): 0.0498366013072, (4.0, 7.0): 0.0498366013072, (1.0, 3.0): 0.0743464052288, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0539215686275, (5.0, 6.0): 0.0539215686275, (5.0, 7.0): 0.0449346405229, (5.0, 4.0): 0.0682189542484, (1.0, 4.0): 0.0682189542484, (1.0, 5.0): 0.0600490196078, (2.0, 3.0): 0.062091503268, (4.0, 3.0): 0.062091503268, (1.0, 7.0): 0.0449346405229, (3.0, 7.0): 0.0555555555556, (5.0, 3.0): 0.0743464052288, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0600490196078, }, ]
+4 Stop [{(2.0, 7.0): 0.046364379085, (4.0, 7.0): 0.046364379085, (1.0, 3.0): 0.0795887799564, (3.0, 3.0): 0.0610021786492, (1.0, 6.0): 0.0509599673203, (5.0, 6.0): 0.0509599673203, (5.0, 7.0): 0.0413262527233, (5.0, 4.0): 0.0718613834423, (1.0, 4.0): 0.0718613834423, (1.0, 5.0): 0.0590277777778, (2.0, 3.0): 0.0650871459695, (4.0, 3.0): 0.0650871459695, (1.0, 7.0): 0.0413262527233, (3.0, 7.0): 0.05174291939, (5.0, 3.0): 0.0795887799564, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0590277777778, }, ]
+5 Stop [{(2.0, 7.0): 0.0430339960058, (4.0, 7.0): 0.0430339960058, (1.0, 3.0): 0.0841560003631, (3.0, 3.0): 0.0637254901961, (1.0, 6.0): 0.0481600626362, (5.0, 6.0): 0.0481600626362, (5.0, 7.0): 0.0385263480392, (5.0, 4.0): 0.0740088280683, (1.0, 4.0): 0.0740088280683, (1.0, 5.0): 0.0582022739651, (2.0, 3.0): 0.0685593681917, (4.0, 3.0): 0.0685593681917, (1.0, 7.0): 0.0385263480392, (3.0, 7.0): 0.0481572258533, (5.0, 3.0): 0.0841560003631, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0582022739651, }, ]
+6 Stop [{(2.0, 7.0): 0.0400286609628, (4.0, 7.0): 0.0400286609628, (1.0, 3.0): 0.0879095368857, (3.0, 3.0): 0.0669480755265, (1.0, 6.0): 0.0458537581699, (5.0, 6.0): 0.0458537581699, (5.0, 7.0): 0.0360162680041, (5.0, 4.0): 0.0756553441207, (1.0, 4.0): 0.0756553441207, (1.0, 5.0): 0.0571328068264, (2.0, 3.0): 0.072146952917, (4.0, 3.0): 0.072146952917, (1.0, 7.0): 0.0360162680041, (3.0, 7.0): 0.0447417392883, (5.0, 3.0): 0.0879095368857, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0571328068264, }, ]
+7 Stop [{(2.0, 7.0): 0.0372608670847, (4.0, 7.0): 0.0372608670847, (1.0, 3.0): 0.0911798353279, (3.0, 3.0): 0.0704139937868, (1.0, 6.0): 0.0437547752511, (5.0, 6.0): 0.0437547752511, (5.0, 7.0): 0.0338103935311, (5.0, 4.0): 0.0767834184053, (1.0, 4.0): 0.0767834184053, (1.0, 5.0): 0.0561239168217, (2.0, 3.0): 0.0756681884431, (4.0, 3.0): 0.0756681884431, (1.0, 7.0): 0.0338103935311, (3.0, 7.0): 0.0415996870713, (5.0, 3.0): 0.0911798353279, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0561239168217, }, ]
+8 Stop [{(2.0, 7.0): 0.0347394497681, (4.0, 7.0): 0.0347394497681, (1.0, 3.0): 0.0940077171263, (3.0, 3.0): 0.0739167902243, (1.0, 6.0): 0.0418748697838, (5.0, 6.0): 0.0418748697838, (5.0, 7.0): 0.0318115812238, (5.0, 4.0): 0.0776510914548, (1.0, 4.0): 0.0776510914548, (1.0, 5.0): 0.0551042214323, (2.0, 3.0): 0.0790873391859, (4.0, 3.0): 0.0790873391859, (1.0, 7.0): 0.0318115812238, (3.0, 7.0): 0.0387071404136, (5.0, 3.0): 0.0940077171263, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0551042214323, }, ]
+9 Stop [{(2.0, 7.0): 0.0324350920332, (4.0, 7.0): 0.0324350920332, (1.0, 3.0): 0.0965238978315, (3.0, 3.0): 0.0773638228654, (1.0, 6.0): 0.0401505634159, (5.0, 6.0): 0.0401505634159, (5.0, 7.0): 0.0300014293413, (5.0, 4.0): 0.0783007892886, (1.0, 4.0): 0.0783007892886, (1.0, 5.0): 0.0541262631137, (2.0, 3.0): 0.0823372821789, (4.0, 3.0): 0.0823372821789, (1.0, 7.0): 0.0300014293413, (3.0, 7.0): 0.0360620133166, (5.0, 3.0): 0.0965238978315, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0541262631137, }, ]
+10 Stop [{(2.0, 7.0): 0.0303327257853, (4.0, 7.0): 0.0303327257853, (1.0, 3.0): 0.0987707879811, (3.0, 3.0): 0.0806794624077, (1.0, 6.0): 0.038569921303, (5.0, 6.0): 0.038569921303, (5.0, 7.0): 0.0283496955337, (5.0, 4.0): 0.0788129614895, (1.0, 4.0): 0.0788129614895, (1.0, 5.0): 0.0531820448086, (2.0, 3.0): 0.0854083342919, (4.0, 3.0): 0.0854083342919, (1.0, 7.0): 0.0283496955337, (3.0, 7.0): 0.0336440657943, (5.0, 3.0): 0.0987707879811, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0531820448086, }, ]
+11 Stop [{(2.0, 7.0): 0.0284130210766, (4.0, 7.0): 0.0284130210766, (1.0, 3.0): 0.100799521502, (3.0, 3.0): 0.0838320436638, (1.0, 6.0): 0.0371128392948, (5.0, 6.0): 0.0371128392948, (5.0, 7.0): 0.0268408128043, (5.0, 4.0): 0.0792178587704, (1.0, 4.0): 0.0792178587704, (1.0, 5.0): 0.052283712226, (2.0, 3.0): 0.0882861948936, (4.0, 3.0): 0.0882861948936, (1.0, 7.0): 0.0268408128043, (3.0, 7.0): 0.0314365057883, (5.0, 3.0): 0.100799521502, (1, 1): 0.0588235294118, (5.0, 5.0): 0.052283712226, }, ]
+12 Stop [{(2.0, 7.0): 0.0266600454894, (4.0, 7.0): 0.0266600454894, (1.0, 3.0): 0.102637501517, (3.0, 3.0): 0.086801477817, (1.0, 6.0): 0.0357695442823, (5.0, 6.0): 0.0357695442823, (5.0, 7.0): 0.0254594200503, (5.0, 4.0): 0.0795461613064, (1.0, 4.0): 0.0795461613064, (1.0, 5.0): 0.0514318123965, (2.0, 3.0): 0.0909725866866, (4.0, 3.0): 0.0909725866866, (1.0, 7.0): 0.0254594200503, (3.0, 7.0): 0.0294208493139, (5.0, 3.0): 0.102637501517, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0514318123965, }, ]
+13 Stop [{(2.0, 7.0): 0.0250584866137, (4.0, 7.0): 0.0250584866137, (1.0, 3.0): 0.104309776721, (3.0, 3.0): 0.0895822170634, (1.0, 6.0): 0.0345300491949, (5.0, 6.0): 0.0345300491949, (5.0, 7.0): 0.024193922913, (5.0, 4.0): 0.0798149470306, (1.0, 4.0): 0.0798149470306, (1.0, 5.0): 0.0506292655669, (2.0, 3.0): 0.0934705220069, (4.0, 3.0): 0.0934705220069, (1.0, 7.0): 0.024193922913, (3.0, 7.0): 0.0275803134309, (5.0, 3.0): 0.104309776721, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0506292655669, }, ]
+14 Stop [{(2.0, 7.0): 0.0235947474097, (4.0, 7.0): 0.0235947474097, (1.0, 3.0): 0.105834239758, (3.0, 3.0): 0.0921744203591, (1.0, 6.0): 0.0333867901469, (5.0, 6.0): 0.0333867901469, (5.0, 7.0): 0.0230338218982, (5.0, 4.0): 0.0800382951148, (1.0, 4.0): 0.0800382951148, (1.0, 5.0): 0.0498760777468, (2.0, 3.0): 0.0957875052638, (4.0, 3.0): 0.0957875052638, (1.0, 7.0): 0.0230338218982, (3.0, 7.0): 0.0258990955527, (5.0, 3.0): 0.105834239758, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0498760777468, }, ]
+15 Stop [{(2.0, 7.0): 0.0222564031287, (4.0, 7.0): 0.0222564031287, (1.0, 3.0): 0.107226395898, (3.0, 3.0): 0.0945831436289, (1.0, 6.0): 0.0323326279225, (5.0, 6.0): 0.0323326279225, (5.0, 7.0): 0.0219700688145, (5.0, 4.0): 0.0802256925714, (1.0, 4.0): 0.0802256925714, (1.0, 5.0): 0.0491719882889, (2.0, 3.0): 0.097932055127, (4.0, 3.0): 0.097932055127, (1.0, 7.0): 0.0219700688145, (3.0, 7.0): 0.0243628634574, (5.0, 3.0): 0.107226395898, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0491719882889, }, ]
+16 Stop [{(2.0, 7.0): 0.0210322727323, (4.0, 7.0): 0.0210322727323, (1.0, 3.0): 0.108498996627, (3.0, 3.0): 0.0968157512943, (1.0, 6.0): 0.0313611884601, (5.0, 6.0): 0.0313611884601, (5.0, 7.0): 0.0209944752272, (5.0, 4.0): 0.0803845492533, (1.0, 4.0): 0.0803845492533, (1.0, 5.0): 0.0485157341763, (2.0, 3.0): 0.0999138648846, (4.0, 3.0): 0.0999138648846, (1.0, 7.0): 0.0209944752272, (3.0, 7.0): 0.0229585565716, (5.0, 3.0): 0.108498996627, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0485157341763, }, ]
+17 Stop [{(2.0, 7.0): 0.0199122285748, (4.0, 7.0): 0.0199122285748, (1.0, 3.0): 0.109663228464, (3.0, 3.0): 0.0988811603545, (1.0, 6.0): 0.0304664682727, (5.0, 6.0): 0.0304664682727, (5.0, 7.0): 0.0200996734993, (5.0, 4.0): 0.0805203366106, (1.0, 4.0): 0.0805203366106, (1.0, 5.0): 0.0479056650875, (2.0, 3.0): 0.101742870935, (4.0, 3.0): 0.101742870935, (1.0, 7.0): 0.0200996734993, (3.0, 7.0): 0.0216743673454, (5.0, 3.0): 0.109663228464, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0479056650875, }, ]
+18 Stop [{(2.0, 7.0): 0.0188871170149, (4.0, 7.0): 0.0188871170149, (1.0, 3.0): 0.110728868105, (3.0, 3.0): 0.100788967408, (1.0, 6.0): 0.0296428700897, (5.0, 6.0): 0.0296428700897, (5.0, 7.0): 0.0192789449679, (5.0, 4.0): 0.0806373261844, (1.0, 4.0): 0.0806373261844, (1.0, 5.0): 0.0473397345609, (2.0, 3.0): 0.103429086585, (4.0, 3.0): 0.103429086585, (1.0, 7.0): 0.0192789449679, (3.0, 7.0): 0.020499608165, (5.0, 3.0): 0.110728868105, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0473397345609, }, ]
+19 Stop [{(2.0, 7.0): 0.0179486446353, (4.0, 7.0): 0.0179486446353, (1.0, 3.0): 0.111704647989, (3.0, 3.0): 0.102549046859, (1.0, 6.0): 0.0288851236466, (5.0, 6.0): 0.0288851236466, (5.0, 7.0): 0.018526159436, (5.0, 4.0): 0.0807388215282, (1.0, 4.0): 0.0807388215282, (1.0, 5.0): 0.0468157002311, (2.0, 3.0): 0.104982307366, (4.0, 3.0): 0.104982307366, (1.0, 7.0): 0.018526159436, (3.0, 7.0): 0.0194246140649, (5.0, 3.0): 0.111704647989, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0468157002311, }, ]
+20 Stop [{(2.0, 7.0): 0.0170892927591, (4.0, 7.0): 0.0170892927591, (1.0, 3.0): 0.112598395882, (3.0, 3.0): 0.10417122053, (1.0, 6.0): 0.0281882856874, (5.0, 6.0): 0.0281882856874, (5.0, 7.0): 0.0178357023157, (5.0, 4.0): 0.0808274381605, (1.0, 4.0): 0.0808274381605, (1.0, 5.0): 0.0463311922631, (2.0, 3.0): 0.106412000738, (4.0, 3.0): 0.106412000738, (1.0, 7.0): 0.0178357023157, (3.0, 7.0): 0.0184406344451, (5.0, 3.0): 0.112598395882, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0463311922631, }, ]
+21 Stop [{(2.0, 7.0): 0.016302234647, (4.0, 7.0): 0.016302234647, (1.0, 3.0): 0.11341718462, (3.0, 3.0): 0.105665074002, (1.0, 6.0): 0.0275477206455, (5.0, 6.0): 0.0275477206455, (5.0, 7.0): 0.0172024279205, (5.0, 4.0): 0.0809052542992, (1.0, 4.0): 0.0809052542992, (1.0, 5.0): 0.0458838004496, (2.0, 3.0): 0.107727205717, (4.0, 3.0): 0.107727205717, (1.0, 7.0): 0.0172024279205, (3.0, 7.0): 0.0175397399878, (5.0, 3.0): 0.11341718462, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0458838004496, }, ]
+22 Stop [{(2.0, 7.0): 0.0155812651917, (4.0, 7.0): 0.0155812651917, (1.0, 3.0): 0.114167423929, (3.0, 3.0): 0.107039828479, (1.0, 6.0): 0.026959094234, (5.0, 6.0): 0.026959094234, (5.0, 7.0): 0.0166216153572, (5.0, 4.0): 0.0809739420064, (1.0, 4.0): 0.0809739420064, (1.0, 5.0): 0.04547112401, (2.0, 3.0): 0.108936488113, (4.0, 3.0): 0.108936488113, (1.0, 7.0): 0.0166216153572, (3.0, 7.0): 0.0167147364273, (5.0, 3.0): 0.114167423929, (1, 1): 0.0588235294118, (5.0, 5.0): 0.04547112401, }, ]
+23 Stop [{(2.0, 7.0): 0.0149207377123, (4.0, 7.0): 0.0149207377123, (1.0, 3.0): 0.114854941684, (3.0, 3.0): 0.108304268235, (1.0, 6.0): 0.0264183622396, (5.0, 6.0): 0.0264183622396, (5.0, 7.0): 0.0160889324617, (5.0, 4.0): 0.0810348554828, (1.0, 4.0): 0.0810348554828, (1.0, 5.0): 0.0450908136211, (2.0, 3.0): 0.110047913507, (4.0, 3.0): 0.110047913507, (1.0, 7.0): 0.0160889324617, (3.0, 7.0): 0.0159590889369, (5.0, 3.0): 0.114854941684, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0450908136211, }, ]
+24 Stop [{(2.0, 7.0): 0.0143155086651, (4.0, 7.0): 0.0143155086651, (1.0, 3.0): 0.115485046138, (3.0, 3.0): 0.109466698416, (1.0, 6.0): 0.025921760196, (5.0, 6.0): 0.025921760196, (5.0, 7.0): 0.0156004029127, (5.0, 4.0): 0.0810891012425, (1.0, 4.0): 0.0810891012425, (1.0, 5.0): 0.0447405983958, (2.0, 3.0): 0.111069041142, (4.0, 3.0): 0.111069041142, (1.0, 7.0): 0.0156004029127, (3.0, 7.0): 0.0152668547871, (5.0, 3.0): 0.115485046138, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0447405983958, }, ]
+25 Stop [{(2.0, 7.0): 0.0137608885456, (4.0, 7.0): 0.0137608885456, (1.0, 3.0): 0.116062579715, (3.0, 3.0): 0.1105349269, (1.0, 6.0): 0.0254657911043, (5.0, 6.0): 0.0254657911043, (5.0, 7.0): 0.0151523769989, (5.0, 4.0): 0.081137589888, (1.0, 4.0): 0.081137589888, (1.0, 5.0): 0.0444183050076, (2.0, 3.0): 0.112006928565, (4.0, 3.0): 0.112006928565, (1.0, 7.0): 0.0151523769989, (3.0, 7.0): 0.0146326240391, (5.0, 3.0): 0.116062579715, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0444183050076, }, ]
+26 Stop [{(2.0, 7.0): 0.0132525984446, (4.0, 7.0): 0.0132525984446, (1.0, 3.0): 0.116591964371, (3.0, 3.0): 0.111516261344, (1.0, 6.0): 0.0250472125274, (5.0, 6.0): 0.0250472125274, (5.0, 7.0): 0.0147415048743, (5.0, 4.0): 0.0811810765473, (1.0, 4.0): 0.0811810765473, (1.0, 5.0): 0.044121869276, (2.0, 3.0): 0.11286814506, (4.0, 3.0): 0.11286814506, (1.0, 7.0): 0.0147415048743, (3.0, 7.0): 0.0140514670435, (5.0, 3.0): 0.116591964371, (1, 1): 0.0588235294118, (5.0, 5.0): 0.044121869276, }, ]
+27 Stop [{(2.0, 7.0): 0.0127867313813, (4.0, 7.0): 0.0127867313813, (1.0, 3.0): 0.117077241417, (3.0, 3.0): 0.112417517155, (1.0, 6.0): 0.024663022888, (5.0, 6.0): 0.024663022888, (5.0, 7.0): 0.0143647121653, (5.0, 4.0): 0.0812201918984, (1.0, 4.0): 0.0812201918984, (1.0, 5.0): 0.0438493427196, (2.0, 3.0): 0.113658790258, (4.0, 3.0): 0.113658790258, (1.0, 7.0): 0.0143647121653, (3.0, 7.0): 0.0135188879776, (5.0, 3.0): 0.117077241417, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0438493427196, }, ]
+28 Stop [{(2.0, 7.0): 0.0123597178276, (4.0, 7.0): 0.0123597178276, (1.0, 3.0): 0.117522106508, (3.0, 3.0): 0.113245032557, (1.0, 6.0): 0.0243104474846, (5.0, 6.0): 0.0243104474846, (5.0, 7.0): 0.0140191775571, (5.0, 4.0): 0.0812554664735, (1.0, 4.0): 0.0812554664735, (1.0, 5.0): 0.0435988950985, (2.0, 3.0): 0.114384516277, (4.0, 3.0): 0.114384516277, (1.0, 7.0): 0.0140191775571, (3.0, 7.0): 0.0130307835801, (5.0, 3.0): 0.117522106508, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0435988950985, }, ]
+29 Stop [{(2.0, 7.0): 0.0119682948585, (4.0, 7.0): 0.0119682948585, (1.0, 3.0): 0.117929940832, (3.0, 3.0): 0.11400468837, (1.0, 6.0): 0.0239869244243, (5.0, 6.0): 0.0239869244243, (5.0, 7.0): 0.013702312203, (5.0, 4.0): 0.0812873496702, (1.0, 4.0): 0.0812873496702, (1.0, 5.0): 0.0433688141353, (2.0, 3.0): 0.11505055178, (4.0, 3.0): 0.11505055178, (1.0, 7.0): 0.013702312203, (3.0, 7.0): 0.0125834064118, (5.0, 3.0): 0.117929940832, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0433688141353, }, ]
+30 Stop [{(2.0, 7.0): 0.0116094784742, (4.0, 7.0): 0.0116094784742, (1.0, 3.0): 0.118303839039, (3.0, 3.0): 0.114701930644, (1.0, 6.0): 0.0236900907414, (5.0, 6.0): 0.0236900907414, (5.0, 7.0): 0.0134117407763, (5.0, 4.0): 0.0813162247624, (1.0, 4.0): 0.0813162247624, (1.0, 5.0): 0.0431575031635, (2.0, 3.0): 0.115661726994, (4.0, 3.0): 0.115661726994, (1.0, 7.0): 0.0134117407763, (3.0, 7.0): 0.0121733320429, (5.0, 3.0): 0.118303839039, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0431575031635, }, ]
+31 Stop [{(2.0, 7.0): 0.0112805386998, (4.0, 7.0): 0.0112805386998, (1.0, 3.0): 0.118646634392, (3.0, 3.0): 0.115341794877, (1.0, 6.0): 0.0234177688644, (5.0, 6.0): 0.0234177688644, (5.0, 7.0): 0.0131452840375, (5.0, 4.0): 0.0813424207854, (1.0, 4.0): 0.0813424207854, (1.0, 5.0): 0.0429634773522, (2.0, 3.0): 0.116222498892, (4.0, 3.0): 0.116222498892, (1.0, 7.0): 0.0131452840375, (3.0, 7.0): 0.0117974296638, (5.0, 3.0): 0.118646634392, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0429634773522, }, ]
+32 Stop [{(2.0, 7.0): 0.0109789771305, (4.0, 7.0): 0.0109789771305, (1.0, 3.0): 0.118960921488, (3.0, 3.0): 0.115928930887, (1.0, 6.0): 0.0231679535729, (5.0, 6.0): 0.0231679535729, (5.0, 7.0): 0.0129009427921, (5.0, 4.0): 0.0813662220032, (1.0, 4.0): 0.0813662220032, (1.0, 5.0): 0.0427853589666, (2.0, 3.0): 0.116736976054, (4.0, 3.0): 0.116736976054, (1.0, 7.0): 0.0129009427921, (3.0, 7.0): 0.0114528356878, (5.0, 3.0): 0.118960921488, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0427853589666, }, ]
+33 Stop [{(2.0, 7.0): 0.0107025066375, (4.0, 7.0): 0.0107025066375, (1.0, 3.0): 0.119249076849, (3.0, 3.0): 0.116467627665, (1.0, 6.0): 0.0229387995309, (5.0, 6.0): 0.0229387995309, (5.0, 7.0): 0.0126768831347, (5.0, 4.0): 0.0813878754799, (1.0, 4.0): 0.0813878754799, (1.0, 5.0): 0.0426218720289, (2.0, 3.0): 0.11720894281, (4.0, 3.0): 0.11720894281, (1.0, 7.0): 0.0126768831347, (3.0, 7.0): 0.011136929983, (5.0, 3.0): 0.119249076849, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0426218720289, }, ]
+34 Stop [{(2.0, 7.0): 0.0104490329905, (4.0, 7.0): 0.0104490329905, (1.0, 3.0): 0.119513277626, (3.0, 3.0): 0.116961837761, (1.0, 6.0): 0.0227286094573, (5.0, 6.0): 0.0227286094573, (5.0, 7.0): 0.0124714228789, (5.0, 4.0): 0.0814075971673, (1.0, 4.0): 0.0814075971673, (1.0, 5.0): 0.0424718366426, (2.0, 3.0): 0.117641882441, (4.0, 3.0): 0.117641882441, (1.0, 7.0): 0.0124714228789, (3.0, 7.0): 0.0108473144193, (5.0, 3.0): 0.119513277626, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0424718366426, }, ]
+35 Stop [{(2.0, 7.0): 0.0102166381896, (4.0, 7.0): 0.0102166381896, (1.0, 3.0): 0.119755518606, (3.0, 3.0): 0.117415200881, (1.0, 6.0): 0.0225358229644, (5.0, 6.0): 0.0225358229644, (5.0, 7.0): 0.0122830190809, (5.0, 4.0): 0.0814255768218, (1.0, 4.0): 0.0814255768218, (1.0, 5.0): 0.0423341631811, (2.0, 3.0): 0.118038999276, (4.0, 3.0): 0.118038999276, (1.0, 7.0): 0.0122830190809, (3.0, 7.0): 0.0105817934668, (5.0, 3.0): 0.119755518606, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0423341631811, }, ]
+36 Stop [{(2.0, 7.0): 0.0100035653224, (4.0, 7.0): 0.0100035653224, (1.0, 3.0): 0.119977627705, (3.0, 3.0): 0.117831066478, (1.0, 6.0): 0.0223590060768, (5.0, 6.0): 0.0223590060768, (5.0, 7.0): 0.0121102565745, (5.0, 4.0): 0.081441981998, (1.0, 4.0): 0.081441981998, (1.0, 5.0): 0.042207846483, (2.0, 3.0): 0.118403239588, (4.0, 3.0): 0.118403239588, (1.0, 7.0): 0.0121102565745, (3.0, 7.0): 0.0103383566154, (5.0, 3.0): 0.119977627705, (1, 1): 0.0588235294118, (5.0, 5.0): 0.042207846483, }, ]
+37 Stop [{(2.0, 7.0): 0.00980820478954, (4.0, 7.0): 0.00980820478954, (1.0, 3.0): 0.120181280097, (3.0, 3.0): 0.118212515218, (1.0, 6.0): 0.0221968414272, (5.0, 6.0): 0.0221968414272, (5.0, 7.0): 0.011951837437, (5.0, 4.0): 0.0814569613093, (1.0, 4.0): 0.0814569613093, (1.0, 5.0): 0.0420919601587, (2.0, 3.0): 0.118737311257, (4.0, 3.0): 0.118737311257, (1.0, 7.0): 0.011951837437, (3.0, 7.0): 0.01011516242, (5.0, 3.0): 0.120181280097, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0420919601587, }, ]
+38 Stop [{(2.0, 7.0): 0.00962908176243, (4.0, 7.0): 0.00962908176243, (1.0, 3.0): 0.120368011106, (3.0, 3.0): 0.118562379244, (1.0, 6.0): 0.022048119115, (5.0, 6.0): 0.022048119115, (5.0, 7.0): 0.0118065713126, (5.0, 4.0): 0.0814706471055, (1.0, 4.0): 0.0814706471055, (1.0, 5.0): 0.0419856510806, (2.0, 3.0): 0.11904370219, (4.0, 3.0): 0.11904370219, (1.0, 7.0): 0.0118065713126, (3.0, 7.0): 0.0099105239997, (5.0, 3.0): 0.120368011106, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0419856510806, }, ]
+39 Stop [{(2.0, 7.0): 0.00946484474885, (4.0, 7.0): 0.00946484474885, (1.0, 3.0): 0.120539227985, (3.0, 3.0): 0.118883261208, (1.0, 6.0): 0.0219117282052, (5.0, 6.0): 0.0219117282052, (5.0, 7.0): 0.0116733665277, (5.0, 4.0): 0.0814831576853, (1.0, 4.0): 0.0814831576853, (1.0, 5.0): 0.041888134104, (2.0, 3.0): 0.119324697513, (4.0, 3.0): 0.119324697513, (1.0, 7.0): 0.0116733665277, (3.0, 7.0): 0.00972289584152, (5.0, 3.0): 0.120539227985, (1, 1): 0.0588235294118, (5.0, 5.0): 0.041888134104, }, ]
+40 Stop [{(2.0, 7.0): 0.00931425516204, (4.0, 7.0): 0.00931425516204, (1.0, 3.0): 0.120696220675, (3.0, 3.0): 0.119177552078, (1.0, 6.0): 0.0217866488411, (5.0, 6.0): 0.0217866488411, (5.0, 7.0): 0.0115512219328, (5.0, 4.0): 0.0814945991349, (1.0, 4.0): 0.0814945991349, (1.0, 5.0): 0.0417986870499, (2.0, 3.0): 0.119582395569, (4.0, 3.0): 0.119582395569, (1.0, 7.0): 0.0115512219328, (3.0, 7.0): 0.00955086177974, (5.0, 3.0): 0.120696220675, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0417986870499, }, ]
+41 Stop [{(2.0, 7.0): 0.00917617779714, (4.0, 7.0): 0.00917617779714, (1.0, 3.0): 0.120840171649, (3.0, 3.0): 0.119447447739, (1.0, 6.0): 0.0216719449392, (5.0, 6.0): 0.0216719449392, (5.0, 7.0): 0.0114392194142, (5.0, 4.0): 0.0815050668672, (1.0, 4.0): 0.0815050668672, (1.0, 5.0): 0.0417166459668, (2.0, 3.0): 0.119818722774, (4.0, 3.0): 0.119818722774, (1.0, 7.0): 0.0114392194142, (3.0, 7.0): 0.00939312403461, (5.0, 3.0): 0.120840171649, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0417166459668, }, ]
+42 Stop [{(2.0, 7.0): 0.00904957213079, (4.0, 7.0): 0.00904957213079, (1.0, 3.0): 0.120972164908, (3.0, 3.0): 0.119694964429, (1.0, 6.0): 0.0215667574336, (5.0, 6.0): 0.0215667574336, (5.0, 7.0): 0.0113365170207, (5.0, 4.0): 0.0815146469165, (1.0, 4.0): 0.0815146469165, (1.0, 5.0): 0.0416414006781, (2.0, 3.0): 0.120035447387, (4.0, 3.0): 0.120035447387, (1.0, 7.0): 0.0113365170207, (3.0, 7.0): 0.00924849320963, (5.0, 3.0): 0.120972164908, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0416414006781, }, ]
+43 Stop [{(2.0, 7.0): 0.00893348436865, (4.0, 7.0): 0.00893348436865, (1.0, 3.0): 0.121093194223, (3.0, 3.0): 0.119921953068, (1.0, 6.0): 0.0214702980383, (5.0, 6.0): 0.0214702980383, (5.0, 7.0): 0.0112423426572, (5.0, 4.0): 0.0815234170375, (1.0, 4.0): 0.0815234170375, (1.0, 5.0): 0.0415723906154, (2.0, 3.0): 0.120234192241, (4.0, 3.0): 0.120234192241, (1.0, 7.0): 0.0112423426572, (3.0, 7.0): 0.00911587915707, (5.0, 3.0): 0.121093194223, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0415723906154, }, ]
+44 Stop [{(2.0, 7.0): 0.00882704017287, (4.0, 7.0): 0.00882704017287, (1.0, 3.0): 0.121204170674, (3.0, 3.0): 0.120130112517, (1.0, 6.0): 0.021381843492, (5.0, 6.0): 0.021381843492, (5.0, 7.0): 0.0111559882967, (5.0, 4.0): 0.0815314476415, (1.0, 4.0): 0.0815314476415, (1.0, 5.0): 0.0415091009324, (2.0, 3.0): 0.120416446511, (4.0, 3.0): 0.120416446511, (1.0, 7.0): 0.0111559882967, (3.0, 7.0): 0.00899428263146, (5.0, 3.0): 0.121204170674, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0415091009324, }, ]
+45 Stop [{(2.0, 7.0): 0.00872943800896, (4.0, 7.0): 0.00872943800896, (1.0, 3.0): 0.121305929549, (3.0, 3.0): 0.120321001846, (1.0, 6.0): 0.0213007302545, (5.0, 6.0): 0.0213007302545, (5.0, 7.0): 0.0110768046715, (5.0, 4.0): 0.0815388026011, (1.0, 4.0): 0.0815388026011, (1.0, 5.0): 0.0414510588895, (2.0, 3.0): 0.120583576567, (4.0, 3.0): 0.120583576567, (1.0, 7.0): 0.0110768046715, (3.0, 7.0): 0.00888278765906, (5.0, 3.0): 0.121305929549, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0414510588895, }, ]
+46 Stop [{(2.0, 7.0): 0.00863994305721, (4.0, 7.0): 0.00863994305721, (1.0, 3.0): 0.121399236673, (3.0, 3.0): 0.12049605166, (1.0, 6.0): 0.0212263496217, (5.0, 6.0): 0.0212263496217, (5.0, 7.0): 0.0110041964011, (5.0, 4.0): 0.0815455399446, (1.0, 4.0): 0.0815455399446, (1.0, 5.0): 0.0413978304999, (2.0, 3.0): 0.120736835987, (4.0, 3.0): 0.120736835987, (1.0, 7.0): 0.0110041964011, (3.0, 7.0): 0.008780554559, (5.0, 3.0): 0.121399236673, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0413978304999, }, ]
+47 Stop [{(2.0, 7.0): 0.00855788163902, (4.0, 7.0): 0.00855788163902, (1.0, 3.0): 0.121484794192, (3.0, 3.0): 0.120656574545, (1.0, 6.0): 0.021158143231, (5.0, 6.0): 0.021158143231, (5.0, 7.0): 0.0109376175248, (5.0, 4.0): 0.0815517124603, (1.0, 4.0): 0.0815517124603, (1.0, 5.0): 0.041349017422, (2.0, 3.0): 0.120877374773, (4.0, 3.0): 0.120877374773, (1.0, 7.0): 0.0109376175248, (3.0, 7.0): 0.00868681355781, (5.0, 3.0): 0.121484794192, (1, 1): 0.0588235294118, (5.0, 5.0): 0.041349017422, }, ]
+48 Stop [{(2.0, 7.0): 0.00848263611347, (4.0, 7.0): 0.00848263611347, (1.0, 3.0): 0.121563245885, (3.0, 3.0): 0.120803774697, (1.0, 6.0): 0.0210955989256, (5.0, 6.0): 0.0210955989256, (5.0, 7.0): 0.0108765674019, (5.0, 4.0): 0.0815573682235, (1.0, 4.0): 0.0815573682235, (1.0, 5.0): 0.0413042540861, (2.0, 3.0): 0.121006247837, (4.0, 3.0): 0.121006247837, (1.0, 7.0): 0.0108765674019, (3.0, 7.0): 0.00860085894528, (5.0, 3.0): 0.121563245885, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0413042540861, }, ]
+49 Stop [{(2.0, 7.0): 0.0084136402034, (4.0, 7.0): 0.0084136402034, (1.0, 3.0): 0.121635182019, (3.0, 3.0): 0.12093875679, (1.0, 6.0): 0.0210382469539, (5.0, 6.0): 0.0210382469539, (5.0, 7.0): 0.0108205869531, (5.0, 4.0): 0.0815625510607, (1.0, 4.0): 0.0815625510607, (1.0, 5.0): 0.0412632050402, (2.0, 3.0): 0.121124422806, (4.0, 3.0): 0.121124422806, (1.0, 7.0): 0.0108205869531, (3.0, 7.0): 0.00852204372408, (5.0, 3.0): 0.121635182019, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0412632050402, }, ]
+50 Stop [{(2.0, 7.0): 0.00835037471409, (4.0, 7.0): 0.00835037471409, (1.0, 3.0): 0.121701143806, (3.0, 3.0): 0.121062534134, (1.0, 6.0): 0.0209856564751, (5.0, 6.0): 0.0209856564751, (5.0, 7.0): 0.0107692552112, (5.0, 4.0): 0.0815673009583, (1.0, 4.0): 0.0815673009583, (1.0, 5.0): 0.0412255625022, (2.0, 3.0): 0.121232787205, (4.0, 3.0): 0.121232787205, (1.0, 7.0): 0.0107692552112, (3.0, 7.0): 0.00844977471029, (5.0, 3.0): 0.121701143806, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0412255625022, }, ]
+51 Stop [{(2.0, 7.0): 0.00829236361093, (4.0, 7.0): 0.00829236361093, (1.0, 3.0): 0.121761627483, (3.0, 3.0): 0.121176036182, (1.0, 6.0): 0.0209374323499, (5.0, 6.0): 0.0209374323499, (5.0, 7.0): 0.0107221861596, (5.0, 4.0): 0.0815716544259, (1.0, 4.0): 0.0815716544259, (1.0, 5.0): 0.0411910441027, (2.0, 3.0): 0.121332155048, (4.0, 3.0): 0.121332155048, (1.0, 7.0): 0.0107221861596, (3.0, 7.0): 0.00838350804616, (5.0, 3.0): 0.121761627483, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0411910441027, }, ]
+52 Stop [{(2.0, 7.0): 0.00823917042559, (4.0, 7.0): 0.00823917042559, (1.0, 3.0): 0.121817088057, (3.0, 3.0): 0.121280115426, (1.0, 6.0): 0.0208932121929, (5.0, 6.0): 0.0208932121929, (5.0, 7.0): 0.010679025831, (5.0, 4.0): 0.0815756448187, (1.0, 4.0): 0.0815756448187, (1.0, 5.0): 0.0411593908071, (2.0, 3.0): 0.121423272904, (4.0, 3.0): 0.121423272904, (1.0, 7.0): 0.010679025831, (3.0, 7.0): 0.00832274508934, (5.0, 3.0): 0.121817088057, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0411593908071, }, ]
+53 Stop [{(2.0, 7.0): 0.00819039496273, (4.0, 7.0): 0.00819039496273, (1.0, 3.0): 0.12186794273, (3.0, 3.0): 0.121375553745, (1.0, 6.0): 0.0208526636655, (5.0, 6.0): 0.0208526636655, (5.0, 7.0): 0.0106394496479, (5.0, 4.0): 0.0815793026271, (1.0, 4.0): 0.0815793026271, (1.0, 5.0): 0.0411303650029, (2.0, 3.0): 0.121506825462, (4.0, 3.0): 0.121506825462, (1.0, 7.0): 0.0106394496479, (3.0, 7.0): 0.00826702864684, (5.0, 3.0): 0.12186794273, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0411303650029, }, ]
+54 Stop [{(2.0, 7.0): 0.00814567028182, (4.0, 7.0): 0.00814567028182, (1.0, 3.0): 0.121914574044, (3.0, 3.0): 0.121463068223, (1.0, 6.0): 0.020815481991, (5.0, 6.0): 0.020815481991, (5.0, 7.0): 0.0106031599826, (5.0, 4.0): 0.0815826557348, (1.0, 4.0): 0.0815826557348, (1.0, 5.0): 0.0411037487403, (2.0, 3.0): 0.121583440646, (4.0, 3.0): 0.121583440646, (1.0, 7.0): 0.0106031599826, (3.0, 7.0): 0.0082159395241, (5.0, 3.0): 0.121914574044, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0411037487403, }, ]
+55 Stop [{(2.0, 7.0): 0.00810465993095, (4.0, 7.0): 0.00810465993095, (1.0, 3.0): 0.121957332764, (3.0, 3.0): 0.121543316505, (1.0, 6.0): 0.0207813876741, (5.0, 6.0): 0.0207813876741, (5.0, 7.0): 0.0105698839207, (5.0, 4.0): 0.0815857296519, (1.0, 4.0): 0.0815857296519, (1.0, 5.0): 0.0410793421143, (2.0, 3.0): 0.121653694304, (4.0, 3.0): 0.121653694304, (1.0, 7.0): 0.0105698839207, (3.0, 7.0): 0.00816909336258, (5.0, 3.0): 0.121957332764, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410793421143, }, ]
+56 Stop [{(2.0, 7.0): 0.00806705541135, (4.0, 7.0): 0.00806705541135, (1.0, 3.0): 0.121996540515, (3.0, 3.0): 0.121616901705, (1.0, 6.0): 0.0207501244074, (5.0, 6.0): 0.0207501244074, (5.0, 7.0): 0.010539371209, (5.0, 4.0): 0.0815885477248, (1.0, 4.0): 0.0815885477248, (1.0, 5.0): 0.0410569617786, (2.0, 3.0): 0.121718114524, (4.0, 3.0): 0.121718114524, (1.0, 7.0): 0.010539371209, (3.0, 7.0): 0.0081261377415, (5.0, 3.0): 0.121996540515, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410569617786, }, ]
+57 Stop [{(2.0, 7.0): 0.0080325738532, (4.0, 7.0): 0.0080325738532, (1.0, 3.0): 0.122032492209, (3.0, 3.0): 0.121684376918, (1.0, 6.0): 0.020721457151, (5.0, 6.0): 0.020721457151, (5.0, 7.0): 0.0105113923746, (5.0, 4.0): 0.0815911313257, (1.0, 4.0): 0.0815911313257, (1.0, 5.0): 0.0410364395796, (2.0, 3.0): 0.121777185581, (4.0, 3.0): 0.121777185581, (1.0, 7.0): 0.0105113923746, (3.0, 7.0): 0.0080867495214, (5.0, 3.0): 0.122032492209, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410364395796, }, ]
+58 Stop [{(2.0, 7.0): 0.00800095588517, (4.0, 7.0): 0.00800095588517, (1.0, 3.0): 0.12206545826, (3.0, 3.0): 0.12174624936, (1.0, 6.0): 0.0206951703699, (5.0, 6.0): 0.0206951703699, (5.0, 7.0): 0.0104857369991, (5.0, 4.0): 0.0815935000242, (1.0, 4.0): 0.0815935000242, (1.0, 5.0): 0.0410176213018, (2.0, 3.0): 0.121831351569, (4.0, 3.0): 0.121831351569, (1.0, 7.0): 0.0104857369991, (3.0, 7.0): 0.00805063240927, (5.0, 3.0): 0.12206545826, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410176213018, }, ]
+59 Stop [{(2.0, 7.0): 0.00797196368126, (4.0, 7.0): 0.00797196368126, (1.0, 3.0): 0.122095686622, (3.0, 3.0): 0.121802984166, (1.0, 6.0): 0.0206710664175, (5.0, 6.0): 0.0206710664175, (5.0, 7.0): 0.0104622121373, (5.0, 4.0): 0.0815956717435, (1.0, 4.0): 0.0815956717435, (1.0, 5.0): 0.0410003655165, (2.0, 3.0): 0.12188101973, (4.0, 3.0): 0.12188101973, (1.0, 7.0): 0.0104622121373, (3.0, 7.0): 0.00801751472654, (5.0, 3.0): 0.122095686622, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0410003655165, }, ]
+60 Stop [{(2.0, 7.0): 0.00794537917027, (4.0, 7.0): 0.00794537917027, (1.0, 3.0): 0.122123404656, (3.0, 3.0): 0.121855007875, (1.0, 6.0): 0.0206489640522, (5.0, 6.0): 0.0206489640522, (5.0, 7.0): 0.0104406408658, (5.0, 4.0): 0.0815976629014, (1.0, 4.0): 0.0815976629014, (1.0, 5.0): 0.0409845425237, (2.0, 3.0): 0.121926563506, (4.0, 3.0): 0.121926563506, (1.0, 7.0): 0.0104406408658, (3.0, 7.0): 0.00798714736302, (5.0, 3.0): 0.122123404656, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409845425237, }, ]
+61 Stop [{(2.0, 7.0): 0.00792100239421, (4.0, 7.0): 0.00792100239421, (1.0, 3.0): 0.122148820838, (3.0, 3.0): 0.121902711629, (1.0, 6.0): 0.0206286970769, (5.0, 6.0): 0.0206286970769, (5.0, 7.0): 0.0104208609529, (5.0, 4.0): 0.0815994885391, (1.0, 4.0): 0.0815994885391, (1.0, 5.0): 0.0409700333824, (2.0, 3.0): 0.121968325346, (4.0, 3.0): 0.121968325346, (1.0, 7.0): 0.0104208609529, (3.0, 7.0): 0.00795930190118, (5.0, 3.0): 0.122148820838, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409700333824, }, ]
+62 Stop [{(2.0, 7.0): 0.00789865000336, (4.0, 7.0): 0.00789865000336, (1.0, 3.0): 0.122172126331, (3.0, 3.0): 0.121946454107, (1.0, 6.0): 0.0206101130913, (5.0, 6.0): 0.0206101130913, (5.0, 7.0): 0.0104027236388, (5.0, 4.0): 0.0816011624386, (1.0, 4.0): 0.0816011624386, (1.0, 5.0): 0.0409567290188, (2.0, 3.0): 0.122006619271, (4.0, 3.0): 0.122006619271, (1.0, 7.0): 0.0104027236388, (3.0, 7.0): 0.00793376889654, (5.0, 3.0): 0.122172126331, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409567290188, }, ]
+63 Stop [{(2.0, 7.0): 0.00787815387634, (4.0, 7.0): 0.00787815387634, (1.0, 3.0): 0.12219349642, (3.0, 3.0): 0.121986564216, (1.0, 6.0): 0.0205930723469, (5.0, 6.0): 0.0205930723469, (5.0, 7.0): 0.010386092517, (5.0, 4.0): 0.0816026972293, (1.0, 4.0): 0.0816026972293, (1.0, 5.0): 0.04094452941, (2.0, 3.0): 0.122041733236, (4.0, 3.0): 0.122041733236, (1.0, 7.0): 0.010386092517, (3.0, 7.0): 0.00791035630108, (5.0, 3.0): 0.12219349642, (1, 1): 0.0588235294118, (5.0, 5.0): 0.04094452941, }, ]
+64 Stop [{(2.0, 7.0): 0.00785935985505, (4.0, 7.0): 0.00785935985505, (1.0, 3.0): 0.122213091833, (3.0, 3.0): 0.122023343563, (1.0, 6.0): 0.0205774466977, (5.0, 6.0): 0.0205774466977, (5.0, 7.0): 0.0103708425081, (5.0, 4.0): 0.0816041044856, (1.0, 4.0): 0.0816041044856, (1.0, 5.0): 0.0409333428333, (2.0, 3.0): 0.122073931291, (4.0, 3.0): 0.122073931291, (1.0, 7.0): 0.0103708425081, (3.0, 7.0): 0.00788888801792, (5.0, 3.0): 0.122213091833, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409333428333, }, ]
+65 Stop [{(2.0, 7.0): 0.00784212658468, (4.0, 7.0): 0.00784212658468, (1.0, 3.0): 0.122231059951, (3.0, 3.0): 0.122057068715, (1.0, 6.0): 0.0205631186368, (5.0, 6.0): 0.0205631186368, (5.0, 7.0): 0.0103568589198, (5.0, 4.0): 0.0816053948158, (1.0, 4.0): 0.0816053948158, (1.0, 5.0): 0.0409230851786, (2.0, 3.0): 0.122103455562, (4.0, 3.0): 0.122103455562, (1.0, 7.0): 0.0103568589198, (3.0, 7.0): 0.00786920257601, (5.0, 3.0): 0.122231059951, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0409230851786, }, ]
+66 Stop [{(2.0, 7.0): 0.00782632445018, (4.0, 7.0): 0.00782632445018, (1.0, 3.0): 0.122247535912, (3.0, 3.0): 0.12208799328, (1.0, 6.0): 0.0205499804137, (5.0, 6.0): 0.0205499804137, (5.0, 7.0): 0.010344036584, (5.0, 4.0): 0.0816065779435, (1.0, 4.0): 0.0816065779435, (1.0, 5.0): 0.040913679317, (2.0, 3.0): 0.122130528076, (4.0, 3.0): 0.122130528076, (1.0, 7.0): 0.010344036584, (3.0, 7.0): 0.00785115191513, (5.0, 3.0): 0.122247535912, (1, 1): 0.0588235294118, (5.0, 5.0): 0.040913679317, }, ]
+67 Stop [{(2.0, 7.0): 0.00781183460111, (4.0, 7.0): 0.00781183460111, (1.0, 3.0): 0.122262643634, (3.0, 3.0): 0.122116349811, (1.0, 6.0): 0.0205379332247, (5.0, 6.0): 0.0205379332247, (5.0, 7.0): 0.0103322790662, (5.0, 4.0): 0.0816076627818, (1.0, 4.0): 0.0816076627818, (1.0, 5.0): 0.040905054522, (2.0, 3.0): 0.122155352423, (4.0, 3.0): 0.122155352423, (1.0, 7.0): 0.0103322790662, (3.0, 7.0): 0.00783460027183, (5.0, 3.0): 0.122262643634, (1, 1): 0.0588235294118, (5.0, 5.0): 0.040905054522, }, ]
+68 Stop [{(2.0, 7.0): 0.00779854805753, (4.0, 7.0): 0.00779854805753, (1.0, 3.0): 0.122276496743, (3.0, 3.0): 0.122142351552, (1.0, 6.0): 0.0205268864698, (5.0, 6.0): 0.0205268864698, (5.0, 7.0): 0.0103214979398, (5.0, 4.0): 0.0816086575013, (1.0, 4.0): 0.0816086575013, (1.0, 5.0): 0.0408971459383, (2.0, 3.0): 0.122178115289, (4.0, 3.0): 0.122178115289, (1.0, 7.0): 0.0103214979398, (3.0, 7.0): 0.00781942315802, (5.0, 3.0): 0.122276496743, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408971459383, }, ]
+69 Stop [{(2.0, 7.0): 0.00778636489012, (4.0, 7.0): 0.00778636489012, (1.0, 3.0): 0.122289199428, (3.0, 3.0): 0.122166194043, (1.0, 6.0): 0.0205167570719, (5.0, 6.0): 0.0205167570719, (5.0, 7.0): 0.0103116121216, (5.0, 4.0): 0.0816095695922, (1.0, 4.0): 0.0816095695922, (1.0, 5.0): 0.0408898940948, (2.0, 3.0): 0.122198987861, (4.0, 3.0): 0.122198987861, (1.0, 7.0): 0.0103116121216, (3.0, 7.0): 0.00780550642436, (5.0, 3.0): 0.122289199428, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408898940948, }, ]
+70 Stop [{(2.0, 7.0): 0.00777519346855, (4.0, 7.0): 0.00777519346855, (1.0, 3.0): 0.122300847226, (3.0, 3.0): 0.122188056589, (1.0, 6.0): 0.0205074688524, (5.0, 6.0): 0.0205074688524, (5.0, 7.0): 0.0103025472617, (5.0, 4.0): 0.0816104059215, (1.0, 4.0): 0.0816104059215, (1.0, 5.0): 0.0408832444577, (2.0, 3.0): 0.122218127111, (4.0, 3.0): 0.122218127111, (1.0, 7.0): 0.0103025472617, (3.0, 7.0): 0.00779274540153, (5.0, 3.0): 0.122300847226, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408832444577, }, ]
+71 Stop [{(2.0, 7.0): 0.00776494977213, (4.0, 7.0): 0.00776494977213, (1.0, 3.0): 0.12231152774, (3.0, 3.0): 0.122208103604, (1.0, 6.0): 0.0204989519584, (5.0, 6.0): 0.0204989519584, (5.0, 7.0): 0.0102942351847, (5.0, 4.0): 0.0816111727846, (1.0, 4.0): 0.0816111727846, (1.0, 5.0): 0.040877147021, (2.0, 3.0): 0.122235676975, (4.0, 3.0): 0.122235676975, (1.0, 7.0): 0.0102942351847, (3.0, 7.0): 0.00778104411288, (5.0, 3.0): 0.12231152774, (1, 1): 0.0588235294118, (5.0, 5.0): 0.040877147021, }, ]
+72 Stop [{(2.0, 7.0): 0.00775555675785, (4.0, 7.0): 0.00775555675785, (1.0, 3.0): 0.122321321297, (3.0, 3.0): 0.122226485851, (1.0, 6.0): 0.0204911423372, (5.0, 6.0): 0.0204911423372, (5.0, 7.0): 0.0102866133765, (5.0, 4.0): 0.0816118759532, (1.0, 4.0): 0.0816118759532, (1.0, 5.0): 0.0408715559306, (2.0, 3.0): 0.12225176944, (4.0, 3.0): 0.12225176944, (1.0, 7.0): 0.0102866133765, (3.0, 7.0): 0.00777031455238, (5.0, 3.0): 0.122321321297, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408715559306, }, ]
+73 Stop [{(2.0, 7.0): 0.00774694378087, (4.0, 7.0): 0.00774694378087, (1.0, 3.0): 0.122330301556, (3.0, 3.0): 0.122243341577, (1.0, 6.0): 0.0204839812552, (5.0, 6.0): 0.0204839812552, (5.0, 7.0): 0.0102796245144, (5.0, 4.0): 0.0816125207194, (1.0, 4.0): 0.0816125207194, (1.0, 5.0): 0.0408664291396, (2.0, 3.0): 0.122266525529, (4.0, 3.0): 0.122266525529, (1.0, 7.0): 0.0102796245144, (3.0, 7.0): 0.00776047602269, (5.0, 3.0): 0.122330301556, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408664291396, }, ]
+74 Stop [{(2.0, 7.0): 0.00773904606311, (4.0, 7.0): 0.00773904606311, (1.0, 3.0): 0.122338536055, (3.0, 3.0): 0.122258797545, (1.0, 6.0): 0.0204774148559, (5.0, 6.0): 0.0204774148559, (5.0, 7.0): 0.010273216036, (5.0, 4.0): 0.0816131119348, (1.0, 4.0): 0.0816131119348, (1.0, 5.0): 0.0408617280923, (2.0, 3.0): 0.122280056221, (4.0, 3.0): 0.122280056221, (1.0, 7.0): 0.010273216036, (3.0, 7.0): 0.00775145452814, (5.0, 3.0): 0.122338536055, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408617280923, }, ]
+75 Stop [{(2.0, 7.0): 0.00773180420609, (4.0, 7.0): 0.00773180420609, (1.0, 3.0): 0.122346086726, (3.0, 3.0): 0.122272969995, (1.0, 6.0): 0.0204713937551, (5.0, 6.0): 0.0204713937551, (5.0, 7.0): 0.010267339744, (5.0, 4.0): 0.0816136540481, (1.0, 4.0): 0.0816136540481, (1.0, 5.0): 0.0408574174347, (2.0, 3.0): 0.122292463273, (4.0, 3.0): 0.122292463273, (1.0, 7.0): 0.010267339744, (3.0, 7.0): 0.00774318221812, (5.0, 3.0): 0.122346086726, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408574174347, }, ]
+76 None [{(2.0, 7.0): 0.00773180420609, (4.0, 7.0): 0.00773180420609, (1.0, 3.0): 0.122346086726, (3.0, 3.0): 0.122272969995, (1.0, 6.0): 0.0204713937551, (5.0, 6.0): 0.0204713937551, (5.0, 7.0): 0.010267339744, (5.0, 4.0): 0.0816136540481, (1.0, 4.0): 0.0816136540481, (1.0, 5.0): 0.0408574174347, (2.0, 3.0): 0.122292463273, (4.0, 3.0): 0.122292463273, (1.0, 7.0): 0.010267339744, (3.0, 7.0): 0.00774318221812, (5.0, 3.0): 0.122346086726, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0408574174347, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/2-ExactPredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/2-ExactPredict.test
new file mode 100644
index 0000000..849d398
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/2-ExactPredict.test	
@@ -0,0 +1,29 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%
+%  G  %
+% %%% %
+% %P% %
+% %%% %
+%     %
+%%%%%%%
+% %%%%%
+%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "75"
+
+numGhosts: "1"
+ghost: "GoSouthAgent"
+errorMsg: "Exact inference elapseTime test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/3-ExactPredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/3-ExactPredict.solution
new file mode 100644
index 0000000..687b4e1
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/3-ExactPredict.solution	
@@ -0,0 +1,205 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 9): 0.0151515151515, (4, 7): 0.0151515151515, (4, 4): 0.0151515151515, (4, 8): 0.0151515151515, (5, 6): 0.0151515151515, (2, 8): 0.0151515151515, (3, 11): 0.0151515151515, (4, 6): 0.0151515151515, (8, 9): 0.0151515151515, (4, 12): 0.0151515151515, (2, 12): 0.0151515151515, (7, 11): 0.0151515151515, (3, 7): 0.0151515151515, (2, 5): 0.0151515151515, (1, 11): 0.0151515151515, (8, 5): 0.0151515151515, (5, 8): 0.0151515151515, (7, 5): 0.0151515151515, (4, 9): 0.0151515151515, (5, 5): 0.0151515151515, (2, 9): 0.0151515151515, (3, 10): 0.0151515151515, (6, 10): 0.0151515151515, (8, 10): 0.0151515151515, (1, 5): 0.0151515151515, (9, 11): 0.0151515151515, (4, 11): 0.0151515151515, (3, 6): 0.0151515151515, (8, 6): 0.0151515151515, (3, 5): 0.0151515151515, (9, 7): 0.0151515151515, (4, 10): 0.0151515151515, (2, 6): 0.0151515151515, (6, 6): 0.0151515151515, (8, 2): 0.0151515151515, (5, 11): 0.0151515151515, (4, 5): 0.0151515151515, (8, 11): 0.0151515151515, (6, 11): 0.0151515151515, (2, 7): 0.0151515151515, (7, 7): 0.0151515151515, (7, 10): 0.0151515151515, (3, 9): 0.0151515151515, (1, 9): 0.0151515151515, (8, 7): 0.0151515151515, (6, 12): 0.0151515151515, (6, 4): 0.0151515151515, (2, 10): 0.0151515151515, (6, 5): 0.0151515151515, (7, 9): 0.0151515151515, (6, 7): 0.0151515151515, (6, 9): 0.0151515151515, (5, 10): 0.0151515151515, (6, 8): 0.0151515151515, (8, 12): 0.0151515151515, (5, 7): 0.0151515151515, (2, 11): 0.0151515151515, (9, 9): 0.0151515151515, (2, 4): 0.0151515151515, (3, 8): 0.0151515151515, (8, 8): 0.0151515151515, (1, 7): 0.0151515151515, (9, 5): 0.0151515151515, (7, 8): 0.0151515151515, (7, 6): 0.0151515151515, (8, 4): 0.0151515151515, }, ]
+1 Stop [{(5, 9): 0.0151515151515, (4, 7): 0.0151515151515, (4, 4): 0.0151515151515, (4, 8): 0.0151515151515, (5, 6): 0.0151515151515, (2, 8): 0.0151515151515, (3, 11): 0.0151515151515, (4, 6): 0.0151515151515, (8, 9): 0.0151515151515, (4, 12): 0.0151515151515, (2, 12): 0.0151515151515, (7, 11): 0.0151515151515, (3, 7): 0.0151515151515, (2, 5): 0.0151515151515, (1, 11): 0.0151515151515, (8, 5): 0.0151515151515, (5, 8): 0.0151515151515, (7, 5): 0.0151515151515, (4, 9): 0.0151515151515, (5, 5): 0.0151515151515, (2, 9): 0.0151515151515, (3, 10): 0.0151515151515, (6, 10): 0.0151515151515, (8, 10): 0.0151515151515, (1, 5): 0.0151515151515, (9, 11): 0.0151515151515, (4, 11): 0.0151515151515, (3, 6): 0.0151515151515, (8, 6): 0.0151515151515, (3, 5): 0.0151515151515, (9, 7): 0.0151515151515, (4, 10): 0.0151515151515, (2, 6): 0.0151515151515, (6, 6): 0.0151515151515, (8, 2): 0.0151515151515, (5, 11): 0.0151515151515, (4, 5): 0.0151515151515, (8, 11): 0.0151515151515, (6, 11): 0.0151515151515, (2, 7): 0.0151515151515, (7, 7): 0.0151515151515, (7, 10): 0.0151515151515, (3, 9): 0.0151515151515, (1, 9): 0.0151515151515, (8, 7): 0.0151515151515, (6, 12): 0.0151515151515, (6, 4): 0.0151515151515, (2, 10): 0.0151515151515, (6, 5): 0.0151515151515, (7, 9): 0.0151515151515, (6, 7): 0.0151515151515, (6, 9): 0.0151515151515, (5, 10): 0.0151515151515, (6, 8): 0.0151515151515, (8, 12): 0.0151515151515, (5, 7): 0.0151515151515, (2, 11): 0.0151515151515, (9, 9): 0.0151515151515, (2, 4): 0.0151515151515, (3, 8): 0.0151515151515, (8, 8): 0.0151515151515, (1, 7): 0.0151515151515, (9, 5): 0.0151515151515, (7, 8): 0.0151515151515, (7, 6): 0.0151515151515, (8, 4): 0.0151515151515, }, ]
+2 Stop [{(5.0, 9.0): 0.0151515151515, (4.0, 7.0): 0.0151515151515, (6.0, 10.0): 0.0151515151515, (4.0, 8.0): 0.0151515151515, (5.0, 6.0): 0.0164141414141, (2.0, 8.0): 0.0131313131313, (3.0, 11.0): 0.0106060606061, (4.0, 6.0): 0.0151515151515, (8.0, 9.0): 0.0217171717172, (4.0, 12.0): 0.00757575757576, (2.0, 12.0): 0.00757575757576, (7.0, 11.0): 0.0106060606061, (3.0, 7.0): 0.0151515151515, (2.0, 5.0): 0.0275252525253, (1.0, 11.0): 0.010101010101, (8.0, 5.0): 0.0275252525253, (5.0, 8.0): 0.0151515151515, (7.0, 5.0): 0.0138888888889, (4.0, 9.0): 0.0151515151515, (5.0, 5.0): 0.0138888888889, (2.0, 9.0): 0.0217171717172, (3.0, 10.0): 0.0166666666667, (4.0, 4.0): 0.0126262626263, (8.0, 10.0): 0.0131313131313, (1.0, 5.0): 0.010101010101, (9.0, 11.0): 0.010101010101, (4.0, 11.0): 0.0212121212121, (3.0, 6.0): 0.0169191919192, (8.0, 6.0): 0.0131313131313, (3.0, 5.0): 0.0138888888889, (1, 1): 0.0151515151515, (9.0, 7.0): 0.010101010101, (4.0, 10.0): 0.0151515151515, (2.0, 6.0): 0.0131313131313, (6.0, 6.0): 0.0151515151515, (7.0, 10.0): 0.0166666666667, (5.0, 11.0): 0.0106060606061, (4.0, 5.0): 0.0227272727273, (8.0, 11.0): 0.0262626262626, (6.0, 11.0): 0.0212121212121, (2.0, 7.0): 0.0217171717172, (7.0, 7.0): 0.0151515151515, (3.0, 9.0): 0.0151515151515, (1.0, 9.0): 0.010101010101, (8.0, 7.0): 0.0217171717172, (6.0, 12.0): 0.00757575757576, (6.0, 4.0): 0.0126262626263, (2.0, 10.0): 0.0131313131313, (6.0, 5.0): 0.0227272727273, (7.0, 9.0): 0.0151515151515, (6.0, 7.0): 0.0151515151515, (6.0, 9.0): 0.0151515151515, (5.0, 10.0): 0.0161616161616, (6.0, 8.0): 0.0151515151515, (8.0, 12.0): 0.00757575757576, (5.0, 7.0): 0.0151515151515, (2.0, 11.0): 0.0262626262626, (9.0, 9.0): 0.010101010101, (2.0, 4.0): 0.0126262626263, (3.0, 8.0): 0.0156565656566, (8.0, 8.0): 0.0131313131313, (1.0, 7.0): 0.010101010101, (9.0, 5.0): 0.010101010101, (7.0, 8.0): 0.0156565656566, (7.0, 6.0): 0.0169191919192, (8.0, 4.0): 0.0126262626263, }, ]
+3 Stop [{(5.0, 9.0): 0.0154882154882, (4.0, 7.0): 0.0151515151515, (6.0, 10.0): 0.0175925925926, (4.0, 8.0): 0.0152356902357, (5.0, 6.0): 0.0163089225589, (2.0, 8.0): 0.0160942760943, (3.0, 11.0): 0.0128114478114, (4.0, 6.0): 0.0169191919192, (8.0, 9.0): 0.0190740740741, (4.0, 12.0): 0.00606060606061, (2.0, 12.0): 0.00690235690236, (7.0, 11.0): 0.0128114478114, (3.0, 7.0): 0.0167087542088, (2.0, 5.0): 0.0246759259259, (1.0, 11.0): 0.00942760942761, (8.0, 5.0): 0.0246759259259, (5.0, 8.0): 0.0151515151515, (7.0, 5.0): 0.0174873737374, (4.0, 9.0): 0.0151515151515, (5.0, 5.0): 0.0165193602694, (2.0, 9.0): 0.0190740740741, (3.0, 10.0): 0.014696969697, (4.0, 4.0): 0.0138888888889, (8.0, 10.0): 0.0177777777778, (1.0, 5.0): 0.00963804713805, (9.0, 11.0): 0.00942760942761, (4.0, 11.0): 0.0153535353535, (3.0, 6.0): 0.0164941077441, (8.0, 6.0): 0.0172727272727, (3.0, 5.0): 0.0174873737374, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00867003367003, (4.0, 10.0): 0.0175925925926, (2.0, 6.0): 0.0172727272727, (6.0, 6.0): 0.0169191919192, (7.0, 10.0): 0.014696969697, (5.0, 11.0): 0.0118855218855, (4.0, 5.0): 0.022095959596, (8.0, 11.0): 0.0192255892256, (6.0, 11.0): 0.0153535353535, (2.0, 7.0): 0.0190740740741, (7.0, 7.0): 0.0167087542088, (3.0, 9.0): 0.016835016835, (1.0, 9.0): 0.00867003367003, (8.0, 7.0): 0.0190740740741, (6.0, 12.0): 0.00606060606061, (6.0, 4.0): 0.0138888888889, (2.0, 10.0): 0.0177777777778, (6.0, 5.0): 0.022095959596, (7.0, 9.0): 0.016835016835, (6.0, 7.0): 0.0151515151515, (6.0, 9.0): 0.0151515151515, (5.0, 10.0): 0.0145117845118, (6.0, 8.0): 0.0152356902357, (8.0, 12.0): 0.00690235690236, (5.0, 7.0): 0.015361952862, (2.0, 11.0): 0.0192255892256, (9.0, 9.0): 0.00867003367003, (2.0, 4.0): 0.0154882154882, (3.0, 8.0): 0.0153367003367, (8.0, 8.0): 0.0160942760943, (1.0, 7.0): 0.00867003367003, (9.0, 5.0): 0.00963804713805, (7.0, 8.0): 0.0153367003367, (7.0, 6.0): 0.0164941077441, (8.0, 4.0): 0.0154882154882, }, ]
+4 Stop [{(5.0, 9.0): 0.0149943883277, (4.0, 7.0): 0.0157687991021, (6.0, 10.0): 0.01544332211, (4.0, 8.0): 0.0151964085297, (5.0, 6.0): 0.0176083754209, (2.0, 8.0): 0.0153120089787, (3.0, 11.0): 0.0107749719416, (4.0, 6.0): 0.0170202020202, (8.0, 9.0): 0.0206498316498, (4.0, 12.0): 0.00457912457912, (2.0, 12.0): 0.00550505050505, (7.0, 11.0): 0.0107749719416, (3.0, 7.0): 0.016350308642, (2.0, 5.0): 0.0279567199776, (1.0, 11.0): 0.00791806958474, (8.0, 5.0): 0.0279567199776, (5.0, 8.0): 0.0153268799102, (7.0, 5.0): 0.0176651936027, (4.0, 9.0): 0.0163159371493, (5.0, 5.0): 0.0169314674523, (2.0, 9.0): 0.0206498316498, (3.0, 10.0): 0.0168675645342, (4.0, 4.0): 0.0143097643098, (8.0, 10.0): 0.0155925925926, (1.0, 5.0): 0.00893167789001, (9.0, 11.0): 0.00791806958474, (4.0, 11.0): 0.0144708193042, (3.0, 6.0): 0.0189648569024, (8.0, 6.0): 0.0166742424242, (3.0, 5.0): 0.0176651936027, (1, 1): 0.0151515151515, (9.0, 7.0): 0.0075140291807, (4.0, 10.0): 0.01544332211, (2.0, 6.0): 0.0166742424242, (6.0, 6.0): 0.0170202020202, (7.0, 10.0): 0.0168675645342, (5.0, 11.0): 0.00991358024691, (4.0, 5.0): 0.0247685185185, (8.0, 11.0): 0.0186374859708, (6.0, 11.0): 0.0144708193042, (2.0, 7.0): 0.0201910774411, (7.0, 7.0): 0.016350308642, (3.0, 9.0): 0.0159652076319, (1.0, 9.0): 0.0075140291807, (8.0, 7.0): 0.0201910774411, (6.0, 12.0): 0.00457912457912, (6.0, 4.0): 0.0143097643098, (2.0, 10.0): 0.0155925925926, (6.0, 5.0): 0.0247685185185, (7.0, 9.0): 0.0159652076319, (6.0, 7.0): 0.0157687991021, (6.0, 9.0): 0.0163159371493, (5.0, 10.0): 0.0156184062851, (6.0, 8.0): 0.0151964085297, (8.0, 12.0): 0.00550505050505, (5.0, 7.0): 0.0153794893378, (2.0, 11.0): 0.0186374859708, (9.0, 9.0): 0.0075140291807, (2.0, 4.0): 0.0159694163861, (3.0, 8.0): 0.0167107182941, (8.0, 8.0): 0.0153120089787, (1.0, 7.0): 0.0075140291807, (9.0, 5.0): 0.00893167789001, (7.0, 8.0): 0.0167107182941, (7.0, 6.0): 0.0189648569024, (8.0, 4.0): 0.0159694163861, }, ]
+5 Stop [{(5.0, 9.0): 0.0156983258511, (4.0, 7.0): 0.0158186026936, (6.0, 10.0): 0.0155311447811, (4.0, 8.0): 0.0159391133558, (5.0, 6.0): 0.0179674932192, (2.0, 8.0): 0.0160959783015, (3.0, 11.0): 0.0104843060232, (4.0, 6.0): 0.0183165918444, (8.0, 9.0): 0.0191589599701, (4.0, 12.0): 0.00393817807707, (2.0, 12.0): 0.00494126449682, (7.0, 11.0): 0.0104843060232, (3.0, 7.0): 0.0174494131126, (2.0, 5.0): 0.028195995838, (1.0, 11.0): 0.00706528245417, (8.0, 5.0): 0.028195995838, (5.0, 8.0): 0.0151813271605, (7.0, 5.0): 0.0195254571175, (4.0, 9.0): 0.0155597643098, (5.0, 5.0): 0.0183584981762, (2.0, 9.0): 0.0191589599701, (3.0, 10.0): 0.0154745230079, (4.0, 4.0): 0.0154110549944, (8.0, 10.0): 0.0155839132061, (1.0, 5.0): 0.0091252922746, (9.0, 11.0): 0.00706528245417, (4.0, 11.0): 0.0121761503928, (3.0, 6.0): 0.0191987595866, (8.0, 6.0): 0.0178854704452, (3.0, 5.0): 0.0195254571175, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00712219416386, (4.0, 10.0): 0.0155311447811, (2.0, 6.0): 0.0178854704452, (6.0, 6.0): 0.0183165918444, (7.0, 10.0): 0.0154745230079, (5.0, 11.0): 0.00940939019828, (4.0, 5.0): 0.0256055345118, (8.0, 11.0): 0.0160088290311, (6.0, 11.0): 0.0121761503928, (2.0, 7.0): 0.0193068976805, (7.0, 7.0): 0.0174494131126, (3.0, 9.0): 0.0172294706322, (1.0, 9.0): 0.00719865319865, (8.0, 7.0): 0.0193068976805, (6.0, 12.0): 0.00393817807707, (6.0, 4.0): 0.0154110549944, (2.0, 10.0): 0.0155839132061, (6.0, 5.0): 0.0256055345118, (7.0, 9.0): 0.0172294706322, (6.0, 7.0): 0.0158186026936, (6.0, 9.0): 0.0155597643098, (5.0, 10.0): 0.0142153385709, (6.0, 8.0): 0.0159391133558, (8.0, 12.0): 0.00494126449682, (5.0, 7.0): 0.0158632037972, (2.0, 11.0): 0.0160088290311, (9.0, 9.0): 0.00719865319865, (2.0, 4.0): 0.0173036148522, (3.0, 8.0): 0.016427043584, (8.0, 8.0): 0.0160959783015, (1.0, 7.0): 0.00712219416386, (9.0, 5.0): 0.0091252922746, (7.0, 8.0): 0.016427043584, (7.0, 6.0): 0.0191987595866, (8.0, 4.0): 0.0173036148522, }, ]
+6 Stop [{(5.0, 9.0): 0.0150716431288, (4.0, 7.0): 0.0165543396932, (6.0, 10.0): 0.0141888452425, (4.0, 8.0): 0.0157476025689, (5.0, 6.0): 0.0189774719611, (2.0, 8.0): 0.0155611725277, (3.0, 11.0): 0.00937344494326, (4.0, 6.0): 0.0187875974249, (8.0, 9.0): 0.0191168259758, (4.0, 12.0): 0.00334208442449, (2.0, 12.0): 0.00431522633745, (7.0, 11.0): 0.00937344494326, (3.0, 7.0): 0.0174379600402, (2.0, 5.0): 0.0299493386605, (1.0, 11.0): 0.00620077939893, (8.0, 5.0): 0.0299493386605, (5.0, 8.0): 0.0157199015619, (7.0, 5.0): 0.0202478725332, (4.0, 9.0): 0.0159148272852, (5.0, 5.0): 0.0191139671211, (2.0, 9.0): 0.0191168259758, (3.0, 10.0): 0.0153496947874, (4.0, 4.0): 0.0162407056678, (8.0, 10.0): 0.0142253061479, (1.0, 5.0): 0.00926197877697, (9.0, 11.0): 0.00620077939893, (4.0, 11.0): 0.0112220738247, (3.0, 6.0): 0.0205274879778, (8.0, 6.0): 0.0179118525533, (3.0, 5.0): 0.0202478725332, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00677891336202, (4.0, 10.0): 0.0141888452425, (2.0, 6.0): 0.0179118525533, (6.0, 6.0): 0.0187875974249, (7.0, 10.0): 0.0153496947874, (5.0, 11.0): 0.00830981793241, (4.0, 5.0): 0.0275496360207, (8.0, 11.0): 0.014708599576, (6.0, 11.0): 0.0112220738247, (2.0, 7.0): 0.0197026342904, (7.0, 7.0): 0.0174379600402, (3.0, 9.0): 0.0165540474186, (1.0, 9.0): 0.00679248659434, (8.0, 7.0): 0.0197026342904, (6.0, 12.0): 0.00334208442449, (6.0, 4.0): 0.0162407056678, (2.0, 10.0): 0.0142253061479, (6.0, 5.0): 0.0275496360207, (7.0, 9.0): 0.0165540474186, (6.0, 7.0): 0.0165543396932, (6.0, 9.0): 0.0159148272852, (5.0, 10.0): 0.0139264150767, (6.0, 8.0): 0.0157476025689, (8.0, 12.0): 0.00431522633745, (5.0, 7.0): 0.0159717594541, (2.0, 11.0): 0.014708599576, (9.0, 9.0): 0.00679248659434, (2.0, 4.0): 0.0180504727054, (3.0, 8.0): 0.0172649475465, (8.0, 8.0): 0.0155611725277, (1.0, 7.0): 0.00677891336202, (9.0, 5.0): 0.00926197877697, (7.0, 8.0): 0.0172649475465, (7.0, 6.0): 0.0205274879778, (8.0, 4.0): 0.0180504727054, }, ]
+7 Stop [{(5.0, 9.0): 0.0150790049024, (4.0, 7.0): 0.0167078102917, (6.0, 10.0): 0.0136373216735, (4.0, 8.0): 0.0161860743235, (5.0, 6.0): 0.0195278560668, (2.0, 8.0): 0.0156457734703, (3.0, 11.0): 0.00875475035333, (4.0, 6.0): 0.0198251454618, (8.0, 9.0): 0.0181437458276, (4.0, 12.0): 0.00298437377894, (2.0, 12.0): 0.00388984204182, (7.0, 11.0): 0.00875475035333, (3.0, 7.0): 0.0181253861824, (2.0, 5.0): 0.0308744913393, (1.0, 11.0): 0.00555182296213, (8.0, 5.0): 0.0308744913393, (5.0, 8.0): 0.0155550254019, (7.0, 5.0): 0.0214876265728, (4.0, 9.0): 0.0152776351478, (5.0, 5.0): 0.0202875277742, (2.0, 9.0): 0.0181437458276, (3.0, 10.0): 0.014276537115, (4.0, 4.0): 0.0173035648408, (8.0, 10.0): 0.0134923478821, (1.0, 5.0): 0.0096225458319, (9.0, 11.0): 0.00555182296213, (4.0, 11.0): 0.009999862036, (3.0, 6.0): 0.0210095062245, (8.0, 6.0): 0.0185627197139, (3.0, 5.0): 0.0214876265728, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00667322906275, (4.0, 10.0): 0.0136373216735, (2.0, 6.0): 0.0185627197139, (6.0, 6.0): 0.0198251454618, (7.0, 10.0): 0.014276537115, (5.0, 11.0): 0.00772372404082, (4.0, 5.0): 0.0288149512259, (8.0, 11.0): 0.0131483907387, (6.0, 11.0): 0.009999862036, (2.0, 7.0): 0.0193863952579, (7.0, 7.0): 0.0181253861824, (3.0, 9.0): 0.0165916729668, (1.0, 9.0): 0.0065823809598, (8.0, 7.0): 0.0193863952579, (6.0, 12.0): 0.00298437377894, (6.0, 4.0): 0.0173035648408, (2.0, 10.0): 0.0134923478821, (6.0, 5.0): 0.0288149512259, (7.0, 9.0): 0.0165916729668, (6.0, 7.0): 0.0167078102917, (6.0, 9.0): 0.0152776351478, (5.0, 10.0): 0.0128865519547, (6.0, 8.0): 0.0161860743235, (8.0, 12.0): 0.00388984204182, (5.0, 7.0): 0.0165829523209, (2.0, 11.0): 0.0131483907387, (9.0, 9.0): 0.0065823809598, (2.0, 4.0): 0.0190083492396, (3.0, 8.0): 0.017038668671, (8.0, 8.0): 0.0156457734703, (1.0, 7.0): 0.00667322906275, (9.0, 5.0): 0.0096225458319, (7.0, 8.0): 0.017038668671, (7.0, 6.0): 0.0210095062245, (8.0, 4.0): 0.0190083492396, }, ]
+8 Stop [{(5.0, 9.0): 0.0144937340849, (4.0, 7.0): 0.0172689071506, (6.0, 10.0): 0.0126796283272, (4.0, 8.0): 0.0160071414973, (5.0, 6.0): 0.0204625572156, (2.0, 8.0): 0.0152479139581, (3.0, 11.0): 0.00798841505227, (4.0, 6.0): 0.0204321799271, (8.0, 9.0): 0.0176065207925, (4.0, 12.0): 0.00266143493231, (2.0, 12.0): 0.00348801247038, (7.0, 11.0): 0.00798841505227, (3.0, 7.0): 0.0182177392164, (2.0, 5.0): 0.032258190621, (1.0, 11.0): 0.00496730993751, (8.0, 5.0): 0.032258190621, (5.0, 8.0): 0.0157780226958, (7.0, 5.0): 0.0223233158122, (4.0, 9.0): 0.0150681717813, (5.0, 5.0): 0.0211861510411, (2.0, 9.0): 0.0176065207925, (3.0, 10.0): 0.0136179583436, (4.0, 4.0): 0.0182567661624, (8.0, 10.0): 0.0124846469797, (1.0, 5.0): 0.00995702147249, (9.0, 11.0): 0.00496730993751, (4.0, 11.0): 0.00922480801638, (3.0, 6.0): 0.0219320212612, (8.0, 6.0): 0.0188220086227, (3.0, 5.0): 0.0223233158122, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00656768040769, (4.0, 10.0): 0.0126796283272, (2.0, 6.0): 0.0188220086227, (6.0, 6.0): 0.0204321799271, (7.0, 10.0): 0.0136179583436, (5.0, 11.0): 0.00702579081262, (4.0, 5.0): 0.0305064446987, (8.0, 11.0): 0.0120099576125, (6.0, 11.0): 0.00922480801638, (2.0, 7.0): 0.0195594314356, (7.0, 7.0): 0.0182177392164, (3.0, 9.0): 0.0159341328072, (1.0, 9.0): 0.00631514811784, (8.0, 7.0): 0.0195594314356, (6.0, 12.0): 0.00266143493231, (6.0, 4.0): 0.0182567661624, (2.0, 10.0): 0.0124846469797, (6.0, 5.0): 0.0305064446987, (7.0, 9.0): 0.0159341328072, (6.0, 7.0): 0.0172689071506, (6.0, 9.0): 0.0150681717813, (5.0, 10.0): 0.0122961896504, (6.0, 8.0): 0.0160071414973, (8.0, 12.0): 0.00348801247038, (5.0, 7.0): 0.0167727466292, (2.0, 11.0): 0.0120099576125, (9.0, 9.0): 0.00631514811784, (2.0, 4.0): 0.0197956717329, (3.0, 8.0): 0.0172180672125, (8.0, 8.0): 0.0152479139581, (1.0, 7.0): 0.00656768040769, (9.0, 5.0): 0.00995702147249, (7.0, 8.0): 0.0172180672125, (7.0, 6.0): 0.0219320212612, (8.0, 4.0): 0.0197956717329, }, ]
+9 Stop [{(5.0, 9.0): 0.0141667466073, (4.0, 7.0): 0.0174509759863, (6.0, 10.0): 0.0120185940225, (4.0, 8.0): 0.0160680803531, (5.0, 6.0): 0.0211086061483, (2.0, 8.0): 0.0150480061638, (3.0, 11.0): 0.0074064703392, (4.0, 6.0): 0.021311836234, (8.0, 9.0): 0.0167911245757, (4.0, 12.0): 0.00242461298017, (2.0, 12.0): 0.00316433042554, (7.0, 11.0): 0.0074064703392, (3.0, 7.0): 0.0185690389148, (2.0, 5.0): 0.0333623441083, (1.0, 11.0): 0.00448531457083, (8.0, 5.0): 0.0333623441083, (5.0, 8.0): 0.0155920867482, (7.0, 5.0): 0.0233522752601, (4.0, 9.0): 0.0144770728042, (5.0, 5.0): 0.022286205065, (2.0, 9.0): 0.0167911245757, (3.0, 10.0): 0.0127309153299, (4.0, 4.0): 0.0192971979808, (8.0, 10.0): 0.0117043284561, (1.0, 5.0): 0.0103548758397, (9.0, 11.0): 0.00448531457083, (4.0, 11.0): 0.00842787051844, (3.0, 6.0): 0.0224785106144, (8.0, 6.0): 0.0193159141834, (3.0, 5.0): 0.0233522752601, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00654374544312, (4.0, 10.0): 0.0120185940225, (2.0, 6.0): 0.0193159141834, (6.0, 6.0): 0.021311836234, (7.0, 10.0): 0.0127309153299, (5.0, 11.0): 0.00652945910971, (4.0, 5.0): 0.0319008838866, (8.0, 11.0): 0.0109052686242, (6.0, 11.0): 0.00842787051844, (2.0, 7.0): 0.0194436026203, (7.0, 7.0): 0.0185690389148, (3.0, 9.0): 0.0155104682135, (1.0, 9.0): 0.00609199419101, (8.0, 7.0): 0.0194436026203, (6.0, 12.0): 0.00242461298017, (6.0, 4.0): 0.0192971979808, (2.0, 10.0): 0.0117043284561, (6.0, 5.0): 0.0319008838866, (7.0, 9.0): 0.0155104682135, (6.0, 7.0): 0.0174509759863, (6.0, 9.0): 0.0144770728042, (5.0, 10.0): 0.01150184639, (6.0, 8.0): 0.0160680803531, (8.0, 12.0): 0.00316433042554, (5.0, 7.0): 0.0172215272563, (2.0, 11.0): 0.0109052686242, (9.0, 9.0): 0.00609199419101, (2.0, 4.0): 0.0206505660734, (3.0, 8.0): 0.0169347850484, (8.0, 8.0): 0.0150480061638, (1.0, 7.0): 0.00654374544312, (9.0, 5.0): 0.0103548758397, (7.0, 8.0): 0.0169347850484, (7.0, 6.0): 0.0224785106144, (8.0, 4.0): 0.0206505660734, }, ]
+10 Stop [{(5.0, 9.0): 0.0136194452906, (4.0, 7.0): 0.0177815898496, (6.0, 10.0): 0.0112640282639, (4.0, 8.0): 0.0158333456241, (5.0, 6.0): 0.0219341067877, (2.0, 8.0): 0.0146697073694, (3.0, 11.0): 0.00682530314658, (4.0, 6.0): 0.0219502981427, (8.0, 9.0): 0.0161209285089, (4.0, 12.0): 0.00221284941313, (2.0, 12.0): 0.00287232157921, (7.0, 11.0): 0.00682530314658, (3.0, 7.0): 0.0186352830388, (2.0, 5.0): 0.0346275461297, (1.0, 11.0): 0.00406020205611, (8.0, 5.0): 0.0346275461297, (5.0, 8.0): 0.0155472113209, (7.0, 5.0): 0.0242081103523, (4.0, 9.0): 0.0140432593372, (5.0, 5.0): 0.0232413812779, (2.0, 9.0): 0.0161209285089, (3.0, 10.0): 0.0120134500879, (4.0, 4.0): 0.0202822269526, (8.0, 10.0): 0.0108962952169, (1.0, 5.0): 0.0107378286046, (9.0, 11.0): 0.00406020205611, (4.0, 11.0): 0.00781133863339, (3.0, 6.0): 0.0231893224314, (8.0, 6.0): 0.0196511928306, (3.0, 5.0): 0.0242081103523, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00651247315827, (4.0, 10.0): 0.0112640282639, (2.0, 6.0): 0.0196511928306, (6.0, 6.0): 0.0219502981427, (7.0, 10.0): 0.0120134500879, (5.0, 11.0): 0.00603215639309, (4.0, 5.0): 0.0334789784641, (8.0, 11.0): 0.00999191543221, (6.0, 11.0): 0.00781133863339, (2.0, 7.0): 0.0194896982796, (7.0, 7.0): 0.0186352830388, (3.0, 9.0): 0.0148625468836, (1.0, 9.0): 0.00584451785813, (8.0, 7.0): 0.0194896982796, (6.0, 12.0): 0.00221284941313, (6.0, 4.0): 0.0202822269526, (2.0, 10.0): 0.0108962952169, (6.0, 5.0): 0.0334789784641, (7.0, 9.0): 0.0148625468836, (6.0, 7.0): 0.0177815898496, (6.0, 9.0): 0.0140432593372, (5.0, 10.0): 0.0108960804843, (6.0, 8.0): 0.0158333456241, (8.0, 12.0): 0.00287232157921, (5.0, 7.0): 0.0174027098123, (2.0, 11.0): 0.00999191543221, (9.0, 9.0): 0.00584451785813, (2.0, 4.0): 0.0214460644062, (3.0, 8.0): 0.01677507469, (8.0, 8.0): 0.0146697073694, (1.0, 7.0): 0.00651247315827, (9.0, 5.0): 0.0107378286046, (7.0, 8.0): 0.01677507469, (7.0, 6.0): 0.0231893224314, (8.0, 4.0): 0.0214460644062, }, ]
+11 Stop [{(5.0, 9.0): 0.0131742227091, (4.0, 7.0): 0.0179060953486, (6.0, 10.0): 0.0106399159067, (4.0, 8.0): 0.0156706233598, (5.0, 6.0): 0.0225836991024, (2.0, 8.0): 0.0143517131385, (3.0, 11.0): 0.00633451132156, (4.0, 6.0): 0.0226859809208, (8.0, 9.0): 0.0153786310551, (4.0, 12.0): 0.00203950624327, (2.0, 12.0): 0.0026227597651, (7.0, 11.0): 0.00633451132156, (3.0, 7.0): 0.0187743404965, (2.0, 5.0): 0.035775708914, (1.0, 11.0): 0.00369542026676, (8.0, 5.0): 0.035775708914, (5.0, 8.0): 0.0153092504938, (7.0, 5.0): 0.0251328891642, (4.0, 9.0): 0.0134811089439, (5.0, 5.0): 0.0242813737367, (2.0, 9.0): 0.0153786310551, (3.0, 10.0): 0.0112660511746, (4.0, 4.0): 0.0213007729643, (8.0, 10.0): 0.0101989606202, (1.0, 5.0): 0.0111401719906, (9.0, 11.0): 0.00369542026676, (4.0, 11.0): 0.00722595266624, (3.0, 6.0): 0.0237172972628, (8.0, 6.0): 0.0200629494195, (3.0, 5.0): 0.0251328891642, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00650451962574, (4.0, 10.0): 0.0106399159067, (2.0, 6.0): 0.0200629494195, (6.0, 6.0): 0.0226859809208, (7.0, 10.0): 0.0112660511746, (5.0, 11.0): 0.00562622423713, (4.0, 5.0): 0.0349000821754, (8.0, 11.0): 0.00915462099225, (6.0, 11.0): 0.00722595266624, (2.0, 7.0): 0.0194085216461, (7.0, 7.0): 0.0187743404965, (3.0, 9.0): 0.0143047849326, (1.0, 9.0): 0.00560908034722, (8.0, 7.0): 0.0194085216461, (6.0, 12.0): 0.00203950624327, (6.0, 4.0): 0.0213007729643, (2.0, 10.0): 0.0101989606202, (6.0, 5.0): 0.0349000821754, (7.0, 9.0): 0.0143047849326, (6.0, 7.0): 0.0179060953486, (6.0, 9.0): 0.0134811089439, (5.0, 10.0): 0.0102534596077, (6.0, 8.0): 0.0156706233598, (8.0, 12.0): 0.0026227597651, (5.0, 7.0): 0.0176657364902, (2.0, 11.0): 0.00915462099225, (9.0, 9.0): 0.00560908034722, (2.0, 4.0): 0.0222655475796, (3.0, 8.0): 0.0164287409939, (8.0, 8.0): 0.0143517131385, (1.0, 7.0): 0.00650451962574, (9.0, 5.0): 0.0111401719906, (7.0, 8.0): 0.0164287409939, (7.0, 6.0): 0.0237172972628, (8.0, 4.0): 0.0222655475796, }, ]
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+13 Stop [{(5.0, 9.0): 0.012190537154, (4.0, 7.0): 0.0181102880645, (6.0, 10.0): 0.00946164859405, (4.0, 8.0): 0.0151067078106, (5.0, 6.0): 0.0238764551151, (2.0, 8.0): 0.0136089370979, (3.0, 11.0): 0.005469412262, (4.0, 6.0): 0.0238938287258, (8.0, 9.0): 0.0140220978936, (4.0, 12.0): 0.00174963073672, (2.0, 12.0): 0.00220478800633, (7.0, 11.0): 0.005469412262, (3.0, 7.0): 0.0187886306045, (2.0, 5.0): 0.0381087813453, (1.0, 11.0): 0.00309152034891, (8.0, 5.0): 0.0381087813453, (5.0, 8.0): 0.0148278856438, (7.0, 5.0): 0.0268140911315, (4.0, 9.0): 0.0124569544543, (5.0, 5.0): 0.0261970649534, (2.0, 9.0): 0.0140220978936, (3.0, 10.0): 0.0099749068257, (4.0, 4.0): 0.0232694156737, (8.0, 10.0): 0.00893438713695, (1.0, 5.0): 0.0119286654065, (9.0, 11.0): 0.00309152034891, (4.0, 11.0): 0.0062704145757, (3.0, 6.0): 0.0247591900399, (8.0, 6.0): 0.0207462489567, (3.0, 5.0): 0.0268140911315, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00647173092849, (4.0, 10.0): 0.00946164859405, (2.0, 6.0): 0.0207462489567, (6.0, 6.0): 0.0238938287258, (7.0, 10.0): 0.0099749068257, (5.0, 11.0): 0.00490867237671, (4.0, 5.0): 0.037766686697, (8.0, 11.0): 0.00777289314176, (6.0, 11.0): 0.0062704145757, (2.0, 7.0): 0.0192685708315, (7.0, 7.0): 0.0187886306045, (3.0, 9.0): 0.0131182264627, (1.0, 9.0): 0.00513410651596, (8.0, 7.0): 0.0192685708315, (6.0, 12.0): 0.00174963073672, (6.0, 4.0): 0.0232694156737, (2.0, 10.0): 0.00893438713695, (6.0, 5.0): 0.037766686697, (7.0, 9.0): 0.0131182264627, (6.0, 7.0): 0.0181102880645, (6.0, 9.0): 0.0124569544543, (5.0, 10.0): 0.00916234294986, (6.0, 8.0): 0.0151067078106, (8.0, 12.0): 0.00220478800633, (5.0, 7.0): 0.0179018188889, (2.0, 11.0): 0.00777289314176, (9.0, 9.0): 0.00513410651596, (2.0, 4.0): 0.0238536317127, (3.0, 8.0): 0.0157354619021, (8.0, 8.0): 0.0136089370979, (1.0, 7.0): 0.00647173092849, (9.0, 5.0): 0.0119286654065, (7.0, 8.0): 0.0157354619021, (7.0, 6.0): 0.0247591900399, (8.0, 4.0): 0.0238536317127, }, ]
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+19 Stop [{(5.0, 9.0): 0.0096127228724, (4.0, 7.0): 0.0178815312232, (6.0, 10.0): 0.00682848883208, (4.0, 8.0): 0.013154166374, (5.0, 6.0): 0.026640473711, (2.0, 8.0): 0.0114789642465, (3.0, 11.0): 0.00368938148985, (4.0, 6.0): 0.0265219341487, (8.0, 9.0): 0.0106405409561, (4.0, 12.0): 0.00117725671676, (2.0, 12.0): 0.00139784221492, (7.0, 11.0): 0.00368938148985, (3.0, 7.0): 0.0182126197469, (2.0, 5.0): 0.044370330771, (1.0, 11.0): 0.00193996029235, (8.0, 5.0): 0.044370330771, (5.0, 8.0): 0.0130193448368, (7.0, 5.0): 0.0310849451959, (4.0, 9.0): 0.00975748058539, (5.0, 5.0): 0.031033173298, (2.0, 9.0): 0.0106405409561, (3.0, 10.0): 0.00708635249973, (4.0, 4.0): 0.0285769687406, (8.0, 10.0): 0.00621278694758, (1.0, 5.0): 0.0141311537566, (9.0, 11.0): 0.00193996029235, (4.0, 11.0): 0.00429973687137, (3.0, 6.0): 0.0269527299326, (8.0, 6.0): 0.0223013147238, (3.0, 5.0): 0.0310849451959, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00625037145307, (4.0, 10.0): 0.00682848883208, (2.0, 6.0): 0.0223013147238, (6.0, 6.0): 0.0265219341487, (7.0, 10.0): 0.00708635249973, (5.0, 11.0): 0.0034131166666, (4.0, 5.0): 0.0451541482232, (8.0, 11.0): 0.00503938984597, (6.0, 11.0): 0.00429973687137, (2.0, 7.0): 0.0184475558322, (7.0, 7.0): 0.0182126197469, (3.0, 9.0): 0.0101051325989, (1.0, 9.0): 0.00389159787685, (8.0, 7.0): 0.0184475558322, (6.0, 12.0): 0.00117725671676, (6.0, 4.0): 0.0285769687406, (2.0, 10.0): 0.00621278694758, (6.0, 5.0): 0.0451541482232, (7.0, 9.0): 0.0101051325989, (6.0, 7.0): 0.0178815312232, (6.0, 9.0): 0.00975748058539, (5.0, 10.0): 0.00667774019746, (6.0, 8.0): 0.013154166374, (8.0, 12.0): 0.00139784221492, (5.0, 7.0): 0.0177881851039, (2.0, 11.0): 0.00503938984597, (9.0, 9.0): 0.00389159787685, (2.0, 4.0): 0.0282622497147, (3.0, 8.0): 0.0134849322701, (8.0, 8.0): 0.0114789642465, (1.0, 7.0): 0.00625037145307, (9.0, 5.0): 0.0141311537566, (7.0, 8.0): 0.0134849322701, (7.0, 6.0): 0.0269527299326, (8.0, 4.0): 0.0282622497147, }, ]
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+87 Stop [{(5.0, 9.0): 0.00384562222817, (4.0, 7.0): 0.0152038620295, (6.0, 10.0): 0.0019381208255, (4.0, 8.0): 0.00763927001025, (5.0, 6.0): 0.0303266329582, (2.0, 8.0): 0.0063653596338, (3.0, 11.0): 0.000813084536445, (4.0, 6.0): 0.0303204767505, (8.0, 9.0): 0.00384957722526, (4.0, 12.0): 0.000244689447265, (2.0, 12.0): 0.000245623269899, (7.0, 11.0): 0.000813084536445, (3.0, 7.0): 0.0152005269218, (2.0, 5.0): 0.0604905574745, (1.0, 11.0): 0.00032794775576, (8.0, 5.0): 0.0604905574745, (5.0, 8.0): 0.0076395456045, (7.0, 5.0): 0.0403649719749, (4.0, 9.0): 0.00384595425756, (5.0, 5.0): 0.0403905288098, (2.0, 9.0): 0.00384957722526, (3.0, 10.0): 0.00193881019027, (4.0, 4.0): 0.0403645163423, (8.0, 10.0): 0.00161695096528, (1.0, 5.0): 0.0201541453445, (9.0, 11.0): 0.00032794775576, (4.0, 11.0): 0.000975641409964, (3.0, 6.0): 0.0303107947175, (8.0, 6.0): 0.0252463531888, (3.0, 5.0): 0.0403649719749, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506732896558, (4.0, 10.0): 0.0019381208255, (2.0, 6.0): 0.0252463531888, (6.0, 6.0): 0.0303204767505, (7.0, 10.0): 0.00193881019027, (5.0, 11.0): 0.000812021839389, (4.0, 5.0): 0.0605644350338, (8.0, 11.0): 0.000978991891474, (6.0, 11.0): 0.000975641409964, (2.0, 7.0): 0.015197381099, (7.0, 7.0): 0.0152005269218, (3.0, 9.0): 0.00384683222175, (1.0, 9.0): 0.00128619484902, (8.0, 7.0): 0.015197381099, (6.0, 12.0): 0.000244689447265, (6.0, 4.0): 0.0403645163423, (2.0, 10.0): 0.00161695096528, (6.0, 5.0): 0.0605644350338, (7.0, 9.0): 0.00384683222175, (6.0, 7.0): 0.0152038620295, (6.0, 9.0): 0.00384595425756, (5.0, 10.0): 0.00193750229782, (6.0, 8.0): 0.00763927001025, (8.0, 12.0): 0.000245623269899, (5.0, 7.0): 0.0152056422939, (2.0, 11.0): 0.000978991891474, (9.0, 9.0): 0.00128619484902, (2.0, 4.0): 0.0403082906891, (3.0, 8.0): 0.0076388053871, (8.0, 8.0): 0.0063653596338, (1.0, 7.0): 0.00506732896558, (9.0, 5.0): 0.0201541453445, (7.0, 8.0): 0.0076388053871, (7.0, 6.0): 0.0303107947175, (8.0, 4.0): 0.0403082906891, }, ]
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+89 Stop [{(5.0, 9.0): 0.00383864808998, (4.0, 7.0): 0.0151993100192, (6.0, 10.0): 0.00193262811071, (4.0, 8.0): 0.00763210974996, (5.0, 6.0): 0.030328190726, (2.0, 8.0): 0.00635943952577, (3.0, 11.0): 0.000810069436717, (4.0, 6.0): 0.0303227894348, (8.0, 9.0): 0.00384205609204, (4.0, 12.0): 0.000243685785681, (2.0, 12.0): 0.000244495769527, (7.0, 11.0): 0.000810069436717, (3.0, 7.0): 0.0151963446992, (2.0, 5.0): 0.0605141595651, (1.0, 11.0): 0.000326385453241, (8.0, 5.0): 0.0605141595651, (5.0, 8.0): 0.00763236132986, (7.0, 5.0): 0.040375989833, (4.0, 9.0): 0.00383893119758, (5.0, 5.0): 0.0403984888833, (2.0, 9.0): 0.00384205609204, (3.0, 10.0): 0.00193322138389, (4.0, 4.0): 0.0403758787434, (8.0, 10.0): 0.00161212254621, (1.0, 5.0): 0.0201632097699, (9.0, 11.0): 0.000326385453241, (4.0, 11.0): 0.000972034077698, (3.0, 6.0): 0.0303142213173, (8.0, 6.0): 0.0252507452189, (3.0, 5.0): 0.040375989833, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506584682923, (4.0, 10.0): 0.00193262811071, (2.0, 6.0): 0.0252507452189, (6.0, 6.0): 0.0303227894348, (7.0, 10.0): 0.00193322138389, (5.0, 11.0): 0.000809149098127, (4.0, 5.0): 0.0605790979644, (8.0, 11.0): 0.000974940522014, (6.0, 11.0): 0.000972034077698, (2.0, 7.0): 0.0151935500346, (7.0, 7.0): 0.0151963446992, (3.0, 9.0): 0.00383968140561, (1.0, 9.0): 0.00128329425523, (8.0, 7.0): 0.0151935500346, (6.0, 12.0): 0.000243685785681, (6.0, 4.0): 0.0403758787434, (2.0, 10.0): 0.00161212254621, (6.0, 5.0): 0.0605790979644, (7.0, 9.0): 0.00383968140561, (6.0, 7.0): 0.0151993100192, (6.0, 9.0): 0.00383893119758, (5.0, 10.0): 0.00193209298603, (6.0, 8.0): 0.00763210974996, (8.0, 12.0): 0.000244495769527, (5.0, 7.0): 0.0152008832101, (2.0, 11.0): 0.000974940522014, (9.0, 9.0): 0.00128329425523, (2.0, 4.0): 0.0403264195397, (3.0, 8.0): 0.00763167698202, (8.0, 8.0): 0.00635943952577, (1.0, 7.0): 0.00506584682923, (9.0, 5.0): 0.0201632097699, (7.0, 8.0): 0.00763167698202, (7.0, 6.0): 0.0303142213173, (8.0, 4.0): 0.0403264195397, }, ]
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+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/3-ExactPredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/3-ExactPredict.test
new file mode 100644
index 0000000..d1c6775
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/3-ExactPredict.test	
@@ -0,0 +1,34 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%% % % % %%
+%    G    %
+%%       %%
+%         %
+%%       %%
+%         %
+%%       %%
+%         %
+%% % % % %%
+%%%%%%%%%%%
+%%%%%%%%P%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "200"
+
+numGhosts: "1"
+ghost: "GoSouthAgent"
+errorMsg: "Exact inference elapseTime test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/4-ExactPredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/4-ExactPredict.solution
new file mode 100644
index 0000000..da9de1c
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/4-ExactPredict.solution	
@@ -0,0 +1,505 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(16, 6): 0.00763358778626, (11, 11): 0.00763358778626, (17, 7): 0.00763358778626, (16, 9): 0.00763358778626, (14, 4): 0.00763358778626, (13, 4): 0.00763358778626, (20, 20): 0.00763358778626, (18, 4): 0.00763358778626, (18, 19): 0.00763358778626, (2, 5): 0.00763358778626, (8, 5): 0.00763358778626, (10, 8): 0.00763358778626, (11, 5): 0.00763358778626, (10, 7): 0.00763358778626, (16, 3): 0.00763358778626, (12, 6): 0.00763358778626, (16, 22): 0.00763358778626, (13, 7): 0.00763358778626, (18, 9): 0.00763358778626, (15, 4): 0.00763358778626, (18, 20): 0.00763358778626, (15, 18): 0.00763358778626, (9, 3): 0.00763358778626, (19, 24): 0.00763358778626, (12, 11): 0.00763358778626, (13, 10): 0.00763358778626, (18, 10): 0.00763358778626, (17, 18): 0.00763358778626, (9, 9): 0.00763358778626, (15, 15): 0.00763358778626, (11, 8): 0.00763358778626, (14, 8): 0.00763358778626, (21, 24): 0.00763358778626, (20, 16): 0.00763358778626, (17, 8): 0.00763358778626, (18, 15): 0.00763358778626, (8, 9): 0.00763358778626, (9, 4): 0.00763358778626, (10, 3): 0.00763358778626, (16, 7): 0.00763358778626, (11, 10): 0.00763358778626, (17, 6): 0.00763358778626, (16, 10): 0.00763358778626, (14, 5): 0.00763358778626, (13, 3): 0.00763358778626, (18, 5): 0.00763358778626, (17, 11): 0.00763358778626, (18, 16): 0.00763358778626, (8, 6): 0.00763358778626, (10, 9): 0.00763358778626, (9, 7): 0.00763358778626, (11, 4): 0.00763358778626, (10, 4): 0.00763358778626, (16, 4): 0.00763358778626, (12, 7): 0.00763358778626, (11, 9): 0.00763358778626, (15, 10): 0.00763358778626, (14, 6): 0.00763358778626, (13, 6): 0.00763358778626, (18, 6): 0.00763358778626, (17, 22): 0.00763358778626, (15, 7): 0.00763358778626, (18, 21): 0.00763358778626, (8, 3): 0.00763358778626, (10, 10): 0.00763358778626, (11, 3): 0.00763358778626, (12, 4): 0.00763358778626, (15, 9): 0.00763358778626, (14, 3): 0.00763358778626, (13, 9): 0.00763358778626, (12, 8): 0.00763358778626, (18, 11): 0.00763358778626, (18, 22): 0.00763358778626, (9, 8): 0.00763358778626, (14, 9): 0.00763358778626, (12, 9): 0.00763358778626, (17, 15): 0.00763358778626, (21, 20): 0.00763358778626, (18, 12): 0.00763358778626, (15, 11): 0.00763358778626, (8, 10): 0.00763358778626, (9, 11): 0.00763358778626, (12, 3): 0.00763358778626, (17, 5): 0.00763358778626, (16, 11): 0.00763358778626, (14, 10): 0.00763358778626, (17, 10): 0.00763358778626, (15, 3): 0.00763358778626, (18, 17): 0.00763358778626, (8, 7): 0.00763358778626, (9, 6): 0.00763358778626, (11, 7): 0.00763358778626, (10, 5): 0.00763358778626, (16, 5): 0.00763358778626, (20, 24): 0.00763358778626, (19, 16): 0.00763358778626, (16, 8): 0.00763358778626, (14, 7): 0.00763358778626, (13, 5): 0.00763358778626, (18, 7): 0.00763358778626, (15, 6): 0.00763358778626, (18, 18): 0.00763358778626, (8, 4): 0.00763358778626, (10, 11): 0.00763358778626, (13, 8): 0.00763358778626, (10, 6): 0.00763358778626, (15, 22): 0.00763358778626, (12, 5): 0.00763358778626, (17, 3): 0.00763358778626, (15, 8): 0.00763358778626, (21, 16): 0.00763358778626, (18, 8): 0.00763358778626, (15, 5): 0.00763358778626, (18, 23): 0.00763358778626, (16, 15): 0.00763358778626, (12, 10): 0.00763358778626, (16, 18): 0.00763358778626, (13, 11): 0.00763358778626, (18, 13): 0.00763358778626, (18, 24): 0.00763358778626, (8, 11): 0.00763358778626, (9, 10): 0.00763358778626, (19, 20): 0.00763358778626, (17, 4): 0.00763358778626, (14, 11): 0.00763358778626, (18, 3): 0.00763358778626, (17, 9): 0.00763358778626, (18, 14): 0.00763358778626, (8, 8): 0.00763358778626, (9, 5): 0.00763358778626, (11, 6): 0.00763358778626, }, ]
+1 Stop [{(16, 6): 0.00763358778626, (11, 11): 0.00763358778626, (17, 7): 0.00763358778626, (16, 9): 0.00763358778626, (14, 4): 0.00763358778626, (13, 4): 0.00763358778626, (20, 20): 0.00763358778626, (18, 4): 0.00763358778626, (18, 19): 0.00763358778626, (2, 5): 0.00763358778626, (8, 5): 0.00763358778626, (10, 8): 0.00763358778626, (11, 5): 0.00763358778626, (10, 7): 0.00763358778626, (16, 3): 0.00763358778626, (12, 6): 0.00763358778626, (16, 22): 0.00763358778626, (13, 7): 0.00763358778626, (18, 9): 0.00763358778626, (15, 4): 0.00763358778626, (18, 20): 0.00763358778626, (15, 18): 0.00763358778626, (9, 3): 0.00763358778626, (19, 24): 0.00763358778626, (12, 11): 0.00763358778626, (13, 10): 0.00763358778626, (18, 10): 0.00763358778626, (17, 18): 0.00763358778626, (9, 9): 0.00763358778626, (15, 15): 0.00763358778626, (11, 8): 0.00763358778626, (14, 8): 0.00763358778626, (21, 24): 0.00763358778626, (20, 16): 0.00763358778626, (17, 8): 0.00763358778626, (18, 15): 0.00763358778626, (8, 9): 0.00763358778626, (9, 4): 0.00763358778626, (10, 3): 0.00763358778626, (16, 7): 0.00763358778626, (11, 10): 0.00763358778626, (17, 6): 0.00763358778626, (16, 10): 0.00763358778626, (14, 5): 0.00763358778626, (13, 3): 0.00763358778626, (18, 5): 0.00763358778626, (17, 11): 0.00763358778626, (18, 16): 0.00763358778626, (8, 6): 0.00763358778626, (10, 9): 0.00763358778626, (9, 7): 0.00763358778626, (11, 4): 0.00763358778626, (10, 4): 0.00763358778626, (16, 4): 0.00763358778626, (12, 7): 0.00763358778626, (11, 9): 0.00763358778626, (15, 10): 0.00763358778626, (14, 6): 0.00763358778626, (13, 6): 0.00763358778626, (18, 6): 0.00763358778626, (17, 22): 0.00763358778626, (15, 7): 0.00763358778626, (18, 21): 0.00763358778626, (8, 3): 0.00763358778626, (10, 10): 0.00763358778626, (11, 3): 0.00763358778626, (12, 4): 0.00763358778626, (15, 9): 0.00763358778626, (14, 3): 0.00763358778626, (13, 9): 0.00763358778626, (12, 8): 0.00763358778626, (18, 11): 0.00763358778626, (18, 22): 0.00763358778626, (9, 8): 0.00763358778626, (14, 9): 0.00763358778626, (12, 9): 0.00763358778626, (17, 15): 0.00763358778626, (21, 20): 0.00763358778626, (18, 12): 0.00763358778626, (15, 11): 0.00763358778626, (8, 10): 0.00763358778626, (9, 11): 0.00763358778626, (12, 3): 0.00763358778626, (17, 5): 0.00763358778626, (16, 11): 0.00763358778626, (14, 10): 0.00763358778626, (17, 10): 0.00763358778626, (15, 3): 0.00763358778626, (18, 17): 0.00763358778626, (8, 7): 0.00763358778626, (9, 6): 0.00763358778626, (11, 7): 0.00763358778626, (10, 5): 0.00763358778626, (16, 5): 0.00763358778626, (20, 24): 0.00763358778626, (19, 16): 0.00763358778626, (16, 8): 0.00763358778626, (14, 7): 0.00763358778626, (13, 5): 0.00763358778626, (18, 7): 0.00763358778626, (15, 6): 0.00763358778626, (18, 18): 0.00763358778626, (8, 4): 0.00763358778626, (10, 11): 0.00763358778626, (13, 8): 0.00763358778626, (10, 6): 0.00763358778626, (15, 22): 0.00763358778626, (12, 5): 0.00763358778626, (17, 3): 0.00763358778626, (15, 8): 0.00763358778626, (21, 16): 0.00763358778626, (18, 8): 0.00763358778626, (15, 5): 0.00763358778626, (18, 23): 0.00763358778626, (16, 15): 0.00763358778626, (12, 10): 0.00763358778626, (16, 18): 0.00763358778626, (13, 11): 0.00763358778626, (18, 13): 0.00763358778626, (18, 24): 0.00763358778626, (8, 11): 0.00763358778626, (9, 10): 0.00763358778626, (19, 20): 0.00763358778626, (17, 4): 0.00763358778626, (14, 11): 0.00763358778626, (18, 3): 0.00763358778626, (17, 9): 0.00763358778626, (18, 14): 0.00763358778626, (8, 8): 0.00763358778626, (9, 5): 0.00763358778626, (11, 6): 0.00763358778626, }, ]
+2 Stop [{(16.0, 6.0): 0.00763358778626, (11.0, 11.0): 0.00725190839695, (17.0, 7.0): 0.00801526717557, (16.0, 9.0): 0.00763358778626, (14.0, 4.0): 0.00801526717557, (13.0, 4.0): 0.00801526717557, (20.0, 20.0): 0.0089058524173, (18.0, 4.0): 0.00788804071247, (18.0, 19.0): 0.00636132315522, (8.0, 5.0): 0.00725190839695, (10.0, 8.0): 0.00763358778626, (11.0, 5.0): 0.00763358778626, (10.0, 7.0): 0.00763358778626, (16.0, 3.0): 0.00725190839695, (12.0, 6.0): 0.00763358778626, (16.0, 22.0): 0.0089058524173, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00725190839695, (15.0, 4.0): 0.00801526717557, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00636132315522, (9.0, 3.0): 0.00788804071247, (19.0, 24.0): 0.00763358778626, (12.0, 11.0): 0.00725190839695, (13.0, 10.0): 0.00801526717557, (18.0, 10.0): 0.00725190839695, (17.0, 18.0): 0.00699745547074, (9.0, 9.0): 0.00801526717557, (16.0, 18.0): 0.0089058524173, (11.0, 8.0): 0.00763358778626, (14.0, 8.0): 0.00763358778626, (21.0, 24.0): 0.00636132315522, (20.0, 16.0): 0.0089058524173, (17.0, 8.0): 0.00801526717557, (18.0, 15.0): 0.0089058524173, (8.0, 9.0): 0.00725190839695, (9.0, 4.0): 0.00839694656489, (10.0, 3.0): 0.00725190839695, (16.0, 7.0): 0.00763358778626, (11.0, 10.0): 0.00801526717557, (17.0, 6.0): 0.00801526717557, (16.0, 10.0): 0.00801526717557, (14.0, 5.0): 0.00763358778626, (13.0, 3.0): 0.00725190839695, (18.0, 5.0): 0.00725190839695, (17.0, 11.0): 0.00725190839695, (18.0, 16.0): 0.0089058524173, (8.0, 6.0): 0.00725190839695, (10.0, 9.0): 0.00763358778626, (9.0, 7.0): 0.00801526717557, (11.0, 4.0): 0.00801526717557, (10.0, 4.0): 0.00801526717557, (16.0, 4.0): 0.00801526717557, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00763358778626, (15.0, 10.0): 0.00801526717557, (14.0, 6.0): 0.00763358778626, (13.0, 6.0): 0.00763358778626, (18.0, 6.0): 0.00725190839695, (17.0, 22.0): 0.00699745547074, (15.0, 7.0): 0.00763358778626, (18.0, 21.0): 0.00636132315522, (8.0, 3.0): 0.00636132315522, (10.0, 10.0): 0.00801526717557, (11.0, 3.0): 0.00725190839695, (12.0, 4.0): 0.00801526717557, (15.0, 9.0): 0.00763358778626, (14.0, 3.0): 0.00725190839695, (13.0, 9.0): 0.00763358778626, (12.0, 8.0): 0.00763358778626, (18.0, 11.0): 0.00826972010178, (18.0, 22.0): 0.00954198473282, (9.0, 8.0): 0.00801526717557, (14.0, 9.0): 0.00763358778626, (12.0, 9.0): 0.00763358778626, (17.0, 15.0): 0.00699745547074, (21.0, 20.0): 0.00636132315522, (18.0, 12.0): 0.00699745547074, (15.0, 11.0): 0.00725190839695, (8.0, 10.0): 0.00788804071247, (9.0, 11.0): 0.00788804071247, (12.0, 3.0): 0.00725190839695, (17.0, 5.0): 0.00801526717557, (16.0, 11.0): 0.00725190839695, (14.0, 10.0): 0.00801526717557, (17.0, 10.0): 0.00839694656489, (15.0, 3.0): 0.00725190839695, (18.0, 17.0): 0.00636132315522, (8.0, 7.0): 0.00725190839695, (9.0, 6.0): 0.00801526717557, (11.0, 7.0): 0.00763358778626, (10.0, 5.0): 0.00763358778626, (16.0, 5.0): 0.00763358778626, (20.0, 24.0): 0.0089058524173, (19.0, 16.0): 0.00699745547074, (16.0, 8.0): 0.00763358778626, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00763358778626, (18.0, 20.0): 0.00954198473282, (18.0, 7.0): 0.00725190839695, (15.0, 6.0): 0.00763358778626, (18.0, 18.0): 0.00954198473282, (8.0, 4.0): 0.00788804071247, (10.0, 11.0): 0.00725190839695, (13.0, 8.0): 0.00763358778626, (10.0, 6.0): 0.00763358778626, (15.0, 22.0): 0.00636132315522, (12.0, 5.0): 0.00763358778626, (17.0, 3.0): 0.00788804071247, (15.0, 8.0): 0.00763358778626, (21.0, 16.0): 0.00636132315522, (18.0, 8.0): 0.00725190839695, (15.0, 5.0): 0.00763358778626, (18.0, 23.0): 0.00699745547074, (16.0, 15.0): 0.0089058524173, (12.0, 10.0): 0.00801526717557, (15.0, 15.0): 0.00636132315522, (13.0, 11.0): 0.00725190839695, (18.0, 13.0): 0.00763358778626, (18.0, 24.0): 0.00763358778626, (8.0, 11.0): 0.00636132315522, (9.0, 10.0): 0.00839694656489, (19.0, 20.0): 0.00699745547074, (17.0, 4.0): 0.00839694656489, (14.0, 11.0): 0.00725190839695, (18.0, 3.0): 0.00636132315522, (17.0, 9.0): 0.00801526717557, (18.0, 14.0): 0.00699745547074, (8.0, 8.0): 0.00725190839695, (9.0, 5.0): 0.00801526717557, (11.0, 6.0): 0.00763358778626, }, ]
+3 Stop [{(16.0, 6.0): 0.00770992366412, (11.0, 11.0): 0.00704198473282, (17.0, 7.0): 0.00814885496183, (16.0, 9.0): 0.00778625954198, (14.0, 4.0): 0.00814885496183, (13.0, 4.0): 0.00814885496183, (20.0, 20.0): 0.00848176420696, (18.0, 4.0): 0.00758481764207, (18.0, 19.0): 0.00689143341815, (8.0, 5.0): 0.0072010178117, (10.0, 8.0): 0.00770992366412, (11.0, 5.0): 0.00770992366412, (10.0, 7.0): 0.00770992366412, (16.0, 3.0): 0.0072010178117, (12.0, 6.0): 0.00763358778626, (16.0, 22.0): 0.00848176420696, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00704198473282, (15.0, 4.0): 0.00814885496183, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00614927905004, (9.0, 3.0): 0.00758481764207, (19.0, 24.0): 0.00805767599661, (12.0, 11.0): 0.00704198473282, (13.0, 10.0): 0.00814885496183, (18.0, 10.0): 0.0073727735369, (17.0, 18.0): 0.00768659881255, (9.0, 9.0): 0.00822519083969, (16.0, 18.0): 0.00848176420696, (11.0, 8.0): 0.00763358778626, (14.0, 8.0): 0.00763358778626, (21.0, 24.0): 0.00614927905004, (20.0, 16.0): 0.00848176420696, (17.0, 8.0): 0.00814885496183, (18.0, 15.0): 0.00911789652248, (8.0, 9.0): 0.0072010178117, (9.0, 4.0): 0.00882951653944, (10.0, 3.0): 0.0072010178117, (16.0, 7.0): 0.00770992366412, (11.0, 10.0): 0.00814885496183, (17.0, 6.0): 0.00814885496183, (16.0, 10.0): 0.00822519083969, (14.0, 5.0): 0.00770992366412, (13.0, 3.0): 0.00704198473282, (18.0, 5.0): 0.0072010178117, (17.0, 11.0): 0.0073727735369, (18.0, 16.0): 0.0089058524173, (8.0, 6.0): 0.00704198473282, (10.0, 9.0): 0.00778625954198, (9.0, 7.0): 0.00814885496183, (11.0, 4.0): 0.00814885496183, (10.0, 4.0): 0.00822519083969, (16.0, 4.0): 0.00822519083969, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00770992366412, (15.0, 10.0): 0.00814885496183, (14.0, 6.0): 0.00763358778626, (13.0, 6.0): 0.00763358778626, (18.0, 6.0): 0.00704198473282, (17.0, 22.0): 0.00768659881255, (15.0, 7.0): 0.00763358778626, (18.0, 21.0): 0.00689143341815, (8.0, 3.0): 0.00606446140797, (10.0, 10.0): 0.00822519083969, (11.0, 3.0): 0.00704198473282, (12.0, 4.0): 0.00814885496183, (15.0, 9.0): 0.00770992366412, (14.0, 3.0): 0.00704198473282, (13.0, 9.0): 0.00770992366412, (12.0, 8.0): 0.00763358778626, (18.0, 11.0): 0.00802586938083, (18.0, 22.0): 0.00917090754877, (9.0, 8.0): 0.00814885496183, (14.0, 9.0): 0.00770992366412, (12.0, 9.0): 0.00770992366412, (17.0, 15.0): 0.00752756573367, (21.0, 20.0): 0.00614927905004, (18.0, 12.0): 0.00694444444444, (15.0, 11.0): 0.00704198473282, (8.0, 10.0): 0.00758481764207, (9.0, 11.0): 0.00758481764207, (12.0, 3.0): 0.00704198473282, (17.0, 5.0): 0.00822519083969, (16.0, 11.0): 0.00704198473282, (14.0, 10.0): 0.00814885496183, (17.0, 10.0): 0.00851145038168, (15.0, 3.0): 0.00704198473282, (18.0, 17.0): 0.00673240033927, (8.0, 7.0): 0.00704198473282, (9.0, 6.0): 0.00814885496183, (11.0, 7.0): 0.00763358778626, (10.0, 5.0): 0.00778625954198, (16.0, 5.0): 0.00778625954198, (20.0, 24.0): 0.00869380831213, (19.0, 16.0): 0.00752756573367, (16.0, 8.0): 0.00770992366412, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00770992366412, (18.0, 20.0): 0.0089588634436, (18.0, 7.0): 0.00704198473282, (15.0, 6.0): 0.00763358778626, (18.0, 18.0): 0.0089588634436, (8.0, 4.0): 0.00758481764207, (10.0, 11.0): 0.0072010178117, (13.0, 8.0): 0.00763358778626, (10.0, 6.0): 0.00770992366412, (15.0, 22.0): 0.00614927905004, (12.0, 5.0): 0.00770992366412, (17.0, 3.0): 0.00758481764207, (15.0, 8.0): 0.00763358778626, (21.0, 16.0): 0.00614927905004, (18.0, 8.0): 0.00704198473282, (15.0, 5.0): 0.00770992366412, (18.0, 23.0): 0.00726251060221, (16.0, 15.0): 0.00848176420696, (12.0, 10.0): 0.00814885496183, (15.0, 15.0): 0.00614927905004, (13.0, 11.0): 0.00704198473282, (18.0, 13.0): 0.00720949957591, (18.0, 24.0): 0.00742154368109, (8.0, 11.0): 0.00606446140797, (9.0, 10.0): 0.00882951653944, (19.0, 20.0): 0.00768659881255, (17.0, 4.0): 0.00882951653944, (14.0, 11.0): 0.00704198473282, (18.0, 3.0): 0.00606446140797, (17.0, 9.0): 0.00822519083969, (18.0, 14.0): 0.00710347752332, (8.0, 8.0): 0.00704198473282, (9.0, 5.0): 0.00822519083969, (11.0, 6.0): 0.00763358778626, }, ]
+4 Stop [{(16.0, 6.0): 0.00779770992366, (11.0, 11.0): 0.0069510178117, (17.0, 7.0): 0.00819179389313, (16.0, 9.0): 0.00793129770992, (14.0, 4.0): 0.00819179389313, (13.0, 4.0): 0.00819179389313, (20.0, 20.0): 0.00846409386486, (18.0, 4.0): 0.00748384930732, (18.0, 19.0): 0.00677657619452, (8.0, 5.0): 0.00710199321459, (10.0, 8.0): 0.00779770992366, (11.0, 5.0): 0.00779770992366, (10.0, 7.0): 0.00778244274809, (16.0, 3.0): 0.00710199321459, (12.0, 6.0): 0.00764885496183, (16.0, 22.0): 0.00846409386486, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00700922391858, (15.0, 4.0): 0.0082070610687, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00590189426067, (9.0, 3.0): 0.00748384930732, (19.0, 24.0): 0.00805767599661, (12.0, 11.0): 0.00691125954198, (13.0, 10.0): 0.00819179389313, (18.0, 10.0): 0.00731244698897, (17.0, 18.0): 0.00762917020074, (9.0, 9.0): 0.00839821882952, (16.0, 18.0): 0.00846409386486, (11.0, 8.0): 0.0076641221374, (14.0, 8.0): 0.00764885496183, (21.0, 24.0): 0.00597257562906, (20.0, 16.0): 0.00841108283856, (17.0, 8.0): 0.0082070610687, (18.0, 15.0): 0.00938295165394, (8.0, 9.0): 0.00710199321459, (9.0, 4.0): 0.0088483884648, (10.0, 3.0): 0.00710199321459, (16.0, 7.0): 0.00778244274809, (11.0, 10.0): 0.0082070610687, (17.0, 6.0): 0.0082070610687, (16.0, 10.0): 0.00829484732824, (14.0, 5.0): 0.00778244274809, (13.0, 3.0): 0.00691125954198, (18.0, 5.0): 0.00710199321459, (17.0, 11.0): 0.00731244698897, (18.0, 16.0): 0.00925925925926, (8.0, 6.0): 0.0069510178117, (10.0, 9.0): 0.00793129770992, (9.0, 7.0): 0.00819179389313, (11.0, 4.0): 0.0082070610687, (10.0, 4.0): 0.00839821882952, (16.0, 4.0): 0.00839821882952, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00779770992366, (15.0, 10.0): 0.0082070610687, (14.0, 6.0): 0.00764885496183, (13.0, 6.0): 0.00764885496183, (18.0, 6.0): 0.0069510178117, (17.0, 22.0): 0.00768218122703, (15.0, 7.0): 0.00764885496183, (18.0, 21.0): 0.00682958722081, (8.0, 3.0): 0.00581389595703, (10.0, 10.0): 0.00839821882952, (11.0, 3.0): 0.0069510178117, (12.0, 4.0): 0.00819179389313, (15.0, 9.0): 0.00779770992366, (14.0, 3.0): 0.00691125954198, (13.0, 9.0): 0.00778244274809, (12.0, 8.0): 0.00764885496183, (18.0, 11.0): 0.00800766892847, (18.0, 22.0): 0.0095729078315, (9.0, 8.0): 0.0082070610687, (14.0, 9.0): 0.00778244274809, (12.0, 9.0): 0.00778244274809, (17.0, 15.0): 0.00761591744416, (21.0, 20.0): 0.00590189426067, (18.0, 12.0): 0.00672444868533, (15.0, 11.0): 0.00691125954198, (8.0, 10.0): 0.00748384930732, (9.0, 11.0): 0.00748384930732, (12.0, 3.0): 0.00691125954198, (17.0, 5.0): 0.00839821882952, (16.0, 11.0): 0.00700922391858, (14.0, 10.0): 0.00819179389313, (17.0, 10.0): 0.00867875318066, (15.0, 3.0): 0.0069510178117, (18.0, 17.0): 0.00671031241165, (8.0, 7.0): 0.00691125954198, (9.0, 6.0): 0.0082070610687, (11.0, 7.0): 0.00764885496183, (10.0, 5.0): 0.00793129770992, (16.0, 5.0): 0.00793129770992, (20.0, 24.0): 0.00865846762793, (19.0, 16.0): 0.00756290641787, (16.0, 8.0): 0.00779770992366, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00778244274809, (18.0, 20.0): 0.00939620441052, (18.0, 7.0): 0.00691125954198, (15.0, 6.0): 0.0076641221374, (18.0, 18.0): 0.00934319338422, (8.0, 4.0): 0.00748384930732, (10.0, 11.0): 0.00710199321459, (13.0, 8.0): 0.00764885496183, (10.0, 6.0): 0.00779770992366, (15.0, 22.0): 0.00590189426067, (12.0, 5.0): 0.00778244274809, (17.0, 3.0): 0.00748384930732, (15.0, 8.0): 0.0076641221374, (21.0, 16.0): 0.00590189426067, (18.0, 8.0): 0.00691125954198, (15.0, 5.0): 0.00779770992366, (18.0, 23.0): 0.00718741164829, (16.0, 15.0): 0.00841108283856, (12.0, 10.0): 0.00819179389313, (15.0, 15.0): 0.00590189426067, (13.0, 11.0): 0.00691125954198, (18.0, 13.0): 0.00708580718123, (18.0, 24.0): 0.00758057675997, (8.0, 11.0): 0.00581389595703, (9.0, 10.0): 0.0088483884648, (19.0, 20.0): 0.00762917020074, (17.0, 4.0): 0.0088483884648, (14.0, 11.0): 0.00691125954198, (18.0, 3.0): 0.00581389595703, (17.0, 9.0): 0.00829484732824, (18.0, 14.0): 0.00705046649703, (8.0, 8.0): 0.0069510178117, (9.0, 5.0): 0.00839821882952, (11.0, 6.0): 0.0076641221374, }, ]
+5 Stop [{(16.0, 6.0): 0.00787652671756, (11.0, 11.0): 0.00688247985581, (17.0, 7.0): 0.00820548664122, (16.0, 9.0): 0.00802328244275, (14.0, 4.0): 0.00820243320611, (13.0, 4.0): 0.00819937977099, (20.0, 20.0): 0.00831536848553, (18.0, 4.0): 0.00735410364245, (18.0, 19.0): 0.00694370818019, (8.0, 5.0): 0.00706385884931, (10.0, 8.0): 0.00787652671756, (11.0, 5.0): 0.00787652671756, (10.0, 7.0): 0.00784370229008, (16.0, 3.0): 0.00706385884931, (12.0, 6.0): 0.00767557251908, (16.0, 22.0): 0.00833303882763, (13.0, 7.0): 0.00763969465649, (18.0, 9.0): 0.00696720207803, (15.0, 4.0): 0.00825671119593, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00577231175196, (9.0, 3.0): 0.00735410364245, (19.0, 24.0): 0.00809890679484, (12.0, 11.0): 0.00683174300254, (13.0, 10.0): 0.00819937977099, (18.0, 10.0): 0.00731808559514, (17.0, 18.0): 0.00770021970125, (9.0, 9.0): 0.00845249151824, (16.0, 18.0): 0.00831536848553, (11.0, 8.0): 0.00771145038168, (14.0, 8.0): 0.00767557251908, (21.0, 24.0): 0.00587244369051, (20.0, 16.0): 0.00827561021581, (17.0, 8.0): 0.00822609732824, (18.0, 15.0): 0.00954934737537, (8.0, 9.0): 0.00706385884931, (9.0, 4.0): 0.00887088987843, (10.0, 3.0): 0.00706385884931, (16.0, 7.0): 0.00784370229008, (11.0, 10.0): 0.00825671119593, (17.0, 6.0): 0.00825671119593, (16.0, 10.0): 0.00837469783715, (14.0, 5.0): 0.00784064885496, (13.0, 3.0): 0.00682180343511, (18.0, 5.0): 0.00706385884931, (17.0, 11.0): 0.00731808559514, (18.0, 16.0): 0.00941829233814, (8.0, 6.0): 0.00688247985581, (10.0, 9.0): 0.00806463104326, (9.0, 7.0): 0.00820548664122, (11.0, 4.0): 0.00825671119593, (10.0, 4.0): 0.00845249151824, (16.0, 4.0): 0.00845249151824, (12.0, 7.0): 0.0076427480916, (11.0, 9.0): 0.00787652671756, (15.0, 10.0): 0.00822609732824, (14.0, 6.0): 0.00767557251908, (13.0, 6.0): 0.00767251908397, (18.0, 6.0): 0.00688247985581, (17.0, 22.0): 0.00777531865517, (15.0, 7.0): 0.0076786259542, (18.0, 21.0): 0.00701880713411, (8.0, 3.0): 0.00567988997267, (10.0, 10.0): 0.00845249151824, (11.0, 3.0): 0.00688247985581, (12.0, 4.0): 0.00820243320611, (15.0, 9.0): 0.00787652671756, (14.0, 3.0): 0.00683174300254, (13.0, 9.0): 0.00783759541985, (12.0, 8.0): 0.00767557251908, (18.0, 11.0): 0.00789962362171, (18.0, 22.0): 0.00962628698992, (9.0, 8.0): 0.00825671119593, (14.0, 9.0): 0.00784064885496, (12.0, 9.0): 0.00784064885496, (17.0, 15.0): 0.00768807134106, (21.0, 20.0): 0.00577231175196, (18.0, 12.0): 0.0066053358543, (15.0, 11.0): 0.00684934796438, (8.0, 10.0): 0.00735410364245, (9.0, 11.0): 0.00735410364245, (12.0, 3.0): 0.00683174300254, (17.0, 5.0): 0.00845249151824, (16.0, 11.0): 0.00696720207803, (14.0, 10.0): 0.00820243320611, (17.0, 10.0): 0.00870991306192, (15.0, 3.0): 0.00688247985581, (18.0, 17.0): 0.00688738396475, (8.0, 7.0): 0.00684168256997, (9.0, 6.0): 0.00825671119593, (11.0, 7.0): 0.0076786259542, (10.0, 5.0): 0.00806463104326, (16.0, 5.0): 0.00806463104326, (20.0, 24.0): 0.00855833568938, (19.0, 16.0): 0.00763947790029, (16.0, 8.0): 0.00787652671756, (14.0, 7.0): 0.0076427480916, (13.0, 5.0): 0.00783759541985, (18.0, 20.0): 0.00942749564132, (18.0, 7.0): 0.00683174300254, (15.0, 6.0): 0.00771145038168, (18.0, 18.0): 0.00937448461502, (8.0, 4.0): 0.00735410364245, (10.0, 11.0): 0.00706385884931, (13.0, 8.0): 0.00767251908397, (10.0, 6.0): 0.00787652671756, (15.0, 22.0): 0.00577231175196, (12.0, 5.0): 0.00784064885496, (17.0, 3.0): 0.00735410364245, (15.0, 8.0): 0.00771145038168, (21.0, 16.0): 0.00575464140986, (18.0, 8.0): 0.00684934796438, (15.0, 5.0): 0.00787652671756, (18.0, 23.0): 0.00731588976063, (16.0, 15.0): 0.00829328055791, (12.0, 10.0): 0.00820243320611, (15.0, 15.0): 0.00575464140986, (13.0, 11.0): 0.00682180343511, (18.0, 13.0): 0.00695357412119, (18.0, 24.0): 0.00760855480162, (8.0, 11.0): 0.00567988997267, (9.0, 10.0): 0.00887088987843, (19.0, 20.0): 0.00771347245783, (17.0, 4.0): 0.00887088987843, (14.0, 11.0): 0.00682180343511, (18.0, 3.0): 0.00567988997267, (17.0, 9.0): 0.00837469783715, (18.0, 14.0): 0.00705782913957, (8.0, 8.0): 0.00688247985581, (9.0, 5.0): 0.00845249151824, (11.0, 6.0): 0.00771145038168, }, ]
+6 Stop [{(16.0, 6.0): 0.0079506043257, (11.0, 11.0): 0.0068458626661, (17.0, 7.0): 0.00821433524173, (16.0, 9.0): 0.00810514631043, (14.0, 4.0): 0.00820777035623, (13.0, 4.0): 0.00819381917939, (20.0, 20.0): 0.0082291028571, (18.0, 4.0): 0.00727196525618, (18.0, 19.0): 0.00701506445748, (8.0, 5.0): 0.00701560889054, (10.0, 8.0): 0.0079506043257, (11.0, 5.0): 0.00794999363868, (10.0, 7.0): 0.00789617366412, (16.0, 3.0): 0.00701560889054, (12.0, 6.0): 0.00770858778626, (16.0, 22.0): 0.00825560837024, (13.0, 7.0): 0.00765404580153, (18.0, 9.0): 0.00695859847682, (15.0, 4.0): 0.00827825249152, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00565794537116, (9.0, 3.0): 0.00727196525618, (19.0, 24.0): 0.00808859909528, (12.0, 11.0): 0.00677449321459, (13.0, 10.0): 0.00819381917939, (18.0, 10.0): 0.0072882104361, (17.0, 18.0): 0.00768215054935, (9.0, 9.0): 0.0084949094395, (16.0, 18.0): 0.00822468527157, (11.0, 8.0): 0.00776374045802, (14.0, 8.0): 0.00770858778626, (21.0, 24.0): 0.00578900040838, (20.0, 16.0): 0.00818235007696, (17.0, 8.0): 0.00824889869593, (18.0, 15.0): 0.00965721008859, (8.0, 9.0): 0.00701560889054, (9.0, 4.0): 0.0088322264042, (10.0, 3.0): 0.00701560889054, (16.0, 7.0): 0.00789617366412, (11.0, 10.0): 0.00827825249152, (17.0, 6.0): 0.00827886317854, (16.0, 10.0): 0.00840859865352, (14.0, 5.0): 0.00788655534351, (13.0, 3.0): 0.00676119831425, (18.0, 5.0): 0.00701560889054, (17.0, 11.0): 0.0072882104361, (18.0, 16.0): 0.00958419721672, (8.0, 6.0): 0.00684834755796, (10.0, 9.0): 0.00814453350297, (9.0, 7.0): 0.00822294290712, (11.0, 4.0): 0.00827825249152, (10.0, 4.0): 0.0084949094395, (16.0, 4.0): 0.0084949094395, (12.0, 7.0): 0.00766244274809, (11.0, 9.0): 0.00794999363868, (15.0, 10.0): 0.00824828800891, (14.0, 6.0): 0.00770858778626, (13.0, 6.0): 0.00770019083969, (18.0, 6.0): 0.0068458626661, (17.0, 22.0): 0.00777602424175, (15.0, 7.0): 0.00771759541985, (18.0, 21.0): 0.00710304803584, (8.0, 3.0): 0.00557034847878, (10.0, 10.0): 0.0084949094395, (11.0, 3.0): 0.0068458626661, (12.0, 4.0): 0.00820777035623, (15.0, 9.0): 0.00793560114504, (14.0, 3.0): 0.00677449321459, (13.0, 9.0): 0.00787815839695, (12.0, 8.0): 0.00770858778626, (18.0, 11.0): 0.0078357273211, (18.0, 22.0): 0.00977657693078, (9.0, 8.0): 0.00827886317854, (14.0, 9.0): 0.00788655534351, (12.0, 9.0): 0.00788655534351, (17.0, 15.0): 0.0077144541435, (21.0, 20.0): 0.00565794537116, (18.0, 12.0): 0.00649454256393, (15.0, 11.0): 0.00680480783503, (8.0, 10.0): 0.00727196525618, (9.0, 11.0): 0.00727196525618, (12.0, 3.0): 0.00677449321459, (17.0, 5.0): 0.0084949094395, (16.0, 11.0): 0.00695859847682, (14.0, 10.0): 0.00819916269084, (17.0, 10.0): 0.00875090454481, (15.0, 3.0): 0.0068458626661, (18.0, 17.0): 0.00699398889321, (8.0, 7.0): 0.00679275789864, (9.0, 6.0): 0.00827886317854, (11.0, 7.0): 0.00771759541985, (10.0, 5.0): 0.00814453350297, (16.0, 5.0): 0.00814453350297, (20.0, 24.0): 0.00848863600666, (19.0, 16.0): 0.00765960245657, (16.0, 8.0): 0.00793621183206, (14.0, 7.0): 0.00766244274809, (13.0, 5.0): 0.00787815839695, (18.0, 20.0): 0.0095822031677, (18.0, 7.0): 0.00678199003393, (15.0, 6.0): 0.00776374045802, (18.0, 18.0): 0.00952072510249, (8.0, 4.0): 0.00727196525618, (10.0, 11.0): 0.00701560889054, (13.0, 8.0): 0.00770019083969, (10.0, 6.0): 0.0079506043257, (15.0, 22.0): 0.00566383548519, (12.0, 5.0): 0.00788655534351, (17.0, 3.0): 0.00727196525618, (15.0, 8.0): 0.00776374045802, (21.0, 16.0): 0.00563585744353, (18.0, 8.0): 0.00680729272689, (15.0, 5.0): 0.00794999363868, (18.0, 23.0): 0.00738138660156, (16.0, 15.0): 0.00820443800459, (12.0, 10.0): 0.00820777035623, (15.0, 15.0): 0.00564174755757, (13.0, 11.0): 0.00675871342239, (18.0, 13.0): 0.00687224637169, (18.0, 24.0): 0.00767445045236, (8.0, 11.0): 0.00557034847878, (9.0, 10.0): 0.0088322264042, (19.0, 20.0): 0.00769982089145, (17.0, 4.0): 0.0088322264042, (14.0, 11.0): 0.00676372534987, (18.0, 3.0): 0.00557034847878, (17.0, 9.0): 0.00840859865352, (18.0, 14.0): 0.00705780459743, (8.0, 8.0): 0.00684834755796, (9.0, 5.0): 0.0084949094395, (11.0, 6.0): 0.00776374045802, }, ]
+7 Stop [{(16.0, 6.0): 0.00800678302587, (11.0, 11.0): 0.00681464169111, (17.0, 7.0): 0.00822315166455, (16.0, 9.0): 0.00815883131891, (14.0, 4.0): 0.00820690277778, (13.0, 4.0): 0.00818780323632, (20.0, 20.0): 0.00813861393509, (18.0, 4.0): 0.00719512164378, (18.0, 19.0): 0.00711408688671, (8.0, 5.0): 0.00698296231407, (10.0, 8.0): 0.00800678302587, (11.0, 5.0): 0.00800461508694, (10.0, 7.0): 0.0079475841285, (16.0, 3.0): 0.0069823410911, (12.0, 6.0): 0.00774430343511, (16.0, 22.0): 0.00817579527992, (13.0, 7.0): 0.00767586259542, (18.0, 9.0): 0.00694524514066, (15.0, 4.0): 0.00829765085171, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00557053444277, (9.0, 3.0): 0.00719512164378, (19.0, 24.0): 0.00808389518477, (12.0, 11.0): 0.00673632139702, (13.0, 10.0): 0.00818546048028, (18.0, 10.0): 0.00727081496747, (17.0, 18.0): 0.0076824598826, (9.0, 9.0): 0.00850400872768, (16.0, 18.0): 0.00813125129255, (11.0, 8.0): 0.0078181043257, (14.0, 8.0): 0.00774430343511, (21.0, 24.0): 0.00572404553974, (20.0, 16.0): 0.00809857956628, (17.0, 8.0): 0.00826343206637, (18.0, 15.0): 0.0097344380733, (8.0, 9.0): 0.00698296231407, (9.0, 4.0): 0.00880039168473, (10.0, 3.0): 0.0069823410911, (16.0, 7.0): 0.00794298409669, (11.0, 10.0): 0.00829765085171, (17.0, 6.0): 0.00829920810362, (16.0, 10.0): 0.00844223712274, (14.0, 5.0): 0.00792621310433, (13.0, 3.0): 0.00671631002173, (18.0, 5.0): 0.0069823410911, (17.0, 11.0): 0.00727081496747, (18.0, 16.0): 0.00969488227625, (8.0, 6.0): 0.00681995122249, (10.0, 9.0): 0.00820699006927, (9.0, 7.0): 0.00823355806033, (11.0, 4.0): 0.00829765085171, (10.0, 4.0): 0.00850388659027, (16.0, 4.0): 0.00850388659027, (12.0, 7.0): 0.0076902519084, (11.0, 9.0): 0.00800461508694, (15.0, 10.0): 0.00825953205842, (14.0, 6.0): 0.00774430343511, (13.0, 6.0): 0.00772991412214, (18.0, 6.0): 0.00681663803335, (17.0, 22.0): 0.00778802177003, (15.0, 7.0): 0.00776073854962, (18.0, 21.0): 0.00720737770324, (8.0, 3.0): 0.00549276545435, (10.0, 10.0): 0.00850388659027, (11.0, 3.0): 0.00681464169111, (12.0, 4.0): 0.00820690277778, (15.0, 9.0): 0.00798786625318, (14.0, 3.0): 0.00673694261998, (13.0, 9.0): 0.00790905582061, (12.0, 8.0): 0.00774430343511, (18.0, 11.0): 0.00776788456964, (18.0, 22.0): 0.00986429719241, (9.0, 8.0): 0.00830155085966, (14.0, 9.0): 0.00792161307252, (12.0, 9.0): 0.00792621310433, (17.0, 15.0): 0.00772059990484, (21.0, 20.0): 0.00557200697128, (18.0, 12.0): 0.00641452814215, (15.0, 11.0): 0.00678144051721, (8.0, 10.0): 0.00719512164378, (9.0, 11.0): 0.00719512164378, (12.0, 3.0): 0.00673694261998, (17.0, 5.0): 0.00850400872768, (16.0, 11.0): 0.00694462391769, (14.0, 10.0): 0.008196496382, (17.0, 10.0): 0.00875772558842, (15.0, 3.0): 0.00681464169111, (18.0, 17.0): 0.00710756021087, (8.0, 7.0): 0.00676695183507, (9.0, 6.0): 0.00830155085966, (11.0, 7.0): 0.00776073854962, (10.0, 5.0): 0.00820699006927, (16.0, 5.0): 0.00820699006927, (20.0, 24.0): 0.00842024523817, (19.0, 16.0): 0.00767670014869, (16.0, 8.0): 0.00799003419211, (14.0, 7.0): 0.0076902519084, (13.0, 5.0): 0.00790905582061, (18.0, 20.0): 0.00966819525352, (18.0, 7.0): 0.00675165340507, (15.0, 6.0): 0.0078181043257, (18.0, 18.0): 0.00961058257564, (8.0, 4.0): 0.00719512164378, (10.0, 11.0): 0.0069823410911, (13.0, 8.0): 0.00772991412214, (10.0, 6.0): 0.00800678302587, (15.0, 22.0): 0.00558378719934, (12.0, 5.0): 0.00792621310433, (17.0, 3.0): 0.00719512164378, (15.0, 8.0): 0.00781234732824, (21.0, 16.0): 0.00554537874742, (18.0, 8.0): 0.00678675004859, (15.0, 5.0): 0.00800461508694, (18.0, 23.0): 0.007462756584, (16.0, 15.0): 0.00812717116148, (12.0, 10.0): 0.00820690277778, (15.0, 15.0): 0.00555568644698, (13.0, 11.0): 0.00671299683259, (18.0, 13.0): 0.00680819784435, (18.0, 24.0): 0.00771481204973, (8.0, 11.0): 0.00549276545435, (9.0, 10.0): 0.00880039168473, (19.0, 20.0): 0.00770519204144, (17.0, 4.0): 0.00880039168473, (14.0, 11.0): 0.00672164418999, (18.0, 3.0): 0.00549276545435, (17.0, 9.0): 0.00844235926014, (18.0, 14.0): 0.00705765284519, (8.0, 8.0): 0.00681995122249, (9.0, 5.0): 0.00850400872768, (11.0, 6.0): 0.0078181043257, }, ]
+8 Stop [{(16.0, 6.0): 0.00805481392423, (11.0, 11.0): 0.00679285621515, (17.0, 7.0): 0.00823366853751, (16.0, 9.0): 0.00820426562942, (14.0, 4.0): 0.00820794964902, (13.0, 4.0): 0.00818121042793, (20.0, 20.0): 0.00806727214448, (18.0, 4.0): 0.00713536583878, (18.0, 19.0): 0.00719105675286, (8.0, 5.0): 0.00695031054062, (10.0, 8.0): 0.0080562024818, (11.0, 5.0): 0.00805071468759, (10.0, 7.0): 0.00799108935804, (16.0, 3.0): 0.00694880342455, (12.0, 6.0): 0.00778175737913, (16.0, 22.0): 0.00811316594965, (13.0, 7.0): 0.0077032389313, (18.0, 9.0): 0.00693917439121, (15.0, 4.0): 0.00830627148412, (1, 1): 0.00763358778626, (15.0, 18.0): 0.0054956843189, (9.0, 3.0): 0.00713536583878, (19.0, 24.0): 0.00807298415756, (12.0, 11.0): 0.00670737053574, (13.0, 10.0): 0.00817783230028, (18.0, 10.0): 0.00724753128712, (17.0, 18.0): 0.00767388270229, (9.0, 9.0): 0.00850832884678, (16.0, 18.0): 0.00805650427977, (11.0, 8.0): 0.00786690888465, (14.0, 8.0): 0.00777968597328, (21.0, 24.0): 0.0056687711826, (20.0, 16.0): 0.00803111594537, (17.0, 8.0): 0.00828048294878, (18.0, 15.0): 0.0097834143374, (8.0, 9.0): 0.00695031054062, (9.0, 4.0): 0.00875921822243, (10.0, 3.0): 0.00694880342455, (16.0, 7.0): 0.00798473830577, (11.0, 10.0): 0.00830627148412, (17.0, 6.0): 0.00831078981268, (16.0, 10.0): 0.00845982119712, (14.0, 5.0): 0.00795821804495, (13.0, 3.0): 0.00668510946269, (18.0, 5.0): 0.00694932693759, (17.0, 11.0): 0.00724737598138, (18.0, 16.0): 0.00978541687391, (8.0, 6.0): 0.00680277651484, (10.0, 9.0): 0.0082452567, (9.0, 7.0): 0.0082485867404, (11.0, 4.0): 0.00830627148412, (10.0, 4.0): 0.00850736911197, (16.0, 4.0): 0.00850736911197, (12.0, 7.0): 0.00772309198473, (11.0, 9.0): 0.00805071468759, (15.0, 10.0): 0.00827258649257, (14.0, 6.0): 0.00778175737913, (13.0, 6.0): 0.00776068788168, (18.0, 6.0): 0.00679749975311, (17.0, 22.0): 0.00778734664809, (15.0, 7.0): 0.00780488524173, (18.0, 21.0): 0.00728558234589, (8.0, 3.0): 0.00542848264001, (10.0, 10.0): 0.00850736911197, (11.0, 3.0): 0.00679301152089, (12.0, 4.0): 0.00820794964902, (15.0, 9.0): 0.00802803800626, (14.0, 3.0): 0.00670835413876, (13.0, 9.0): 0.00793445131997, (12.0, 8.0): 0.00778175737913, (18.0, 11.0): 0.00771555467352, (18.0, 22.0): 0.00995212631719, (9.0, 8.0): 0.00831416794033, (14.0, 9.0): 0.00795186699268, (12.0, 9.0): 0.00795821804495, (17.0, 15.0): 0.00771619987377, (21.0, 20.0): 0.00549887479734, (18.0, 12.0): 0.00634954647124, (15.0, 11.0): 0.00676383356791, (8.0, 10.0): 0.00713552114452, (9.0, 11.0): 0.00713536583878, (12.0, 3.0): 0.00670835413876, (17.0, 5.0): 0.00850770498983, (16.0, 11.0): 0.00693766727514, (14.0, 10.0): 0.00819303144614, (17.0, 10.0): 0.00876387187799, (15.0, 3.0): 0.00679301152089, (18.0, 17.0): 0.00719555294993, (8.0, 7.0): 0.00674842518208, (9.0, 6.0): 0.00831416794033, (11.0, 7.0): 0.00780695664758, (10.0, 5.0): 0.0082452567, (16.0, 5.0): 0.0082452567, (20.0, 24.0): 0.00836340291085, (19.0, 16.0): 0.00768214714072, (16.0, 8.0): 0.00803352580047, (14.0, 7.0): 0.00772309198473, (13.0, 5.0): 0.00793583987754, (18.0, 20.0): 0.00975926769051, (18.0, 7.0): 0.00673339070466, (15.0, 6.0): 0.00786690888465, (18.0, 18.0): 0.0097040146373, (8.0, 4.0): 0.00713552114452, (10.0, 11.0): 0.00694880342455, (13.0, 8.0): 0.00776068788168, (10.0, 6.0): 0.0080562024818, (15.0, 22.0): 0.00551715869298, (12.0, 5.0): 0.00795821804495, (17.0, 3.0): 0.00713536583878, (15.0, 8.0): 0.00785905795165, (21.0, 16.0): 0.0054722158958, (18.0, 8.0): 0.00677359856186, (15.0, 5.0): 0.00805071468759, (18.0, 23.0): 0.00752526384268, (16.0, 15.0): 0.00806043357893, (12.0, 10.0): 0.00820732579207, (15.0, 15.0): 0.00548690027732, (13.0, 11.0): 0.00667983270096, (18.0, 13.0): 0.00676012627723, (18.0, 24.0): 0.00775382127283, (8.0, 11.0): 0.00542848264001, (9.0, 10.0): 0.00875921822243, (19.0, 20.0): 0.00769831747222, (17.0, 4.0): 0.00875921822243, (14.0, 11.0): 0.00669331966135, (18.0, 3.0): 0.00542848264001, (17.0, 9.0): 0.00846078093193, (18.0, 14.0): 0.00705555974817, (8.0, 8.0): 0.00680277651484, (9.0, 5.0): 0.00850832884678, (11.0, 6.0): 0.00786690888465, }, ]
+9 Stop [{(16.0, 6.0): 0.00809250152547, (11.0, 11.0): 0.00677351184068, (17.0, 7.0): 0.00824528359711, (16.0, 9.0): 0.00823728631304, (14.0, 4.0): 0.0082078184559, (13.0, 4.0): 0.00817786728638, (20.0, 20.0): 0.00800463393757, (18.0, 4.0): 0.00708251105192, (18.0, 19.0): 0.00726283949957, (8.0, 5.0): 0.00692381781935, (10.0, 8.0): 0.00809472507296, (11.0, 5.0): 0.00808547396026, (10.0, 7.0): 0.00803180754192, (16.0, 3.0): 0.00692076901845, (12.0, 6.0): 0.00781813283503, (16.0, 22.0): 0.0080587502124, (13.0, 7.0): 0.00773415973282, (18.0, 9.0): 0.00693223224643, (15.0, 4.0): 0.00831271386676, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00543334358604, (9.0, 3.0): 0.00708238017366, (19.0, 24.0): 0.00806340278041, (12.0, 11.0): 0.00668648002137, (13.0, 10.0): 0.00817248634693, (18.0, 10.0): 0.00722833946356, (17.0, 18.0): 0.00766946598668, (9.0, 9.0): 0.00850297197706, (16.0, 18.0): 0.0079913044868, (11.0, 8.0): 0.00791250801615, (14.0, 8.0): 0.00781487815681, (21.0, 24.0): 0.00562218656158, (20.0, 16.0): 0.00797386230993, (17.0, 8.0): 0.0082950912842, (18.0, 15.0): 0.00981612767681, (8.0, 9.0): 0.00692381781935, (9.0, 4.0): 0.00872270498206, (10.0, 3.0): 0.00692076901845, (16.0, 7.0): 0.00802232636194, (11.0, 10.0): 0.00831255026894, (17.0, 6.0): 0.00832077039113, (16.0, 10.0): 0.00847452585821, (14.0, 5.0): 0.00798689592765, (13.0, 3.0): 0.00666169652064, (18.0, 5.0): 0.00692208913034, (17.0, 11.0): 0.00722792385811, (18.0, 16.0): 0.00985144116638, (8.0, 6.0): 0.00678821164745, (10.0, 9.0): 0.00827357436563, (9.0, 7.0): 0.00826070869134, (11.0, 4.0): 0.00831271386676, (10.0, 4.0): 0.00850082395984, (16.0, 4.0): 0.00850082395984, (12.0, 7.0): 0.00775936046438, (11.0, 9.0): 0.00808547396026, (15.0, 10.0): 0.00828165382039, (14.0, 6.0): 0.00781813283503, (13.0, 6.0): 0.00779265628976, (18.0, 6.0): 0.00678221231138, (17.0, 22.0): 0.00778820244521, (15.0, 7.0): 0.00784773647371, (18.0, 21.0): 0.00735637595056, (8.0, 3.0): 0.00537721595916, (10.0, 10.0): 0.00850082395984, (11.0, 3.0): 0.00677379656788, (12.0, 4.0): 0.0082078184559, (15.0, 9.0): 0.00806316301452, (14.0, 3.0): 0.00668820871039, (13.0, 9.0): 0.00795661130791, (12.0, 8.0): 0.00781813283503, (18.0, 11.0): 0.00766913097592, (18.0, 22.0): 0.0100207625249, (9.0, 8.0): 0.00832615133057, (14.0, 9.0): 0.00797741474767, (12.0, 9.0): 0.00798649344474, (17.0, 15.0): 0.00770473140191, (21.0, 20.0): 0.0054385281135, (18.0, 12.0): 0.00629877958454, (15.0, 11.0): 0.00675322242461, (8.0, 10.0): 0.00708279577911, (9.0, 11.0): 0.00708238017366, (12.0, 3.0): 0.00668820871039, (17.0, 5.0): 0.00850192567939, (16.0, 11.0): 0.00692918344553, (14.0, 10.0): 0.00819239336167, (17.0, 10.0): 0.00876062161854, (15.0, 3.0): 0.00677379656788, (18.0, 17.0): 0.00727087552778, (8.0, 7.0): 0.00673821190102, (9.0, 6.0): 0.00832615133057, (11.0, 7.0): 0.00785099115193, (10.0, 5.0): 0.00827357436563, (16.0, 5.0): 0.00827317188273, (20.0, 24.0): 0.00831318128077, (19.0, 16.0): 0.00768410858051, (16.0, 8.0): 0.00807241412722, (14.0, 7.0): 0.00775853190204, (13.0, 5.0): 0.00795883485541, (18.0, 20.0): 0.00983146911295, (18.0, 7.0): 0.00672285596241, (15.0, 6.0): 0.00791181602347, (18.0, 18.0): 0.00977950112769, (8.0, 4.0): 0.00708279577911, (10.0, 11.0): 0.00692073019202, (13.0, 8.0): 0.00779196429707, (10.0, 6.0): 0.00809472507296, (15.0, 22.0): 0.00546296799637, (12.0, 5.0): 0.00798689592765, (17.0, 3.0): 0.00708238017366, (15.0, 8.0): 0.00790103859468, (21.0, 16.0): 0.00541314659636, (18.0, 8.0): 0.00676763750419, (15.0, 5.0): 0.00808547396026, (18.0, 23.0): 0.00758105995114, (16.0, 15.0): 0.00800232795622, (12.0, 10.0): 0.00820677215822, (15.0, 15.0): 0.00543026133163, (13.0, 11.0): 0.00665569718457, (18.0, 13.0): 0.00672174416555, (18.0, 24.0): 0.00778402309102, (8.0, 11.0): 0.00537721595916, (9.0, 10.0): 0.00872270498206, (19.0, 20.0): 0.00769501346153, (17.0, 4.0): 0.00872254138424, (14.0, 11.0): 0.00667285277178, (18.0, 3.0): 0.00537717713273, (17.0, 9.0): 0.00847667387543, (18.0, 14.0): 0.00705108225948, (8.0, 8.0): 0.00678821164745, (9.0, 5.0): 0.00850297197706, (11.0, 6.0): 0.00791250801615, }, ]
+10 Stop [{(16.0, 6.0): 0.00812411723695, (11.0, 11.0): 0.00675769056731, (17.0, 7.0): 0.00825740831748, (16.0, 9.0): 0.00826481263768, (14.0, 4.0): 0.00820911128493, (13.0, 4.0): 0.00817589194088, (20.0, 20.0): 0.00795247985645, (18.0, 4.0): 0.00703805069999, (18.0, 19.0): 0.00732368906002, (8.0, 5.0): 0.00689930070689, (10.0, 8.0): 0.00812775326545, (11.0, 5.0): 0.00811423322729, (10.0, 7.0): 0.00806659150622, (16.0, 3.0): 0.00689440123196, (12.0, 6.0): 0.00785391070659, (16.0, 22.0): 0.00801380155073, (13.0, 7.0): 0.00776733453721, (18.0, 9.0): 0.00692738707863, (15.0, 4.0): 0.00831481519052, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00538043995529, (9.0, 3.0): 0.00703773361416, (19.0, 24.0): 0.0080535357174, (12.0, 11.0): 0.0066702766933, (13.0, 10.0): 0.00816957693109, (18.0, 10.0): 0.00720954999519, (17.0, 18.0): 0.00766513210642, (9.0, 9.0): 0.0084960349859, (16.0, 18.0): 0.00793692861751, (11.0, 8.0): 0.00795236620727, (14.0, 8.0): 0.00784876553965, (21.0, 24.0): 0.00558215370771, (20.0, 16.0): 0.00792589692832, (17.0, 8.0): 0.00830980195284, (18.0, 15.0): 0.0098354967646, (8.0, 9.0): 0.00689930070689, (9.0, 4.0): 0.00868659417198, (10.0, 3.0): 0.00689440123196, (16.0, 7.0): 0.00805605241709, (11.0, 10.0): 0.00831450202962, (17.0, 6.0): 0.00832764931646, (16.0, 10.0): 0.00848311338342, (14.0, 5.0): 0.00801143120685, (13.0, 3.0): 0.00664510194263, (18.0, 5.0): 0.00689708825928, (17.0, 11.0): 0.0072086838936, (18.0, 16.0): 0.00990188691356, (8.0, 6.0): 0.00677779060807, (10.0, 9.0): 0.00829151386715, (9.0, 7.0): 0.00827351675414, (11.0, 4.0): 0.00831481519052, (10.0, 4.0): 0.00849215568947, (16.0, 4.0): 0.00849204247333, (12.0, 7.0): 0.00779615540384, (11.0, 9.0): 0.00811412001115, (15.0, 10.0): 0.00829065281711, (14.0, 6.0): 0.00785360659559, (13.0, 6.0): 0.00782438330961, (18.0, 6.0): 0.00677094342926, (17.0, 22.0): 0.00778750818375, (15.0, 7.0): 0.00788828987117, (18.0, 21.0): 0.0074151832263, (8.0, 3.0): 0.00533369930791, (10.0, 10.0): 0.0084921132633, (11.0, 3.0): 0.00675823634753, (12.0, 4.0): 0.00820911128493, (15.0, 9.0): 0.00809211129806, (14.0, 3.0): 0.00667248914091, (13.0, 9.0): 0.00797699402887, (12.0, 8.0): 0.00785369181148, (18.0, 11.0): 0.00763094176924, (18.0, 22.0): 0.0100804034135, (9.0, 8.0): 0.00833396432625, (14.0, 9.0): 0.00800089211772, (12.0, 9.0): 0.00801069674123, (17.0, 15.0): 0.00768971837191, (21.0, 20.0): 0.00538747536927, (18.0, 12.0): 0.00625745732734, (15.0, 11.0): 0.00674514542456, (8.0, 10.0): 0.00703859971575, (9.0, 11.0): 0.00703772390755, (12.0, 3.0): 0.00667248914091, (17.0, 5.0): 0.00849420415008, (16.0, 11.0): 0.0069224876037, (14.0, 10.0): 0.00819300284828, (17.0, 10.0): 0.00875643010085, (15.0, 3.0): 0.00675823634753, (18.0, 17.0): 0.00733136074944, (8.0, 7.0): 0.00673080053725, (9.0, 6.0): 0.00833396432625, (11.0, 7.0): 0.00789343503811, (10.0, 5.0): 0.00829151386715, (16.0, 5.0): 0.00829077940154, (20.0, 24.0): 0.00826995463452, (19.0, 16.0): 0.00768218392174, (16.0, 8.0): 0.00810563133622, (14.0, 7.0): 0.00779468782008, (13.0, 5.0): 0.00798063005737, (18.0, 20.0): 0.00989594358212, (18.0, 7.0): 0.00671723316392, (15.0, 6.0): 0.00795113216359, (18.0, 18.0): 0.00984593561993, (8.0, 4.0): 0.00703859971575, (10.0, 11.0): 0.00689432034356, (13.0, 8.0): 0.00782314926593, (10.0, 6.0): 0.00812775326545, (15.0, 22.0): 0.00541773406899, (12.0, 5.0): 0.00801143120685, (17.0, 3.0): 0.00703768795245, (15.0, 8.0): 0.00793984607338, (21.0, 16.0): 0.00536452740149, (18.0, 8.0): 0.0067646996851, (15.0, 5.0): 0.00811401433217, (18.0, 23.0): 0.0076268849786, (16.0, 15.0): 0.00795081711853, (12.0, 10.0): 0.00820728044911, (15.0, 15.0): 0.00538257331789, (13.0, 11.0): 0.00663825476382, (18.0, 13.0): 0.00669053533652, (18.0, 24.0): 0.00780949527419, (8.0, 11.0): 0.00533369930791, (9.0, 10.0): 0.00868659417198, (19.0, 20.0): 0.00769108307794, (17.0, 4.0): 0.00868628101109, (14.0, 11.0): 0.00665892176757, (18.0, 3.0): 0.00533361518397, (17.0, 9.0): 0.00848699267985, (18.0, 14.0): 0.00704497406088, (8.0, 8.0): 0.00677779060807, (9.0, 5.0): 0.0084960349859, (11.0, 6.0): 0.00795236620727, }, ]
+11 Stop [{(16.0, 6.0): 0.00814994610712, (11.0, 11.0): 0.00674347230697, (17.0, 7.0): 0.00826949069175, (16.0, 9.0): 0.00828653226704, (14.0, 4.0): 0.00821037220986, (13.0, 4.0): 0.00817622439928, (20.0, 20.0): 0.00790825866276, (18.0, 4.0): 0.00699891267002, (18.0, 19.0): 0.00737669948719, (8.0, 5.0): 0.00687812975486, (10.0, 8.0): 0.00815443783447, (11.0, 5.0): 0.00813687193982, (10.0, 7.0): 0.00809780996587, (16.0, 3.0): 0.00687098987765, (12.0, 6.0): 0.00788764936683, (16.0, 22.0): 0.00797597027932, (13.0, 7.0): 0.00780114206733, (18.0, 9.0): 0.0069228077257, (15.0, 4.0): 0.00831555574307, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00533586285015, (9.0, 3.0): 0.00699825231523, (19.0, 24.0): 0.00804432854204, (12.0, 11.0): 0.00665801159593, (13.0, 10.0): 0.00816893454242, (18.0, 10.0): 0.00719325573094, (17.0, 18.0): 0.00766217081296, (9.0, 9.0): 0.00848644664698, (16.0, 18.0): 0.00789090688562, (11.0, 8.0): 0.00798827326669, (14.0, 8.0): 0.00788146816335, (21.0, 24.0): 0.0055477283987, (20.0, 16.0): 0.00788495731743, (17.0, 8.0): 0.00832314177855, (18.0, 15.0): 0.0098459100638, (8.0, 9.0): 0.00687812975486, (9.0, 4.0): 0.00865404030195, (10.0, 3.0): 0.00687102393631, (16.0, 7.0): 0.00808629983578, (11.0, 10.0): 0.00831502579246, (17.0, 6.0): 0.00833341166151, (16.0, 10.0): 0.00848962368874, (14.0, 5.0): 0.00803375869538, (13.0, 3.0): 0.00663269844429, (18.0, 5.0): 0.00687536142715, (17.0, 11.0): 0.00719181433681, (18.0, 16.0): 0.00993886080993, (8.0, 6.0): 0.0067687658283, (10.0, 9.0): 0.00830430707859, (9.0, 7.0): 0.00828430751688, (11.0, 4.0): 0.00831562216533, (10.0, 4.0): 0.00848061609182, (16.0, 4.0): 0.00848038392329, (12.0, 7.0): 0.00783290549945, (11.0, 9.0): 0.00813663977128, (15.0, 10.0): 0.00829806242551, (14.0, 6.0): 0.00788704821914, (13.0, 6.0): 0.00785597304127, (18.0, 6.0): 0.00676184607641, (17.0, 22.0): 0.0077872040982, (15.0, 7.0): 0.00792600166906, (18.0, 21.0): 0.00746581449101, (8.0, 3.0): 0.00529698310178, (10.0, 10.0): 0.0084805247523, (11.0, 3.0): 0.0067442447182, (12.0, 4.0): 0.00821037220986, (15.0, 9.0): 0.00811766298879, (14.0, 3.0): 0.00666077911475, (13.0, 9.0): 0.00799626181697, (12.0, 8.0): 0.00788721188595, (18.0, 11.0): 0.00759811302362, (18.0, 22.0): 0.0101299596496, (9.0, 8.0): 0.00834070151837, (14.0, 9.0): 0.00802235316651, (12.0, 9.0): 0.00803255660837, (17.0, 15.0): 0.0076723860213, (21.0, 20.0): 0.00534456430345, (18.0, 12.0): 0.00622373299693, (15.0, 11.0): 0.00673976926238, (8.0, 10.0): 0.00699969370936, (9.0, 11.0): 0.00699822966648, (12.0, 3.0): 0.00666077911475, (17.0, 5.0): 0.00848405484065, (16.0, 11.0): 0.00691570190715, (14.0, 10.0): 0.00819555538473, (17.0, 10.0): 0.00874986570502, (15.0, 3.0): 0.0067442447182, (18.0, 17.0): 0.00738074254985, (8.0, 7.0): 0.00672629878917, (9.0, 6.0): 0.00834070151837, (11.0, 7.0): 0.00793218287254, (10.0, 5.0): 0.00830433820705, (16.0, 5.0): 0.00830303151881, (20.0, 24.0): 0.0082322403045, (19.0, 16.0): 0.00767816534508, (16.0, 8.0): 0.00813522888344, (14.0, 7.0): 0.00783053687274, (13.0, 5.0): 0.00800075354431, (18.0, 20.0): 0.00995063768362, (18.0, 7.0): 0.00671470073306, (15.0, 6.0): 0.00798623203989, (18.0, 18.0): 0.00990154454361, (8.0, 4.0): 0.00699969370936, (10.0, 11.0): 0.00687085635726, (13.0, 8.0): 0.00785398703663, (10.0, 6.0): 0.00815443783447, (15.0, 22.0): 0.00538013421807, (12.0, 5.0): 0.00803386329661, (17.0, 3.0): 0.00699815022631, (15.0, 8.0): 0.0079749288237, (21.0, 16.0): 0.00532422934352, (18.0, 8.0): 0.00676429037248, (15.0, 5.0): 0.00813643445893, (18.0, 23.0): 0.00766556093764, (16.0, 15.0): 0.00790479848909, (12.0, 10.0): 0.00820798040354, (15.0, 15.0): 0.00534155903179, (13.0, 11.0): 0.00662577869239, (18.0, 13.0): 0.00666432224158, (18.0, 24.0): 0.00782997199006, (8.0, 11.0): 0.00529698067513, (9.0, 10.0): 0.00865402939006, (19.0, 20.0): 0.00768850687366, (17.0, 4.0): 0.00865344019001, (14.0, 11.0): 0.00664918105864, (18.0, 3.0): 0.0052968063911, (17.0, 9.0): 0.0084954542439, (18.0, 14.0): 0.00703737732362, (8.0, 8.0): 0.0067687658283, (9.0, 5.0): 0.00848644664698, (11.0, 6.0): 0.00798833968894, }, ]
+12 Stop [{(16.0, 6.0): 0.00817178423262, (11.0, 11.0): 0.00673109022353, (17.0, 7.0): 0.00828114397678, (16.0, 9.0): 0.00830490041438, (14.0, 4.0): 0.00821237698821, (13.0, 4.0): 0.00817771908373, (20.0, 20.0): 0.0078712039972, (18.0, 4.0): 0.00696485869266, (18.0, 19.0): 0.00742194538587, (8.0, 5.0): 0.00685893665253, (10.0, 8.0): 0.0081771059328, (11.0, 5.0): 0.00815580705955, (10.0, 7.0): 0.00812463520485, (16.0, 3.0): 0.0068494229902, (12.0, 6.0): 0.00791974617862, (16.0, 22.0): 0.00794445856821, (13.0, 7.0): 0.00783490890348, (18.0, 9.0): 0.00691917930606, (15.0, 4.0): 0.00831461044658, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00529823372028, (9.0, 3.0): 0.0069637881572, (19.0, 24.0): 0.0080355136122, (12.0, 11.0): 0.00664841172953, (13.0, 10.0): 0.00817019110263, (18.0, 10.0): 0.00717851726107, (17.0, 18.0): 0.00765974536876, (9.0, 9.0): 0.00847662936551, (16.0, 18.0): 0.00785229065793, (11.0, 8.0): 0.00801974912619, (14.0, 8.0): 0.00791265481259, (21.0, 24.0): 0.00551794430085, (20.0, 16.0): 0.00784982222593, (17.0, 8.0): 0.00833573571265, (18.0, 15.0): 0.00984944716674, (8.0, 9.0): 0.00685893665253, (9.0, 4.0): 0.0086237071143, (10.0, 3.0): 0.0068495034608, (16.0, 7.0): 0.00811339343743, (11.0, 10.0): 0.00831390222066, (17.0, 6.0): 0.00833784217931, (16.0, 10.0): 0.00849374229405, (14.0, 5.0): 0.00805367342553, (13.0, 3.0): 0.0066238090483, (18.0, 5.0): 0.00685584101153, (17.0, 11.0): 0.0071763804579, (18.0, 16.0): 0.00996582868341, (8.0, 6.0): 0.00676143889676, (10.0, 9.0): 0.00831247121672, (9.0, 7.0): 0.00829427880119, (11.0, 4.0): 0.00831475766092, (10.0, 4.0): 0.00846867933731, (16.0, 4.0): 0.00846822974445, (12.0, 7.0): 0.00786821833842, (11.0, 9.0): 0.00815536050348, (15.0, 10.0): 0.00830512321315, (14.0, 6.0): 0.00791870977369, (13.0, 6.0): 0.00788651324778, (18.0, 6.0): 0.00675465939146, (17.0, 22.0): 0.00778688137157, (15.0, 7.0): 0.00796079984823, (18.0, 21.0): 0.00750875416364, (8.0, 3.0): 0.00526514754008, (10.0, 10.0): 0.008468491492, (11.0, 3.0): 0.00673213637538, (12.0, 4.0): 0.0082124111929, (15.0, 9.0): 0.00813990793431, (14.0, 3.0): 0.00665150501128, (13.0, 9.0): 0.00801481863418, (12.0, 8.0): 0.00791898685942, (18.0, 11.0): 0.00757037343849, (18.0, 22.0): 0.0101720164214, (9.0, 8.0): 0.00834537016042, (14.0, 9.0): 0.00804266030407, (12.0, 9.0): 0.00805213009722, (17.0, 15.0): 0.00765387235275, (21.0, 20.0): 0.00530836837265, (18.0, 12.0): 0.00619554666874, (15.0, 11.0): 0.00673577554215, (8.0, 10.0): 0.00696592196911, (9.0, 11.0): 0.00696373760899, (12.0, 3.0): 0.00665150501128, (17.0, 5.0): 0.00847362799898, (16.0, 11.0): 0.00690974611433, (14.0, 10.0): 0.0081992763685, (17.0, 10.0): 0.00874325624447, (15.0, 3.0): 0.00673211457627, (18.0, 17.0): 0.007420348855, (8.0, 7.0): 0.00672281911482, (9.0, 6.0): 0.00834537016042, (11.0, 7.0): 0.0079679022587, (10.0, 5.0): 0.00831254214403, (16.0, 5.0): 0.00831077016976, (20.0, 24.0): 0.00819938714819, (19.0, 16.0): 0.00767242275665, (16.0, 8.0): 0.0081612263177, (14.0, 7.0): 0.00786523939833, (13.0, 5.0): 0.00802011459537, (18.0, 20.0): 0.00999799970486, (18.0, 7.0): 0.00671410743384, (15.0, 6.0): 0.00801713249883, (18.0, 18.0): 0.00994859041923, (8.0, 4.0): 0.00696592496037, (10.0, 11.0): 0.00684924453314, (13.0, 8.0): 0.00788401419405, (10.0, 6.0): 0.00817712544294, (15.0, 22.0): 0.00534872386881, (12.0, 5.0): 0.00805390207149, (17.0, 3.0): 0.00696357519436, (15.0, 8.0): 0.00800705810567, (21.0, 16.0): 0.00529043377757, (18.0, 8.0): 0.00676507806352, (15.0, 5.0): 0.00815500249122, (18.0, 23.0): 0.00769766755497, (16.0, 15.0): 0.00786317435269, (12.0, 10.0): 0.00820940236834, (15.0, 15.0): 0.00530571234559, (13.0, 11.0): 0.00661702974523, (18.0, 13.0): 0.00664181085404, (18.0, 24.0): 0.00784662048991, (8.0, 11.0): 0.005265141069, (9.0, 10.0): 0.00862368100183, (19.0, 20.0): 0.00768658126638, (17.0, 4.0): 0.00862284151487, (14.0, 11.0): 0.0066427933303, (18.0, 3.0): 0.00526486785445, (17.0, 9.0): 0.00850170073033, (18.0, 14.0): 0.00702871070435, (8.0, 8.0): 0.00676143889676, (9.0, 5.0): 0.00847663777358, (11.0, 6.0): 0.00801989634052, }, ]
+13 Stop [{(16.0, 6.0): 0.00819018450359, (11.0, 11.0): 0.00671996706568, (17.0, 7.0): 0.00829214991969, (16.0, 9.0): 0.00832029553816, (14.0, 4.0): 0.00821455224163, (13.0, 4.0): 0.00818047663412, (20.0, 20.0): 0.00784011260752, (18.0, 4.0): 0.0069346991805, (18.0, 19.0): 0.00746062932631, (8.0, 5.0): 0.00684190268213, (10.0, 8.0): 0.00819586632819, (11.0, 5.0): 0.0081713810553, (10.0, 7.0): 0.00814820952809, (16.0, 3.0): 0.0068299241391, (12.0, 6.0): 0.00794965523536, (16.0, 22.0): 0.00791814191433, (13.0, 7.0): 0.00786777881641, (18.0, 9.0): 0.00691603380373, (15.0, 4.0): 0.00831307257816, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00526654707945, (9.0, 3.0): 0.00693311350738, (19.0, 24.0): 0.0080271737501, (12.0, 11.0): 0.00664101339824, (13.0, 10.0): 0.00817299513104, (18.0, 10.0): 0.0071656687503, (17.0, 18.0): 0.00765782628037, (9.0, 9.0): 0.00846636451203, (16.0, 18.0): 0.00781979553571, (11.0, 8.0): 0.00804782093611, (14.0, 8.0): 0.00794232536294, (21.0, 24.0): 0.00549210119982, (20.0, 16.0): 0.00781929854965, (17.0, 8.0): 0.00834723086337, (18.0, 15.0): 0.0098480133149, (8.0, 9.0): 0.0068419002527, (9.0, 4.0): 0.00859623312443, (10.0, 3.0): 0.00683009286581, (16.0, 7.0): 0.00813766956256, (11.0, 10.0): 0.00831220387278, (17.0, 6.0): 0.0083415445254, (16.0, 10.0): 0.00849684096179, (14.0, 5.0): 0.0080719754548, (13.0, 3.0): 0.00661724858446, (18.0, 5.0): 0.00683856537371, (17.0, 11.0): 0.00716277625157, (18.0, 16.0): 0.00998474283309, (8.0, 6.0): 0.00675487269811, (10.0, 9.0): 0.0083180117021, (9.0, 7.0): 0.00830263564408, (11.0, 4.0): 0.00831336514398, (10.0, 4.0): 0.00845631311651, (16.0, 4.0): 0.00845564612268, (12.0, 7.0): 0.00790195250773, (11.0, 9.0): 0.00817072263285, (15.0, 10.0): 0.00831155384754, (14.0, 6.0): 0.00794825366883, (13.0, 6.0): 0.00791599853979, (18.0, 6.0): 0.00674872039507, (17.0, 22.0): 0.00778678408527, (15.0, 7.0): 0.0079927246577, (18.0, 21.0): 0.0075454220861, (8.0, 3.0): 0.00523747745942, (10.0, 10.0): 0.00845602031953, (11.0, 3.0): 0.00672123774405, (12.0, 4.0): 0.00821463425463, (15.0, 9.0): 0.00815992999432, (14.0, 3.0): 0.00664433255661, (13.0, 9.0): 0.00803276286643, (12.0, 8.0): 0.00794861972306, (18.0, 11.0): 0.00754650001228, (18.0, 22.0): 0.0102074384687, (9.0, 8.0): 0.00834903657617, (14.0, 9.0): 0.00806186361073, (12.0, 9.0): 0.00807013969253, (17.0, 15.0): 0.0076347106935, (21.0, 20.0): 0.00527791885206, (18.0, 12.0): 0.00617171253388, (15.0, 11.0): 0.00673310338932, (8.0, 10.0): 0.00693599787878, (9.0, 11.0): 0.0069330287589, (12.0, 3.0): 0.00664434484732, (17.0, 5.0): 0.00846297662547, (16.0, 11.0): 0.0069042239874, (14.0, 10.0): 0.00820414853024, (17.0, 10.0): 0.00873646428351, (15.0, 3.0): 0.00672118273375, (18.0, 17.0): 0.007452054394, (8.0, 7.0): 0.00672027998732, (9.0, 6.0): 0.00834904215982, (11.0, 7.0): 0.00800008025373, (10.0, 5.0): 0.00831815835148, (16.0, 5.0): 0.00831588292741, (20.0, 24.0): 0.00817060573722, (19.0, 16.0): 0.00766553883171, (16.0, 8.0): 0.00818446279757, (14.0, 7.0): 0.00789846254726, (13.0, 5.0): 0.00803838448478, (18.0, 20.0): 0.0100385935315, (18.0, 7.0): 0.00671469001756, (15.0, 6.0): 0.00804468576892, (18.0, 18.0): 0.00998782747469, (8.0, 4.0): 0.00693600600611, (10.0, 11.0): 0.00682971638981, (13.0, 8.0): 0.00791307668074, (10.0, 6.0): 0.00819591385855, (15.0, 22.0): 0.00532251479047, (12.0, 5.0): 0.00807239621959, (17.0, 3.0): 0.0069327738006, (15.0, 8.0): 0.0080363294037, (21.0, 16.0): 0.00526182429743, (18.0, 8.0): 0.00676673834338, (15.0, 5.0): 0.00817023780638, (18.0, 23.0): 0.00772443345363, (16.0, 15.0): 0.00782520507461, (12.0, 10.0): 0.00821122809015, (15.0, 15.0): 0.00527391429036, (13.0, 11.0): 0.00661109692179, (18.0, 13.0): 0.00662202274238, (18.0, 24.0): 0.00785993388569, (8.0, 11.0): 0.00523746191753, (9.0, 10.0): 0.00859617526639, (19.0, 20.0): 0.00768542834741, (17.0, 4.0): 0.00859504832342, (14.0, 11.0): 0.00663875492812, (18.0, 3.0): 0.00523706442324, (17.0, 9.0): 0.00850691344688, (18.0, 14.0): 0.00701920231115, (8.0, 8.0): 0.00675487269811, (9.0, 5.0): 0.0084663856016, (11.0, 6.0): 0.00804809545607, }, ]
+14 Stop [{(16.0, 6.0): 0.00820599345758, (11.0, 11.0): 0.00671011498799, (17.0, 7.0): 0.0083023914786, (16.0, 9.0): 0.00833368854774, (14.0, 4.0): 0.00821709852089, (13.0, 4.0): 0.00818392166915, (20.0, 20.0): 0.00781413974434, (18.0, 4.0): 0.00690801394432, (18.0, 19.0): 0.00749348169365, (8.0, 5.0): 0.00682647246691, (10.0, 8.0): 0.00821178901414, (11.0, 5.0): 0.00818467924528, (10.0, 7.0): 0.00816854112253, (16.0, 3.0): 0.0068120993929, (12.0, 6.0): 0.00797761959171, (16.0, 22.0): 0.00789623272844, (13.0, 7.0): 0.00789945381839, (18.0, 9.0): 0.00691349291373, (15.0, 4.0): 0.00831099743321, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00523987205163, (9.0, 3.0): 0.00690587403799, (19.0, 24.0): 0.00801923779101, (12.0, 11.0): 0.00663526496446, (13.0, 10.0): 0.00817700115402, (18.0, 10.0): 0.00715434349828, (17.0, 18.0): 0.0076561641407, (9.0, 9.0): 0.00845639267451, (16.0, 18.0): 0.00779248081175, (11.0, 8.0): 0.00807262197479, (14.0, 8.0): 0.00797041152107, (21.0, 24.0): 0.00546958584565, (20.0, 16.0): 0.00779252460917, (17.0, 8.0): 0.00835783599135, (18.0, 15.0): 0.00984282670521, (8.0, 9.0): 0.0068264656098, (9.0, 4.0): 0.00857106624688, (10.0, 3.0): 0.00681237365261, (16.0, 7.0): 0.00815943828822, (11.0, 10.0): 0.00831002674948, (17.0, 6.0): 0.0083445512136, (16.0, 10.0): 0.00849908692305, (14.0, 5.0): 0.00808868073129, (13.0, 3.0): 0.00661257682392, (18.0, 5.0): 0.00682309156241, (17.0, 11.0): 0.00715066791952, (18.0, 16.0): 0.0099973867789, (8.0, 6.0): 0.00674907227385, (10.0, 9.0): 0.00832139709894, (9.0, 7.0): 0.00830985477846, (11.0, 4.0): 0.0083114481501, (10.0, 4.0): 0.00844433716373, (16.0, 4.0): 0.00844341102511, (12.0, 7.0): 0.00793361730726, (11.0, 9.0): 0.00818377976728, (15.0, 10.0): 0.00831777051411, (14.0, 6.0): 0.00797587519592, (13.0, 6.0): 0.00794401414903, (18.0, 6.0): 0.00674380285166, (17.0, 22.0): 0.00778683495038, (15.0, 7.0): 0.00802197438803, (18.0, 21.0): 0.00757664869543, (8.0, 3.0): 0.00521310569818, (10.0, 10.0): 0.00844391132961, (11.0, 3.0): 0.00671159189309, (12.0, 4.0): 0.00821726066229, (15.0, 9.0): 0.00817799447889, (14.0, 3.0): 0.00663860141703, (13.0, 9.0): 0.00805016759629, (12.0, 8.0): 0.00797632190803, (18.0, 11.0): 0.00752597376483, (18.0, 22.0): 0.0102374061588, (9.0, 8.0): 0.00835149878662, (14.0, 9.0): 0.00808020607293, (12.0, 9.0): 0.008086694601, (17.0, 15.0): 0.00761530858476, (21.0, 20.0): 0.0052523302952, (18.0, 12.0): 0.00615120342849, (15.0, 11.0): 0.00673133134572, (8.0, 10.0): 0.00690953022532, (9.0, 11.0): 0.00690574197963, (12.0, 3.0): 0.00663863464489, (17.0, 5.0): 0.00845273182377, (16.0, 11.0): 0.00689939409943, (14.0, 10.0): 0.00820980095594, (17.0, 10.0): 0.0087301549889, (15.0, 3.0): 0.006711474373, (18.0, 17.0): 0.00747716070828, (8.0, 7.0): 0.0067180334747, (9.0, 6.0): 0.00835151362734, (11.0, 7.0): 0.00802923173635, (10.0, 5.0): 0.00832163039669, (16.0, 5.0): 0.00831898559711, (20.0, 24.0): 0.00814531042902, (19.0, 16.0): 0.00765779816873, (16.0, 8.0): 0.00820519763307, (14.0, 7.0): 0.00792990901063, (13.0, 5.0): 0.00805584626662, (18.0, 20.0): 0.0100734749695, (18.0, 7.0): 0.00671596717294, (15.0, 6.0): 0.00806921728108, (18.0, 18.0): 0.0100204602022, (8.0, 4.0): 0.00690954961675, (10.0, 11.0): 0.0068118821175, (13.0, 8.0): 0.00794091268992, (10.0, 6.0): 0.0082118838708, (15.0, 22.0): 0.00530063803335, (12.0, 5.0): 0.00808929024993, (17.0, 3.0): 0.00690537229069, (15.0, 8.0): 0.00806315444324, (21.0, 16.0): 0.0052373449986, (18.0, 8.0): 0.00676881171384, (15.0, 5.0): 0.00818317090713, (18.0, 23.0): 0.00774664873029, (16.0, 15.0): 0.00779026240122, (12.0, 10.0): 0.00821356670686, (15.0, 15.0): 0.00524535883672, (13.0, 11.0): 0.00660731533824, (18.0, 13.0): 0.00660431252914, (18.0, 24.0): 0.00787051369648, (8.0, 11.0): 0.00521307729859, (9.0, 10.0): 0.00857096867901, (19.0, 20.0): 0.00768482870119, (17.0, 4.0): 0.00856960245959, (14.0, 11.0): 0.00663656851586, (18.0, 3.0): 0.00521255638635, (17.0, 9.0): 0.00851118927732, (18.0, 14.0): 0.00700907834657, (8.0, 8.0): 0.00674907054977, (9.0, 5.0): 0.008456439518, (11.0, 6.0): 0.0080730251718, }, ]
+15 Stop [{(16.0, 6.0): 0.00821963716752, (11.0, 11.0): 0.00670132086738, (17.0, 7.0): 0.00831183518759, (16.0, 9.0): 0.00834543137201, (14.0, 4.0): 0.00821979002517, (13.0, 4.0): 0.00818796962977, (20.0, 20.0): 0.00779248796277, (18.0, 4.0): 0.00688421566405, (18.0, 19.0): 0.00752131102415, (8.0, 5.0): 0.00681256149298, (10.0, 8.0): 0.0082251695994, (11.0, 5.0): 0.00819601464276, (10.0, 7.0): 0.00818626010446, (16.0, 3.0): 0.00679591871917, (12.0, 6.0): 0.00800351329395, (16.0, 22.0): 0.00787800824295, (13.0, 7.0): 0.00792958139504, (18.0, 9.0): 0.00691139988693, (15.0, 4.0): 0.00830880417052, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00521742962973, (9.0, 3.0): 0.00688147707142, (19.0, 24.0): 0.0080116873055, (12.0, 11.0): 0.00663088716404, (13.0, 10.0): 0.00818193611718, (18.0, 10.0): 0.00714448354199, (17.0, 18.0): 0.00765466336804, (9.0, 9.0): 0.00844666785027, (16.0, 18.0): 0.0077694843433, (11.0, 8.0): 0.00809474888012, (14.0, 8.0): 0.00799691874756, (21.0, 24.0): 0.00544989639916, (20.0, 16.0): 0.00776878009193, (17.0, 8.0): 0.00836752580453, (18.0, 15.0): 0.00983484901481, (8.0, 9.0): 0.00681254513113, (9.0, 4.0): 0.00854822449941, (10.0, 3.0): 0.00679632732867, (16.0, 7.0): 0.0081789990491, (11.0, 10.0): 0.00830778565764, (17.0, 6.0): 0.00834708430762, (16.0, 10.0): 0.00850098871962, (14.0, 5.0): 0.00810413432437, (13.0, 3.0): 0.00660923755529, (18.0, 5.0): 0.00680927345435, (17.0, 11.0): 0.00714003994373, (18.0, 16.0): 0.0100050396634, (8.0, 6.0): 0.00674369727933, (10.0, 9.0): 0.0083234539769, (9.0, 7.0): 0.00831579003167, (11.0, 4.0): 0.00830944301755, (10.0, 4.0): 0.00843278980463, (16.0, 4.0): 0.00843162415123, (12.0, 7.0): 0.00796324887235, (11.0, 9.0): 0.0081949040383, (15.0, 10.0): 0.00832376341083, (14.0, 6.0): 0.00800153927359, (13.0, 6.0): 0.00797056180433, (18.0, 6.0): 0.00673962563947, (17.0, 22.0): 0.00778704076598, (15.0, 7.0): 0.00804873868224, (18.0, 21.0): 0.00760326984723, (8.0, 3.0): 0.00519155781308, (10.0, 10.0): 0.00843223130078, (11.0, 3.0): 0.00670293967767, (12.0, 4.0): 0.00822004280752, (15.0, 9.0): 0.00819456281138, (14.0, 3.0): 0.00663408285767, (13.0, 9.0): 0.00806699642283, (12.0, 8.0): 0.0080020336962, (18.0, 11.0): 0.00750814743849, (18.0, 22.0): 0.0102627289984, (9.0, 8.0): 0.00835317468819, (14.0, 9.0): 0.00809771612503, (12.0, 9.0): 0.00810210611589, (17.0, 15.0): 0.00759589700496, (21.0, 20.0): 0.00523087839571, (18.0, 12.0): 0.00613333209375, (15.0, 11.0): 0.00673037759307, (8.0, 10.0): 0.00688588512745, (9.0, 11.0): 0.00688129219295, (12.0, 3.0): 0.00663415297293, (17.0, 5.0): 0.00844294710942, (16.0, 11.0): 0.00689516572578, (14.0, 10.0): 0.00821609786836, (17.0, 10.0): 0.0087243390923, (15.0, 3.0): 0.00670274328237, (18.0, 17.0): 0.00749684864804, (8.0, 7.0): 0.00671601503027, (9.0, 6.0): 0.00835320642738, (11.0, 7.0): 0.00805540746255, (10.0, 5.0): 0.0083237940389, (16.0, 5.0): 0.00832085856214, (20.0, 24.0): 0.00812297566283, (19.0, 16.0): 0.00764945428736, (16.0, 8.0): 0.00822386298073, (14.0, 7.0): 0.00795952478681, (13.0, 5.0): 0.0080723506132, (18.0, 20.0): 0.0101033551058, (18.0, 7.0): 0.00671762373033, (15.0, 6.0): 0.00809124624595, (18.0, 18.0): 0.0100473838981, (8.0, 4.0): 0.00688592066968, (10.0, 11.0): 0.0067957170372, (13.0, 8.0): 0.00796745350674, (10.0, 6.0): 0.00822531883783, (15.0, 22.0): 0.00528239659282, (12.0, 5.0): 0.00810493920317, (17.0, 3.0): 0.00688080720827, (15.0, 8.0): 0.00808774649286, (21.0, 16.0): 0.00521618070235, (18.0, 8.0): 0.0067711351484, (15.0, 5.0): 0.00819421038996, (18.0, 23.0): 0.00776507234863, (16.0, 15.0): 0.00775786974702, (12.0, 10.0): 0.00821627408339, (15.0, 15.0): 0.0052194335521, (13.0, 11.0): 0.00660518743544, (18.0, 13.0): 0.0065881981014, (18.0, 24.0): 0.00787880007259, (8.0, 11.0): 0.0051915104841, (9.0, 10.0): 0.00854807258787, (19.0, 20.0): 0.00768469155754, (17.0, 4.0): 0.00854649562044, (14.0, 11.0): 0.00663576399114, (18.0, 3.0): 0.0051908653542, (17.0, 9.0): 0.00851494698949, (18.0, 14.0): 0.00699850363487, (8.0, 8.0): 0.00674369216589, (9.0, 5.0): 0.00844674807451, (11.0, 6.0): 0.00809528792319, }, ]
+16 Stop [{(16.0, 6.0): 0.00823156506646, (11.0, 11.0): 0.00669353839869, (17.0, 7.0): 0.00832049480235, (16.0, 9.0): 0.00835595857465, (14.0, 4.0): 0.00822266034438, (13.0, 4.0): 0.00819234000395, (20.0, 20.0): 0.00777449903796, (18.0, 4.0): 0.00686295985509, (18.0, 19.0): 0.00754478842569, (8.0, 5.0): 0.0067998944754, (10.0, 8.0): 0.00823656144981, (11.0, 5.0): 0.00820589576511, (10.0, 7.0): 0.00820158920718, (16.0, 3.0): 0.0067811921327, (12.0, 6.0): 0.0080275102194, (16.0, 22.0): 0.00786288129939, (13.0, 7.0): 0.00795807407305, (18.0, 9.0): 0.00690974404223, (15.0, 4.0): 0.00830657156797, (1, 1): 0.00763358778626, (15.0, 18.0): 0.0051985429293, (9.0, 3.0): 0.00685961527093, (19.0, 24.0): 0.00800448768031, (12.0, 11.0): 0.0066276036834, (13.0, 10.0): 0.00818755775721, (18.0, 10.0): 0.00713587553531, (17.0, 18.0): 0.00765322854497, (9.0, 9.0): 0.00843741010343, (16.0, 18.0): 0.00775009738531, (11.0, 8.0): 0.00811445273531, (14.0, 8.0): 0.0080218719318, (21.0, 24.0): 0.00543260675386, (20.0, 16.0): 0.00774750181094, (17.0, 8.0): 0.00837641797957, (18.0, 15.0): 0.00982477238282, (8.0, 9.0): 0.00679986417617, (9.0, 4.0): 0.00852740191099, (10.0, 3.0): 0.00678174398037, (16.0, 7.0): 0.00819661461343, (11.0, 10.0): 0.00830556923287, (17.0, 6.0): 0.0083492071643, (16.0, 10.0): 0.0085026959504, (14.0, 5.0): 0.00811840492526, (13.0, 3.0): 0.00660696227243, (18.0, 5.0): 0.00679686811135, (17.0, 11.0): 0.00713070609546, (18.0, 16.0): 0.0100087398147, (8.0, 6.0): 0.00673870973612, (10.0, 9.0): 0.00832448535313, (9.0, 7.0): 0.00832069000791, (11.0, 4.0): 0.00830739297391, (10.0, 4.0): 0.00842193210427, (16.0, 4.0): 0.00842053618066, (12.0, 7.0): 0.00799075694402, (11.0, 9.0): 0.00820459973377, (15.0, 10.0): 0.00832967696031, (14.0, 6.0): 0.00802540128701, (13.0, 6.0): 0.00799550927602, (18.0, 6.0): 0.00673604756756, (17.0, 22.0): 0.00778736525258, (15.0, 7.0): 0.00807325105139, (18.0, 21.0): 0.00762594430846, (8.0, 3.0): 0.0051723687063, (10.0, 10.0): 0.00842123796394, (11.0, 3.0): 0.00669524359833, (12.0, 4.0): 0.00822301717483, (15.0, 9.0): 0.00820984404242, (14.0, 3.0): 0.00663047392887, (13.0, 9.0): 0.00808324165753, (12.0, 8.0): 0.00802591821426, (18.0, 11.0): 0.0074926117623, (18.0, 22.0): 0.0102841432369, (9.0, 8.0): 0.00835408347538, (14.0, 9.0): 0.00811445839503, (12.0, 9.0): 0.00811646287132, (17.0, 15.0): 0.00757663450436, (21.0, 20.0): 0.00521293518545, (18.0, 12.0): 0.00611754692467, (15.0, 11.0): 0.00673007950966, (8.0, 10.0): 0.00686472557692, (9.0, 11.0): 0.00685937031981, (12.0, 3.0): 0.00663059111298, (17.0, 5.0): 0.00843379548351, (16.0, 11.0): 0.00689159355957, (14.0, 10.0): 0.00822284370207, (17.0, 10.0): 0.00871918583171, (15.0, 3.0): 0.00669494704891, (18.0, 17.0): 0.00751205543971, (8.0, 7.0): 0.00671400912521, (9.0, 6.0): 0.00835413699411, (11.0, 7.0): 0.00807899064853, (10.0, 5.0): 0.00832493307973, (16.0, 5.0): 0.00832185547605, (20.0, 24.0): 0.00810316918903, (19.0, 16.0): 0.0076406713756, (16.0, 8.0): 0.00824071313985, (14.0, 7.0): 0.00798726057705, (13.0, 5.0): 0.00808799111497, (18.0, 20.0): 0.0101289295861, (18.0, 7.0): 0.00671946316707, (15.0, 6.0): 0.00811107435185, (18.0, 18.0): 0.0100694536546, (8.0, 4.0): 0.00686478471157, (10.0, 11.0): 0.00678102878454, (13.0, 8.0): 0.00799259675368, (10.0, 6.0): 0.00823677346635, (15.0, 22.0): 0.00526720104406, (12.0, 5.0): 0.00811937211212, (17.0, 3.0): 0.00685876905735, (15.0, 8.0): 0.00811036594295, (21.0, 16.0): 0.00519768371515, (18.0, 8.0): 0.00677354485232, (15.0, 5.0): 0.00820385073859, (18.0, 23.0): 0.00778030639001, (16.0, 15.0): 0.00772763902671, (12.0, 10.0): 0.00821934218583, (15.0, 15.0): 0.00519567335839, (13.0, 11.0): 0.00660434687109, (18.0, 13.0): 0.00657334461001, (18.0, 24.0): 0.00788518657557, (8.0, 11.0): 0.0051722978248, (9.0, 10.0): 0.00852718867788, (19.0, 20.0): 0.00768489861655, (17.0, 4.0): 0.0085254690943, (14.0, 11.0): 0.00663605182859, (18.0, 3.0): 0.00517154416948, (17.0, 9.0): 0.0085182986234, (18.0, 14.0): 0.00698761283246, (8.0, 8.0): 0.00673869801946, (9.0, 5.0): 0.00843753498128, (11.0, 6.0): 0.00811510843205, }, ]
+17 Stop [{(16.0, 6.0): 0.00824206333442, (11.0, 11.0): 0.00668665656323, (17.0, 7.0): 0.0083284127037, (16.0, 9.0): 0.00836550206614, (14.0, 4.0): 0.00822561385053, (13.0, 4.0): 0.00819694229573, (20.0, 20.0): 0.00775960014423, (18.0, 4.0): 0.00684389886696, (18.0, 19.0): 0.0075645252854, (8.0, 5.0): 0.00678835422703, (10.0, 8.0): 0.00824623444416, (11.0, 5.0): 0.00821454047258, (10.0, 7.0): 0.00821492095596, (16.0, 3.0): 0.00676783429587, (12.0, 6.0): 0.00804965139672, (16.0, 22.0): 0.00785034937268, (13.0, 7.0): 0.00798483952476, (18.0, 9.0): 0.00690845083214, (15.0, 4.0): 0.00830446052855, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00518263725975, (9.0, 3.0): 0.00683994309712, (19.0, 24.0): 0.00799761448164, (12.0, 11.0): 0.00662524067546, (13.0, 10.0): 0.0081936837783, (18.0, 10.0): 0.0071283950013, (17.0, 18.0): 0.00765180539041, (9.0, 9.0): 0.00842859956601, (16.0, 18.0): 0.00773371344141, (11.0, 8.0): 0.00813210455634, (14.0, 8.0): 0.0080453107201, (21.0, 24.0): 0.00541735977327, (20.0, 16.0): 0.00772823291976, (17.0, 8.0): 0.00838457112211, (18.0, 15.0): 0.00981312716165, (8.0, 9.0): 0.00678830396382, (9.0, 4.0): 0.00850847379493, (10.0, 3.0): 0.00676853713326, (16.0, 7.0): 0.0082125277347, (11.0, 10.0): 0.00830353442295, (17.0, 6.0): 0.00835102439522, (16.0, 10.0): 0.00850440185331, (14.0, 5.0): 0.00813166168204, (13.0, 3.0): 0.00660547482936, (18.0, 5.0): 0.0067857279802, (17.0, 11.0): 0.00712256502067, (18.0, 16.0): 0.0100092869878, (8.0, 6.0): 0.006733980733, (10.0, 9.0): 0.00832485892082, (9.0, 7.0): 0.00832460221822, (11.0, 4.0): 0.00830545850321, (10.0, 4.0): 0.00841176800887, (16.0, 4.0): 0.00841018449697, (12.0, 7.0): 0.00801625001985, (11.0, 9.0): 0.00821311398528, (15.0, 10.0): 0.00833553200845, (14.0, 6.0): 0.00804753008344, (13.0, 6.0): 0.00801889719409, (18.0, 6.0): 0.00673293614436, (17.0, 22.0): 0.00778778465988, (15.0, 7.0): 0.00809571330734, (18.0, 21.0): 0.0076452496419, (8.0, 3.0): 0.00515522289773, (10.0, 10.0): 0.0084109534417, (11.0, 3.0): 0.0066883732677, (12.0, 4.0): 0.00822607223121, (15.0, 9.0): 0.00822406078307, (14.0, 3.0): 0.00662762788143, (13.0, 9.0): 0.00809886348696, (12.0, 8.0): 0.00804803750372, (18.0, 11.0): 0.00747898065649, (18.0, 22.0): 0.0103022411262, (9.0, 8.0): 0.00835442351217, (14.0, 9.0): 0.00813045194577, (12.0, 9.0): 0.00812991293254, (17.0, 15.0): 0.00755761760606, (21.0, 20.0): 0.00519796727204, (18.0, 12.0): 0.0061034501188, (15.0, 11.0): 0.00673036661652, (8.0, 10.0): 0.00684568444878, (9.0, 11.0): 0.0068396367866, (12.0, 3.0): 0.0066278026809, (17.0, 5.0): 0.00842528247147, (16.0, 11.0): 0.00688863398125, (14.0, 10.0): 0.00822992032007, (17.0, 10.0): 0.00871468148879, (15.0, 3.0): 0.00668796759121, (18.0, 17.0): 0.00752356684722, (8.0, 7.0): 0.00671199222178, (9.0, 6.0): 0.00835450452396, (11.0, 7.0): 0.00810017959342, (10.0, 5.0): 0.00832541387935, (16.0, 5.0): 0.00832232058905, (20.0, 24.0): 0.00808552233337, (19.0, 16.0): 0.00763157601585, (16.0, 8.0): 0.00825601405009, (14.0, 7.0): 0.00801317178406, (13.0, 5.0): 0.00810272348646, (18.0, 20.0): 0.0101507761801, (18.0, 7.0): 0.00672136285721, (15.0, 6.0): 0.00812902849906, (18.0, 18.0): 0.0100873875504, (8.0, 4.0): 0.00684577308104, (10.0, 11.0): 0.00676773196855, (13.0, 8.0): 0.00801634052606, (10.0, 6.0): 0.00824650823588, (15.0, 22.0): 0.00525456095516, (12.0, 5.0): 0.00813275727729, (17.0, 3.0): 0.00683893217286, (15.0, 8.0): 0.00813120922168, (21.0, 16.0): 0.00518134246122, (18.0, 8.0): 0.00677597161132, (15.0, 5.0): 0.00821235141194, (18.0, 23.0): 0.00779286679775, (16.0, 15.0): 0.00769926118955, (12.0, 10.0): 0.0082226873303, (15.0, 15.0): 0.00517371635476, (13.0, 11.0): 0.00660451214721, (18.0, 13.0): 0.00655950145571, (18.0, 24.0): 0.00788999354863, (8.0, 11.0): 0.00515512324912, (9.0, 10.0): 0.00850819132323, (19.0, 20.0): 0.00768536494803, (17.0, 4.0): 0.0085063923798, (14.0, 11.0): 0.00663718829275, (18.0, 3.0): 0.0051542802846, (17.0, 9.0): 0.00852140821242, (18.0, 14.0): 0.00697651224319, (8.0, 8.0): 0.00673395952529, (9.0, 5.0): 0.00842877501207, (11.0, 6.0): 0.00813285570629, }, ]
+18 Stop [{(16.0, 6.0): 0.00825139291049, (11.0, 11.0): 0.0066806141864, (17.0, 7.0): 0.00833564790545, (16.0, 9.0): 0.00837427739301, (14.0, 4.0): 0.00822864264173, (13.0, 4.0): 0.00820163908013, (20.0, 20.0): 0.00774730533344, (18.0, 4.0): 0.00682677861595, (18.0, 19.0): 0.0075810493611, (8.0, 5.0): 0.00677778201268, (10.0, 8.0): 0.00825450847789, (11.0, 5.0): 0.00822220516774, (10.0, 7.0): 0.00822648908953, (16.0, 3.0): 0.00675572041438, (12.0, 6.0): 0.00807008231885, (16.0, 22.0): 0.00783999182177, (13.0, 7.0): 0.00800989980977, (18.0, 9.0): 0.00690748600368, (15.0, 4.0): 0.0083025139554, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00516922311035, (9.0, 3.0): 0.00682222244916, (19.0, 24.0): 0.00799104345455, (12.0, 11.0): 0.00662363981253, (13.0, 10.0): 0.00820015901993, (18.0, 10.0): 0.00712189292024, (17.0, 18.0): 0.00765035316488, (9.0, 9.0): 0.0084202906554, (16.0, 18.0): 0.00771982490715, (11.0, 8.0): 0.00814793401658, (14.0, 8.0): 0.00806729683954, (21.0, 24.0): 0.00540385399776, (20.0, 16.0): 0.00771060754248, (17.0, 8.0): 0.00839207412049, (18.0, 15.0): 0.00980031348712, (8.0, 9.0): 0.00677770689767, (9.0, 4.0): 0.00849123240772, (10.0, 3.0): 0.00675656697629, (16.0, 7.0): 0.00822694622605, (11.0, 10.0): 0.00830172197685, (17.0, 6.0): 0.00835259061705, (16.0, 10.0): 0.00850618197865, (14.0, 5.0): 0.00814397610288, (13.0, 3.0): 0.00660461480707, (18.0, 5.0): 0.00677569724217, (17.0, 11.0): 0.00711548121236, (18.0, 16.0): 0.0100073178251, (8.0, 6.0): 0.00672948270025, (10.0, 9.0): 0.00832475207159, (9.0, 7.0): 0.00832768829751, (11.0, 4.0): 0.0083036611601, (10.0, 4.0): 0.00840235712059, (16.0, 4.0): 0.00840063017284, (12.0, 7.0): 0.00803979160769, (11.0, 9.0): 0.00822070496359, (15.0, 10.0): 0.00834137464711, (14.0, 6.0): 0.00806805784854, (13.0, 6.0): 0.0080407283371, (18.0, 6.0): 0.00673021162449, (17.0, 22.0): 0.00778827162575, (15.0, 7.0): 0.00811633010937, (18.0, 21.0): 0.00766167087388, (8.0, 3.0): 0.00513983667712, (10.0, 10.0): 0.00840144061388, (11.0, 3.0): 0.00668226997111, (12.0, 4.0): 0.00822919673171, (15.0, 9.0): 0.00823735120502, (14.0, 3.0): 0.0066253903456, (13.0, 9.0): 0.00811385053393, (12.0, 8.0): 0.0080685291077, (18.0, 11.0): 0.00746696854255, (18.0, 22.0): 0.0103175273147, (9.0, 8.0): 0.00835426182943, (14.0, 9.0): 0.00814572145119, (12.0, 9.0): 0.00814252304776, (17.0, 15.0): 0.00753890805562, (21.0, 20.0): 0.00518551701743, (18.0, 12.0): 0.00609072902229, (15.0, 11.0): 0.00673115362432, (8.0, 10.0): 0.00682850978417, (9.0, 11.0): 0.00682185486981, (12.0, 3.0): 0.00662562714073, (17.0, 5.0): 0.00841743596216, (16.0, 11.0): 0.00688627177527, (14.0, 10.0): 0.00823721468371, (17.0, 10.0): 0.0087108383164, (15.0, 3.0): 0.00668174954784, (18.0, 17.0): 0.0075320242503, (8.0, 7.0): 0.00670990356366, (9.0, 6.0): 0.00835437318128, (11.0, 7.0): 0.00811926216637, (10.0, 5.0): 0.00832540112175, (16.0, 5.0): 0.00832244046077, (20.0, 24.0): 0.00806972549164, (19.0, 16.0): 0.00762225805882, (16.0, 8.0): 0.00826996483894, (14.0, 7.0): 0.00803731308394, (13.0, 5.0): 0.00811659638712, (18.0, 20.0): 0.0101694073368, (18.0, 7.0): 0.00672325019396, (15.0, 6.0): 0.00814533732724, (18.0, 18.0): 0.0101018127286, (8.0, 4.0): 0.00682863421858, (10.0, 11.0): 0.00675569701793, (13.0, 8.0): 0.00803867835232, (10.0, 6.0): 0.00825484066029, (15.0, 22.0): 0.00524406360181, (12.0, 5.0): 0.00814514897285, (17.0, 3.0): 0.00682106352134, (15.0, 8.0): 0.00815046161646, (21.0, 16.0): 0.00516674887053, (18.0, 8.0): 0.00677836054959, (15.0, 5.0): 0.00821996454213, (18.0, 23.0): 0.00780318039702, (16.0, 15.0): 0.00767248444259, (12.0, 10.0): 0.00822627386168, (15.0, 15.0): 0.0051532785739, (13.0, 11.0): 0.00660547203452, (18.0, 13.0): 0.00654648793924, (18.0, 24.0): 0.00789349160934, (8.0, 11.0): 0.00513970472522, (9.0, 10.0): 0.00849087917503, (19.0, 20.0): 0.00768601574244, (17.0, 4.0): 0.0084890796296, (14.0, 11.0): 0.00663900082813, (18.0, 3.0): 0.00513880118816, (17.0, 9.0): 0.00852434528593, (18.0, 14.0): 0.00696528635671, (8.0, 8.0): 0.00672944863016, (9.0, 5.0): 0.00842052199882, (11.0, 6.0): 0.00814874708098, }, ]
+19 Stop [{(16.0, 6.0): 0.00825974150832, (11.0, 11.0): 0.00667533214959, (17.0, 7.0): 0.0083422643223, (16.0, 9.0): 0.00838242414031, (14.0, 4.0): 0.00823170194243, (13.0, 4.0): 0.0082063686699, (20.0, 20.0): 0.00773719886734, (18.0, 4.0): 0.00681136861984, (18.0, 19.0): 0.00759482147006, (8.0, 5.0): 0.00676807913264, (10.0, 8.0): 0.008261589097, (11.0, 5.0): 0.00822903270068, (10.0, 7.0): 0.00823655773832, (16.0, 3.0): 0.00674475940546, (12.0, 6.0): 0.00808889966349, (16.0, 22.0): 0.00783145295007, (13.0, 7.0): 0.00803328223816, (18.0, 9.0): 0.00690680392556, (15.0, 4.0): 0.00830078764938, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00515788652422, (9.0, 3.0): 0.00680622273028, (19.0, 24.0): 0.00798475351851, (12.0, 11.0): 0.0066226862807, (13.0, 10.0): 0.00820686762848, (18.0, 10.0): 0.0071162545299, (17.0, 18.0): 0.00764884587283, (9.0, 9.0): 0.00841246347071, (16.0, 18.0): 0.00770800424585, (11.0, 8.0): 0.00816218774643, (14.0, 8.0): 0.00808789426869, (21.0, 24.0): 0.00539183549609, (20.0, 16.0): 0.0076943296357, (17.0, 8.0): 0.00839899656756, (18.0, 15.0): 0.00978663929882, (8.0, 9.0): 0.00676797445908, (9.0, 4.0): 0.00847553647236, (10.0, 3.0): 0.00674573627326, (16.0, 7.0): 0.00824005639806, (11.0, 10.0): 0.0083001818298, (17.0, 6.0): 0.00835396638515, (16.0, 10.0): 0.00850810241085, (14.0, 5.0): 0.00815544750448, (13.0, 3.0): 0.00660423588938, (18.0, 5.0): 0.00676665906309, (17.0, 11.0): 0.00710934804583, (18.0, 16.0): 0.0100033352644, (8.0, 6.0): 0.0067251667054, (10.0, 9.0): 0.00832433935647, (9.0, 7.0): 0.00833003837046, (11.0, 4.0): 0.0083020515288, (10.0, 4.0): 0.0083936721061, (16.0, 4.0): 0.00839186294732, (12.0, 7.0): 0.00806151300208, (11.0, 9.0): 0.00822752721527, (15.0, 10.0): 0.00834721290898, (14.0, 6.0): 0.00808708253994, (13.0, 6.0): 0.00806107294027, (18.0, 6.0): 0.00672780788856, (17.0, 22.0): 0.00778880297785, (15.0, 7.0): 0.00813527767261, (18.0, 21.0): 0.00767562395418, (8.0, 3.0): 0.00512599305931, (10.0, 10.0): 0.00839268302195, (11.0, 3.0): 0.00667684825405, (12.0, 4.0): 0.00823233597414, (15.0, 9.0): 0.00824983726256, (14.0, 3.0): 0.00662366720347, (13.0, 9.0): 0.00812818648103, (12.0, 8.0): 0.00808749122641, (18.0, 11.0): 0.00745632867622, (18.0, 22.0): 0.0103304227942, (9.0, 8.0): 0.00835371200958, (14.0, 9.0): 0.00816028694268, (12.0, 9.0): 0.00815437630293, (17.0, 15.0): 0.00752054253785, (21.0, 20.0): 0.00517519361986, (18.0, 12.0): 0.00607914778948, (15.0, 11.0): 0.00673238148635, (8.0, 10.0): 0.00681296491387, (9.0, 11.0): 0.00680579871535, (12.0, 3.0): 0.00662396732607, (17.0, 5.0): 0.00841023364446, (16.0, 11.0): 0.00688446304872, (14.0, 10.0): 0.00824464416742, (17.0, 10.0): 0.00870761664935, (15.0, 3.0): 0.00667621786803, (18.0, 17.0): 0.00753795738852, (8.0, 7.0): 0.00670774638302, (9.0, 6.0): 0.00835385550264, (11.0, 7.0): 0.00813644479223, (10.0, 5.0): 0.00832506521384, (16.0, 5.0): 0.00832237280968, (20.0, 24.0): 0.00805551664761, (19.0, 16.0): 0.0076127846567, (16.0, 8.0): 0.00828274483899, (14.0, 7.0): 0.00805977953823, (13.0, 5.0): 0.00812961777602, (18.0, 20.0): 0.0101852638267, (18.0, 7.0): 0.0067250851731, (15.0, 6.0): 0.00816021654755, (18.0, 18.0): 0.0101132621076, (8.0, 4.0): 0.00681312943173, (10.0, 11.0): 0.00674482964131, (13.0, 8.0): 0.00805965092865, (10.0, 6.0): 0.00826197022676, (15.0, 22.0): 0.00523536240816, (12.0, 5.0): 0.00815664591566, (17.0, 3.0): 0.00680494563924, (15.0, 8.0): 0.00816828092187, (21.0, 16.0): 0.00515357694943, (18.0, 8.0): 0.0067806890109, (15.0, 5.0): 0.00822684647768, (18.0, 23.0): 0.0078116058308, (16.0, 15.0): 0.00764710345302, (12.0, 10.0): 0.00823004553438, (15.0, 15.0): 0.00513413410114, (13.0, 11.0): 0.00660705997278, (18.0, 13.0): 0.00653416777275, (18.0, 24.0): 0.00789590515364, (8.0, 11.0): 0.0051258260719, (9.0, 10.0): 0.00847511325236, (19.0, 20.0): 0.00768679219283, (17.0, 4.0): 0.00847338968725, (14.0, 11.0): 0.00664134955848, (18.0, 3.0): 0.00512489426371, (17.0, 9.0): 0.00852717852408, (18.0, 14.0): 0.0069540031371, (8.0, 8.0): 0.00672511713876, (9.0, 5.0): 0.00841275124508, (11.0, 6.0): 0.00816302747885, }, ]
+20 Stop [{(16.0, 6.0): 0.00826727072975, (11.0, 11.0): 0.00667074838386, (17.0, 7.0): 0.00834832802789, (16.0, 9.0): 0.00839005743536, (14.0, 4.0): 0.00823477795411, (13.0, 4.0): 0.00821106384484, (20.0, 20.0): 0.00772892716332, (18.0, 4.0): 0.00679748294608, (18.0, 19.0): 0.00760623864025, (8.0, 5.0): 0.00675914406646, (10.0, 8.0): 0.00826767718956, (11.0, 5.0): 0.00823516456757, (10.0, 7.0): 0.00824532004496, (16.0, 3.0): 0.00673485331765, (12.0, 6.0): 0.00810623180007, (16.0, 22.0): 0.00782443318006, (13.0, 7.0): 0.00805505972948, (18.0, 9.0): 0.00690637257141, (15.0, 4.0): 0.00829929427037, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00514827801073, (9.0, 3.0): 0.00679176139846, (19.0, 24.0): 0.00797872510658, (12.0, 11.0): 0.00662227870764, (13.0, 10.0): 0.00821371375546, (18.0, 10.0): 0.00711137011279, (17.0, 18.0): 0.00764726556646, (9.0, 9.0): 0.00840511923259, (16.0, 18.0): 0.00769789330167, (11.0, 8.0): 0.00817504801547, (14.0, 8.0): 0.00810717852002, (21.0, 24.0): 0.00538108996392, (20.0, 16.0): 0.00767915990551, (17.0, 8.0): 0.00840540910331, (18.0, 15.0): 0.00977234219912, (8.0, 9.0): 0.00675900682207, (9.0, 4.0): 0.00846123000521, (10.0, 3.0): 0.00673593623562, (16.0, 7.0): 0.00825201694806, (11.0, 10.0): 0.00829892055768, (17.0, 6.0): 0.00835519314419, (16.0, 10.0): 0.00851018698408, (14.0, 5.0): 0.00816613924811, (13.0, 3.0): 0.00660424133871, (18.0, 5.0): 0.00675850562176, (17.0, 11.0): 0.00710405827256, (18.0, 16.0): 0.00999774098922, (8.0, 6.0): 0.00672101915579, (10.0, 9.0): 0.00832372043228, (9.0, 7.0): 0.00833176931995, (11.0, 4.0): 0.00830063052546, (10.0, 4.0): 0.00838569913253, (16.0, 4.0): 0.00838387247009, (12.0, 7.0): 0.00808152618448, (11.0, 9.0): 0.00823372249018, (15.0, 10.0): 0.00835305472155, (14.0, 6.0): 0.0081047198141, (13.0, 6.0): 0.00807999103158, (18.0, 6.0): 0.00672568130822, (17.0, 22.0): 0.00778935767453, (15.0, 7.0): 0.00815272221566, (18.0, 21.0): 0.00768746297329, (8.0, 3.0): 0.0051135023936, (10.0, 10.0): 0.00838467090244, (11.0, 3.0): 0.00667204826911, (12.0, 4.0): 0.00823547224922, (15.0, 9.0): 0.00826160843528, (14.0, 3.0): 0.00662237062871, (13.0, 9.0): 0.00814187365675, (12.0, 8.0): 0.0081050438413, (18.0, 11.0): 0.00744686540948, (18.0, 22.0): 0.0103412832862, (9.0, 8.0): 0.00835283987424, (14.0, 9.0): 0.00817416982447, (12.0, 9.0): 0.008165525352, (17.0, 15.0): 0.00750254182166, (21.0, 20.0): 0.00516666309905, (18.0, 12.0): 0.0060685206898, (15.0, 11.0): 0.00673399110519, (8.0, 10.0): 0.00679886618434, (9.0, 11.0): 0.00679128843027, (12.0, 3.0): 0.0066227300622, (17.0, 5.0): 0.00840365727108, (16.0, 11.0): 0.0068831686274, (14.0, 10.0): 0.00825213971913, (17.0, 10.0): 0.00870498016079, (15.0, 3.0): 0.00667131864912, (18.0, 17.0): 0.00754180180584, (8.0, 7.0): 0.00670551523089, (9.0, 6.0): 0.00835301474534, (11.0, 7.0): 0.00815194615158, (10.0, 5.0): 0.0083244982985, (16.0, 5.0): 0.00832221147749, (20.0, 24.0): 0.00804267447009, (19.0, 16.0): 0.0076032052469, (16.0, 8.0): 0.00829450057336, (14.0, 7.0): 0.00808066325153, (13.0, 5.0): 0.00814183056127, (18.0, 20.0): 0.0101987284957, (18.0, 7.0): 0.0067268483826, (15.0, 6.0): 0.00817383294922, (18.0, 18.0): 0.0101221904374, (8.0, 4.0): 0.00679907378867, (10.0, 11.0): 0.00673502673095, (13.0, 8.0): 0.00807930102859, (10.0, 6.0): 0.00826809523208, (15.0, 22.0): 0.00522816552077, (12.0, 5.0): 0.008167306406, (17.0, 3.0): 0.00679040228653, (15.0, 8.0): 0.00818480699294, (21.0, 16.0): 0.00514156501995, (18.0, 8.0): 0.0067829438409, (15.0, 5.0): 0.00823313419775, (18.0, 23.0): 0.00781844269337, (16.0, 15.0): 0.00762294904753, (12.0, 10.0): 0.00823396582929, (15.0, 15.0): 0.00511610153491, (13.0, 11.0): 0.00660914747869, (18.0, 13.0): 0.00652243956644, (18.0, 24.0): 0.00789742150098, (8.0, 11.0): 0.00511329959794, (9.0, 10.0): 0.00846074285631, (19.0, 20.0): 0.00768764631006, (17.0, 4.0): 0.00845917582057, (14.0, 11.0): 0.00664412658789, (18.0, 3.0): 0.00511237665267, (17.0, 9.0): 0.00852994415765, (18.0, 14.0): 0.00694271679465, (8.0, 8.0): 0.00672095189713, (9.0, 5.0): 0.00840546146994, (11.0, 6.0): 0.0081758749724, }, ]
+21 Stop [{(16.0, 6.0): 0.00827410504974, (11.0, 11.0): 0.00666679756715, (17.0, 7.0): 0.00835390154034, (16.0, 9.0): 0.00839725951714, (14.0, 4.0): 0.00823784772066, (13.0, 4.0): 0.00821568925656, (20.0, 20.0): 0.00772218937398, (18.0, 4.0): 0.00678495785697, (18.0, 19.0): 0.00761564261335, (8.0, 5.0): 0.00675090154672, (10.0, 8.0): 0.0082729211113, (11.0, 5.0): 0.00824069495398, (10.0, 7.0): 0.00825296158763, (16.0, 3.0): 0.00672591805734, (12.0, 6.0): 0.0081221860789, (16.0, 22.0): 0.00781867971192, (13.0, 7.0): 0.00807530824513, (18.0, 9.0): 0.00690616046281, (15.0, 4.0): 0.00829804544074, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00514010343926, (9.0, 3.0): 0.00677867120743, (19.0, 24.0): 0.00797294035922, (12.0, 11.0): 0.00662233680841, (13.0, 10.0): 0.0082206254618, (18.0, 10.0): 0.00710714805558, (17.0, 18.0): 0.00764560056539, (9.0, 9.0): 0.0083982361846, (16.0, 18.0): 0.00768919196141, (11.0, 8.0): 0.00818668753762, (14.0, 8.0): 0.00812522392351, (21.0, 24.0): 0.00537143647199, (20.0, 16.0): 0.00766490422744, (17.0, 8.0): 0.00841137233267, (18.0, 15.0): 0.00975760700252, (8.0, 9.0): 0.0067507300724, (9.0, 4.0): 0.00844818691832, (10.0, 3.0): 0.0067270763023, (16.0, 7.0): 0.00826296769894, (11.0, 10.0): 0.00829794305188, (17.0, 6.0): 0.00835631016164, (16.0, 10.0): 0.0085124480172, (14.0, 5.0): 0.00817612035507, (13.0, 3.0): 0.00660454827637, (18.0, 5.0): 0.00675114892323, (17.0, 11.0): 0.00709951910952, (18.0, 16.0): 0.00999085648133, (8.0, 6.0): 0.00671702256235, (10.0, 9.0): 0.00832298204941, (9.0, 7.0): 0.00833296760462, (11.0, 4.0): 0.00829940536223, (10.0, 4.0): 0.00837839565124, (16.0, 4.0): 0.00837662413712, (12.0, 7.0): 0.00809996154138, (11.0, 9.0): 0.00823938736952, (15.0, 10.0): 0.0083588957483, (14.0, 6.0): 0.00812106925891, (13.0, 6.0): 0.0080975665873, (18.0, 6.0): 0.00672379745698, (17.0, 22.0): 0.00778991777307, (15.0, 7.0): 0.00816880847148, (18.0, 21.0): 0.00769749060323, (8.0, 3.0): 0.00510220959465, (10.0, 10.0): 0.00837736763248, (11.0, 3.0): 0.00666780474682, (12.0, 4.0): 0.00823857712065, (15.0, 9.0): 0.00827273948192, (14.0, 3.0): 0.00662143824495, (13.0, 9.0): 0.00815491672346, (12.0, 8.0): 0.00812128888437, (18.0, 11.0): 0.00743841367864, (18.0, 22.0): 0.0103504086019, (9.0, 8.0): 0.00835171909755, (14.0, 9.0): 0.00818739403113, (12.0, 9.0): 0.00817602623391, (17.0, 15.0): 0.00748491583951, (21.0, 20.0): 0.00515964060396, (18.0, 12.0): 0.00605870310445, (15.0, 11.0): 0.00673593252443, (8.0, 10.0): 0.00678605002218, (9.0, 11.0): 0.00677816056088, (12.0, 3.0): 0.00662184936735, (17.0, 5.0): 0.00839767394811, (16.0, 11.0): 0.0068823418981, (14.0, 10.0): 0.0082596472511, (17.0, 10.0): 0.00870287935684, (15.0, 3.0): 0.00666699450294, (18.0, 17.0): 0.00754391679193, (8.0, 7.0): 0.00670322543494, (9.0, 6.0): 0.00835192294241, (11.0, 7.0): 0.00816594307378, (10.0, 5.0): 0.00832378374012, (16.0, 5.0): 0.00832202922923, (20.0, 24.0): 0.00803101150752, (19.0, 16.0): 0.00759355696478, (16.0, 8.0): 0.00830535821061, (14.0, 7.0): 0.00810006870616, (13.0, 5.0): 0.00815326621836, (18.0, 20.0): 0.0102101314318, (18.0, 7.0): 0.00672853398851, (15.0, 6.0): 0.0081863359813, (18.0, 18.0): 0.0101289829469, (8.0, 4.0): 0.00678630126269, (10.0, 11.0): 0.00672620006676, (13.0, 8.0): 0.00809769135523, (10.0, 6.0): 0.00827336065866, (15.0, 22.0): 0.00522222715374, (12.0, 5.0): 0.00817720111682, (17.0, 3.0): 0.00677727461605, (15.0, 8.0): 0.00820016334745, (21.0, 16.0): 0.00513050247848, (18.0, 8.0): 0.00678512301939, (15.0, 5.0): 0.00823892242859, (18.0, 23.0): 0.00782394221966, (16.0, 15.0): 0.00759988105718, (12.0, 10.0): 0.0082379947758, (15.0, 15.0): 0.0050990337833, (13.0, 11.0): 0.00661163094465, (18.0, 13.0): 0.00651122568363, (18.0, 24.0): 0.00789819643365, (8.0, 11.0): 0.00510197185297, (9.0, 10.0): 0.00844764525192, (19.0, 20.0): 0.00768853994838, (17.0, 4.0): 0.0084463124205, (14.0, 11.0): 0.00664724423677, (18.0, 3.0): 0.00510109685904, (17.0, 9.0): 0.00853267131427, (18.0, 14.0): 0.00693147100348, (8.0, 8.0): 0.00671693646237, (9.0, 5.0): 0.00839862692041, (11.0, 6.0): 0.00818746254474, }, ]
+22 Stop [{(16.0, 6.0): 0.00828034962417, (11.0, 11.0): 0.00666342222096, (17.0, 7.0): 0.00835904384384, (16.0, 9.0): 0.00840409530823, (14.0, 4.0): 0.00824090011585, (13.0, 4.0): 0.00822021313234, (20.0, 20.0): 0.0077167300761, (18.0, 4.0): 0.00677365479883, (18.0, 19.0): 0.00762332613244, (8.0, 5.0): 0.00674328172702, (10.0, 8.0): 0.0082774542767, (11.0, 5.0): 0.00824570954358, (10.0, 7.0): 0.0082596308072, (16.0, 3.0): 0.00671787162151, (12.0, 6.0): 0.00813687557383, (16.0, 22.0): 0.0078139794052, (13.0, 7.0): 0.00809411928704, (18.0, 9.0): 0.0069061421473, (15.0, 4.0): 0.00829703657116, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00513311570676, (9.0, 3.0): 0.00676681079265, (19.0, 24.0): 0.00796738276679, (12.0, 11.0): 0.00662279028521, (13.0, 10.0): 0.00822754457859, (18.0, 10.0): 0.00710350642062, (17.0, 18.0): 0.00764384324565, (9.0, 9.0): 0.0083917990348, (16.0, 18.0): 0.00768164922856, (11.0, 8.0): 0.00819724559532, (14.0, 8.0): 0.0081421082727, (21.0, 24.0): 0.00536272207183, (20.0, 16.0): 0.00765140496998, (17.0, 8.0): 0.00841694143443, (18.0, 15.0): 0.00974257815196, (8.0, 9.0): 0.00674307637616, (9.0, 4.0): 0.00843628501553, (10.0, 3.0): 0.00671906719439, (16.0, 7.0): 0.00827302819422, (11.0, 10.0): 0.00829723795772, (17.0, 6.0): 0.00835734750421, (16.0, 10.0): 0.00851488200242, (14.0, 5.0): 0.00818544519632, (13.0, 3.0): 0.00660509682348, (18.0, 5.0): 0.00674451084892, (17.0, 11.0): 0.00709564454293, (18.0, 16.0): 0.00998294045653, (8.0, 6.0): 0.00671317197449, (10.0, 9.0): 0.00832217886946, (9.0, 7.0): 0.00833372060518, (11.0, 4.0): 0.00829836580433, (10.0, 4.0): 0.00837172340996, (16.0, 4.0): 0.00837008175985, (12.0, 7.0): 0.00811693756471, (11.0, 9.0): 0.00824460524847, (15.0, 10.0): 0.00836472923081, (14.0, 6.0): 0.00813623217774, (13.0, 6.0): 0.00811387927772, (18.0, 6.0): 0.00672213212451, (17.0, 22.0): 0.00779046797881, (15.0, 7.0): 0.00818366884107, (18.0, 21.0): 0.00770596520951, (8.0, 3.0): 0.00509197964908, (10.0, 10.0): 0.00837073761383, (11.0, 3.0): 0.00666406367656, (12.0, 4.0): 0.00824163691309, (15.0, 9.0): 0.00828329042519, (14.0, 3.0): 0.0066208148002, (13.0, 9.0): 0.0081673307611, (12.0, 8.0): 0.0081363311105, (18.0, 11.0): 0.00743083791242, (18.0, 22.0): 0.0103580523491, (9.0, 8.0): 0.00835040291521, (14.0, 9.0): 0.00819998428222, (12.0, 9.0): 0.00818592279741, (17.0, 15.0): 0.00746766738286, (21.0, 20.0): 0.00515388342664, (18.0, 12.0): 0.00604957968235, (15.0, 11.0): 0.00673815881448, (8.0, 10.0): 0.00677438135835, (9.0, 11.0): 0.00676627649162, (12.0, 3.0): 0.00662126602177, (17.0, 5.0): 0.0083922523827, (16.0, 11.0): 0.00688193798645, (14.0, 10.0): 0.00826712355766, (17.0, 10.0): 0.00870126652894, (15.0, 3.0): 0.00666319678946, (18.0, 17.0): 0.00754459878769, (8.0, 7.0): 0.00670088963584, (9.0, 6.0): 0.00835063126581, (11.0, 7.0): 0.00817860325703, (10.0, 5.0): 0.00832297238488, (16.0, 5.0): 0.00832187095856, (20.0, 24.0): 0.00802036885824, (19.0, 16.0): 0.00758386785107, (16.0, 8.0): 0.00831542422136, (14.0, 7.0): 0.00811809572104, (13.0, 5.0): 0.00816396870682, (18.0, 20.0): 0.0102197572463, (18.0, 7.0): 0.00673014392429, (15.0, 6.0): 0.008197848238, (18.0, 18.0): 0.0101339657269, (8.0, 4.0): 0.00677467461757, (10.0, 11.0): 0.00671826307519, (13.0, 8.0): 0.00811488582634, (10.0, 6.0): 0.00827789829471, (15.0, 22.0): 0.00521734014751, (12.0, 5.0): 0.00818638509775, (17.0, 3.0): 0.00676542627213, (15.0, 8.0): 0.00821445868699, (21.0, 16.0): 0.00512021931505, (18.0, 8.0): 0.00678722883421, (15.0, 5.0): 0.00824429068699, (18.0, 23.0): 0.00782831503492, (16.0, 15.0): 0.00757778252388, (12.0, 10.0): 0.00824210210678, (15.0, 15.0): 0.00508281057738, (13.0, 11.0): 0.00661442808981, (18.0, 13.0): 0.00650046659719, (18.0, 24.0): 0.00789835967084, (8.0, 11.0): 0.00509170993009, (9.0, 10.0): 0.00843570245957, (19.0, 20.0): 0.00768944263207, (17.0, 4.0): 0.0084346802194, (14.0, 11.0): 0.00665063137668, (18.0, 3.0): 0.00509092373794, (17.0, 9.0): 0.00853537661989, (18.0, 14.0): 0.00692030064633, (8.0, 8.0): 0.00671306681194, (9.0, 5.0): 0.00839222949093, (11.0, 6.0): 0.00819792946201, }, ]
+23 Stop [{(16.0, 6.0): 0.00828608890383, (11.0, 11.0): 0.00666056648688, (17.0, 7.0): 0.00836380817641, (16.0, 9.0): 0.00841061371542, (14.0, 4.0): 0.00824392270318, (13.0, 4.0): 0.00822461797949, (20.0, 20.0): 0.00771233261605, (18.0, 4.0): 0.00676345203513, (18.0, 19.0): 0.00762953945411, (8.0, 5.0): 0.00673622797796, (10.0, 8.0): 0.00828138249278, (11.0, 5.0): 0.00825027245851, (10.0, 7.0): 0.00826546144816, (16.0, 3.0): 0.00671064002274, (12.0, 6.0): 0.0081504013952, (16.0, 22.0): 0.00781015253509, (13.0, 7.0): 0.00811158353537, (18.0, 9.0): 0.00690629467451, (15.0, 4.0): 0.00829626102413, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00512710759624, (9.0, 3.0): 0.00675605304956, (19.0, 24.0): 0.00796203709862, (12.0, 11.0): 0.00662358057035, (13.0, 10.0): 0.00823442722328, (18.0, 10.0): 0.00710037492587, (17.0, 18.0): 0.00764198892314, (9.0, 9.0): 0.00838578574985, (16.0, 18.0): 0.00767505534478, (11.0, 8.0): 0.0082068478976, (14.0, 8.0): 0.00815790655786, (21.0, 24.0): 0.005354817322, (20.0, 16.0): 0.00763853393121, (17.0, 8.0): 0.00842216443246, (18.0, 15.0): 0.00972736899519, (8.0, 9.0): 0.00673599094357, (9.0, 4.0): 0.00842541893584, (10.0, 3.0): 0.00671183009789, (16.0, 7.0): 0.00828230294493, (11.0, 10.0): 0.0082967921406, (17.0, 6.0): 0.00835833170211, (16.0, 10.0): 0.00851747911069, (14.0, 5.0): 0.00819416737674, (13.0, 3.0): 0.00660583703783, (18.0, 5.0): 0.0067385249196, (17.0, 11.0): 0.00709235841624, (18.0, 16.0): 0.00997420186504, (8.0, 6.0): 0.0067094620875, (10.0, 9.0): 0.00832135500865, (9.0, 7.0): 0.00833409952764, (11.0, 4.0): 0.00829750305333, (10.0, 4.0): 0.00836563612154, (16.0, 4.0): 0.00836420180717, (12.0, 7.0): 0.00813257335862, (11.0, 9.0): 0.00824943809368, (15.0, 10.0): 0.00837054474684, (14.0, 6.0): 0.00815030012216, (13.0, 6.0): 0.00812901500463, (18.0, 6.0): 0.00672066622527, (17.0, 22.0): 0.00779099554862, (15.0, 7.0): 0.00819741993626, (18.0, 21.0): 0.00771310746869, (8.0, 3.0): 0.00508269790225, (10.0, 10.0): 0.00836473714892, (11.0, 3.0): 0.00666077238405, (12.0, 4.0): 0.00824463669494, (15.0, 9.0): 0.00829331158669, (14.0, 3.0): 0.00662045712645, (13.0, 9.0): 0.00817913364913, (12.0, 8.0): 0.00815026457886, (18.0, 11.0): 0.00742402377978, (18.0, 22.0): 0.0103644291617, (9.0, 8.0): 0.00834894206936, (14.0, 9.0): 0.00821196745977, (12.0, 9.0): 0.00819525840485, (17.0, 15.0): 0.0074507945069, (21.0, 20.0): 0.00514918507202, (18.0, 12.0): 0.00604105823795, (15.0, 11.0): 0.00674062789057, (8.0, 10.0): 0.0067637415689, (9.0, 11.0): 0.00675551202698, (12.0, 3.0): 0.00662093401307, (17.0, 5.0): 0.0083873579252, (16.0, 11.0): 0.00688191173645, (14.0, 10.0): 0.00827453417403, (17.0, 10.0): 0.00870009277114, (15.0, 3.0): 0.00665987811702, (18.0, 17.0): 0.00754409280843, (8.0, 7.0): 0.0066985262266, (9.0, 6.0): 0.00834918892495, (11.0, 7.0): 0.00819006933725, (10.0, 5.0): 0.00832210662481, (16.0, 5.0): 0.00832176908245, (20.0, 24.0): 0.00801061157759, (19.0, 16.0): 0.00757415938782, (16.0, 8.0): 0.00832478956905, (14.0, 7.0): 0.00813484485992, (13.0, 5.0): 0.00817397828219, (18.0, 20.0): 0.0102278506362, (18.0, 7.0): 0.00673168498952, (15.0, 6.0): 0.00820847791359, (18.0, 18.0): 0.0101374141537, (8.0, 4.0): 0.00676407263895, (10.0, 11.0): 0.00671113796971, (13.0, 8.0): 0.00813095505154, (10.0, 6.0): 0.00828181244292, (15.0, 22.0): 0.00521332987549, (12.0, 5.0): 0.00819491516701, (17.0, 3.0): 0.0067547350966, (15.0, 8.0): 0.00822779008946, (21.0, 16.0): 0.00511057798085, (18.0, 8.0): 0.00678926701333, (15.0, 5.0): 0.0082492983302, (18.0, 23.0): 0.0078317379892, (16.0, 15.0): 0.0075565552576, (12.0, 10.0): 0.0082462590594, (15.0, 15.0): 0.00506733279665, (13.0, 11.0): 0.00661747135364, (18.0, 13.0): 0.00649011564196, (18.0, 24.0): 0.00789801915752, (8.0, 11.0): 0.00508240110585, (9.0, 10.0): 0.00842481228413, (19.0, 20.0): 0.00769033021429, (17.0, 4.0): 0.00842417314013, (14.0, 11.0): 0.00665422928178, (18.0, 3.0): 0.00508174484705, (17.0, 9.0): 0.00853807151512, (18.0, 14.0): 0.00690923361916, (8.0, 8.0): 0.00670933878903, (9.0, 5.0): 0.00838624406319, (11.0, 6.0): 0.00820740322623, }, ]
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+28 Stop [{(16.0, 6.0): 0.0083093228017, (11.0, 11.0): 0.00665243108263, (17.0, 7.0): 0.00838346105257, (16.0, 9.0): 0.0084395353925, (14.0, 4.0): 0.00825837182319, (13.0, 4.0): 0.008244566844, (20.0, 20.0): 0.00770075458869, (18.0, 4.0): 0.00672563927861, (18.0, 19.0): 0.00764500566671, (8.0, 5.0): 0.00670789111588, (10.0, 8.0): 0.0082946903069, (11.0, 5.0): 0.00826798127577, (10.0, 7.0): 0.00828547205306, (16.0, 3.0): 0.0066844600799, (12.0, 6.0): 0.00820374473138, (16.0, 22.0): 0.00779958014661, (13.0, 7.0): 0.00818185103991, (18.0, 9.0): 0.00690900928907, (15.0, 4.0): 0.00829541214975, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00510659202339, (9.0, 3.0): 0.00671532142558, (19.0, 24.0): 0.00793803096305, (12.0, 11.0): 0.00663101748761, (13.0, 10.0): 0.00826733422655, (18.0, 10.0): 0.00709046982912, (17.0, 18.0): 0.0076312144023, (9.0, 9.0): 0.00836137689572, (16.0, 18.0): 0.00765111498635, (11.0, 8.0): 0.00824382278365, (14.0, 8.0): 0.00822307416454, (21.0, 24.0): 0.00532412701379, (20.0, 16.0): 0.00758055665432, (17.0, 8.0): 0.00844438309289, (18.0, 15.0): 0.00965115856717, (8.0, 9.0): 0.00670759366976, (9.0, 4.0): 0.00838355936441, (10.0, 3.0): 0.00668487294502, (16.0, 7.0): 0.00831966414616, (11.0, 10.0): 0.00829778237136, (17.0, 6.0): 0.00836308254134, (16.0, 10.0): 0.00853231823777, (14.0, 5.0): 0.00823025929212, (13.0, 3.0): 0.00661129102275, (18.0, 5.0): 0.00671655017823, (17.0, 11.0): 0.00708259769427, (18.0, 16.0): 0.00992311523443, (8.0, 6.0): 0.00669299535928, (10.0, 9.0): 0.00831771640718, (9.0, 7.0): 0.00833237430182, (11.0, 4.0): 0.00829535043859, (10.0, 4.0): 0.00834248704725, (16.0, 4.0): 0.00834323098842, (12.0, 7.0): 0.00819425829789, (11.0, 9.0): 0.00826934705236, (15.0, 10.0): 0.00839895068113, (14.0, 6.0): 0.00820706782472, (13.0, 6.0): 0.00818982419382, (18.0, 6.0): 0.00671590323505, (17.0, 22.0): 0.00779299050811, (15.0, 7.0): 0.00825285386723, (18.0, 21.0): 0.00773454160327, (8.0, 3.0): 0.00504741478713, (10.0, 10.0): 0.00834270038629, (11.0, 3.0): 0.00664957674002, (12.0, 4.0): 0.00825850145885, (15.0, 9.0): 0.00833677532403, (14.0, 3.0): 0.00662152928163, (13.0, 9.0): 0.00822983749522, (12.0, 8.0): 0.00820622948934, (18.0, 11.0): 0.00739847656665, (18.0, 22.0): 0.0103827954451, (9.0, 8.0): 0.00834069575029, (14.0, 9.0): 0.00826373733991, (12.0, 9.0): 0.00823476710794, (17.0, 15.0): 0.00737183234833, (21.0, 20.0): 0.00513628650575, (18.0, 12.0): 0.00600527694154, (15.0, 11.0): 0.00675538851763, (8.0, 10.0): 0.00672282907849, (9.0, 11.0): 0.00671506899915, (12.0, 3.0): 0.00662185199792, (17.0, 5.0): 0.00836966929306, (16.0, 11.0): 0.00688603573782, (14.0, 10.0): 0.00830983386226, (17.0, 10.0): 0.00869929661376, (15.0, 3.0): 0.00664908502389, (18.0, 17.0): 0.00752974565398, (8.0, 7.0): 0.006686855173, (9.0, 6.0): 0.00834090214095, (11.0, 7.0): 0.00823351837381, (10.0, 5.0): 0.00831773483193, (16.0, 5.0): 0.00832257804435, (20.0, 24.0): 0.00797162961461, (19.0, 16.0): 0.0075258036408, (16.0, 8.0): 0.00836348435485, (14.0, 7.0): 0.00820258154658, (13.0, 5.0): 0.00821511228073, (18.0, 20.0): 0.0102517175657, (18.0, 7.0): 0.00673868929647, (15.0, 6.0): 0.00825124721726, (18.0, 18.0): 0.0101386126156, (8.0, 4.0): 0.00672320574078, (10.0, 11.0): 0.00668533870659, (13.0, 8.0): 0.00819683077531, (10.0, 6.0): 0.00829476270634, (15.0, 22.0): 0.00520201423336, (12.0, 5.0): 0.00822939842165, (17.0, 3.0): 0.00671523119854, (15.0, 8.0): 0.00828270511853, (21.0, 16.0): 0.00506875083934, (18.0, 8.0): 0.00679869491257, (15.0, 5.0): 0.00827035840918, (18.0, 23.0): 0.00783905453812, (16.0, 15.0): 0.00746097772565, (12.0, 10.0): 0.00826707866893, (15.0, 15.0): 0.00499866686588, (13.0, 11.0): 0.00663474778239, (18.0, 13.0): 0.00644340144226, (18.0, 24.0): 0.00789142804661, (8.0, 11.0): 0.00504712086769, (9.0, 10.0): 0.00838317423961, (19.0, 20.0): 0.00769400045957, (17.0, 4.0): 0.00838539623721, (14.0, 11.0): 0.0066739137823, (18.0, 3.0): 0.0050477039463, (17.0, 9.0): 0.00855151654796, (18.0, 14.0): 0.00685607114256, (8.0, 8.0): 0.00669283090078, (9.0, 5.0): 0.00836172438756, (11.0, 6.0): 0.00824325538906, }, ]
+29 Stop [{(16.0, 6.0): 0.00831317895016, (11.0, 11.0): 0.00665175329348, (17.0, 7.0): 0.00838679049071, (16.0, 9.0): 0.00844472597142, (14.0, 4.0): 0.00826110434222, (13.0, 4.0): 0.00824813323704, (20.0, 20.0): 0.00769972826896, (18.0, 4.0): 0.00672019459375, (18.0, 19.0): 0.00764591776755, (8.0, 5.0): 0.0067033679315, (10.0, 8.0): 0.00829647946022, (11.0, 5.0): 0.0082707440714, (10.0, 7.0): 0.00828816354839, (16.0, 3.0): 0.00668084027327, (12.0, 6.0): 0.00821209620676, (16.0, 22.0): 0.00779853066825, (13.0, 7.0): 0.0081930691707, (18.0, 9.0): 0.00690984681728, (15.0, 4.0): 0.00829574593008, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00510366767381, (9.0, 3.0): 0.00670923206124, (19.0, 24.0): 0.00793369620809, (12.0, 11.0): 0.00663296482194, (13.0, 10.0): 0.00827350379619, (18.0, 10.0): 0.00708934824396, (17.0, 18.0): 0.00762876295011, (9.0, 9.0): 0.008357491076, (16.0, 18.0): 0.00764740580791, (11.0, 8.0): 0.00824952160121, (14.0, 8.0): 0.00823378578897, (21.0, 24.0): 0.00531927337843, (20.0, 16.0): 0.00756982885138, (17.0, 8.0): 0.0084482427378, (18.0, 15.0): 0.00963620294736, (8.0, 9.0): 0.0067030887914, (9.0, 4.0): 0.00837718595143, (10.0, 3.0): 0.00668094018711, (16.0, 7.0): 0.0083257572445, (11.0, 10.0): 0.00829848946645, (17.0, 6.0): 0.00836408294649, (16.0, 10.0): 0.00853552911949, (14.0, 5.0): 0.00823623392599, (13.0, 3.0): 0.00661258144438, (18.0, 5.0): 0.00671345703158, (17.0, 11.0): 0.00708163682244, (18.0, 16.0): 0.00991208488199, (8.0, 6.0): 0.00669011584023, (10.0, 9.0): 0.00831716620969, (9.0, 7.0): 0.00833160264247, (11.0, 4.0): 0.0082952582291, (10.0, 4.0): 0.00833904457269, (16.0, 4.0): 0.00834043850392, (12.0, 7.0): 0.00820392038646, (11.0, 9.0): 0.0082726871445, (15.0, 10.0): 0.00840442275044, (14.0, 6.0): 0.0082161960149, (13.0, 6.0): 0.00819952001411, (18.0, 6.0): 0.0067154021857, (17.0, 22.0): 0.00779322241284, (15.0, 7.0): 0.00826181037915, (18.0, 21.0): 0.0077368087871, (8.0, 3.0): 0.0050421033873, (10.0, 10.0): 0.00833960935754, (11.0, 3.0): 0.00664814550846, (12.0, 4.0): 0.0082610264321, (15.0, 9.0): 0.00834434077122, (14.0, 3.0): 0.00662215069671, (13.0, 9.0): 0.00823850138899, (12.0, 8.0): 0.00821518169083, (18.0, 11.0): 0.00739464500302, (18.0, 22.0): 0.0103845610778, (9.0, 8.0): 0.00833903517614, (14.0, 9.0): 0.00827265163719, (12.0, 9.0): 0.00824145196276, (17.0, 15.0): 0.00735705966645, (21.0, 20.0): 0.0051350614491, (18.0, 12.0): 0.00599917860293, (15.0, 11.0): 0.00675862464566, (8.0, 10.0): 0.00671661415754, (9.0, 11.0): 0.00670911039692, (12.0, 3.0): 0.00662238023194, (17.0, 5.0): 0.00836728276775, (16.0, 11.0): 0.00688746913498, (14.0, 10.0): 0.00831644966755, (17.0, 10.0): 0.00869989316074, (15.0, 3.0): 0.00664785102631, (18.0, 17.0): 0.0075253471805, (8.0, 7.0): 0.00668464521863, (9.0, 6.0): 0.00833920154715, (11.0, 7.0): 0.00824006537949, (10.0, 5.0): 0.00831693804977, (16.0, 5.0): 0.00832303190734, (20.0, 24.0): 0.00796528369945, (19.0, 16.0): 0.00751623224031, (16.0, 8.0): 0.00836995442099, (14.0, 7.0): 0.0082134856886, (13.0, 5.0): 0.00822183220646, (18.0, 20.0): 0.0102541119679, (18.0, 7.0): 0.00674001407154, (15.0, 6.0): 0.00825817002402, (18.0, 18.0): 0.0101366417282, (8.0, 4.0): 0.00671695768276, (10.0, 11.0): 0.00668174977435, (13.0, 8.0): 0.00820756459286, (10.0, 6.0): 0.00829642542427, (15.0, 22.0): 0.00520086716555, (12.0, 5.0): 0.00823494763368, (17.0, 3.0): 0.00670957004915, (15.0, 8.0): 0.00829177856584, (21.0, 16.0): 0.00506122763778, (18.0, 8.0): 0.00680047499311, (15.0, 5.0): 0.00827397102253, (18.0, 23.0): 0.00783919305618, (16.0, 15.0): 0.0074436034576, (12.0, 10.0): 0.00827114684686, (15.0, 15.0): 0.00498632600816, (13.0, 11.0): 0.00663838660838, (18.0, 13.0): 0.00643491650879, (18.0, 24.0): 0.00788950451593, (8.0, 11.0): 0.00504184814197, (9.0, 10.0): 0.00837692482373, (19.0, 20.0): 0.0076945144075, (17.0, 4.0): 0.00837987692302, (14.0, 11.0): 0.00667797929303, (18.0, 3.0): 0.00504278560139, (17.0, 9.0): 0.00855419865169, (18.0, 14.0): 0.00684594717006, (8.0, 8.0): 0.00668995908594, (9.0, 5.0): 0.00835775692394, (11.0, 6.0): 0.00824865249527, }, ]
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+500 Stop [{(16.0, 6.0): 0.00876445201575, (11.0, 11.0): 0.00698371493208, (17.0, 7.0): 0.00879450296518, (16.0, 9.0): 0.00883001960146, (14.0, 4.0): 0.00872746519602, (13.0, 4.0): 0.00871879628975, (20.0, 20.0): 0.00653454437334, (18.0, 4.0): 0.00700218815395, (18.0, 19.0): 0.00642788389842, (8.0, 5.0): 0.00695549862995, (10.0, 8.0): 0.00871012204481, (11.0, 5.0): 0.00870606742946, (10.0, 7.0): 0.00870637688347, (16.0, 3.0): 0.0069918126749, (12.0, 6.0): 0.00871861244245, (16.0, 22.0): 0.00665126238411, (13.0, 7.0): 0.00873713108098, (18.0, 9.0): 0.00710505635403, (15.0, 4.0): 0.00873597888161, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00424286785494, (9.0, 3.0): 0.00695526073274, (19.0, 24.0): 0.00669479610903, (12.0, 11.0): 0.00699635095758, (13.0, 10.0): 0.00876200277989, (18.0, 10.0): 0.00716089511618, (17.0, 18.0): 0.00635315604175, (9.0, 9.0): 0.00870730246862, (16.0, 18.0): 0.00636111244733, (11.0, 8.0): 0.00871900247567, (14.0, 8.0): 0.00876362452976, (21.0, 24.0): 0.00447325180343, (20.0, 16.0): 0.00613957536875, (17.0, 8.0): 0.0088226231689, (18.0, 15.0): 0.00799846039055, (8.0, 9.0): 0.00696355294227, (9.0, 4.0): 0.0086945734827, (10.0, 3.0): 0.00695799849289, (16.0, 7.0): 0.00878186326486, (11.0, 10.0): 0.00872733123851, (17.0, 6.0): 0.00877354455152, (16.0, 10.0): 0.00885744833637, (14.0, 5.0): 0.00873287512279, (13.0, 3.0): 0.00697354612799, (18.0, 5.0): 0.00701022965144, (17.0, 11.0): 0.00716022230832, (18.0, 16.0): 0.00816500000226, (8.0, 6.0): 0.00695717347173, (10.0, 9.0): 0.00871366311739, (9.0, 7.0): 0.00870130594485, (11.0, 4.0): 0.00870364928509, (10.0, 4.0): 0.00869817964312, (16.0, 4.0): 0.00874354779429, (12.0, 7.0): 0.00872452046483, (11.0, 9.0): 0.00872359843808, (15.0, 10.0): 0.0088184530669, (14.0, 6.0): 0.00874102565614, (13.0, 6.0): 0.00872924497342, (18.0, 6.0): 0.00702310541278, (17.0, 22.0): 0.00664093176157, (15.0, 7.0): 0.00876686746543, (18.0, 21.0): 0.00657022821798, (8.0, 3.0): 0.00521557463632, (10.0, 10.0): 0.00871654268767, (11.0, 3.0): 0.00696214614937, (12.0, 4.0): 0.00871066773265, (15.0, 9.0): 0.0088014586812, (14.0, 3.0): 0.0069799999001, (13.0, 9.0): 0.00875468233608, (12.0, 8.0): 0.00873098323006, (18.0, 11.0): 0.00725483193559, (18.0, 22.0): 0.00883261556912, (9.0, 8.0): 0.00870438990128, (14.0, 9.0): 0.00877610938079, (12.0, 9.0): 0.00873722277191, (17.0, 15.0): 0.00600683862799, (21.0, 20.0): 0.00435887038797, (18.0, 12.0): 0.00558245744497, (15.0, 11.0): 0.00706389244081, (8.0, 10.0): 0.00696527413565, (9.0, 11.0): 0.00696899976036, (12.0, 3.0): 0.00696744615879, (17.0, 5.0): 0.00875872766401, (16.0, 11.0): 0.00710304279095, (14.0, 10.0): 0.00878703843123, (17.0, 10.0): 0.00890417801384, (15.0, 3.0): 0.00698628038636, (18.0, 17.0): 0.00623417426364, (8.0, 7.0): 0.00695924354216, (9.0, 6.0): 0.00869842438484, (11.0, 7.0): 0.00871417220632, (10.0, 5.0): 0.00870004660413, (16.0, 5.0): 0.00875172936139, (20.0, 24.0): 0.00670556272417, (19.0, 16.0): 0.00613347353304, (16.0, 8.0): 0.00880394528003, (14.0, 7.0): 0.00875151718198, (13.0, 5.0): 0.00872298565385, (18.0, 20.0): 0.00868026870456, (18.0, 7.0): 0.00704174832288, (15.0, 6.0): 0.00875313661443, (18.0, 18.0): 0.00845396638126, (8.0, 4.0): 0.00695442544702, (10.0, 11.0): 0.00697470361553, (13.0, 8.0): 0.0087459479267, (10.0, 6.0): 0.00870288436823, (15.0, 22.0): 0.00443693517943, (12.0, 5.0): 0.00871385575527, (17.0, 3.0): 0.00699603482578, (15.0, 8.0): 0.0087833984334, (21.0, 16.0): 0.00409468103573, (18.0, 8.0): 0.00706790534976, (15.0, 5.0): 0.00874276622352, (18.0, 23.0): 0.00665414713206, (16.0, 15.0): 0.00601185515209, (12.0, 10.0): 0.0087423334152, (15.0, 15.0): 0.0040092442278, (13.0, 11.0): 0.00701315749231, (18.0, 13.0): 0.00572300397111, (18.0, 24.0): 0.00667762989007, (8.0, 11.0): 0.00522481941123, (9.0, 10.0): 0.00870968482427, (19.0, 20.0): 0.00652516046185, (17.0, 4.0): 0.00874936449756, (14.0, 11.0): 0.00703508818244, (18.0, 3.0): 0.00524886438012, (17.0, 9.0): 0.00885912388042, (18.0, 14.0): 0.00586203862924, (8.0, 8.0): 0.00696145909811, (9.0, 5.0): 0.00869608752292, (11.0, 6.0): 0.00870969725848, }, ]
+501 None [{(16.0, 6.0): 0.00876445201575, (11.0, 11.0): 0.00698371493208, (17.0, 7.0): 0.00879450296518, (16.0, 9.0): 0.00883001960146, (14.0, 4.0): 0.00872746519602, (13.0, 4.0): 0.00871879628975, (20.0, 20.0): 0.00653454437334, (18.0, 4.0): 0.00700218815395, (18.0, 19.0): 0.00642788389842, (8.0, 5.0): 0.00695549862995, (10.0, 8.0): 0.00871012204481, (11.0, 5.0): 0.00870606742946, (10.0, 7.0): 0.00870637688347, (16.0, 3.0): 0.0069918126749, (12.0, 6.0): 0.00871861244245, (16.0, 22.0): 0.00665126238411, (13.0, 7.0): 0.00873713108098, (18.0, 9.0): 0.00710505635403, (15.0, 4.0): 0.00873597888161, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00424286785494, (9.0, 3.0): 0.00695526073274, (19.0, 24.0): 0.00669479610903, (12.0, 11.0): 0.00699635095758, (13.0, 10.0): 0.00876200277989, (18.0, 10.0): 0.00716089511618, (17.0, 18.0): 0.00635315604175, (9.0, 9.0): 0.00870730246862, (16.0, 18.0): 0.00636111244733, (11.0, 8.0): 0.00871900247567, (14.0, 8.0): 0.00876362452976, (21.0, 24.0): 0.00447325180343, (20.0, 16.0): 0.00613957536875, (17.0, 8.0): 0.0088226231689, (18.0, 15.0): 0.00799846039055, (8.0, 9.0): 0.00696355294227, (9.0, 4.0): 0.0086945734827, (10.0, 3.0): 0.00695799849289, (16.0, 7.0): 0.00878186326486, (11.0, 10.0): 0.00872733123851, (17.0, 6.0): 0.00877354455152, (16.0, 10.0): 0.00885744833637, (14.0, 5.0): 0.00873287512279, (13.0, 3.0): 0.00697354612799, (18.0, 5.0): 0.00701022965144, (17.0, 11.0): 0.00716022230832, (18.0, 16.0): 0.00816500000226, (8.0, 6.0): 0.00695717347173, (10.0, 9.0): 0.00871366311739, (9.0, 7.0): 0.00870130594485, (11.0, 4.0): 0.00870364928509, (10.0, 4.0): 0.00869817964312, (16.0, 4.0): 0.00874354779429, (12.0, 7.0): 0.00872452046483, (11.0, 9.0): 0.00872359843808, (15.0, 10.0): 0.0088184530669, (14.0, 6.0): 0.00874102565614, (13.0, 6.0): 0.00872924497342, (18.0, 6.0): 0.00702310541278, (17.0, 22.0): 0.00664093176157, (15.0, 7.0): 0.00876686746543, (18.0, 21.0): 0.00657022821798, (8.0, 3.0): 0.00521557463632, (10.0, 10.0): 0.00871654268767, (11.0, 3.0): 0.00696214614937, (12.0, 4.0): 0.00871066773265, (15.0, 9.0): 0.0088014586812, (14.0, 3.0): 0.0069799999001, (13.0, 9.0): 0.00875468233608, (12.0, 8.0): 0.00873098323006, (18.0, 11.0): 0.00725483193559, (18.0, 22.0): 0.00883261556912, (9.0, 8.0): 0.00870438990128, (14.0, 9.0): 0.00877610938079, (12.0, 9.0): 0.00873722277191, (17.0, 15.0): 0.00600683862799, (21.0, 20.0): 0.00435887038797, (18.0, 12.0): 0.00558245744497, (15.0, 11.0): 0.00706389244081, (8.0, 10.0): 0.00696527413565, (9.0, 11.0): 0.00696899976036, (12.0, 3.0): 0.00696744615879, (17.0, 5.0): 0.00875872766401, (16.0, 11.0): 0.00710304279095, (14.0, 10.0): 0.00878703843123, (17.0, 10.0): 0.00890417801384, (15.0, 3.0): 0.00698628038636, (18.0, 17.0): 0.00623417426364, (8.0, 7.0): 0.00695924354216, (9.0, 6.0): 0.00869842438484, (11.0, 7.0): 0.00871417220632, (10.0, 5.0): 0.00870004660413, (16.0, 5.0): 0.00875172936139, (20.0, 24.0): 0.00670556272417, (19.0, 16.0): 0.00613347353304, (16.0, 8.0): 0.00880394528003, (14.0, 7.0): 0.00875151718198, (13.0, 5.0): 0.00872298565385, (18.0, 20.0): 0.00868026870456, (18.0, 7.0): 0.00704174832288, (15.0, 6.0): 0.00875313661443, (18.0, 18.0): 0.00845396638126, (8.0, 4.0): 0.00695442544702, (10.0, 11.0): 0.00697470361553, (13.0, 8.0): 0.0087459479267, (10.0, 6.0): 0.00870288436823, (15.0, 22.0): 0.00443693517943, (12.0, 5.0): 0.00871385575527, (17.0, 3.0): 0.00699603482578, (15.0, 8.0): 0.0087833984334, (21.0, 16.0): 0.00409468103573, (18.0, 8.0): 0.00706790534976, (15.0, 5.0): 0.00874276622352, (18.0, 23.0): 0.00665414713206, (16.0, 15.0): 0.00601185515209, (12.0, 10.0): 0.0087423334152, (15.0, 15.0): 0.0040092442278, (13.0, 11.0): 0.00701315749231, (18.0, 13.0): 0.00572300397111, (18.0, 24.0): 0.00667762989007, (8.0, 11.0): 0.00522481941123, (9.0, 10.0): 0.00870968482427, (19.0, 20.0): 0.00652516046185, (17.0, 4.0): 0.00874936449756, (14.0, 11.0): 0.00703508818244, (18.0, 3.0): 0.00524886438012, (17.0, 9.0): 0.00885912388042, (18.0, 14.0): 0.00586203862924, (8.0, 8.0): 0.00696145909811, (9.0, 5.0): 0.00869608752292, (11.0, 6.0): 0.00870969725848, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/4-ExactPredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/4-ExactPredict.test
new file mode 100644
index 0000000..309a8af
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/4-ExactPredict.test	
@@ -0,0 +1,46 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%   G       %%%%
+%%%%%%%%           %%%%
+%%P%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%%%%%%%%%%%%%%%%
+% %%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "500"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+errorMsg: "Exact inference elapseTime test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q3/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/CONFIG
new file mode 100644
index 0000000..64a4dd7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q3/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q4/1-ExactFull.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/1-ExactFull.solution
new file mode 100644
index 0000000..ae05f4b
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/1-ExactFull.solution	
@@ -0,0 +1,205 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.0077519379845, (6, 9): 0.0077519379845, (11, 11): 0.0077519379845, (7, 12): 0.0077519379845, (13, 4): 0.0077519379845, (1, 6): 0.0077519379845, (3, 7): 0.0077519379845, (1, 11): 0.0077519379845, (8, 5): 0.0077519379845, (5, 8): 0.0077519379845, (10, 8): 0.0077519379845, (6, 7): 0.0077519379845, (5, 5): 0.0077519379845, (11, 5): 0.0077519379845, (10, 7): 0.0077519379845, (7, 6): 0.0077519379845, (6, 10): 0.0077519379845, (13, 7): 0.0077519379845, (8, 15): 0.0077519379845, (4, 10): 0.0077519379845, (5, 11): 0.0077519379845, (4, 5): 0.0077519379845, (10, 13): 0.0077519379845, (9, 3): 0.0077519379845, (7, 5): 0.0077519379845, (13, 10): 0.0077519379845, (3, 12): 0.0077519379845, (1, 12): 0.0077519379845, (8, 12): 0.0077519379845, (4, 15): 0.0077519379845, (9, 9): 0.0077519379845, (6, 13): 0.0077519379845, (11, 15): 0.0077519379845, (7, 8): 0.0077519379845, (13, 13): 0.0077519379845, (3, 11): 0.0077519379845, (1, 15): 0.0077519379845, (8, 9): 0.0077519379845, (4, 12): 0.0077519379845, (10, 3): 0.0077519379845, (11, 10): 0.0077519379845, (7, 15): 0.0077519379845, (13, 3): 0.0077519379845, (1, 5): 0.0077519379845, (3, 6): 0.0077519379845, (1, 10): 0.0077519379845, (8, 6): 0.0077519379845, (10, 9): 0.0077519379845, (9, 7): 0.0077519379845, (6, 11): 0.0077519379845, (11, 9): 0.0077519379845, (13, 6): 0.0077519379845, (4, 11): 0.0077519379845, (3, 5): 0.0077519379845, (9, 13): 0.0077519379845, (8, 3): 0.0077519379845, (5, 10): 0.0077519379845, (4, 6): 0.0077519379845, (10, 10): 0.0077519379845, (5, 7): 0.0077519379845, (11, 3): 0.0077519379845, (13, 9): 0.0077519379845, (3, 15): 0.0077519379845, (1, 3): 0.0077519379845, (8, 13): 0.0077519379845, (4, 8): 0.0077519379845, (9, 8): 0.0077519379845, (5, 13): 0.0077519379845, (10, 15): 0.0077519379845, (7, 11): 0.0077519379845, (13, 12): 0.0077519379845, (3, 10): 0.0077519379845, (1, 14): 0.0077519379845, (8, 10): 0.0077519379845, (4, 13): 0.0077519379845, (9, 11): 0.0077519379845, (6, 15): 0.0077519379845, (12, 3): 0.0077519379845, (11, 13): 0.0077519379845, (13, 15): 0.0077519379845, (1, 4): 0.0077519379845, (3, 9): 0.0077519379845, (2, 3): 0.0077519379845, (1, 9): 0.0077519379845, (8, 7): 0.0077519379845, (9, 6): 0.0077519379845, (6, 5): 0.0077519379845, (5, 3): 0.0077519379845, (11, 7): 0.0077519379845, (10, 5): 0.0077519379845, (6, 8): 0.0077519379845, (11, 8): 0.0077519379845, (7, 13): 0.0077519379845, (13, 5): 0.0077519379845, (1, 7): 0.0077519379845, (9, 12): 0.0077519379845, (5, 9): 0.0077519379845, (4, 7): 0.0077519379845, (10, 11): 0.0077519379845, (6, 6): 0.0077519379845, (5, 6): 0.0077519379845, (10, 6): 0.0077519379845, (7, 7): 0.0077519379845, (13, 8): 0.0077519379845, (4, 9): 0.0077519379845, (3, 3): 0.0077519379845, (9, 15): 0.0077519379845, (5, 12): 0.0077519379845, (10, 12): 0.0077519379845, (6, 3): 0.0077519379845, (7, 10): 0.0077519379845, (13, 11): 0.0077519379845, (3, 13): 0.0077519379845, (1, 13): 0.0077519379845, (8, 11): 0.0077519379845, (9, 10): 0.0077519379845, (5, 15): 0.0077519379845, (6, 12): 0.0077519379845, (11, 12): 0.0077519379845, (7, 9): 0.0077519379845, (12, 15): 0.0077519379845, (13, 14): 0.0077519379845, (3, 8): 0.0077519379845, (1, 8): 0.0077519379845, (8, 8): 0.0077519379845, (4, 3): 0.0077519379845, (2, 15): 0.0077519379845, (9, 5): 0.0077519379845, (11, 6): 0.0077519379845, }, {(7, 3): 0.0077519379845, (6, 9): 0.0077519379845, (11, 11): 0.0077519379845, (7, 12): 0.0077519379845, (13, 4): 0.0077519379845, (1, 6): 0.0077519379845, (3, 7): 0.0077519379845, (1, 11): 0.0077519379845, (8, 5): 0.0077519379845, (5, 8): 0.0077519379845, (10, 8): 0.0077519379845, (6, 7): 0.0077519379845, (5, 5): 0.0077519379845, (11, 5): 0.0077519379845, (10, 7): 0.0077519379845, (7, 6): 0.0077519379845, (6, 10): 0.0077519379845, (13, 7): 0.0077519379845, (8, 15): 0.0077519379845, (4, 10): 0.0077519379845, (5, 11): 0.0077519379845, (4, 5): 0.0077519379845, (10, 13): 0.0077519379845, (9, 3): 0.0077519379845, (7, 5): 0.0077519379845, (13, 10): 0.0077519379845, (3, 12): 0.0077519379845, (1, 12): 0.0077519379845, (8, 12): 0.0077519379845, (4, 15): 0.0077519379845, (9, 9): 0.0077519379845, (6, 13): 0.0077519379845, (11, 15): 0.0077519379845, (7, 8): 0.0077519379845, (13, 13): 0.0077519379845, (3, 11): 0.0077519379845, (1, 15): 0.0077519379845, (8, 9): 0.0077519379845, (4, 12): 0.0077519379845, (10, 3): 0.0077519379845, (11, 10): 0.0077519379845, (7, 15): 0.0077519379845, (13, 3): 0.0077519379845, (1, 5): 0.0077519379845, (3, 6): 0.0077519379845, (1, 10): 0.0077519379845, (8, 6): 0.0077519379845, (10, 9): 0.0077519379845, (9, 7): 0.0077519379845, (6, 11): 0.0077519379845, (11, 9): 0.0077519379845, (13, 6): 0.0077519379845, (4, 11): 0.0077519379845, (3, 5): 0.0077519379845, (9, 13): 0.0077519379845, (8, 3): 0.0077519379845, (5, 10): 0.0077519379845, (4, 6): 0.0077519379845, (10, 10): 0.0077519379845, (5, 7): 0.0077519379845, (11, 3): 0.0077519379845, (13, 9): 0.0077519379845, (3, 15): 0.0077519379845, (1, 3): 0.0077519379845, (8, 13): 0.0077519379845, (4, 8): 0.0077519379845, (9, 8): 0.0077519379845, (5, 13): 0.0077519379845, (10, 15): 0.0077519379845, (7, 11): 0.0077519379845, (13, 12): 0.0077519379845, (3, 10): 0.0077519379845, (1, 14): 0.0077519379845, (8, 10): 0.0077519379845, (4, 13): 0.0077519379845, (9, 11): 0.0077519379845, (6, 15): 0.0077519379845, (12, 3): 0.0077519379845, (11, 13): 0.0077519379845, (13, 15): 0.0077519379845, (1, 4): 0.0077519379845, (3, 9): 0.0077519379845, (2, 3): 0.0077519379845, (1, 9): 0.0077519379845, (8, 7): 0.0077519379845, (9, 6): 0.0077519379845, (6, 5): 0.0077519379845, (5, 3): 0.0077519379845, (11, 7): 0.0077519379845, (10, 5): 0.0077519379845, (6, 8): 0.0077519379845, (11, 8): 0.0077519379845, (7, 13): 0.0077519379845, (13, 5): 0.0077519379845, (1, 7): 0.0077519379845, (9, 12): 0.0077519379845, (5, 9): 0.0077519379845, (4, 7): 0.0077519379845, (10, 11): 0.0077519379845, (6, 6): 0.0077519379845, (5, 6): 0.0077519379845, (10, 6): 0.0077519379845, (7, 7): 0.0077519379845, (13, 8): 0.0077519379845, (4, 9): 0.0077519379845, (3, 3): 0.0077519379845, (9, 15): 0.0077519379845, (5, 12): 0.0077519379845, (10, 12): 0.0077519379845, (6, 3): 0.0077519379845, (7, 10): 0.0077519379845, (13, 11): 0.0077519379845, (3, 13): 0.0077519379845, (1, 13): 0.0077519379845, (8, 11): 0.0077519379845, (9, 10): 0.0077519379845, (5, 15): 0.0077519379845, (6, 12): 0.0077519379845, (11, 12): 0.0077519379845, (7, 9): 0.0077519379845, (12, 15): 0.0077519379845, (13, 14): 0.0077519379845, (3, 8): 0.0077519379845, (1, 8): 0.0077519379845, (8, 8): 0.0077519379845, (4, 3): 0.0077519379845, (2, 15): 0.0077519379845, (9, 5): 0.0077519379845, (11, 6): 0.0077519379845, }, ]
+1 Stop [{(7, 3): 0.0122793553338, (6, 9): 0.000575594781274, (11, 11): 0.0122793553338, (7, 12): 0.00153491941673, (13, 4): 0.00153491941673, (1, 6): 0.00613967766692, (3, 7): 0.0122793553338, (1, 11): 0.0122793553338, (8, 5): 0.00613967766692, (5, 8): 0.00153491941673, (10, 8): 0.00306983883346, (6, 7): 0.00153491941673, (5, 5): 0.0122793553338, (11, 5): 0.0122793553338, (10, 7): 0.00613967766692, (7, 6): 0.00153491941673, (6, 10): 0.000767459708365, (13, 7): 0.0122793553338, (1, 1): 0.0, (8, 15): 0.0245587106677, (4, 10): 0.00306983883346, (5, 11): 0.00306983883346, (4, 5): 0.0245587106677, (10, 13): 0.0245587106677, (9, 3): 0.0122793553338, (7, 5): 0.00306983883346, (13, 10): 0.0245587106677, (3, 12): 0.0245587106677, (1, 12): 0.00613967766692, (8, 12): 0.00306983883346, (4, 15): 0.00613967766692, (9, 9): 0.000767459708365, (6, 13): 0.00613967766692, (11, 15): 0.00306983883346, (7, 8): 0.000575594781274, (13, 13): 0.00306983883346, (3, 11): 0.0122793553338, (1, 15): 0.000767459708365, (8, 9): 0.000575594781274, (4, 12): 0.0122793553338, (10, 3): 0.00613967766692, (11, 10): 0.00613967766692, (7, 15): 0.0122793553338, (13, 3): 0.000767459708365, (1, 5): 0.00306983883346, (3, 6): 0.0245587106677, (1, 10): 0.0245587106677, (8, 6): 0.00306983883346, (10, 9): 0.00153491941673, (9, 7): 0.00306983883346, (6, 11): 0.00153491941673, (11, 9): 0.00306983883346, (13, 6): 0.00613967766692, (4, 11): 0.00613967766692, (3, 5): 0.0122793553338, (9, 13): 0.0122793553338, (8, 3): 0.0245587106677, (5, 10): 0.00153491941673, (4, 6): 0.0122793553338, (10, 10): 0.00306983883346, (5, 7): 0.00306983883346, (11, 3): 0.00306983883346, (13, 9): 0.0122793553338, (3, 15): 0.00306983883346, (1, 3): 0.000767459708365, (8, 13): 0.00613967766692, (4, 8): 0.00306983883346, (9, 8): 0.00153491941673, (5, 13): 0.0122793553338, (10, 15): 0.00613967766692, (7, 11): 0.000767459708365, (13, 12): 0.00613967766692, (3, 10): 0.00613967766692, (1, 14): 0.00153491941673, (8, 10): 0.000767459708365, (4, 13): 0.0245587106677, (9, 11): 0.00306983883346, (6, 15): 0.0245587106677, (12, 3): 0.00153491941673, (11, 13): 0.0122793553338, (13, 15): 0.000767459708365, (1, 4): 0.00153491941673, (3, 9): 0.00306983883346, (2, 3): 0.00153491941673, (1, 9): 0.0122793553338, (8, 7): 0.00153491941673, (9, 6): 0.00613967766692, (6, 5): 0.00613967766692, (5, 3): 0.0122793553338, (11, 7): 0.0122793553338, (10, 5): 0.0245587106677, (6, 8): 0.000767459708365, (11, 8): 0.00613967766692, (7, 13): 0.00306983883346, (13, 5): 0.00306983883346, (1, 7): 0.0122793553338, (9, 12): 0.00613967766692, (5, 9): 0.000767459708365, (4, 7): 0.00613967766692, (10, 11): 0.00613967766692, (6, 6): 0.00306983883346, (5, 6): 0.00613967766692, (10, 6): 0.0122793553338, (7, 7): 0.000767459708365, (13, 8): 0.0245587106677, (4, 9): 0.00153491941673, (3, 3): 0.00306983883346, (9, 15): 0.0122793553338, (5, 12): 0.00613967766692, (10, 12): 0.0122793553338, (6, 3): 0.0245587106677, (7, 10): 0.000575594781274, (13, 11): 0.0122793553338, (3, 13): 0.0122793553338, (1, 13): 0.00306983883346, (8, 11): 0.00153491941673, (9, 10): 0.00153491941673, (5, 15): 0.0122793553338, (6, 12): 0.00306983883346, (11, 12): 0.0245587106677, (7, 9): 0.0, (12, 15): 0.00153491941673, (13, 14): 0.00153491941673, (3, 8): 0.00613967766692, (1, 8): 0.0245587106677, (8, 8): 0.000767459708365, (4, 3): 0.00613967766692, (2, 15): 0.00153491941673, (9, 5): 0.0122793553338, (11, 6): 0.0245587106677, }, {(7.0, 3.0): 0.00729992724406, (6.0, 9.0): 0.000138698617637, (11.0, 11.0): 0.00693493088186, (7.0, 12.0): 0.000958115450783, (13.0, 4.0): 0.00364996362203, (1.0, 6.0): 0.0145998544881, (3.0, 7.0): 0.00693493088186, (1.0, 11.0): 0.0291997089762, (8.0, 5.0): 0.00346746544093, (5.0, 8.0): 0.000912490905507, (10.0, 8.0): 0.00191623090157, (6.0, 7.0): 0.000912490905507, (5.0, 5.0): 0.00693493088186, (11.0, 5.0): 0.0243330908135, (10.0, 7.0): 0.00383246180313, (7.0, 6.0): 0.000958115450783, (6.0, 10.0): 0.000419745816533, (13.0, 7.0): 0.0291997089762, (8.0, 15.0): 0.0145998544881, (4.0, 10.0): 0.00191623090157, (5.0, 11.0): 0.00182498181101, (4.0, 5.0): 0.0150865163044, (10.0, 13.0): 0.0150865163044, (9.0, 3.0): 0.0291997089762, (7.0, 5.0): 0.00173373272046, (13.0, 10.0): 0.0145998544881, (3.0, 12.0): 0.0150865163044, (1.0, 12.0): 0.0145998544881, (8.0, 12.0): 0.00191623090157, (4.0, 15.0): 0.0145998544881, (3, 1): 0.0, (9.0, 9.0): 0.000437995634644, (6.0, 13.0): 0.00346746544093, (11.0, 15.0): 0.00729992724406, (7.0, 8.0): 0.000138698617637, (13.0, 13.0): 0.00729992724406, (3.0, 11.0): 0.00693493088186, (1.0, 15.0): 0.00182498181101, (8.0, 9.0): 0.000138698617637, (4.0, 12.0): 0.00802991996846, (10.0, 3.0): 0.0145998544881, (11.0, 10.0): 0.00346746544093, (7.0, 15.0): 0.00729992724406, (13.0, 3.0): 0.00182498181101, (1.0, 5.0): 0.00729992724406, (3.0, 6.0): 0.0150865163044, (1.0, 10.0): 0.0145998544881, (8.0, 6.0): 0.00191623090157, (10.0, 9.0): 0.000958115450783, (9.0, 7.0): 0.00182498181101, (6.0, 11.0): 0.000912490905507, (11.0, 9.0): 0.00173373272046, (13.0, 6.0): 0.0145998544881, (4.0, 11.0): 0.00383246180313, (3.0, 5.0): 0.0243330908135, (9.0, 13.0): 0.00693493088186, (8.0, 3.0): 0.0145998544881, (5.0, 10.0): 0.000912490905507, (4.0, 6.0): 0.00802991996846, (10.0, 10.0): 0.00191623090157, (5.0, 7.0): 0.00182498181101, (11.0, 3.0): 0.00729992724406, (13.0, 9.0): 0.00729992724406, (3.0, 15.0): 0.00729992724406, (1.0, 3.0): 0.00182498181101, (8.0, 13.0): 0.00346746544093, (4.0, 8.0): 0.00191623090157, (9.0, 8.0): 0.000912490905507, (5.0, 13.0): 0.00693493088186, (10.0, 15.0): 0.0145998544881, (7.0, 11.0): 0.000437995634644, (13.0, 12.0): 0.0145998544881, (3.0, 10.0): 0.00346746544093, (1.0, 14.0): 0.00364996362203, (8.0, 10.0): 0.000419745816533, (4.0, 13.0): 0.0150865163044, (9.0, 11.0): 0.00182498181101, (6.0, 15.0): 0.0145998544881, (12.0, 3.0): 0.00364996362203, (11.0, 13.0): 0.0243330908135, (13.0, 15.0): 0.00182498181101, (1.0, 4.0): 0.00364996362203, (3.0, 9.0): 0.00173373272046, (2.0, 3.0): 0.00364996362203, (1.0, 9.0): 0.00729992724406, (8.0, 7.0): 0.000912490905507, (9.0, 6.0): 0.00383246180313, (6.0, 5.0): 0.00346746544093, (5.0, 3.0): 0.0291997089762, (11.0, 7.0): 0.00693493088186, (10.0, 5.0): 0.0150865163044, (6.0, 8.0): 0.000419745816533, (11.0, 8.0): 0.00346746544093, (7.0, 13.0): 0.00173373272046, (13.0, 5.0): 0.00729992724406, (1.0, 7.0): 0.0291997089762, (9.0, 12.0): 0.00383246180313, (5.0, 9.0): 0.000437995634644, (4.0, 7.0): 0.00383246180313, (10.0, 11.0): 0.00383246180313, (6.0, 6.0): 0.00191623090157, (5.0, 6.0): 0.00383246180313, (10.0, 6.0): 0.00802991996846, (7.0, 7.0): 0.000437995634644, (13.0, 8.0): 0.0145998544881, (4.0, 9.0): 0.000958115450783, (3.0, 3.0): 0.00729992724406, (9.0, 15.0): 0.0291997089762, (5.0, 12.0): 0.00383246180313, (10.0, 12.0): 0.00802991996846, (6.0, 3.0): 0.0145998544881, (7.0, 10.0): 0.000138698617637, (13.0, 11.0): 0.0291997089762, (3.0, 13.0): 0.0243330908135, (1.0, 13.0): 0.00729992724406, (8.0, 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+2 East [{(7.0, 3.0): 0.0194191536939, (6.0, 9.0): 1.9661893115e-05, (11.0, 11.0): 0.0113602049109, (7.0, 12.0): 0.000291287305408, (13.0, 4.0): 0.000212396993527, (1.0, 6.0): 0.00339835189643, (3.0, 7.0): 0.0113602049109, (1.0, 11.0): 0.0135934075857, (8.0, 5.0): 0.00284005122773, (5.0, 8.0): 0.000218465479056, (10.0, 8.0): 0.000946683742576, (6.0, 7.0): 0.000218465479056, (5.0, 5.0): 0.0113602049109, (11.0, 5.0): 0.0155353229551, (10.0, 7.0): 0.0037867349703, (7.0, 6.0): 0.000291287305408, (6.0, 10.0): 5.64369154228e-05, (13.0, 7.0): 0.0135934075857, (1, 1): 0.0, (8.0, 15.0): 0.0310706459102, (4.0, 10.0): 0.000946683742576, (5.0, 11.0): 0.000873861916224, (4.0, 5.0): 0.0299054966885, (10.0, 13.0): 0.0299054966885, (9.0, 3.0): 0.0135934075857, (7.0, 5.0): 0.000983094655752, (13.0, 10.0): 0.0310706459102, (3.0, 12.0): 0.0299054966885, (1.0, 12.0): 0.00339835189643, (8.0, 12.0): 0.000946683742576, (4.0, 15.0): 0.00339835189643, (9.0, 9.0): 6.91807350344e-05, (6.0, 13.0): 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+11 South [{(7.0, 3.0): 0.00591278961551, (6.0, 9.0): 0.0, (11.0, 11.0): 0.0, (7.0, 12.0): 0.0, (13.0, 4.0): 0.00648195401339, (1.0, 6.0): 0.182086163705, (3.0, 7.0): 0.00321788411175, (1.0, 11.0): 9.5359310892e-05, (8.0, 5.0): 2.13265867694e-07, (5.0, 8.0): 9.96379748231e-07, (10.0, 8.0): 0.0, (6.0, 7.0): 9.96086049385e-07, (5.0, 5.0): 0.00321765008555, (11.0, 5.0): 2.43377387105e-07, (10.0, 7.0): 0.0, (7.0, 6.0): 6.46381921346e-07, (6.0, 10.0): 0.0, (13.0, 7.0): 1.58125883376e-05, (1, 1): 0.0, (8.0, 15.0): 2.53654458633e-11, (4.0, 10.0): 1.39188294142e-08, (5.0, 11.0): 0.0, (4.0, 5.0): 0.0241480772908, (10.0, 13.0): 0.0, (9.0, 3.0): 5.3642941836e-05, (7.0, 5.0): 7.75805583443e-06, (13.0, 10.0): 0.0, (3.0, 12.0): 1.20025895076e-09, (1.0, 12.0): 5.79280954481e-05, (8.0, 12.0): 0.0, (4.0, 15.0): 3.88173840433e-05, (9.0, 9.0): 0.0, (6.0, 13.0): 1.80674709285e-12, (11.0, 15.0): 4.02234124772e-10, (7.0, 8.0): 0.0, (13.0, 13.0): 4.02565999236e-10, (3.0, 11.0): 1.66133980475e-08, (1.0, 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+12 East [{(7.0, 3.0): 0.00160820343294, (6.0, 9.0): 0.0, (11.0, 11.0): 0.0, (7.0, 12.0): 0.0, (13.0, 4.0): 0.00191850816026, (1.0, 6.0): 0.11086048783, (3.0, 7.0): 0.000858488715998, (1.0, 11.0): 9.28223421852e-05, (8.0, 5.0): 0.0, (5.0, 8.0): 0.0, (10.0, 8.0): 0.0, (6.0, 7.0): 0.0, (5.0, 5.0): 0.000858466254517, (11.0, 5.0): 4.11028214401e-09, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 0.0, (13.0, 7.0): 1.67280400582e-06, (1, 1): 0.0, (8.0, 15.0): 2.93036970796e-11, (4.0, 10.0): 5.64576021082e-09, (5.0, 11.0): 4.81588652023e-12, (4.0, 5.0): 0.00651542856337, (10.0, 13.0): 0.0, (9.0, 3.0): 8.04892188423e-06, (7.0, 5.0): 1.67148365225e-06, (13.0, 10.0): 0.0, (3.0, 12.0): 1.1618362262e-09, (1.0, 12.0): 0.00021828803035, (8.0, 12.0): 0.0, (4.0, 15.0): 0.00017674427922, (9.0, 9.0): 0.0, (6.0, 13.0): 5.36859926199e-13, (11.0, 15.0): 1.24563089771e-10, (7.0, 8.0): 0.0, (13.0, 13.0): 1.24606070151e-10, (3.0, 11.0): 6.94371498252e-09, (1.0, 15.0): 0.00524590717614, (8.0, 9.0): 0.0, (4.0, 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+59 East [{(7.0, 3.0): 0.0, (6.0, 9.0): 1.18309743554e-11, (11.0, 11.0): 0.0, (7.0, 12.0): 2.55996912701e-11, (13.0, 4.0): 0.0, (1.0, 6.0): 0.134861641972, (3.0, 7.0): 7.14919592633e-12, (1.0, 11.0): 0.000736679803839, (8.0, 5.0): 0.0, (5.0, 8.0): 9.53842995395e-12, (10.0, 8.0): 0.0, (6.0, 7.0): 0.0, (5.0, 5.0): 0.0, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 2.92173870753e-11, (13.0, 7.0): 0.0, (1, 1): 0.0, (8.0, 15.0): 0.000157498290653, (4.0, 10.0): 3.62190136945e-11, (5.0, 11.0): 3.77604636708e-11, (4.0, 5.0): 1.08893857983e-13, (10.0, 13.0): 1.75660784641e-12, (9.0, 3.0): 0.0, (7.0, 5.0): 0.0, (13.0, 10.0): 2.9231119323e-06, (3.0, 12.0): 4.33058655846e-12, (1.0, 12.0): 0.0, (8.0, 12.0): 1.58779561648e-11, (4.0, 15.0): 0.0, (9.0, 9.0): 0.0, (6.0, 13.0): 1.52719412855e-11, (11.0, 15.0): 0.000151317223702, (7.0, 8.0): 0.0, (13.0, 13.0): 1.3303502128e-05, (3.0, 11.0): 1.08706377225e-11, (1.0, 15.0): 0.0, (8.0, 9.0): 0.0, (4.0, 12.0): 1.26031502373e-11, (10.0, 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+79 South [{(7.0, 3.0): 0.058501221568, (6.0, 9.0): 8.92526212666e-11, (11.0, 11.0): 4.06635901224e-11, (7.0, 12.0): 1.39593026796e-11, (13.0, 4.0): 0.0545346042627, (1.0, 6.0): 0.0, (3.0, 7.0): 7.97989659136e-12, (1.0, 11.0): 0.0, (8.0, 5.0): 3.75658307687e-12, (5.0, 8.0): 7.35836299124e-11, (10.0, 8.0): 6.59093174108e-14, (6.0, 7.0): 8.16946192266e-11, (5.0, 5.0): 3.79963025962e-12, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (7.0, 6.0): 1.11537161211e-11, (6.0, 10.0): 3.78012995242e-11, (13.0, 7.0): 5.7914393357e-05, (1, 1): 0.0, (8.0, 15.0): 9.0658342839e-11, (4.0, 10.0): 2.72714423781e-12, (5.0, 11.0): 2.73138570549e-12, (4.0, 5.0): 1.59934427064e-12, (10.0, 13.0): 8.76078099034e-11, (9.0, 3.0): 0.182208007092, (7.0, 5.0): 6.00612413519e-12, (13.0, 10.0): 3.82460379609e-06, (3.0, 12.0): 0.0, (1.0, 12.0): 0.0, (8.0, 12.0): 3.05256545243e-11, (4.0, 15.0): 0.0, (9.0, 9.0): 8.2645954653e-12, (6.0, 13.0): 3.13512058975e-13, (11.0, 15.0): 5.78688285149e-10, (7.0, 8.0): 8.94845478945e-11, (13.0, 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+201 None [{(7.0, 3.0): 1.35020421423e-06, (6.0, 9.0): 0.0, (11.0, 11.0): 1.62682537378e-34, (7.0, 12.0): 5.02980719803e-39, (13.0, 4.0): 0.23553132887, (1.0, 6.0): 0.0, (3.0, 7.0): 0.0, (1.0, 11.0): 0.0, (8.0, 5.0): 0.0, (5.0, 8.0): 0.0, (10.0, 8.0): 5.97209159038e-37, (6.0, 7.0): 0.0, (5.0, 5.0): 0.0, (11.0, 5.0): 1.77468267803e-35, (10.0, 7.0): 1.32889200893e-37, (7.0, 6.0): 0.0, (6.0, 10.0): 0.0, (13.0, 7.0): 0.00382012819977, (1, 1): 0.0, (8.0, 15.0): 1.09371210211e-07, (4.0, 10.0): 0.0, (5.0, 11.0): 0.0, (4.0, 5.0): 0.0, (10.0, 13.0): 2.28043056659e-35, (9.0, 3.0): 0.000815128534969, (7.0, 5.0): 0.0, (13.0, 10.0): 0.0121036263858, (3.0, 12.0): 0.0, (1.0, 12.0): 2.26773556862e-22, (8.0, 12.0): 2.04784553176e-37, (4.0, 15.0): 7.80553539425e-11, (9.0, 9.0): 1.37802846592e-37, (6.0, 13.0): 2.34340097892e-40, (11.0, 15.0): 2.03600788784e-10, (7.0, 8.0): 0.0, (13.0, 13.0): 3.95393196069e-08, (3.0, 11.0): 0.0, (1.0, 15.0): 4.09133294469e-13, (8.0, 9.0): 2.09629682466e-39, (4.0, 12.0): 0.0, (10.0, 3.0): 0.00852374262983, (11.0, 10.0): 7.13475077677e-35, (7.0, 15.0): 2.96387717861e-08, (13.0, 3.0): 0.301511366947, (1.0, 5.0): 0.0, (3.0, 6.0): 0.0, (1.0, 10.0): 0.0, (8.0, 6.0): 0.0, (10.0, 9.0): 3.05246708829e-36, (9.0, 7.0): 0.0, (6.0, 11.0): 2.50698631591e-41, (11.0, 9.0): 2.36089767349e-35, (13.0, 6.0): 0.00665185789649, (4.0, 11.0): 0.0, (3.0, 5.0): 0.0, (9.0, 13.0): 3.83541665542e-36, (8.0, 3.0): 4.0869031011e-05, (5.0, 10.0): 0.0, (4.0, 6.0): 0.0, (10.0, 10.0): 1.14355576891e-35, (5.0, 7.0): 0.0, (11.0, 3.0): 0.0629624377205, (13.0, 9.0): 0.0162830769728, (3.0, 15.0): 4.69187851908e-12, (1.0, 3.0): 0.0, (8.0, 13.0): 2.48956837611e-37, (4.0, 8.0): 0.0, (9.0, 8.0): 2.19199539915e-38, (5.0, 13.0): 0.0, (10.0, 15.0): 2.41163395665e-09, (7.0, 11.0): 2.53165468578e-39, (13.0, 12.0): 1.37001528701e-06, (3.0, 10.0): 0.0, (1.0, 14.0): 1.39281424533e-15, (8.0, 10.0): 1.99729399293e-38, (4.0, 13.0): 0.0, (9.0, 11.0): 1.56539011914e-36, (6.0, 15.0): 5.87447213582e-09, (12.0, 3.0): 0.298910473833, (11.0, 13.0): 7.50634499292e-36, (13.0, 15.0): 2.43161254843e-12, (1.0, 4.0): 0.0, (3.0, 9.0): 0.0, (2.0, 3.0): 0.0, (1.0, 9.0): 0.0, (8.0, 7.0): 0.0, (9.0, 6.0): 0.0, (6.0, 5.0): 0.0, (5.0, 3.0): 0.0, (11.0, 7.0): 1.65211251753e-36, (10.0, 5.0): 3.74888937297e-36, (6.0, 8.0): 0.0, (11.0, 8.0): 4.98328585163e-36, (7.0, 13.0): 1.51814766139e-38, (13.0, 5.0): 0.045911234474, (1.0, 7.0): 0.0, (9.0, 12.0): 2.14347032734e-36, (5.0, 9.0): 0.0, (4.0, 7.0): 0.0, (10.0, 11.0): 1.52834119967e-35, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (10.0, 6.0): 5.02419215037e-37, (7.0, 7.0): 0.0, (13.0, 8.0): 0.00675373312483, (4.0, 9.0): 0.0, (3.0, 3.0): 0.0, (9.0, 15.0): 1.93370872313e-08, (5.0, 12.0): 1.02597960594e-42, (10.0, 12.0): 2.73962823518e-35, (6.0, 3.0): 0.0, (7.0, 10.0): 2.61938801483e-40, (13.0, 11.0): 0.000178067492536, (3.0, 13.0): 0.0, (1.0, 13.0): 1.76387844678e-18, (8.0, 11.0): 5.43965248623e-38, (9.0, 10.0): 3.91098879777e-37, (5.0, 15.0): 8.50933333428e-10, (6.0, 12.0): 1.50293536801e-40, (11.0, 12.0): 1.34320342366e-34, (7.0, 9.0): 0.0, (12.0, 15.0): 4.3448200129e-12, (13.0, 14.0): 3.49934374709e-10, (3.0, 8.0): 0.0, (1.0, 8.0): 0.0, (8.0, 8.0): 0.0, (4.0, 3.0): 0.0, (2.0, 15.0): 1.35391385766e-12, (9.0, 5.0): 2.3671036755e-37, (11.0, 6.0): 4.05083463784e-36, }, {(7.0, 3.0): 0.0, (6.0, 9.0): 0.0, (11.0, 11.0): 8.21992322165e-27, (7.0, 12.0): 9.30739969283e-31, (13.0, 4.0): 5.98733954833e-06, (1.0, 6.0): 0.0, (3.0, 7.0): 0.0, (1.0, 11.0): 0.0, (8.0, 5.0): 0.0, (5.0, 8.0): 0.0, (10.0, 8.0): 0.0, (6.0, 7.0): 0.0, (5.0, 5.0): 0.0, (11.0, 5.0): 1.8978197309e-36, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 0.0, (13.0, 7.0): 6.46974038232e-05, (8.0, 15.0): 0.181939009003, (4.0, 10.0): 0.0, (5.0, 11.0): 0.0, (4.0, 5.0): 0.0, (10.0, 13.0): 5.57750619927e-26, (9.0, 3.0): 7.47140705753e-10, (7.0, 5.0): 0.0, (13.0, 10.0): 0.184891142271, (3.0, 12.0): 0.0, (1.0, 12.0): 0.0, (8.0, 12.0): 3.38084134636e-29, (4.0, 15.0): 1.42803769892e-06, (3, 1): 0.0, (9.0, 9.0): 0.0, (6.0, 13.0): 2.78695110213e-31, (11.0, 15.0): 0.0231689349027, (7.0, 8.0): 0.0, (13.0, 13.0): 0.023533363163, (3.0, 11.0): 0.0, (1.0, 15.0): 1.7536417713e-12, (8.0, 9.0): 0.0, (4.0, 12.0): 0.0, (10.0, 3.0): 3.55116428029e-08, (11.0, 10.0): 4.24539537468e-28, (7.0, 15.0): 0.0327204156453, (13.0, 3.0): 3.38384611609e-05, (1.0, 5.0): 0.0, (3.0, 6.0): 0.0, (1.0, 10.0): 0.0, (8.0, 6.0): 0.0, (10.0, 9.0): 1.02956612205e-30, (9.0, 7.0): 0.0, (6.0, 11.0): 0.0, (11.0, 9.0): 1.35627629659e-29, (13.0, 6.0): 6.1952310158e-06, (4.0, 11.0): 0.0, (3.0, 5.0): 0.0, (9.0, 13.0): 7.98981478747e-27, (8.0, 3.0): 1.27023814084e-11, (5.0, 10.0): 0.0, (4.0, 6.0): 0.0, (10.0, 10.0): 3.6053314482e-29, (5.0, 7.0): 0.0, (11.0, 3.0): 9.29710195026e-07, (13.0, 9.0): 0.0332544531546, (3.0, 15.0): 0.0, (1.0, 3.0): 0.0, (8.0, 13.0): 3.99301636714e-28, (4.0, 8.0): 0.0, (9.0, 8.0): 0.0, (5.0, 13.0): 0.0, (10.0, 15.0): 0.0776097049172, (7.0, 11.0): 0.0, (13.0, 12.0): 0.0788481320525, (3.0, 10.0): 0.0, (1.0, 14.0): 6.70750333e-15, (8.0, 10.0): 0.0, (4.0, 13.0): 0.0, (9.0, 11.0): 4.46568203319e-29, (6.0, 15.0): 0.0017560535931, (12.0, 3.0): 5.65948927786e-06, (11.0, 13.0): 6.74303076438e-26, (13.0, 15.0): 4.07749662436e-05, (1.0, 4.0): 0.0, (3.0, 9.0): 0.0, (2.0, 3.0): 0.0, (1.0, 9.0): 0.0, (8.0, 7.0): 0.0, (9.0, 6.0): 0.0, (6.0, 5.0): 0.0, (5.0, 3.0): 0.0, (11.0, 7.0): 0.0, (10.0, 5.0): 1.44600964922e-38, (6.0, 8.0): 0.0, (11.0, 8.0): 3.21304861423e-31, (7.0, 13.0): 1.22144893496e-29, (13.0, 5.0): 2.81697266061e-06, (1.0, 7.0): 0.0, (9.0, 12.0): 9.38687516646e-28, (5.0, 9.0): 0.0, (4.0, 7.0): 0.0, (10.0, 11.0): 9.62003296566e-28, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (10.0, 6.0): 0.0, (7.0, 7.0): 0.0, (13.0, 8.0): 0.00178528890153, (4.0, 9.0): 0.0, (3.0, 3.0): 0.0, (9.0, 15.0): 0.177891085736, (5.0, 12.0): 0.0, (10.0, 12.0): 1.50115900287e-26, (6.0, 3.0): 0.0, (7.0, 10.0): 0.0, (13.0, 11.0): 0.180760295959, (3.0, 13.0): 0.0, (1.0, 13.0): 0.0, (8.0, 11.0): 1.54901106063e-30, (9.0, 10.0): 1.60577530516e-30, (5.0, 15.0): 6.32829268056e-05, (6.0, 12.0): 0.0, (11.0, 12.0): 5.65674921461e-26, (7.0, 9.0): 0.0, (12.0, 15.0): 0.000802221799608, (13.0, 14.0): 0.000814252020994, (3.0, 8.0): 0.0, (1.0, 8.0): 0.0, (8.0, 8.0): 0.0, (4.0, 3.0): 0.0, (2.0, 15.0): 6.78774516118e-11, (9.0, 5.0): 0.0, (11.0, 6.0): 2.5995940491e-35, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q4/1-ExactFull.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/1-ExactFull.test
new file mode 100644
index 0000000..c2dbddd
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/1-ExactFull.test	
@@ -0,0 +1,36 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%
+%      G      %
+% %%%%%%%%%%% %
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %    P    % %
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %%%%%%%%%%% %
+%      G      %
+%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%
+%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "200"
+
+numGhosts: "2"
+ghost: "SeededRandomGhostAgent"
+errorMsg: "Exact inference full test: %d inference errors."
+inference: "ExactInference"
+L2Tolerance: "0.0001"
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q4/2-ExactFull.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/2-ExactFull.solution
new file mode 100644
index 0000000..80eb94d
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/2-ExactFull.solution	
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.0169491525424, (1, 3): 0.0169491525424, (6, 6): 0.0169491525424, (5, 6): 0.0169491525424, (14, 4): 0.0169491525424, (13, 4): 0.0169491525424, (10, 6): 0.0169491525424, (18, 4): 0.0169491525424, (17, 3): 0.0169491525424, (1, 6): 0.0169491525424, (9, 4): 0.0169491525424, (11, 4): 0.0169491525424, (10, 3): 0.0169491525424, (17, 6): 0.0169491525424, (3, 3): 0.0169491525424, (14, 5): 0.0169491525424, (13, 3): 0.0169491525424, (7, 6): 0.0169491525424, (4, 4): 0.0169491525424, (12, 6): 0.0169491525424, (6, 3): 0.0169491525424, (1, 5): 0.0169491525424, (12, 4): 0.0169491525424, (3, 6): 0.0169491525424, (18, 5): 0.0169491525424, (15, 4): 0.0169491525424, (8, 6): 0.0169491525424, (12, 3): 0.0169491525424, (6, 4): 0.0169491525424, (5, 4): 0.0169491525424, (2, 6): 0.0169491525424, (16, 6): 0.0169491525424, (10, 4): 0.0169491525424, (16, 4): 0.0169491525424, (15, 3): 0.0169491525424, (9, 3): 0.0169491525424, (1, 4): 0.0169491525424, (14, 6): 0.0169491525424, (13, 6): 0.0169491525424, (7, 5): 0.0169491525424, (2, 3): 0.0169491525424, (16, 5): 0.0169491525424, (9, 6): 0.0169491525424, (17, 4): 0.0169491525424, (5, 3): 0.0169491525424, (8, 3): 0.0169491525424, (18, 3): 0.0169491525424, (4, 6): 0.0169491525424, (11, 3): 0.0169491525424, (2, 4): 0.0169491525424, (7, 4): 0.0169491525424, (15, 6): 0.0169491525424, (18, 6): 0.0169491525424, (4, 3): 0.0169491525424, (14, 3): 0.0169491525424, (3, 4): 0.0169491525424, (16, 3): 0.0169491525424, (11, 6): 0.0169491525424, (8, 4): 0.0169491525424, }, {(7, 3): 0.0169491525424, (1, 3): 0.0169491525424, (6, 6): 0.0169491525424, (5, 6): 0.0169491525424, (14, 4): 0.0169491525424, (13, 4): 0.0169491525424, (10, 6): 0.0169491525424, (18, 4): 0.0169491525424, (17, 3): 0.0169491525424, (1, 6): 0.0169491525424, (9, 4): 0.0169491525424, (11, 4): 0.0169491525424, (10, 3): 0.0169491525424, (17, 6): 0.0169491525424, (3, 3): 0.0169491525424, (14, 5): 0.0169491525424, (13, 3): 0.0169491525424, (7, 6): 0.0169491525424, (4, 4): 0.0169491525424, (12, 6): 0.0169491525424, (6, 3): 0.0169491525424, (1, 5): 0.0169491525424, (12, 4): 0.0169491525424, (3, 6): 0.0169491525424, (18, 5): 0.0169491525424, (15, 4): 0.0169491525424, (8, 6): 0.0169491525424, (12, 3): 0.0169491525424, (6, 4): 0.0169491525424, (5, 4): 0.0169491525424, (2, 6): 0.0169491525424, (16, 6): 0.0169491525424, (10, 4): 0.0169491525424, (16, 4): 0.0169491525424, (15, 3): 0.0169491525424, (9, 3): 0.0169491525424, (1, 4): 0.0169491525424, (14, 6): 0.0169491525424, (13, 6): 0.0169491525424, (7, 5): 0.0169491525424, (2, 3): 0.0169491525424, (16, 5): 0.0169491525424, (9, 6): 0.0169491525424, (17, 4): 0.0169491525424, (5, 3): 0.0169491525424, (8, 3): 0.0169491525424, (18, 3): 0.0169491525424, (4, 6): 0.0169491525424, (11, 3): 0.0169491525424, (2, 4): 0.0169491525424, (7, 4): 0.0169491525424, (15, 6): 0.0169491525424, (18, 6): 0.0169491525424, (4, 3): 0.0169491525424, (14, 3): 0.0169491525424, (3, 4): 0.0169491525424, (16, 3): 0.0169491525424, (11, 6): 0.0169491525424, (8, 4): 0.0169491525424, }, {(7, 3): 0.0169491525424, (1, 3): 0.0169491525424, (6, 6): 0.0169491525424, (5, 6): 0.0169491525424, (14, 4): 0.0169491525424, (13, 4): 0.0169491525424, (10, 6): 0.0169491525424, (18, 4): 0.0169491525424, (17, 3): 0.0169491525424, (1, 6): 0.0169491525424, (9, 4): 0.0169491525424, (11, 4): 0.0169491525424, (10, 3): 0.0169491525424, (17, 6): 0.0169491525424, (3, 3): 0.0169491525424, (14, 5): 0.0169491525424, (13, 3): 0.0169491525424, (7, 6): 0.0169491525424, (4, 4): 0.0169491525424, (12, 6): 0.0169491525424, (6, 3): 0.0169491525424, (1, 5): 0.0169491525424, (12, 4): 0.0169491525424, (3, 6): 0.0169491525424, (18, 5): 0.0169491525424, (15, 4): 0.0169491525424, (8, 6): 0.0169491525424, (12, 3): 0.0169491525424, (6, 4): 0.0169491525424, (5, 4): 0.0169491525424, (2, 6): 0.0169491525424, (16, 6): 0.0169491525424, (10, 4): 0.0169491525424, (16, 4): 0.0169491525424, (15, 3): 0.0169491525424, (9, 3): 0.0169491525424, (1, 4): 0.0169491525424, (14, 6): 0.0169491525424, (13, 6): 0.0169491525424, (7, 5): 0.0169491525424, (2, 3): 0.0169491525424, (16, 5): 0.0169491525424, (9, 6): 0.0169491525424, (17, 4): 0.0169491525424, (5, 3): 0.0169491525424, (8, 3): 0.0169491525424, (18, 3): 0.0169491525424, (4, 6): 0.0169491525424, (11, 3): 0.0169491525424, (2, 4): 0.0169491525424, (7, 4): 0.0169491525424, (15, 6): 0.0169491525424, (18, 6): 0.0169491525424, (4, 3): 0.0169491525424, (14, 3): 0.0169491525424, (3, 4): 0.0169491525424, (16, 3): 0.0169491525424, (11, 6): 0.0169491525424, (8, 4): 0.0169491525424, }, {(7, 3): 0.0169491525424, (1, 3): 0.0169491525424, (6, 6): 0.0169491525424, (5, 6): 0.0169491525424, (14, 4): 0.0169491525424, (13, 4): 0.0169491525424, (10, 6): 0.0169491525424, (18, 4): 0.0169491525424, (17, 3): 0.0169491525424, (1, 6): 0.0169491525424, (9, 4): 0.0169491525424, (11, 4): 0.0169491525424, (10, 3): 0.0169491525424, (17, 6): 0.0169491525424, (3, 3): 0.0169491525424, (14, 5): 0.0169491525424, (13, 3): 0.0169491525424, (7, 6): 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+1 Stop [{(7, 3): 0.0529363110008, (1, 3): 0.00330851943755, (6, 6): 0.0132340777502, (5, 6): 0.0066170388751, (14, 4): 0.000827129859388, (13, 4): 0.00165425971878, (10, 6): 0.0529363110008, (18, 4): 0.0, (17, 3): 0.0, (1, 6): 0.0, (9, 4): 0.0264681555004, (11, 4): 0.0066170388751, (10, 3): 0.0066170388751, (17, 6): 0.0, (3, 3): 0.0132340777502, (14, 5): 0.00165425971878, (13, 3): 0.000827129859388, (7, 6): 0.0264681555004, (4, 4): 0.0132340777502, (12, 6): 0.0132340777502, (6, 3): 0.105872622002, (1, 5): 0.000827129859388, (12, 4): 0.00330851943755, (3, 6): 0.00165425971878, (18, 5): 0.0, (15, 4): 0.0, (8, 6): 0.0529363110008, (1, 1): 0.0, (12, 3): 0.00165425971878, (6, 4): 0.0529363110008, (5, 4): 0.0264681555004, (2, 6): 0.000827129859388, (16, 6): 0.000827129859388, (10, 4): 0.0132340777502, (16, 4): 0.0, (15, 3): 0.0, (9, 3): 0.0132340777502, (1, 4): 0.00165425971878, (14, 6): 0.00330851943755, (13, 6): 0.0066170388751, (7, 5): 0.0529363110008, (2, 3): 0.0066170388751, (16, 5): 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+2 East [{(7.0, 3.0): 0.0699448200041, (1.0, 3.0): 0.000205362905956, (6.0, 6.0): 0.00342866764726, (5.0, 6.0): 0.00100002806378, (14.0, 4.0): 1.8304085096e-05, (13.0, 4.0): 5.22336086887e-05, (10.0, 6.0): 0.0640017960821, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.013714670589, (11.0, 4.0): 0.000857166911815, (10.0, 3.0): 0.00117860450374, (17.0, 6.0): 0.0, (3.0, 3.0): 0.00342866764726, (14.0, 5.0): 5.00014031892e-05, (13.0, 3.0): 1.67415412464e-05, (7.0, 6.0): 0.0240006735308, (4.0, 4.0): 0.00471441801498, (12.0, 6.0): 0.00400011225513, (6.0, 3.0): 0.13714670589, (1.0, 5.0): 7.00664504015e-06, (12.0, 4.0): 0.000214291727954, (3.0, 6.0): 5.95254799871e-05, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0617160176506, (1, 1): 0.0, (12.0, 3.0): 7.36627814841e-05, (6.0, 4.0): 0.0699448200041, (5.0, 4.0): 0.0188576720599, (2.0, 6.0): 7.93673066495e-06, (16.0, 6.0): 1.22771302473e-05, (10.0, 4.0): 0.00342866764726, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 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+6 East [{(7.0, 3.0): 0.0822590715778, (1.0, 3.0): 6.63730776304e-06, (6.0, 6.0): 0.00162342011264, (5.0, 6.0): 6.06481916894e-05, (14.0, 4.0): 1.04102545186e-09, (13.0, 4.0): 1.9984409564e-08, (10.0, 6.0): 0.0653788654045, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 3.15661031703e-09, (9.0, 4.0): 0.00602914394096, (11.0, 4.0): 2.90946318511e-05, (10.0, 3.0): 0.000114593348557, (17.0, 6.0): 0.0, (3.0, 3.0): 0.000522516494078, (14.0, 5.0): 4.8685718287e-08, (13.0, 3.0): 1.4435246379e-09, (7.0, 6.0): 0.0194233365204, (4.0, 4.0): 0.00184061813365, (12.0, 6.0): 0.00119560069066, (6.0, 3.0): 0.141880004261, (1.0, 5.0): 6.62410422496e-08, (12.0, 4.0): 1.20850525932e-06, (3.0, 6.0): 1.90700377121e-08, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0698850532731, (1, 1): 0.0, (12.0, 3.0): 9.30222788158e-08, (6.0, 4.0): 0.0855427690063, (5.0, 4.0): 0.0150888955799, (2.0, 6.0): 0.0, (16.0, 6.0): 7.39903837968e-10, (10.0, 4.0): 0.000547393416777, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 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+7 East [{(7.0, 3.0): 0.151245841423, (1.0, 3.0): 2.94066067875e-06, (6.0, 6.0): 0.000549509785205, (5.0, 6.0): 2.84851186834e-05, (14.0, 4.0): 2.17411183947e-09, (13.0, 4.0): 6.24233171646e-08, (10.0, 6.0): 0.127727792418, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 1.17326164566e-09, (9.0, 4.0): 0.04500804814, (11.0, 4.0): 0.000118337988531, (10.0, 3.0): 0.000458774667751, (17.0, 6.0): 9.38181007349e-12, (3.0, 3.0): 0.000162789620259, (14.0, 5.0): 2.16728965259e-07, (13.0, 3.0): 2.90240462693e-09, (7.0, 6.0): 0.0093300158367, (4.0, 4.0): 0.000578380238833, (12.0, 6.0): 0.00636579495036, (6.0, 3.0): 0.0727109584762, (1.0, 5.0): 2.9820944028e-08, (12.0, 4.0): 3.08535752507e-06, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 1.05599701689e-11, (8.0, 6.0): 0.0330943381709, (1, 1): 0.0, (12.0, 3.0): 3.50346184303e-07, (6.0, 4.0): 0.0382912552055, (5.0, 4.0): 0.00766826172468, (2.0, 6.0): 1.7788929348e-11, (16.0, 6.0): 1.66469033279e-09, (10.0, 4.0): 0.002726749052, (16.0, 4.0): 0.0, 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+17 South [{(7.0, 3.0): 0.084132846672, (1.0, 3.0): 7.80842619641e-07, (6.0, 6.0): 0.00130832043793, (5.0, 6.0): 9.48987457919e-05, (14.0, 4.0): 2.90010279448e-11, (13.0, 4.0): 7.67251231952e-10, (10.0, 6.0): 0.0665373482537, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.011068093371, (11.0, 4.0): 9.38473395473e-06, (10.0, 3.0): 4.46879408467e-05, (17.0, 6.0): 0.0, (3.0, 3.0): 0.000431846928798, (14.0, 5.0): 3.77337074273e-09, (13.0, 3.0): 2.85066887683e-11, (7.0, 6.0): 0.0157821951311, (4.0, 4.0): 0.00130932242675, (12.0, 6.0): 0.00096903977197, (6.0, 3.0): 0.166353586686, (1.0, 5.0): 6.00580460669e-10, (12.0, 4.0): 1.00103018131e-07, (3.0, 6.0): 6.40322552725e-08, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.046157432372, (1, 1): 0.0, (12.0, 3.0): 4.90373493455e-09, (6.0, 4.0): 0.0556064193421, (5.0, 4.0): 0.0125451453026, (2.0, 6.0): 1.5016165119e-10, (16.0, 6.0): 2.51503045648e-11, (10.0, 4.0): 0.000338537505855, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 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4.0): 0.0265576503519, (10.0, 3.0): 0.00249902128358, (17.0, 6.0): 7.82779726443e-07, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0112664812232, (13.0, 3.0): 0.274183262866, (7.0, 6.0): 1.00123333807e-10, (4.0, 4.0): 0.0, (12.0, 6.0): 0.00204179223878, (6.0, 3.0): 6.6163626969e-11, (1.0, 5.0): 0.0, (12.0, 4.0): 0.0868969100643, (3.0, 6.0): 0.0, (18.0, 5.0): 2.27200947339e-08, (15.0, 4.0): 0.0111532442657, (8.0, 6.0): 7.25112851199e-08, (12.0, 3.0): 0.164743835197, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (16.0, 6.0): 1.46457004368e-05, (10.0, 4.0): 0.00353831903458, (16.0, 4.0): 0.000935897860271, (15.0, 3.0): 0.00788395654807, (9.0, 3.0): 0.000223514758869, (7, 1): 0.0, (14.0, 6.0): 0.00181570152051, (13.0, 6.0): 0.00120753007158, (7.0, 5.0): 1.00425555122e-11, (2.0, 3.0): 0.0, (1.0, 4.0): 0.0, (16.0, 5.0): 3.73168209485e-05, (9.0, 6.0): 8.95488064366e-06, (17.0, 4.0): 3.15596300129e-05, (5.0, 3.0): 0.0, (8.0, 3.0): 2.96576026033e-06, (18.0, 3.0): 3.04649215228e-07, (4.0, 6.0): 0.0, (11.0, 3.0): 0.035626627818, (2.0, 4.0): 0.0, (7.0, 4.0): 1.84014827415e-09, (15.0, 6.0): 0.000130564886483, (18.0, 6.0): 5.13696844235e-08, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0707409433363, (3.0, 4.0): 0.0, (16.0, 3.0): 0.000385920531816, (11.0, 6.0): 0.000646314311444, (8.0, 4.0): 4.54976421535e-07, }, ]
+22 North [{(7.0, 3.0): 0.00319549603907, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0224560298887, (5.0, 6.0): 0.00166254559819, (14.0, 4.0): 2.2210300081e-07, (13.0, 4.0): 1.27622983656e-05, (10.0, 6.0): 0.0336796430178, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 5.81018878092e-11, (9.0, 4.0): 0.0193984336833, (11.0, 4.0): 0.00747733103246, (10.0, 3.0): 0.0152992666271, (17.0, 6.0): 0.0, (3.0, 3.0): 1.39227460157e-07, (14.0, 5.0): 3.37980732387e-09, (13.0, 3.0): 5.70106364559e-06, (7.0, 6.0): 0.170745355606, (4.0, 4.0): 1.11771245338e-06, (12.0, 6.0): 0.000198370559413, (6.0, 3.0): 0.000430468188772, (1.0, 5.0): 0.0, (12.0, 4.0): 0.000697254259757, (3.0, 6.0): 1.22713667936e-06, (18.0, 5.0): 0.0, (15.0, 4.0): 1.72262090218e-10, (8.0, 6.0): 0.424739188823, (1, 1): 0.0, (12.0, 3.0): 0.000110096042283, (6.0, 4.0): 0.000229612652277, (5.0, 4.0): 1.65791017676e-05, (2.0, 6.0): 1.80745342551e-08, (16.0, 6.0): 0.0, (10.0, 4.0): 0.0284537878676, (16.0, 4.0): 1.45725493538e-13, (15.0, 3.0): 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0.000230988473547, (10.0, 4.0): 1.59537151491e-05, (16.0, 4.0): 0.0364486349843, (15.0, 3.0): 0.0885039597508, (9.0, 3.0): 1.45791844003e-06, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0569641964311, (13.0, 6.0): 0.0360457630628, (7.0, 5.0): 6.67417657746e-14, (2.0, 3.0): 0.0, (16.0, 5.0): 0.00156854143247, (9.0, 6.0): 1.08284936004e-05, (17.0, 4.0): 0.00154785443275, (5.0, 3.0): 0.0, (8.0, 3.0): 3.36934902652e-08, (18.0, 3.0): 9.57802197295e-06, (4.0, 6.0): 0.0, (11.0, 3.0): 0.000842443921546, (2.0, 4.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.00387156419672, (18.0, 6.0): 2.38325996554e-07, (4.0, 3.0): 0.0, (14.0, 3.0): 0.194175698699, (3.0, 4.0): 0.0, (16.0, 3.0): 0.00846210930301, (11.0, 6.0): 0.00206992218924, (8.0, 4.0): 5.64421878306e-09, }, {(7.0, 3.0): 2.09174869994e-08, (1.0, 3.0): 0.0, (6.0, 6.0): 7.01617867599e-13, (5.0, 6.0): 1.49326158097e-16, (14.0, 4.0): 0.165124642987, (13.0, 4.0): 0.141773548898, (10.0, 6.0): 0.000119085254513, (18.0, 4.0): 9.35181984852e-07, (17.0, 3.0): 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+23 South [{(7.0, 3.0): 0.00522930082303, (1.0, 3.0): 4.77251899193e-11, (6.0, 6.0): 0.0533636902948, (5.0, 6.0): 0.00424307152723, (14.0, 4.0): 5.32196970618e-08, (13.0, 4.0): 5.88377349508e-06, (10.0, 6.0): 0.0194101562145, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 1.98491540184e-10, (9.0, 4.0): 0.0116479207473, (11.0, 4.0): 0.00127268941534, (10.0, 3.0): 0.00265133311886, (17.0, 6.0): 0.0, (3.0, 3.0): 1.94238991586e-07, (14.0, 5.0): 2.34484185027e-09, (13.0, 3.0): 5.2832476303e-07, (7.0, 6.0): 0.420017208804, (4.0, 4.0): 1.3484611791e-06, (12.0, 6.0): 7.11974160838e-05, (6.0, 3.0): 0.00205081449181, (1.0, 5.0): 0.0, (12.0, 4.0): 0.000136389437505, (3.0, 6.0): 3.62329415789e-06, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.258610787574, (1, 1): 0.0, (12.0, 3.0): 2.3814729385e-05, (6.0, 4.0): 0.000842931075131, (5.0, 4.0): 3.82157351769e-05, (2.0, 6.0): 2.72917696107e-08, (16.0, 6.0): 0.0, (10.0, 4.0): 0.00464385193801, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 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+29 Stop [{(7.0, 3.0): 0.00573223702671, (1.0, 3.0): 2.44366873777e-12, (6.0, 6.0): 0.000112790897239, (5.0, 6.0): 3.76937561124e-06, (14.0, 4.0): 1.67936049051e-08, (13.0, 4.0): 5.54563240748e-07, (10.0, 6.0): 0.266800611481, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0104533481696, (11.0, 4.0): 0.000236924297195, (10.0, 3.0): 0.000603716921769, (17.0, 6.0): 1.21518947249e-12, (3.0, 3.0): 8.97951629855e-08, (14.0, 5.0): 5.84495797833e-07, (13.0, 3.0): 7.43577201963e-08, (7.0, 6.0): 0.00293738944487, (4.0, 4.0): 9.50489192277e-07, (12.0, 6.0): 0.110009109355, (6.0, 3.0): 0.00125392820343, (1.0, 5.0): 0.0, (12.0, 4.0): 1.48207310047e-05, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 1.55666185864e-10, (8.0, 6.0): 0.0200943638039, (1, 1): 0.0, (12.0, 3.0): 2.1330180388e-06, (6.0, 4.0): 0.000439365406269, (5.0, 4.0): 5.09066544561e-05, (2.0, 6.0): 0.0, (16.0, 6.0): 1.33749978874e-09, (10.0, 4.0): 0.00268415759908, (16.0, 4.0): 1.39385223998e-12, (15.0, 3.0): 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+70 North [{(7.0, 3.0): 2.65918133539e-08, (1.0, 3.0): 0.0, (6.0, 6.0): 0.000136981549516, (5.0, 6.0): 1.07234365355e-06, (14.0, 4.0): 0.00111631894621, (13.0, 4.0): 0.00381404232709, (10.0, 6.0): 0.279868465621, (18.0, 4.0): 0.0, (17.0, 3.0): 3.5786077199e-07, (1.0, 6.0): 0.0, (9.0, 4.0): 0.000180859182682, (11.0, 4.0): 0.00563438624587, (10.0, 3.0): 0.00169008368945, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.000344515573171, (13.0, 3.0): 0.00585052764962, (7.0, 6.0): 0.0169350158193, (4.0, 4.0): 9.20639361596e-15, (12.0, 6.0): 0.0385156833815, (6.0, 3.0): 1.57265996969e-10, (1.0, 5.0): 0.0, (12.0, 4.0): 0.00492962443141, (3.0, 6.0): 1.95002028853e-11, (18.0, 5.0): 0.0, (15.0, 4.0): 0.000160160862971, (8.0, 6.0): 0.0985589169056, (1, 1): 0.0, (12.0, 3.0): 0.0116988912149, (6.0, 4.0): 3.43066181449e-09, (5.0, 4.0): 8.84829285852e-12, (2.0, 6.0): 1.07319529896e-13, (16.0, 6.0): 0.0, (10.0, 4.0): 0.00114467038867, (16.0, 4.0): 1.19898020513e-05, (15.0, 3.0): 0.000303646449036, 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+101 None [{(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.00191232637118, (13.0, 4.0): 4.17555693904e-05, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0254405333771, (17.0, 3.0): 0.0262979162134, (1.0, 6.0): 0.0, (9.0, 4.0): 4.71905983983e-13, (11.0, 4.0): 8.62901586603e-09, (10.0, 3.0): 2.05936988172e-09, (17.0, 6.0): 0.0242395680092, (3.0, 3.0): 0.0, (14.0, 5.0): 2.84188091143e-05, (13.0, 3.0): 0.000677977645078, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 6.51129966569e-11, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (12.0, 4.0): 6.94700287547e-07, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0522927243748, (15.0, 4.0): 0.05555095963, (8.0, 6.0): 0.0, (1, 1): 0.0, (12.0, 3.0): 1.39498670799e-05, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (16.0, 6.0): 0.00164992404026, (10.0, 4.0): 7.73916783836e-11, (16.0, 4.0): 0.317826137737, (15.0, 3.0): 0.144576565785, (9.0, 3.0): 1.57912125771e-11, (1.0, 4.0): 0.0, (14.0, 6.0): 8.69253274763e-07, (13.0, 6.0): 7.42109115679e-09, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (16.0, 5.0): 0.0331947727232, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0883664928297, (5.0, 3.0): 0.0, (8.0, 3.0): 8.42610681713e-14, (18.0, 3.0): 0.0033598983928, (4.0, 6.0): 0.0, (11.0, 3.0): 1.92885826964e-07, (2.0, 4.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 2.89702658242e-05, (18.0, 6.0): 0.13729344351, (4.0, 3.0): 0.0, (14.0, 3.0): 0.024142590951, (3.0, 4.0): 0.0, (16.0, 3.0): 0.0630632987911, (11.0, 6.0): 4.08270183264e-13, (8.0, 4.0): 0.0, }, {(7.0, 3.0): 0.0, (1.0, 3.0): 0.0, (6.0, 6.0): 0.0, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.0, (9.0, 4.0): 0.0, (11.0, 4.0): 0.0, (10.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0, (4.0, 4.0): 0.0, (12.0, 6.0): 0.0, (6.0, 3.0): 0.0, (1.0, 5.0): 0.0, (12.0, 4.0): 0.0, (3.0, 6.0): 0.0, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0, (12.0, 3.0): 0.0, (6.0, 4.0): 0.0, (5.0, 4.0): 0.0, (2.0, 6.0): 0.0, (16.0, 6.0): 0.0, (10.0, 4.0): 0.0, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0, (1.0, 4.0): 0.0, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0, (2.0, 3.0): 0.0, (16.0, 5.0): 0.0, (9.0, 6.0): 0.0, (17.0, 4.0): 0.0, (5.0, 3.0): 0.0, (8.0, 3.0): 0.0, (18.0, 3.0): 0.0, (4.0, 6.0): 0.0, (3, 1): 1.0, (11.0, 3.0): 0.0, (2.0, 4.0): 0.0, (7.0, 4.0): 0.0, (15.0, 6.0): 0.0, (18.0, 6.0): 0.0, (4.0, 3.0): 0.0, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0, (16.0, 3.0): 0.0, (11.0, 6.0): 0.0, (8.0, 4.0): 0.0, }, {(7.0, 3.0): 0.00622801433754, (1.0, 3.0): 0.00021746030938, (11.0, 4.0): 0.0, (6.0, 6.0): 0.0234079818645, (5.0, 6.0): 0.0, (14.0, 4.0): 0.0, (13.0, 4.0): 0.0, (10.0, 6.0): 0.0035002122514, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 0.00197057789263, (9.0, 4.0): 0.000140236083058, (5, 1): 0.0, (10.0, 3.0): 0.0, (17.0, 6.0): 0.0, (3.0, 3.0): 0.0163319262822, (14.0, 5.0): 0.0, (13.0, 3.0): 0.0, (7.0, 6.0): 0.0601594304521, (4.0, 4.0): 0.255191319438, (12.0, 6.0): 5.19724351917e-06, (6.0, 3.0): 0.0271446418803, (1.0, 5.0): 0.00144034769192, (12.0, 4.0): 0.0, (3.0, 6.0): 9.51393011784e-06, (18.0, 5.0): 0.0, (15.0, 4.0): 0.0, (8.0, 6.0): 0.0762455396607, (12.0, 3.0): 0.0, (6.0, 4.0): 0.110046012263, (5.0, 4.0): 0.0628314183619, (2.0, 6.0): 0.000942028752347, (16.0, 6.0): 0.0, (10.0, 4.0): 2.65940785553e-06, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 1.09574380908e-05, (1.0, 4.0): 0.0010179915281, (14.0, 6.0): 0.0, (13.0, 6.0): 0.0, (7.0, 5.0): 0.0676041087999, (2.0, 3.0): 0.00185359080476, (16.0, 5.0): 0.0, (9.0, 6.0): 0.0197958980799, (17.0, 4.0): 0.0, (5.0, 3.0): 0.105515507477, (8.0, 3.0): 0.000450644691755, (18.0, 3.0): 0.0, (4.0, 6.0): 0.0, (11.0, 3.0): 0.0, (2.0, 4.0): 0.00849716317002, (7.0, 4.0): 0.0270041606678, (15.0, 6.0): 0.0, (18.0, 6.0): 0.0, (4.0, 3.0): 0.0745251700187, (14.0, 3.0): 0.0, (3.0, 4.0): 0.0448562606051, (16.0, 3.0): 0.0, (11.0, 6.0): 0.000213178632215, (8.0, 4.0): 0.00284084998455, }, {(7.0, 3.0): 0.130767527202, (1.0, 3.0): 2.95312725678e-08, (6.0, 6.0): 1.25642677596e-07, (5.0, 6.0): 0.0, (14.0, 4.0): 3.75034142021e-07, (13.0, 4.0): 5.79263873103e-05, (10.0, 6.0): 5.25411466511e-05, (18.0, 4.0): 0.0, (17.0, 3.0): 0.0, (1.0, 6.0): 1.80875393634e-13, (9.0, 4.0): 0.219025680076, (11.0, 4.0): 0.0135262213439, (10.0, 3.0): 0.0251781436889, (17.0, 6.0): 1.07824614398e-12, (3.0, 3.0): 5.79930994669e-06, (14.0, 5.0): 5.70094192646e-08, (13.0, 3.0): 2.12517721081e-06, (7.0, 6.0): 5.56536513956e-06, (4.0, 4.0): 7.29197776958e-07, (12.0, 6.0): 2.25528014732e-05, (6.0, 3.0): 0.00524822061541, (1.0, 5.0): 5.71827198306e-11, (12.0, 4.0): 0.00130413595831, (3.0, 6.0): 3.1873944837e-20, (18.0, 5.0): 0.0, (15.0, 4.0): 1.06488959189e-09, (8.0, 6.0): 1.25678176528e-06, (12.0, 3.0): 0.000272155505927, (6.0, 4.0): 0.000417053807828, (5.0, 4.0): 7.85254394567e-06, (2.0, 6.0): 1.08463249466e-16, (16.0, 6.0): 3.38504653678e-10, (10.0, 4.0): 0.0886199448867, (16.0, 4.0): 0.0, (15.0, 3.0): 0.0, (9.0, 3.0): 0.0819205121596, (7, 1): 0.0, (14.0, 6.0): 9.34449187907e-07, (13.0, 6.0): 5.60336835422e-06, (7.0, 5.0): 0.00028590175656, (2.0, 3.0): 3.48964645274e-07, (1.0, 4.0): 4.55905818327e-09, (16.0, 5.0): 1.10178948746e-12, (9.0, 6.0): 3.19445873134e-06, (17.0, 4.0): 0.0, (5.0, 3.0): 0.000139468547377, (8.0, 3.0): 0.135078774398, (18.0, 3.0): 0.0, (4.0, 6.0): 0.0, (11.0, 3.0): 0.00460373886355, (2.0, 4.0): 4.41439091972e-08, (7.0, 4.0): 0.0145612565514, (15.0, 6.0): 3.95252520976e-08, (18.0, 6.0): 0.0, (4.0, 3.0): 8.87432256557e-06, (14.0, 3.0): 8.4194586599e-09, (3.0, 4.0): 1.86558930844e-07, (16.0, 3.0): 0.0, (11.0, 6.0): 4.34029180496e-05, (8.0, 4.0): 0.278831685558, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q4/2-ExactFull.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/2-ExactFull.test
new file mode 100644
index 0000000..ace154f
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/2-ExactFull.test	
@@ -0,0 +1,28 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%P      G       G  %
+% %%%%% %%%%%% % % %
+%     G            %
+%          G       %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "100"
+
+numGhosts: "4"
+
+errorMsg: "Exact inference full test: %d inference errors."
+ghost: "SeededRandomGhostAgent"
+inference: "ExactInference"
+L2Tolerance: "0.0001"
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q4/3-gameScoreTest.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/3-gameScoreTest.solution
new file mode 100644
index 0000000..e138d27
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/3-gameScoreTest.solution	
@@ -0,0 +1 @@
+# You must win at least 8/10 games with at least 700 points
\ No newline at end of file
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q4/3-gameScoreTest.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/3-gameScoreTest.test
new file mode 100644
index 0000000..1ffff00
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/3-gameScoreTest.test	
@@ -0,0 +1,25 @@
+class: "GameScoreTest"
+
+numRuns: "10"
+numWinsForCredit: "8"
+layout_name: "smallHunt"
+min_score: "700"
+
+layout_str: """
+%%%%%%%%%%%%%%%%%%%%
+%P      G       G  %
+% %%%%% %%%%%% % % %
+%     G            %
+%          G       %
+%%%%%%%%%%%%%%%%%%%%
+% % % % %%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+elapse: "True"
+inference: "ExactInference"
+maxMoves: "100"
+numGhosts: "4"
+
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q4/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/CONFIG
new file mode 100644
index 0000000..4e53766
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q4/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q5/1-ParticleInit.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q5/1-ParticleInit.solution
new file mode 100644
index 0000000..294e36b
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q5/1-ParticleInit.solution	
@@ -0,0 +1,6 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+1 Stop [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+2 None [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q5/1-ParticleInit.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q5/1-ParticleInit.test
new file mode 100644
index 0000000..48afff7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q5/1-ParticleInit.test	
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%   %G%   %
+%%%%%%%%%%%
+%%%%%P%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "False"
+
+checkUniform: "True"
+maxMoves: "1"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter initialization test: %d inference errors."
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q5/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q5/CONFIG
new file mode 100644
index 0000000..4e53766
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q5/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/1-ParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/1-ParticleUpdate.solution
new file mode 100644
index 0000000..7ddc6bf
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/1-ParticleUpdate.solution	
@@ -0,0 +1,55 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 4): 0.125, (3, 4): 0.125, (1, 4): 0.125, (7, 4): 0.125, (9, 4): 0.125, (5, 2): 0.125, (2, 4): 0.125, (8, 4): 0.125, }, ]
+1 Stop [{(5, 4): 0.222222222222, (5, 2): 0.0, (1, 4): 0.0555555555556, (2, 4): 0.111111111111, (7, 4): 0.222222222222, (9, 4): 0.0555555555556, (3, 4): 0.222222222222, (1, 1): 0.0, (8, 4): 0.111111111111, }, ]
+2 Stop [{(5, 4): 0.603773584906, (5, 2): 0.0, (1, 4): 0.00943396226415, (2, 4): 0.0377358490566, (7, 4): 0.150943396226, (9, 4): 0.00943396226415, (3, 4): 0.150943396226, (1, 1): 0.0, (8, 4): 0.0377358490566, }, ]
+3 Stop [{(5, 4): 0.304761904762, (5, 2): 0.0, (1, 4): 0.0047619047619, (2, 4): 0.0380952380952, (7, 4): 0.304761904762, (9, 4): 0.0047619047619, (3, 4): 0.304761904762, (1, 1): 0.0, (8, 4): 0.0380952380952, }, ]
+4 Stop [{(5, 4): 0.104918032787, (5, 2): 0.0, (1, 4): 0.0016393442623, (2, 4): 0.0262295081967, (7, 4): 0.419672131148, (9, 4): 0.0016393442623, (3, 4): 0.419672131148, (1, 1): 0.0, (8, 4): 0.0262295081967, }, ]
+5 Stop [{(5, 4): 0.326322498407, (5, 2): 0.0, (1, 4): 0.00031867431485, (2, 4): 0.0101975780752, (7, 4): 0.326322498407, (9, 4): 0.00031867431485, (3, 4): 0.326322498407, (1, 1): 0.0, (8, 4): 0.0101975780752, }, ]
+6 Stop [{(5, 4): 0.329843775165, (5, 2): 0.0, (1, 4): 8.05282654212e-05, (2, 4): 0.00515380898695, (7, 4): 0.329843775165, (9, 4): 8.05282654212e-05, (3, 4): 0.329843775165, (1, 1): 0.0, (8, 4): 0.00515380898695, }, ]
+7 Stop [{(5, 4): 0.664921572208, (5, 2): 0.0, (1, 4): 1.01458980134e-05, (2, 4): 0.00129867494572, (7, 4): 0.166230393052, (9, 4): 1.01458980134e-05, (3, 4): 0.166230393052, (1, 1): 0.0, (8, 4): 0.00129867494572, }, ]
+8 Stop [{(5, 4): 0.888501748065, (5, 2): 0.0, (1, 4): 8.47341297212e-07, (2, 4): 0.000216919372086, (7, 4): 0.0555313592541, (9, 4): 8.47341297212e-07, (3, 4): 0.0555313592541, (1, 1): 0.0, (8, 4): 0.000216919372086, }, ]
+9 Stop [{(5, 4): 0.888695652911, (5, 2): 0.0, (1, 4): 2.11881554821e-07, (2, 4): 0.000108483356068, (7, 4): 0.0555434783069, (9, 4): 2.11881554821e-07, (3, 4): 0.0555434783069, (1, 1): 0.0, (8, 4): 0.000108483356068, }, ]
+10 Stop [{(5, 4): 0.969668246473, (5, 2): 0.0, (1, 4): 1.44491828452e-08, (2, 4): 1.47959632335e-05, (7, 4): 0.0151510663511, (9, 4): 1.44491828452e-08, (3, 4): 0.0151510663511, (1, 1): 0.0, (8, 4): 1.47959632335e-05, }, ]
+11 Stop [{(5, 4): 0.992244304412, (5, 2): 0.0, (1, 4): 9.24099520232e-10, (2, 4): 1.89255581744e-06, (7, 4): 0.00387595431411, (9, 4): 9.24099520232e-10, (3, 4): 0.00387595431411, (1, 1): 0.0, (8, 4): 1.89255581744e-06, }, ]
+12 Stop [{(5, 4): 0.998050207166, (5, 2): 0.0, (1, 4): 5.80941680333e-11, (2, 4): 2.37953712264e-07, (7, 4): 0.000974658405435, (9, 4): 5.80941680333e-11, (3, 4): 0.000974658405435, (1, 1): 0.0, (8, 4): 2.37953712264e-07, }, ]
+13 Stop [{(5, 4): 0.998050444742, (5, 2): 0.0, (1, 4): 1.45235454655e-11, (2, 4): 1.18976884454e-07, (7, 4): 0.000974658637444, (9, 4): 1.45235454655e-11, (3, 4): 0.000974658637444, (1, 1): 0.0, (8, 4): 1.18976884454e-07, }, ]
+14 Stop [{(5, 4): 0.999511927277, (5, 2): 0.0, (1, 4): 9.09050802217e-13, (2, 4): 1.48938883435e-08, (7, 4): 0.00024402146662, (9, 4): 9.09050802217e-13, (3, 4): 0.00024402146662, (1, 1): 0.0, (8, 4): 1.48938883435e-08, }, ]
+15 Stop [{(5, 4): 0.999877940862, (5, 2): 0.0, (1, 4): 5.68364806021e-14, (2, 4): 1.86241779637e-09, (7, 4): 6.10277063515e-05, (9, 4): 5.68364806021e-14, (3, 4): 6.10277063515e-05, (1, 1): 0.0, (8, 4): 1.86241779637e-09, }, ]
+16 Stop [{(5, 4): 0.999969482888, (5, 2): 0.0, (1, 4): 3.55260526024e-15, (2, 4): 2.32823538335e-10, (7, 4): 1.52583234083e-05, (9, 4): 3.55260526024e-15, (3, 4): 1.52583234083e-05, (1, 1): 0.0, (8, 4): 2.32823538335e-10, }, ]
+17 Stop [{(5, 4): 0.999992370605, (5, 2): 0.0, (1, 4): 2.22042910859e-16, (2, 4): 2.91036084121e-11, (7, 4): 3.81466816179e-06, (9, 4): 2.22042910859e-16, (3, 4): 3.81466816179e-06, (1, 1): 0.0, (8, 4): 2.91036084121e-11, }, ]
+18 Stop [{(5, 4): 0.999998092648, (5, 2): 0.0, (1, 4): 1.3877761338e-17, (2, 4): 3.63797186818e-12, (7, 4): 9.53672497413e-07, (9, 4): 1.3877761338e-17, (3, 4): 9.53672497413e-07, (1, 1): 0.0, (8, 4): 3.63797186818e-12, }, ]
+19 Stop [{(5, 4): 0.999998092651, (5, 2): 0.0, (1, 4): 3.46944033451e-18, (2, 4): 1.8189859341e-12, (7, 4): 9.53672497417e-07, (9, 4): 3.46944033451e-18, (3, 4): 9.53672497417e-07, (1, 1): 0.0, (8, 4): 1.8189859341e-12, }, ]
+20 Stop [{(5, 4): 0.999992370656, (5, 2): 0.0, (1, 4): 3.46942048235e-18, (2, 4): 3.6379510517e-12, (7, 4): 3.81466816199e-06, (9, 4): 3.46942048235e-18, (3, 4): 3.81466816199e-06, (1, 1): 0.0, (8, 4): 3.6379510517e-12, }, ]
+21 Stop [{(5, 4): 0.999998092654, (5, 2): 0.0, (1, 4): 2.16840020907e-19, (2, 4): 4.54746483526e-13, (7, 4): 9.53672497419e-07, (9, 4): 2.16840020907e-19, (3, 4): 9.53672497419e-07, (1, 1): 0.0, (8, 4): 4.54746483526e-13, }, ]
+22 Stop [{(5, 4): 0.999992370656, (5, 2): 0.0, (1, 4): 3.46942048235e-18, (2, 4): 3.6379510517e-12, (7, 4): 3.81466816199e-06, (9, 4): 3.46942048235e-18, (3, 4): 3.81466816199e-06, (1, 1): 0.0, (8, 4): 3.6379510517e-12, }, ]
+23 Stop [{(5, 4): 0.99999237066, (5, 2): 0.0, (1, 4): 8.67355120591e-19, (2, 4): 1.81897552586e-12, (7, 4): 3.814668162e-06, (9, 4): 8.67355120591e-19, (3, 4): 3.814668162e-06, (1, 1): 0.0, (8, 4): 1.81897552586e-12, }, ]
+24 Stop [{(5, 4): 0.999998092655, (5, 2): 0.0, (1, 4): 5.42100052269e-20, (2, 4): 2.27373241763e-13, (7, 4): 9.5367249742e-07, (9, 4): 5.42100052269e-20, (3, 4): 9.5367249742e-07, (1, 1): 0.0, (8, 4): 2.27373241763e-13, }, ]
+25 Stop [{(5, 4): 0.999998092655, (5, 2): 0.0, (1, 4): 1.35525013067e-20, (2, 4): 1.13686620882e-13, (7, 4): 9.5367249742e-07, (9, 4): 1.35525013067e-20, (3, 4): 9.5367249742e-07, (1, 1): 0.0, (8, 4): 1.13686620882e-13, }, ]
+26 Stop [{(5, 4): 0.999999523163, (5, 2): 0.0, (1, 4): 8.47032543358e-22, (2, 4): 1.42108479389e-14, (7, 4): 2.38418465415e-07, (9, 4): 8.47032543358e-22, (3, 4): 2.38418465415e-07, (1, 1): 0.0, (8, 4): 1.42108479389e-14, }, ]
+27 Stop [{(5, 4): 0.999999880791, (5, 2): 0.0, (1, 4): 5.29395528925e-23, (2, 4): 1.77635662764e-15, (7, 4): 5.960463767e-08, (9, 4): 5.29395528925e-23, (3, 4): 5.960463767e-08, (1, 1): 0.0, (8, 4): 1.77635662764e-15, }, ]
+28 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 3.3087223516e-24, (2, 4): 2.22044598308e-16, (7, 4): 1.49011607498e-08, (9, 4): 3.3087223516e-24, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 2.22044598308e-16, }, ]
+29 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 8.27180587901e-25, (2, 4): 1.11022299154e-16, (7, 4): 1.49011607498e-08, (9, 4): 8.27180587901e-25, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 1.11022299154e-16, }, ]
+30 Stop [{(5, 4): 0.999999992549, (5, 2): 0.0, (1, 4): 5.16987878994e-26, (2, 4): 1.38777877044e-17, (7, 4): 3.72529027071e-09, (9, 4): 5.16987878994e-26, (3, 4): 3.72529027071e-09, (1, 1): 0.0, (8, 4): 1.38777877044e-17, }, ]
+31 Stop [{(5, 4): 0.999999970198, (5, 2): 0.0, (1, 4): 2.06795146975e-25, (2, 4): 1.11022299154e-16, (7, 4): 1.49011607498e-08, (9, 4): 2.06795146975e-25, (3, 4): 1.49011607498e-08, (1, 1): 0.0, (8, 4): 1.11022299154e-16, }, ]
+32 Stop [{(5, 4): 0.999999992549, (5, 2): 0.0, (1, 4): 1.29246969748e-26, (2, 4): 1.38777877044e-17, (7, 4): 3.72529027071e-09, (9, 4): 1.29246969748e-26, (3, 4): 3.72529027071e-09, (1, 1): 0.0, (8, 4): 1.38777877044e-17, }, ]
+33 Stop [{(5, 4): 0.999999998137, (5, 2): 0.0, (1, 4): 8.07793565442e-28, (2, 4): 1.73472347275e-18, (7, 4): 9.31322572881e-10, (9, 4): 8.07793565442e-28, (3, 4): 9.31322572881e-10, (1, 1): 0.0, (8, 4): 1.73472347275e-18, }, ]
+34 Stop [{(5, 4): 0.999999999534, (5, 2): 0.0, (1, 4): 5.04870979106e-29, (2, 4): 2.16840434396e-19, (7, 4): 2.32830643545e-10, (9, 4): 5.04870979106e-29, (3, 4): 2.32830643545e-10, (1, 1): 0.0, (8, 4): 2.16840434396e-19, }, ]
+35 Stop [{(5, 4): 0.999999999884, (5, 2): 0.0, (1, 4): 3.15544362052e-30, (2, 4): 2.7105054309e-20, (7, 4): 5.82076609067e-11, (9, 4): 3.15544362052e-30, (3, 4): 5.82076609067e-11, (1, 1): 0.0, (8, 4): 2.7105054309e-20, }, ]
+36 Stop [{(5, 4): 0.999999999971, (5, 2): 0.0, (1, 4): 1.972152263e-31, (2, 4): 3.38813178892e-21, (7, 4): 1.45519152279e-11, (9, 4): 1.972152263e-31, (3, 4): 1.45519152279e-11, (1, 1): 0.0, (8, 4): 3.38813178892e-21, }, ]
+37 Stop [{(5, 4): 0.999999999993, (5, 2): 0.0, (1, 4): 1.2325951644e-32, (2, 4): 4.23516473624e-22, (7, 4): 3.63797880707e-12, (9, 4): 1.2325951644e-32, (3, 4): 3.63797880707e-12, (1, 1): 0.0, (8, 4): 4.23516473624e-22, }, ]
+38 Stop [{(5, 4): 0.999999999993, (5, 2): 0.0, (1, 4): 3.081487911e-33, (2, 4): 2.11758236812e-22, (7, 4): 3.63797880707e-12, (9, 4): 3.081487911e-33, (3, 4): 3.63797880707e-12, (1, 1): 0.0, (8, 4): 2.11758236812e-22, }, ]
+39 Stop [{(5, 4): 0.999999999998, (5, 2): 0.0, (1, 4): 1.92592994438e-34, (2, 4): 2.64697796016e-23, (7, 4): 9.09494701771e-13, (9, 4): 1.92592994438e-34, (3, 4): 9.09494701771e-13, (1, 1): 0.0, (8, 4): 2.64697796016e-23, }, ]
+40 Stop [{(5, 4): 0.999999999998, (5, 2): 0.0, (1, 4): 4.81482486096e-35, (2, 4): 1.32348898008e-23, (7, 4): 9.09494701771e-13, (9, 4): 4.81482486096e-35, (3, 4): 9.09494701771e-13, (1, 1): 0.0, (8, 4): 1.32348898008e-23, }, ]
+41 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 3.0092655381e-36, (2, 4): 1.65436122511e-24, (7, 4): 2.27373675443e-13, (9, 4): 3.0092655381e-36, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 1.65436122511e-24, }, ]
+42 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.88079096132e-37, (2, 4): 2.06795153138e-25, (7, 4): 5.68434188608e-14, (9, 4): 1.88079096132e-37, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 2.06795153138e-25, }, ]
+43 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.52316384526e-37, (2, 4): 1.65436122511e-24, (7, 4): 2.27373675443e-13, (9, 4): 7.52316384526e-37, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 1.65436122511e-24, }, ]
+44 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.88079096131e-37, (2, 4): 8.27180612553e-25, (7, 4): 2.27373675443e-13, (9, 4): 1.88079096131e-37, (3, 4): 2.27373675443e-13, (1, 1): 0.0, (8, 4): 8.27180612553e-25, }, ]
+45 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.17549435082e-38, (2, 4): 1.03397576569e-25, (7, 4): 5.68434188608e-14, (9, 4): 1.17549435082e-38, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 1.03397576569e-25, }, ]
+46 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.34683969264e-40, (2, 4): 1.29246970711e-26, (7, 4): 1.42108547152e-14, (9, 4): 7.34683969264e-40, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 1.29246970711e-26, }, ]
+47 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 7.34683969264e-40, (2, 4): 2.58493941423e-26, (7, 4): 5.68434188608e-14, (9, 4): 7.34683969264e-40, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 2.58493941423e-26, }, ]
+48 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 4.5917748079e-41, (2, 4): 3.23117426779e-27, (7, 4): 1.42108547152e-14, (9, 4): 4.5917748079e-41, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 3.23117426779e-27, }, ]
+49 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.14794370197e-41, (2, 4): 1.61558713389e-27, (7, 4): 1.42108547152e-14, (9, 4): 1.14794370197e-41, (3, 4): 1.42108547152e-14, (1, 1): 0.0, (8, 4): 1.61558713389e-27, }, ]
+50 Stop [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 1.83670992316e-40, (2, 4): 1.29246970711e-26, (7, 4): 5.68434188608e-14, (9, 4): 1.83670992316e-40, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 1.29246970711e-26, }, ]
+51 None [{(5, 4): 1.0, (5, 2): 0.0, (1, 4): 4.5917748079e-41, (2, 4): 6.46234853557e-27, (7, 4): 5.68434188608e-14, (9, 4): 4.5917748079e-41, (3, 4): 5.68434188608e-14, (1, 1): 0.0, (8, 4): 6.46234853557e-27, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/1-ParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/1-ParticleUpdate.test
new file mode 100644
index 0000000..148c17c
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/1-ParticleUpdate.test	
@@ -0,0 +1,26 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%   %G%   %
+%%%%%%%%%%%
+%%%%%P%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "50"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter observe test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/2-ParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/2-ParticleUpdate.solution
new file mode 100644
index 0000000..6bb0764
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/2-ParticleUpdate.solution	
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.0714285714286, (2, 9): 0.0714285714286, (5, 6): 0.0714285714286, (2, 8): 0.0714285714286, (9, 8): 0.0714285714286, (9, 3): 0.0714285714286, (9, 9): 0.0714285714286, (1, 4): 0.0714285714286, (8, 9): 0.0714285714286, (1, 8): 0.0714285714286, (8, 8): 0.0714285714286, (2, 3): 0.0714285714286, (1, 9): 0.0714285714286, (2, 4): 0.0714285714286, }, ]
+1 Stop [{(1, 3): 0.129032258065, (2, 9): 0.0645161290323, (5, 6): 0.0, (2, 8): 0.0322580645161, (9, 8): 0.0645161290323, (9, 3): 0.129032258065, (9, 9): 0.129032258065, (1, 4): 0.0645161290323, (2, 4): 0.0322580645161, (8, 9): 0.0645161290323, (1, 8): 0.0645161290323, (8, 8): 0.0322580645161, (2, 3): 0.0645161290323, (1, 9): 0.129032258065, (1, 1): 0.0, }, ]
+2 Stop [{(1, 3): 0.0769230769231, (2, 9): 0.0769230769231, (5, 6): 0.0, (2, 8): 0.0769230769231, (9, 8): 0.0769230769231, (9, 3): 0.0769230769231, (9, 9): 0.0769230769231, (1, 4): 0.0769230769231, (2, 4): 0.0769230769231, (8, 9): 0.0769230769231, (1, 8): 0.0769230769231, (8, 8): 0.0769230769231, (2, 3): 0.0769230769231, (1, 9): 0.0769230769231, (1, 1): 0.0, }, ]
+3 Stop [{(1, 3): 0.129032258065, (2, 9): 0.0645161290323, (5, 6): 0.0, (2, 8): 0.0322580645161, (9, 8): 0.0645161290323, (9, 3): 0.129032258065, (9, 9): 0.129032258065, (1, 4): 0.0645161290323, (2, 4): 0.0322580645161, (8, 9): 0.0645161290323, (1, 8): 0.0645161290323, (8, 8): 0.0322580645161, (2, 3): 0.0645161290323, (1, 9): 0.129032258065, (1, 1): 0.0, }, ]
+4 Stop [{(1, 3): 0.175824175824, (2, 9): 0.043956043956, (5, 6): 0.0, (2, 8): 0.010989010989, (9, 8): 0.043956043956, (9, 3): 0.175824175824, (9, 9): 0.175824175824, (1, 4): 0.043956043956, (2, 4): 0.010989010989, (8, 9): 0.043956043956, (1, 8): 0.043956043956, (8, 8): 0.010989010989, (2, 3): 0.043956043956, (1, 9): 0.175824175824, (1, 1): 0.0, }, ]
+5 Stop [{(1, 3): 0.208469055375, (2, 9): 0.0260586319218, (5, 6): 0.0, (2, 8): 0.00325732899023, (9, 8): 0.0260586319218, (9, 3): 0.208469055375, (9, 9): 0.208469055375, (1, 4): 0.0260586319218, (2, 4): 0.00325732899023, (8, 9): 0.0260586319218, (1, 8): 0.0260586319218, (8, 8): 0.00325732899023, (2, 3): 0.0260586319218, (1, 9): 0.208469055375, (1, 1): 0.0, }, ]
+6 Stop [{(1, 3): 0.227960819234, (2, 9): 0.0142475512021, (5, 6): 0.0, (2, 8): 0.000890471950134, (9, 8): 0.0142475512021, (9, 3): 0.227960819234, (9, 9): 0.227960819234, (1, 4): 0.0142475512021, (2, 4): 0.000890471950134, (8, 9): 0.0142475512021, (1, 8): 0.0142475512021, (8, 8): 0.000890471950134, (2, 3): 0.0142475512021, (1, 9): 0.227960819234, (1, 1): 0.0, }, ]
+7 Stop [{(1, 3): 0.208469055375, (2, 9): 0.0260586319218, (5, 6): 0.0, (2, 8): 0.00325732899023, (9, 8): 0.0260586319218, (9, 3): 0.208469055375, (9, 9): 0.208469055375, (1, 4): 0.0260586319218, (2, 4): 0.00325732899023, (8, 9): 0.0260586319218, (1, 8): 0.0260586319218, (8, 8): 0.00325732899023, (2, 3): 0.0260586319218, (1, 9): 0.208469055375, (1, 1): 0.0, }, ]
+8 Stop [{(1, 3): 0.180281690141, (2, 9): 0.0450704225352, (5, 6): 0.0, (2, 8): 0.00281690140845, (9, 8): 0.0450704225352, (9, 3): 0.180281690141, (9, 9): 0.180281690141, (1, 4): 0.0450704225352, (2, 4): 0.00281690140845, (8, 9): 0.0450704225352, (1, 8): 0.0450704225352, (8, 8): 0.00281690140845, (2, 3): 0.0450704225352, (1, 9): 0.180281690141, (1, 1): 0.0, }, ]
+9 Stop [{(1, 3): 0.210008203445, (2, 9): 0.0262510254307, (5, 6): 0.0, (2, 8): 0.000820344544709, (9, 8): 0.0262510254307, (9, 3): 0.210008203445, (9, 9): 0.210008203445, (1, 4): 0.0262510254307, (2, 4): 0.000820344544709, (8, 9): 0.0262510254307, (1, 8): 0.0262510254307, (8, 8): 0.000820344544709, (2, 3): 0.0262510254307, (1, 9): 0.210008203445, (1, 1): 0.0, }, ]
+10 Stop [{(1, 3): 0.180281690141, (2, 9): 0.0450704225352, (5, 6): 0.0, (2, 8): 0.00281690140845, (9, 8): 0.0450704225352, (9, 3): 0.180281690141, (9, 9): 0.180281690141, (1, 4): 0.0450704225352, (2, 4): 0.00281690140845, (8, 9): 0.0450704225352, (1, 8): 0.0450704225352, (8, 8): 0.00281690140845, (2, 3): 0.0450704225352, (1, 9): 0.180281690141, (1, 1): 0.0, }, ]
+11 Stop [{(1, 3): 0.139130434783, (2, 9): 0.0695652173913, (5, 6): 0.0, (2, 8): 0.00869565217391, (9, 8): 0.0695652173913, (9, 3): 0.139130434783, (9, 9): 0.139130434783, (1, 4): 0.0695652173913, (2, 4): 0.00869565217391, (8, 9): 0.0695652173913, (1, 8): 0.0695652173913, (8, 8): 0.00869565217391, (2, 3): 0.0695652173913, (1, 9): 0.139130434783, (1, 1): 0.0, }, ]
+12 Stop [{(1, 3): 0.0981595092025, (2, 9): 0.0981595092025, (5, 6): 0.0, (2, 8): 0.00613496932515, (9, 8): 0.0981595092025, (9, 3): 0.0981595092025, (9, 9): 0.0981595092025, (1, 4): 0.0981595092025, (2, 4): 0.00613496932515, (8, 9): 0.0981595092025, (1, 8): 0.0981595092025, (8, 8): 0.00613496932515, (2, 3): 0.0981595092025, (1, 9): 0.0981595092025, (1, 1): 0.0, }, ]
+13 Stop [{(1, 3): 0.141906873614, (2, 9): 0.0709534368071, (5, 6): 0.0, (2, 8): 0.00221729490022, (9, 8): 0.0709534368071, (9, 3): 0.141906873614, (9, 9): 0.141906873614, (1, 4): 0.0709534368071, (2, 4): 0.00221729490022, (8, 9): 0.0709534368071, (1, 8): 0.0709534368071, (8, 8): 0.00221729490022, (2, 3): 0.0709534368071, (1, 9): 0.141906873614, (1, 1): 0.0, }, ]
+14 Stop [{(1, 3): 0.0981595092025, (2, 9): 0.0981595092025, (5, 6): 0.0, (2, 8): 0.00613496932515, (9, 8): 0.0981595092025, (9, 3): 0.0981595092025, (9, 9): 0.0981595092025, (1, 4): 0.0981595092025, (2, 4): 0.00613496932515, (8, 9): 0.0981595092025, (1, 8): 0.0981595092025, (8, 8): 0.00613496932515, (2, 3): 0.0981595092025, (1, 9): 0.0981595092025, (1, 1): 0.0, }, ]
+15 Stop [{(1, 3): 0.141906873614, (2, 9): 0.0709534368071, (5, 6): 0.0, (2, 8): 0.00221729490022, (9, 8): 0.0709534368071, (9, 3): 0.141906873614, (9, 9): 0.141906873614, (1, 4): 0.0709534368071, (2, 4): 0.00221729490022, (8, 9): 0.0709534368071, (1, 8): 0.0709534368071, (8, 8): 0.00221729490022, (2, 3): 0.0709534368071, (1, 9): 0.141906873614, (1, 1): 0.0, }, ]
+16 Stop [{(1, 3): 0.181431608788, (2, 9): 0.045357902197, (5, 6): 0.0, (2, 8): 0.000708717221828, (9, 8): 0.045357902197, (9, 3): 0.181431608788, (9, 9): 0.181431608788, (1, 4): 0.045357902197, (2, 4): 0.000708717221828, (8, 9): 0.045357902197, (1, 8): 0.045357902197, (8, 8): 0.000708717221828, (2, 3): 0.045357902197, (1, 9): 0.181431608788, (1, 1): 0.0, }, ]
+17 Stop [{(1, 3): 0.210396548182, (2, 9): 0.0262995685227, (5, 6): 0.0, (2, 8): 0.000205465379084, (9, 8): 0.0262995685227, (9, 3): 0.210396548182, (9, 9): 0.210396548182, (1, 4): 0.0262995685227, (2, 4): 0.000205465379084, (8, 9): 0.0262995685227, (1, 8): 0.0262995685227, (8, 8): 0.000205465379084, (2, 3): 0.0262995685227, (1, 9): 0.210396548182, (1, 1): 0.0, }, ]
+18 Stop [{(1, 3): 0.22853316967, (2, 9): 0.0142833231044, (5, 6): 0.0, (2, 8): 5.57942308765e-05, (9, 8): 0.0142833231044, (9, 3): 0.22853316967, (9, 9): 0.22853316967, (1, 4): 0.0142833231044, (2, 4): 5.57942308765e-05, (8, 9): 0.0142833231044, (1, 8): 0.0142833231044, (8, 8): 5.57942308765e-05, (2, 3): 0.0142833231044, (1, 9): 0.22853316967, (1, 1): 0.0, }, ]
+19 Stop [{(1, 3): 0.238795528414, (2, 9): 0.00746236026293, (5, 6): 0.0, (2, 8): 1.45749223885e-05, (9, 8): 0.00746236026293, (9, 3): 0.238795528414, (9, 9): 0.238795528414, (1, 4): 0.00746236026293, (2, 4): 1.45749223885e-05, (8, 9): 0.00746236026293, (1, 8): 0.00746236026293, (8, 8): 1.45749223885e-05, (2, 3): 0.00746236026293, (1, 9): 0.238795528414, (1, 1): 0.0, }, ]
+20 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+21 Stop [{(1, 3): 0.238795528414, (2, 9): 0.00746236026293, (5, 6): 0.0, (2, 8): 1.45749223885e-05, (9, 8): 0.00746236026293, (9, 3): 0.238795528414, (9, 9): 0.238795528414, (1, 4): 0.00746236026293, (2, 4): 1.45749223885e-05, (8, 9): 0.00746236026293, (1, 8): 0.00746236026293, (8, 8): 1.45749223885e-05, (2, 3): 0.00746236026293, (1, 9): 0.238795528414, (1, 1): 0.0, }, ]
+22 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+23 Stop [{(1, 3): 0.247103548324, (2, 9): 0.00193049647128, (5, 6): 0.0, (2, 8): 9.42625230118e-07, (9, 8): 0.00193049647128, (9, 3): 0.247103548324, (9, 9): 0.247103548324, (1, 4): 0.00193049647128, (2, 4): 9.42625230118e-07, (8, 9): 0.00193049647128, (1, 8): 0.00193049647128, (8, 8): 9.42625230118e-07, (2, 3): 0.00193049647128, (1, 9): 0.247103548324, (1, 1): 0.0, }, ]
+24 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+25 Stop [{(1, 3): 0.247103548324, (2, 9): 0.00193049647128, (5, 6): 0.0, (2, 8): 9.42625230118e-07, (9, 8): 0.00193049647128, (9, 3): 0.247103548324, (9, 9): 0.247103548324, (1, 4): 0.00193049647128, (2, 4): 9.42625230118e-07, (8, 9): 0.00193049647128, (1, 8): 0.00193049647128, (8, 8): 9.42625230118e-07, (2, 3): 0.00193049647128, (1, 9): 0.247103548324, (1, 1): 0.0, }, ]
+26 Stop [{(1, 3): 0.244272077707, (2, 9): 0.00381675121417, (5, 6): 0.0, (2, 8): 3.72729610758e-06, (9, 8): 0.00381675121417, (9, 3): 0.244272077707, (9, 9): 0.244272077707, (1, 4): 0.00381675121417, (2, 4): 3.72729610758e-06, (8, 9): 0.00381675121417, (1, 8): 0.00381675121417, (8, 8): 3.72729610758e-06, (2, 3): 0.00381675121417, (1, 9): 0.244272077707, (1, 1): 0.0, }, ]
+27 Stop [{(1, 3): 0.23880335963, (2, 9): 0.00746260498843, (5, 6): 0.0, (2, 8): 3.64385009201e-06, (9, 8): 0.00746260498843, (9, 3): 0.23880335963, (9, 9): 0.23880335963, (1, 4): 0.00746260498843, (2, 4): 3.64385009201e-06, (8, 9): 0.00746260498843, (1, 8): 0.00746260498843, (8, 8): 3.64385009201e-06, (2, 3): 0.00746260498843, (1, 9): 0.23880335963, (1, 1): 0.0, }, ]
+28 Stop [{(1, 3): 0.228561862645, (2, 9): 0.0142851164153, (5, 6): 0.0, (2, 8): 1.39503089993e-05, (9, 8): 0.0142851164153, (9, 3): 0.228561862645, (9, 9): 0.228561862645, (1, 4): 0.0142851164153, (2, 4): 1.39503089993e-05, (8, 9): 0.0142851164153, (1, 8): 0.0142851164153, (8, 8): 1.39503089993e-05, (2, 3): 0.0142851164153, (1, 9): 0.228561862645, (1, 1): 0.0, }, ]
+29 Stop [{(1, 3): 0.23880335963, (2, 9): 0.00746260498843, (5, 6): 0.0, (2, 8): 3.64385009201e-06, (9, 8): 0.00746260498843, (9, 3): 0.23880335963, (9, 9): 0.23880335963, (1, 4): 0.00746260498843, (2, 4): 3.64385009201e-06, (8, 9): 0.00746260498843, (1, 8): 0.00746260498843, (8, 8): 3.64385009201e-06, (2, 3): 0.00746260498843, (1, 9): 0.23880335963, (1, 1): 0.0, }, ]
+30 Stop [{(1, 3): 0.228569037015, (2, 9): 0.0142855648134, (5, 6): 0.0, (2, 8): 3.48768672203e-06, (9, 8): 0.0142855648134, (9, 3): 0.228569037015, (9, 9): 0.228569037015, (1, 4): 0.0142855648134, (2, 4): 3.48768672203e-06, (8, 9): 0.0142855648134, (1, 8): 0.0142855648134, (8, 8): 3.48768672203e-06, (2, 3): 0.0142855648134, (1, 9): 0.228569037015, (1, 1): 0.0, }, ]
+31 Stop [{(1, 3): 0.238805317514, (2, 9): 0.00746266617231, (5, 6): 0.0, (2, 8): 9.10969991738e-07, (9, 8): 0.00746266617231, (9, 3): 0.238805317514, (9, 9): 0.238805317514, (1, 4): 0.00746266617231, (2, 4): 9.10969991738e-07, (8, 9): 0.00746266617231, (1, 8): 0.00746266617231, (8, 8): 9.10969991738e-07, (2, 3): 0.00746266617231, (1, 9): 0.238805317514, (1, 1): 0.0, }, ]
+32 Stop [{(1, 3): 0.228569037015, (2, 9): 0.0142855648134, (5, 6): 0.0, (2, 8): 3.48768672203e-06, (9, 8): 0.0142855648134, (9, 3): 0.228569037015, (9, 9): 0.228569037015, (1, 4): 0.0142855648134, (2, 4): 3.48768672203e-06, (8, 9): 0.0142855648134, (1, 8): 0.0142855648134, (8, 8): 3.48768672203e-06, (2, 3): 0.0142855648134, (1, 9): 0.228569037015, (1, 1): 0.0, }, ]
+33 Stop [{(1, 3): 0.21052428694, (2, 9): 0.0263155358674, (5, 6): 0.0, (2, 8): 3.21234568694e-06, (9, 8): 0.0263155358674, (9, 3): 0.21052428694, (9, 9): 0.21052428694, (1, 4): 0.0263155358674, (2, 4): 3.21234568694e-06, (8, 9): 0.0263155358674, (1, 8): 0.0263155358674, (8, 8): 3.21234568694e-06, (2, 3): 0.0263155358674, (1, 9): 0.21052428694, (1, 1): 0.0, }, ]
+34 Stop [{(1, 3): 0.181816668562, (2, 9): 0.0454541671406, (5, 6): 0.0, (2, 8): 2.77430219364e-06, (9, 8): 0.0454541671406, (9, 3): 0.181816668562, (9, 9): 0.181816668562, (1, 4): 0.0454541671406, (2, 4): 2.77430219364e-06, (8, 9): 0.0454541671406, (1, 8): 0.0454541671406, (8, 8): 2.77430219364e-06, (2, 3): 0.0454541671406, (1, 9): 0.181816668562, (1, 1): 0.0, }, ]
+35 Stop [{(1, 3): 0.142856208652, (2, 9): 0.0714281043258, (5, 6): 0.0, (2, 8): 2.17981275408e-06, (9, 8): 0.0714281043258, (9, 3): 0.142856208652, (9, 9): 0.142856208652, (1, 4): 0.0714281043258, (2, 4): 2.17981275408e-06, (8, 9): 0.0714281043258, (1, 8): 0.0714281043258, (8, 8): 2.17981275408e-06, (2, 3): 0.0714281043258, (1, 9): 0.142856208652, (1, 1): 0.0, }, ]
+36 Stop [{(1, 3): 0.181817803502, (2, 9): 0.0454544508755, (5, 6): 0.0, (2, 8): 6.93579877861e-07, (9, 8): 0.0454544508755, (9, 3): 0.181817803502, (9, 9): 0.181817803502, (1, 4): 0.0454544508755, (2, 4): 6.93579877861e-07, (8, 9): 0.0454544508755, (1, 8): 0.0454544508755, (8, 8): 6.93579877861e-07, (2, 3): 0.0454544508755, (1, 9): 0.181817803502, (1, 1): 0.0, }, ]
+37 Stop [{(1, 3): 0.142856208652, (2, 9): 0.0714281043258, (5, 6): 0.0, (2, 8): 2.17981275408e-06, (9, 8): 0.0714281043258, (9, 3): 0.142856208652, (9, 9): 0.142856208652, (1, 4): 0.0714281043258, (2, 4): 2.17981275408e-06, (8, 9): 0.0714281043258, (1, 8): 0.0714281043258, (8, 8): 2.17981275408e-06, (2, 3): 0.0714281043258, (1, 9): 0.142856208652, (1, 1): 0.0, }, ]
+38 Stop [{(1, 3): 0.181817803502, (2, 9): 0.0454544508755, (5, 6): 0.0, (2, 8): 6.93579877861e-07, (9, 8): 0.0454544508755, (9, 3): 0.181817803502, (9, 9): 0.181817803502, (1, 4): 0.0454544508755, (2, 4): 6.93579877861e-07, (8, 9): 0.0454544508755, (1, 8): 0.0454544508755, (8, 8): 6.93579877861e-07, (2, 3): 0.0454544508755, (1, 9): 0.181817803502, (1, 1): 0.0, }, ]
+39 Stop [{(1, 3): 0.210526188985, (2, 9): 0.0263157736232, (5, 6): 0.0, (2, 8): 2.00773419366e-07, (9, 8): 0.0263157736232, (9, 3): 0.210526188985, (9, 9): 0.210526188985, (1, 4): 0.0263157736232, (2, 4): 2.00773419366e-07, (8, 9): 0.0263157736232, (1, 8): 0.0263157736232, (8, 8): 2.00773419366e-07, (2, 3): 0.0263157736232, (1, 9): 0.210526188985, (1, 1): 0.0, }, ]
+40 Stop [{(1, 3): 0.228571391203, (2, 9): 0.0142857119502, (5, 6): 0.0, (2, 8): 5.44956663139e-08, (9, 8): 0.0142857119502, (9, 3): 0.228571391203, (9, 9): 0.228571391203, (1, 4): 0.0142857119502, (2, 4): 5.44956663139e-08, (8, 9): 0.0142857119502, (1, 8): 0.0142857119502, (8, 8): 5.44956663139e-08, (2, 3): 0.0142857119502, (1, 9): 0.228571391203, (1, 1): 0.0, }, ]
+41 Stop [{(1, 3): 0.210526284088, (2, 9): 0.026315785511, (5, 6): 0.0, (2, 8): 5.01933775159e-08, (9, 8): 0.026315785511, (9, 3): 0.210526284088, (9, 9): 0.210526284088, (1, 4): 0.026315785511, (2, 4): 5.01933775159e-08, (8, 9): 0.026315785511, (1, 8): 0.026315785511, (8, 8): 5.01933775159e-08, (2, 3): 0.026315785511, (1, 9): 0.210526284088, (1, 1): 0.0, }, ]
+42 Stop [{(1, 3): 0.228571419229, (2, 9): 0.0142857137018, (5, 6): 0.0, (2, 8): 1.3623918249e-08, (9, 8): 0.0142857137018, (9, 3): 0.228571419229, (9, 9): 0.228571419229, (1, 4): 0.0142857137018, (2, 4): 1.3623918249e-08, (8, 9): 0.0142857137018, (1, 8): 0.0142857137018, (8, 8): 1.3623918249e-08, (2, 3): 0.0142857137018, (1, 9): 0.228571419229, (1, 1): 0.0, }, ]
+43 Stop [{(1, 3): 0.2388059676, (2, 9): 0.0074626864875, (5, 6): 0.0, (2, 8): 3.55848621726e-09, (9, 8): 0.0074626864875, (9, 3): 0.2388059676, (9, 9): 0.2388059676, (1, 4): 0.0074626864875, (2, 4): 3.55848621726e-09, (8, 9): 0.0074626864875, (1, 8): 0.0074626864875, (8, 8): 3.55848621726e-09, (2, 3): 0.0074626864875, (1, 9): 0.2388059676, (1, 1): 0.0, }, ]
+44 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+45 Stop [{(1, 3): 0.2388059676, (2, 9): 0.0074626864875, (5, 6): 0.0, (2, 8): 3.55848621726e-09, (9, 8): 0.0074626864875, (9, 3): 0.2388059676, (9, 9): 0.2388059676, (1, 4): 0.0074626864875, (2, 4): 3.55848621726e-09, (8, 9): 0.0074626864875, (1, 8): 0.0074626864875, (8, 8): 3.55848621726e-09, (2, 3): 0.0074626864875, (1, 9): 0.2388059676, (1, 1): 0.0, }, ]
+46 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+47 Stop [{(1, 3): 0.247104246934, (2, 9): 0.00193050192917, (5, 6): 0.0, (2, 8): 2.30133763453e-10, (9, 8): 0.00193050192917, (9, 3): 0.247104246934, (9, 9): 0.247104246934, (1, 4): 0.00193050192917, (2, 4): 2.30133763453e-10, (8, 9): 0.00193050192917, (1, 8): 0.00193050192917, (8, 8): 2.30133763453e-10, (2, 3): 0.00193050192917, (1, 9): 0.247104246934, (1, 1): 0.0, }, ]
+48 Stop [{(1, 3): 0.244274808493, (2, 9): 0.00381679388271, (5, 6): 0.0, (2, 8): 9.09994574239e-10, (9, 8): 0.00381679388271, (9, 3): 0.244274808493, (9, 9): 0.244274808493, (1, 4): 0.00381679388271, (2, 4): 9.09994574239e-10, (8, 9): 0.00381679388271, (1, 8): 0.00381679388271, (8, 8): 9.09994574239e-10, (2, 3): 0.00381679388271, (1, 9): 0.244274808493, (1, 1): 0.0, }, ]
+49 Stop [{(1, 3): 0.247104246934, (2, 9): 0.00193050192917, (5, 6): 0.0, (2, 8): 2.30133763453e-10, (9, 8): 0.00193050192917, (9, 3): 0.247104246934, (9, 9): 0.247104246934, (1, 4): 0.00193050192917, (2, 4): 2.30133763453e-10, (8, 9): 0.00193050192917, (1, 8): 0.00193050192917, (8, 8): 2.30133763453e-10, (2, 3): 0.00193050192917, (1, 9): 0.247104246934, (1, 1): 0.0, }, ]
+50 Stop [{(1, 3): 0.248543689277, (2, 9): 0.000970873786239, (5, 6): 0.0, (2, 8): 5.78685871505e-11, (9, 8): 0.000970873786239, (9, 3): 0.248543689277, (9, 9): 0.248543689277, (1, 4): 0.000970873786239, (2, 4): 5.78685871505e-11, (8, 9): 0.000970873786239, (1, 8): 0.000970873786239, (8, 8): 5.78685871505e-11, (2, 3): 0.000970873786239, (1, 9): 0.248543689277, (1, 1): 0.0, }, ]
+51 Stop [{(1, 3): 0.249269717613, (2, 9): 0.000486854917213, (5, 6): 0.0, (2, 8): 1.45094071988e-11, (9, 8): 0.000486854917213, (9, 3): 0.249269717613, (9, 9): 0.249269717613, (1, 4): 0.000486854917213, (2, 4): 1.45094071988e-11, (8, 9): 0.000486854917213, (1, 8): 0.000486854917213, (8, 8): 1.45094071988e-11, (2, 3): 0.000486854917213, (1, 9): 0.249269717613, (1, 1): 0.0, }, ]
+52 Stop [{(1, 3): 0.248543689277, (2, 9): 0.000970873786239, (5, 6): 0.0, (2, 8): 5.78685871505e-11, (9, 8): 0.000970873786239, (9, 3): 0.248543689277, (9, 9): 0.248543689277, (1, 4): 0.000970873786239, (2, 4): 5.78685871505e-11, (8, 9): 0.000970873786239, (1, 8): 0.000970873786239, (8, 8): 5.78685871505e-11, (2, 3): 0.000970873786239, (1, 9): 0.248543689277, (1, 1): 0.0, }, ]
+53 Stop [{(1, 3): 0.249269717613, (2, 9): 0.000486854917213, (5, 6): 0.0, (2, 8): 1.45094071988e-11, (9, 8): 0.000486854917213, (9, 3): 0.249269717613, (9, 9): 0.249269717613, (1, 4): 0.000486854917213, (2, 4): 1.45094071988e-11, (8, 9): 0.000486854917213, (1, 8): 0.000486854917213, (8, 8): 1.45094071988e-11, (2, 3): 0.000486854917213, (1, 9): 0.249269717613, (1, 1): 0.0, }, ]
+54 Stop [{(1, 3): 0.249634324717, (2, 9): 0.000243783520231, (5, 6): 0.0, (2, 8): 3.63265753137e-12, (9, 8): 0.000243783520231, (9, 3): 0.249634324717, (9, 9): 0.249634324717, (1, 4): 0.000243783520231, (2, 4): 3.63265753137e-12, (8, 9): 0.000243783520231, (1, 8): 0.000243783520231, (8, 8): 3.63265753137e-12, (2, 3): 0.000243783520231, (1, 9): 0.249634324717, (1, 1): 0.0, }, ]
+55 Stop [{(1, 3): 0.249817028543, (2, 9): 0.000121980970968, (5, 6): 0.0, (2, 8): 9.0882905549e-13, (9, 8): 0.000121980970968, (9, 3): 0.249817028543, (9, 9): 0.249817028543, (1, 4): 0.000121980970968, (2, 4): 9.0882905549e-13, (8, 9): 0.000121980970968, (1, 8): 0.000121980970968, (8, 8): 9.0882905549e-13, (2, 3): 0.000121980970968, (1, 9): 0.249817028543, (1, 1): 0.0, }, ]
+56 Stop [{(1, 3): 0.249908480781, (2, 9): 6.10128126906e-05, (5, 6): 0.0, (2, 8): 2.27290439198e-13, (9, 8): 6.10128126906e-05, (9, 3): 0.249908480781, (9, 9): 0.249908480781, (1, 4): 6.10128126906e-05, (2, 4): 2.27290439198e-13, (8, 9): 6.10128126906e-05, (1, 8): 6.10128126906e-05, (8, 8): 2.27290439198e-13, (2, 3): 6.10128126906e-05, (1, 9): 0.249908480781, (1, 1): 0.0, }, ]
+57 Stop [{(1, 3): 0.249954232013, (2, 9): 3.05119912125e-05, (5, 6): 0.0, (2, 8): 5.68330124254e-14, (9, 8): 3.05119912125e-05, (9, 3): 0.249954232013, (9, 9): 0.249954232013, (1, 4): 3.05119912125e-05, (2, 4): 5.68330124254e-14, (8, 9): 3.05119912125e-05, (1, 8): 3.05119912125e-05, (8, 8): 5.68330124254e-14, (2, 3): 3.05119912125e-05, (1, 9): 0.249954232013, (1, 1): 0.0, }, ]
+58 Stop [{(1, 3): 0.249977113912, (2, 9): 1.52573922065e-05, (5, 6): 0.0, (2, 8): 1.42095537917e-14, (9, 8): 1.52573922065e-05, (9, 3): 0.249977113912, (9, 9): 0.249977113912, (1, 4): 1.52573922065e-05, (2, 4): 1.42095537917e-14, (8, 9): 1.52573922065e-05, (1, 8): 1.52573922065e-05, (8, 8): 1.42095537917e-14, (2, 3): 1.52573922065e-05, (1, 9): 0.249977113912, (1, 1): 0.0, }, ]
+59 Stop [{(1, 3): 0.249988556432, (2, 9): 7.62904530127e-06, (5, 6): 0.0, (2, 8): 3.55255105592e-15, (9, 8): 7.62904530127e-06, (9, 3): 0.249988556432, (9, 9): 0.249988556432, (1, 4): 7.62904530127e-06, (2, 4): 3.55255105592e-15, (8, 9): 7.62904530127e-06, (1, 8): 7.62904530127e-06, (8, 8): 3.55255105592e-15, (2, 3): 7.62904530127e-06, (1, 9): 0.249988556432, (1, 1): 0.0, }, ]
+60 Stop [{(1, 3): 0.249994278085, (2, 9): 3.81460995613e-06, (5, 6): 0.0, (2, 8): 8.88158091375e-16, (9, 8): 3.81460995613e-06, (9, 3): 0.249994278085, (9, 9): 0.249994278085, (1, 4): 3.81460995613e-06, (2, 4): 8.88158091375e-16, (8, 9): 3.81460995613e-06, (1, 8): 3.81460995613e-06, (8, 8): 8.88158091375e-16, (2, 3): 3.81460995613e-06, (1, 9): 0.249994278085, (1, 1): 0.0, }, ]
+61 Stop [{(1, 3): 0.24999713901, (2, 9): 1.90732680519e-06, (5, 6): 0.0, (2, 8): 2.22042063855e-16, (9, 8): 1.90732680519e-06, (9, 3): 0.24999713901, (9, 9): 0.24999713901, (1, 4): 1.90732680519e-06, (2, 4): 2.22042063855e-16, (8, 9): 1.90732680519e-06, (1, 8): 1.90732680519e-06, (8, 8): 2.22042063855e-16, (2, 3): 1.90732680519e-06, (1, 9): 0.24999713901, (1, 1): 0.0, }, ]
+62 Stop [{(1, 3): 0.249994278085, (2, 9): 3.81460995613e-06, (5, 6): 0.0, (2, 8): 2.22039522844e-16, (9, 8): 3.81460995613e-06, (9, 3): 0.249994278085, (9, 9): 0.249994278085, (1, 4): 3.81460995613e-06, (2, 4): 2.22039522844e-16, (8, 9): 3.81460995613e-06, (1, 8): 3.81460995613e-06, (8, 8): 2.22039522844e-16, (2, 3): 3.81460995613e-06, (1, 9): 0.249994278085, (1, 1): 0.0, }, ]
+63 Stop [{(1, 3): 0.24999713901, (2, 9): 1.90732680519e-06, (5, 6): 0.0, (2, 8): 5.55105159638e-17, (9, 8): 1.90732680519e-06, (9, 3): 0.24999713901, (9, 9): 0.24999713901, (1, 4): 1.90732680519e-06, (2, 4): 5.55105159638e-17, (8, 9): 1.90732680519e-06, (1, 8): 1.90732680519e-06, (8, 8): 5.55105159638e-17, (2, 3): 1.90732680519e-06, (1, 9): 0.24999713901, (1, 1): 0.0, }, ]
+64 Stop [{(1, 3): 0.249998569497, (2, 9): 9.53668859469e-07, (5, 6): 0.0, (2, 8): 1.38777083989e-17, (9, 8): 9.53668859469e-07, (9, 3): 0.249998569497, (9, 9): 0.249998569497, (1, 4): 9.53668859469e-07, (2, 4): 1.38777083989e-17, (8, 9): 9.53668859469e-07, (1, 8): 9.53668859469e-07, (8, 8): 1.38777083989e-17, (2, 3): 9.53668859469e-07, (1, 9): 0.249998569497, (1, 1): 0.0, }, ]
+65 Stop [{(1, 3): 0.249999284746, (2, 9): 4.76835793965e-07, (5, 6): 0.0, (2, 8): 3.46943702581e-18, (9, 8): 4.76835793965e-07, (9, 3): 0.249999284746, (9, 9): 0.249999284746, (1, 4): 4.76835793965e-07, (2, 4): 3.46943702581e-18, (8, 9): 4.76835793965e-07, (1, 8): 4.76835793965e-07, (8, 8): 3.46943702581e-18, (2, 3): 4.76835793965e-07, (1, 9): 0.249999284746, (1, 1): 0.0, }, ]
+66 Stop [{(1, 3): 0.249999642373, (2, 9): 2.38418238042e-07, (5, 6): 0.0, (2, 8): 8.67360497219e-19, (9, 8): 2.38418238042e-07, (9, 3): 0.249999642373, (9, 9): 0.249999642373, (1, 4): 2.38418238042e-07, (2, 4): 8.67360497219e-19, (8, 9): 2.38418238042e-07, (1, 8): 2.38418238042e-07, (8, 8): 8.67360497219e-19, (2, 3): 2.38418238042e-07, (1, 9): 0.249999642373, (1, 1): 0.0, }, ]
+67 Stop [{(1, 3): 0.249999821186, (2, 9): 1.19209204286e-07, (5, 6): 0.0, (2, 8): 2.16840279401e-19, (9, 8): 1.19209204286e-07, (9, 3): 0.249999821186, (9, 9): 0.249999821186, (1, 4): 1.19209204286e-07, (2, 4): 2.16840279401e-19, (8, 9): 1.19209204286e-07, (1, 8): 1.19209204286e-07, (8, 8): 2.16840279401e-19, (2, 3): 1.19209204286e-07, (1, 9): 0.249999821186, (1, 1): 0.0, }, ]
+68 Stop [{(1, 3): 0.249999910593, (2, 9): 5.96046234591e-08, (5, 6): 0.0, (2, 8): 5.42100892372e-20, (9, 8): 5.96046234591e-08, (9, 3): 0.249999910593, (9, 9): 0.249999910593, (1, 4): 5.96046234591e-08, (2, 4): 5.42100892372e-20, (8, 9): 5.96046234591e-08, (1, 8): 5.96046234591e-08, (8, 8): 5.42100892372e-20, (2, 3): 5.96046234591e-08, (1, 9): 0.249999910593, (1, 1): 0.0, }, ]
+69 Stop [{(1, 3): 0.249999955297, (2, 9): 2.98023170586e-08, (5, 6): 0.0, (2, 8): 1.35525247327e-20, (9, 8): 2.98023170586e-08, (9, 3): 0.249999955297, (9, 9): 0.249999955297, (1, 4): 2.98023170586e-08, (2, 4): 1.35525247327e-20, (8, 9): 2.98023170586e-08, (1, 8): 2.98023170586e-08, (8, 8): 1.35525247327e-20, (2, 3): 2.98023170586e-08, (1, 9): 0.249999955297, (1, 1): 0.0, }, ]
+70 Stop [{(1, 3): 0.249999977648, (2, 9): 1.49011598616e-08, (5, 6): 0.0, (2, 8): 3.38813148609e-21, (9, 8): 1.49011598616e-08, (9, 3): 0.249999977648, (9, 9): 0.249999977648, (1, 4): 1.49011598616e-08, (2, 4): 3.38813148609e-21, (8, 9): 1.49011598616e-08, (1, 8): 1.49011598616e-08, (8, 8): 3.38813148609e-21, (2, 3): 1.49011598616e-08, (1, 9): 0.249999977648, (1, 1): 0.0, }, ]
+71 Stop [{(1, 3): 0.249999988824, (2, 9): 7.45058026386e-09, (5, 6): 0.0, (2, 8): 8.47032909389e-22, (9, 8): 7.45058026386e-09, (9, 3): 0.249999988824, (9, 9): 0.249999988824, (1, 4): 7.45058026386e-09, (2, 4): 8.47032909389e-22, (8, 9): 7.45058026386e-09, (1, 8): 7.45058026386e-09, (8, 8): 8.47032909389e-22, (2, 3): 7.45058026386e-09, (1, 9): 0.249999988824, (1, 1): 0.0, }, ]
+72 Stop [{(1, 3): 0.249999994412, (2, 9): 3.7252902152e-09, (5, 6): 0.0, (2, 8): 2.1175823208e-22, (9, 8): 3.7252902152e-09, (9, 3): 0.249999994412, (9, 9): 0.249999994412, (1, 4): 3.7252902152e-09, (2, 4): 2.1175823208e-22, (8, 9): 3.7252902152e-09, (1, 8): 3.7252902152e-09, (8, 8): 2.1175823208e-22, (2, 3): 3.7252902152e-09, (1, 9): 0.249999994412, (1, 1): 0.0, }, ]
+73 Stop [{(1, 3): 0.249999997206, (2, 9): 1.86264512841e-09, (5, 6): 0.0, (2, 8): 5.29395586117e-23, (9, 8): 1.86264512841e-09, (9, 3): 0.249999997206, (9, 9): 0.249999997206, (1, 4): 1.86264512841e-09, (2, 4): 5.29395586117e-23, (8, 9): 1.86264512841e-09, (1, 8): 1.86264512841e-09, (8, 8): 5.29395586117e-23, (2, 3): 1.86264512841e-09, (1, 9): 0.249999997206, (1, 1): 0.0, }, ]
+74 Stop [{(1, 3): 0.249999994412, (2, 9): 3.7252902152e-09, (5, 6): 0.0, (2, 8): 5.29395580201e-23, (9, 8): 3.7252902152e-09, (9, 3): 0.249999994412, (9, 9): 0.249999994412, (1, 4): 3.7252902152e-09, (2, 4): 5.29395580201e-23, (8, 9): 3.7252902152e-09, (1, 8): 3.7252902152e-09, (8, 8): 5.29395580201e-23, (2, 3): 3.7252902152e-09, (1, 9): 0.249999994412, (1, 1): 0.0, }, ]
+75 Stop [{(1, 3): 0.249999997206, (2, 9): 1.86264512841e-09, (5, 6): 0.0, (2, 8): 1.32348896529e-23, (9, 8): 1.86264512841e-09, (9, 3): 0.249999997206, (9, 9): 0.249999997206, (1, 4): 1.86264512841e-09, (2, 4): 1.32348896529e-23, (8, 9): 1.86264512841e-09, (1, 8): 1.86264512841e-09, (8, 8): 1.32348896529e-23, (2, 3): 1.86264512841e-09, (1, 9): 0.249999997206, (1, 1): 0.0, }, ]
+76 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 3.30872243172e-24, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 3.30872243172e-24, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 3.30872243172e-24, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+77 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 8.27180610242e-25, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 8.27180610242e-25, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 8.27180610242e-25, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+78 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 8.27180607931e-25, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 8.27180607931e-25, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 8.27180607931e-25, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+79 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 2.0679515256e-25, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 2.0679515256e-25, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 2.0679515256e-25, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+80 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 5.16987882123e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 5.16987882123e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 5.16987882123e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+81 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 5.16987881401e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 5.16987881401e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 5.16987881401e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+82 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 1.29246970531e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 1.29246970531e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 1.29246970531e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+83 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 5.16987881401e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 5.16987881401e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 5.16987881401e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+84 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 1.29246970531e-26, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 1.29246970531e-26, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 1.29246970531e-26, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+85 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 3.23117426553e-27, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 3.23117426553e-27, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 3.23117426553e-27, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+86 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 3.23117426327e-27, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 3.23117426327e-27, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 3.23117426327e-27, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+87 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 1.2924697035e-26, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 1.2924697035e-26, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 1.2924697035e-26, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+88 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 3.23117426327e-27, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 3.23117426327e-27, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 3.23117426327e-27, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+89 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 8.07793566382e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 8.07793566382e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 8.07793566382e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+90 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+91 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 3.23117425876e-27, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 3.23117425876e-27, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 3.23117425876e-27, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+92 Stop [{(1, 3): 0.249999998603, (2, 9): 9.31322569411e-10, (5, 6): 0.0, (2, 8): 1.29246969989e-26, (9, 8): 9.31322569411e-10, (9, 3): 0.249999998603, (9, 9): 0.249999998603, (1, 4): 9.31322569411e-10, (2, 4): 1.29246969989e-26, (8, 9): 9.31322569411e-10, (1, 8): 9.31322569411e-10, (8, 8): 1.29246969989e-26, (2, 3): 9.31322569411e-10, (1, 9): 0.249999998603, (1, 1): 0.0, }, ]
+93 Stop [{(1, 3): 0.249999999302, (2, 9): 4.65661286007e-10, (5, 6): 0.0, (2, 8): 3.23117425876e-27, (9, 8): 4.65661286007e-10, (9, 3): 0.249999999302, (9, 9): 0.249999999302, (1, 4): 4.65661286007e-10, (2, 4): 3.23117425876e-27, (8, 9): 4.65661286007e-10, (1, 8): 4.65661286007e-10, (8, 8): 3.23117425876e-27, (2, 3): 4.65661286007e-10, (1, 9): 0.249999999302, (1, 1): 0.0, }, ]
+94 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+95 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+96 Stop [{(1, 3): 0.249999999913, (2, 9): 5.82076608931e-11, (5, 6): 0.0, (2, 8): 5.04870979165e-29, (9, 8): 5.82076608931e-11, (9, 3): 0.249999999913, (9, 9): 0.249999999913, (1, 4): 5.82076608931e-11, (2, 4): 5.04870979165e-29, (8, 9): 5.82076608931e-11, (1, 8): 5.82076608931e-11, (8, 8): 5.04870979165e-29, (2, 3): 5.82076608931e-11, (1, 9): 0.249999999913, (1, 1): 0.0, }, ]
+97 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+98 Stop [{(1, 3): 0.249999999913, (2, 9): 5.82076608931e-11, (5, 6): 0.0, (2, 8): 5.04870979165e-29, (9, 8): 5.82076608931e-11, (9, 3): 0.249999999913, (9, 9): 0.249999999913, (1, 4): 5.82076608931e-11, (2, 4): 5.04870979165e-29, (8, 9): 5.82076608931e-11, (1, 8): 5.82076608931e-11, (8, 8): 5.04870979165e-29, (2, 3): 5.82076608931e-11, (1, 9): 0.249999999913, (1, 1): 0.0, }, ]
+99 Stop [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+100 Stop [{(1, 3): 0.249999999651, (2, 9): 2.32830643329e-10, (5, 6): 0.0, (2, 8): 8.07793565818e-28, (9, 8): 2.32830643329e-10, (9, 3): 0.249999999651, (9, 9): 0.249999999651, (1, 4): 2.32830643329e-10, (2, 4): 8.07793565818e-28, (8, 9): 2.32830643329e-10, (1, 8): 2.32830643329e-10, (8, 8): 8.07793565818e-28, (2, 3): 2.32830643329e-10, (1, 9): 0.249999999651, (1, 1): 0.0, }, ]
+101 None [{(1, 3): 0.249999999825, (2, 9): 1.16415321746e-10, (5, 6): 0.0, (2, 8): 2.01948391596e-28, (9, 8): 1.16415321746e-10, (9, 3): 0.249999999825, (9, 9): 0.249999999825, (1, 4): 1.16415321746e-10, (2, 4): 2.01948391596e-28, (8, 9): 1.16415321746e-10, (1, 8): 1.16415321746e-10, (8, 8): 2.01948391596e-28, (2, 3): 1.16415321746e-10, (1, 9): 0.249999999825, (1, 1): 0.0, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/2-ParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/2-ParticleUpdate.test
new file mode 100644
index 0000000..8a05a60
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/2-ParticleUpdate.test	
@@ -0,0 +1,31 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%  %%%%%  %
+%  %%%%%  %
+%%%%%%%%%%%
+%%%%%P%%%%%
+%%%%%%%%%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.1"
+errorMsg: "Particle filter observe test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/3-ParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/3-ParticleUpdate.solution
new file mode 100644
index 0000000..80e243f
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/3-ParticleUpdate.solution	
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(4, 7): 0.0454545454545, (1, 3): 0.0454545454545, (6, 6): 0.0454545454545, (5, 6): 0.0454545454545, (2, 8): 0.0454545454545, (9, 8): 0.0454545454545, (8, 9): 0.0454545454545, (6, 7): 0.0454545454545, (5, 5): 0.0454545454545, (2, 9): 0.0454545454545, (4, 5): 0.0454545454545, (9, 3): 0.0454545454545, (1, 4): 0.0454545454545, (2, 3): 0.0454545454545, (1, 9): 0.0454545454545, (6, 5): 0.0454545454545, (4, 6): 0.0454545454545, (5, 7): 0.0454545454545, (9, 9): 0.0454545454545, (1, 8): 0.0454545454545, (8, 8): 0.0454545454545, (2, 4): 0.0454545454545, }, ]
+1 South [{(4, 7): 0.00393700787402, (1, 3): 0.125984251969, (6, 6): 0.00196850393701, (5, 6): 0.0, (2, 8): 0.0314960629921, (9, 8): 0.0629921259843, (8, 9): 0.0629921259843, (6, 7): 0.00393700787402, (5, 5): 0.00196850393701, (2, 9): 0.0629921259843, (1, 1): 0.0, (4, 5): 0.00393700787402, (9, 3): 0.125984251969, (1, 4): 0.0629921259843, (2, 3): 0.0629921259843, (1, 9): 0.125984251969, (6, 5): 0.00393700787402, (4, 6): 0.00196850393701, (5, 7): 0.00196850393701, (9, 9): 0.125984251969, (1, 8): 0.0629921259843, (8, 8): 0.0314960629921, (2, 4): 0.0314960629921, }, ]
+2 East [{(4, 7): 0.00864164191196, (1, 3): 0.138266270591, (6, 6): 0.00216041047799, (5, 6): 0.0, (2, 8): 0.0345665676479, (9, 8): 0.0345665676479, (8, 9): 0.0345665676479, (6, 7): 0.00864164191196, (5, 5): 0.0, (2, 9): 0.0345665676479, (1, 1): 0.0, (4, 5): 0.00418579530111, (9, 3): 0.138266270591, (1, 4): 0.138266270591, (2, 3): 0.138266270591, (1, 9): 0.0345665676479, (6, 5): 0.00418579530111, (4, 6): 0.00216041047799, (5, 7): 0.00216041047799, (9, 9): 0.0345665676479, (1, 8): 0.0345665676479, (8, 8): 0.0345665676479, (2, 4): 0.138266270591, }, ]
+3 West [{(4, 7): 0.00214745283573, (1, 3): 0.274873962973, (6, 6): 0.000100661851675, (5, 6): 0.0, (2, 8): 0.0687184907433, (9, 8): 0.0343592453717, (8, 9): 0.0343592453717, (6, 7): 0.000536863208932, (5, 5): 0.0, (2, 9): 0.0343592453717, (1, 1): 0.0, (4, 5): 0.000260043116826, (9, 3): 0.0687184907433, (1, 4): 0.137436981487, (2, 3): 0.137436981487, (1, 9): 0.0171796226858, (6, 5): 0.0, (4, 6): 0.000268431604466, (5, 7): 0.000268431604466, (9, 9): 0.0687184907433, (1, 8): 0.0343592453717, (8, 8): 0.0171796226858, (2, 4): 0.0687184907433, }, ]
+4 East [{(4, 7): 0.000223143123433, (1, 3): 0.228498558395, (6, 6): 5.22991695546e-06, (5, 6): 0.0, (2, 8): 0.0571246395988, (9, 8): 0.0571246395988, (8, 9): 0.0571246395988, (6, 7): 5.57857808582e-05, (5, 5): 0.0, (2, 9): 0.0571246395988, (1, 1): 0.0, (4, 5): 6.7553094008e-06, (9, 3): 0.0571246395988, (1, 4): 0.0571246395988, (2, 3): 0.0571246395988, (1, 9): 0.0571246395988, (6, 5): 0.0, (4, 6): 1.39464452145e-05, (5, 7): 1.39464452145e-05, (9, 9): 0.228498558395, (1, 8): 0.0571246395988, (8, 8): 0.0142811598997, (2, 4): 0.0142811598997, }, ]
+5 North [{(4, 7): 0.000322046872051, (1, 3): 0.16488799849, (6, 6): 1.76905630399e-06, (5, 6): 0.0, (2, 8): 0.0412219996225, (9, 8): 0.082443999245, (8, 9): 0.082443999245, (6, 7): 2.01279295032e-05, (5, 5): 0.0, (2, 9): 0.0206109998113, (1, 1): 0.0, (4, 5): 2.43736646328e-06, (9, 3): 0.16488799849, (1, 4): 0.082443999245, (2, 3): 0.082443999245, (1, 9): 0.0103054999056, (6, 5): 0.0, (4, 6): 1.00639647516e-05, (5, 7): 1.00639647516e-05, (9, 9): 0.16488799849, (1, 8): 0.0206109998113, (8, 8): 0.0412219996225, (2, 4): 0.0412219996225, }, ]
+6 South [{(4, 7): 3.68499725789e-05, (1, 3): 0.150937487683, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0377343719208, (9, 8): 0.0377343719208, (8, 9): 0.0377343719208, (6, 7): 8.63671232318e-07, (5, 5): 0.0, (2, 9): 0.0377343719208, (1, 1): 0.0, (4, 5): 2.78893835436e-07, (9, 3): 0.150937487683, (1, 4): 0.150937487683, (2, 3): 0.150937487683, (1, 9): 0.0094335929802, (6, 5): 0.0, (4, 6): 5.75780821545e-07, (5, 7): 5.75780821545e-07, (9, 9): 0.150937487683, (1, 8): 0.0377343719208, (8, 8): 0.0094335929802, (2, 4): 0.0377343719208, }, ]
+7 Stop [{(4, 7): 0.000152973182823, (1, 3): 0.0783222696052, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0195805674013, (9, 8): 0.0391611348026, (8, 9): 0.0391611348026, (6, 7): 3.5853089724e-06, (5, 5): 0.0, (2, 9): 0.00979028370064, (1, 1): 0.0, (4, 5): 1.15775602234e-06, (9, 3): 0.313289078421, (1, 4): 0.15664453921, (2, 3): 0.15664453921, (1, 9): 0.00122378546258, (6, 5): 0.0, (4, 6): 4.78041196321e-06, (5, 7): 4.78041196321e-06, (9, 9): 0.0783222696052, (1, 8): 0.00979028370064, (8, 8): 0.0195805674013, (2, 4): 0.0783222696052, }, ]
+8 North [{(4, 7): 0.00046788244328, (1, 3): 0.0299444763699, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00748611909247, (9, 8): 0.0299444763699, (8, 9): 0.0299444763699, (6, 7): 2.74149869109e-06, (5, 5): 0.0, (2, 9): 0.00187152977312, (1, 1): 0.0, (4, 5): 8.85275618998e-07, (9, 3): 0.479111621918, (1, 4): 0.11977790548, (2, 3): 0.11977790548, (1, 9): 0.00011697061082, (6, 5): 0.0, (4, 6): 7.31066317624e-06, (5, 7): 7.31066317624e-06, (9, 9): 0.0299444763699, (1, 8): 0.00187152977312, (8, 8): 0.0299444763699, (2, 4): 0.11977790548, }, ]
+9 South [{(4, 7): 4.9127930802e-05, (1, 3): 0.0251535005706, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00628837514265, (9, 8): 0.0125767502853, (8, 9): 0.0125767502853, (6, 7): 1.07947113579e-07, (5, 5): 0.0, (2, 9): 0.00314418757133, (1, 1): 0.0, (4, 5): 9.29544589149e-08, (9, 3): 0.40245600913, (1, 4): 0.201228004565, (2, 3): 0.201228004565, (1, 9): 9.8255861604e-05, (6, 5): 0.0, (4, 6): 3.83811959391e-07, (5, 7): 3.83811959391e-07, (9, 9): 0.0251535005706, (1, 8): 0.00314418757133, (8, 8): 0.00628837514265, (2, 4): 0.100614002282, }, ]
+10 West [{(4, 7): 0.000133101778699, (1, 3): 0.00851851383675, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00212962845919, (9, 8): 0.00851851383675, (8, 9): 0.00851851383675, (6, 7): 1.16983985185e-06, (5, 5): 0.0, (2, 9): 0.000532407114797, (1, 1): 0.0, (4, 5): 1.00736209465e-06, (9, 3): 0.545184885552, (1, 4): 0.136296221388, (2, 3): 0.136296221388, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 2.07971529218e-06, (5, 7): 2.07971529218e-06, (9, 9): 0.00851851383675, (1, 8): 0.000532407114797, (8, 8): 0.00851851383675, (2, 4): 0.136296221388, }, ]
+11 East [{(4, 7): 0.00015976921452, (1, 3): 0.00511261486465, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00127815371616, (9, 8): 0.00255630743232, (8, 9): 0.00255630743232, (6, 7): 1.40422161199e-06, (5, 5): 0.0, (2, 9): 0.00015976921452, (1, 1): 0.0, (4, 5): 5.85701809517e-07, (9, 3): 0.327207351338, (1, 4): 0.163603675669, (2, 3): 0.163603675669, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 1.24819698844e-06, (5, 7): 1.24819698844e-06, (9, 9): 0.00127815371616, (1, 8): 0.00015976921452, (8, 8): 0.00511261486465, (2, 4): 0.327207351338, }, ]
+12 North [{(4, 7): 0.000385931123825, (1, 3): 0.0015437244953, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000385931123825, (9, 8): 0.0015437244953, (8, 9): 0.0015437244953, (6, 7): 8.47993191999e-07, (5, 5): 0.0, (2, 9): 2.41206952391e-05, (1, 1): 0.0, (4, 5): 3.53698549267e-07, (9, 3): 0.395193470797, (1, 4): 0.0987983676992, (2, 3): 0.0987983676992, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 1.50754345244e-06, (5, 7): 1.50754345244e-06, (9, 9): 0.000385931123825, (1, 8): 2.41206952391e-05, (8, 8): 0.0061748979812, (2, 4): 0.395193470797, }, ]
+13 West [{(4, 7): 4.05005779962e-05, (1, 3): 0.00129601849588, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.00032400462397, (9, 8): 0.00064800924794, (8, 9): 0.00064800924794, (6, 7): 3.33714479339e-08, (5, 5): 0.0, (2, 9): 4.05005779962e-05, (1, 1): 0.0, (4, 5): 3.71180109543e-08, (9, 3): 0.331780734945, (1, 4): 0.165890367473, (2, 3): 0.165890367473, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 7.91026913989e-08, (5, 7): 7.91026913989e-08, (9, 9): 0.00032400462397, (1, 8): 4.05005779962e-05, (8, 8): 0.00129601849588, (2, 4): 0.331780734945, }, ]
+14 Stop [{(4, 7): 0.000555126164104, (1, 3): 0.000555126164104, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000555126164104, (9, 8): 0.000555126164104, (8, 9): 0.000555126164104, (6, 7): 4.57409864222e-07, (5, 5): 0.0, (2, 9): 3.46953852565e-05, (1, 1): 0.0, (4, 5): 5.08762592034e-07, (9, 3): 0.142112298011, (1, 4): 0.142112298011, (2, 3): 0.142112298011, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 4.31998205098e-06, (5, 7): 4.31998205098e-06, (9, 9): 0.000138781541026, (1, 8): 3.46953852565e-05, (8, 8): 0.00222050465642, (2, 4): 0.568449192043, }, ]
+15 West [{(4, 7): 4.05005652565e-05, (1, 3): 0.00129601808821, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.000324004522052, (9, 8): 0.000648009044104, (8, 9): 0.000648009044104, (6, 7): 3.33714374367e-08, (5, 5): 0.0, (2, 9): 4.05005652565e-05, (1, 1): 0.0, (4, 5): 3.71179992786e-08, (9, 3): 0.331780630581, (1, 4): 0.165890315291, (2, 3): 0.165890315291, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 2.36381015177e-07, (5, 7): 2.36381015177e-07, (9, 9): 0.000324004522052, (1, 8): 4.05005652565e-05, (8, 8): 0.00129601808821, (2, 4): 0.331780630581, }, ]
+16 Stop [{(4, 7): 7.99743432144e-07, (1, 3): 0.000818937274515, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.11835796572e-05, (9, 8): 0.000818937274515, (8, 9): 0.000818937274515, (6, 7): 2.6358731284e-09, (5, 5): 0.0, (2, 9): 1.27958949143e-05, (1, 1): 0.0, (4, 5): 7.32949674883e-10, (9, 3): 0.838591769103, (1, 4): 0.052411985569, (2, 3): 0.052411985569, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 9.33538399643e-09, (9, 9): 0.000818937274515, (1, 8): 1.27958949143e-05, (8, 8): 0.000818937274515, (2, 4): 0.052411985569, }, ]
+17 Stop [{(4, 7): 7.29033685408e-09, (1, 3): 0.000238889758034, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 3.73265246929e-06, (9, 8): 0.000477779516069, (8, 9): 0.000477779516069, (6, 7): 9.61128393848e-11, (5, 5): 0.0, (2, 9): 1.86632623464e-06, (1, 1): 0.0, (4, 5): 6.68145534207e-12, (9, 3): 0.978492448909, (1, 4): 0.0076444722571, (2, 3): 0.0076444722571, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 1.70199819744e-10, (9, 9): 0.000955559032137, (1, 8): 1.86632623464e-06, (8, 8): 0.000238889758034, (2, 4): 0.00382223612855, }, ]
+18 East [{(4, 7): 5.79881817339e-11, (1, 3): 6.08050156498e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 2.37519592382e-07, (9, 8): 0.000243220062599, (8, 9): 0.000243220062599, (6, 7): 3.05797052113e-12, (5, 5): 0.0, (2, 9): 2.37519592382e-07, (1, 1): 0.0, (4, 5): 5.31450678313e-14, (9, 3): 0.996229376407, (1, 4): 0.000972880250398, (2, 3): 0.000972880250398, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 2.70757806558e-12, (9, 9): 0.000972880250398, (1, 8): 2.37519592382e-07, (8, 8): 6.08050156498e-05, (2, 4): 0.000243220062599, }, ]
+19 South [{(4, 7): 1.8147521519e-12, (1, 3): 6.08929776778e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.94657985135e-08, (9, 8): 0.000121785955356, (8, 9): 0.000121785955356, (6, 7): 9.56998205104e-14, (5, 5): 0.0, (2, 9): 1.18931597027e-07, (1, 1): 0.0, (4, 5): 1.66318589971e-15, (9, 3): 0.997670546273, (1, 4): 0.000487143821422, (2, 3): 0.000487143821422, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 4.23671080384e-14, (9, 9): 0.000974287642845, (1, 8): 1.18931597027e-07, (8, 8): 1.52232444194e-05, (2, 4): 6.08929776778e-05, }, ]
+20 West [{(4, 7): 2.26248113325e-13, (1, 3): 6.07330154695e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 5.93095854195e-08, (9, 8): 0.000242932061878, (8, 9): 0.000242932061878, (6, 7): 1.19310528511e-14, (5, 5): 0.0, (2, 9): 2.37238341678e-07, (1, 1): 0.0, (4, 5): 5.18380253089e-17, (9, 3): 0.995049725453, (1, 4): 0.000242932061878, (2, 3): 0.000242932061878, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 2.64098826132e-15, (9, 9): 0.00388691299005, (1, 8): 2.37238341678e-07, (8, 8): 1.51832538674e-05, (2, 4): 1.51832538674e-05, }, ]
+21 North [{(4, 7): 4.52283050598e-13, (1, 3): 0.000242817613857, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 2.37126576032e-07, (9, 8): 0.000121408806928, (8, 9): 0.000121408806928, (6, 7): 9.54034559856e-14, (5, 5): 0.0, (2, 9): 4.74253152064e-07, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.994580946357, (1, 4): 0.00194254091085, (2, 3): 0.00194254091085, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 1.05589762484e-14, (9, 9): 0.000971270455427, (1, 8): 4.74253152064e-07, (8, 8): 1.5176100866e-05, (2, 4): 6.07044034642e-05, }, ]
+22 East [{(4, 7): 0.0, (1, 3): 6.09344995784e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.09344995784e-05, (8, 9): 6.09344995784e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.95063472445e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998350841092, (1, 4): 0.000243737998314, (2, 3): 0.000243737998314, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000974951993254, (1, 8): 5.95063472445e-08, (8, 8): 3.80840622365e-06, (2, 4): 0.0, }, ]
+23 East [{(4, 7): 0.0, (1, 3): 6.09532480849e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.04766240424e-05, (8, 9): 3.04766240424e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.97623281665e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998658016623, (1, 4): 0.00012190649617, (2, 3): 0.00012190649617, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000975251969358, (1, 8): 2.97623281665e-08, (8, 8): 9.52394501327e-07, (2, 4): 0.0, }, ]
+24 South [{(4, 7): 0.0, (1, 3): 1.52398945435e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.0959578174e-05, (8, 9): 6.0959578174e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.48827095151e-08, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998761728803, (1, 4): 6.0959578174e-05, (2, 3): 6.0959578174e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.000975353250784, (1, 8): 1.48827095151e-08, (8, 8): 3.80997363588e-06, (2, 4): 0.0, }, ]
+25 West [{(4, 7): 0.0, (1, 3): 1.52361796059e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 0.000121889436847, (8, 9): 0.000121889436847, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.43954082321e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998518266654, (1, 4): 0.000121889436847, (2, 3): 0.000121889436847, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.00097511549478, (1, 8): 7.43954082321e-09, (8, 8): 3.80904490148e-06, (2, 4): 0.0, }, ]
+26 Stop [{(4, 7): 0.0, (1, 3): 1.52454710287e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.0981884115e-05, (8, 9): 6.0981884115e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.72203882538e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99912718934, (1, 4): 0.00024392753646, (2, 3): 0.00024392753646, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 0.00024392753646, (1, 8): 3.72203882538e-09, (8, 8): 3.81136775719e-06, (2, 4): 0.0, }, ]
+27 East [{(4, 7): 0.0, (1, 3): 1.52417532022e-05, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.04835064043e-05, (8, 9): 3.04835064043e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.86056557644e-09, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.998883537857, (1, 4): 0.000487736102469, (2, 3): 0.000487736102469, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 6.09670128086e-05, (1, 8): 1.86056557644e-09, (8, 8): 3.81043830054e-06, (2, 4): 0.0, }, ]
+28 West [{(4, 7): 0.0, (1, 3): 3.81263201061e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52505280424e-05, (8, 9): 1.52505280424e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.32704590491e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999458605789, (1, 4): 0.000244008448679, (2, 3): 0.000244008448679, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52505280424e-05, (1, 8): 2.32704590491e-10, (8, 8): 3.81263201061e-06, (2, 4): 0.0, }, ]
+29 Stop [{(4, 7): 0.0, (1, 3): 3.81344620779e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05075696623e-05, (8, 9): 3.05075696623e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.65508570287e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999672042695, (1, 4): 0.000122030278649, (2, 3): 0.000122030278649, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52537848312e-05, (1, 8): 4.65508570287e-10, (8, 8): 3.81344620779e-06, (2, 4): 0.0, }, ]
+30 West [{(4, 7): 0.0, (1, 3): 3.8126756196e-06, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52507024784e-05, (8, 9): 1.52507024784e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.32707252173e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999470037623, (1, 4): 0.000244011239654, (2, 3): 0.000244011239654, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.8126756196e-06, (1, 8): 2.32707252173e-10, (8, 8): 3.8126756196e-06, (2, 4): 0.0, }, ]
+31 East [{(4, 7): 0.0, (1, 3): 9.53538820727e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05132422633e-05, (8, 9): 3.05132422633e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.16398781827e-10, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999857922483, (1, 4): 3.05132422633e-05, (2, 3): 3.05132422633e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.52566211316e-05, (1, 8): 1.16398781827e-10, (8, 8): 3.81415528291e-06, (2, 4): 0.0, }, ]
+32 East [{(4, 7): 0.0, (1, 3): 9.53520636459e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.52563301834e-05, (8, 9): 1.52563301834e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.81982810339e-11, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999838854896, (1, 4): 6.10253207334e-05, (2, 3): 6.10253207334e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.81408254584e-06, (1, 8): 5.81982810339e-11, (8, 8): 3.81408254584e-06, (2, 4): 0.0, }, ]
+33 West [{(4, 7): 0.0, (1, 3): 2.38399197068e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.62877430618e-06, (8, 9): 7.62877430618e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.27536612146e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999918705859, (1, 4): 3.05150972247e-05, (2, 3): 3.05150972247e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.53596788272e-07, (1, 8): 7.27536612146e-12, (8, 8): 3.81438715309e-06, (2, 4): 0.0, }, ]
+34 North [{(4, 7): 0.0, (1, 3): 2.38386637378e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81418619805e-06, (8, 9): 3.81418619805e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.63749141507e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999866026703, (1, 4): 6.10269791689e-05, (2, 3): 6.10269791689e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38386637378e-07, (1, 8): 3.63749141507e-12, (8, 8): 3.81418619805e-06, (2, 4): 0.0, }, ]
+35 West [{(4, 7): 0.0, (1, 3): 2.3835572685e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.62738325921e-06, (8, 9): 7.62738325921e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.2740395157e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999736378552, (1, 4): 0.000122038132147, (2, 3): 0.000122038132147, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.3835572685e-07, (1, 8): 7.2740395157e-12, (8, 8): 3.81369162961e-06, (2, 4): 0.0, }, ]
+36 North [{(4, 7): 0.0, (1, 3): 5.96022965241e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81454697754e-06, (8, 9): 3.81454697754e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.09458870301e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99996060288, (1, 4): 1.52581879102e-05, (2, 3): 1.52581879102e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38409186096e-07, (1, 8): 9.09458870301e-13, (8, 8): 9.53636744385e-07, (2, 4): 0.0, }, ]
+37 East [{(4, 7): 0.0, (1, 3): 2.38344648745e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.05081150393e-05, (8, 9): 3.05081150393e-05, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.81842535969e-12, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999689913608, (1, 4): 0.000122032460157, (2, 3): 0.000122032460157, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.53378594979e-07, (1, 8): 1.81842535969e-12, (8, 8): 3.81351437991e-06, (2, 4): 0.0, }, ]
+38 South [{(4, 7): 0.0, (1, 3): 2.38387489806e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.81419983689e-06, (8, 9): 3.81419983689e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.2734402638e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999869602043, (1, 4): 6.10271973903e-05, (2, 3): 6.10271973903e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38387489806e-07, (1, 8): 2.2734402638e-13, (8, 8): 2.38387489806e-07, (2, 4): 0.0, }, ]
+39 East [{(4, 7): 0.0, (1, 3): 2.38402990813e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.90722392651e-06, (8, 9): 1.90722392651e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.13679404646e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99993461798, (1, 4): 3.05155828241e-05, (2, 3): 3.05155828241e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38402990813e-07, (1, 8): 1.13679404646e-13, (8, 8): 5.96007477033e-08, (2, 4): 0.0, }, ]
+40 West [{(4, 7): 0.0, (1, 3): 2.38388906977e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.53555627909e-07, (8, 9): 9.53555627909e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.273453779e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999875546091, (1, 4): 6.10275601862e-05, (2, 3): 6.10275601862e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38388906977e-07, (1, 8): 2.273453779e-13, (8, 8): 1.48993066861e-08, (2, 4): 0.0, }, ]
+41 Stop [{(4, 7): 0.0, (1, 3): 2.38359359419e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.90687487535e-06, (8, 9): 1.90687487535e-06, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.54634398306e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999751614649, (1, 4): 0.000122039992023, (2, 3): 0.000122039992023, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38359359419e-07, (1, 8): 4.54634398306e-13, (8, 8): 1.48974599637e-08, (2, 4): 0.0, }, ]
+42 North [{(4, 7): 0.0, (1, 3): 2.38388909641e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.53555638565e-07, (8, 9): 9.53555638565e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.27345380441e-13, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999875557264, (1, 4): 6.10275608682e-05, (2, 3): 6.10275608682e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.38388909641e-07, (1, 8): 2.27345380441e-13, (8, 8): 3.72482671314e-09, (2, 4): 0.0, }, ]
+43 South [{(4, 7): 0.0, (1, 3): 2.38403900137e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.19201950068e-07, (8, 9): 1.19201950068e-07, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.84199595615e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99993843196, (1, 4): 3.05156992175e-05, (2, 3): 3.05156992175e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96009750342e-08, (1, 8): 2.84199595615e-14, (8, 8): 2.32816308727e-10, (2, 4): 0.0, }, ]
+44 South [{(4, 7): 0.0, (1, 3): 2.38411203882e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.96028009706e-08, (8, 9): 5.96028009706e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.42104151179e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969066088, (1, 4): 1.52583170485e-05, (2, 3): 1.52583170485e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96028009706e-08, (1, 8): 1.42104151179e-14, (8, 8): 5.82058603228e-11, (2, 4): 0.0, }, ]
+45 North [{(4, 7): 0.0, (1, 3): 2.38403953463e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98004941828e-08, (8, 9): 2.98004941828e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.1049914796e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999938655625, (1, 4): 3.05157060432e-05, (2, 3): 3.05157060432e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49002470914e-08, (1, 8): 7.1049914796e-15, (8, 8): 5.82040902009e-11, (2, 4): 0.0, }, ]
+46 South [{(4, 7): 0.0, (1, 3): 2.38411235865e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49007022416e-08, (8, 9): 1.49007022416e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.55260425605e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969200234, (1, 4): 1.52583190954e-05, (2, 3): 1.52583190954e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49007022416e-08, (1, 8): 3.55260425605e-15, (8, 8): 1.45514670328e-11, (2, 4): 0.0, }, ]
+47 North [{(4, 7): 0.0, (1, 3): 2.38414855912e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.9801856989e-08, (8, 9): 2.9801856989e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.10531639791e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999984383812, (1, 4): 7.62927538919e-06, (2, 3): 7.62927538919e-06, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96037139781e-08, (1, 8): 7.10531639791e-15, (8, 8): 1.45516879829e-11, (2, 4): 0.0, }, ]
+48 West [{(4, 7): 0.0, (1, 3): 2.38411203882e-07, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.96028009706e-08, (8, 9): 5.96028009706e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.42104151179e-14, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999969066088, (1, 4): 1.52583170485e-05, (2, 3): 1.52583170485e-05, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96028009706e-08, (1, 8): 1.42104151179e-14, (8, 8): 5.82058603228e-11, (2, 4): 0.0, }, ]
+49 Stop [{(4, 7): 0.0, (1, 3): 5.96044067437e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98022033718e-08, (8, 9): 2.98022033718e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.7763497455e-15, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.99999600649, (1, 4): 1.9073410158e-06, (2, 3): 1.9073410158e-06, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96044067437e-08, (1, 8): 1.7763497455e-15, (8, 8): 1.45518571152e-11, (2, 4): 0.0, }, ]
+50 South [{(4, 7): 0.0, (1, 3): 1.49011525341e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49011525341e-08, (8, 9): 1.49011525341e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.22044475884e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999418851, (1, 4): 2.38418440545e-07, (2, 3): 2.38418440545e-07, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96046101362e-08, (1, 8): 2.22044475884e-16, (8, 8): 3.63797669289e-12, (2, 4): 0.0, }, ]
+51 Stop [{(4, 7): 0.0, (1, 3): 3.72528961844e-09, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98023169475e-08, (8, 9): 2.98023169475e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.11022282196e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999817457, (1, 4): 2.98023169475e-08, (2, 3): 2.98023169475e-08, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.9604633895e-08, (1, 8): 1.11022282196e-16, (8, 8): 3.637978143e-12, (2, 4): 0.0, }, ]
+52 Stop [{(4, 7): 0.0, (1, 3): 1.49011585293e-08, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.49011585293e-08, (8, 9): 1.49011585293e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.2204456522e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999821182, (1, 4): 5.9604634117e-08, (2, 3): 5.9604634117e-08, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49011585293e-08, (1, 8): 2.2204456522e-16, (8, 8): 3.63797815656e-12, (2, 4): 0.0, }, ]
+53 Stop [{(4, 7): 0.0, (1, 3): 3.72528978497e-09, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.98023182798e-08, (8, 9): 2.98023182798e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.11022287159e-16, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999862161, (1, 4): 7.45057956994e-09, (2, 3): 7.45057956994e-09, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.96046365595e-08, (1, 8): 1.11022287159e-16, (8, 8): 3.63797830564e-12, (2, 4): 0.0, }, ]
+54 North [{(4, 7): 0.0, (1, 3): 9.31322530377e-10, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.4901160486e-08, (8, 9): 1.4901160486e-08, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.55111485944e-17, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999952499, (1, 4): 9.31322530377e-10, (2, 3): 9.31322530377e-10, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.4901160486e-08, (1, 8): 5.55111485944e-17, (8, 8): 3.63797863428e-12, (2, 4): 0.0, }, ]
+55 North [{(4, 7): 0.0, (1, 3): 2.32830636606e-10, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.4505803714e-09, (8, 9): 7.4505803714e-09, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.93889369387e-18, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999969731, (1, 4): 1.16415318303e-10, (2, 3): 1.16415318303e-10, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.49011607428e-08, (1, 8): 6.93889369387e-18, (8, 8): 9.09494674244e-13, (2, 4): 0.0, }, ]
+56 East [{(4, 7): 0.0, (1, 3): 5.82076605831e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 9.3132256933e-10, (8, 9): 9.3132256933e-10, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.16840433266e-19, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999994325, (1, 4): 1.45519151458e-11, (2, 3): 1.45519151458e-11, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.72529027732e-09, (1, 8): 2.16840433266e-19, (8, 8): 5.68434185382e-14, (2, 4): 0.0, }, ]
+57 Stop [{(4, 7): 0.0, (1, 3): 5.82076608415e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.16415321683e-10, (8, 9): 1.16415321683e-10, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.71050542786e-20, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999998763, (1, 4): 7.27595760518e-12, (2, 3): 7.27595760518e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.31322573464e-10, (1, 8): 2.71050542786e-20, (8, 8): 3.55271367441e-15, (2, 4): 0.0, }, ]
+58 South [{(4, 7): 0.0, (1, 3): 5.82076608944e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.45519152236e-11, (8, 9): 1.45519152236e-11, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.38813178791e-21, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999673, (1, 4): 3.6379788059e-12, (2, 3): 3.6379788059e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643578e-10, (1, 8): 3.38813178791e-21, (8, 8): 2.22044604852e-16, (2, 4): 0.0, }, ]
+59 West [{(4, 7): 0.0, (1, 3): 5.82076608955e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.27595761193e-12, (8, 9): 7.27595761193e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.69406589398e-21, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999691, (1, 4): 1.81898940298e-12, (2, 3): 1.81898940298e-12, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643582e-10, (1, 8): 1.69406589398e-21, (8, 8): 5.55111512141e-17, (2, 4): 0.0, }, ]
+60 South [{(4, 7): 0.0, (1, 3): 1.45519152247e-11, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.63797880616e-12, (8, 9): 3.63797880616e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.1175823676e-22, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999745, (1, 4): 2.27373675385e-13, (2, 3): 2.27373675385e-13, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643594e-10, (1, 8): 2.1175823676e-22, (8, 8): 1.38777878043e-17, (2, 4): 0.0, }, ]
+61 North [{(4, 7): 0.0, (1, 3): 3.63797880618e-12, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 7.27595761236e-12, (8, 9): 7.27595761236e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.0587911838e-22, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999749, (1, 4): 2.84217094233e-14, (2, 3): 2.84217094233e-14, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643595e-10, (1, 8): 1.0587911838e-22, (8, 8): 1.38777878043e-17, (2, 4): 0.0, }, ]
+62 North [{(4, 7): 0.0, (1, 3): 3.63797880613e-12, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.45519152245e-11, (8, 9): 1.45519152245e-11, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.29395591893e-23, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999734, (1, 4): 1.42108547114e-14, (2, 3): 1.42108547114e-14, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.32830643592e-10, (1, 8): 5.29395591893e-23, (8, 8): 1.38777878041e-17, (2, 4): 0.0, }, ]
+63 Stop [{(4, 7): 0.0, (1, 3): 9.09494701716e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.81898940343e-12, (8, 9): 1.81898940343e-12, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.654361225e-24, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999937, (1, 4): 1.77635683929e-15, (2, 3): 1.77635683929e-15, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.82076609098e-11, (1, 8): 1.654361225e-24, (8, 8): 8.67361737934e-19, (2, 4): 0.0, }, ]
+64 East [{(4, 7): 0.0, (1, 3): 2.2737367544e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.2737367544e-13, (8, 9): 2.2737367544e-13, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.16987882838e-26, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999985, (1, 4): 2.22044604922e-16, (2, 3): 2.22044604922e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.45519152281e-11, (1, 8): 5.16987882838e-26, (8, 8): 5.42101086234e-20, (2, 4): 0.0, }, ]
+65 East [{(4, 7): 0.0, (1, 3): 2.27373675442e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.84217094303e-14, (8, 9): 2.84217094303e-14, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.46234853555e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999996, (1, 4): 1.11022302462e-16, (2, 3): 1.11022302462e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.63797880708e-12, (1, 8): 6.46234853555e-27, (8, 8): 3.388131789e-21, (2, 4): 0.0, }, ]
+66 Stop [{(4, 7): 0.0, (1, 3): 9.09494701771e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.55271367879e-15, (8, 9): 3.55271367879e-15, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.23117426778e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 0.999999999998, (1, 4): 2.22044604925e-16, (2, 3): 2.22044604925e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 9.09494701771e-13, (1, 8): 3.23117426778e-27, (8, 8): 2.11758236813e-22, (2, 4): 0.0, }, ]
+67 West [{(4, 7): 0.0, (1, 3): 2.27373675443e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.4408920985e-16, (8, 9): 4.4408920985e-16, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.61558713389e-27, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.11022302462e-16, (2, 3): 1.11022302462e-16, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.27373675443e-13, (1, 8): 1.61558713389e-27, (8, 8): 1.32348898008e-23, (2, 4): 0.0, }, ]
+68 West [{(4, 7): 0.0, (1, 3): 2.27373675443e-13, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.55111512312e-17, (8, 9): 5.55111512312e-17, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.01948391737e-28, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 5.55111512312e-17, (2, 3): 5.55111512312e-17, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.68434188608e-14, (1, 8): 2.01948391737e-28, (8, 8): 8.27180612553e-25, (2, 4): 0.0, }, ]
+69 Stop [{(4, 7): 0.0, (1, 3): 5.68434188608e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.93889390391e-18, (8, 9): 6.93889390391e-18, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.31088724177e-30, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.93889390391e-18, (2, 3): 6.93889390391e-18, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.42108547152e-14, (1, 8): 6.31088724177e-30, (8, 8): 5.16987882846e-26, (2, 4): 0.0, }, ]
+70 East [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.67361737988e-19, (8, 9): 8.67361737988e-19, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.97215226305e-31, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.67361737988e-19, (2, 3): 8.67361737988e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.5527136788e-15, (1, 8): 1.97215226305e-31, (8, 8): 3.23117426779e-27, (2, 4): 0.0, }, ]
+71 Stop [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.08420217249e-19, (8, 9): 1.08420217249e-19, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.46519032882e-32, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.33680868994e-19, (2, 3): 4.33680868994e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.881784197e-16, (1, 8): 2.46519032882e-32, (8, 8): 2.01948391737e-28, (2, 4): 0.0, }, ]
+72 South [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.35525271561e-20, (8, 9): 1.35525271561e-20, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.08148791102e-33, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.16840434497e-19, (2, 3): 2.16840434497e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 3.08148791102e-33, (8, 8): 1.26217744835e-29, (2, 4): 0.0, }, ]
+73 East [{(4, 7): 0.0, (1, 3): 1.42108547152e-14, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.77626357803e-21, (8, 9): 6.77626357803e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.54074395551e-33, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.08420217249e-19, (2, 3): 1.08420217249e-19, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 1.54074395551e-33, (8, 8): 3.15544362088e-30, (2, 4): 0.0, }, ]
+74 West [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.35525271561e-20, (8, 9): 1.35525271561e-20, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.70371977755e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 5.42101086243e-20, (2, 3): 5.42101086243e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 7.70371977755e-34, (8, 8): 3.15544362088e-30, (2, 4): 0.0, }, ]
+75 Stop [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.77626357803e-21, (8, 9): 6.77626357803e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.85185988877e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.71050543121e-20, (2, 3): 2.71050543121e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 3.85185988877e-34, (8, 8): 7.88860905221e-31, (2, 4): 0.0, }, ]
+76 South [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.38813178902e-21, (8, 9): 3.38813178902e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.92592994439e-34, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.22044604925e-16, (1, 8): 1.92592994439e-34, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+77 East [{(4, 7): 0.0, (1, 3): 3.5527136788e-15, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.62964972194e-35, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.55111512313e-17, (1, 8): 9.62964972194e-35, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+78 Stop [{(4, 7): 0.0, (1, 3): 8.881784197e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.47032947254e-22, (8, 9): 8.47032947254e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.20370621524e-35, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.38777878078e-17, (1, 8): 1.20370621524e-35, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+79 Stop [{(4, 7): 0.0, (1, 3): 8.881784197e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 6.01853107621e-36, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.38777878078e-17, (1, 8): 6.01853107621e-36, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+80 West [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.47032947254e-22, (8, 9): 8.47032947254e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.46944695195e-18, (1, 8): 7.52316384526e-37, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+81 North [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.23516473627e-22, (8, 9): 4.23516473627e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 3.76158192263e-37, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+82 North [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.11758236814e-22, (8, 9): 2.11758236814e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.88079096132e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 1.88079096132e-37, (8, 8): 4.93038065763e-32, (2, 4): 0.0, }, ]
+83 East [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.69406589451e-21, (8, 9): 1.69406589451e-21, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.50463276905e-36, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.46944695195e-18, (1, 8): 1.50463276905e-36, (8, 8): 1.97215226305e-31, (2, 4): 0.0, }, ]
+84 Stop [{(4, 7): 0.0, (1, 3): 2.22044604925e-16, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.11758236814e-22, (8, 9): 2.11758236814e-22, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.67361737988e-19, (1, 8): 7.52316384526e-37, (8, 8): 1.23259516441e-32, (2, 4): 0.0, }, ]
+85 Stop [{(4, 7): 0.0, (1, 3): 5.55111512313e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.64697796017e-23, (8, 9): 2.64697796017e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 3.76158192263e-37, (8, 8): 7.70371977755e-34, (2, 4): 0.0, }, ]
+86 South [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.32348898008e-23, (8, 9): 1.32348898008e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.52316384526e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 7.52316384526e-37, (8, 8): 1.92592994439e-34, (2, 4): 0.0, }, ]
+87 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.64697796017e-23, (8, 9): 2.64697796017e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.76158192263e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 3.76158192263e-37, (8, 8): 7.70371977755e-34, (2, 4): 0.0, }, ]
+88 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.32348898008e-23, (8, 9): 1.32348898008e-23, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.88079096132e-37, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 1.88079096132e-37, (8, 8): 1.92592994439e-34, (2, 4): 0.0, }, ]
+89 South [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 6.61744490042e-24, (8, 9): 6.61744490042e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.40395480658e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.16840434497e-19, (1, 8): 9.40395480658e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+90 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 3.30872245021e-24, (8, 9): 3.30872245021e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.70197740329e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.42101086243e-20, (1, 8): 4.70197740329e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+91 East [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.65436122511e-24, (8, 9): 1.65436122511e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 9.40395480658e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 6.77626357803e-21, (2, 3): 6.77626357803e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.35525271561e-20, (1, 8): 9.40395480658e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+92 West [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.27180612553e-25, (8, 9): 8.27180612553e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 4.70197740329e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.35525271561e-20, (2, 3): 1.35525271561e-20, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 4.70197740329e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+93 East [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.65436122511e-24, (8, 9): 1.65436122511e-24, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.35098870164e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.35525271561e-20, (1, 8): 2.35098870164e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+94 North [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 8.27180612553e-25, (8, 9): 8.27180612553e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.17549435082e-38, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 8.47032947254e-22, (2, 3): 8.47032947254e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 1.17549435082e-38, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+95 South [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 4.13590306277e-25, (8, 9): 4.13590306277e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 5.87747175411e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 3.38813178902e-21, (1, 8): 5.87747175411e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+96 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.06795153138e-25, (8, 9): 2.06795153138e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.93873587706e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.11758236814e-22, (2, 3): 2.11758236814e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 8.47032947254e-22, (1, 8): 2.93873587706e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+97 Stop [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 1.03397576569e-25, (8, 9): 1.03397576569e-25, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.46936793853e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 2.11758236814e-22, (1, 8): 1.46936793853e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+98 West [{(4, 7): 0.0, (1, 3): 3.46944695195e-18, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.16987882846e-26, (8, 9): 5.16987882846e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 7.34683969264e-40, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 2.11758236814e-22, (2, 3): 2.11758236814e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 5.29395592034e-23, (1, 8): 7.34683969264e-40, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+99 North [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.58493941423e-26, (8, 9): 2.58493941423e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 1.46936793853e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 1.69406589451e-21, (2, 3): 1.69406589451e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 1.46936793853e-39, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+100 Stop [{(4, 7): 0.0, (1, 3): 5.55111512313e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 5.16987882846e-26, (8, 9): 5.16987882846e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 2.93873587706e-39, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 3.38813178902e-21, (2, 3): 3.38813178902e-21, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 2.93873587706e-39, (8, 8): 4.81482486097e-35, (2, 4): 0.0, }, ]
+101 None [{(4, 7): 0.0, (1, 3): 1.38777878078e-17, (6, 6): 0.0, (5, 6): 0.0, (2, 8): 0.0, (9, 8): 2.58493941423e-26, (8, 9): 2.58493941423e-26, (6, 7): 0.0, (5, 5): 0.0, (2, 9): 3.67341984632e-40, (1, 1): 0.0, (4, 5): 0.0, (9, 3): 1.0, (1, 4): 4.23516473627e-22, (2, 3): 4.23516473627e-22, (1, 9): 0.0, (6, 5): 0.0, (4, 6): 0.0, (5, 7): 0.0, (9, 9): 1.32348898008e-23, (1, 8): 3.67341984632e-40, (8, 8): 1.20370621524e-35, (2, 4): 0.0, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/3-ParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/3-ParticleUpdate.test
new file mode 100644
index 0000000..af609c5
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/3-ParticleUpdate.test	
@@ -0,0 +1,31 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%  %%%%%  %
+%  %%%%%  %
+%%%%   %%%%
+%%%% P %%%%
+%%%%   %%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.1"
+errorMsg: "Particle filter observe test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/4-ParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/4-ParticleUpdate.solution
new file mode 100644
index 0000000..3913093
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/4-ParticleUpdate.solution	
@@ -0,0 +1,10 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.25, (2, 3): 0.25, (3, 3): 0.25, (4, 3): 0.25, }, ]
+1 East [{(1, 3): 0.0, (2, 3): 0.244094488189, (3, 3): 0.251968503937, (4, 3): 0.503937007874, (1, 1): 0.0, }, ]
+2 Stop [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.832898172324, (4, 3): 0.167101827676, (1, 1): 0.0, }, ]
+3 West [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.828432604507, (4, 3): 0.171567395493, (1, 1): 0.0, }, ]
+4 East [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.707114765821, (4, 3): 0.292885234179, (1, 1): 0.0, }, ]
+5 East [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.905833634776, (4, 3): 0.0941663652244, (1, 1): 0.0, }, ]
+6 None [{(1, 3): 0.0, (2, 3): 0.0, (3, 3): 0.0, (4, 3): 0.0, (1, 1): 0.0, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/4-ParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/4-ParticleUpdate.test
new file mode 100644
index 0000000..346aad0
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/4-ParticleUpdate.test	
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%
+%P  G%
+%%%%%%
+% %%%%
+%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter observe test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/5-ParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/5-ParticleUpdate.solution
new file mode 100644
index 0000000..1e1a6bb
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/5-ParticleUpdate.solution	
@@ -0,0 +1 @@
+# This test checks that you successfully handle the case when all particle weights are set to 0
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/5-ParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/5-ParticleUpdate.test
new file mode 100644
index 0000000..9133368
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/5-ParticleUpdate.test	
@@ -0,0 +1,43 @@
+class: "ZeroWeightTest"
+
+seed: "188"
+
+layout: """
+%%%%%
+%P%G%
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%%%%
+% %%%
+%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+maxMoves: "100"
+
+numGhosts: "1"
+
+errorMsg: "Particle filter observe test: %d inference errors."
+ghost: "GoSouthAgent"
+inference: "ParticleFilter"
+
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/6-ParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/6-ParticleUpdate.solution
new file mode 100644
index 0000000..37d65ca
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/6-ParticleUpdate.solution	
@@ -0,0 +1 @@
+# You must win at least 8/10 games with at least 100 points
\ No newline at end of file
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/6-ParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/6-ParticleUpdate.test
new file mode 100644
index 0000000..573d6b7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/6-ParticleUpdate.test	
@@ -0,0 +1,29 @@
+class: "GameScoreTest"
+
+numRuns: "10"
+numWinsForCredit: "8"
+layout_name: "oneHunt"
+min_score: "100"
+
+layout_str: """
+%%%%%%%%%%
+%    G   %
+%  P     %
+%        %
+%        %
+%        %
+%%%%%%%%%%
+% %%%%%%%%
+%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+maxMoves: "100"
+numGhosts: "1"
+
+
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q6/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/CONFIG
new file mode 100644
index 0000000..64a4dd7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q6/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/1-ParticlePredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/1-ParticlePredict.solution
new file mode 100644
index 0000000..427f529
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/1-ParticlePredict.solution	
@@ -0,0 +1,45 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+1 Stop [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+2 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+3 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+4 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+5 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+6 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+7 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+8 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+9 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+10 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+11 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+12 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+13 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+14 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+15 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+16 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+17 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+18 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+19 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+20 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+21 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+22 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+23 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+24 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+25 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+26 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+27 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+28 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+29 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+30 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+31 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+32 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+33 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+34 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+35 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+36 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+37 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+38 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+39 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+40 Stop [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+41 None [{(2.0, 7.0): 0.0588235294118, (4.0, 7.0): 0.0588235294118, (1.0, 3.0): 0.0588235294118, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0588235294118, (5.0, 4.0): 0.0588235294118, (1.0, 4.0): 0.0588235294118, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0588235294118, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0588235294118, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/1-ParticlePredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/1-ParticlePredict.test
new file mode 100644
index 0000000..cafcca9
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/1-ParticlePredict.test	
@@ -0,0 +1,29 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%
+%   G %
+% %%% %
+% %P% %
+% %%% %
+%     %
+%%%%%%%
+% %%%%%
+%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "40"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/2-ParticlePredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/2-ParticlePredict.solution
new file mode 100644
index 0000000..61b62c5
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/2-ParticlePredict.solution	
@@ -0,0 +1,45 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+1 Stop [{(2, 7): 0.0588235294118, (4, 7): 0.0588235294118, (1, 3): 0.0588235294118, (3, 3): 0.0588235294118, (1, 6): 0.0588235294118, (5, 6): 0.0588235294118, (5, 7): 0.0588235294118, (5, 4): 0.0588235294118, (1, 4): 0.0588235294118, (1, 5): 0.0588235294118, (3, 5): 0.0588235294118, (2, 3): 0.0588235294118, (4, 3): 0.0588235294118, (1, 7): 0.0588235294118, (3, 7): 0.0588235294118, (5, 3): 0.0588235294118, (5, 5): 0.0588235294118, }, ]
+2 Stop [{(2.0, 7.0): 0.0539215686275, (4.0, 7.0): 0.0539215686275, (1.0, 3.0): 0.0686274509804, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0588235294118, (5.0, 6.0): 0.0588235294118, (5.0, 7.0): 0.0490196078431, (5.0, 4.0): 0.0637254901961, (1.0, 4.0): 0.0637254901961, (1.0, 5.0): 0.0588235294118, (2.0, 3.0): 0.0588235294118, (4.0, 3.0): 0.0588235294118, (1.0, 7.0): 0.0490196078431, (3.0, 7.0): 0.0588235294118, (5.0, 3.0): 0.0686274509804, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0588235294118, }, ]
+3 Stop [{(2.0, 7.0): 0.0498366013072, (4.0, 7.0): 0.0498366013072, (1.0, 3.0): 0.0743464052288, (3.0, 3.0): 0.0588235294118, (1.0, 6.0): 0.0539215686275, (5.0, 6.0): 0.0539215686275, (5.0, 7.0): 0.0449346405229, (5.0, 4.0): 0.0682189542484, (1.0, 4.0): 0.0682189542484, (1.0, 5.0): 0.0600490196078, (2.0, 3.0): 0.062091503268, (4.0, 3.0): 0.062091503268, (1.0, 7.0): 0.0449346405229, (3.0, 7.0): 0.0555555555556, (5.0, 3.0): 0.0743464052288, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0600490196078, }, ]
+4 Stop [{(2.0, 7.0): 0.046364379085, (4.0, 7.0): 0.046364379085, (1.0, 3.0): 0.0795887799564, (3.0, 3.0): 0.0610021786492, (1.0, 6.0): 0.0509599673203, (5.0, 6.0): 0.0509599673203, (5.0, 7.0): 0.0413262527233, (5.0, 4.0): 0.0718613834423, (1.0, 4.0): 0.0718613834423, (1.0, 5.0): 0.0590277777778, (2.0, 3.0): 0.0650871459695, (4.0, 3.0): 0.0650871459695, (1.0, 7.0): 0.0413262527233, (3.0, 7.0): 0.05174291939, (5.0, 3.0): 0.0795887799564, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0590277777778, }, ]
+5 Stop [{(2.0, 7.0): 0.0430339960058, (4.0, 7.0): 0.0430339960058, (1.0, 3.0): 0.0841560003631, (3.0, 3.0): 0.0637254901961, (1.0, 6.0): 0.0481600626362, (5.0, 6.0): 0.0481600626362, (5.0, 7.0): 0.0385263480392, (5.0, 4.0): 0.0740088280683, (1.0, 4.0): 0.0740088280683, (1.0, 5.0): 0.0582022739651, (2.0, 3.0): 0.0685593681917, (4.0, 3.0): 0.0685593681917, (1.0, 7.0): 0.0385263480392, (3.0, 7.0): 0.0481572258533, (5.0, 3.0): 0.0841560003631, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0582022739651, }, ]
+6 Stop [{(2.0, 7.0): 0.0400286609628, (4.0, 7.0): 0.0400286609628, (1.0, 3.0): 0.0879095368857, (3.0, 3.0): 0.0669480755265, (1.0, 6.0): 0.0458537581699, (5.0, 6.0): 0.0458537581699, (5.0, 7.0): 0.0360162680041, (5.0, 4.0): 0.0756553441207, (1.0, 4.0): 0.0756553441207, (1.0, 5.0): 0.0571328068264, (2.0, 3.0): 0.072146952917, (4.0, 3.0): 0.072146952917, (1.0, 7.0): 0.0360162680041, (3.0, 7.0): 0.0447417392883, (5.0, 3.0): 0.0879095368857, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0571328068264, }, ]
+7 Stop [{(2.0, 7.0): 0.0372608670847, (4.0, 7.0): 0.0372608670847, (1.0, 3.0): 0.0911798353279, (3.0, 3.0): 0.0704139937868, (1.0, 6.0): 0.0437547752511, (5.0, 6.0): 0.0437547752511, (5.0, 7.0): 0.0338103935311, (5.0, 4.0): 0.0767834184053, (1.0, 4.0): 0.0767834184053, (1.0, 5.0): 0.0561239168217, (2.0, 3.0): 0.0756681884431, (4.0, 3.0): 0.0756681884431, (1.0, 7.0): 0.0338103935311, (3.0, 7.0): 0.0415996870713, (5.0, 3.0): 0.0911798353279, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0561239168217, }, ]
+8 Stop [{(2.0, 7.0): 0.0347394497681, (4.0, 7.0): 0.0347394497681, (1.0, 3.0): 0.0940077171263, (3.0, 3.0): 0.0739167902243, (1.0, 6.0): 0.0418748697838, (5.0, 6.0): 0.0418748697838, (5.0, 7.0): 0.0318115812238, (5.0, 4.0): 0.0776510914548, (1.0, 4.0): 0.0776510914548, (1.0, 5.0): 0.0551042214323, (2.0, 3.0): 0.0790873391859, (4.0, 3.0): 0.0790873391859, (1.0, 7.0): 0.0318115812238, (3.0, 7.0): 0.0387071404136, (5.0, 3.0): 0.0940077171263, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0551042214323, }, ]
+9 Stop [{(2.0, 7.0): 0.0324350920332, (4.0, 7.0): 0.0324350920332, (1.0, 3.0): 0.0965238978315, (3.0, 3.0): 0.0773638228654, (1.0, 6.0): 0.0401505634159, (5.0, 6.0): 0.0401505634159, (5.0, 7.0): 0.0300014293413, (5.0, 4.0): 0.0783007892886, (1.0, 4.0): 0.0783007892886, (1.0, 5.0): 0.0541262631137, (2.0, 3.0): 0.0823372821789, (4.0, 3.0): 0.0823372821789, (1.0, 7.0): 0.0300014293413, (3.0, 7.0): 0.0360620133166, (5.0, 3.0): 0.0965238978315, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0541262631137, }, ]
+10 Stop [{(2.0, 7.0): 0.0303327257853, (4.0, 7.0): 0.0303327257853, (1.0, 3.0): 0.0987707879811, (3.0, 3.0): 0.0806794624077, (1.0, 6.0): 0.038569921303, (5.0, 6.0): 0.038569921303, (5.0, 7.0): 0.0283496955337, (5.0, 4.0): 0.0788129614895, (1.0, 4.0): 0.0788129614895, (1.0, 5.0): 0.0531820448086, (2.0, 3.0): 0.0854083342919, (4.0, 3.0): 0.0854083342919, (1.0, 7.0): 0.0283496955337, (3.0, 7.0): 0.0336440657943, (5.0, 3.0): 0.0987707879811, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0531820448086, }, ]
+11 Stop [{(2.0, 7.0): 0.0284130210766, (4.0, 7.0): 0.0284130210766, (1.0, 3.0): 0.100799521502, (3.0, 3.0): 0.0838320436638, (1.0, 6.0): 0.0371128392948, (5.0, 6.0): 0.0371128392948, (5.0, 7.0): 0.0268408128043, (5.0, 4.0): 0.0792178587704, (1.0, 4.0): 0.0792178587704, (1.0, 5.0): 0.052283712226, (2.0, 3.0): 0.0882861948936, (4.0, 3.0): 0.0882861948936, (1.0, 7.0): 0.0268408128043, (3.0, 7.0): 0.0314365057883, (5.0, 3.0): 0.100799521502, (1, 1): 0.0588235294118, (5.0, 5.0): 0.052283712226, }, ]
+12 Stop [{(2.0, 7.0): 0.0266600454894, (4.0, 7.0): 0.0266600454894, (1.0, 3.0): 0.102637501517, (3.0, 3.0): 0.086801477817, (1.0, 6.0): 0.0357695442823, (5.0, 6.0): 0.0357695442823, (5.0, 7.0): 0.0254594200503, (5.0, 4.0): 0.0795461613064, (1.0, 4.0): 0.0795461613064, (1.0, 5.0): 0.0514318123965, (2.0, 3.0): 0.0909725866866, (4.0, 3.0): 0.0909725866866, (1.0, 7.0): 0.0254594200503, (3.0, 7.0): 0.0294208493139, (5.0, 3.0): 0.102637501517, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0514318123965, }, ]
+13 Stop [{(2.0, 7.0): 0.0250584866137, (4.0, 7.0): 0.0250584866137, (1.0, 3.0): 0.104309776721, (3.0, 3.0): 0.0895822170634, (1.0, 6.0): 0.0345300491949, (5.0, 6.0): 0.0345300491949, (5.0, 7.0): 0.024193922913, (5.0, 4.0): 0.0798149470306, (1.0, 4.0): 0.0798149470306, (1.0, 5.0): 0.0506292655669, (2.0, 3.0): 0.0934705220069, (4.0, 3.0): 0.0934705220069, (1.0, 7.0): 0.024193922913, (3.0, 7.0): 0.0275803134309, (5.0, 3.0): 0.104309776721, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0506292655669, }, ]
+14 Stop [{(2.0, 7.0): 0.0235947474097, (4.0, 7.0): 0.0235947474097, (1.0, 3.0): 0.105834239758, (3.0, 3.0): 0.0921744203591, (1.0, 6.0): 0.0333867901469, (5.0, 6.0): 0.0333867901469, (5.0, 7.0): 0.0230338218982, (5.0, 4.0): 0.0800382951148, (1.0, 4.0): 0.0800382951148, (1.0, 5.0): 0.0498760777468, (2.0, 3.0): 0.0957875052638, (4.0, 3.0): 0.0957875052638, (1.0, 7.0): 0.0230338218982, (3.0, 7.0): 0.0258990955527, (5.0, 3.0): 0.105834239758, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0498760777468, }, ]
+15 Stop [{(2.0, 7.0): 0.0222564031287, (4.0, 7.0): 0.0222564031287, (1.0, 3.0): 0.107226395898, (3.0, 3.0): 0.0945831436289, (1.0, 6.0): 0.0323326279225, (5.0, 6.0): 0.0323326279225, (5.0, 7.0): 0.0219700688145, (5.0, 4.0): 0.0802256925714, (1.0, 4.0): 0.0802256925714, (1.0, 5.0): 0.0491719882889, (2.0, 3.0): 0.097932055127, (4.0, 3.0): 0.097932055127, (1.0, 7.0): 0.0219700688145, (3.0, 7.0): 0.0243628634574, (5.0, 3.0): 0.107226395898, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0491719882889, }, ]
+16 Stop [{(2.0, 7.0): 0.0210322727323, (4.0, 7.0): 0.0210322727323, (1.0, 3.0): 0.108498996627, (3.0, 3.0): 0.0968157512943, (1.0, 6.0): 0.0313611884601, (5.0, 6.0): 0.0313611884601, (5.0, 7.0): 0.0209944752272, (5.0, 4.0): 0.0803845492533, (1.0, 4.0): 0.0803845492533, (1.0, 5.0): 0.0485157341763, (2.0, 3.0): 0.0999138648846, (4.0, 3.0): 0.0999138648846, (1.0, 7.0): 0.0209944752272, (3.0, 7.0): 0.0229585565716, (5.0, 3.0): 0.108498996627, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0485157341763, }, ]
+17 Stop [{(2.0, 7.0): 0.0199122285748, (4.0, 7.0): 0.0199122285748, (1.0, 3.0): 0.109663228464, (3.0, 3.0): 0.0988811603545, (1.0, 6.0): 0.0304664682727, (5.0, 6.0): 0.0304664682727, (5.0, 7.0): 0.0200996734993, (5.0, 4.0): 0.0805203366106, (1.0, 4.0): 0.0805203366106, (1.0, 5.0): 0.0479056650875, (2.0, 3.0): 0.101742870935, (4.0, 3.0): 0.101742870935, (1.0, 7.0): 0.0200996734993, (3.0, 7.0): 0.0216743673454, (5.0, 3.0): 0.109663228464, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0479056650875, }, ]
+18 Stop [{(2.0, 7.0): 0.0188871170149, (4.0, 7.0): 0.0188871170149, (1.0, 3.0): 0.110728868105, (3.0, 3.0): 0.100788967408, (1.0, 6.0): 0.0296428700897, (5.0, 6.0): 0.0296428700897, (5.0, 7.0): 0.0192789449679, (5.0, 4.0): 0.0806373261844, (1.0, 4.0): 0.0806373261844, (1.0, 5.0): 0.0473397345609, (2.0, 3.0): 0.103429086585, (4.0, 3.0): 0.103429086585, (1.0, 7.0): 0.0192789449679, (3.0, 7.0): 0.020499608165, (5.0, 3.0): 0.110728868105, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0473397345609, }, ]
+19 Stop [{(2.0, 7.0): 0.0179486446353, (4.0, 7.0): 0.0179486446353, (1.0, 3.0): 0.111704647989, (3.0, 3.0): 0.102549046859, (1.0, 6.0): 0.0288851236466, (5.0, 6.0): 0.0288851236466, (5.0, 7.0): 0.018526159436, (5.0, 4.0): 0.0807388215282, (1.0, 4.0): 0.0807388215282, (1.0, 5.0): 0.0468157002311, (2.0, 3.0): 0.104982307366, (4.0, 3.0): 0.104982307366, (1.0, 7.0): 0.018526159436, (3.0, 7.0): 0.0194246140649, (5.0, 3.0): 0.111704647989, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0468157002311, }, ]
+20 Stop [{(2.0, 7.0): 0.0170892927591, (4.0, 7.0): 0.0170892927591, (1.0, 3.0): 0.112598395882, (3.0, 3.0): 0.10417122053, (1.0, 6.0): 0.0281882856874, (5.0, 6.0): 0.0281882856874, (5.0, 7.0): 0.0178357023157, (5.0, 4.0): 0.0808274381605, (1.0, 4.0): 0.0808274381605, (1.0, 5.0): 0.0463311922631, (2.0, 3.0): 0.106412000738, (4.0, 3.0): 0.106412000738, (1.0, 7.0): 0.0178357023157, (3.0, 7.0): 0.0184406344451, (5.0, 3.0): 0.112598395882, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0463311922631, }, ]
+21 Stop [{(2.0, 7.0): 0.016302234647, (4.0, 7.0): 0.016302234647, (1.0, 3.0): 0.11341718462, (3.0, 3.0): 0.105665074002, (1.0, 6.0): 0.0275477206455, (5.0, 6.0): 0.0275477206455, (5.0, 7.0): 0.0172024279205, (5.0, 4.0): 0.0809052542992, (1.0, 4.0): 0.0809052542992, (1.0, 5.0): 0.0458838004496, (2.0, 3.0): 0.107727205717, (4.0, 3.0): 0.107727205717, (1.0, 7.0): 0.0172024279205, (3.0, 7.0): 0.0175397399878, (5.0, 3.0): 0.11341718462, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0458838004496, }, ]
+22 Stop [{(2.0, 7.0): 0.0155812651917, (4.0, 7.0): 0.0155812651917, (1.0, 3.0): 0.114167423929, (3.0, 3.0): 0.107039828479, (1.0, 6.0): 0.026959094234, (5.0, 6.0): 0.026959094234, (5.0, 7.0): 0.0166216153572, (5.0, 4.0): 0.0809739420064, (1.0, 4.0): 0.0809739420064, (1.0, 5.0): 0.04547112401, (2.0, 3.0): 0.108936488113, (4.0, 3.0): 0.108936488113, (1.0, 7.0): 0.0166216153572, (3.0, 7.0): 0.0167147364273, (5.0, 3.0): 0.114167423929, (1, 1): 0.0588235294118, (5.0, 5.0): 0.04547112401, }, ]
+23 Stop [{(2.0, 7.0): 0.0149207377123, (4.0, 7.0): 0.0149207377123, (1.0, 3.0): 0.114854941684, (3.0, 3.0): 0.108304268235, (1.0, 6.0): 0.0264183622396, (5.0, 6.0): 0.0264183622396, (5.0, 7.0): 0.0160889324617, (5.0, 4.0): 0.0810348554828, (1.0, 4.0): 0.0810348554828, (1.0, 5.0): 0.0450908136211, (2.0, 3.0): 0.110047913507, (4.0, 3.0): 0.110047913507, (1.0, 7.0): 0.0160889324617, (3.0, 7.0): 0.0159590889369, (5.0, 3.0): 0.114854941684, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0450908136211, }, ]
+24 Stop [{(2.0, 7.0): 0.0143155086651, (4.0, 7.0): 0.0143155086651, (1.0, 3.0): 0.115485046138, (3.0, 3.0): 0.109466698416, (1.0, 6.0): 0.025921760196, (5.0, 6.0): 0.025921760196, (5.0, 7.0): 0.0156004029127, (5.0, 4.0): 0.0810891012425, (1.0, 4.0): 0.0810891012425, (1.0, 5.0): 0.0447405983958, (2.0, 3.0): 0.111069041142, (4.0, 3.0): 0.111069041142, (1.0, 7.0): 0.0156004029127, (3.0, 7.0): 0.0152668547871, (5.0, 3.0): 0.115485046138, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0447405983958, }, ]
+25 Stop [{(2.0, 7.0): 0.0137608885456, (4.0, 7.0): 0.0137608885456, (1.0, 3.0): 0.116062579715, (3.0, 3.0): 0.1105349269, (1.0, 6.0): 0.0254657911043, (5.0, 6.0): 0.0254657911043, (5.0, 7.0): 0.0151523769989, (5.0, 4.0): 0.081137589888, (1.0, 4.0): 0.081137589888, (1.0, 5.0): 0.0444183050076, (2.0, 3.0): 0.112006928565, (4.0, 3.0): 0.112006928565, (1.0, 7.0): 0.0151523769989, (3.0, 7.0): 0.0146326240391, (5.0, 3.0): 0.116062579715, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0444183050076, }, ]
+26 Stop [{(2.0, 7.0): 0.0132525984446, (4.0, 7.0): 0.0132525984446, (1.0, 3.0): 0.116591964371, (3.0, 3.0): 0.111516261344, (1.0, 6.0): 0.0250472125274, (5.0, 6.0): 0.0250472125274, (5.0, 7.0): 0.0147415048743, (5.0, 4.0): 0.0811810765473, (1.0, 4.0): 0.0811810765473, (1.0, 5.0): 0.044121869276, (2.0, 3.0): 0.11286814506, (4.0, 3.0): 0.11286814506, (1.0, 7.0): 0.0147415048743, (3.0, 7.0): 0.0140514670435, (5.0, 3.0): 0.116591964371, (1, 1): 0.0588235294118, (5.0, 5.0): 0.044121869276, }, ]
+27 Stop [{(2.0, 7.0): 0.0127867313813, (4.0, 7.0): 0.0127867313813, (1.0, 3.0): 0.117077241417, (3.0, 3.0): 0.112417517155, (1.0, 6.0): 0.024663022888, (5.0, 6.0): 0.024663022888, (5.0, 7.0): 0.0143647121653, (5.0, 4.0): 0.0812201918984, (1.0, 4.0): 0.0812201918984, (1.0, 5.0): 0.0438493427196, (2.0, 3.0): 0.113658790258, (4.0, 3.0): 0.113658790258, (1.0, 7.0): 0.0143647121653, (3.0, 7.0): 0.0135188879776, (5.0, 3.0): 0.117077241417, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0438493427196, }, ]
+28 Stop [{(2.0, 7.0): 0.0123597178276, (4.0, 7.0): 0.0123597178276, (1.0, 3.0): 0.117522106508, (3.0, 3.0): 0.113245032557, (1.0, 6.0): 0.0243104474846, (5.0, 6.0): 0.0243104474846, (5.0, 7.0): 0.0140191775571, (5.0, 4.0): 0.0812554664735, (1.0, 4.0): 0.0812554664735, (1.0, 5.0): 0.0435988950985, (2.0, 3.0): 0.114384516277, (4.0, 3.0): 0.114384516277, (1.0, 7.0): 0.0140191775571, (3.0, 7.0): 0.0130307835801, (5.0, 3.0): 0.117522106508, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0435988950985, }, ]
+29 Stop [{(2.0, 7.0): 0.0119682948585, (4.0, 7.0): 0.0119682948585, (1.0, 3.0): 0.117929940832, (3.0, 3.0): 0.11400468837, (1.0, 6.0): 0.0239869244243, (5.0, 6.0): 0.0239869244243, (5.0, 7.0): 0.013702312203, (5.0, 4.0): 0.0812873496702, (1.0, 4.0): 0.0812873496702, (1.0, 5.0): 0.0433688141353, (2.0, 3.0): 0.11505055178, (4.0, 3.0): 0.11505055178, (1.0, 7.0): 0.013702312203, (3.0, 7.0): 0.0125834064118, (5.0, 3.0): 0.117929940832, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0433688141353, }, ]
+30 Stop [{(2.0, 7.0): 0.0116094784742, (4.0, 7.0): 0.0116094784742, (1.0, 3.0): 0.118303839039, (3.0, 3.0): 0.114701930644, (1.0, 6.0): 0.0236900907414, (5.0, 6.0): 0.0236900907414, (5.0, 7.0): 0.0134117407763, (5.0, 4.0): 0.0813162247624, (1.0, 4.0): 0.0813162247624, (1.0, 5.0): 0.0431575031635, (2.0, 3.0): 0.115661726994, (4.0, 3.0): 0.115661726994, (1.0, 7.0): 0.0134117407763, (3.0, 7.0): 0.0121733320429, (5.0, 3.0): 0.118303839039, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0431575031635, }, ]
+31 Stop [{(2.0, 7.0): 0.0112805386998, (4.0, 7.0): 0.0112805386998, (1.0, 3.0): 0.118646634392, (3.0, 3.0): 0.115341794877, (1.0, 6.0): 0.0234177688644, (5.0, 6.0): 0.0234177688644, (5.0, 7.0): 0.0131452840375, (5.0, 4.0): 0.0813424207854, (1.0, 4.0): 0.0813424207854, (1.0, 5.0): 0.0429634773522, (2.0, 3.0): 0.116222498892, (4.0, 3.0): 0.116222498892, (1.0, 7.0): 0.0131452840375, (3.0, 7.0): 0.0117974296638, (5.0, 3.0): 0.118646634392, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0429634773522, }, ]
+32 Stop [{(2.0, 7.0): 0.0109789771305, (4.0, 7.0): 0.0109789771305, (1.0, 3.0): 0.118960921488, (3.0, 3.0): 0.115928930887, (1.0, 6.0): 0.0231679535729, (5.0, 6.0): 0.0231679535729, (5.0, 7.0): 0.0129009427921, (5.0, 4.0): 0.0813662220032, (1.0, 4.0): 0.0813662220032, (1.0, 5.0): 0.0427853589666, (2.0, 3.0): 0.116736976054, (4.0, 3.0): 0.116736976054, (1.0, 7.0): 0.0129009427921, (3.0, 7.0): 0.0114528356878, (5.0, 3.0): 0.118960921488, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0427853589666, }, ]
+33 Stop [{(2.0, 7.0): 0.0107025066375, (4.0, 7.0): 0.0107025066375, (1.0, 3.0): 0.119249076849, (3.0, 3.0): 0.116467627665, (1.0, 6.0): 0.0229387995309, (5.0, 6.0): 0.0229387995309, (5.0, 7.0): 0.0126768831347, (5.0, 4.0): 0.0813878754799, (1.0, 4.0): 0.0813878754799, (1.0, 5.0): 0.0426218720289, (2.0, 3.0): 0.11720894281, (4.0, 3.0): 0.11720894281, (1.0, 7.0): 0.0126768831347, (3.0, 7.0): 0.011136929983, (5.0, 3.0): 0.119249076849, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0426218720289, }, ]
+34 Stop [{(2.0, 7.0): 0.0104490329905, (4.0, 7.0): 0.0104490329905, (1.0, 3.0): 0.119513277626, (3.0, 3.0): 0.116961837761, (1.0, 6.0): 0.0227286094573, (5.0, 6.0): 0.0227286094573, (5.0, 7.0): 0.0124714228789, (5.0, 4.0): 0.0814075971673, (1.0, 4.0): 0.0814075971673, (1.0, 5.0): 0.0424718366426, (2.0, 3.0): 0.117641882441, (4.0, 3.0): 0.117641882441, (1.0, 7.0): 0.0124714228789, (3.0, 7.0): 0.0108473144193, (5.0, 3.0): 0.119513277626, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0424718366426, }, ]
+35 Stop [{(2.0, 7.0): 0.0102166381896, (4.0, 7.0): 0.0102166381896, (1.0, 3.0): 0.119755518606, (3.0, 3.0): 0.117415200881, (1.0, 6.0): 0.0225358229644, (5.0, 6.0): 0.0225358229644, (5.0, 7.0): 0.0122830190809, (5.0, 4.0): 0.0814255768218, (1.0, 4.0): 0.0814255768218, (1.0, 5.0): 0.0423341631811, (2.0, 3.0): 0.118038999276, (4.0, 3.0): 0.118038999276, (1.0, 7.0): 0.0122830190809, (3.0, 7.0): 0.0105817934668, (5.0, 3.0): 0.119755518606, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0423341631811, }, ]
+36 Stop [{(2.0, 7.0): 0.0100035653224, (4.0, 7.0): 0.0100035653224, (1.0, 3.0): 0.119977627705, (3.0, 3.0): 0.117831066478, (1.0, 6.0): 0.0223590060768, (5.0, 6.0): 0.0223590060768, (5.0, 7.0): 0.0121102565745, (5.0, 4.0): 0.081441981998, (1.0, 4.0): 0.081441981998, (1.0, 5.0): 0.042207846483, (2.0, 3.0): 0.118403239588, (4.0, 3.0): 0.118403239588, (1.0, 7.0): 0.0121102565745, (3.0, 7.0): 0.0103383566154, (5.0, 3.0): 0.119977627705, (1, 1): 0.0588235294118, (5.0, 5.0): 0.042207846483, }, ]
+37 Stop [{(2.0, 7.0): 0.00980820478954, (4.0, 7.0): 0.00980820478954, (1.0, 3.0): 0.120181280097, (3.0, 3.0): 0.118212515218, (1.0, 6.0): 0.0221968414272, (5.0, 6.0): 0.0221968414272, (5.0, 7.0): 0.011951837437, (5.0, 4.0): 0.0814569613093, (1.0, 4.0): 0.0814569613093, (1.0, 5.0): 0.0420919601587, (2.0, 3.0): 0.118737311257, (4.0, 3.0): 0.118737311257, (1.0, 7.0): 0.011951837437, (3.0, 7.0): 0.01011516242, (5.0, 3.0): 0.120181280097, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0420919601587, }, ]
+38 Stop [{(2.0, 7.0): 0.00962908176243, (4.0, 7.0): 0.00962908176243, (1.0, 3.0): 0.120368011106, (3.0, 3.0): 0.118562379244, (1.0, 6.0): 0.022048119115, (5.0, 6.0): 0.022048119115, (5.0, 7.0): 0.0118065713126, (5.0, 4.0): 0.0814706471055, (1.0, 4.0): 0.0814706471055, (1.0, 5.0): 0.0419856510806, (2.0, 3.0): 0.11904370219, (4.0, 3.0): 0.11904370219, (1.0, 7.0): 0.0118065713126, (3.0, 7.0): 0.0099105239997, (5.0, 3.0): 0.120368011106, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0419856510806, }, ]
+39 Stop [{(2.0, 7.0): 0.00946484474885, (4.0, 7.0): 0.00946484474885, (1.0, 3.0): 0.120539227985, (3.0, 3.0): 0.118883261208, (1.0, 6.0): 0.0219117282052, (5.0, 6.0): 0.0219117282052, (5.0, 7.0): 0.0116733665277, (5.0, 4.0): 0.0814831576853, (1.0, 4.0): 0.0814831576853, (1.0, 5.0): 0.041888134104, (2.0, 3.0): 0.119324697513, (4.0, 3.0): 0.119324697513, (1.0, 7.0): 0.0116733665277, (3.0, 7.0): 0.00972289584152, (5.0, 3.0): 0.120539227985, (1, 1): 0.0588235294118, (5.0, 5.0): 0.041888134104, }, ]
+40 Stop [{(2.0, 7.0): 0.00931425516204, (4.0, 7.0): 0.00931425516204, (1.0, 3.0): 0.120696220675, (3.0, 3.0): 0.119177552078, (1.0, 6.0): 0.0217866488411, (5.0, 6.0): 0.0217866488411, (5.0, 7.0): 0.0115512219328, (5.0, 4.0): 0.0814945991349, (1.0, 4.0): 0.0814945991349, (1.0, 5.0): 0.0417986870499, (2.0, 3.0): 0.119582395569, (4.0, 3.0): 0.119582395569, (1.0, 7.0): 0.0115512219328, (3.0, 7.0): 0.00955086177974, (5.0, 3.0): 0.120696220675, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0417986870499, }, ]
+41 None [{(2.0, 7.0): 0.00931425516204, (4.0, 7.0): 0.00931425516204, (1.0, 3.0): 0.120696220675, (3.0, 3.0): 0.119177552078, (1.0, 6.0): 0.0217866488411, (5.0, 6.0): 0.0217866488411, (5.0, 7.0): 0.0115512219328, (5.0, 4.0): 0.0814945991349, (1.0, 4.0): 0.0814945991349, (1.0, 5.0): 0.0417986870499, (2.0, 3.0): 0.119582395569, (4.0, 3.0): 0.119582395569, (1.0, 7.0): 0.0115512219328, (3.0, 7.0): 0.00955086177974, (5.0, 3.0): 0.120696220675, (1, 1): 0.0588235294118, (5.0, 5.0): 0.0417986870499, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/2-ParticlePredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/2-ParticlePredict.test
new file mode 100644
index 0000000..656b9c7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/2-ParticlePredict.test	
@@ -0,0 +1,29 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%
+%  G  %
+% %%% %
+% %P% %
+% %%% %
+%     %
+%%%%%%%
+% %%%%%
+%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "40"
+
+numGhosts: "1"
+ghost: "GoSouthAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/3-ParticlePredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/3-ParticlePredict.solution
new file mode 100644
index 0000000..8daec82
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/3-ParticlePredict.solution	
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(5, 9): 0.0151515151515, (4, 7): 0.0151515151515, (4, 4): 0.0151515151515, (4, 8): 0.0151515151515, (5, 6): 0.0151515151515, (2, 8): 0.0151515151515, (3, 11): 0.0151515151515, (4, 6): 0.0151515151515, (8, 9): 0.0151515151515, (4, 12): 0.0151515151515, (2, 12): 0.0151515151515, (7, 11): 0.0151515151515, (3, 7): 0.0151515151515, (2, 5): 0.0151515151515, (1, 11): 0.0151515151515, (8, 5): 0.0151515151515, (5, 8): 0.0151515151515, (7, 5): 0.0151515151515, (4, 9): 0.0151515151515, (5, 5): 0.0151515151515, (2, 9): 0.0151515151515, (3, 10): 0.0151515151515, (6, 10): 0.0151515151515, (8, 10): 0.0151515151515, (1, 5): 0.0151515151515, (9, 11): 0.0151515151515, (4, 11): 0.0151515151515, (3, 6): 0.0151515151515, (8, 6): 0.0151515151515, (3, 5): 0.0151515151515, (9, 7): 0.0151515151515, (4, 10): 0.0151515151515, (2, 6): 0.0151515151515, (6, 6): 0.0151515151515, (8, 2): 0.0151515151515, (5, 11): 0.0151515151515, (4, 5): 0.0151515151515, (8, 11): 0.0151515151515, (6, 11): 0.0151515151515, (2, 7): 0.0151515151515, (7, 7): 0.0151515151515, (7, 10): 0.0151515151515, (3, 9): 0.0151515151515, (1, 9): 0.0151515151515, (8, 7): 0.0151515151515, (6, 12): 0.0151515151515, (6, 4): 0.0151515151515, (2, 10): 0.0151515151515, (6, 5): 0.0151515151515, (7, 9): 0.0151515151515, (6, 7): 0.0151515151515, (6, 9): 0.0151515151515, (5, 10): 0.0151515151515, (6, 8): 0.0151515151515, (8, 12): 0.0151515151515, (5, 7): 0.0151515151515, (2, 11): 0.0151515151515, (9, 9): 0.0151515151515, (2, 4): 0.0151515151515, (3, 8): 0.0151515151515, (8, 8): 0.0151515151515, (1, 7): 0.0151515151515, (9, 5): 0.0151515151515, (7, 8): 0.0151515151515, (7, 6): 0.0151515151515, (8, 4): 0.0151515151515, }, ]
+1 Stop [{(5, 9): 0.0151515151515, (4, 7): 0.0151515151515, (4, 4): 0.0151515151515, (4, 8): 0.0151515151515, (5, 6): 0.0151515151515, (2, 8): 0.0151515151515, (3, 11): 0.0151515151515, (4, 6): 0.0151515151515, (8, 9): 0.0151515151515, (4, 12): 0.0151515151515, (2, 12): 0.0151515151515, (7, 11): 0.0151515151515, (3, 7): 0.0151515151515, (2, 5): 0.0151515151515, (1, 11): 0.0151515151515, (8, 5): 0.0151515151515, (5, 8): 0.0151515151515, (7, 5): 0.0151515151515, (4, 9): 0.0151515151515, (5, 5): 0.0151515151515, (2, 9): 0.0151515151515, (3, 10): 0.0151515151515, (6, 10): 0.0151515151515, (8, 10): 0.0151515151515, (1, 5): 0.0151515151515, (9, 11): 0.0151515151515, (4, 11): 0.0151515151515, (3, 6): 0.0151515151515, (8, 6): 0.0151515151515, (3, 5): 0.0151515151515, (9, 7): 0.0151515151515, (4, 10): 0.0151515151515, (2, 6): 0.0151515151515, (6, 6): 0.0151515151515, (8, 2): 0.0151515151515, (5, 11): 0.0151515151515, (4, 5): 0.0151515151515, (8, 11): 0.0151515151515, (6, 11): 0.0151515151515, (2, 7): 0.0151515151515, (7, 7): 0.0151515151515, (7, 10): 0.0151515151515, (3, 9): 0.0151515151515, (1, 9): 0.0151515151515, (8, 7): 0.0151515151515, (6, 12): 0.0151515151515, (6, 4): 0.0151515151515, (2, 10): 0.0151515151515, (6, 5): 0.0151515151515, (7, 9): 0.0151515151515, (6, 7): 0.0151515151515, (6, 9): 0.0151515151515, (5, 10): 0.0151515151515, (6, 8): 0.0151515151515, (8, 12): 0.0151515151515, (5, 7): 0.0151515151515, (2, 11): 0.0151515151515, (9, 9): 0.0151515151515, (2, 4): 0.0151515151515, (3, 8): 0.0151515151515, (8, 8): 0.0151515151515, (1, 7): 0.0151515151515, (9, 5): 0.0151515151515, (7, 8): 0.0151515151515, (7, 6): 0.0151515151515, (8, 4): 0.0151515151515, }, ]
+2 Stop [{(5.0, 9.0): 0.0151515151515, (4.0, 7.0): 0.0151515151515, (6.0, 10.0): 0.0151515151515, (4.0, 8.0): 0.0151515151515, (5.0, 6.0): 0.0164141414141, (2.0, 8.0): 0.0131313131313, (3.0, 11.0): 0.0106060606061, (4.0, 6.0): 0.0151515151515, (8.0, 9.0): 0.0217171717172, (4.0, 12.0): 0.00757575757576, (2.0, 12.0): 0.00757575757576, (7.0, 11.0): 0.0106060606061, (3.0, 7.0): 0.0151515151515, (2.0, 5.0): 0.0275252525253, (1.0, 11.0): 0.010101010101, (8.0, 5.0): 0.0275252525253, (5.0, 8.0): 0.0151515151515, (7.0, 5.0): 0.0138888888889, (4.0, 9.0): 0.0151515151515, (5.0, 5.0): 0.0138888888889, (2.0, 9.0): 0.0217171717172, (3.0, 10.0): 0.0166666666667, (4.0, 4.0): 0.0126262626263, (8.0, 10.0): 0.0131313131313, (1.0, 5.0): 0.010101010101, (9.0, 11.0): 0.010101010101, (4.0, 11.0): 0.0212121212121, (3.0, 6.0): 0.0169191919192, (8.0, 6.0): 0.0131313131313, (3.0, 5.0): 0.0138888888889, (1, 1): 0.0151515151515, (9.0, 7.0): 0.010101010101, (4.0, 10.0): 0.0151515151515, (2.0, 6.0): 0.0131313131313, (6.0, 6.0): 0.0151515151515, (7.0, 10.0): 0.0166666666667, (5.0, 11.0): 0.0106060606061, (4.0, 5.0): 0.0227272727273, (8.0, 11.0): 0.0262626262626, (6.0, 11.0): 0.0212121212121, (2.0, 7.0): 0.0217171717172, (7.0, 7.0): 0.0151515151515, (3.0, 9.0): 0.0151515151515, (1.0, 9.0): 0.010101010101, (8.0, 7.0): 0.0217171717172, (6.0, 12.0): 0.00757575757576, (6.0, 4.0): 0.0126262626263, (2.0, 10.0): 0.0131313131313, (6.0, 5.0): 0.0227272727273, (7.0, 9.0): 0.0151515151515, (6.0, 7.0): 0.0151515151515, (6.0, 9.0): 0.0151515151515, (5.0, 10.0): 0.0161616161616, (6.0, 8.0): 0.0151515151515, (8.0, 12.0): 0.00757575757576, (5.0, 7.0): 0.0151515151515, (2.0, 11.0): 0.0262626262626, (9.0, 9.0): 0.010101010101, (2.0, 4.0): 0.0126262626263, (3.0, 8.0): 0.0156565656566, (8.0, 8.0): 0.0131313131313, (1.0, 7.0): 0.010101010101, (9.0, 5.0): 0.010101010101, (7.0, 8.0): 0.0156565656566, (7.0, 6.0): 0.0169191919192, (8.0, 4.0): 0.0126262626263, }, ]
+3 Stop [{(5.0, 9.0): 0.0154882154882, (4.0, 7.0): 0.0151515151515, (6.0, 10.0): 0.0175925925926, (4.0, 8.0): 0.0152356902357, (5.0, 6.0): 0.0163089225589, (2.0, 8.0): 0.0160942760943, (3.0, 11.0): 0.0128114478114, (4.0, 6.0): 0.0169191919192, (8.0, 9.0): 0.0190740740741, (4.0, 12.0): 0.00606060606061, (2.0, 12.0): 0.00690235690236, (7.0, 11.0): 0.0128114478114, (3.0, 7.0): 0.0167087542088, (2.0, 5.0): 0.0246759259259, (1.0, 11.0): 0.00942760942761, (8.0, 5.0): 0.0246759259259, (5.0, 8.0): 0.0151515151515, (7.0, 5.0): 0.0174873737374, (4.0, 9.0): 0.0151515151515, (5.0, 5.0): 0.0165193602694, (2.0, 9.0): 0.0190740740741, (3.0, 10.0): 0.014696969697, (4.0, 4.0): 0.0138888888889, (8.0, 10.0): 0.0177777777778, (1.0, 5.0): 0.00963804713805, (9.0, 11.0): 0.00942760942761, (4.0, 11.0): 0.0153535353535, (3.0, 6.0): 0.0164941077441, (8.0, 6.0): 0.0172727272727, (3.0, 5.0): 0.0174873737374, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00867003367003, (4.0, 10.0): 0.0175925925926, (2.0, 6.0): 0.0172727272727, (6.0, 6.0): 0.0169191919192, (7.0, 10.0): 0.014696969697, (5.0, 11.0): 0.0118855218855, (4.0, 5.0): 0.022095959596, (8.0, 11.0): 0.0192255892256, (6.0, 11.0): 0.0153535353535, (2.0, 7.0): 0.0190740740741, (7.0, 7.0): 0.0167087542088, (3.0, 9.0): 0.016835016835, (1.0, 9.0): 0.00867003367003, (8.0, 7.0): 0.0190740740741, (6.0, 12.0): 0.00606060606061, (6.0, 4.0): 0.0138888888889, (2.0, 10.0): 0.0177777777778, (6.0, 5.0): 0.022095959596, (7.0, 9.0): 0.016835016835, (6.0, 7.0): 0.0151515151515, (6.0, 9.0): 0.0151515151515, (5.0, 10.0): 0.0145117845118, (6.0, 8.0): 0.0152356902357, (8.0, 12.0): 0.00690235690236, (5.0, 7.0): 0.015361952862, (2.0, 11.0): 0.0192255892256, (9.0, 9.0): 0.00867003367003, (2.0, 4.0): 0.0154882154882, (3.0, 8.0): 0.0153367003367, (8.0, 8.0): 0.0160942760943, (1.0, 7.0): 0.00867003367003, (9.0, 5.0): 0.00963804713805, (7.0, 8.0): 0.0153367003367, (7.0, 6.0): 0.0164941077441, (8.0, 4.0): 0.0154882154882, }, ]
+4 Stop [{(5.0, 9.0): 0.0149943883277, (4.0, 7.0): 0.0157687991021, (6.0, 10.0): 0.01544332211, (4.0, 8.0): 0.0151964085297, (5.0, 6.0): 0.0176083754209, (2.0, 8.0): 0.0153120089787, (3.0, 11.0): 0.0107749719416, (4.0, 6.0): 0.0170202020202, (8.0, 9.0): 0.0206498316498, (4.0, 12.0): 0.00457912457912, (2.0, 12.0): 0.00550505050505, (7.0, 11.0): 0.0107749719416, (3.0, 7.0): 0.016350308642, (2.0, 5.0): 0.0279567199776, (1.0, 11.0): 0.00791806958474, (8.0, 5.0): 0.0279567199776, (5.0, 8.0): 0.0153268799102, (7.0, 5.0): 0.0176651936027, (4.0, 9.0): 0.0163159371493, (5.0, 5.0): 0.0169314674523, (2.0, 9.0): 0.0206498316498, (3.0, 10.0): 0.0168675645342, (4.0, 4.0): 0.0143097643098, (8.0, 10.0): 0.0155925925926, (1.0, 5.0): 0.00893167789001, (9.0, 11.0): 0.00791806958474, (4.0, 11.0): 0.0144708193042, (3.0, 6.0): 0.0189648569024, (8.0, 6.0): 0.0166742424242, (3.0, 5.0): 0.0176651936027, (1, 1): 0.0151515151515, (9.0, 7.0): 0.0075140291807, (4.0, 10.0): 0.01544332211, (2.0, 6.0): 0.0166742424242, (6.0, 6.0): 0.0170202020202, (7.0, 10.0): 0.0168675645342, (5.0, 11.0): 0.00991358024691, (4.0, 5.0): 0.0247685185185, (8.0, 11.0): 0.0186374859708, (6.0, 11.0): 0.0144708193042, (2.0, 7.0): 0.0201910774411, (7.0, 7.0): 0.016350308642, (3.0, 9.0): 0.0159652076319, (1.0, 9.0): 0.0075140291807, (8.0, 7.0): 0.0201910774411, (6.0, 12.0): 0.00457912457912, (6.0, 4.0): 0.0143097643098, (2.0, 10.0): 0.0155925925926, (6.0, 5.0): 0.0247685185185, (7.0, 9.0): 0.0159652076319, (6.0, 7.0): 0.0157687991021, (6.0, 9.0): 0.0163159371493, (5.0, 10.0): 0.0156184062851, (6.0, 8.0): 0.0151964085297, (8.0, 12.0): 0.00550505050505, (5.0, 7.0): 0.0153794893378, (2.0, 11.0): 0.0186374859708, (9.0, 9.0): 0.0075140291807, (2.0, 4.0): 0.0159694163861, (3.0, 8.0): 0.0167107182941, (8.0, 8.0): 0.0153120089787, (1.0, 7.0): 0.0075140291807, (9.0, 5.0): 0.00893167789001, (7.0, 8.0): 0.0167107182941, (7.0, 6.0): 0.0189648569024, (8.0, 4.0): 0.0159694163861, }, ]
+5 Stop [{(5.0, 9.0): 0.0156983258511, (4.0, 7.0): 0.0158186026936, (6.0, 10.0): 0.0155311447811, (4.0, 8.0): 0.0159391133558, (5.0, 6.0): 0.0179674932192, (2.0, 8.0): 0.0160959783015, (3.0, 11.0): 0.0104843060232, (4.0, 6.0): 0.0183165918444, (8.0, 9.0): 0.0191589599701, (4.0, 12.0): 0.00393817807707, (2.0, 12.0): 0.00494126449682, (7.0, 11.0): 0.0104843060232, (3.0, 7.0): 0.0174494131126, (2.0, 5.0): 0.028195995838, (1.0, 11.0): 0.00706528245417, (8.0, 5.0): 0.028195995838, (5.0, 8.0): 0.0151813271605, (7.0, 5.0): 0.0195254571175, (4.0, 9.0): 0.0155597643098, (5.0, 5.0): 0.0183584981762, (2.0, 9.0): 0.0191589599701, (3.0, 10.0): 0.0154745230079, (4.0, 4.0): 0.0154110549944, (8.0, 10.0): 0.0155839132061, (1.0, 5.0): 0.0091252922746, (9.0, 11.0): 0.00706528245417, (4.0, 11.0): 0.0121761503928, (3.0, 6.0): 0.0191987595866, (8.0, 6.0): 0.0178854704452, (3.0, 5.0): 0.0195254571175, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00712219416386, (4.0, 10.0): 0.0155311447811, (2.0, 6.0): 0.0178854704452, (6.0, 6.0): 0.0183165918444, (7.0, 10.0): 0.0154745230079, (5.0, 11.0): 0.00940939019828, (4.0, 5.0): 0.0256055345118, (8.0, 11.0): 0.0160088290311, (6.0, 11.0): 0.0121761503928, (2.0, 7.0): 0.0193068976805, (7.0, 7.0): 0.0174494131126, (3.0, 9.0): 0.0172294706322, (1.0, 9.0): 0.00719865319865, (8.0, 7.0): 0.0193068976805, (6.0, 12.0): 0.00393817807707, (6.0, 4.0): 0.0154110549944, (2.0, 10.0): 0.0155839132061, (6.0, 5.0): 0.0256055345118, (7.0, 9.0): 0.0172294706322, (6.0, 7.0): 0.0158186026936, (6.0, 9.0): 0.0155597643098, (5.0, 10.0): 0.0142153385709, (6.0, 8.0): 0.0159391133558, (8.0, 12.0): 0.00494126449682, (5.0, 7.0): 0.0158632037972, (2.0, 11.0): 0.0160088290311, (9.0, 9.0): 0.00719865319865, (2.0, 4.0): 0.0173036148522, (3.0, 8.0): 0.016427043584, (8.0, 8.0): 0.0160959783015, (1.0, 7.0): 0.00712219416386, (9.0, 5.0): 0.0091252922746, (7.0, 8.0): 0.016427043584, (7.0, 6.0): 0.0191987595866, (8.0, 4.0): 0.0173036148522, }, ]
+6 Stop [{(5.0, 9.0): 0.0150716431288, (4.0, 7.0): 0.0165543396932, (6.0, 10.0): 0.0141888452425, (4.0, 8.0): 0.0157476025689, (5.0, 6.0): 0.0189774719611, (2.0, 8.0): 0.0155611725277, (3.0, 11.0): 0.00937344494326, (4.0, 6.0): 0.0187875974249, (8.0, 9.0): 0.0191168259758, (4.0, 12.0): 0.00334208442449, (2.0, 12.0): 0.00431522633745, (7.0, 11.0): 0.00937344494326, (3.0, 7.0): 0.0174379600402, (2.0, 5.0): 0.0299493386605, (1.0, 11.0): 0.00620077939893, (8.0, 5.0): 0.0299493386605, (5.0, 8.0): 0.0157199015619, (7.0, 5.0): 0.0202478725332, (4.0, 9.0): 0.0159148272852, (5.0, 5.0): 0.0191139671211, (2.0, 9.0): 0.0191168259758, (3.0, 10.0): 0.0153496947874, (4.0, 4.0): 0.0162407056678, (8.0, 10.0): 0.0142253061479, (1.0, 5.0): 0.00926197877697, (9.0, 11.0): 0.00620077939893, (4.0, 11.0): 0.0112220738247, (3.0, 6.0): 0.0205274879778, (8.0, 6.0): 0.0179118525533, (3.0, 5.0): 0.0202478725332, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00677891336202, (4.0, 10.0): 0.0141888452425, (2.0, 6.0): 0.0179118525533, (6.0, 6.0): 0.0187875974249, (7.0, 10.0): 0.0153496947874, (5.0, 11.0): 0.00830981793241, (4.0, 5.0): 0.0275496360207, (8.0, 11.0): 0.014708599576, (6.0, 11.0): 0.0112220738247, (2.0, 7.0): 0.0197026342904, (7.0, 7.0): 0.0174379600402, (3.0, 9.0): 0.0165540474186, (1.0, 9.0): 0.00679248659434, (8.0, 7.0): 0.0197026342904, (6.0, 12.0): 0.00334208442449, (6.0, 4.0): 0.0162407056678, (2.0, 10.0): 0.0142253061479, (6.0, 5.0): 0.0275496360207, (7.0, 9.0): 0.0165540474186, (6.0, 7.0): 0.0165543396932, (6.0, 9.0): 0.0159148272852, (5.0, 10.0): 0.0139264150767, (6.0, 8.0): 0.0157476025689, (8.0, 12.0): 0.00431522633745, (5.0, 7.0): 0.0159717594541, (2.0, 11.0): 0.014708599576, (9.0, 9.0): 0.00679248659434, (2.0, 4.0): 0.0180504727054, (3.0, 8.0): 0.0172649475465, (8.0, 8.0): 0.0155611725277, (1.0, 7.0): 0.00677891336202, (9.0, 5.0): 0.00926197877697, (7.0, 8.0): 0.0172649475465, (7.0, 6.0): 0.0205274879778, (8.0, 4.0): 0.0180504727054, }, ]
+7 Stop [{(5.0, 9.0): 0.0150790049024, (4.0, 7.0): 0.0167078102917, (6.0, 10.0): 0.0136373216735, (4.0, 8.0): 0.0161860743235, (5.0, 6.0): 0.0195278560668, (2.0, 8.0): 0.0156457734703, (3.0, 11.0): 0.00875475035333, (4.0, 6.0): 0.0198251454618, (8.0, 9.0): 0.0181437458276, (4.0, 12.0): 0.00298437377894, (2.0, 12.0): 0.00388984204182, (7.0, 11.0): 0.00875475035333, (3.0, 7.0): 0.0181253861824, (2.0, 5.0): 0.0308744913393, (1.0, 11.0): 0.00555182296213, (8.0, 5.0): 0.0308744913393, (5.0, 8.0): 0.0155550254019, (7.0, 5.0): 0.0214876265728, (4.0, 9.0): 0.0152776351478, (5.0, 5.0): 0.0202875277742, (2.0, 9.0): 0.0181437458276, (3.0, 10.0): 0.014276537115, (4.0, 4.0): 0.0173035648408, (8.0, 10.0): 0.0134923478821, (1.0, 5.0): 0.0096225458319, (9.0, 11.0): 0.00555182296213, (4.0, 11.0): 0.009999862036, (3.0, 6.0): 0.0210095062245, (8.0, 6.0): 0.0185627197139, (3.0, 5.0): 0.0214876265728, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00667322906275, (4.0, 10.0): 0.0136373216735, (2.0, 6.0): 0.0185627197139, (6.0, 6.0): 0.0198251454618, (7.0, 10.0): 0.014276537115, (5.0, 11.0): 0.00772372404082, (4.0, 5.0): 0.0288149512259, (8.0, 11.0): 0.0131483907387, (6.0, 11.0): 0.009999862036, (2.0, 7.0): 0.0193863952579, (7.0, 7.0): 0.0181253861824, (3.0, 9.0): 0.0165916729668, (1.0, 9.0): 0.0065823809598, (8.0, 7.0): 0.0193863952579, (6.0, 12.0): 0.00298437377894, (6.0, 4.0): 0.0173035648408, (2.0, 10.0): 0.0134923478821, (6.0, 5.0): 0.0288149512259, (7.0, 9.0): 0.0165916729668, (6.0, 7.0): 0.0167078102917, (6.0, 9.0): 0.0152776351478, (5.0, 10.0): 0.0128865519547, (6.0, 8.0): 0.0161860743235, (8.0, 12.0): 0.00388984204182, (5.0, 7.0): 0.0165829523209, (2.0, 11.0): 0.0131483907387, (9.0, 9.0): 0.0065823809598, (2.0, 4.0): 0.0190083492396, (3.0, 8.0): 0.017038668671, (8.0, 8.0): 0.0156457734703, (1.0, 7.0): 0.00667322906275, (9.0, 5.0): 0.0096225458319, (7.0, 8.0): 0.017038668671, (7.0, 6.0): 0.0210095062245, (8.0, 4.0): 0.0190083492396, }, ]
+8 Stop [{(5.0, 9.0): 0.0144937340849, (4.0, 7.0): 0.0172689071506, (6.0, 10.0): 0.0126796283272, (4.0, 8.0): 0.0160071414973, (5.0, 6.0): 0.0204625572156, (2.0, 8.0): 0.0152479139581, (3.0, 11.0): 0.00798841505227, (4.0, 6.0): 0.0204321799271, (8.0, 9.0): 0.0176065207925, (4.0, 12.0): 0.00266143493231, (2.0, 12.0): 0.00348801247038, (7.0, 11.0): 0.00798841505227, (3.0, 7.0): 0.0182177392164, (2.0, 5.0): 0.032258190621, (1.0, 11.0): 0.00496730993751, (8.0, 5.0): 0.032258190621, (5.0, 8.0): 0.0157780226958, (7.0, 5.0): 0.0223233158122, (4.0, 9.0): 0.0150681717813, (5.0, 5.0): 0.0211861510411, (2.0, 9.0): 0.0176065207925, (3.0, 10.0): 0.0136179583436, (4.0, 4.0): 0.0182567661624, (8.0, 10.0): 0.0124846469797, (1.0, 5.0): 0.00995702147249, (9.0, 11.0): 0.00496730993751, (4.0, 11.0): 0.00922480801638, (3.0, 6.0): 0.0219320212612, (8.0, 6.0): 0.0188220086227, (3.0, 5.0): 0.0223233158122, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00656768040769, (4.0, 10.0): 0.0126796283272, (2.0, 6.0): 0.0188220086227, (6.0, 6.0): 0.0204321799271, (7.0, 10.0): 0.0136179583436, (5.0, 11.0): 0.00702579081262, (4.0, 5.0): 0.0305064446987, (8.0, 11.0): 0.0120099576125, (6.0, 11.0): 0.00922480801638, (2.0, 7.0): 0.0195594314356, (7.0, 7.0): 0.0182177392164, (3.0, 9.0): 0.0159341328072, (1.0, 9.0): 0.00631514811784, (8.0, 7.0): 0.0195594314356, (6.0, 12.0): 0.00266143493231, (6.0, 4.0): 0.0182567661624, (2.0, 10.0): 0.0124846469797, (6.0, 5.0): 0.0305064446987, (7.0, 9.0): 0.0159341328072, (6.0, 7.0): 0.0172689071506, (6.0, 9.0): 0.0150681717813, (5.0, 10.0): 0.0122961896504, (6.0, 8.0): 0.0160071414973, (8.0, 12.0): 0.00348801247038, (5.0, 7.0): 0.0167727466292, (2.0, 11.0): 0.0120099576125, (9.0, 9.0): 0.00631514811784, (2.0, 4.0): 0.0197956717329, (3.0, 8.0): 0.0172180672125, (8.0, 8.0): 0.0152479139581, (1.0, 7.0): 0.00656768040769, (9.0, 5.0): 0.00995702147249, (7.0, 8.0): 0.0172180672125, (7.0, 6.0): 0.0219320212612, (8.0, 4.0): 0.0197956717329, }, ]
+9 Stop [{(5.0, 9.0): 0.0141667466073, (4.0, 7.0): 0.0174509759863, (6.0, 10.0): 0.0120185940225, (4.0, 8.0): 0.0160680803531, (5.0, 6.0): 0.0211086061483, (2.0, 8.0): 0.0150480061638, (3.0, 11.0): 0.0074064703392, (4.0, 6.0): 0.021311836234, (8.0, 9.0): 0.0167911245757, (4.0, 12.0): 0.00242461298017, (2.0, 12.0): 0.00316433042554, (7.0, 11.0): 0.0074064703392, (3.0, 7.0): 0.0185690389148, (2.0, 5.0): 0.0333623441083, (1.0, 11.0): 0.00448531457083, (8.0, 5.0): 0.0333623441083, (5.0, 8.0): 0.0155920867482, (7.0, 5.0): 0.0233522752601, (4.0, 9.0): 0.0144770728042, (5.0, 5.0): 0.022286205065, (2.0, 9.0): 0.0167911245757, (3.0, 10.0): 0.0127309153299, (4.0, 4.0): 0.0192971979808, (8.0, 10.0): 0.0117043284561, (1.0, 5.0): 0.0103548758397, (9.0, 11.0): 0.00448531457083, (4.0, 11.0): 0.00842787051844, (3.0, 6.0): 0.0224785106144, (8.0, 6.0): 0.0193159141834, (3.0, 5.0): 0.0233522752601, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00654374544312, (4.0, 10.0): 0.0120185940225, (2.0, 6.0): 0.0193159141834, (6.0, 6.0): 0.021311836234, (7.0, 10.0): 0.0127309153299, (5.0, 11.0): 0.00652945910971, (4.0, 5.0): 0.0319008838866, (8.0, 11.0): 0.0109052686242, (6.0, 11.0): 0.00842787051844, (2.0, 7.0): 0.0194436026203, (7.0, 7.0): 0.0185690389148, (3.0, 9.0): 0.0155104682135, (1.0, 9.0): 0.00609199419101, (8.0, 7.0): 0.0194436026203, (6.0, 12.0): 0.00242461298017, (6.0, 4.0): 0.0192971979808, (2.0, 10.0): 0.0117043284561, (6.0, 5.0): 0.0319008838866, (7.0, 9.0): 0.0155104682135, (6.0, 7.0): 0.0174509759863, (6.0, 9.0): 0.0144770728042, (5.0, 10.0): 0.01150184639, (6.0, 8.0): 0.0160680803531, (8.0, 12.0): 0.00316433042554, (5.0, 7.0): 0.0172215272563, (2.0, 11.0): 0.0109052686242, (9.0, 9.0): 0.00609199419101, (2.0, 4.0): 0.0206505660734, (3.0, 8.0): 0.0169347850484, (8.0, 8.0): 0.0150480061638, (1.0, 7.0): 0.00654374544312, (9.0, 5.0): 0.0103548758397, (7.0, 8.0): 0.0169347850484, (7.0, 6.0): 0.0224785106144, (8.0, 4.0): 0.0206505660734, }, ]
+10 Stop [{(5.0, 9.0): 0.0136194452906, (4.0, 7.0): 0.0177815898496, (6.0, 10.0): 0.0112640282639, (4.0, 8.0): 0.0158333456241, (5.0, 6.0): 0.0219341067877, (2.0, 8.0): 0.0146697073694, (3.0, 11.0): 0.00682530314658, (4.0, 6.0): 0.0219502981427, (8.0, 9.0): 0.0161209285089, (4.0, 12.0): 0.00221284941313, (2.0, 12.0): 0.00287232157921, (7.0, 11.0): 0.00682530314658, (3.0, 7.0): 0.0186352830388, (2.0, 5.0): 0.0346275461297, (1.0, 11.0): 0.00406020205611, (8.0, 5.0): 0.0346275461297, (5.0, 8.0): 0.0155472113209, (7.0, 5.0): 0.0242081103523, (4.0, 9.0): 0.0140432593372, (5.0, 5.0): 0.0232413812779, (2.0, 9.0): 0.0161209285089, (3.0, 10.0): 0.0120134500879, (4.0, 4.0): 0.0202822269526, (8.0, 10.0): 0.0108962952169, (1.0, 5.0): 0.0107378286046, (9.0, 11.0): 0.00406020205611, (4.0, 11.0): 0.00781133863339, (3.0, 6.0): 0.0231893224314, (8.0, 6.0): 0.0196511928306, (3.0, 5.0): 0.0242081103523, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00651247315827, (4.0, 10.0): 0.0112640282639, (2.0, 6.0): 0.0196511928306, (6.0, 6.0): 0.0219502981427, (7.0, 10.0): 0.0120134500879, (5.0, 11.0): 0.00603215639309, (4.0, 5.0): 0.0334789784641, (8.0, 11.0): 0.00999191543221, (6.0, 11.0): 0.00781133863339, (2.0, 7.0): 0.0194896982796, (7.0, 7.0): 0.0186352830388, (3.0, 9.0): 0.0148625468836, (1.0, 9.0): 0.00584451785813, (8.0, 7.0): 0.0194896982796, (6.0, 12.0): 0.00221284941313, (6.0, 4.0): 0.0202822269526, (2.0, 10.0): 0.0108962952169, (6.0, 5.0): 0.0334789784641, (7.0, 9.0): 0.0148625468836, (6.0, 7.0): 0.0177815898496, (6.0, 9.0): 0.0140432593372, (5.0, 10.0): 0.0108960804843, (6.0, 8.0): 0.0158333456241, (8.0, 12.0): 0.00287232157921, (5.0, 7.0): 0.0174027098123, (2.0, 11.0): 0.00999191543221, (9.0, 9.0): 0.00584451785813, (2.0, 4.0): 0.0214460644062, (3.0, 8.0): 0.01677507469, (8.0, 8.0): 0.0146697073694, (1.0, 7.0): 0.00651247315827, (9.0, 5.0): 0.0107378286046, (7.0, 8.0): 0.01677507469, (7.0, 6.0): 0.0231893224314, (8.0, 4.0): 0.0214460644062, }, ]
+11 Stop [{(5.0, 9.0): 0.0131742227091, (4.0, 7.0): 0.0179060953486, (6.0, 10.0): 0.0106399159067, (4.0, 8.0): 0.0156706233598, (5.0, 6.0): 0.0225836991024, (2.0, 8.0): 0.0143517131385, (3.0, 11.0): 0.00633451132156, (4.0, 6.0): 0.0226859809208, (8.0, 9.0): 0.0153786310551, (4.0, 12.0): 0.00203950624327, (2.0, 12.0): 0.0026227597651, (7.0, 11.0): 0.00633451132156, (3.0, 7.0): 0.0187743404965, (2.0, 5.0): 0.035775708914, (1.0, 11.0): 0.00369542026676, (8.0, 5.0): 0.035775708914, (5.0, 8.0): 0.0153092504938, (7.0, 5.0): 0.0251328891642, (4.0, 9.0): 0.0134811089439, (5.0, 5.0): 0.0242813737367, (2.0, 9.0): 0.0153786310551, (3.0, 10.0): 0.0112660511746, (4.0, 4.0): 0.0213007729643, (8.0, 10.0): 0.0101989606202, (1.0, 5.0): 0.0111401719906, (9.0, 11.0): 0.00369542026676, (4.0, 11.0): 0.00722595266624, (3.0, 6.0): 0.0237172972628, (8.0, 6.0): 0.0200629494195, (3.0, 5.0): 0.0251328891642, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00650451962574, (4.0, 10.0): 0.0106399159067, (2.0, 6.0): 0.0200629494195, (6.0, 6.0): 0.0226859809208, (7.0, 10.0): 0.0112660511746, (5.0, 11.0): 0.00562622423713, (4.0, 5.0): 0.0349000821754, (8.0, 11.0): 0.00915462099225, (6.0, 11.0): 0.00722595266624, (2.0, 7.0): 0.0194085216461, (7.0, 7.0): 0.0187743404965, (3.0, 9.0): 0.0143047849326, (1.0, 9.0): 0.00560908034722, (8.0, 7.0): 0.0194085216461, (6.0, 12.0): 0.00203950624327, (6.0, 4.0): 0.0213007729643, (2.0, 10.0): 0.0101989606202, (6.0, 5.0): 0.0349000821754, (7.0, 9.0): 0.0143047849326, (6.0, 7.0): 0.0179060953486, (6.0, 9.0): 0.0134811089439, (5.0, 10.0): 0.0102534596077, (6.0, 8.0): 0.0156706233598, (8.0, 12.0): 0.0026227597651, (5.0, 7.0): 0.0176657364902, (2.0, 11.0): 0.00915462099225, (9.0, 9.0): 0.00560908034722, (2.0, 4.0): 0.0222655475796, (3.0, 8.0): 0.0164287409939, (8.0, 8.0): 0.0143517131385, (1.0, 7.0): 0.00650451962574, (9.0, 5.0): 0.0111401719906, (7.0, 8.0): 0.0164287409939, (7.0, 6.0): 0.0237172972628, (8.0, 4.0): 0.0222655475796, }, ]
+12 Stop [{(5.0, 9.0): 0.0126587683843, (4.0, 7.0): 0.0180622333293, (6.0, 10.0): 0.0100154068275, (4.0, 8.0): 0.015379488014, (5.0, 6.0): 0.0232848657549, (2.0, 8.0): 0.0139694300861, (3.0, 11.0): 0.00587467306982, (4.0, 6.0): 0.0232832083598, (8.0, 9.0): 0.0147017030473, (4.0, 12.0): 0.0018841608588, (2.0, 12.0): 0.00240002342041, (7.0, 11.0): 0.00587467306982, (3.0, 7.0): 0.018777289457, (2.0, 5.0): 0.0369738799963, (1.0, 11.0): 0.00337348029875, (8.0, 5.0): 0.0369738799963, (5.0, 8.0): 0.0151107798536, (7.0, 5.0): 0.0259682865602, (4.0, 9.0): 0.0129850952931, (5.0, 5.0): 0.0252316038601, (2.0, 9.0): 0.0147017030473, (3.0, 10.0): 0.0106087219883, (4.0, 4.0): 0.0222837472073, (8.0, 10.0): 0.00953211282641, (1.0, 5.0): 0.0115327041476, (9.0, 11.0): 0.00337348029875, (4.0, 11.0): 0.00672946270274, (3.0, 6.0): 0.0242878053711, (8.0, 6.0): 0.0203975981287, (3.0, 5.0): 0.0259682865602, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00648701342055, (4.0, 10.0): 0.0100154068275, (2.0, 6.0): 0.0203975981287, (6.0, 6.0): 0.0232832083598, (7.0, 10.0): 0.0106087219883, (5.0, 11.0): 0.00524280567079, (4.0, 5.0): 0.0363826262102, (8.0, 11.0): 0.00842868119718, (6.0, 11.0): 0.00672946270274, (2.0, 7.0): 0.0193693453093, (7.0, 7.0): 0.018777289457, (3.0, 9.0): 0.0136875613791, (1.0, 9.0): 0.00536764534946, (8.0, 7.0): 0.0193693453093, (6.0, 12.0): 0.0018841608588, (6.0, 4.0): 0.0222837472073, (2.0, 10.0): 0.00953211282641, (6.0, 5.0): 0.0363826262102, (7.0, 9.0): 0.0136875613791, (6.0, 7.0): 0.0180622333293, (6.0, 9.0): 0.0129850952931, (5.0, 10.0): 0.00970174204987, (6.0, 8.0): 0.015379488014, (8.0, 12.0): 0.00240002342041, (5.0, 7.0): 0.0177800212129, (2.0, 11.0): 0.00842868119718, (9.0, 9.0): 0.00536764534946, (2.0, 4.0): 0.0230580100945, (3.0, 8.0): 0.0161175550803, (8.0, 8.0): 0.0139694300861, (1.0, 7.0): 0.00648701342055, (9.0, 5.0): 0.0115327041476, (7.0, 8.0): 0.0161175550803, (7.0, 6.0): 0.0242878053711, (8.0, 4.0): 0.0230580100945, }, ]
+13 Stop [{(5.0, 9.0): 0.012190537154, (4.0, 7.0): 0.0181102880645, (6.0, 10.0): 0.00946164859405, (4.0, 8.0): 0.0151067078106, (5.0, 6.0): 0.0238764551151, (2.0, 8.0): 0.0136089370979, (3.0, 11.0): 0.005469412262, (4.0, 6.0): 0.0238938287258, (8.0, 9.0): 0.0140220978936, (4.0, 12.0): 0.00174963073672, (2.0, 12.0): 0.00220478800633, (7.0, 11.0): 0.005469412262, (3.0, 7.0): 0.0187886306045, (2.0, 5.0): 0.0381087813453, (1.0, 11.0): 0.00309152034891, (8.0, 5.0): 0.0381087813453, (5.0, 8.0): 0.0148278856438, (7.0, 5.0): 0.0268140911315, (4.0, 9.0): 0.0124569544543, (5.0, 5.0): 0.0261970649534, (2.0, 9.0): 0.0140220978936, (3.0, 10.0): 0.0099749068257, (4.0, 4.0): 0.0232694156737, (8.0, 10.0): 0.00893438713695, (1.0, 5.0): 0.0119286654065, (9.0, 11.0): 0.00309152034891, (4.0, 11.0): 0.0062704145757, (3.0, 6.0): 0.0247591900399, (8.0, 6.0): 0.0207462489567, (3.0, 5.0): 0.0268140911315, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00647173092849, (4.0, 10.0): 0.00946164859405, (2.0, 6.0): 0.0207462489567, (6.0, 6.0): 0.0238938287258, (7.0, 10.0): 0.0099749068257, (5.0, 11.0): 0.00490867237671, (4.0, 5.0): 0.037766686697, (8.0, 11.0): 0.00777289314176, (6.0, 11.0): 0.0062704145757, (2.0, 7.0): 0.0192685708315, (7.0, 7.0): 0.0187886306045, (3.0, 9.0): 0.0131182264627, (1.0, 9.0): 0.00513410651596, (8.0, 7.0): 0.0192685708315, (6.0, 12.0): 0.00174963073672, (6.0, 4.0): 0.0232694156737, (2.0, 10.0): 0.00893438713695, (6.0, 5.0): 0.037766686697, (7.0, 9.0): 0.0131182264627, (6.0, 7.0): 0.0181102880645, (6.0, 9.0): 0.0124569544543, (5.0, 10.0): 0.00916234294986, (6.0, 8.0): 0.0151067078106, (8.0, 12.0): 0.00220478800633, (5.0, 7.0): 0.0179018188889, (2.0, 11.0): 0.00777289314176, (9.0, 9.0): 0.00513410651596, (2.0, 4.0): 0.0238536317127, (3.0, 8.0): 0.0157354619021, (8.0, 8.0): 0.0136089370979, (1.0, 7.0): 0.00647173092849, (9.0, 5.0): 0.0119286654065, (7.0, 8.0): 0.0157354619021, (7.0, 6.0): 0.0247591900399, (8.0, 4.0): 0.0238536317127, }, ]
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+15 Stop [{(5.0, 9.0): 0.0112579622278, (4.0, 7.0): 0.0181351513343, (6.0, 10.0): 0.00845057242452, (4.0, 8.0): 0.0144643292388, (5.0, 6.0): 0.0249716357114, (2.0, 8.0): 0.0128642738475, (3.0, 11.0): 0.00476210833779, (4.0, 6.0): 0.0249256191391, (8.0, 9.0): 0.0127711161457, (4.0, 12.0): 0.00152010110504, (2.0, 12.0): 0.00187544732782, (7.0, 11.0): 0.00476210833779, (3.0, 7.0): 0.0186688277276, (2.0, 5.0): 0.0403342071838, (1.0, 11.0): 0.00261926466828, (8.0, 5.0): 0.0403342071838, (5.0, 8.0): 0.0142467043265, (7.0, 5.0): 0.0283739844517, (4.0, 9.0): 0.0114784142033, (5.0, 5.0): 0.0279766157701, (2.0, 9.0): 0.0127711161457, (3.0, 10.0): 0.00886095447538, (4.0, 4.0): 0.0251606531067, (8.0, 10.0): 0.00787049253033, (1.0, 5.0): 0.0126986705442, (9.0, 11.0): 0.00261926466828, (4.0, 11.0): 0.00549082721411, (3.0, 6.0): 0.0256289463945, (8.0, 6.0): 0.0213453927911, (3.0, 5.0): 0.0283739844517, (1, 1): 0.0151515151515, (9.0, 7.0): 0.0064189064682, (4.0, 10.0): 0.00845057242452, (2.0, 6.0): 0.0213453927911, (6.0, 6.0): 0.0249256191391, (7.0, 10.0): 0.00886095447538, (5.0, 11.0): 0.00432049614184, (4.0, 5.0): 0.0404509155213, (8.0, 11.0): 0.00666772451293, (6.0, 11.0): 0.00549082721411, (2.0, 7.0): 0.0190430127124, (7.0, 7.0): 0.0186688277276, (3.0, 9.0): 0.0120110395693, (1.0, 9.0): 0.00468303194096, (8.0, 7.0): 0.0190430127124, (6.0, 12.0): 0.00152010110504, (6.0, 4.0): 0.0251606531067, (2.0, 10.0): 0.00787049253033, (6.0, 5.0): 0.0404509155213, (7.0, 9.0): 0.0120110395693, (6.0, 7.0): 0.0181351513343, (6.0, 9.0): 0.0114784142033, (5.0, 10.0): 0.00821477672335, (6.0, 8.0): 0.0144643292388, (8.0, 12.0): 0.00187544732782, (5.0, 7.0): 0.0179689533869, (2.0, 11.0): 0.00666772451293, (9.0, 9.0): 0.00468303194096, (2.0, 4.0): 0.0253964163133, (3.0, 8.0): 0.0149752690502, (8.0, 8.0): 0.0128642738475, (1.0, 7.0): 0.0064189064682, (9.0, 5.0): 0.0126986705442, (7.0, 8.0): 0.0149752690502, (7.0, 6.0): 0.0256289463945, (8.0, 4.0): 0.0253964163133, }, ]
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+17 Stop [{(5.0, 9.0): 0.0103962005087, (4.0, 7.0): 0.0180433880806, (6.0, 10.0): 0.00758001147968, (4.0, 8.0): 0.0138016429727, (5.0, 6.0): 0.0258845606475, (2.0, 8.0): 0.0121482560517, (3.0, 11.0): 0.00417734497974, (4.0, 6.0): 0.0257945896237, (8.0, 9.0): 0.0116433939694, (4.0, 12.0): 0.00133286078563, (2.0, 12.0): 0.00161176853355, (7.0, 11.0): 0.00417734497974, (3.0, 7.0): 0.0184642753145, (2.0, 5.0): 0.0424269939613, (1.0, 11.0): 0.002243416234, (8.0, 5.0): 0.0424269939613, (5.0, 8.0): 0.0136306445165, (7.0, 5.0): 0.0297989090798, (4.0, 9.0): 0.0105753531467, (5.0, 5.0): 0.0295912909701, (2.0, 9.0): 0.0116433939694, (3.0, 10.0): 0.00790545992803, (4.0, 4.0): 0.0269380943887, (8.0, 10.0): 0.00697281028627, (1.0, 5.0): 0.0134361123217, (9.0, 11.0): 0.002243416234, (4.0, 11.0): 0.00484359707393, (3.0, 6.0): 0.0263519558242, (8.0, 6.0): 0.0218607781508, (3.0, 5.0): 0.0297989090798, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00634323568831, (4.0, 10.0): 0.00758001147968, (2.0, 6.0): 0.0218607781508, (6.0, 6.0): 0.0257945896237, (7.0, 10.0): 0.00790545992803, (5.0, 11.0): 0.00382894903432, (4.0, 5.0): 0.0429188125236, (8.0, 11.0): 0.00577257881577, (6.0, 11.0): 0.00484359707393, (2.0, 7.0): 0.0187603801078, (7.0, 7.0): 0.0184642753145, (3.0, 9.0): 0.0110052296956, (1.0, 9.0): 0.00426717217038, (8.0, 7.0): 0.0187603801078, (6.0, 12.0): 0.00133286078563, (6.0, 4.0): 0.0269380943887, (2.0, 10.0): 0.00697281028627, (6.0, 5.0): 0.0429188125236, (7.0, 9.0): 0.0110052296956, (6.0, 7.0): 0.0180433880806, (6.0, 9.0): 0.0105753531467, (5.0, 10.0): 0.0073922591975, (6.0, 8.0): 0.0138016429727, (8.0, 12.0): 0.00161176853355, (5.0, 7.0): 0.0179168029517, (2.0, 11.0): 0.00577257881577, (9.0, 9.0): 0.00426717217038, (2.0, 4.0): 0.0268719934497, (3.0, 8.0): 0.0142134738734, (8.0, 8.0): 0.0121482560517, (1.0, 7.0): 0.00634323568831, (9.0, 5.0): 0.0134361123217, (7.0, 8.0): 0.0142134738734, (7.0, 6.0): 0.0263519558242, (8.0, 4.0): 0.0268719934497, }, ]
+18 Stop [{(5.0, 9.0): 0.0099936782856, (4.0, 7.0): 0.0179703903193, (6.0, 10.0): 0.00719004631663, (4.0, 8.0): 0.0134733092894, (5.0, 6.0): 0.0262823803756, (2.0, 8.0): 0.0118064248637, (3.0, 11.0): 0.0039224082989, (4.0, 6.0): 0.0261727824634, (8.0, 9.0): 0.0111271320209, (4.0, 12.0): 0.00125155310753, (2.0, 12.0): 0.00149935264715, (7.0, 11.0): 0.0039224082989, (3.0, 7.0): 0.0183411578457, (2.0, 5.0): 0.0434192570762, (1.0, 11.0): 0.0020838045863, (8.0, 5.0): 0.0434192570762, (5.0, 8.0): 0.0133238557385, (7.0, 5.0): 0.0304580136255, (4.0, 9.0): 0.0101564082138, (5.0, 5.0): 0.0303322804662, (2.0, 9.0): 0.0111271320209, (3.0, 10.0): 0.0074806168997, (4.0, 4.0): 0.0277753180355, (8.0, 10.0): 0.00657689731208, (1.0, 5.0): 0.0137892218211, (9.0, 11.0): 0.0020838045863, (4.0, 11.0): 0.0045604340855, (3.0, 6.0): 0.0266677322463, (8.0, 6.0): 0.0220887739637, (3.0, 5.0): 0.0304580136255, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00629834786213, (4.0, 10.0): 0.00719004631663, (2.0, 6.0): 0.0220887739637, (6.0, 6.0): 0.0261727824634, (7.0, 10.0): 0.0074806168997, (5.0, 11.0): 0.00361236536442, (4.0, 5.0): 0.0440679291686, (8.0, 11.0): 0.0053883479952, (6.0, 11.0): 0.0045604340855, (2.0, 7.0): 0.0186071851321, (7.0, 7.0): 0.0183411578457, (3.0, 9.0): 0.0105413950902, (1.0, 9.0): 0.00407415174676, (8.0, 7.0): 0.0186071851321, (6.0, 12.0): 0.00125155310753, (6.0, 4.0): 0.0277753180355, (2.0, 10.0): 0.00657689731208, (6.0, 5.0): 0.0440679291686, (7.0, 9.0): 0.0105413950902, (6.0, 7.0): 0.0179703903193, (6.0, 9.0): 0.0101564082138, (5.0, 10.0): 0.00702299339131, (6.0, 8.0): 0.0134733092894, (8.0, 12.0): 0.00149935264715, (5.0, 7.0): 0.0178582381322, (2.0, 11.0): 0.0053883479952, (9.0, 9.0): 0.00407415174676, (2.0, 4.0): 0.0275783280453, (3.0, 8.0): 0.013844626469, (8.0, 8.0): 0.0118064248637, (1.0, 7.0): 0.00629834786213, (9.0, 5.0): 0.0137892218211, (7.0, 8.0): 0.013844626469, (7.0, 6.0): 0.0266677322463, (8.0, 4.0): 0.0275783280453, }, ]
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+86 Stop [{(5.0, 9.0): 0.00384949188065, (4.0, 7.0): 0.015206383082, (6.0, 10.0): 0.00194116932354, (4.0, 8.0): 0.00764324195007, (5.0, 6.0): 0.0303257517814, (2.0, 8.0): 0.00636864740927, (3.0, 11.0): 0.000814758260666, (4.0, 6.0): 0.0303191807598, (8.0, 9.0): 0.00385375307288, (4.0, 12.0): 0.000245246525103, (2.0, 12.0): 0.000246249245759, (7.0, 11.0): 0.000814758260666, (3.0, 7.0): 0.0152028483217, (2.0, 5.0): 0.0604774898462, (1.0, 11.0): 0.000328815135561, (8.0, 5.0): 0.0604774898462, (5.0, 8.0): 0.00764352985224, (7.0, 5.0): 0.0403588579633, (4.0, 9.0): 0.00384985153814, (5.0, 5.0): 0.0403860881475, (2.0, 9.0): 0.00385375307288, (3.0, 10.0): 0.00194191254461, (4.0, 4.0): 0.0403581869931, (8.0, 10.0): 0.00161963159871, (1.0, 5.0): 0.020149127407, (9.0, 11.0): 0.000328815135561, (4.0, 11.0): 0.000977643633382, (3.0, 6.0): 0.0303088932603, (8.0, 6.0): 0.0252439255803, (3.0, 5.0): 0.0403588579633, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506815370946, (4.0, 10.0): 0.00194116932354, (2.0, 6.0): 0.0252439255803, (6.0, 6.0): 0.0303191807598, (7.0, 10.0): 0.00194191254461, (5.0, 11.0): 0.000813616241375, (4.0, 5.0): 0.0605562685374, (8.0, 11.0): 0.000981241127878, (6.0, 11.0): 0.000977643633382, (2.0, 7.0): 0.0151995126651, (7.0, 7.0): 0.0152028483217, (3.0, 9.0): 0.00385080152942, (1.0, 9.0): 0.00128780534042, (8.0, 7.0): 0.0151995126651, (6.0, 12.0): 0.000245246525103, (6.0, 4.0): 0.0403581869931, (2.0, 10.0): 0.00161963159871, (6.0, 5.0): 0.0605562685374, (7.0, 9.0): 0.00385080152942, (6.0, 7.0): 0.015206383082, (6.0, 9.0): 0.00384985153814, (5.0, 10.0): 0.00194050427992, (6.0, 8.0): 0.00764324195007, (8.0, 12.0): 0.000246249245759, (5.0, 7.0): 0.0152082761133, (2.0, 11.0): 0.000981241127878, (9.0, 9.0): 0.00128780534042, (2.0, 4.0): 0.040298254814, (3.0, 8.0): 0.00764276210087, (8.0, 8.0): 0.00636864740927, (1.0, 7.0): 0.00506815370946, (9.0, 5.0): 0.020149127407, (7.0, 8.0): 0.00764276210087, (7.0, 6.0): 0.0303088932603, (8.0, 4.0): 0.040298254814, }, ]
+87 Stop [{(5.0, 9.0): 0.00384562222817, (4.0, 7.0): 0.0152038620295, (6.0, 10.0): 0.0019381208255, (4.0, 8.0): 0.00763927001025, (5.0, 6.0): 0.0303266329582, (2.0, 8.0): 0.0063653596338, (3.0, 11.0): 0.000813084536445, (4.0, 6.0): 0.0303204767505, (8.0, 9.0): 0.00384957722526, (4.0, 12.0): 0.000244689447265, (2.0, 12.0): 0.000245623269899, (7.0, 11.0): 0.000813084536445, (3.0, 7.0): 0.0152005269218, (2.0, 5.0): 0.0604905574745, (1.0, 11.0): 0.00032794775576, (8.0, 5.0): 0.0604905574745, (5.0, 8.0): 0.0076395456045, (7.0, 5.0): 0.0403649719749, (4.0, 9.0): 0.00384595425756, (5.0, 5.0): 0.0403905288098, (2.0, 9.0): 0.00384957722526, (3.0, 10.0): 0.00193881019027, (4.0, 4.0): 0.0403645163423, (8.0, 10.0): 0.00161695096528, (1.0, 5.0): 0.0201541453445, (9.0, 11.0): 0.00032794775576, (4.0, 11.0): 0.000975641409964, (3.0, 6.0): 0.0303107947175, (8.0, 6.0): 0.0252463531888, (3.0, 5.0): 0.0403649719749, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506732896558, (4.0, 10.0): 0.0019381208255, (2.0, 6.0): 0.0252463531888, (6.0, 6.0): 0.0303204767505, (7.0, 10.0): 0.00193881019027, (5.0, 11.0): 0.000812021839389, (4.0, 5.0): 0.0605644350338, (8.0, 11.0): 0.000978991891474, (6.0, 11.0): 0.000975641409964, (2.0, 7.0): 0.015197381099, (7.0, 7.0): 0.0152005269218, (3.0, 9.0): 0.00384683222175, (1.0, 9.0): 0.00128619484902, (8.0, 7.0): 0.015197381099, (6.0, 12.0): 0.000244689447265, (6.0, 4.0): 0.0403645163423, (2.0, 10.0): 0.00161695096528, (6.0, 5.0): 0.0605644350338, (7.0, 9.0): 0.00384683222175, (6.0, 7.0): 0.0152038620295, (6.0, 9.0): 0.00384595425756, (5.0, 10.0): 0.00193750229782, (6.0, 8.0): 0.00763927001025, (8.0, 12.0): 0.000245623269899, (5.0, 7.0): 0.0152056422939, (2.0, 11.0): 0.000978991891474, (9.0, 9.0): 0.00128619484902, (2.0, 4.0): 0.0403082906891, (3.0, 8.0): 0.0076388053871, (8.0, 8.0): 0.0063653596338, (1.0, 7.0): 0.00506732896558, (9.0, 5.0): 0.0201541453445, (7.0, 8.0): 0.0076388053871, (7.0, 6.0): 0.0303107947175, (8.0, 4.0): 0.0403082906891, }, ]
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+99 Stop [{(5.0, 9.0): 0.00381526245399, (4.0, 7.0): 0.015183952845, (6.0, 10.0): 0.00191422636364, (4.0, 8.0): 0.00760808040164, (5.0, 6.0): 0.0303330760947, (2.0, 8.0): 0.00633964771666, (3.0, 11.0): 0.000799974548175, (4.0, 6.0): 0.0303302877065, (8.0, 9.0): 0.00381689003664, (4.0, 12.0): 0.000240324055986, (2.0, 12.0): 0.000240722417661, (7.0, 11.0): 0.000799974548175, (3.0, 7.0): 0.0151823385565, (2.0, 5.0): 0.0605938683586, (1.0, 11.0): 0.000321157090807, (8.0, 5.0): 0.0605938683586, (5.0, 8.0): 0.00760823107096, (7.0, 5.0): 0.0404129215306, (4.0, 9.0): 0.00381539117829, (5.0, 5.0): 0.040424699041, (2.0, 9.0): 0.00381689003664, (3.0, 10.0): 0.00191450813345, (4.0, 4.0): 0.0404134795324, (8.0, 10.0): 0.00159596268946, (1.0, 5.0): 0.0201938362658, (9.0, 11.0): 0.000321157090807, (4.0, 11.0): 0.000959951248653, (3.0, 6.0): 0.0303257080715, (8.0, 6.0): 0.0252656606499, (3.0, 5.0): 0.0404129215306, (1, 1): 0.0151515151515, (9.0, 7.0): 0.0050609247598, (4.0, 10.0): 0.00191422636364, (2.0, 6.0): 0.0252656606499, (6.0, 6.0): 0.0303302877065, (7.0, 10.0): 0.00191450813345, (5.0, 11.0): 0.000799524976769, (4.0, 5.0): 0.0606276491881, (8.0, 11.0): 0.000961381256613, (6.0, 11.0): 0.000959951248653, (2.0, 7.0): 0.015180822092, (7.0, 7.0): 0.0151823385565, (3.0, 9.0): 0.00381573578761, (1.0, 9.0): 0.00127358949075, (8.0, 7.0): 0.015180822092, (6.0, 12.0): 0.000240324055986, (6.0, 4.0): 0.0404134795324, (2.0, 10.0): 0.00159596268946, (6.0, 5.0): 0.0606276491881, (7.0, 9.0): 0.00381573578761, (6.0, 7.0): 0.015183952845, (6.0, 9.0): 0.00381539117829, (5.0, 10.0): 0.00191396615194, (6.0, 8.0): 0.00760808040164, (8.0, 12.0): 0.000240722417661, (5.0, 7.0): 0.0151847889088, (2.0, 11.0): 0.000961381256613, (9.0, 9.0): 0.00127358949075, (2.0, 4.0): 0.0403876725317, (3.0, 8.0): 0.00760780357075, (8.0, 8.0): 0.00633964771666, (1.0, 7.0): 0.0050609247598, (9.0, 5.0): 0.0201938362658, (7.0, 8.0): 0.00760780357075, (7.0, 6.0): 0.0303257080715, (8.0, 4.0): 0.0403876725317, }, ]
+100 Stop [{(5.0, 9.0): 0.00381370136423, (4.0, 7.0): 0.01518292147, (6.0, 10.0): 0.0019129990541, (4.0, 8.0): 0.00760647504083, (5.0, 6.0): 0.0303333796478, (2.0, 8.0): 0.00633833049934, (3.0, 11.0): 0.000799301682754, (4.0, 6.0): 0.0303307711251, (8.0, 9.0): 0.00381521366854, (4.0, 12.0): 0.000240099893437, (2.0, 12.0): 0.000240471015322, (7.0, 11.0): 0.000799301682754, (3.0, 7.0): 0.0151814047844, (2.0, 5.0): 0.0605992271011, (1.0, 11.0): 0.000320808754839, (8.0, 5.0): 0.0605992271011, (5.0, 8.0): 0.00760661761517, (7.0, 5.0): 0.0404153859976, (4.0, 9.0): 0.0038138204248, (5.0, 5.0): 0.0404264165212, (2.0, 9.0): 0.00381521366854, (3.0, 10.0): 0.00191326073795, (4.0, 4.0): 0.0404159561622, (8.0, 10.0): 0.00159488598511, (1.0, 5.0): 0.0201958961927, (9.0, 11.0): 0.000320808754839, (4.0, 11.0): 0.000959145544361, (3.0, 6.0): 0.0303264746611, (8.0, 6.0): 0.025266668899, (3.0, 5.0): 0.0404153859976, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506059939523, (4.0, 10.0): 0.0019129990541, (2.0, 6.0): 0.025266668899, (6.0, 6.0): 0.0303307711251, (7.0, 10.0): 0.00191326073795, (5.0, 11.0): 0.000798883103562, (4.0, 5.0): 0.0606308490093, (8.0, 11.0): 0.00096047781414, (6.0, 11.0): 0.000959145544361, (2.0, 7.0): 0.0151799803713, (7.0, 7.0): 0.0151814047844, (3.0, 9.0): 0.00381413947337, (1.0, 9.0): 0.00127294308482, (8.0, 7.0): 0.0151799803713, (6.0, 12.0): 0.000240099893437, (6.0, 4.0): 0.0404159561622, (2.0, 10.0): 0.00159488598511, (6.0, 5.0): 0.0606308490093, (7.0, 9.0): 0.00381413947337, (6.0, 7.0): 0.01518292147, (6.0, 9.0): 0.0038138204248, (5.0, 10.0): 0.00191275687958, (6.0, 8.0): 0.00760647504083, (8.0, 12.0): 0.000240471015322, (5.0, 7.0): 0.0151837054726, (2.0, 11.0): 0.00096047781414, (9.0, 9.0): 0.00127294308482, (2.0, 4.0): 0.0403917923854, (3.0, 8.0): 0.00760621189402, (8.0, 8.0): 0.00633833049934, (1.0, 7.0): 0.00506059939523, (9.0, 5.0): 0.0201958961927, (7.0, 8.0): 0.00760621189402, (7.0, 6.0): 0.0303264746611, (8.0, 4.0): 0.0403917923854, }, ]
+101 None [{(5.0, 9.0): 0.00381370136423, (4.0, 7.0): 0.01518292147, (6.0, 10.0): 0.0019129990541, (4.0, 8.0): 0.00760647504083, (5.0, 6.0): 0.0303333796478, (2.0, 8.0): 0.00633833049934, (3.0, 11.0): 0.000799301682754, (4.0, 6.0): 0.0303307711251, (8.0, 9.0): 0.00381521366854, (4.0, 12.0): 0.000240099893437, (2.0, 12.0): 0.000240471015322, (7.0, 11.0): 0.000799301682754, (3.0, 7.0): 0.0151814047844, (2.0, 5.0): 0.0605992271011, (1.0, 11.0): 0.000320808754839, (8.0, 5.0): 0.0605992271011, (5.0, 8.0): 0.00760661761517, (7.0, 5.0): 0.0404153859976, (4.0, 9.0): 0.0038138204248, (5.0, 5.0): 0.0404264165212, (2.0, 9.0): 0.00381521366854, (3.0, 10.0): 0.00191326073795, (4.0, 4.0): 0.0404159561622, (8.0, 10.0): 0.00159488598511, (1.0, 5.0): 0.0201958961927, (9.0, 11.0): 0.000320808754839, (4.0, 11.0): 0.000959145544361, (3.0, 6.0): 0.0303264746611, (8.0, 6.0): 0.025266668899, (3.0, 5.0): 0.0404153859976, (1, 1): 0.0151515151515, (9.0, 7.0): 0.00506059939523, (4.0, 10.0): 0.0019129990541, (2.0, 6.0): 0.025266668899, (6.0, 6.0): 0.0303307711251, (7.0, 10.0): 0.00191326073795, (5.0, 11.0): 0.000798883103562, (4.0, 5.0): 0.0606308490093, (8.0, 11.0): 0.00096047781414, (6.0, 11.0): 0.000959145544361, (2.0, 7.0): 0.0151799803713, (7.0, 7.0): 0.0151814047844, (3.0, 9.0): 0.00381413947337, (1.0, 9.0): 0.00127294308482, (8.0, 7.0): 0.0151799803713, (6.0, 12.0): 0.000240099893437, (6.0, 4.0): 0.0404159561622, (2.0, 10.0): 0.00159488598511, (6.0, 5.0): 0.0606308490093, (7.0, 9.0): 0.00381413947337, (6.0, 7.0): 0.01518292147, (6.0, 9.0): 0.0038138204248, (5.0, 10.0): 0.00191275687958, (6.0, 8.0): 0.00760647504083, (8.0, 12.0): 0.000240471015322, (5.0, 7.0): 0.0151837054726, (2.0, 11.0): 0.00096047781414, (9.0, 9.0): 0.00127294308482, (2.0, 4.0): 0.0403917923854, (3.0, 8.0): 0.00760621189402, (8.0, 8.0): 0.00633833049934, (1.0, 7.0): 0.00506059939523, (9.0, 5.0): 0.0201958961927, (7.0, 8.0): 0.00760621189402, (7.0, 6.0): 0.0303264746611, (8.0, 4.0): 0.0403917923854, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/3-ParticlePredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/3-ParticlePredict.test
new file mode 100644
index 0000000..041b956
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/3-ParticlePredict.test	
@@ -0,0 +1,34 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%% % % % %%
+%    G    %
+%%       %%
+%         %
+%%       %%
+%         %
+%%       %%
+%         %
+%% % % % %%
+%%%%%%%%%%%
+%%%%%%%%P%%
+% %%%%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "100"
+
+numGhosts: "1"
+inference: "ParticleFilter"
+ghost: "GoSouthAgent"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/4-ParticlePredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/4-ParticlePredict.solution
new file mode 100644
index 0000000..48e8c75
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/4-ParticlePredict.solution	
@@ -0,0 +1,155 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(16, 6): 0.00763358778626, (11, 11): 0.00763358778626, (17, 7): 0.00763358778626, (16, 9): 0.00763358778626, (14, 4): 0.00763358778626, (13, 4): 0.00763358778626, (20, 20): 0.00763358778626, (18, 4): 0.00763358778626, (18, 19): 0.00763358778626, (2, 5): 0.00763358778626, (8, 5): 0.00763358778626, (10, 8): 0.00763358778626, (11, 5): 0.00763358778626, (10, 7): 0.00763358778626, (16, 3): 0.00763358778626, (12, 6): 0.00763358778626, (16, 22): 0.00763358778626, (13, 7): 0.00763358778626, (18, 9): 0.00763358778626, (15, 4): 0.00763358778626, (18, 20): 0.00763358778626, (15, 18): 0.00763358778626, (9, 3): 0.00763358778626, (19, 24): 0.00763358778626, (12, 11): 0.00763358778626, (13, 10): 0.00763358778626, (18, 10): 0.00763358778626, (17, 18): 0.00763358778626, (9, 9): 0.00763358778626, (15, 15): 0.00763358778626, (11, 8): 0.00763358778626, (14, 8): 0.00763358778626, (21, 24): 0.00763358778626, (20, 16): 0.00763358778626, (17, 8): 0.00763358778626, (18, 15): 0.00763358778626, (8, 9): 0.00763358778626, (9, 4): 0.00763358778626, (10, 3): 0.00763358778626, (16, 7): 0.00763358778626, (11, 10): 0.00763358778626, (17, 6): 0.00763358778626, (16, 10): 0.00763358778626, (14, 5): 0.00763358778626, (13, 3): 0.00763358778626, (18, 5): 0.00763358778626, (17, 11): 0.00763358778626, (18, 16): 0.00763358778626, (8, 6): 0.00763358778626, (10, 9): 0.00763358778626, (9, 7): 0.00763358778626, (11, 4): 0.00763358778626, (10, 4): 0.00763358778626, (16, 4): 0.00763358778626, (12, 7): 0.00763358778626, (11, 9): 0.00763358778626, (15, 10): 0.00763358778626, (14, 6): 0.00763358778626, (13, 6): 0.00763358778626, (18, 6): 0.00763358778626, (17, 22): 0.00763358778626, (15, 7): 0.00763358778626, (18, 21): 0.00763358778626, (8, 3): 0.00763358778626, (10, 10): 0.00763358778626, (11, 3): 0.00763358778626, (12, 4): 0.00763358778626, (15, 9): 0.00763358778626, (14, 3): 0.00763358778626, (13, 9): 0.00763358778626, (12, 8): 0.00763358778626, (18, 11): 0.00763358778626, (18, 22): 0.00763358778626, (9, 8): 0.00763358778626, (14, 9): 0.00763358778626, (12, 9): 0.00763358778626, (17, 15): 0.00763358778626, (21, 20): 0.00763358778626, (18, 12): 0.00763358778626, (15, 11): 0.00763358778626, (8, 10): 0.00763358778626, (9, 11): 0.00763358778626, (12, 3): 0.00763358778626, (17, 5): 0.00763358778626, (16, 11): 0.00763358778626, (14, 10): 0.00763358778626, (17, 10): 0.00763358778626, (15, 3): 0.00763358778626, (18, 17): 0.00763358778626, (8, 7): 0.00763358778626, (9, 6): 0.00763358778626, (11, 7): 0.00763358778626, (10, 5): 0.00763358778626, (16, 5): 0.00763358778626, (20, 24): 0.00763358778626, (19, 16): 0.00763358778626, (16, 8): 0.00763358778626, (14, 7): 0.00763358778626, (13, 5): 0.00763358778626, (18, 7): 0.00763358778626, (15, 6): 0.00763358778626, (18, 18): 0.00763358778626, (8, 4): 0.00763358778626, (10, 11): 0.00763358778626, (13, 8): 0.00763358778626, (10, 6): 0.00763358778626, (15, 22): 0.00763358778626, (12, 5): 0.00763358778626, (17, 3): 0.00763358778626, (15, 8): 0.00763358778626, (21, 16): 0.00763358778626, (18, 8): 0.00763358778626, (15, 5): 0.00763358778626, (18, 23): 0.00763358778626, (16, 15): 0.00763358778626, (12, 10): 0.00763358778626, (16, 18): 0.00763358778626, (13, 11): 0.00763358778626, (18, 13): 0.00763358778626, (18, 24): 0.00763358778626, (8, 11): 0.00763358778626, (9, 10): 0.00763358778626, (19, 20): 0.00763358778626, (17, 4): 0.00763358778626, (14, 11): 0.00763358778626, (18, 3): 0.00763358778626, (17, 9): 0.00763358778626, (18, 14): 0.00763358778626, (8, 8): 0.00763358778626, (9, 5): 0.00763358778626, (11, 6): 0.00763358778626, }, ]
+1 Stop [{(16, 6): 0.00763358778626, (11, 11): 0.00763358778626, (17, 7): 0.00763358778626, (16, 9): 0.00763358778626, (14, 4): 0.00763358778626, (13, 4): 0.00763358778626, (20, 20): 0.00763358778626, (18, 4): 0.00763358778626, (18, 19): 0.00763358778626, (2, 5): 0.00763358778626, (8, 5): 0.00763358778626, (10, 8): 0.00763358778626, (11, 5): 0.00763358778626, (10, 7): 0.00763358778626, (16, 3): 0.00763358778626, (12, 6): 0.00763358778626, (16, 22): 0.00763358778626, (13, 7): 0.00763358778626, (18, 9): 0.00763358778626, (15, 4): 0.00763358778626, (18, 20): 0.00763358778626, (15, 18): 0.00763358778626, (9, 3): 0.00763358778626, (19, 24): 0.00763358778626, (12, 11): 0.00763358778626, (13, 10): 0.00763358778626, (18, 10): 0.00763358778626, (17, 18): 0.00763358778626, (9, 9): 0.00763358778626, (15, 15): 0.00763358778626, (11, 8): 0.00763358778626, (14, 8): 0.00763358778626, (21, 24): 0.00763358778626, (20, 16): 0.00763358778626, (17, 8): 0.00763358778626, (18, 15): 0.00763358778626, (8, 9): 0.00763358778626, (9, 4): 0.00763358778626, (10, 3): 0.00763358778626, (16, 7): 0.00763358778626, (11, 10): 0.00763358778626, (17, 6): 0.00763358778626, (16, 10): 0.00763358778626, (14, 5): 0.00763358778626, (13, 3): 0.00763358778626, (18, 5): 0.00763358778626, (17, 11): 0.00763358778626, (18, 16): 0.00763358778626, (8, 6): 0.00763358778626, (10, 9): 0.00763358778626, (9, 7): 0.00763358778626, (11, 4): 0.00763358778626, (10, 4): 0.00763358778626, (16, 4): 0.00763358778626, (12, 7): 0.00763358778626, (11, 9): 0.00763358778626, (15, 10): 0.00763358778626, (14, 6): 0.00763358778626, (13, 6): 0.00763358778626, (18, 6): 0.00763358778626, (17, 22): 0.00763358778626, (15, 7): 0.00763358778626, (18, 21): 0.00763358778626, (8, 3): 0.00763358778626, (10, 10): 0.00763358778626, (11, 3): 0.00763358778626, (12, 4): 0.00763358778626, (15, 9): 0.00763358778626, (14, 3): 0.00763358778626, (13, 9): 0.00763358778626, (12, 8): 0.00763358778626, (18, 11): 0.00763358778626, (18, 22): 0.00763358778626, (9, 8): 0.00763358778626, (14, 9): 0.00763358778626, (12, 9): 0.00763358778626, (17, 15): 0.00763358778626, (21, 20): 0.00763358778626, (18, 12): 0.00763358778626, (15, 11): 0.00763358778626, (8, 10): 0.00763358778626, (9, 11): 0.00763358778626, (12, 3): 0.00763358778626, (17, 5): 0.00763358778626, (16, 11): 0.00763358778626, (14, 10): 0.00763358778626, (17, 10): 0.00763358778626, (15, 3): 0.00763358778626, (18, 17): 0.00763358778626, (8, 7): 0.00763358778626, (9, 6): 0.00763358778626, (11, 7): 0.00763358778626, (10, 5): 0.00763358778626, (16, 5): 0.00763358778626, (20, 24): 0.00763358778626, (19, 16): 0.00763358778626, (16, 8): 0.00763358778626, (14, 7): 0.00763358778626, (13, 5): 0.00763358778626, (18, 7): 0.00763358778626, (15, 6): 0.00763358778626, (18, 18): 0.00763358778626, (8, 4): 0.00763358778626, (10, 11): 0.00763358778626, (13, 8): 0.00763358778626, (10, 6): 0.00763358778626, (15, 22): 0.00763358778626, (12, 5): 0.00763358778626, (17, 3): 0.00763358778626, (15, 8): 0.00763358778626, (21, 16): 0.00763358778626, (18, 8): 0.00763358778626, (15, 5): 0.00763358778626, (18, 23): 0.00763358778626, (16, 15): 0.00763358778626, (12, 10): 0.00763358778626, (16, 18): 0.00763358778626, (13, 11): 0.00763358778626, (18, 13): 0.00763358778626, (18, 24): 0.00763358778626, (8, 11): 0.00763358778626, (9, 10): 0.00763358778626, (19, 20): 0.00763358778626, (17, 4): 0.00763358778626, (14, 11): 0.00763358778626, (18, 3): 0.00763358778626, (17, 9): 0.00763358778626, (18, 14): 0.00763358778626, (8, 8): 0.00763358778626, (9, 5): 0.00763358778626, (11, 6): 0.00763358778626, }, ]
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+3 Stop [{(16.0, 6.0): 0.00770992366412, (11.0, 11.0): 0.00704198473282, (17.0, 7.0): 0.00814885496183, (16.0, 9.0): 0.00778625954198, (14.0, 4.0): 0.00814885496183, (13.0, 4.0): 0.00814885496183, (20.0, 20.0): 0.00848176420696, (18.0, 4.0): 0.00758481764207, (18.0, 19.0): 0.00689143341815, (8.0, 5.0): 0.0072010178117, (10.0, 8.0): 0.00770992366412, (11.0, 5.0): 0.00770992366412, (10.0, 7.0): 0.00770992366412, (16.0, 3.0): 0.0072010178117, (12.0, 6.0): 0.00763358778626, (16.0, 22.0): 0.00848176420696, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00704198473282, (15.0, 4.0): 0.00814885496183, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00614927905004, (9.0, 3.0): 0.00758481764207, (19.0, 24.0): 0.00805767599661, (12.0, 11.0): 0.00704198473282, (13.0, 10.0): 0.00814885496183, (18.0, 10.0): 0.0073727735369, (17.0, 18.0): 0.00768659881255, (9.0, 9.0): 0.00822519083969, (16.0, 18.0): 0.00848176420696, (11.0, 8.0): 0.00763358778626, (14.0, 8.0): 0.00763358778626, (21.0, 24.0): 0.00614927905004, (20.0, 16.0): 0.00848176420696, (17.0, 8.0): 0.00814885496183, (18.0, 15.0): 0.00911789652248, (8.0, 9.0): 0.0072010178117, (9.0, 4.0): 0.00882951653944, (10.0, 3.0): 0.0072010178117, (16.0, 7.0): 0.00770992366412, (11.0, 10.0): 0.00814885496183, (17.0, 6.0): 0.00814885496183, (16.0, 10.0): 0.00822519083969, (14.0, 5.0): 0.00770992366412, (13.0, 3.0): 0.00704198473282, (18.0, 5.0): 0.0072010178117, (17.0, 11.0): 0.0073727735369, (18.0, 16.0): 0.0089058524173, (8.0, 6.0): 0.00704198473282, (10.0, 9.0): 0.00778625954198, (9.0, 7.0): 0.00814885496183, (11.0, 4.0): 0.00814885496183, (10.0, 4.0): 0.00822519083969, (16.0, 4.0): 0.00822519083969, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00770992366412, (15.0, 10.0): 0.00814885496183, (14.0, 6.0): 0.00763358778626, (13.0, 6.0): 0.00763358778626, (18.0, 6.0): 0.00704198473282, (17.0, 22.0): 0.00768659881255, (15.0, 7.0): 0.00763358778626, (18.0, 21.0): 0.00689143341815, (8.0, 3.0): 0.00606446140797, (10.0, 10.0): 0.00822519083969, (11.0, 3.0): 0.00704198473282, (12.0, 4.0): 0.00814885496183, (15.0, 9.0): 0.00770992366412, (14.0, 3.0): 0.00704198473282, (13.0, 9.0): 0.00770992366412, (12.0, 8.0): 0.00763358778626, (18.0, 11.0): 0.00802586938083, (18.0, 22.0): 0.00917090754877, (9.0, 8.0): 0.00814885496183, (14.0, 9.0): 0.00770992366412, (12.0, 9.0): 0.00770992366412, (17.0, 15.0): 0.00752756573367, (21.0, 20.0): 0.00614927905004, (18.0, 12.0): 0.00694444444444, (15.0, 11.0): 0.00704198473282, (8.0, 10.0): 0.00758481764207, (9.0, 11.0): 0.00758481764207, (12.0, 3.0): 0.00704198473282, (17.0, 5.0): 0.00822519083969, (16.0, 11.0): 0.00704198473282, (14.0, 10.0): 0.00814885496183, (17.0, 10.0): 0.00851145038168, (15.0, 3.0): 0.00704198473282, (18.0, 17.0): 0.00673240033927, (8.0, 7.0): 0.00704198473282, (9.0, 6.0): 0.00814885496183, (11.0, 7.0): 0.00763358778626, (10.0, 5.0): 0.00778625954198, (16.0, 5.0): 0.00778625954198, (20.0, 24.0): 0.00869380831213, (19.0, 16.0): 0.00752756573367, (16.0, 8.0): 0.00770992366412, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00770992366412, (18.0, 20.0): 0.0089588634436, (18.0, 7.0): 0.00704198473282, (15.0, 6.0): 0.00763358778626, (18.0, 18.0): 0.0089588634436, (8.0, 4.0): 0.00758481764207, (10.0, 11.0): 0.0072010178117, (13.0, 8.0): 0.00763358778626, (10.0, 6.0): 0.00770992366412, (15.0, 22.0): 0.00614927905004, (12.0, 5.0): 0.00770992366412, (17.0, 3.0): 0.00758481764207, (15.0, 8.0): 0.00763358778626, (21.0, 16.0): 0.00614927905004, (18.0, 8.0): 0.00704198473282, (15.0, 5.0): 0.00770992366412, (18.0, 23.0): 0.00726251060221, (16.0, 15.0): 0.00848176420696, (12.0, 10.0): 0.00814885496183, (15.0, 15.0): 0.00614927905004, (13.0, 11.0): 0.00704198473282, (18.0, 13.0): 0.00720949957591, (18.0, 24.0): 0.00742154368109, (8.0, 11.0): 0.00606446140797, (9.0, 10.0): 0.00882951653944, (19.0, 20.0): 0.00768659881255, (17.0, 4.0): 0.00882951653944, (14.0, 11.0): 0.00704198473282, (18.0, 3.0): 0.00606446140797, (17.0, 9.0): 0.00822519083969, (18.0, 14.0): 0.00710347752332, (8.0, 8.0): 0.00704198473282, (9.0, 5.0): 0.00822519083969, (11.0, 6.0): 0.00763358778626, }, ]
+4 Stop [{(16.0, 6.0): 0.00779770992366, (11.0, 11.0): 0.0069510178117, (17.0, 7.0): 0.00819179389313, (16.0, 9.0): 0.00793129770992, (14.0, 4.0): 0.00819179389313, (13.0, 4.0): 0.00819179389313, (20.0, 20.0): 0.00846409386486, (18.0, 4.0): 0.00748384930732, (18.0, 19.0): 0.00677657619452, (8.0, 5.0): 0.00710199321459, (10.0, 8.0): 0.00779770992366, (11.0, 5.0): 0.00779770992366, (10.0, 7.0): 0.00778244274809, (16.0, 3.0): 0.00710199321459, (12.0, 6.0): 0.00764885496183, (16.0, 22.0): 0.00846409386486, (13.0, 7.0): 0.00763358778626, (18.0, 9.0): 0.00700922391858, (15.0, 4.0): 0.0082070610687, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00590189426067, (9.0, 3.0): 0.00748384930732, (19.0, 24.0): 0.00805767599661, (12.0, 11.0): 0.00691125954198, (13.0, 10.0): 0.00819179389313, (18.0, 10.0): 0.00731244698897, (17.0, 18.0): 0.00762917020074, (9.0, 9.0): 0.00839821882952, (16.0, 18.0): 0.00846409386486, (11.0, 8.0): 0.0076641221374, (14.0, 8.0): 0.00764885496183, (21.0, 24.0): 0.00597257562906, (20.0, 16.0): 0.00841108283856, (17.0, 8.0): 0.0082070610687, (18.0, 15.0): 0.00938295165394, (8.0, 9.0): 0.00710199321459, (9.0, 4.0): 0.0088483884648, (10.0, 3.0): 0.00710199321459, (16.0, 7.0): 0.00778244274809, (11.0, 10.0): 0.0082070610687, (17.0, 6.0): 0.0082070610687, (16.0, 10.0): 0.00829484732824, (14.0, 5.0): 0.00778244274809, (13.0, 3.0): 0.00691125954198, (18.0, 5.0): 0.00710199321459, (17.0, 11.0): 0.00731244698897, (18.0, 16.0): 0.00925925925926, (8.0, 6.0): 0.0069510178117, (10.0, 9.0): 0.00793129770992, (9.0, 7.0): 0.00819179389313, (11.0, 4.0): 0.0082070610687, (10.0, 4.0): 0.00839821882952, (16.0, 4.0): 0.00839821882952, (12.0, 7.0): 0.00763358778626, (11.0, 9.0): 0.00779770992366, (15.0, 10.0): 0.0082070610687, (14.0, 6.0): 0.00764885496183, (13.0, 6.0): 0.00764885496183, (18.0, 6.0): 0.0069510178117, (17.0, 22.0): 0.00768218122703, (15.0, 7.0): 0.00764885496183, (18.0, 21.0): 0.00682958722081, (8.0, 3.0): 0.00581389595703, (10.0, 10.0): 0.00839821882952, (11.0, 3.0): 0.0069510178117, (12.0, 4.0): 0.00819179389313, (15.0, 9.0): 0.00779770992366, (14.0, 3.0): 0.00691125954198, (13.0, 9.0): 0.00778244274809, (12.0, 8.0): 0.00764885496183, (18.0, 11.0): 0.00800766892847, (18.0, 22.0): 0.0095729078315, (9.0, 8.0): 0.0082070610687, (14.0, 9.0): 0.00778244274809, (12.0, 9.0): 0.00778244274809, (17.0, 15.0): 0.00761591744416, (21.0, 20.0): 0.00590189426067, (18.0, 12.0): 0.00672444868533, (15.0, 11.0): 0.00691125954198, (8.0, 10.0): 0.00748384930732, (9.0, 11.0): 0.00748384930732, (12.0, 3.0): 0.00691125954198, (17.0, 5.0): 0.00839821882952, (16.0, 11.0): 0.00700922391858, (14.0, 10.0): 0.00819179389313, (17.0, 10.0): 0.00867875318066, (15.0, 3.0): 0.0069510178117, (18.0, 17.0): 0.00671031241165, (8.0, 7.0): 0.00691125954198, (9.0, 6.0): 0.0082070610687, (11.0, 7.0): 0.00764885496183, (10.0, 5.0): 0.00793129770992, (16.0, 5.0): 0.00793129770992, (20.0, 24.0): 0.00865846762793, (19.0, 16.0): 0.00756290641787, (16.0, 8.0): 0.00779770992366, (14.0, 7.0): 0.00763358778626, (13.0, 5.0): 0.00778244274809, (18.0, 20.0): 0.00939620441052, (18.0, 7.0): 0.00691125954198, (15.0, 6.0): 0.0076641221374, (18.0, 18.0): 0.00934319338422, (8.0, 4.0): 0.00748384930732, (10.0, 11.0): 0.00710199321459, (13.0, 8.0): 0.00764885496183, (10.0, 6.0): 0.00779770992366, (15.0, 22.0): 0.00590189426067, (12.0, 5.0): 0.00778244274809, (17.0, 3.0): 0.00748384930732, (15.0, 8.0): 0.0076641221374, (21.0, 16.0): 0.00590189426067, (18.0, 8.0): 0.00691125954198, (15.0, 5.0): 0.00779770992366, (18.0, 23.0): 0.00718741164829, (16.0, 15.0): 0.00841108283856, (12.0, 10.0): 0.00819179389313, (15.0, 15.0): 0.00590189426067, (13.0, 11.0): 0.00691125954198, (18.0, 13.0): 0.00708580718123, (18.0, 24.0): 0.00758057675997, (8.0, 11.0): 0.00581389595703, (9.0, 10.0): 0.0088483884648, (19.0, 20.0): 0.00762917020074, (17.0, 4.0): 0.0088483884648, (14.0, 11.0): 0.00691125954198, (18.0, 3.0): 0.00581389595703, (17.0, 9.0): 0.00829484732824, (18.0, 14.0): 0.00705046649703, (8.0, 8.0): 0.0069510178117, (9.0, 5.0): 0.00839821882952, (11.0, 6.0): 0.0076641221374, }, ]
+5 Stop [{(16.0, 6.0): 0.00787652671756, (11.0, 11.0): 0.00688247985581, (17.0, 7.0): 0.00820548664122, (16.0, 9.0): 0.00802328244275, (14.0, 4.0): 0.00820243320611, (13.0, 4.0): 0.00819937977099, (20.0, 20.0): 0.00831536848553, (18.0, 4.0): 0.00735410364245, (18.0, 19.0): 0.00694370818019, (8.0, 5.0): 0.00706385884931, (10.0, 8.0): 0.00787652671756, (11.0, 5.0): 0.00787652671756, (10.0, 7.0): 0.00784370229008, (16.0, 3.0): 0.00706385884931, (12.0, 6.0): 0.00767557251908, (16.0, 22.0): 0.00833303882763, (13.0, 7.0): 0.00763969465649, (18.0, 9.0): 0.00696720207803, (15.0, 4.0): 0.00825671119593, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00577231175196, (9.0, 3.0): 0.00735410364245, (19.0, 24.0): 0.00809890679484, (12.0, 11.0): 0.00683174300254, (13.0, 10.0): 0.00819937977099, (18.0, 10.0): 0.00731808559514, (17.0, 18.0): 0.00770021970125, (9.0, 9.0): 0.00845249151824, (16.0, 18.0): 0.00831536848553, (11.0, 8.0): 0.00771145038168, (14.0, 8.0): 0.00767557251908, (21.0, 24.0): 0.00587244369051, (20.0, 16.0): 0.00827561021581, (17.0, 8.0): 0.00822609732824, (18.0, 15.0): 0.00954934737537, (8.0, 9.0): 0.00706385884931, (9.0, 4.0): 0.00887088987843, (10.0, 3.0): 0.00706385884931, (16.0, 7.0): 0.00784370229008, (11.0, 10.0): 0.00825671119593, (17.0, 6.0): 0.00825671119593, (16.0, 10.0): 0.00837469783715, (14.0, 5.0): 0.00784064885496, (13.0, 3.0): 0.00682180343511, (18.0, 5.0): 0.00706385884931, (17.0, 11.0): 0.00731808559514, (18.0, 16.0): 0.00941829233814, (8.0, 6.0): 0.00688247985581, (10.0, 9.0): 0.00806463104326, (9.0, 7.0): 0.00820548664122, (11.0, 4.0): 0.00825671119593, (10.0, 4.0): 0.00845249151824, (16.0, 4.0): 0.00845249151824, (12.0, 7.0): 0.0076427480916, (11.0, 9.0): 0.00787652671756, (15.0, 10.0): 0.00822609732824, (14.0, 6.0): 0.00767557251908, (13.0, 6.0): 0.00767251908397, (18.0, 6.0): 0.00688247985581, (17.0, 22.0): 0.00777531865517, (15.0, 7.0): 0.0076786259542, (18.0, 21.0): 0.00701880713411, (8.0, 3.0): 0.00567988997267, (10.0, 10.0): 0.00845249151824, (11.0, 3.0): 0.00688247985581, (12.0, 4.0): 0.00820243320611, (15.0, 9.0): 0.00787652671756, (14.0, 3.0): 0.00683174300254, (13.0, 9.0): 0.00783759541985, (12.0, 8.0): 0.00767557251908, (18.0, 11.0): 0.00789962362171, (18.0, 22.0): 0.00962628698992, (9.0, 8.0): 0.00825671119593, (14.0, 9.0): 0.00784064885496, (12.0, 9.0): 0.00784064885496, (17.0, 15.0): 0.00768807134106, (21.0, 20.0): 0.00577231175196, (18.0, 12.0): 0.0066053358543, (15.0, 11.0): 0.00684934796438, (8.0, 10.0): 0.00735410364245, (9.0, 11.0): 0.00735410364245, (12.0, 3.0): 0.00683174300254, (17.0, 5.0): 0.00845249151824, (16.0, 11.0): 0.00696720207803, (14.0, 10.0): 0.00820243320611, (17.0, 10.0): 0.00870991306192, (15.0, 3.0): 0.00688247985581, (18.0, 17.0): 0.00688738396475, (8.0, 7.0): 0.00684168256997, (9.0, 6.0): 0.00825671119593, (11.0, 7.0): 0.0076786259542, (10.0, 5.0): 0.00806463104326, (16.0, 5.0): 0.00806463104326, (20.0, 24.0): 0.00855833568938, (19.0, 16.0): 0.00763947790029, (16.0, 8.0): 0.00787652671756, (14.0, 7.0): 0.0076427480916, (13.0, 5.0): 0.00783759541985, (18.0, 20.0): 0.00942749564132, (18.0, 7.0): 0.00683174300254, (15.0, 6.0): 0.00771145038168, (18.0, 18.0): 0.00937448461502, (8.0, 4.0): 0.00735410364245, (10.0, 11.0): 0.00706385884931, (13.0, 8.0): 0.00767251908397, (10.0, 6.0): 0.00787652671756, (15.0, 22.0): 0.00577231175196, (12.0, 5.0): 0.00784064885496, (17.0, 3.0): 0.00735410364245, (15.0, 8.0): 0.00771145038168, (21.0, 16.0): 0.00575464140986, (18.0, 8.0): 0.00684934796438, (15.0, 5.0): 0.00787652671756, (18.0, 23.0): 0.00731588976063, (16.0, 15.0): 0.00829328055791, (12.0, 10.0): 0.00820243320611, (15.0, 15.0): 0.00575464140986, (13.0, 11.0): 0.00682180343511, (18.0, 13.0): 0.00695357412119, (18.0, 24.0): 0.00760855480162, (8.0, 11.0): 0.00567988997267, (9.0, 10.0): 0.00887088987843, (19.0, 20.0): 0.00771347245783, (17.0, 4.0): 0.00887088987843, (14.0, 11.0): 0.00682180343511, (18.0, 3.0): 0.00567988997267, (17.0, 9.0): 0.00837469783715, (18.0, 14.0): 0.00705782913957, (8.0, 8.0): 0.00688247985581, (9.0, 5.0): 0.00845249151824, (11.0, 6.0): 0.00771145038168, }, ]
+6 Stop [{(16.0, 6.0): 0.0079506043257, (11.0, 11.0): 0.0068458626661, (17.0, 7.0): 0.00821433524173, (16.0, 9.0): 0.00810514631043, (14.0, 4.0): 0.00820777035623, (13.0, 4.0): 0.00819381917939, (20.0, 20.0): 0.0082291028571, (18.0, 4.0): 0.00727196525618, (18.0, 19.0): 0.00701506445748, (8.0, 5.0): 0.00701560889054, (10.0, 8.0): 0.0079506043257, (11.0, 5.0): 0.00794999363868, (10.0, 7.0): 0.00789617366412, (16.0, 3.0): 0.00701560889054, (12.0, 6.0): 0.00770858778626, (16.0, 22.0): 0.00825560837024, (13.0, 7.0): 0.00765404580153, (18.0, 9.0): 0.00695859847682, (15.0, 4.0): 0.00827825249152, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00565794537116, (9.0, 3.0): 0.00727196525618, (19.0, 24.0): 0.00808859909528, (12.0, 11.0): 0.00677449321459, (13.0, 10.0): 0.00819381917939, (18.0, 10.0): 0.0072882104361, (17.0, 18.0): 0.00768215054935, (9.0, 9.0): 0.0084949094395, (16.0, 18.0): 0.00822468527157, (11.0, 8.0): 0.00776374045802, (14.0, 8.0): 0.00770858778626, (21.0, 24.0): 0.00578900040838, (20.0, 16.0): 0.00818235007696, (17.0, 8.0): 0.00824889869593, (18.0, 15.0): 0.00965721008859, (8.0, 9.0): 0.00701560889054, (9.0, 4.0): 0.0088322264042, (10.0, 3.0): 0.00701560889054, (16.0, 7.0): 0.00789617366412, (11.0, 10.0): 0.00827825249152, (17.0, 6.0): 0.00827886317854, (16.0, 10.0): 0.00840859865352, (14.0, 5.0): 0.00788655534351, (13.0, 3.0): 0.00676119831425, (18.0, 5.0): 0.00701560889054, (17.0, 11.0): 0.0072882104361, (18.0, 16.0): 0.00958419721672, (8.0, 6.0): 0.00684834755796, (10.0, 9.0): 0.00814453350297, (9.0, 7.0): 0.00822294290712, (11.0, 4.0): 0.00827825249152, (10.0, 4.0): 0.0084949094395, (16.0, 4.0): 0.0084949094395, (12.0, 7.0): 0.00766244274809, (11.0, 9.0): 0.00794999363868, (15.0, 10.0): 0.00824828800891, (14.0, 6.0): 0.00770858778626, (13.0, 6.0): 0.00770019083969, (18.0, 6.0): 0.0068458626661, (17.0, 22.0): 0.00777602424175, (15.0, 7.0): 0.00771759541985, (18.0, 21.0): 0.00710304803584, (8.0, 3.0): 0.00557034847878, (10.0, 10.0): 0.0084949094395, (11.0, 3.0): 0.0068458626661, (12.0, 4.0): 0.00820777035623, (15.0, 9.0): 0.00793560114504, (14.0, 3.0): 0.00677449321459, (13.0, 9.0): 0.00787815839695, (12.0, 8.0): 0.00770858778626, (18.0, 11.0): 0.0078357273211, (18.0, 22.0): 0.00977657693078, (9.0, 8.0): 0.00827886317854, (14.0, 9.0): 0.00788655534351, (12.0, 9.0): 0.00788655534351, (17.0, 15.0): 0.0077144541435, (21.0, 20.0): 0.00565794537116, (18.0, 12.0): 0.00649454256393, (15.0, 11.0): 0.00680480783503, (8.0, 10.0): 0.00727196525618, (9.0, 11.0): 0.00727196525618, (12.0, 3.0): 0.00677449321459, (17.0, 5.0): 0.0084949094395, (16.0, 11.0): 0.00695859847682, (14.0, 10.0): 0.00819916269084, (17.0, 10.0): 0.00875090454481, (15.0, 3.0): 0.0068458626661, (18.0, 17.0): 0.00699398889321, (8.0, 7.0): 0.00679275789864, (9.0, 6.0): 0.00827886317854, (11.0, 7.0): 0.00771759541985, (10.0, 5.0): 0.00814453350297, (16.0, 5.0): 0.00814453350297, (20.0, 24.0): 0.00848863600666, (19.0, 16.0): 0.00765960245657, (16.0, 8.0): 0.00793621183206, (14.0, 7.0): 0.00766244274809, (13.0, 5.0): 0.00787815839695, (18.0, 20.0): 0.0095822031677, (18.0, 7.0): 0.00678199003393, (15.0, 6.0): 0.00776374045802, (18.0, 18.0): 0.00952072510249, (8.0, 4.0): 0.00727196525618, (10.0, 11.0): 0.00701560889054, (13.0, 8.0): 0.00770019083969, (10.0, 6.0): 0.0079506043257, (15.0, 22.0): 0.00566383548519, (12.0, 5.0): 0.00788655534351, (17.0, 3.0): 0.00727196525618, (15.0, 8.0): 0.00776374045802, (21.0, 16.0): 0.00563585744353, (18.0, 8.0): 0.00680729272689, (15.0, 5.0): 0.00794999363868, (18.0, 23.0): 0.00738138660156, (16.0, 15.0): 0.00820443800459, (12.0, 10.0): 0.00820777035623, (15.0, 15.0): 0.00564174755757, (13.0, 11.0): 0.00675871342239, (18.0, 13.0): 0.00687224637169, (18.0, 24.0): 0.00767445045236, (8.0, 11.0): 0.00557034847878, (9.0, 10.0): 0.0088322264042, (19.0, 20.0): 0.00769982089145, (17.0, 4.0): 0.0088322264042, (14.0, 11.0): 0.00676372534987, (18.0, 3.0): 0.00557034847878, (17.0, 9.0): 0.00840859865352, (18.0, 14.0): 0.00705780459743, (8.0, 8.0): 0.00684834755796, (9.0, 5.0): 0.0084949094395, (11.0, 6.0): 0.00776374045802, }, ]
+7 Stop [{(16.0, 6.0): 0.00800678302587, (11.0, 11.0): 0.00681464169111, (17.0, 7.0): 0.00822315166455, (16.0, 9.0): 0.00815883131891, (14.0, 4.0): 0.00820690277778, (13.0, 4.0): 0.00818780323632, (20.0, 20.0): 0.00813861393509, (18.0, 4.0): 0.00719512164378, (18.0, 19.0): 0.00711408688671, (8.0, 5.0): 0.00698296231407, (10.0, 8.0): 0.00800678302587, (11.0, 5.0): 0.00800461508694, (10.0, 7.0): 0.0079475841285, (16.0, 3.0): 0.0069823410911, (12.0, 6.0): 0.00774430343511, (16.0, 22.0): 0.00817579527992, (13.0, 7.0): 0.00767586259542, (18.0, 9.0): 0.00694524514066, (15.0, 4.0): 0.00829765085171, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00557053444277, (9.0, 3.0): 0.00719512164378, (19.0, 24.0): 0.00808389518477, (12.0, 11.0): 0.00673632139702, (13.0, 10.0): 0.00818546048028, (18.0, 10.0): 0.00727081496747, (17.0, 18.0): 0.0076824598826, (9.0, 9.0): 0.00850400872768, (16.0, 18.0): 0.00813125129255, (11.0, 8.0): 0.0078181043257, (14.0, 8.0): 0.00774430343511, (21.0, 24.0): 0.00572404553974, (20.0, 16.0): 0.00809857956628, (17.0, 8.0): 0.00826343206637, (18.0, 15.0): 0.0097344380733, (8.0, 9.0): 0.00698296231407, (9.0, 4.0): 0.00880039168473, (10.0, 3.0): 0.0069823410911, (16.0, 7.0): 0.00794298409669, (11.0, 10.0): 0.00829765085171, (17.0, 6.0): 0.00829920810362, (16.0, 10.0): 0.00844223712274, (14.0, 5.0): 0.00792621310433, (13.0, 3.0): 0.00671631002173, (18.0, 5.0): 0.0069823410911, (17.0, 11.0): 0.00727081496747, (18.0, 16.0): 0.00969488227625, (8.0, 6.0): 0.00681995122249, (10.0, 9.0): 0.00820699006927, (9.0, 7.0): 0.00823355806033, (11.0, 4.0): 0.00829765085171, (10.0, 4.0): 0.00850388659027, (16.0, 4.0): 0.00850388659027, (12.0, 7.0): 0.0076902519084, (11.0, 9.0): 0.00800461508694, (15.0, 10.0): 0.00825953205842, (14.0, 6.0): 0.00774430343511, (13.0, 6.0): 0.00772991412214, (18.0, 6.0): 0.00681663803335, (17.0, 22.0): 0.00778802177003, (15.0, 7.0): 0.00776073854962, (18.0, 21.0): 0.00720737770324, (8.0, 3.0): 0.00549276545435, (10.0, 10.0): 0.00850388659027, (11.0, 3.0): 0.00681464169111, (12.0, 4.0): 0.00820690277778, (15.0, 9.0): 0.00798786625318, (14.0, 3.0): 0.00673694261998, (13.0, 9.0): 0.00790905582061, (12.0, 8.0): 0.00774430343511, (18.0, 11.0): 0.00776788456964, (18.0, 22.0): 0.00986429719241, (9.0, 8.0): 0.00830155085966, (14.0, 9.0): 0.00792161307252, (12.0, 9.0): 0.00792621310433, (17.0, 15.0): 0.00772059990484, (21.0, 20.0): 0.00557200697128, (18.0, 12.0): 0.00641452814215, (15.0, 11.0): 0.00678144051721, (8.0, 10.0): 0.00719512164378, (9.0, 11.0): 0.00719512164378, (12.0, 3.0): 0.00673694261998, (17.0, 5.0): 0.00850400872768, (16.0, 11.0): 0.00694462391769, (14.0, 10.0): 0.008196496382, (17.0, 10.0): 0.00875772558842, (15.0, 3.0): 0.00681464169111, (18.0, 17.0): 0.00710756021087, (8.0, 7.0): 0.00676695183507, (9.0, 6.0): 0.00830155085966, (11.0, 7.0): 0.00776073854962, (10.0, 5.0): 0.00820699006927, (16.0, 5.0): 0.00820699006927, (20.0, 24.0): 0.00842024523817, (19.0, 16.0): 0.00767670014869, (16.0, 8.0): 0.00799003419211, (14.0, 7.0): 0.0076902519084, (13.0, 5.0): 0.00790905582061, (18.0, 20.0): 0.00966819525352, (18.0, 7.0): 0.00675165340507, (15.0, 6.0): 0.0078181043257, (18.0, 18.0): 0.00961058257564, (8.0, 4.0): 0.00719512164378, (10.0, 11.0): 0.0069823410911, (13.0, 8.0): 0.00772991412214, (10.0, 6.0): 0.00800678302587, (15.0, 22.0): 0.00558378719934, (12.0, 5.0): 0.00792621310433, (17.0, 3.0): 0.00719512164378, (15.0, 8.0): 0.00781234732824, (21.0, 16.0): 0.00554537874742, (18.0, 8.0): 0.00678675004859, (15.0, 5.0): 0.00800461508694, (18.0, 23.0): 0.007462756584, (16.0, 15.0): 0.00812717116148, (12.0, 10.0): 0.00820690277778, (15.0, 15.0): 0.00555568644698, (13.0, 11.0): 0.00671299683259, (18.0, 13.0): 0.00680819784435, (18.0, 24.0): 0.00771481204973, (8.0, 11.0): 0.00549276545435, (9.0, 10.0): 0.00880039168473, (19.0, 20.0): 0.00770519204144, (17.0, 4.0): 0.00880039168473, (14.0, 11.0): 0.00672164418999, (18.0, 3.0): 0.00549276545435, (17.0, 9.0): 0.00844235926014, (18.0, 14.0): 0.00705765284519, (8.0, 8.0): 0.00681995122249, (9.0, 5.0): 0.00850400872768, (11.0, 6.0): 0.0078181043257, }, ]
+8 Stop [{(16.0, 6.0): 0.00805481392423, (11.0, 11.0): 0.00679285621515, (17.0, 7.0): 0.00823366853751, (16.0, 9.0): 0.00820426562942, (14.0, 4.0): 0.00820794964902, (13.0, 4.0): 0.00818121042793, (20.0, 20.0): 0.00806727214448, (18.0, 4.0): 0.00713536583878, (18.0, 19.0): 0.00719105675286, (8.0, 5.0): 0.00695031054062, (10.0, 8.0): 0.0080562024818, (11.0, 5.0): 0.00805071468759, (10.0, 7.0): 0.00799108935804, (16.0, 3.0): 0.00694880342455, (12.0, 6.0): 0.00778175737913, (16.0, 22.0): 0.00811316594965, (13.0, 7.0): 0.0077032389313, (18.0, 9.0): 0.00693917439121, (15.0, 4.0): 0.00830627148412, (1, 1): 0.00763358778626, (15.0, 18.0): 0.0054956843189, (9.0, 3.0): 0.00713536583878, (19.0, 24.0): 0.00807298415756, (12.0, 11.0): 0.00670737053574, (13.0, 10.0): 0.00817783230028, (18.0, 10.0): 0.00724753128712, (17.0, 18.0): 0.00767388270229, (9.0, 9.0): 0.00850832884678, (16.0, 18.0): 0.00805650427977, (11.0, 8.0): 0.00786690888465, (14.0, 8.0): 0.00777968597328, (21.0, 24.0): 0.0056687711826, (20.0, 16.0): 0.00803111594537, (17.0, 8.0): 0.00828048294878, (18.0, 15.0): 0.0097834143374, (8.0, 9.0): 0.00695031054062, (9.0, 4.0): 0.00875921822243, (10.0, 3.0): 0.00694880342455, (16.0, 7.0): 0.00798473830577, (11.0, 10.0): 0.00830627148412, (17.0, 6.0): 0.00831078981268, (16.0, 10.0): 0.00845982119712, (14.0, 5.0): 0.00795821804495, (13.0, 3.0): 0.00668510946269, (18.0, 5.0): 0.00694932693759, (17.0, 11.0): 0.00724737598138, (18.0, 16.0): 0.00978541687391, (8.0, 6.0): 0.00680277651484, (10.0, 9.0): 0.0082452567, (9.0, 7.0): 0.0082485867404, (11.0, 4.0): 0.00830627148412, (10.0, 4.0): 0.00850736911197, (16.0, 4.0): 0.00850736911197, (12.0, 7.0): 0.00772309198473, (11.0, 9.0): 0.00805071468759, (15.0, 10.0): 0.00827258649257, (14.0, 6.0): 0.00778175737913, (13.0, 6.0): 0.00776068788168, (18.0, 6.0): 0.00679749975311, (17.0, 22.0): 0.00778734664809, (15.0, 7.0): 0.00780488524173, (18.0, 21.0): 0.00728558234589, (8.0, 3.0): 0.00542848264001, (10.0, 10.0): 0.00850736911197, (11.0, 3.0): 0.00679301152089, (12.0, 4.0): 0.00820794964902, (15.0, 9.0): 0.00802803800626, (14.0, 3.0): 0.00670835413876, (13.0, 9.0): 0.00793445131997, (12.0, 8.0): 0.00778175737913, (18.0, 11.0): 0.00771555467352, (18.0, 22.0): 0.00995212631719, (9.0, 8.0): 0.00831416794033, (14.0, 9.0): 0.00795186699268, (12.0, 9.0): 0.00795821804495, (17.0, 15.0): 0.00771619987377, (21.0, 20.0): 0.00549887479734, (18.0, 12.0): 0.00634954647124, (15.0, 11.0): 0.00676383356791, (8.0, 10.0): 0.00713552114452, (9.0, 11.0): 0.00713536583878, (12.0, 3.0): 0.00670835413876, (17.0, 5.0): 0.00850770498983, (16.0, 11.0): 0.00693766727514, (14.0, 10.0): 0.00819303144614, (17.0, 10.0): 0.00876387187799, (15.0, 3.0): 0.00679301152089, (18.0, 17.0): 0.00719555294993, (8.0, 7.0): 0.00674842518208, (9.0, 6.0): 0.00831416794033, (11.0, 7.0): 0.00780695664758, (10.0, 5.0): 0.0082452567, (16.0, 5.0): 0.0082452567, (20.0, 24.0): 0.00836340291085, (19.0, 16.0): 0.00768214714072, (16.0, 8.0): 0.00803352580047, (14.0, 7.0): 0.00772309198473, (13.0, 5.0): 0.00793583987754, (18.0, 20.0): 0.00975926769051, (18.0, 7.0): 0.00673339070466, (15.0, 6.0): 0.00786690888465, (18.0, 18.0): 0.0097040146373, (8.0, 4.0): 0.00713552114452, (10.0, 11.0): 0.00694880342455, (13.0, 8.0): 0.00776068788168, (10.0, 6.0): 0.0080562024818, (15.0, 22.0): 0.00551715869298, (12.0, 5.0): 0.00795821804495, (17.0, 3.0): 0.00713536583878, (15.0, 8.0): 0.00785905795165, (21.0, 16.0): 0.0054722158958, (18.0, 8.0): 0.00677359856186, (15.0, 5.0): 0.00805071468759, (18.0, 23.0): 0.00752526384268, (16.0, 15.0): 0.00806043357893, (12.0, 10.0): 0.00820732579207, (15.0, 15.0): 0.00548690027732, (13.0, 11.0): 0.00667983270096, (18.0, 13.0): 0.00676012627723, (18.0, 24.0): 0.00775382127283, (8.0, 11.0): 0.00542848264001, (9.0, 10.0): 0.00875921822243, (19.0, 20.0): 0.00769831747222, (17.0, 4.0): 0.00875921822243, (14.0, 11.0): 0.00669331966135, (18.0, 3.0): 0.00542848264001, (17.0, 9.0): 0.00846078093193, (18.0, 14.0): 0.00705555974817, (8.0, 8.0): 0.00680277651484, (9.0, 5.0): 0.00850832884678, (11.0, 6.0): 0.00786690888465, }, ]
+9 Stop [{(16.0, 6.0): 0.00809250152547, (11.0, 11.0): 0.00677351184068, (17.0, 7.0): 0.00824528359711, (16.0, 9.0): 0.00823728631304, (14.0, 4.0): 0.0082078184559, (13.0, 4.0): 0.00817786728638, (20.0, 20.0): 0.00800463393757, (18.0, 4.0): 0.00708251105192, (18.0, 19.0): 0.00726283949957, (8.0, 5.0): 0.00692381781935, (10.0, 8.0): 0.00809472507296, (11.0, 5.0): 0.00808547396026, (10.0, 7.0): 0.00803180754192, (16.0, 3.0): 0.00692076901845, (12.0, 6.0): 0.00781813283503, (16.0, 22.0): 0.0080587502124, (13.0, 7.0): 0.00773415973282, (18.0, 9.0): 0.00693223224643, (15.0, 4.0): 0.00831271386676, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00543334358604, (9.0, 3.0): 0.00708238017366, (19.0, 24.0): 0.00806340278041, (12.0, 11.0): 0.00668648002137, (13.0, 10.0): 0.00817248634693, (18.0, 10.0): 0.00722833946356, (17.0, 18.0): 0.00766946598668, (9.0, 9.0): 0.00850297197706, (16.0, 18.0): 0.0079913044868, (11.0, 8.0): 0.00791250801615, (14.0, 8.0): 0.00781487815681, (21.0, 24.0): 0.00562218656158, (20.0, 16.0): 0.00797386230993, (17.0, 8.0): 0.0082950912842, (18.0, 15.0): 0.00981612767681, (8.0, 9.0): 0.00692381781935, (9.0, 4.0): 0.00872270498206, (10.0, 3.0): 0.00692076901845, (16.0, 7.0): 0.00802232636194, (11.0, 10.0): 0.00831255026894, (17.0, 6.0): 0.00832077039113, (16.0, 10.0): 0.00847452585821, (14.0, 5.0): 0.00798689592765, (13.0, 3.0): 0.00666169652064, (18.0, 5.0): 0.00692208913034, (17.0, 11.0): 0.00722792385811, (18.0, 16.0): 0.00985144116638, (8.0, 6.0): 0.00678821164745, (10.0, 9.0): 0.00827357436563, (9.0, 7.0): 0.00826070869134, (11.0, 4.0): 0.00831271386676, (10.0, 4.0): 0.00850082395984, (16.0, 4.0): 0.00850082395984, (12.0, 7.0): 0.00775936046438, (11.0, 9.0): 0.00808547396026, (15.0, 10.0): 0.00828165382039, (14.0, 6.0): 0.00781813283503, (13.0, 6.0): 0.00779265628976, (18.0, 6.0): 0.00678221231138, (17.0, 22.0): 0.00778820244521, (15.0, 7.0): 0.00784773647371, (18.0, 21.0): 0.00735637595056, (8.0, 3.0): 0.00537721595916, (10.0, 10.0): 0.00850082395984, (11.0, 3.0): 0.00677379656788, (12.0, 4.0): 0.0082078184559, (15.0, 9.0): 0.00806316301452, (14.0, 3.0): 0.00668820871039, (13.0, 9.0): 0.00795661130791, (12.0, 8.0): 0.00781813283503, (18.0, 11.0): 0.00766913097592, (18.0, 22.0): 0.0100207625249, (9.0, 8.0): 0.00832615133057, (14.0, 9.0): 0.00797741474767, (12.0, 9.0): 0.00798649344474, (17.0, 15.0): 0.00770473140191, (21.0, 20.0): 0.0054385281135, (18.0, 12.0): 0.00629877958454, (15.0, 11.0): 0.00675322242461, (8.0, 10.0): 0.00708279577911, (9.0, 11.0): 0.00708238017366, (12.0, 3.0): 0.00668820871039, (17.0, 5.0): 0.00850192567939, (16.0, 11.0): 0.00692918344553, (14.0, 10.0): 0.00819239336167, (17.0, 10.0): 0.00876062161854, (15.0, 3.0): 0.00677379656788, (18.0, 17.0): 0.00727087552778, (8.0, 7.0): 0.00673821190102, (9.0, 6.0): 0.00832615133057, (11.0, 7.0): 0.00785099115193, (10.0, 5.0): 0.00827357436563, (16.0, 5.0): 0.00827317188273, (20.0, 24.0): 0.00831318128077, (19.0, 16.0): 0.00768410858051, (16.0, 8.0): 0.00807241412722, (14.0, 7.0): 0.00775853190204, (13.0, 5.0): 0.00795883485541, (18.0, 20.0): 0.00983146911295, (18.0, 7.0): 0.00672285596241, (15.0, 6.0): 0.00791181602347, (18.0, 18.0): 0.00977950112769, (8.0, 4.0): 0.00708279577911, (10.0, 11.0): 0.00692073019202, (13.0, 8.0): 0.00779196429707, (10.0, 6.0): 0.00809472507296, (15.0, 22.0): 0.00546296799637, (12.0, 5.0): 0.00798689592765, (17.0, 3.0): 0.00708238017366, (15.0, 8.0): 0.00790103859468, (21.0, 16.0): 0.00541314659636, (18.0, 8.0): 0.00676763750419, (15.0, 5.0): 0.00808547396026, (18.0, 23.0): 0.00758105995114, (16.0, 15.0): 0.00800232795622, (12.0, 10.0): 0.00820677215822, (15.0, 15.0): 0.00543026133163, (13.0, 11.0): 0.00665569718457, (18.0, 13.0): 0.00672174416555, (18.0, 24.0): 0.00778402309102, (8.0, 11.0): 0.00537721595916, (9.0, 10.0): 0.00872270498206, (19.0, 20.0): 0.00769501346153, (17.0, 4.0): 0.00872254138424, (14.0, 11.0): 0.00667285277178, (18.0, 3.0): 0.00537717713273, (17.0, 9.0): 0.00847667387543, (18.0, 14.0): 0.00705108225948, (8.0, 8.0): 0.00678821164745, (9.0, 5.0): 0.00850297197706, (11.0, 6.0): 0.00791250801615, }, ]
+10 Stop [{(16.0, 6.0): 0.00812411723695, (11.0, 11.0): 0.00675769056731, (17.0, 7.0): 0.00825740831748, (16.0, 9.0): 0.00826481263768, (14.0, 4.0): 0.00820911128493, (13.0, 4.0): 0.00817589194088, (20.0, 20.0): 0.00795247985645, (18.0, 4.0): 0.00703805069999, (18.0, 19.0): 0.00732368906002, (8.0, 5.0): 0.00689930070689, (10.0, 8.0): 0.00812775326545, (11.0, 5.0): 0.00811423322729, (10.0, 7.0): 0.00806659150622, (16.0, 3.0): 0.00689440123196, (12.0, 6.0): 0.00785391070659, (16.0, 22.0): 0.00801380155073, (13.0, 7.0): 0.00776733453721, (18.0, 9.0): 0.00692738707863, (15.0, 4.0): 0.00831481519052, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00538043995529, (9.0, 3.0): 0.00703773361416, (19.0, 24.0): 0.0080535357174, (12.0, 11.0): 0.0066702766933, (13.0, 10.0): 0.00816957693109, (18.0, 10.0): 0.00720954999519, (17.0, 18.0): 0.00766513210642, (9.0, 9.0): 0.0084960349859, (16.0, 18.0): 0.00793692861751, (11.0, 8.0): 0.00795236620727, (14.0, 8.0): 0.00784876553965, (21.0, 24.0): 0.00558215370771, (20.0, 16.0): 0.00792589692832, (17.0, 8.0): 0.00830980195284, (18.0, 15.0): 0.0098354967646, (8.0, 9.0): 0.00689930070689, (9.0, 4.0): 0.00868659417198, (10.0, 3.0): 0.00689440123196, (16.0, 7.0): 0.00805605241709, (11.0, 10.0): 0.00831450202962, (17.0, 6.0): 0.00832764931646, (16.0, 10.0): 0.00848311338342, (14.0, 5.0): 0.00801143120685, (13.0, 3.0): 0.00664510194263, (18.0, 5.0): 0.00689708825928, (17.0, 11.0): 0.0072086838936, (18.0, 16.0): 0.00990188691356, (8.0, 6.0): 0.00677779060807, (10.0, 9.0): 0.00829151386715, (9.0, 7.0): 0.00827351675414, (11.0, 4.0): 0.00831481519052, (10.0, 4.0): 0.00849215568947, (16.0, 4.0): 0.00849204247333, (12.0, 7.0): 0.00779615540384, (11.0, 9.0): 0.00811412001115, (15.0, 10.0): 0.00829065281711, (14.0, 6.0): 0.00785360659559, (13.0, 6.0): 0.00782438330961, (18.0, 6.0): 0.00677094342926, (17.0, 22.0): 0.00778750818375, (15.0, 7.0): 0.00788828987117, (18.0, 21.0): 0.0074151832263, (8.0, 3.0): 0.00533369930791, (10.0, 10.0): 0.0084921132633, (11.0, 3.0): 0.00675823634753, (12.0, 4.0): 0.00820911128493, (15.0, 9.0): 0.00809211129806, (14.0, 3.0): 0.00667248914091, (13.0, 9.0): 0.00797699402887, (12.0, 8.0): 0.00785369181148, (18.0, 11.0): 0.00763094176924, (18.0, 22.0): 0.0100804034135, (9.0, 8.0): 0.00833396432625, (14.0, 9.0): 0.00800089211772, (12.0, 9.0): 0.00801069674123, (17.0, 15.0): 0.00768971837191, (21.0, 20.0): 0.00538747536927, (18.0, 12.0): 0.00625745732734, (15.0, 11.0): 0.00674514542456, (8.0, 10.0): 0.00703859971575, (9.0, 11.0): 0.00703772390755, (12.0, 3.0): 0.00667248914091, (17.0, 5.0): 0.00849420415008, (16.0, 11.0): 0.0069224876037, (14.0, 10.0): 0.00819300284828, (17.0, 10.0): 0.00875643010085, (15.0, 3.0): 0.00675823634753, (18.0, 17.0): 0.00733136074944, (8.0, 7.0): 0.00673080053725, (9.0, 6.0): 0.00833396432625, (11.0, 7.0): 0.00789343503811, (10.0, 5.0): 0.00829151386715, (16.0, 5.0): 0.00829077940154, (20.0, 24.0): 0.00826995463452, (19.0, 16.0): 0.00768218392174, (16.0, 8.0): 0.00810563133622, (14.0, 7.0): 0.00779468782008, (13.0, 5.0): 0.00798063005737, (18.0, 20.0): 0.00989594358212, (18.0, 7.0): 0.00671723316392, (15.0, 6.0): 0.00795113216359, (18.0, 18.0): 0.00984593561993, (8.0, 4.0): 0.00703859971575, (10.0, 11.0): 0.00689432034356, (13.0, 8.0): 0.00782314926593, (10.0, 6.0): 0.00812775326545, (15.0, 22.0): 0.00541773406899, (12.0, 5.0): 0.00801143120685, (17.0, 3.0): 0.00703768795245, (15.0, 8.0): 0.00793984607338, (21.0, 16.0): 0.00536452740149, (18.0, 8.0): 0.0067646996851, (15.0, 5.0): 0.00811401433217, (18.0, 23.0): 0.0076268849786, (16.0, 15.0): 0.00795081711853, (12.0, 10.0): 0.00820728044911, (15.0, 15.0): 0.00538257331789, (13.0, 11.0): 0.00663825476382, (18.0, 13.0): 0.00669053533652, (18.0, 24.0): 0.00780949527419, (8.0, 11.0): 0.00533369930791, (9.0, 10.0): 0.00868659417198, (19.0, 20.0): 0.00769108307794, (17.0, 4.0): 0.00868628101109, (14.0, 11.0): 0.00665892176757, (18.0, 3.0): 0.00533361518397, (17.0, 9.0): 0.00848699267985, (18.0, 14.0): 0.00704497406088, (8.0, 8.0): 0.00677779060807, (9.0, 5.0): 0.0084960349859, (11.0, 6.0): 0.00795236620727, }, ]
+11 Stop [{(16.0, 6.0): 0.00814994610712, (11.0, 11.0): 0.00674347230697, (17.0, 7.0): 0.00826949069175, (16.0, 9.0): 0.00828653226704, (14.0, 4.0): 0.00821037220986, (13.0, 4.0): 0.00817622439928, (20.0, 20.0): 0.00790825866276, (18.0, 4.0): 0.00699891267002, (18.0, 19.0): 0.00737669948719, (8.0, 5.0): 0.00687812975486, (10.0, 8.0): 0.00815443783447, (11.0, 5.0): 0.00813687193982, (10.0, 7.0): 0.00809780996587, (16.0, 3.0): 0.00687098987765, (12.0, 6.0): 0.00788764936683, (16.0, 22.0): 0.00797597027932, (13.0, 7.0): 0.00780114206733, (18.0, 9.0): 0.0069228077257, (15.0, 4.0): 0.00831555574307, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00533586285015, (9.0, 3.0): 0.00699825231523, (19.0, 24.0): 0.00804432854204, (12.0, 11.0): 0.00665801159593, (13.0, 10.0): 0.00816893454242, (18.0, 10.0): 0.00719325573094, (17.0, 18.0): 0.00766217081296, (9.0, 9.0): 0.00848644664698, (16.0, 18.0): 0.00789090688562, (11.0, 8.0): 0.00798827326669, (14.0, 8.0): 0.00788146816335, (21.0, 24.0): 0.0055477283987, (20.0, 16.0): 0.00788495731743, (17.0, 8.0): 0.00832314177855, (18.0, 15.0): 0.0098459100638, (8.0, 9.0): 0.00687812975486, (9.0, 4.0): 0.00865404030195, (10.0, 3.0): 0.00687102393631, (16.0, 7.0): 0.00808629983578, (11.0, 10.0): 0.00831502579246, (17.0, 6.0): 0.00833341166151, (16.0, 10.0): 0.00848962368874, (14.0, 5.0): 0.00803375869538, (13.0, 3.0): 0.00663269844429, (18.0, 5.0): 0.00687536142715, (17.0, 11.0): 0.00719181433681, (18.0, 16.0): 0.00993886080993, (8.0, 6.0): 0.0067687658283, (10.0, 9.0): 0.00830430707859, (9.0, 7.0): 0.00828430751688, (11.0, 4.0): 0.00831562216533, (10.0, 4.0): 0.00848061609182, (16.0, 4.0): 0.00848038392329, (12.0, 7.0): 0.00783290549945, (11.0, 9.0): 0.00813663977128, (15.0, 10.0): 0.00829806242551, (14.0, 6.0): 0.00788704821914, (13.0, 6.0): 0.00785597304127, (18.0, 6.0): 0.00676184607641, (17.0, 22.0): 0.0077872040982, (15.0, 7.0): 0.00792600166906, (18.0, 21.0): 0.00746581449101, (8.0, 3.0): 0.00529698310178, (10.0, 10.0): 0.0084805247523, (11.0, 3.0): 0.0067442447182, (12.0, 4.0): 0.00821037220986, (15.0, 9.0): 0.00811766298879, (14.0, 3.0): 0.00666077911475, (13.0, 9.0): 0.00799626181697, (12.0, 8.0): 0.00788721188595, (18.0, 11.0): 0.00759811302362, (18.0, 22.0): 0.0101299596496, (9.0, 8.0): 0.00834070151837, (14.0, 9.0): 0.00802235316651, (12.0, 9.0): 0.00803255660837, (17.0, 15.0): 0.0076723860213, (21.0, 20.0): 0.00534456430345, (18.0, 12.0): 0.00622373299693, (15.0, 11.0): 0.00673976926238, (8.0, 10.0): 0.00699969370936, (9.0, 11.0): 0.00699822966648, (12.0, 3.0): 0.00666077911475, (17.0, 5.0): 0.00848405484065, (16.0, 11.0): 0.00691570190715, (14.0, 10.0): 0.00819555538473, (17.0, 10.0): 0.00874986570502, (15.0, 3.0): 0.0067442447182, (18.0, 17.0): 0.00738074254985, (8.0, 7.0): 0.00672629878917, (9.0, 6.0): 0.00834070151837, (11.0, 7.0): 0.00793218287254, (10.0, 5.0): 0.00830433820705, (16.0, 5.0): 0.00830303151881, (20.0, 24.0): 0.0082322403045, (19.0, 16.0): 0.00767816534508, (16.0, 8.0): 0.00813522888344, (14.0, 7.0): 0.00783053687274, (13.0, 5.0): 0.00800075354431, (18.0, 20.0): 0.00995063768362, (18.0, 7.0): 0.00671470073306, (15.0, 6.0): 0.00798623203989, (18.0, 18.0): 0.00990154454361, (8.0, 4.0): 0.00699969370936, (10.0, 11.0): 0.00687085635726, (13.0, 8.0): 0.00785398703663, (10.0, 6.0): 0.00815443783447, (15.0, 22.0): 0.00538013421807, (12.0, 5.0): 0.00803386329661, (17.0, 3.0): 0.00699815022631, (15.0, 8.0): 0.0079749288237, (21.0, 16.0): 0.00532422934352, (18.0, 8.0): 0.00676429037248, (15.0, 5.0): 0.00813643445893, (18.0, 23.0): 0.00766556093764, (16.0, 15.0): 0.00790479848909, (12.0, 10.0): 0.00820798040354, (15.0, 15.0): 0.00534155903179, (13.0, 11.0): 0.00662577869239, (18.0, 13.0): 0.00666432224158, (18.0, 24.0): 0.00782997199006, (8.0, 11.0): 0.00529698067513, (9.0, 10.0): 0.00865402939006, (19.0, 20.0): 0.00768850687366, (17.0, 4.0): 0.00865344019001, (14.0, 11.0): 0.00664918105864, (18.0, 3.0): 0.0052968063911, (17.0, 9.0): 0.0084954542439, (18.0, 14.0): 0.00703737732362, (8.0, 8.0): 0.0067687658283, (9.0, 5.0): 0.00848644664698, (11.0, 6.0): 0.00798833968894, }, ]
+12 Stop [{(16.0, 6.0): 0.00817178423262, (11.0, 11.0): 0.00673109022353, (17.0, 7.0): 0.00828114397678, (16.0, 9.0): 0.00830490041438, (14.0, 4.0): 0.00821237698821, (13.0, 4.0): 0.00817771908373, (20.0, 20.0): 0.0078712039972, (18.0, 4.0): 0.00696485869266, (18.0, 19.0): 0.00742194538587, (8.0, 5.0): 0.00685893665253, (10.0, 8.0): 0.0081771059328, (11.0, 5.0): 0.00815580705955, (10.0, 7.0): 0.00812463520485, (16.0, 3.0): 0.0068494229902, (12.0, 6.0): 0.00791974617862, (16.0, 22.0): 0.00794445856821, (13.0, 7.0): 0.00783490890348, (18.0, 9.0): 0.00691917930606, (15.0, 4.0): 0.00831461044658, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00529823372028, (9.0, 3.0): 0.0069637881572, (19.0, 24.0): 0.0080355136122, (12.0, 11.0): 0.00664841172953, (13.0, 10.0): 0.00817019110263, (18.0, 10.0): 0.00717851726107, (17.0, 18.0): 0.00765974536876, (9.0, 9.0): 0.00847662936551, (16.0, 18.0): 0.00785229065793, (11.0, 8.0): 0.00801974912619, (14.0, 8.0): 0.00791265481259, (21.0, 24.0): 0.00551794430085, (20.0, 16.0): 0.00784982222593, (17.0, 8.0): 0.00833573571265, (18.0, 15.0): 0.00984944716674, (8.0, 9.0): 0.00685893665253, (9.0, 4.0): 0.0086237071143, (10.0, 3.0): 0.0068495034608, (16.0, 7.0): 0.00811339343743, (11.0, 10.0): 0.00831390222066, (17.0, 6.0): 0.00833784217931, (16.0, 10.0): 0.00849374229405, (14.0, 5.0): 0.00805367342553, (13.0, 3.0): 0.0066238090483, (18.0, 5.0): 0.00685584101153, (17.0, 11.0): 0.0071763804579, (18.0, 16.0): 0.00996582868341, (8.0, 6.0): 0.00676143889676, (10.0, 9.0): 0.00831247121672, (9.0, 7.0): 0.00829427880119, (11.0, 4.0): 0.00831475766092, (10.0, 4.0): 0.00846867933731, (16.0, 4.0): 0.00846822974445, (12.0, 7.0): 0.00786821833842, (11.0, 9.0): 0.00815536050348, (15.0, 10.0): 0.00830512321315, (14.0, 6.0): 0.00791870977369, (13.0, 6.0): 0.00788651324778, (18.0, 6.0): 0.00675465939146, (17.0, 22.0): 0.00778688137157, (15.0, 7.0): 0.00796079984823, (18.0, 21.0): 0.00750875416364, (8.0, 3.0): 0.00526514754008, (10.0, 10.0): 0.008468491492, (11.0, 3.0): 0.00673213637538, (12.0, 4.0): 0.0082124111929, (15.0, 9.0): 0.00813990793431, (14.0, 3.0): 0.00665150501128, (13.0, 9.0): 0.00801481863418, (12.0, 8.0): 0.00791898685942, (18.0, 11.0): 0.00757037343849, (18.0, 22.0): 0.0101720164214, (9.0, 8.0): 0.00834537016042, (14.0, 9.0): 0.00804266030407, (12.0, 9.0): 0.00805213009722, (17.0, 15.0): 0.00765387235275, (21.0, 20.0): 0.00530836837265, (18.0, 12.0): 0.00619554666874, (15.0, 11.0): 0.00673577554215, (8.0, 10.0): 0.00696592196911, (9.0, 11.0): 0.00696373760899, (12.0, 3.0): 0.00665150501128, (17.0, 5.0): 0.00847362799898, (16.0, 11.0): 0.00690974611433, (14.0, 10.0): 0.0081992763685, (17.0, 10.0): 0.00874325624447, (15.0, 3.0): 0.00673211457627, (18.0, 17.0): 0.007420348855, (8.0, 7.0): 0.00672281911482, (9.0, 6.0): 0.00834537016042, (11.0, 7.0): 0.0079679022587, (10.0, 5.0): 0.00831254214403, (16.0, 5.0): 0.00831077016976, (20.0, 24.0): 0.00819938714819, (19.0, 16.0): 0.00767242275665, (16.0, 8.0): 0.0081612263177, (14.0, 7.0): 0.00786523939833, (13.0, 5.0): 0.00802011459537, (18.0, 20.0): 0.00999799970486, (18.0, 7.0): 0.00671410743384, (15.0, 6.0): 0.00801713249883, (18.0, 18.0): 0.00994859041923, (8.0, 4.0): 0.00696592496037, (10.0, 11.0): 0.00684924453314, (13.0, 8.0): 0.00788401419405, (10.0, 6.0): 0.00817712544294, (15.0, 22.0): 0.00534872386881, (12.0, 5.0): 0.00805390207149, (17.0, 3.0): 0.00696357519436, (15.0, 8.0): 0.00800705810567, (21.0, 16.0): 0.00529043377757, (18.0, 8.0): 0.00676507806352, (15.0, 5.0): 0.00815500249122, (18.0, 23.0): 0.00769766755497, (16.0, 15.0): 0.00786317435269, (12.0, 10.0): 0.00820940236834, (15.0, 15.0): 0.00530571234559, (13.0, 11.0): 0.00661702974523, (18.0, 13.0): 0.00664181085404, (18.0, 24.0): 0.00784662048991, (8.0, 11.0): 0.005265141069, (9.0, 10.0): 0.00862368100183, (19.0, 20.0): 0.00768658126638, (17.0, 4.0): 0.00862284151487, (14.0, 11.0): 0.0066427933303, (18.0, 3.0): 0.00526486785445, (17.0, 9.0): 0.00850170073033, (18.0, 14.0): 0.00702871070435, (8.0, 8.0): 0.00676143889676, (9.0, 5.0): 0.00847663777358, (11.0, 6.0): 0.00801989634052, }, ]
+13 Stop [{(16.0, 6.0): 0.00819018450359, (11.0, 11.0): 0.00671996706568, (17.0, 7.0): 0.00829214991969, (16.0, 9.0): 0.00832029553816, (14.0, 4.0): 0.00821455224163, (13.0, 4.0): 0.00818047663412, (20.0, 20.0): 0.00784011260752, (18.0, 4.0): 0.0069346991805, (18.0, 19.0): 0.00746062932631, (8.0, 5.0): 0.00684190268213, (10.0, 8.0): 0.00819586632819, (11.0, 5.0): 0.0081713810553, (10.0, 7.0): 0.00814820952809, (16.0, 3.0): 0.0068299241391, (12.0, 6.0): 0.00794965523536, (16.0, 22.0): 0.00791814191433, (13.0, 7.0): 0.00786777881641, (18.0, 9.0): 0.00691603380373, (15.0, 4.0): 0.00831307257816, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00526654707945, (9.0, 3.0): 0.00693311350738, (19.0, 24.0): 0.0080271737501, (12.0, 11.0): 0.00664101339824, (13.0, 10.0): 0.00817299513104, (18.0, 10.0): 0.0071656687503, (17.0, 18.0): 0.00765782628037, (9.0, 9.0): 0.00846636451203, (16.0, 18.0): 0.00781979553571, (11.0, 8.0): 0.00804782093611, (14.0, 8.0): 0.00794232536294, (21.0, 24.0): 0.00549210119982, (20.0, 16.0): 0.00781929854965, (17.0, 8.0): 0.00834723086337, (18.0, 15.0): 0.0098480133149, (8.0, 9.0): 0.0068419002527, (9.0, 4.0): 0.00859623312443, (10.0, 3.0): 0.00683009286581, (16.0, 7.0): 0.00813766956256, (11.0, 10.0): 0.00831220387278, (17.0, 6.0): 0.0083415445254, (16.0, 10.0): 0.00849684096179, (14.0, 5.0): 0.0080719754548, (13.0, 3.0): 0.00661724858446, (18.0, 5.0): 0.00683856537371, (17.0, 11.0): 0.00716277625157, (18.0, 16.0): 0.00998474283309, (8.0, 6.0): 0.00675487269811, (10.0, 9.0): 0.0083180117021, (9.0, 7.0): 0.00830263564408, (11.0, 4.0): 0.00831336514398, (10.0, 4.0): 0.00845631311651, (16.0, 4.0): 0.00845564612268, (12.0, 7.0): 0.00790195250773, (11.0, 9.0): 0.00817072263285, (15.0, 10.0): 0.00831155384754, (14.0, 6.0): 0.00794825366883, (13.0, 6.0): 0.00791599853979, (18.0, 6.0): 0.00674872039507, (17.0, 22.0): 0.00778678408527, (15.0, 7.0): 0.0079927246577, (18.0, 21.0): 0.0075454220861, (8.0, 3.0): 0.00523747745942, (10.0, 10.0): 0.00845602031953, (11.0, 3.0): 0.00672123774405, (12.0, 4.0): 0.00821463425463, (15.0, 9.0): 0.00815992999432, (14.0, 3.0): 0.00664433255661, (13.0, 9.0): 0.00803276286643, (12.0, 8.0): 0.00794861972306, (18.0, 11.0): 0.00754650001228, (18.0, 22.0): 0.0102074384687, (9.0, 8.0): 0.00834903657617, (14.0, 9.0): 0.00806186361073, (12.0, 9.0): 0.00807013969253, (17.0, 15.0): 0.0076347106935, (21.0, 20.0): 0.00527791885206, (18.0, 12.0): 0.00617171253388, (15.0, 11.0): 0.00673310338932, (8.0, 10.0): 0.00693599787878, (9.0, 11.0): 0.0069330287589, (12.0, 3.0): 0.00664434484732, (17.0, 5.0): 0.00846297662547, (16.0, 11.0): 0.0069042239874, (14.0, 10.0): 0.00820414853024, (17.0, 10.0): 0.00873646428351, (15.0, 3.0): 0.00672118273375, (18.0, 17.0): 0.007452054394, (8.0, 7.0): 0.00672027998732, (9.0, 6.0): 0.00834904215982, (11.0, 7.0): 0.00800008025373, (10.0, 5.0): 0.00831815835148, (16.0, 5.0): 0.00831588292741, (20.0, 24.0): 0.00817060573722, (19.0, 16.0): 0.00766553883171, (16.0, 8.0): 0.00818446279757, (14.0, 7.0): 0.00789846254726, (13.0, 5.0): 0.00803838448478, (18.0, 20.0): 0.0100385935315, (18.0, 7.0): 0.00671469001756, (15.0, 6.0): 0.00804468576892, (18.0, 18.0): 0.00998782747469, (8.0, 4.0): 0.00693600600611, (10.0, 11.0): 0.00682971638981, (13.0, 8.0): 0.00791307668074, (10.0, 6.0): 0.00819591385855, (15.0, 22.0): 0.00532251479047, (12.0, 5.0): 0.00807239621959, (17.0, 3.0): 0.0069327738006, (15.0, 8.0): 0.0080363294037, (21.0, 16.0): 0.00526182429743, (18.0, 8.0): 0.00676673834338, (15.0, 5.0): 0.00817023780638, (18.0, 23.0): 0.00772443345363, (16.0, 15.0): 0.00782520507461, (12.0, 10.0): 0.00821122809015, (15.0, 15.0): 0.00527391429036, (13.0, 11.0): 0.00661109692179, (18.0, 13.0): 0.00662202274238, (18.0, 24.0): 0.00785993388569, (8.0, 11.0): 0.00523746191753, (9.0, 10.0): 0.00859617526639, (19.0, 20.0): 0.00768542834741, (17.0, 4.0): 0.00859504832342, (14.0, 11.0): 0.00663875492812, (18.0, 3.0): 0.00523706442324, (17.0, 9.0): 0.00850691344688, (18.0, 14.0): 0.00701920231115, (8.0, 8.0): 0.00675487269811, (9.0, 5.0): 0.0084663856016, (11.0, 6.0): 0.00804809545607, }, ]
+14 Stop [{(16.0, 6.0): 0.00820599345758, (11.0, 11.0): 0.00671011498799, (17.0, 7.0): 0.0083023914786, (16.0, 9.0): 0.00833368854774, (14.0, 4.0): 0.00821709852089, (13.0, 4.0): 0.00818392166915, (20.0, 20.0): 0.00781413974434, (18.0, 4.0): 0.00690801394432, (18.0, 19.0): 0.00749348169365, (8.0, 5.0): 0.00682647246691, (10.0, 8.0): 0.00821178901414, (11.0, 5.0): 0.00818467924528, (10.0, 7.0): 0.00816854112253, (16.0, 3.0): 0.0068120993929, (12.0, 6.0): 0.00797761959171, (16.0, 22.0): 0.00789623272844, (13.0, 7.0): 0.00789945381839, (18.0, 9.0): 0.00691349291373, (15.0, 4.0): 0.00831099743321, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00523987205163, (9.0, 3.0): 0.00690587403799, (19.0, 24.0): 0.00801923779101, (12.0, 11.0): 0.00663526496446, (13.0, 10.0): 0.00817700115402, (18.0, 10.0): 0.00715434349828, (17.0, 18.0): 0.0076561641407, (9.0, 9.0): 0.00845639267451, (16.0, 18.0): 0.00779248081175, (11.0, 8.0): 0.00807262197479, (14.0, 8.0): 0.00797041152107, (21.0, 24.0): 0.00546958584565, (20.0, 16.0): 0.00779252460917, (17.0, 8.0): 0.00835783599135, (18.0, 15.0): 0.00984282670521, (8.0, 9.0): 0.0068264656098, (9.0, 4.0): 0.00857106624688, (10.0, 3.0): 0.00681237365261, (16.0, 7.0): 0.00815943828822, (11.0, 10.0): 0.00831002674948, (17.0, 6.0): 0.0083445512136, (16.0, 10.0): 0.00849908692305, (14.0, 5.0): 0.00808868073129, (13.0, 3.0): 0.00661257682392, (18.0, 5.0): 0.00682309156241, (17.0, 11.0): 0.00715066791952, (18.0, 16.0): 0.0099973867789, (8.0, 6.0): 0.00674907227385, (10.0, 9.0): 0.00832139709894, (9.0, 7.0): 0.00830985477846, (11.0, 4.0): 0.0083114481501, (10.0, 4.0): 0.00844433716373, (16.0, 4.0): 0.00844341102511, (12.0, 7.0): 0.00793361730726, (11.0, 9.0): 0.00818377976728, (15.0, 10.0): 0.00831777051411, (14.0, 6.0): 0.00797587519592, (13.0, 6.0): 0.00794401414903, (18.0, 6.0): 0.00674380285166, (17.0, 22.0): 0.00778683495038, (15.0, 7.0): 0.00802197438803, (18.0, 21.0): 0.00757664869543, (8.0, 3.0): 0.00521310569818, (10.0, 10.0): 0.00844391132961, (11.0, 3.0): 0.00671159189309, (12.0, 4.0): 0.00821726066229, (15.0, 9.0): 0.00817799447889, (14.0, 3.0): 0.00663860141703, (13.0, 9.0): 0.00805016759629, (12.0, 8.0): 0.00797632190803, (18.0, 11.0): 0.00752597376483, (18.0, 22.0): 0.0102374061588, (9.0, 8.0): 0.00835149878662, (14.0, 9.0): 0.00808020607293, (12.0, 9.0): 0.008086694601, (17.0, 15.0): 0.00761530858476, (21.0, 20.0): 0.0052523302952, (18.0, 12.0): 0.00615120342849, (15.0, 11.0): 0.00673133134572, (8.0, 10.0): 0.00690953022532, (9.0, 11.0): 0.00690574197963, (12.0, 3.0): 0.00663863464489, (17.0, 5.0): 0.00845273182377, (16.0, 11.0): 0.00689939409943, (14.0, 10.0): 0.00820980095594, (17.0, 10.0): 0.0087301549889, (15.0, 3.0): 0.006711474373, (18.0, 17.0): 0.00747716070828, (8.0, 7.0): 0.0067180334747, (9.0, 6.0): 0.00835151362734, (11.0, 7.0): 0.00802923173635, (10.0, 5.0): 0.00832163039669, (16.0, 5.0): 0.00831898559711, (20.0, 24.0): 0.00814531042902, (19.0, 16.0): 0.00765779816873, (16.0, 8.0): 0.00820519763307, (14.0, 7.0): 0.00792990901063, (13.0, 5.0): 0.00805584626662, (18.0, 20.0): 0.0100734749695, (18.0, 7.0): 0.00671596717294, (15.0, 6.0): 0.00806921728108, (18.0, 18.0): 0.0100204602022, (8.0, 4.0): 0.00690954961675, (10.0, 11.0): 0.0068118821175, (13.0, 8.0): 0.00794091268992, (10.0, 6.0): 0.0082118838708, (15.0, 22.0): 0.00530063803335, (12.0, 5.0): 0.00808929024993, (17.0, 3.0): 0.00690537229069, (15.0, 8.0): 0.00806315444324, (21.0, 16.0): 0.0052373449986, (18.0, 8.0): 0.00676881171384, (15.0, 5.0): 0.00818317090713, (18.0, 23.0): 0.00774664873029, (16.0, 15.0): 0.00779026240122, (12.0, 10.0): 0.00821356670686, (15.0, 15.0): 0.00524535883672, (13.0, 11.0): 0.00660731533824, (18.0, 13.0): 0.00660431252914, (18.0, 24.0): 0.00787051369648, (8.0, 11.0): 0.00521307729859, (9.0, 10.0): 0.00857096867901, (19.0, 20.0): 0.00768482870119, (17.0, 4.0): 0.00856960245959, (14.0, 11.0): 0.00663656851586, (18.0, 3.0): 0.00521255638635, (17.0, 9.0): 0.00851118927732, (18.0, 14.0): 0.00700907834657, (8.0, 8.0): 0.00674907054977, (9.0, 5.0): 0.008456439518, (11.0, 6.0): 0.0080730251718, }, ]
+15 Stop [{(16.0, 6.0): 0.00821963716752, (11.0, 11.0): 0.00670132086738, (17.0, 7.0): 0.00831183518759, (16.0, 9.0): 0.00834543137201, (14.0, 4.0): 0.00821979002517, (13.0, 4.0): 0.00818796962977, (20.0, 20.0): 0.00779248796277, (18.0, 4.0): 0.00688421566405, (18.0, 19.0): 0.00752131102415, (8.0, 5.0): 0.00681256149298, (10.0, 8.0): 0.0082251695994, (11.0, 5.0): 0.00819601464276, (10.0, 7.0): 0.00818626010446, (16.0, 3.0): 0.00679591871917, (12.0, 6.0): 0.00800351329395, (16.0, 22.0): 0.00787800824295, (13.0, 7.0): 0.00792958139504, (18.0, 9.0): 0.00691139988693, (15.0, 4.0): 0.00830880417052, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00521742962973, (9.0, 3.0): 0.00688147707142, (19.0, 24.0): 0.0080116873055, (12.0, 11.0): 0.00663088716404, (13.0, 10.0): 0.00818193611718, (18.0, 10.0): 0.00714448354199, (17.0, 18.0): 0.00765466336804, (9.0, 9.0): 0.00844666785027, (16.0, 18.0): 0.0077694843433, (11.0, 8.0): 0.00809474888012, (14.0, 8.0): 0.00799691874756, (21.0, 24.0): 0.00544989639916, (20.0, 16.0): 0.00776878009193, (17.0, 8.0): 0.00836752580453, (18.0, 15.0): 0.00983484901481, (8.0, 9.0): 0.00681254513113, (9.0, 4.0): 0.00854822449941, (10.0, 3.0): 0.00679632732867, (16.0, 7.0): 0.0081789990491, (11.0, 10.0): 0.00830778565764, (17.0, 6.0): 0.00834708430762, (16.0, 10.0): 0.00850098871962, (14.0, 5.0): 0.00810413432437, (13.0, 3.0): 0.00660923755529, (18.0, 5.0): 0.00680927345435, (17.0, 11.0): 0.00714003994373, (18.0, 16.0): 0.0100050396634, (8.0, 6.0): 0.00674369727933, (10.0, 9.0): 0.0083234539769, (9.0, 7.0): 0.00831579003167, (11.0, 4.0): 0.00830944301755, (10.0, 4.0): 0.00843278980463, (16.0, 4.0): 0.00843162415123, (12.0, 7.0): 0.00796324887235, (11.0, 9.0): 0.0081949040383, (15.0, 10.0): 0.00832376341083, (14.0, 6.0): 0.00800153927359, (13.0, 6.0): 0.00797056180433, (18.0, 6.0): 0.00673962563947, (17.0, 22.0): 0.00778704076598, (15.0, 7.0): 0.00804873868224, (18.0, 21.0): 0.00760326984723, (8.0, 3.0): 0.00519155781308, (10.0, 10.0): 0.00843223130078, (11.0, 3.0): 0.00670293967767, (12.0, 4.0): 0.00822004280752, (15.0, 9.0): 0.00819456281138, (14.0, 3.0): 0.00663408285767, (13.0, 9.0): 0.00806699642283, (12.0, 8.0): 0.0080020336962, (18.0, 11.0): 0.00750814743849, (18.0, 22.0): 0.0102627289984, (9.0, 8.0): 0.00835317468819, (14.0, 9.0): 0.00809771612503, (12.0, 9.0): 0.00810210611589, (17.0, 15.0): 0.00759589700496, (21.0, 20.0): 0.00523087839571, (18.0, 12.0): 0.00613333209375, (15.0, 11.0): 0.00673037759307, (8.0, 10.0): 0.00688588512745, (9.0, 11.0): 0.00688129219295, (12.0, 3.0): 0.00663415297293, (17.0, 5.0): 0.00844294710942, (16.0, 11.0): 0.00689516572578, (14.0, 10.0): 0.00821609786836, (17.0, 10.0): 0.0087243390923, (15.0, 3.0): 0.00670274328237, (18.0, 17.0): 0.00749684864804, (8.0, 7.0): 0.00671601503027, (9.0, 6.0): 0.00835320642738, (11.0, 7.0): 0.00805540746255, (10.0, 5.0): 0.0083237940389, (16.0, 5.0): 0.00832085856214, (20.0, 24.0): 0.00812297566283, (19.0, 16.0): 0.00764945428736, (16.0, 8.0): 0.00822386298073, (14.0, 7.0): 0.00795952478681, (13.0, 5.0): 0.0080723506132, (18.0, 20.0): 0.0101033551058, (18.0, 7.0): 0.00671762373033, (15.0, 6.0): 0.00809124624595, (18.0, 18.0): 0.0100473838981, (8.0, 4.0): 0.00688592066968, (10.0, 11.0): 0.0067957170372, (13.0, 8.0): 0.00796745350674, (10.0, 6.0): 0.00822531883783, (15.0, 22.0): 0.00528239659282, (12.0, 5.0): 0.00810493920317, (17.0, 3.0): 0.00688080720827, (15.0, 8.0): 0.00808774649286, (21.0, 16.0): 0.00521618070235, (18.0, 8.0): 0.0067711351484, (15.0, 5.0): 0.00819421038996, (18.0, 23.0): 0.00776507234863, (16.0, 15.0): 0.00775786974702, (12.0, 10.0): 0.00821627408339, (15.0, 15.0): 0.0052194335521, (13.0, 11.0): 0.00660518743544, (18.0, 13.0): 0.0065881981014, (18.0, 24.0): 0.00787880007259, (8.0, 11.0): 0.0051915104841, (9.0, 10.0): 0.00854807258787, (19.0, 20.0): 0.00768469155754, (17.0, 4.0): 0.00854649562044, (14.0, 11.0): 0.00663576399114, (18.0, 3.0): 0.0051908653542, (17.0, 9.0): 0.00851494698949, (18.0, 14.0): 0.00699850363487, (8.0, 8.0): 0.00674369216589, (9.0, 5.0): 0.00844674807451, (11.0, 6.0): 0.00809528792319, }, ]
+16 Stop [{(16.0, 6.0): 0.00823156506646, (11.0, 11.0): 0.00669353839869, (17.0, 7.0): 0.00832049480235, (16.0, 9.0): 0.00835595857465, (14.0, 4.0): 0.00822266034438, (13.0, 4.0): 0.00819234000395, (20.0, 20.0): 0.00777449903796, (18.0, 4.0): 0.00686295985509, (18.0, 19.0): 0.00754478842569, (8.0, 5.0): 0.0067998944754, (10.0, 8.0): 0.00823656144981, (11.0, 5.0): 0.00820589576511, (10.0, 7.0): 0.00820158920718, (16.0, 3.0): 0.0067811921327, (12.0, 6.0): 0.0080275102194, (16.0, 22.0): 0.00786288129939, (13.0, 7.0): 0.00795807407305, (18.0, 9.0): 0.00690974404223, (15.0, 4.0): 0.00830657156797, (1, 1): 0.00763358778626, (15.0, 18.0): 0.0051985429293, (9.0, 3.0): 0.00685961527093, (19.0, 24.0): 0.00800448768031, (12.0, 11.0): 0.0066276036834, (13.0, 10.0): 0.00818755775721, (18.0, 10.0): 0.00713587553531, (17.0, 18.0): 0.00765322854497, (9.0, 9.0): 0.00843741010343, (16.0, 18.0): 0.00775009738531, (11.0, 8.0): 0.00811445273531, (14.0, 8.0): 0.0080218719318, (21.0, 24.0): 0.00543260675386, (20.0, 16.0): 0.00774750181094, (17.0, 8.0): 0.00837641797957, (18.0, 15.0): 0.00982477238282, (8.0, 9.0): 0.00679986417617, (9.0, 4.0): 0.00852740191099, (10.0, 3.0): 0.00678174398037, (16.0, 7.0): 0.00819661461343, (11.0, 10.0): 0.00830556923287, (17.0, 6.0): 0.0083492071643, (16.0, 10.0): 0.0085026959504, (14.0, 5.0): 0.00811840492526, (13.0, 3.0): 0.00660696227243, (18.0, 5.0): 0.00679686811135, (17.0, 11.0): 0.00713070609546, (18.0, 16.0): 0.0100087398147, (8.0, 6.0): 0.00673870973612, (10.0, 9.0): 0.00832448535313, (9.0, 7.0): 0.00832069000791, (11.0, 4.0): 0.00830739297391, (10.0, 4.0): 0.00842193210427, (16.0, 4.0): 0.00842053618066, (12.0, 7.0): 0.00799075694402, (11.0, 9.0): 0.00820459973377, (15.0, 10.0): 0.00832967696031, (14.0, 6.0): 0.00802540128701, (13.0, 6.0): 0.00799550927602, (18.0, 6.0): 0.00673604756756, (17.0, 22.0): 0.00778736525258, (15.0, 7.0): 0.00807325105139, (18.0, 21.0): 0.00762594430846, (8.0, 3.0): 0.0051723687063, (10.0, 10.0): 0.00842123796394, (11.0, 3.0): 0.00669524359833, (12.0, 4.0): 0.00822301717483, (15.0, 9.0): 0.00820984404242, (14.0, 3.0): 0.00663047392887, (13.0, 9.0): 0.00808324165753, (12.0, 8.0): 0.00802591821426, (18.0, 11.0): 0.0074926117623, (18.0, 22.0): 0.0102841432369, (9.0, 8.0): 0.00835408347538, (14.0, 9.0): 0.00811445839503, (12.0, 9.0): 0.00811646287132, (17.0, 15.0): 0.00757663450436, (21.0, 20.0): 0.00521293518545, (18.0, 12.0): 0.00611754692467, (15.0, 11.0): 0.00673007950966, (8.0, 10.0): 0.00686472557692, (9.0, 11.0): 0.00685937031981, (12.0, 3.0): 0.00663059111298, (17.0, 5.0): 0.00843379548351, (16.0, 11.0): 0.00689159355957, (14.0, 10.0): 0.00822284370207, (17.0, 10.0): 0.00871918583171, (15.0, 3.0): 0.00669494704891, (18.0, 17.0): 0.00751205543971, (8.0, 7.0): 0.00671400912521, (9.0, 6.0): 0.00835413699411, (11.0, 7.0): 0.00807899064853, (10.0, 5.0): 0.00832493307973, (16.0, 5.0): 0.00832185547605, (20.0, 24.0): 0.00810316918903, (19.0, 16.0): 0.0076406713756, (16.0, 8.0): 0.00824071313985, (14.0, 7.0): 0.00798726057705, (13.0, 5.0): 0.00808799111497, (18.0, 20.0): 0.0101289295861, (18.0, 7.0): 0.00671946316707, (15.0, 6.0): 0.00811107435185, (18.0, 18.0): 0.0100694536546, (8.0, 4.0): 0.00686478471157, (10.0, 11.0): 0.00678102878454, (13.0, 8.0): 0.00799259675368, (10.0, 6.0): 0.00823677346635, (15.0, 22.0): 0.00526720104406, (12.0, 5.0): 0.00811937211212, (17.0, 3.0): 0.00685876905735, (15.0, 8.0): 0.00811036594295, (21.0, 16.0): 0.00519768371515, (18.0, 8.0): 0.00677354485232, (15.0, 5.0): 0.00820385073859, (18.0, 23.0): 0.00778030639001, (16.0, 15.0): 0.00772763902671, (12.0, 10.0): 0.00821934218583, (15.0, 15.0): 0.00519567335839, (13.0, 11.0): 0.00660434687109, (18.0, 13.0): 0.00657334461001, (18.0, 24.0): 0.00788518657557, (8.0, 11.0): 0.0051722978248, (9.0, 10.0): 0.00852718867788, (19.0, 20.0): 0.00768489861655, (17.0, 4.0): 0.0085254690943, (14.0, 11.0): 0.00663605182859, (18.0, 3.0): 0.00517154416948, (17.0, 9.0): 0.0085182986234, (18.0, 14.0): 0.00698761283246, (8.0, 8.0): 0.00673869801946, (9.0, 5.0): 0.00843753498128, (11.0, 6.0): 0.00811510843205, }, ]
+17 Stop [{(16.0, 6.0): 0.00824206333442, (11.0, 11.0): 0.00668665656323, (17.0, 7.0): 0.0083284127037, (16.0, 9.0): 0.00836550206614, (14.0, 4.0): 0.00822561385053, (13.0, 4.0): 0.00819694229573, (20.0, 20.0): 0.00775960014423, (18.0, 4.0): 0.00684389886696, (18.0, 19.0): 0.0075645252854, (8.0, 5.0): 0.00678835422703, (10.0, 8.0): 0.00824623444416, (11.0, 5.0): 0.00821454047258, (10.0, 7.0): 0.00821492095596, (16.0, 3.0): 0.00676783429587, (12.0, 6.0): 0.00804965139672, (16.0, 22.0): 0.00785034937268, (13.0, 7.0): 0.00798483952476, (18.0, 9.0): 0.00690845083214, (15.0, 4.0): 0.00830446052855, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00518263725975, (9.0, 3.0): 0.00683994309712, (19.0, 24.0): 0.00799761448164, (12.0, 11.0): 0.00662524067546, (13.0, 10.0): 0.0081936837783, (18.0, 10.0): 0.0071283950013, (17.0, 18.0): 0.00765180539041, (9.0, 9.0): 0.00842859956601, (16.0, 18.0): 0.00773371344141, (11.0, 8.0): 0.00813210455634, (14.0, 8.0): 0.0080453107201, (21.0, 24.0): 0.00541735977327, (20.0, 16.0): 0.00772823291976, (17.0, 8.0): 0.00838457112211, (18.0, 15.0): 0.00981312716165, (8.0, 9.0): 0.00678830396382, (9.0, 4.0): 0.00850847379493, (10.0, 3.0): 0.00676853713326, (16.0, 7.0): 0.0082125277347, (11.0, 10.0): 0.00830353442295, (17.0, 6.0): 0.00835102439522, (16.0, 10.0): 0.00850440185331, (14.0, 5.0): 0.00813166168204, (13.0, 3.0): 0.00660547482936, (18.0, 5.0): 0.0067857279802, (17.0, 11.0): 0.00712256502067, (18.0, 16.0): 0.0100092869878, (8.0, 6.0): 0.006733980733, (10.0, 9.0): 0.00832485892082, (9.0, 7.0): 0.00832460221822, (11.0, 4.0): 0.00830545850321, (10.0, 4.0): 0.00841176800887, (16.0, 4.0): 0.00841018449697, (12.0, 7.0): 0.00801625001985, (11.0, 9.0): 0.00821311398528, (15.0, 10.0): 0.00833553200845, (14.0, 6.0): 0.00804753008344, (13.0, 6.0): 0.00801889719409, (18.0, 6.0): 0.00673293614436, (17.0, 22.0): 0.00778778465988, (15.0, 7.0): 0.00809571330734, (18.0, 21.0): 0.0076452496419, (8.0, 3.0): 0.00515522289773, (10.0, 10.0): 0.0084109534417, (11.0, 3.0): 0.0066883732677, (12.0, 4.0): 0.00822607223121, (15.0, 9.0): 0.00822406078307, (14.0, 3.0): 0.00662762788143, (13.0, 9.0): 0.00809886348696, (12.0, 8.0): 0.00804803750372, (18.0, 11.0): 0.00747898065649, (18.0, 22.0): 0.0103022411262, (9.0, 8.0): 0.00835442351217, (14.0, 9.0): 0.00813045194577, (12.0, 9.0): 0.00812991293254, (17.0, 15.0): 0.00755761760606, (21.0, 20.0): 0.00519796727204, (18.0, 12.0): 0.0061034501188, (15.0, 11.0): 0.00673036661652, (8.0, 10.0): 0.00684568444878, (9.0, 11.0): 0.0068396367866, (12.0, 3.0): 0.0066278026809, (17.0, 5.0): 0.00842528247147, (16.0, 11.0): 0.00688863398125, (14.0, 10.0): 0.00822992032007, (17.0, 10.0): 0.00871468148879, (15.0, 3.0): 0.00668796759121, (18.0, 17.0): 0.00752356684722, (8.0, 7.0): 0.00671199222178, (9.0, 6.0): 0.00835450452396, (11.0, 7.0): 0.00810017959342, (10.0, 5.0): 0.00832541387935, (16.0, 5.0): 0.00832232058905, (20.0, 24.0): 0.00808552233337, (19.0, 16.0): 0.00763157601585, (16.0, 8.0): 0.00825601405009, (14.0, 7.0): 0.00801317178406, (13.0, 5.0): 0.00810272348646, (18.0, 20.0): 0.0101507761801, (18.0, 7.0): 0.00672136285721, (15.0, 6.0): 0.00812902849906, (18.0, 18.0): 0.0100873875504, (8.0, 4.0): 0.00684577308104, (10.0, 11.0): 0.00676773196855, (13.0, 8.0): 0.00801634052606, (10.0, 6.0): 0.00824650823588, (15.0, 22.0): 0.00525456095516, (12.0, 5.0): 0.00813275727729, (17.0, 3.0): 0.00683893217286, (15.0, 8.0): 0.00813120922168, (21.0, 16.0): 0.00518134246122, (18.0, 8.0): 0.00677597161132, (15.0, 5.0): 0.00821235141194, (18.0, 23.0): 0.00779286679775, (16.0, 15.0): 0.00769926118955, (12.0, 10.0): 0.0082226873303, (15.0, 15.0): 0.00517371635476, (13.0, 11.0): 0.00660451214721, (18.0, 13.0): 0.00655950145571, (18.0, 24.0): 0.00788999354863, (8.0, 11.0): 0.00515512324912, (9.0, 10.0): 0.00850819132323, (19.0, 20.0): 0.00768536494803, (17.0, 4.0): 0.0085063923798, (14.0, 11.0): 0.00663718829275, (18.0, 3.0): 0.0051542802846, (17.0, 9.0): 0.00852140821242, (18.0, 14.0): 0.00697651224319, (8.0, 8.0): 0.00673395952529, (9.0, 5.0): 0.00842877501207, (11.0, 6.0): 0.00813285570629, }, ]
+18 Stop [{(16.0, 6.0): 0.00825139291049, (11.0, 11.0): 0.0066806141864, (17.0, 7.0): 0.00833564790545, (16.0, 9.0): 0.00837427739301, (14.0, 4.0): 0.00822864264173, (13.0, 4.0): 0.00820163908013, (20.0, 20.0): 0.00774730533344, (18.0, 4.0): 0.00682677861595, (18.0, 19.0): 0.0075810493611, (8.0, 5.0): 0.00677778201268, (10.0, 8.0): 0.00825450847789, (11.0, 5.0): 0.00822220516774, (10.0, 7.0): 0.00822648908953, (16.0, 3.0): 0.00675572041438, (12.0, 6.0): 0.00807008231885, (16.0, 22.0): 0.00783999182177, (13.0, 7.0): 0.00800989980977, (18.0, 9.0): 0.00690748600368, (15.0, 4.0): 0.0083025139554, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00516922311035, (9.0, 3.0): 0.00682222244916, (19.0, 24.0): 0.00799104345455, (12.0, 11.0): 0.00662363981253, (13.0, 10.0): 0.00820015901993, (18.0, 10.0): 0.00712189292024, (17.0, 18.0): 0.00765035316488, (9.0, 9.0): 0.0084202906554, (16.0, 18.0): 0.00771982490715, (11.0, 8.0): 0.00814793401658, (14.0, 8.0): 0.00806729683954, (21.0, 24.0): 0.00540385399776, (20.0, 16.0): 0.00771060754248, (17.0, 8.0): 0.00839207412049, (18.0, 15.0): 0.00980031348712, (8.0, 9.0): 0.00677770689767, (9.0, 4.0): 0.00849123240772, (10.0, 3.0): 0.00675656697629, (16.0, 7.0): 0.00822694622605, (11.0, 10.0): 0.00830172197685, (17.0, 6.0): 0.00835259061705, (16.0, 10.0): 0.00850618197865, (14.0, 5.0): 0.00814397610288, (13.0, 3.0): 0.00660461480707, (18.0, 5.0): 0.00677569724217, (17.0, 11.0): 0.00711548121236, (18.0, 16.0): 0.0100073178251, (8.0, 6.0): 0.00672948270025, (10.0, 9.0): 0.00832475207159, (9.0, 7.0): 0.00832768829751, (11.0, 4.0): 0.0083036611601, (10.0, 4.0): 0.00840235712059, (16.0, 4.0): 0.00840063017284, (12.0, 7.0): 0.00803979160769, (11.0, 9.0): 0.00822070496359, (15.0, 10.0): 0.00834137464711, (14.0, 6.0): 0.00806805784854, (13.0, 6.0): 0.0080407283371, (18.0, 6.0): 0.00673021162449, (17.0, 22.0): 0.00778827162575, (15.0, 7.0): 0.00811633010937, (18.0, 21.0): 0.00766167087388, (8.0, 3.0): 0.00513983667712, (10.0, 10.0): 0.00840144061388, (11.0, 3.0): 0.00668226997111, (12.0, 4.0): 0.00822919673171, (15.0, 9.0): 0.00823735120502, (14.0, 3.0): 0.0066253903456, (13.0, 9.0): 0.00811385053393, (12.0, 8.0): 0.0080685291077, (18.0, 11.0): 0.00746696854255, (18.0, 22.0): 0.0103175273147, (9.0, 8.0): 0.00835426182943, (14.0, 9.0): 0.00814572145119, (12.0, 9.0): 0.00814252304776, (17.0, 15.0): 0.00753890805562, (21.0, 20.0): 0.00518551701743, (18.0, 12.0): 0.00609072902229, (15.0, 11.0): 0.00673115362432, (8.0, 10.0): 0.00682850978417, (9.0, 11.0): 0.00682185486981, (12.0, 3.0): 0.00662562714073, (17.0, 5.0): 0.00841743596216, (16.0, 11.0): 0.00688627177527, (14.0, 10.0): 0.00823721468371, (17.0, 10.0): 0.0087108383164, (15.0, 3.0): 0.00668174954784, (18.0, 17.0): 0.0075320242503, (8.0, 7.0): 0.00670990356366, (9.0, 6.0): 0.00835437318128, (11.0, 7.0): 0.00811926216637, (10.0, 5.0): 0.00832540112175, (16.0, 5.0): 0.00832244046077, (20.0, 24.0): 0.00806972549164, (19.0, 16.0): 0.00762225805882, (16.0, 8.0): 0.00826996483894, (14.0, 7.0): 0.00803731308394, (13.0, 5.0): 0.00811659638712, (18.0, 20.0): 0.0101694073368, (18.0, 7.0): 0.00672325019396, (15.0, 6.0): 0.00814533732724, (18.0, 18.0): 0.0101018127286, (8.0, 4.0): 0.00682863421858, (10.0, 11.0): 0.00675569701793, (13.0, 8.0): 0.00803867835232, (10.0, 6.0): 0.00825484066029, (15.0, 22.0): 0.00524406360181, (12.0, 5.0): 0.00814514897285, (17.0, 3.0): 0.00682106352134, (15.0, 8.0): 0.00815046161646, (21.0, 16.0): 0.00516674887053, (18.0, 8.0): 0.00677836054959, (15.0, 5.0): 0.00821996454213, (18.0, 23.0): 0.00780318039702, (16.0, 15.0): 0.00767248444259, (12.0, 10.0): 0.00822627386168, (15.0, 15.0): 0.0051532785739, (13.0, 11.0): 0.00660547203452, (18.0, 13.0): 0.00654648793924, (18.0, 24.0): 0.00789349160934, (8.0, 11.0): 0.00513970472522, (9.0, 10.0): 0.00849087917503, (19.0, 20.0): 0.00768601574244, (17.0, 4.0): 0.0084890796296, (14.0, 11.0): 0.00663900082813, (18.0, 3.0): 0.00513880118816, (17.0, 9.0): 0.00852434528593, (18.0, 14.0): 0.00696528635671, (8.0, 8.0): 0.00672944863016, (9.0, 5.0): 0.00842052199882, (11.0, 6.0): 0.00814874708098, }, ]
+19 Stop [{(16.0, 6.0): 0.00825974150832, (11.0, 11.0): 0.00667533214959, (17.0, 7.0): 0.0083422643223, (16.0, 9.0): 0.00838242414031, (14.0, 4.0): 0.00823170194243, (13.0, 4.0): 0.0082063686699, (20.0, 20.0): 0.00773719886734, (18.0, 4.0): 0.00681136861984, (18.0, 19.0): 0.00759482147006, (8.0, 5.0): 0.00676807913264, (10.0, 8.0): 0.008261589097, (11.0, 5.0): 0.00822903270068, (10.0, 7.0): 0.00823655773832, (16.0, 3.0): 0.00674475940546, (12.0, 6.0): 0.00808889966349, (16.0, 22.0): 0.00783145295007, (13.0, 7.0): 0.00803328223816, (18.0, 9.0): 0.00690680392556, (15.0, 4.0): 0.00830078764938, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00515788652422, (9.0, 3.0): 0.00680622273028, (19.0, 24.0): 0.00798475351851, (12.0, 11.0): 0.0066226862807, (13.0, 10.0): 0.00820686762848, (18.0, 10.0): 0.0071162545299, (17.0, 18.0): 0.00764884587283, (9.0, 9.0): 0.00841246347071, (16.0, 18.0): 0.00770800424585, (11.0, 8.0): 0.00816218774643, (14.0, 8.0): 0.00808789426869, (21.0, 24.0): 0.00539183549609, (20.0, 16.0): 0.0076943296357, (17.0, 8.0): 0.00839899656756, (18.0, 15.0): 0.00978663929882, (8.0, 9.0): 0.00676797445908, (9.0, 4.0): 0.00847553647236, (10.0, 3.0): 0.00674573627326, (16.0, 7.0): 0.00824005639806, (11.0, 10.0): 0.0083001818298, (17.0, 6.0): 0.00835396638515, (16.0, 10.0): 0.00850810241085, (14.0, 5.0): 0.00815544750448, (13.0, 3.0): 0.00660423588938, (18.0, 5.0): 0.00676665906309, (17.0, 11.0): 0.00710934804583, (18.0, 16.0): 0.0100033352644, (8.0, 6.0): 0.0067251667054, (10.0, 9.0): 0.00832433935647, (9.0, 7.0): 0.00833003837046, (11.0, 4.0): 0.0083020515288, (10.0, 4.0): 0.0083936721061, (16.0, 4.0): 0.00839186294732, (12.0, 7.0): 0.00806151300208, (11.0, 9.0): 0.00822752721527, (15.0, 10.0): 0.00834721290898, (14.0, 6.0): 0.00808708253994, (13.0, 6.0): 0.00806107294027, (18.0, 6.0): 0.00672780788856, (17.0, 22.0): 0.00778880297785, (15.0, 7.0): 0.00813527767261, (18.0, 21.0): 0.00767562395418, (8.0, 3.0): 0.00512599305931, (10.0, 10.0): 0.00839268302195, (11.0, 3.0): 0.00667684825405, (12.0, 4.0): 0.00823233597414, (15.0, 9.0): 0.00824983726256, (14.0, 3.0): 0.00662366720347, (13.0, 9.0): 0.00812818648103, (12.0, 8.0): 0.00808749122641, (18.0, 11.0): 0.00745632867622, (18.0, 22.0): 0.0103304227942, (9.0, 8.0): 0.00835371200958, (14.0, 9.0): 0.00816028694268, (12.0, 9.0): 0.00815437630293, (17.0, 15.0): 0.00752054253785, (21.0, 20.0): 0.00517519361986, (18.0, 12.0): 0.00607914778948, (15.0, 11.0): 0.00673238148635, (8.0, 10.0): 0.00681296491387, (9.0, 11.0): 0.00680579871535, (12.0, 3.0): 0.00662396732607, (17.0, 5.0): 0.00841023364446, (16.0, 11.0): 0.00688446304872, (14.0, 10.0): 0.00824464416742, (17.0, 10.0): 0.00870761664935, (15.0, 3.0): 0.00667621786803, (18.0, 17.0): 0.00753795738852, (8.0, 7.0): 0.00670774638302, (9.0, 6.0): 0.00835385550264, (11.0, 7.0): 0.00813644479223, (10.0, 5.0): 0.00832506521384, (16.0, 5.0): 0.00832237280968, (20.0, 24.0): 0.00805551664761, (19.0, 16.0): 0.0076127846567, (16.0, 8.0): 0.00828274483899, (14.0, 7.0): 0.00805977953823, (13.0, 5.0): 0.00812961777602, (18.0, 20.0): 0.0101852638267, (18.0, 7.0): 0.0067250851731, (15.0, 6.0): 0.00816021654755, (18.0, 18.0): 0.0101132621076, (8.0, 4.0): 0.00681312943173, (10.0, 11.0): 0.00674482964131, (13.0, 8.0): 0.00805965092865, (10.0, 6.0): 0.00826197022676, (15.0, 22.0): 0.00523536240816, (12.0, 5.0): 0.00815664591566, (17.0, 3.0): 0.00680494563924, (15.0, 8.0): 0.00816828092187, (21.0, 16.0): 0.00515357694943, (18.0, 8.0): 0.0067806890109, (15.0, 5.0): 0.00822684647768, (18.0, 23.0): 0.0078116058308, (16.0, 15.0): 0.00764710345302, (12.0, 10.0): 0.00823004553438, (15.0, 15.0): 0.00513413410114, (13.0, 11.0): 0.00660705997278, (18.0, 13.0): 0.00653416777275, (18.0, 24.0): 0.00789590515364, (8.0, 11.0): 0.0051258260719, (9.0, 10.0): 0.00847511325236, (19.0, 20.0): 0.00768679219283, (17.0, 4.0): 0.00847338968725, (14.0, 11.0): 0.00664134955848, (18.0, 3.0): 0.00512489426371, (17.0, 9.0): 0.00852717852408, (18.0, 14.0): 0.0069540031371, (8.0, 8.0): 0.00672511713876, (9.0, 5.0): 0.00841275124508, (11.0, 6.0): 0.00816302747885, }, ]
+20 Stop [{(16.0, 6.0): 0.00826727072975, (11.0, 11.0): 0.00667074838386, (17.0, 7.0): 0.00834832802789, (16.0, 9.0): 0.00839005743536, (14.0, 4.0): 0.00823477795411, (13.0, 4.0): 0.00821106384484, (20.0, 20.0): 0.00772892716332, (18.0, 4.0): 0.00679748294608, (18.0, 19.0): 0.00760623864025, (8.0, 5.0): 0.00675914406646, (10.0, 8.0): 0.00826767718956, (11.0, 5.0): 0.00823516456757, (10.0, 7.0): 0.00824532004496, (16.0, 3.0): 0.00673485331765, (12.0, 6.0): 0.00810623180007, (16.0, 22.0): 0.00782443318006, (13.0, 7.0): 0.00805505972948, (18.0, 9.0): 0.00690637257141, (15.0, 4.0): 0.00829929427037, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00514827801073, (9.0, 3.0): 0.00679176139846, (19.0, 24.0): 0.00797872510658, (12.0, 11.0): 0.00662227870764, (13.0, 10.0): 0.00821371375546, (18.0, 10.0): 0.00711137011279, (17.0, 18.0): 0.00764726556646, (9.0, 9.0): 0.00840511923259, (16.0, 18.0): 0.00769789330167, (11.0, 8.0): 0.00817504801547, (14.0, 8.0): 0.00810717852002, (21.0, 24.0): 0.00538108996392, (20.0, 16.0): 0.00767915990551, (17.0, 8.0): 0.00840540910331, (18.0, 15.0): 0.00977234219912, (8.0, 9.0): 0.00675900682207, (9.0, 4.0): 0.00846123000521, (10.0, 3.0): 0.00673593623562, (16.0, 7.0): 0.00825201694806, (11.0, 10.0): 0.00829892055768, (17.0, 6.0): 0.00835519314419, (16.0, 10.0): 0.00851018698408, (14.0, 5.0): 0.00816613924811, (13.0, 3.0): 0.00660424133871, (18.0, 5.0): 0.00675850562176, (17.0, 11.0): 0.00710405827256, (18.0, 16.0): 0.00999774098922, (8.0, 6.0): 0.00672101915579, (10.0, 9.0): 0.00832372043228, (9.0, 7.0): 0.00833176931995, (11.0, 4.0): 0.00830063052546, (10.0, 4.0): 0.00838569913253, (16.0, 4.0): 0.00838387247009, (12.0, 7.0): 0.00808152618448, (11.0, 9.0): 0.00823372249018, (15.0, 10.0): 0.00835305472155, (14.0, 6.0): 0.0081047198141, (13.0, 6.0): 0.00807999103158, (18.0, 6.0): 0.00672568130822, (17.0, 22.0): 0.00778935767453, (15.0, 7.0): 0.00815272221566, (18.0, 21.0): 0.00768746297329, (8.0, 3.0): 0.0051135023936, (10.0, 10.0): 0.00838467090244, (11.0, 3.0): 0.00667204826911, (12.0, 4.0): 0.00823547224922, (15.0, 9.0): 0.00826160843528, (14.0, 3.0): 0.00662237062871, (13.0, 9.0): 0.00814187365675, (12.0, 8.0): 0.0081050438413, (18.0, 11.0): 0.00744686540948, (18.0, 22.0): 0.0103412832862, (9.0, 8.0): 0.00835283987424, (14.0, 9.0): 0.00817416982447, (12.0, 9.0): 0.008165525352, (17.0, 15.0): 0.00750254182166, (21.0, 20.0): 0.00516666309905, (18.0, 12.0): 0.0060685206898, (15.0, 11.0): 0.00673399110519, (8.0, 10.0): 0.00679886618434, (9.0, 11.0): 0.00679128843027, (12.0, 3.0): 0.0066227300622, (17.0, 5.0): 0.00840365727108, (16.0, 11.0): 0.0068831686274, (14.0, 10.0): 0.00825213971913, (17.0, 10.0): 0.00870498016079, (15.0, 3.0): 0.00667131864912, (18.0, 17.0): 0.00754180180584, (8.0, 7.0): 0.00670551523089, (9.0, 6.0): 0.00835301474534, (11.0, 7.0): 0.00815194615158, (10.0, 5.0): 0.0083244982985, (16.0, 5.0): 0.00832221147749, (20.0, 24.0): 0.00804267447009, (19.0, 16.0): 0.0076032052469, (16.0, 8.0): 0.00829450057336, (14.0, 7.0): 0.00808066325153, (13.0, 5.0): 0.00814183056127, (18.0, 20.0): 0.0101987284957, (18.0, 7.0): 0.0067268483826, (15.0, 6.0): 0.00817383294922, (18.0, 18.0): 0.0101221904374, (8.0, 4.0): 0.00679907378867, (10.0, 11.0): 0.00673502673095, (13.0, 8.0): 0.00807930102859, (10.0, 6.0): 0.00826809523208, (15.0, 22.0): 0.00522816552077, (12.0, 5.0): 0.008167306406, (17.0, 3.0): 0.00679040228653, (15.0, 8.0): 0.00818480699294, (21.0, 16.0): 0.00514156501995, (18.0, 8.0): 0.0067829438409, (15.0, 5.0): 0.00823313419775, (18.0, 23.0): 0.00781844269337, (16.0, 15.0): 0.00762294904753, (12.0, 10.0): 0.00823396582929, (15.0, 15.0): 0.00511610153491, (13.0, 11.0): 0.00660914747869, (18.0, 13.0): 0.00652243956644, (18.0, 24.0): 0.00789742150098, (8.0, 11.0): 0.00511329959794, (9.0, 10.0): 0.00846074285631, (19.0, 20.0): 0.00768764631006, (17.0, 4.0): 0.00845917582057, (14.0, 11.0): 0.00664412658789, (18.0, 3.0): 0.00511237665267, (17.0, 9.0): 0.00852994415765, (18.0, 14.0): 0.00694271679465, (8.0, 8.0): 0.00672095189713, (9.0, 5.0): 0.00840546146994, (11.0, 6.0): 0.0081758749724, }, ]
+21 Stop [{(16.0, 6.0): 0.00827410504974, (11.0, 11.0): 0.00666679756715, (17.0, 7.0): 0.00835390154034, (16.0, 9.0): 0.00839725951714, (14.0, 4.0): 0.00823784772066, (13.0, 4.0): 0.00821568925656, (20.0, 20.0): 0.00772218937398, (18.0, 4.0): 0.00678495785697, (18.0, 19.0): 0.00761564261335, (8.0, 5.0): 0.00675090154672, (10.0, 8.0): 0.0082729211113, (11.0, 5.0): 0.00824069495398, (10.0, 7.0): 0.00825296158763, (16.0, 3.0): 0.00672591805734, (12.0, 6.0): 0.0081221860789, (16.0, 22.0): 0.00781867971192, (13.0, 7.0): 0.00807530824513, (18.0, 9.0): 0.00690616046281, (15.0, 4.0): 0.00829804544074, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00514010343926, (9.0, 3.0): 0.00677867120743, (19.0, 24.0): 0.00797294035922, (12.0, 11.0): 0.00662233680841, (13.0, 10.0): 0.0082206254618, (18.0, 10.0): 0.00710714805558, (17.0, 18.0): 0.00764560056539, (9.0, 9.0): 0.0083982361846, (16.0, 18.0): 0.00768919196141, (11.0, 8.0): 0.00818668753762, (14.0, 8.0): 0.00812522392351, (21.0, 24.0): 0.00537143647199, (20.0, 16.0): 0.00766490422744, (17.0, 8.0): 0.00841137233267, (18.0, 15.0): 0.00975760700252, (8.0, 9.0): 0.0067507300724, (9.0, 4.0): 0.00844818691832, (10.0, 3.0): 0.0067270763023, (16.0, 7.0): 0.00826296769894, (11.0, 10.0): 0.00829794305188, (17.0, 6.0): 0.00835631016164, (16.0, 10.0): 0.0085124480172, (14.0, 5.0): 0.00817612035507, (13.0, 3.0): 0.00660454827637, (18.0, 5.0): 0.00675114892323, (17.0, 11.0): 0.00709951910952, (18.0, 16.0): 0.00999085648133, (8.0, 6.0): 0.00671702256235, (10.0, 9.0): 0.00832298204941, (9.0, 7.0): 0.00833296760462, (11.0, 4.0): 0.00829940536223, (10.0, 4.0): 0.00837839565124, (16.0, 4.0): 0.00837662413712, (12.0, 7.0): 0.00809996154138, (11.0, 9.0): 0.00823938736952, (15.0, 10.0): 0.0083588957483, (14.0, 6.0): 0.00812106925891, (13.0, 6.0): 0.0080975665873, (18.0, 6.0): 0.00672379745698, (17.0, 22.0): 0.00778991777307, (15.0, 7.0): 0.00816880847148, (18.0, 21.0): 0.00769749060323, (8.0, 3.0): 0.00510220959465, (10.0, 10.0): 0.00837736763248, (11.0, 3.0): 0.00666780474682, (12.0, 4.0): 0.00823857712065, (15.0, 9.0): 0.00827273948192, (14.0, 3.0): 0.00662143824495, (13.0, 9.0): 0.00815491672346, (12.0, 8.0): 0.00812128888437, (18.0, 11.0): 0.00743841367864, (18.0, 22.0): 0.0103504086019, (9.0, 8.0): 0.00835171909755, (14.0, 9.0): 0.00818739403113, (12.0, 9.0): 0.00817602623391, (17.0, 15.0): 0.00748491583951, (21.0, 20.0): 0.00515964060396, (18.0, 12.0): 0.00605870310445, (15.0, 11.0): 0.00673593252443, (8.0, 10.0): 0.00678605002218, (9.0, 11.0): 0.00677816056088, (12.0, 3.0): 0.00662184936735, (17.0, 5.0): 0.00839767394811, (16.0, 11.0): 0.0068823418981, (14.0, 10.0): 0.0082596472511, (17.0, 10.0): 0.00870287935684, (15.0, 3.0): 0.00666699450294, (18.0, 17.0): 0.00754391679193, (8.0, 7.0): 0.00670322543494, (9.0, 6.0): 0.00835192294241, (11.0, 7.0): 0.00816594307378, (10.0, 5.0): 0.00832378374012, (16.0, 5.0): 0.00832202922923, (20.0, 24.0): 0.00803101150752, (19.0, 16.0): 0.00759355696478, (16.0, 8.0): 0.00830535821061, (14.0, 7.0): 0.00810006870616, (13.0, 5.0): 0.00815326621836, (18.0, 20.0): 0.0102101314318, (18.0, 7.0): 0.00672853398851, (15.0, 6.0): 0.0081863359813, (18.0, 18.0): 0.0101289829469, (8.0, 4.0): 0.00678630126269, (10.0, 11.0): 0.00672620006676, (13.0, 8.0): 0.00809769135523, (10.0, 6.0): 0.00827336065866, (15.0, 22.0): 0.00522222715374, (12.0, 5.0): 0.00817720111682, (17.0, 3.0): 0.00677727461605, (15.0, 8.0): 0.00820016334745, (21.0, 16.0): 0.00513050247848, (18.0, 8.0): 0.00678512301939, (15.0, 5.0): 0.00823892242859, (18.0, 23.0): 0.00782394221966, (16.0, 15.0): 0.00759988105718, (12.0, 10.0): 0.0082379947758, (15.0, 15.0): 0.0050990337833, (13.0, 11.0): 0.00661163094465, (18.0, 13.0): 0.00651122568363, (18.0, 24.0): 0.00789819643365, (8.0, 11.0): 0.00510197185297, (9.0, 10.0): 0.00844764525192, (19.0, 20.0): 0.00768853994838, (17.0, 4.0): 0.0084463124205, (14.0, 11.0): 0.00664724423677, (18.0, 3.0): 0.00510109685904, (17.0, 9.0): 0.00853267131427, (18.0, 14.0): 0.00693147100348, (8.0, 8.0): 0.00671693646237, (9.0, 5.0): 0.00839862692041, (11.0, 6.0): 0.00818746254474, }, ]
+22 Stop [{(16.0, 6.0): 0.00828034962417, (11.0, 11.0): 0.00666342222096, (17.0, 7.0): 0.00835904384384, (16.0, 9.0): 0.00840409530823, (14.0, 4.0): 0.00824090011585, (13.0, 4.0): 0.00822021313234, (20.0, 20.0): 0.0077167300761, (18.0, 4.0): 0.00677365479883, (18.0, 19.0): 0.00762332613244, (8.0, 5.0): 0.00674328172702, (10.0, 8.0): 0.0082774542767, (11.0, 5.0): 0.00824570954358, (10.0, 7.0): 0.0082596308072, (16.0, 3.0): 0.00671787162151, (12.0, 6.0): 0.00813687557383, (16.0, 22.0): 0.0078139794052, (13.0, 7.0): 0.00809411928704, (18.0, 9.0): 0.0069061421473, (15.0, 4.0): 0.00829703657116, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00513311570676, (9.0, 3.0): 0.00676681079265, (19.0, 24.0): 0.00796738276679, (12.0, 11.0): 0.00662279028521, (13.0, 10.0): 0.00822754457859, (18.0, 10.0): 0.00710350642062, (17.0, 18.0): 0.00764384324565, (9.0, 9.0): 0.0083917990348, (16.0, 18.0): 0.00768164922856, (11.0, 8.0): 0.00819724559532, (14.0, 8.0): 0.0081421082727, (21.0, 24.0): 0.00536272207183, (20.0, 16.0): 0.00765140496998, (17.0, 8.0): 0.00841694143443, (18.0, 15.0): 0.00974257815196, (8.0, 9.0): 0.00674307637616, (9.0, 4.0): 0.00843628501553, (10.0, 3.0): 0.00671906719439, (16.0, 7.0): 0.00827302819422, (11.0, 10.0): 0.00829723795772, (17.0, 6.0): 0.00835734750421, (16.0, 10.0): 0.00851488200242, (14.0, 5.0): 0.00818544519632, (13.0, 3.0): 0.00660509682348, (18.0, 5.0): 0.00674451084892, (17.0, 11.0): 0.00709564454293, (18.0, 16.0): 0.00998294045653, (8.0, 6.0): 0.00671317197449, (10.0, 9.0): 0.00832217886946, (9.0, 7.0): 0.00833372060518, (11.0, 4.0): 0.00829836580433, (10.0, 4.0): 0.00837172340996, (16.0, 4.0): 0.00837008175985, (12.0, 7.0): 0.00811693756471, (11.0, 9.0): 0.00824460524847, (15.0, 10.0): 0.00836472923081, (14.0, 6.0): 0.00813623217774, (13.0, 6.0): 0.00811387927772, (18.0, 6.0): 0.00672213212451, (17.0, 22.0): 0.00779046797881, (15.0, 7.0): 0.00818366884107, (18.0, 21.0): 0.00770596520951, (8.0, 3.0): 0.00509197964908, (10.0, 10.0): 0.00837073761383, (11.0, 3.0): 0.00666406367656, (12.0, 4.0): 0.00824163691309, (15.0, 9.0): 0.00828329042519, (14.0, 3.0): 0.0066208148002, (13.0, 9.0): 0.0081673307611, (12.0, 8.0): 0.0081363311105, (18.0, 11.0): 0.00743083791242, (18.0, 22.0): 0.0103580523491, (9.0, 8.0): 0.00835040291521, (14.0, 9.0): 0.00819998428222, (12.0, 9.0): 0.00818592279741, (17.0, 15.0): 0.00746766738286, (21.0, 20.0): 0.00515388342664, (18.0, 12.0): 0.00604957968235, (15.0, 11.0): 0.00673815881448, (8.0, 10.0): 0.00677438135835, (9.0, 11.0): 0.00676627649162, (12.0, 3.0): 0.00662126602177, (17.0, 5.0): 0.0083922523827, (16.0, 11.0): 0.00688193798645, (14.0, 10.0): 0.00826712355766, (17.0, 10.0): 0.00870126652894, (15.0, 3.0): 0.00666319678946, (18.0, 17.0): 0.00754459878769, (8.0, 7.0): 0.00670088963584, (9.0, 6.0): 0.00835063126581, (11.0, 7.0): 0.00817860325703, (10.0, 5.0): 0.00832297238488, (16.0, 5.0): 0.00832187095856, (20.0, 24.0): 0.00802036885824, (19.0, 16.0): 0.00758386785107, (16.0, 8.0): 0.00831542422136, (14.0, 7.0): 0.00811809572104, (13.0, 5.0): 0.00816396870682, (18.0, 20.0): 0.0102197572463, (18.0, 7.0): 0.00673014392429, (15.0, 6.0): 0.008197848238, (18.0, 18.0): 0.0101339657269, (8.0, 4.0): 0.00677467461757, (10.0, 11.0): 0.00671826307519, (13.0, 8.0): 0.00811488582634, (10.0, 6.0): 0.00827789829471, (15.0, 22.0): 0.00521734014751, (12.0, 5.0): 0.00818638509775, (17.0, 3.0): 0.00676542627213, (15.0, 8.0): 0.00821445868699, (21.0, 16.0): 0.00512021931505, (18.0, 8.0): 0.00678722883421, (15.0, 5.0): 0.00824429068699, (18.0, 23.0): 0.00782831503492, (16.0, 15.0): 0.00757778252388, (12.0, 10.0): 0.00824210210678, (15.0, 15.0): 0.00508281057738, (13.0, 11.0): 0.00661442808981, (18.0, 13.0): 0.00650046659719, (18.0, 24.0): 0.00789835967084, (8.0, 11.0): 0.00509170993009, (9.0, 10.0): 0.00843570245957, (19.0, 20.0): 0.00768944263207, (17.0, 4.0): 0.0084346802194, (14.0, 11.0): 0.00665063137668, (18.0, 3.0): 0.00509092373794, (17.0, 9.0): 0.00853537661989, (18.0, 14.0): 0.00692030064633, (8.0, 8.0): 0.00671306681194, (9.0, 5.0): 0.00839222949093, (11.0, 6.0): 0.00819792946201, }, ]
+23 Stop [{(16.0, 6.0): 0.00828608890383, (11.0, 11.0): 0.00666056648688, (17.0, 7.0): 0.00836380817641, (16.0, 9.0): 0.00841061371542, (14.0, 4.0): 0.00824392270318, (13.0, 4.0): 0.00822461797949, (20.0, 20.0): 0.00771233261605, (18.0, 4.0): 0.00676345203513, (18.0, 19.0): 0.00762953945411, (8.0, 5.0): 0.00673622797796, (10.0, 8.0): 0.00828138249278, (11.0, 5.0): 0.00825027245851, (10.0, 7.0): 0.00826546144816, (16.0, 3.0): 0.00671064002274, (12.0, 6.0): 0.0081504013952, (16.0, 22.0): 0.00781015253509, (13.0, 7.0): 0.00811158353537, (18.0, 9.0): 0.00690629467451, (15.0, 4.0): 0.00829626102413, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00512710759624, (9.0, 3.0): 0.00675605304956, (19.0, 24.0): 0.00796203709862, (12.0, 11.0): 0.00662358057035, (13.0, 10.0): 0.00823442722328, (18.0, 10.0): 0.00710037492587, (17.0, 18.0): 0.00764198892314, (9.0, 9.0): 0.00838578574985, (16.0, 18.0): 0.00767505534478, (11.0, 8.0): 0.0082068478976, (14.0, 8.0): 0.00815790655786, (21.0, 24.0): 0.005354817322, (20.0, 16.0): 0.00763853393121, (17.0, 8.0): 0.00842216443246, (18.0, 15.0): 0.00972736899519, (8.0, 9.0): 0.00673599094357, (9.0, 4.0): 0.00842541893584, (10.0, 3.0): 0.00671183009789, (16.0, 7.0): 0.00828230294493, (11.0, 10.0): 0.0082967921406, (17.0, 6.0): 0.00835833170211, (16.0, 10.0): 0.00851747911069, (14.0, 5.0): 0.00819416737674, (13.0, 3.0): 0.00660583703783, (18.0, 5.0): 0.0067385249196, (17.0, 11.0): 0.00709235841624, (18.0, 16.0): 0.00997420186504, (8.0, 6.0): 0.0067094620875, (10.0, 9.0): 0.00832135500865, (9.0, 7.0): 0.00833409952764, (11.0, 4.0): 0.00829750305333, (10.0, 4.0): 0.00836563612154, (16.0, 4.0): 0.00836420180717, (12.0, 7.0): 0.00813257335862, (11.0, 9.0): 0.00824943809368, (15.0, 10.0): 0.00837054474684, (14.0, 6.0): 0.00815030012216, (13.0, 6.0): 0.00812901500463, (18.0, 6.0): 0.00672066622527, (17.0, 22.0): 0.00779099554862, (15.0, 7.0): 0.00819741993626, (18.0, 21.0): 0.00771310746869, (8.0, 3.0): 0.00508269790225, (10.0, 10.0): 0.00836473714892, (11.0, 3.0): 0.00666077238405, (12.0, 4.0): 0.00824463669494, (15.0, 9.0): 0.00829331158669, (14.0, 3.0): 0.00662045712645, (13.0, 9.0): 0.00817913364913, (12.0, 8.0): 0.00815026457886, (18.0, 11.0): 0.00742402377978, (18.0, 22.0): 0.0103644291617, (9.0, 8.0): 0.00834894206936, (14.0, 9.0): 0.00821196745977, (12.0, 9.0): 0.00819525840485, (17.0, 15.0): 0.0074507945069, (21.0, 20.0): 0.00514918507202, (18.0, 12.0): 0.00604105823795, (15.0, 11.0): 0.00674062789057, (8.0, 10.0): 0.0067637415689, (9.0, 11.0): 0.00675551202698, (12.0, 3.0): 0.00662093401307, (17.0, 5.0): 0.0083873579252, (16.0, 11.0): 0.00688191173645, (14.0, 10.0): 0.00827453417403, (17.0, 10.0): 0.00870009277114, (15.0, 3.0): 0.00665987811702, (18.0, 17.0): 0.00754409280843, (8.0, 7.0): 0.0066985262266, (9.0, 6.0): 0.00834918892495, (11.0, 7.0): 0.00819006933725, (10.0, 5.0): 0.00832210662481, (16.0, 5.0): 0.00832176908245, (20.0, 24.0): 0.00801061157759, (19.0, 16.0): 0.00757415938782, (16.0, 8.0): 0.00832478956905, (14.0, 7.0): 0.00813484485992, (13.0, 5.0): 0.00817397828219, (18.0, 20.0): 0.0102278506362, (18.0, 7.0): 0.00673168498952, (15.0, 6.0): 0.00820847791359, (18.0, 18.0): 0.0101374141537, (8.0, 4.0): 0.00676407263895, (10.0, 11.0): 0.00671113796971, (13.0, 8.0): 0.00813095505154, (10.0, 6.0): 0.00828181244292, (15.0, 22.0): 0.00521332987549, (12.0, 5.0): 0.00819491516701, (17.0, 3.0): 0.0067547350966, (15.0, 8.0): 0.00822779008946, (21.0, 16.0): 0.00511057798085, (18.0, 8.0): 0.00678926701333, (15.0, 5.0): 0.0082492983302, (18.0, 23.0): 0.0078317379892, (16.0, 15.0): 0.0075565552576, (12.0, 10.0): 0.0082462590594, (15.0, 15.0): 0.00506733279665, (13.0, 11.0): 0.00661747135364, (18.0, 13.0): 0.00649011564196, (18.0, 24.0): 0.00789801915752, (8.0, 11.0): 0.00508240110585, (9.0, 10.0): 0.00842481228413, (19.0, 20.0): 0.00769033021429, (17.0, 4.0): 0.00842417314013, (14.0, 11.0): 0.00665422928178, (18.0, 3.0): 0.00508174484705, (17.0, 9.0): 0.00853807151512, (18.0, 14.0): 0.00690923361916, (8.0, 8.0): 0.00670933878903, (9.0, 5.0): 0.00838624406319, (11.0, 6.0): 0.00820740322623, }, ]
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+28 Stop [{(16.0, 6.0): 0.0083093228017, (11.0, 11.0): 0.00665243108263, (17.0, 7.0): 0.00838346105257, (16.0, 9.0): 0.0084395353925, (14.0, 4.0): 0.00825837182319, (13.0, 4.0): 0.008244566844, (20.0, 20.0): 0.00770075458869, (18.0, 4.0): 0.00672563927861, (18.0, 19.0): 0.00764500566671, (8.0, 5.0): 0.00670789111588, (10.0, 8.0): 0.0082946903069, (11.0, 5.0): 0.00826798127577, (10.0, 7.0): 0.00828547205306, (16.0, 3.0): 0.0066844600799, (12.0, 6.0): 0.00820374473138, (16.0, 22.0): 0.00779958014661, (13.0, 7.0): 0.00818185103991, (18.0, 9.0): 0.00690900928907, (15.0, 4.0): 0.00829541214975, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00510659202339, (9.0, 3.0): 0.00671532142558, (19.0, 24.0): 0.00793803096305, (12.0, 11.0): 0.00663101748761, (13.0, 10.0): 0.00826733422655, (18.0, 10.0): 0.00709046982912, (17.0, 18.0): 0.0076312144023, (9.0, 9.0): 0.00836137689572, (16.0, 18.0): 0.00765111498635, (11.0, 8.0): 0.00824382278365, (14.0, 8.0): 0.00822307416454, (21.0, 24.0): 0.00532412701379, (20.0, 16.0): 0.00758055665432, (17.0, 8.0): 0.00844438309289, (18.0, 15.0): 0.00965115856717, (8.0, 9.0): 0.00670759366976, (9.0, 4.0): 0.00838355936441, (10.0, 3.0): 0.00668487294502, (16.0, 7.0): 0.00831966414616, (11.0, 10.0): 0.00829778237136, (17.0, 6.0): 0.00836308254134, (16.0, 10.0): 0.00853231823777, (14.0, 5.0): 0.00823025929212, (13.0, 3.0): 0.00661129102275, (18.0, 5.0): 0.00671655017823, (17.0, 11.0): 0.00708259769427, (18.0, 16.0): 0.00992311523443, (8.0, 6.0): 0.00669299535928, (10.0, 9.0): 0.00831771640718, (9.0, 7.0): 0.00833237430182, (11.0, 4.0): 0.00829535043859, (10.0, 4.0): 0.00834248704725, (16.0, 4.0): 0.00834323098842, (12.0, 7.0): 0.00819425829789, (11.0, 9.0): 0.00826934705236, (15.0, 10.0): 0.00839895068113, (14.0, 6.0): 0.00820706782472, (13.0, 6.0): 0.00818982419382, (18.0, 6.0): 0.00671590323505, (17.0, 22.0): 0.00779299050811, (15.0, 7.0): 0.00825285386723, (18.0, 21.0): 0.00773454160327, (8.0, 3.0): 0.00504741478713, (10.0, 10.0): 0.00834270038629, (11.0, 3.0): 0.00664957674002, (12.0, 4.0): 0.00825850145885, (15.0, 9.0): 0.00833677532403, (14.0, 3.0): 0.00662152928163, (13.0, 9.0): 0.00822983749522, (12.0, 8.0): 0.00820622948934, (18.0, 11.0): 0.00739847656665, (18.0, 22.0): 0.0103827954451, (9.0, 8.0): 0.00834069575029, (14.0, 9.0): 0.00826373733991, (12.0, 9.0): 0.00823476710794, (17.0, 15.0): 0.00737183234833, (21.0, 20.0): 0.00513628650575, (18.0, 12.0): 0.00600527694154, (15.0, 11.0): 0.00675538851763, (8.0, 10.0): 0.00672282907849, (9.0, 11.0): 0.00671506899915, (12.0, 3.0): 0.00662185199792, (17.0, 5.0): 0.00836966929306, (16.0, 11.0): 0.00688603573782, (14.0, 10.0): 0.00830983386226, (17.0, 10.0): 0.00869929661376, (15.0, 3.0): 0.00664908502389, (18.0, 17.0): 0.00752974565398, (8.0, 7.0): 0.006686855173, (9.0, 6.0): 0.00834090214095, (11.0, 7.0): 0.00823351837381, (10.0, 5.0): 0.00831773483193, (16.0, 5.0): 0.00832257804435, (20.0, 24.0): 0.00797162961461, (19.0, 16.0): 0.0075258036408, (16.0, 8.0): 0.00836348435485, (14.0, 7.0): 0.00820258154658, (13.0, 5.0): 0.00821511228073, (18.0, 20.0): 0.0102517175657, (18.0, 7.0): 0.00673868929647, (15.0, 6.0): 0.00825124721726, (18.0, 18.0): 0.0101386126156, (8.0, 4.0): 0.00672320574078, (10.0, 11.0): 0.00668533870659, (13.0, 8.0): 0.00819683077531, (10.0, 6.0): 0.00829476270634, (15.0, 22.0): 0.00520201423336, (12.0, 5.0): 0.00822939842165, (17.0, 3.0): 0.00671523119854, (15.0, 8.0): 0.00828270511853, (21.0, 16.0): 0.00506875083934, (18.0, 8.0): 0.00679869491257, (15.0, 5.0): 0.00827035840918, (18.0, 23.0): 0.00783905453812, (16.0, 15.0): 0.00746097772565, (12.0, 10.0): 0.00826707866893, (15.0, 15.0): 0.00499866686588, (13.0, 11.0): 0.00663474778239, (18.0, 13.0): 0.00644340144226, (18.0, 24.0): 0.00789142804661, (8.0, 11.0): 0.00504712086769, (9.0, 10.0): 0.00838317423961, (19.0, 20.0): 0.00769400045957, (17.0, 4.0): 0.00838539623721, (14.0, 11.0): 0.0066739137823, (18.0, 3.0): 0.0050477039463, (17.0, 9.0): 0.00855151654796, (18.0, 14.0): 0.00685607114256, (8.0, 8.0): 0.00669283090078, (9.0, 5.0): 0.00836172438756, (11.0, 6.0): 0.00824325538906, }, ]
+29 Stop [{(16.0, 6.0): 0.00831317895016, (11.0, 11.0): 0.00665175329348, (17.0, 7.0): 0.00838679049071, (16.0, 9.0): 0.00844472597142, (14.0, 4.0): 0.00826110434222, (13.0, 4.0): 0.00824813323704, (20.0, 20.0): 0.00769972826896, (18.0, 4.0): 0.00672019459375, (18.0, 19.0): 0.00764591776755, (8.0, 5.0): 0.0067033679315, (10.0, 8.0): 0.00829647946022, (11.0, 5.0): 0.0082707440714, (10.0, 7.0): 0.00828816354839, (16.0, 3.0): 0.00668084027327, (12.0, 6.0): 0.00821209620676, (16.0, 22.0): 0.00779853066825, (13.0, 7.0): 0.0081930691707, (18.0, 9.0): 0.00690984681728, (15.0, 4.0): 0.00829574593008, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00510366767381, (9.0, 3.0): 0.00670923206124, (19.0, 24.0): 0.00793369620809, (12.0, 11.0): 0.00663296482194, (13.0, 10.0): 0.00827350379619, (18.0, 10.0): 0.00708934824396, (17.0, 18.0): 0.00762876295011, (9.0, 9.0): 0.008357491076, (16.0, 18.0): 0.00764740580791, (11.0, 8.0): 0.00824952160121, (14.0, 8.0): 0.00823378578897, (21.0, 24.0): 0.00531927337843, (20.0, 16.0): 0.00756982885138, (17.0, 8.0): 0.0084482427378, (18.0, 15.0): 0.00963620294736, (8.0, 9.0): 0.0067030887914, (9.0, 4.0): 0.00837718595143, (10.0, 3.0): 0.00668094018711, (16.0, 7.0): 0.0083257572445, (11.0, 10.0): 0.00829848946645, (17.0, 6.0): 0.00836408294649, (16.0, 10.0): 0.00853552911949, (14.0, 5.0): 0.00823623392599, (13.0, 3.0): 0.00661258144438, (18.0, 5.0): 0.00671345703158, (17.0, 11.0): 0.00708163682244, (18.0, 16.0): 0.00991208488199, (8.0, 6.0): 0.00669011584023, (10.0, 9.0): 0.00831716620969, (9.0, 7.0): 0.00833160264247, (11.0, 4.0): 0.0082952582291, (10.0, 4.0): 0.00833904457269, (16.0, 4.0): 0.00834043850392, (12.0, 7.0): 0.00820392038646, (11.0, 9.0): 0.0082726871445, (15.0, 10.0): 0.00840442275044, (14.0, 6.0): 0.0082161960149, (13.0, 6.0): 0.00819952001411, (18.0, 6.0): 0.0067154021857, (17.0, 22.0): 0.00779322241284, (15.0, 7.0): 0.00826181037915, (18.0, 21.0): 0.0077368087871, (8.0, 3.0): 0.0050421033873, (10.0, 10.0): 0.00833960935754, (11.0, 3.0): 0.00664814550846, (12.0, 4.0): 0.0082610264321, (15.0, 9.0): 0.00834434077122, (14.0, 3.0): 0.00662215069671, (13.0, 9.0): 0.00823850138899, (12.0, 8.0): 0.00821518169083, (18.0, 11.0): 0.00739464500302, (18.0, 22.0): 0.0103845610778, (9.0, 8.0): 0.00833903517614, (14.0, 9.0): 0.00827265163719, (12.0, 9.0): 0.00824145196276, (17.0, 15.0): 0.00735705966645, (21.0, 20.0): 0.0051350614491, (18.0, 12.0): 0.00599917860293, (15.0, 11.0): 0.00675862464566, (8.0, 10.0): 0.00671661415754, (9.0, 11.0): 0.00670911039692, (12.0, 3.0): 0.00662238023194, (17.0, 5.0): 0.00836728276775, (16.0, 11.0): 0.00688746913498, (14.0, 10.0): 0.00831644966755, (17.0, 10.0): 0.00869989316074, (15.0, 3.0): 0.00664785102631, (18.0, 17.0): 0.0075253471805, (8.0, 7.0): 0.00668464521863, (9.0, 6.0): 0.00833920154715, (11.0, 7.0): 0.00824006537949, (10.0, 5.0): 0.00831693804977, (16.0, 5.0): 0.00832303190734, (20.0, 24.0): 0.00796528369945, (19.0, 16.0): 0.00751623224031, (16.0, 8.0): 0.00836995442099, (14.0, 7.0): 0.0082134856886, (13.0, 5.0): 0.00822183220646, (18.0, 20.0): 0.0102541119679, (18.0, 7.0): 0.00674001407154, (15.0, 6.0): 0.00825817002402, (18.0, 18.0): 0.0101366417282, (8.0, 4.0): 0.00671695768276, (10.0, 11.0): 0.00668174977435, (13.0, 8.0): 0.00820756459286, (10.0, 6.0): 0.00829642542427, (15.0, 22.0): 0.00520086716555, (12.0, 5.0): 0.00823494763368, (17.0, 3.0): 0.00670957004915, (15.0, 8.0): 0.00829177856584, (21.0, 16.0): 0.00506122763778, (18.0, 8.0): 0.00680047499311, (15.0, 5.0): 0.00827397102253, (18.0, 23.0): 0.00783919305618, (16.0, 15.0): 0.0074436034576, (12.0, 10.0): 0.00827114684686, (15.0, 15.0): 0.00498632600816, (13.0, 11.0): 0.00663838660838, (18.0, 13.0): 0.00643491650879, (18.0, 24.0): 0.00788950451593, (8.0, 11.0): 0.00504184814197, (9.0, 10.0): 0.00837692482373, (19.0, 20.0): 0.0076945144075, (17.0, 4.0): 0.00837987692302, (14.0, 11.0): 0.00667797929303, (18.0, 3.0): 0.00504278560139, (17.0, 9.0): 0.00855419865169, (18.0, 14.0): 0.00684594717006, (8.0, 8.0): 0.00668995908594, (9.0, 5.0): 0.00835775692394, (11.0, 6.0): 0.00824865249527, }, ]
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+150 Stop [{(16.0, 6.0): 0.00852103287234, (11.0, 11.0): 0.0067665681387, (17.0, 7.0): 0.00858098182398, (16.0, 9.0): 0.00865340719507, (14.0, 4.0): 0.00844867681546, (13.0, 4.0): 0.0084328302692, (20.0, 20.0): 0.00742224360948, (18.0, 4.0): 0.00679664923463, (18.0, 19.0): 0.00726042479162, (8.0, 5.0): 0.00671146228371, (10.0, 8.0): 0.00841990542359, (11.0, 5.0): 0.00841041630712, (10.0, 7.0): 0.00841234330923, (16.0, 3.0): 0.00677661908917, (12.0, 6.0): 0.00843433407698, (16.0, 22.0): 0.007571746438, (13.0, 7.0): 0.00847029246883, (18.0, 9.0): 0.00700338117153, (15.0, 4.0): 0.00846437202878, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00478928191945, (9.0, 3.0): 0.00671057807652, (19.0, 24.0): 0.00762386822499, (12.0, 11.0): 0.00679107232544, (13.0, 10.0): 0.00852083648739, (18.0, 10.0): 0.00711379718536, (17.0, 18.0): 0.00715881392723, (9.0, 9.0): 0.00841494145616, (16.0, 18.0): 0.00717672774975, (11.0, 8.0): 0.00843671388472, (14.0, 8.0): 0.00852241165596, (21.0, 24.0): 0.00509496465412, (20.0, 16.0): 0.00682218164429, (17.0, 8.0): 0.00863760880359, (18.0, 15.0): 0.0087363019475, (8.0, 9.0): 0.00672760736167, (9.0, 4.0): 0.0083892959895, (10.0, 3.0): 0.00671540452621, (16.0, 7.0): 0.00855637995056, (11.0, 10.0): 0.00845356611043, (17.0, 6.0): 0.00853854422614, (16.0, 10.0): 0.00870819795945, (14.0, 5.0): 0.00845973570807, (13.0, 3.0): 0.0067432125459, (18.0, 5.0): 0.00681299559267, (17.0, 11.0): 0.0071128324495, (18.0, 16.0): 0.00903457140872, (8.0, 6.0): 0.00671484213822, (10.0, 9.0): 0.00842703968555, (9.0, 7.0): 0.00840291771443, (11.0, 4.0): 0.0084054679537, (10.0, 4.0): 0.00839569684314, (16.0, 4.0): 0.00847844715227, (12.0, 7.0): 0.00844638123248, (11.0, 9.0): 0.00844602448031, (15.0, 10.0): 0.00863148154141, (14.0, 6.0): 0.0084763880927, (13.0, 6.0): 0.0084541966299, (18.0, 6.0): 0.00683912571007, (17.0, 22.0): 0.00755755871169, (15.0, 7.0): 0.00852733407085, (18.0, 21.0): 0.00746222845009, (8.0, 3.0): 0.00503141634126, (10.0, 10.0): 0.0084328218403, (11.0, 3.0): 0.00672276455852, (12.0, 4.0): 0.00841809368414, (15.0, 9.0): 0.00859733067412, (14.0, 3.0): 0.0067549211587, (13.0, 9.0): 0.00850600229536, (12.0, 8.0): 0.00845953805259, (18.0, 11.0): 0.00729823466786, (18.0, 22.0): 0.0100463515507, (9.0, 8.0): 0.00840910961908, (14.0, 9.0): 0.00854772347272, (12.0, 9.0): 0.00847221631742, (17.0, 15.0): 0.00657787464453, (21.0, 20.0): 0.00495244273676, (18.0, 12.0): 0.00574985590811, (15.0, 11.0): 0.00692343318221, (8.0, 10.0): 0.006731024783, (9.0, 11.0): 0.00673822685181, (12.0, 3.0): 0.0067322333154, (17.0, 5.0): 0.00850842804161, (16.0, 11.0): 0.00700046662233, (14.0, 10.0): 0.00856979944971, (17.0, 10.0): 0.00880011295345, (15.0, 3.0): 0.006766409964, (18.0, 17.0): 0.0069582019193, (8.0, 7.0): 0.00671899779493, (9.0, 6.0): 0.00839711577123, (11.0, 7.0): 0.0084269104361, (10.0, 5.0): 0.00839951453848, (16.0, 5.0): 0.0084951238639, (20.0, 24.0): 0.00763715093892, (19.0, 16.0): 0.00680423949066, (16.0, 8.0): 0.00860100531269, (14.0, 7.0): 0.00849778487842, (13.0, 5.0): 0.00844140207286, (18.0, 20.0): 0.00984072140173, (18.0, 7.0): 0.00687679817422, (15.0, 6.0): 0.00849938636459, (18.0, 18.0): 0.00950715415576, (8.0, 4.0): 0.00670926978574, (10.0, 11.0): 0.00674918515296, (13.0, 8.0): 0.00848825262273, (10.0, 6.0): 0.00840527583107, (15.0, 22.0): 0.00505160539977, (12.0, 5.0): 0.00842461906256, (17.0, 3.0): 0.00678449358805, (15.0, 8.0): 0.0085608614646, (21.0, 16.0): 0.00455294262511, (18.0, 8.0): 0.00692932933674, (15.0, 5.0): 0.00847822808194, (18.0, 23.0): 0.00757286421643, (16.0, 15.0): 0.00659416244493, (12.0, 10.0): 0.0084825750348, (15.0, 15.0): 0.00440049020691, (13.0, 11.0): 0.00682384449216, (18.0, 13.0): 0.00602302288257, (18.0, 24.0): 0.00760249383278, (8.0, 11.0): 0.00504996623414, (9.0, 10.0): 0.0084196921509, (19.0, 20.0): 0.00740619751194, (17.0, 4.0): 0.00848937138425, (14.0, 11.0): 0.00686681430059, (18.0, 3.0): 0.00509186703196, (17.0, 9.0): 0.0087106252386, (18.0, 14.0): 0.00629112799686, (8.0, 8.0): 0.00672343088345, (9.0, 5.0): 0.00839238963496, (11.0, 6.0): 0.00841781245927, }, ]
+151 None [{(16.0, 6.0): 0.00852103287234, (11.0, 11.0): 0.0067665681387, (17.0, 7.0): 0.00858098182398, (16.0, 9.0): 0.00865340719507, (14.0, 4.0): 0.00844867681546, (13.0, 4.0): 0.0084328302692, (20.0, 20.0): 0.00742224360948, (18.0, 4.0): 0.00679664923463, (18.0, 19.0): 0.00726042479162, (8.0, 5.0): 0.00671146228371, (10.0, 8.0): 0.00841990542359, (11.0, 5.0): 0.00841041630712, (10.0, 7.0): 0.00841234330923, (16.0, 3.0): 0.00677661908917, (12.0, 6.0): 0.00843433407698, (16.0, 22.0): 0.007571746438, (13.0, 7.0): 0.00847029246883, (18.0, 9.0): 0.00700338117153, (15.0, 4.0): 0.00846437202878, (1, 1): 0.00763358778626, (15.0, 18.0): 0.00478928191945, (9.0, 3.0): 0.00671057807652, (19.0, 24.0): 0.00762386822499, (12.0, 11.0): 0.00679107232544, (13.0, 10.0): 0.00852083648739, (18.0, 10.0): 0.00711379718536, (17.0, 18.0): 0.00715881392723, (9.0, 9.0): 0.00841494145616, (16.0, 18.0): 0.00717672774975, (11.0, 8.0): 0.00843671388472, (14.0, 8.0): 0.00852241165596, (21.0, 24.0): 0.00509496465412, (20.0, 16.0): 0.00682218164429, (17.0, 8.0): 0.00863760880359, (18.0, 15.0): 0.0087363019475, (8.0, 9.0): 0.00672760736167, (9.0, 4.0): 0.0083892959895, (10.0, 3.0): 0.00671540452621, (16.0, 7.0): 0.00855637995056, (11.0, 10.0): 0.00845356611043, (17.0, 6.0): 0.00853854422614, (16.0, 10.0): 0.00870819795945, (14.0, 5.0): 0.00845973570807, (13.0, 3.0): 0.0067432125459, (18.0, 5.0): 0.00681299559267, (17.0, 11.0): 0.0071128324495, (18.0, 16.0): 0.00903457140872, (8.0, 6.0): 0.00671484213822, (10.0, 9.0): 0.00842703968555, (9.0, 7.0): 0.00840291771443, (11.0, 4.0): 0.0084054679537, (10.0, 4.0): 0.00839569684314, (16.0, 4.0): 0.00847844715227, (12.0, 7.0): 0.00844638123248, (11.0, 9.0): 0.00844602448031, (15.0, 10.0): 0.00863148154141, (14.0, 6.0): 0.0084763880927, (13.0, 6.0): 0.0084541966299, (18.0, 6.0): 0.00683912571007, (17.0, 22.0): 0.00755755871169, (15.0, 7.0): 0.00852733407085, (18.0, 21.0): 0.00746222845009, (8.0, 3.0): 0.00503141634126, (10.0, 10.0): 0.0084328218403, (11.0, 3.0): 0.00672276455852, (12.0, 4.0): 0.00841809368414, (15.0, 9.0): 0.00859733067412, (14.0, 3.0): 0.0067549211587, (13.0, 9.0): 0.00850600229536, (12.0, 8.0): 0.00845953805259, (18.0, 11.0): 0.00729823466786, (18.0, 22.0): 0.0100463515507, (9.0, 8.0): 0.00840910961908, (14.0, 9.0): 0.00854772347272, (12.0, 9.0): 0.00847221631742, (17.0, 15.0): 0.00657787464453, (21.0, 20.0): 0.00495244273676, (18.0, 12.0): 0.00574985590811, (15.0, 11.0): 0.00692343318221, (8.0, 10.0): 0.006731024783, (9.0, 11.0): 0.00673822685181, (12.0, 3.0): 0.0067322333154, (17.0, 5.0): 0.00850842804161, (16.0, 11.0): 0.00700046662233, (14.0, 10.0): 0.00856979944971, (17.0, 10.0): 0.00880011295345, (15.0, 3.0): 0.006766409964, (18.0, 17.0): 0.0069582019193, (8.0, 7.0): 0.00671899779493, (9.0, 6.0): 0.00839711577123, (11.0, 7.0): 0.0084269104361, (10.0, 5.0): 0.00839951453848, (16.0, 5.0): 0.0084951238639, (20.0, 24.0): 0.00763715093892, (19.0, 16.0): 0.00680423949066, (16.0, 8.0): 0.00860100531269, (14.0, 7.0): 0.00849778487842, (13.0, 5.0): 0.00844140207286, (18.0, 20.0): 0.00984072140173, (18.0, 7.0): 0.00687679817422, (15.0, 6.0): 0.00849938636459, (18.0, 18.0): 0.00950715415576, (8.0, 4.0): 0.00670926978574, (10.0, 11.0): 0.00674918515296, (13.0, 8.0): 0.00848825262273, (10.0, 6.0): 0.00840527583107, (15.0, 22.0): 0.00505160539977, (12.0, 5.0): 0.00842461906256, (17.0, 3.0): 0.00678449358805, (15.0, 8.0): 0.0085608614646, (21.0, 16.0): 0.00455294262511, (18.0, 8.0): 0.00692932933674, (15.0, 5.0): 0.00847822808194, (18.0, 23.0): 0.00757286421643, (16.0, 15.0): 0.00659416244493, (12.0, 10.0): 0.0084825750348, (15.0, 15.0): 0.00440049020691, (13.0, 11.0): 0.00682384449216, (18.0, 13.0): 0.00602302288257, (18.0, 24.0): 0.00760249383278, (8.0, 11.0): 0.00504996623414, (9.0, 10.0): 0.0084196921509, (19.0, 20.0): 0.00740619751194, (17.0, 4.0): 0.00848937138425, (14.0, 11.0): 0.00686681430059, (18.0, 3.0): 0.00509186703196, (17.0, 9.0): 0.0087106252386, (18.0, 14.0): 0.00629112799686, (8.0, 8.0): 0.00672343088345, (9.0, 5.0): 0.00839238963496, (11.0, 6.0): 0.00841781245927, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/4-ParticlePredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/4-ParticlePredict.test
new file mode 100644
index 0000000..347afcf
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/4-ParticlePredict.test	
@@ -0,0 +1,46 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%%    %
+%%%%%%%%%%%%%%%    %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%%%%%%%%%%% %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%   G       %%%%
+%%%%%%%%           %%%%
+%%P%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%           %%%%
+%%%%%%%%%%%%%%%%%%%%%%%
+% %%%%%%%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "150"
+
+numGhosts: "1"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/5-ParticlePredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/5-ParticlePredict.solution
new file mode 100644
index 0000000..3e152b2
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/5-ParticlePredict.solution	
@@ -0,0 +1,105 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(7, 3): 0.0077519379845, (6, 9): 0.0077519379845, (11, 11): 0.0077519379845, (7, 12): 0.0077519379845, (13, 4): 0.0077519379845, (1, 6): 0.0077519379845, (3, 7): 0.0077519379845, (1, 11): 0.0077519379845, (8, 5): 0.0077519379845, (5, 8): 0.0077519379845, (10, 8): 0.0077519379845, (6, 7): 0.0077519379845, (5, 5): 0.0077519379845, (11, 5): 0.0077519379845, (10, 7): 0.0077519379845, (7, 6): 0.0077519379845, (6, 10): 0.0077519379845, (13, 7): 0.0077519379845, (8, 15): 0.0077519379845, (4, 10): 0.0077519379845, (5, 11): 0.0077519379845, (4, 5): 0.0077519379845, (10, 13): 0.0077519379845, (9, 3): 0.0077519379845, (7, 5): 0.0077519379845, (13, 10): 0.0077519379845, (3, 12): 0.0077519379845, (1, 12): 0.0077519379845, (8, 12): 0.0077519379845, (4, 15): 0.0077519379845, (9, 9): 0.0077519379845, (6, 13): 0.0077519379845, (11, 15): 0.0077519379845, (7, 8): 0.0077519379845, (13, 13): 0.0077519379845, (3, 11): 0.0077519379845, (1, 15): 0.0077519379845, (8, 9): 0.0077519379845, (4, 12): 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(13, 8): 0.0077519379845, (4, 9): 0.0077519379845, (3, 3): 0.0077519379845, (9, 15): 0.0077519379845, (5, 12): 0.0077519379845, (10, 12): 0.0077519379845, (6, 3): 0.0077519379845, (7, 10): 0.0077519379845, (13, 11): 0.0077519379845, (3, 13): 0.0077519379845, (1, 13): 0.0077519379845, (8, 11): 0.0077519379845, (9, 10): 0.0077519379845, (5, 15): 0.0077519379845, (6, 12): 0.0077519379845, (11, 12): 0.0077519379845, (7, 9): 0.0077519379845, (12, 15): 0.0077519379845, (13, 14): 0.0077519379845, (3, 8): 0.0077519379845, (1, 8): 0.0077519379845, (8, 8): 0.0077519379845, (4, 3): 0.0077519379845, (2, 15): 0.0077519379845, (9, 5): 0.0077519379845, (11, 6): 0.0077519379845, }, ]
+1 Stop [{(7, 3): 0.0122793553338, (6, 9): 0.000575594781274, (11, 11): 0.0122793553338, (7, 12): 0.00153491941673, (13, 4): 0.00153491941673, (1, 6): 0.00613967766692, (3, 7): 0.0122793553338, (1, 11): 0.0122793553338, (8, 5): 0.00613967766692, (5, 8): 0.00153491941673, (10, 8): 0.00306983883346, (6, 7): 0.00153491941673, (5, 5): 0.0122793553338, (11, 5): 0.0122793553338, (10, 7): 0.00613967766692, (7, 6): 0.00153491941673, (6, 10): 0.000767459708365, (13, 7): 0.0122793553338, (1, 1): 0.0, (8, 15): 0.0245587106677, (4, 10): 0.00306983883346, (5, 11): 0.00306983883346, (4, 5): 0.0245587106677, (10, 13): 0.0245587106677, (9, 3): 0.0122793553338, (7, 5): 0.00306983883346, (13, 10): 0.0245587106677, (3, 12): 0.0245587106677, (1, 12): 0.00613967766692, (8, 12): 0.00306983883346, (4, 15): 0.00613967766692, (9, 9): 0.000767459708365, (6, 13): 0.00613967766692, (11, 15): 0.00306983883346, (7, 8): 0.000575594781274, (13, 13): 0.00306983883346, (3, 11): 0.0122793553338, (1, 15): 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11): 0.0122793553338, (3, 13): 0.0122793553338, (1, 13): 0.00306983883346, (8, 11): 0.00153491941673, (9, 10): 0.00153491941673, (5, 15): 0.0122793553338, (6, 12): 0.00306983883346, (11, 12): 0.0245587106677, (7, 9): 0.0, (12, 15): 0.00153491941673, (13, 14): 0.00153491941673, (3, 8): 0.00613967766692, (1, 8): 0.0245587106677, (8, 8): 0.000767459708365, (4, 3): 0.00613967766692, (2, 15): 0.00153491941673, (9, 5): 0.0122793553338, (11, 6): 0.0245587106677, }, {(7.0, 3.0): 0.00729992724406, (6.0, 9.0): 0.000138698617637, (11.0, 11.0): 0.00693493088186, (7.0, 12.0): 0.000958115450783, (13.0, 4.0): 0.00364996362203, (1.0, 6.0): 0.0145998544881, (3.0, 7.0): 0.00693493088186, (1.0, 11.0): 0.0291997089762, (8.0, 5.0): 0.00346746544093, (5.0, 8.0): 0.000912490905507, (10.0, 8.0): 0.00191623090157, (6.0, 7.0): 0.000912490905507, (5.0, 5.0): 0.00693493088186, (11.0, 5.0): 0.0243330908135, (10.0, 7.0): 0.00383246180313, (7.0, 6.0): 0.000958115450783, (6.0, 10.0): 0.000419745816533, (13.0, 7.0): 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+2 East [{(7.0, 3.0): 0.0194191536939, (6.0, 9.0): 1.9661893115e-05, (11.0, 11.0): 0.0113602049109, (7.0, 12.0): 0.000291287305408, (13.0, 4.0): 0.000212396993527, (1.0, 6.0): 0.00339835189643, (3.0, 7.0): 0.0113602049109, (1.0, 11.0): 0.0135934075857, (8.0, 5.0): 0.00284005122773, (5.0, 8.0): 0.000218465479056, (10.0, 8.0): 0.000946683742576, (6.0, 7.0): 0.000218465479056, (5.0, 5.0): 0.0113602049109, (11.0, 5.0): 0.0155353229551, (10.0, 7.0): 0.0037867349703, (7.0, 6.0): 0.000291287305408, (6.0, 10.0): 5.64369154228e-05, (13.0, 7.0): 0.0135934075857, (1, 1): 0.0, (8.0, 15.0): 0.0310706459102, (4.0, 10.0): 0.000946683742576, (5.0, 11.0): 0.000873861916224, (4.0, 5.0): 0.0299054966885, (10.0, 13.0): 0.0299054966885, (9.0, 3.0): 0.0135934075857, (7.0, 5.0): 0.000983094655752, (13.0, 10.0): 0.0310706459102, (3.0, 12.0): 0.0299054966885, (1.0, 12.0): 0.00339835189643, (8.0, 12.0): 0.000946683742576, (4.0, 15.0): 0.00339835189643, (9.0, 9.0): 6.91807350344e-05, (6.0, 13.0): 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+11 South [{(7.0, 3.0): 0.00591278961551, (6.0, 9.0): 0.0, (11.0, 11.0): 0.0, (7.0, 12.0): 0.0, (13.0, 4.0): 0.00648195401339, (1.0, 6.0): 0.182086163705, (3.0, 7.0): 0.00321788411175, (1.0, 11.0): 9.5359310892e-05, (8.0, 5.0): 2.13265867694e-07, (5.0, 8.0): 9.96379748231e-07, (10.0, 8.0): 0.0, (6.0, 7.0): 9.96086049385e-07, (5.0, 5.0): 0.00321765008555, (11.0, 5.0): 2.43377387105e-07, (10.0, 7.0): 0.0, (7.0, 6.0): 6.46381921346e-07, (6.0, 10.0): 0.0, (13.0, 7.0): 1.58125883376e-05, (1, 1): 0.0, (8.0, 15.0): 2.53654458633e-11, (4.0, 10.0): 1.39188294142e-08, (5.0, 11.0): 0.0, (4.0, 5.0): 0.0241480772908, (10.0, 13.0): 0.0, (9.0, 3.0): 5.3642941836e-05, (7.0, 5.0): 7.75805583443e-06, (13.0, 10.0): 0.0, (3.0, 12.0): 1.20025895076e-09, (1.0, 12.0): 5.79280954481e-05, (8.0, 12.0): 0.0, (4.0, 15.0): 3.88173840433e-05, (9.0, 9.0): 0.0, (6.0, 13.0): 1.80674709285e-12, (11.0, 15.0): 4.02234124772e-10, (7.0, 8.0): 0.0, (13.0, 13.0): 4.02565999236e-10, (3.0, 11.0): 1.66133980475e-08, (1.0, 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+12 East [{(7.0, 3.0): 0.00160820343294, (6.0, 9.0): 0.0, (11.0, 11.0): 0.0, (7.0, 12.0): 0.0, (13.0, 4.0): 0.00191850816026, (1.0, 6.0): 0.11086048783, (3.0, 7.0): 0.000858488715998, (1.0, 11.0): 9.28223421852e-05, (8.0, 5.0): 0.0, (5.0, 8.0): 0.0, (10.0, 8.0): 0.0, (6.0, 7.0): 0.0, (5.0, 5.0): 0.000858466254517, (11.0, 5.0): 4.11028214401e-09, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 0.0, (13.0, 7.0): 1.67280400582e-06, (1, 1): 0.0, (8.0, 15.0): 2.93036970796e-11, (4.0, 10.0): 5.64576021082e-09, (5.0, 11.0): 4.81588652023e-12, (4.0, 5.0): 0.00651542856337, (10.0, 13.0): 0.0, (9.0, 3.0): 8.04892188423e-06, (7.0, 5.0): 1.67148365225e-06, (13.0, 10.0): 0.0, (3.0, 12.0): 1.1618362262e-09, (1.0, 12.0): 0.00021828803035, (8.0, 12.0): 0.0, (4.0, 15.0): 0.00017674427922, (9.0, 9.0): 0.0, (6.0, 13.0): 5.36859926199e-13, (11.0, 15.0): 1.24563089771e-10, (7.0, 8.0): 0.0, (13.0, 13.0): 1.24606070151e-10, (3.0, 11.0): 6.94371498252e-09, (1.0, 15.0): 0.00524590717614, (8.0, 9.0): 0.0, (4.0, 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+59 East [{(7.0, 3.0): 0.0, (6.0, 9.0): 1.18309743554e-11, (11.0, 11.0): 0.0, (7.0, 12.0): 2.55996912701e-11, (13.0, 4.0): 0.0, (1.0, 6.0): 0.134861641972, (3.0, 7.0): 7.14919592633e-12, (1.0, 11.0): 0.000736679803839, (8.0, 5.0): 0.0, (5.0, 8.0): 9.53842995395e-12, (10.0, 8.0): 0.0, (6.0, 7.0): 0.0, (5.0, 5.0): 0.0, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 2.92173870753e-11, (13.0, 7.0): 0.0, (1, 1): 0.0, (8.0, 15.0): 0.000157498290653, (4.0, 10.0): 3.62190136945e-11, (5.0, 11.0): 3.77604636708e-11, (4.0, 5.0): 1.08893857983e-13, (10.0, 13.0): 1.75660784641e-12, (9.0, 3.0): 0.0, (7.0, 5.0): 0.0, (13.0, 10.0): 2.9231119323e-06, (3.0, 12.0): 4.33058655846e-12, (1.0, 12.0): 0.0, (8.0, 12.0): 1.58779561648e-11, (4.0, 15.0): 0.0, (9.0, 9.0): 0.0, (6.0, 13.0): 1.52719412855e-11, (11.0, 15.0): 0.000151317223702, (7.0, 8.0): 0.0, (13.0, 13.0): 1.3303502128e-05, (3.0, 11.0): 1.08706377225e-11, (1.0, 15.0): 0.0, (8.0, 9.0): 0.0, (4.0, 12.0): 1.26031502373e-11, (10.0, 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+79 South [{(7.0, 3.0): 0.058501221568, (6.0, 9.0): 8.92526212666e-11, (11.0, 11.0): 4.06635901224e-11, (7.0, 12.0): 1.39593026796e-11, (13.0, 4.0): 0.0545346042627, (1.0, 6.0): 0.0, (3.0, 7.0): 7.97989659136e-12, (1.0, 11.0): 0.0, (8.0, 5.0): 3.75658307687e-12, (5.0, 8.0): 7.35836299124e-11, (10.0, 8.0): 6.59093174108e-14, (6.0, 7.0): 8.16946192266e-11, (5.0, 5.0): 3.79963025962e-12, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (7.0, 6.0): 1.11537161211e-11, (6.0, 10.0): 3.78012995242e-11, (13.0, 7.0): 5.7914393357e-05, (1, 1): 0.0, (8.0, 15.0): 9.0658342839e-11, (4.0, 10.0): 2.72714423781e-12, (5.0, 11.0): 2.73138570549e-12, (4.0, 5.0): 1.59934427064e-12, (10.0, 13.0): 8.76078099034e-11, (9.0, 3.0): 0.182208007092, (7.0, 5.0): 6.00612413519e-12, (13.0, 10.0): 3.82460379609e-06, (3.0, 12.0): 0.0, (1.0, 12.0): 0.0, (8.0, 12.0): 3.05256545243e-11, (4.0, 15.0): 0.0, (9.0, 9.0): 8.2645954653e-12, (6.0, 13.0): 3.13512058975e-13, (11.0, 15.0): 5.78688285149e-10, (7.0, 8.0): 8.94845478945e-11, (13.0, 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+101 None [{(7.0, 3.0): 0.0286687378361, (6.0, 9.0): 5.55541341994e-17, (11.0, 11.0): 3.3358262271e-16, (7.0, 12.0): 0.0, (13.0, 4.0): 0.00240944115564, (1.0, 6.0): 0.0, (3.0, 7.0): 0.0, (1.0, 11.0): 0.0, (8.0, 5.0): 2.41108070305e-12, (5.0, 8.0): 7.51632399498e-17, (10.0, 8.0): 6.20446411977e-13, (6.0, 7.0): 1.4002565376e-13, (5.0, 5.0): 4.19365705336e-13, (11.0, 5.0): 1.57670441229e-12, (10.0, 7.0): 1.27161778777e-12, (7.0, 6.0): 9.20871905556e-13, (6.0, 10.0): 0.0, (13.0, 7.0): 9.38273143935e-05, (1, 1): 0.0, (8.0, 15.0): 0.0, (4.0, 10.0): 0.0, (5.0, 11.0): 0.0, (4.0, 5.0): 1.52919746007e-14, (10.0, 13.0): 6.9617516612e-19, (9.0, 3.0): 0.302601618338, (7.0, 5.0): 4.59269213895e-12, (13.0, 10.0): 9.89380005426e-09, (3.0, 12.0): 0.0, (1.0, 12.0): 0.0, (8.0, 12.0): 0.0, (4.0, 15.0): 0.0, (9.0, 9.0): 2.1029989539e-13, (6.0, 13.0): 0.0, (11.0, 15.0): 0.0, (7.0, 8.0): 9.69075100232e-14, (13.0, 13.0): 0.0, (3.0, 11.0): 0.0, (1.0, 15.0): 0.0, (8.0, 9.0): 6.52871972005e-14, (4.0, 12.0): 0.0, (10.0, 3.0): 0.248833288602, (11.0, 10.0): 8.78396108547e-15, (7.0, 15.0): 0.0, (13.0, 3.0): 0.00160714447856, (1.0, 5.0): 0.0, (3.0, 6.0): 6.52642870697e-17, (1.0, 10.0): 0.0, (8.0, 6.0): 1.1115322231e-12, (10.0, 9.0): 1.24168327774e-13, (9.0, 7.0): 9.95721352535e-13, (6.0, 11.0): 0.0, (11.0, 9.0): 5.02811433925e-14, (13.0, 6.0): 0.000344597192709, (4.0, 11.0): 0.0, (3.0, 5.0): 4.47152021491e-16, (9.0, 13.0): 0.0, (8.0, 3.0): 0.185500163429, (5.0, 10.0): 0.0, (4.0, 6.0): 4.92559858062e-15, (10.0, 10.0): 2.81496403454e-14, (5.0, 7.0): 6.31070885182e-15, (11.0, 3.0): 0.180598345474, (13.0, 9.0): 5.23764869196e-07, (3.0, 15.0): 0.0, (1.0, 3.0): 0.0, (8.0, 13.0): 0.0, (4.0, 8.0): 0.0, (9.0, 8.0): 3.92351403332e-13, (5.0, 13.0): 0.0, (10.0, 15.0): 0.0, (7.0, 11.0): 0.0, (13.0, 12.0): 0.0, (3.0, 10.0): 0.0, (1.0, 14.0): 0.0, (8.0, 10.0): 2.43769392067e-15, (4.0, 13.0): 0.0, (9.0, 11.0): 1.02722053547e-15, (6.0, 15.0): 0.0, (12.0, 3.0): 0.0459427586096, (11.0, 13.0): 0.0, (13.0, 15.0): 0.0, (1.0, 4.0): 0.0, (3.0, 9.0): 0.0, (2.0, 3.0): 0.0, (1.0, 9.0): 0.0, (8.0, 7.0): 5.9684635195e-13, (9.0, 6.0): 1.01418766548e-12, (6.0, 5.0): 2.88644899128e-12, (5.0, 3.0): 3.96923218891e-05, (11.0, 7.0): 6.75039139546e-13, (10.0, 5.0): 0.0, (6.0, 8.0): 5.29303851969e-15, (11.0, 8.0): 1.46205146024e-13, (7.0, 13.0): 0.0, (13.0, 5.0): 0.00204613885403, (1.0, 7.0): 0.0, (9.0, 12.0): 1.08153242631e-17, (5.0, 9.0): 0.0, (4.0, 7.0): 8.15485878895e-17, (10.0, 11.0): 3.22467822608e-15, (6.0, 6.0): 8.17132399193e-13, (5.0, 6.0): 1.40376376967e-13, (10.0, 6.0): 0.0, (7.0, 7.0): 6.75206329614e-13, (13.0, 8.0): 1.52001804418e-05, (4.0, 9.0): 0.0, (3.0, 3.0): 0.0, (9.0, 15.0): 0.0, (5.0, 12.0): 0.0, (10.0, 12.0): 8.14838221441e-17, (6.0, 3.0): 0.0012981195051, (7.0, 10.0): 4.10172152022e-17, (13.0, 11.0): 0.0, (3.0, 13.0): 0.0, (1.0, 13.0): 0.0, (8.0, 11.0): 2.77974260565e-17, (9.0, 10.0): 3.12873114105e-14, (5.0, 15.0): 0.0, (6.0, 12.0): 0.0, (11.0, 12.0): 5.28308805955e-18, (7.0, 9.0): 3.66128960067e-15, (12.0, 15.0): 0.0, (13.0, 14.0): 0.0, (3.0, 8.0): 0.0, (1.0, 8.0): 0.0, (8.0, 8.0): 4.33143152176e-13, (4.0, 3.0): 3.93024418072e-07, (2.0, 15.0): 0.0, (9.0, 5.0): 2.07241215126e-12, (11.0, 6.0): 7.80047473803e-13, }, {(7.0, 3.0): 0.0, (6.0, 9.0): 5.67659908473e-05, (11.0, 11.0): 4.78643558066e-09, (7.0, 12.0): 0.00476740453455, (13.0, 4.0): 0.0, (1.0, 6.0): 4.00097900119e-05, (3.0, 7.0): 0.00019012380619, (1.0, 11.0): 0.0, (8.0, 5.0): 0.0, (5.0, 8.0): 4.20717375952e-05, (10.0, 8.0): 0.0, (6.0, 7.0): 1.060614653e-08, (5.0, 5.0): 0.0, (11.0, 5.0): 0.0, (10.0, 7.0): 0.0, (7.0, 6.0): 0.0, (6.0, 10.0): 0.00121520318995, (13.0, 7.0): 0.0, (8.0, 15.0): 0.0888661244036, (4.0, 10.0): 0.0332668037259, (5.0, 11.0): 0.0389524070792, (4.0, 5.0): 2.79394805496e-09, (10.0, 13.0): 6.98862812233e-06, (9.0, 3.0): 0.0, (7.0, 5.0): 0.0, (13.0, 10.0): 2.00906851621e-06, (3.0, 12.0): 0.0202231123944, (1.0, 12.0): 0.0, (8.0, 12.0): 0.000614251780644, (4.0, 15.0): 0.0, (3, 1): 0.0, (9.0, 9.0): 0.0, (6.0, 13.0): 0.047063133504, (11.0, 15.0): 0.00629503277983, (7.0, 8.0): 1.39122719591e-08, (13.0, 13.0): 0.00160077565596, (3.0, 11.0): 0.0785701227978, (1.0, 15.0): 0.0, (8.0, 9.0): 1.39119267394e-08, (4.0, 12.0): 0.100366521406, (10.0, 3.0): 0.0, (11.0, 10.0): 6.06961422964e-12, (7.0, 15.0): 0.103076010667, (13.0, 3.0): 0.0, (1.0, 5.0): 1.33146711927e-06, (3.0, 6.0): 6.39404678146e-06, (1.0, 10.0): 0.000116566274641, (8.0, 6.0): 0.0, (10.0, 9.0): 0.0, (9.0, 7.0): 0.0, (6.0, 11.0): 0.00652057111665, (11.0, 9.0): 0.0, (13.0, 6.0): 0.0, (4.0, 11.0): 0.0824759948508, (3.0, 5.0): 4.37622594474e-08, (9.0, 13.0): 0.000190625680951, (8.0, 3.0): 0.0, (5.0, 10.0): 0.00652071041347, (4.0, 6.0): 6.61636128413e-07, (10.0, 10.0): 0.0, (5.0, 7.0): 1.43112981748e-06, (11.0, 3.0): 0.0, (13.0, 9.0): 6.94210895599e-08, (3.0, 15.0): 0.0, (1.0, 3.0): 2.69153086294e-08, (8.0, 13.0): 0.00177650892945, (4.0, 8.0): 0.0006142907744, (9.0, 8.0): 0.0, (5.0, 13.0): 0.0785673584467, (10.0, 15.0): 0.0109692624727, (7.0, 11.0): 0.00103321518434, (13.0, 12.0): 0.000640965033217, (3.0, 10.0): 0.0470653051194, (1.0, 14.0): 0.0, (8.0, 10.0): 2.23969965673e-06, (4.0, 13.0): 0.0202226800247, (9.0, 11.0): 1.43169702089e-06, (6.0, 15.0): 0.0194049460482, (12.0, 3.0): 0.0, (11.0, 13.0): 7.51025339459e-07, (13.0, 15.0): 0.00271982830488, (1.0, 4.0): 8.93113541713e-08, (3.0, 9.0): 0.0143709363469, (2.0, 3.0): 1.34834720966e-08, (1.0, 9.0): 0.000618819401652, (8.0, 7.0): 0.0, (9.0, 6.0): 0.0, (6.0, 5.0): 0.0, (5.0, 3.0): 2.40697664925e-11, (11.0, 7.0): 0.0, (10.0, 5.0): 0.0, (6.0, 8.0): 2.23979392087e-06, (11.0, 8.0): 0.0, (7.0, 13.0): 0.0143701652671, (13.0, 5.0): 0.0, (1.0, 7.0): 0.00020416919481, (9.0, 12.0): 2.22733358583e-05, (5.0, 9.0): 0.00103325339119, (4.0, 7.0): 2.22523215153e-05, (10.0, 11.0): 1.1991668376e-08, (6.0, 6.0): 0.0, (5.0, 6.0): 6.07929181699e-09, (10.0, 6.0): 0.0, (7.0, 7.0): 0.0, (13.0, 8.0): 3.45496200292e-10, (4.0, 9.0): 0.00476766321424, (3.0, 3.0): 3.16247274727e-09, (9.0, 15.0): 0.0367716973066, (5.0, 12.0): 0.0824741479687, (10.0, 12.0): 1.20526526681e-06, (6.0, 3.0): 8.58467663481e-13, (7.0, 10.0): 5.67647298548e-05, (13.0, 11.0): 4.7164450943e-05, (3.0, 13.0): 0.0, (1.0, 13.0): 0.0, (8.0, 11.0): 4.20691638344e-05, (9.0, 10.0): 1.0606267222e-08, (5.0, 15.0): 0.0, (6.0, 12.0): 0.0332656069623, (11.0, 12.0): 9.38110313215e-08, (7.0, 9.0): 2.59324107828e-06, (12.0, 15.0): 0.00337963801333, (13.0, 14.0): 0.00216919642111, (3.0, 8.0): 0.00177663194199, (1.0, 8.0): 0.000533154662488, (8.0, 8.0): 0.0, (4.0, 3.0): 3.56782305723e-10, (2.0, 15.0): 0.0, (9.0, 5.0): 0.0, (11.0, 6.0): 0.0, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/5-ParticlePredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/5-ParticlePredict.test
new file mode 100644
index 0000000..5685c36
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/5-ParticlePredict.test	
@@ -0,0 +1,37 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%%%%%
+%      G      %
+% %%%%%%%%%%% %
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %    P    % %
+% %         % %
+% %         % %
+% %         % %
+% %         % %
+% %%%%%%%%%%% %
+%      G      %
+%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%
+%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "True"
+
+checkUniform: "False"
+maxMoves: "100"
+
+numGhosts: "2"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+L2Tolerance: "0.05"
+errorMsg: "Particle filter full test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/6-ParticlePredict.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/6-ParticlePredict.solution
new file mode 100644
index 0000000..c6313a9
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/6-ParticlePredict.solution	
@@ -0,0 +1 @@
+# You must win at least 4/10 games with at least 300 points
\ No newline at end of file
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/6-ParticlePredict.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/6-ParticlePredict.test
new file mode 100644
index 0000000..ffaa3bf
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/6-ParticlePredict.test	
@@ -0,0 +1,26 @@
+class: "GameScoreTest"
+
+numRuns: "5"
+numWinsForCredit: "4"
+layout_name: "smallHunt"
+min_score: "300"
+
+layout_str: """
+%%%%%%%%%%%%%%%%%%%%
+%P        G        %
+% %%%%% %%%%%% % % %
+%     G            %
+%                  %
+%%%%%%%%%%%%%%%%%%%%
+% % %%%%%%%%%%%%%%%%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+observe: "True"
+elapse: "True"
+maxMoves: "100"
+ghost: "SeededRandomGhostAgent"
+inference: "ParticleFilter"
+numGhosts: "2"
+
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q7/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/CONFIG
new file mode 100644
index 0000000..64a4dd7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q7/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q8/1-JointParticleInit.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q8/1-JointParticleInit.solution
new file mode 100644
index 0000000..9e9b0fb
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q8/1-JointParticleInit.solution	
@@ -0,0 +1,6 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.0912, (5, 6): 0.0908, (2, 8): 0.0906, (9, 8): 0.0906, (9, 3): 0.0906, (9, 9): 0.0912, (1, 4): 0.0912, (8, 9): 0.0906, (8, 8): 0.0914, (2, 3): 0.0908, (2, 4): 0.091, }, {(1, 3): 0.0908, (5, 6): 0.091, (2, 8): 0.0912, (9, 8): 0.091, (9, 3): 0.0912, (9, 9): 0.0908, (1, 4): 0.0906, (8, 9): 0.0908, (8, 8): 0.0912, (2, 3): 0.0904, (2, 4): 0.091, }, ]
+1 Stop [{(1, 3): 0.0912, (5, 6): 0.0908, (2, 8): 0.0906, (9, 8): 0.0906, (9, 3): 0.0906, (9, 9): 0.0912, (1, 4): 0.0912, (8, 9): 0.0906, (8, 8): 0.0914, (2, 3): 0.0908, (2, 4): 0.091, }, {(1, 3): 0.0908, (5, 6): 0.091, (2, 8): 0.0912, (9, 8): 0.091, (9, 3): 0.0912, (9, 9): 0.0908, (1, 4): 0.0906, (8, 9): 0.0908, (8, 8): 0.0912, (2, 3): 0.0904, (2, 4): 0.091, }, ]
+2 None [{(1, 3): 0.0912, (5, 6): 0.0908, (2, 8): 0.0906, (9, 8): 0.0906, (9, 3): 0.0906, (9, 9): 0.0912, (1, 4): 0.0912, (8, 9): 0.0906, (8, 8): 0.0914, (2, 3): 0.0908, (2, 4): 0.091, }, {(1, 3): 0.0908, (5, 6): 0.091, (2, 8): 0.0912, (9, 8): 0.091, (9, 3): 0.0912, (9, 9): 0.0908, (1, 4): 0.0906, (8, 9): 0.0908, (8, 8): 0.0912, (2, 3): 0.0904, (2, 4): 0.091, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q8/1-JointParticleInit.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q8/1-JointParticleInit.test
new file mode 100644
index 0000000..1febc35
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q8/1-JointParticleInit.test	
@@ -0,0 +1,30 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%%%%%%%%  %
+%%G%%%%%  %
+%%%%%%%%%%%
+%%%%%P%%%%%
+%%%%%%%%%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% % %%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "False"
+
+elapse: "False"
+
+checkUniform: "True"
+maxMoves: "1"
+
+numGhosts: "2"
+ghost: "DispersingSeededGhost"
+inference: "MarginalInference"
+L2Tolerance: "0.05"
+errorMsg: "Joint particle filter initialization test: %d inference errors."
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q8/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q8/CONFIG
new file mode 100644
index 0000000..2902cf5
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q8/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/1-JointParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/1-JointParticleUpdate.solution
new file mode 100644
index 0000000..289c1bf
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/1-JointParticleUpdate.solution	
@@ -0,0 +1,65 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.0912, (5, 6): 0.0908, (2, 8): 0.0906, (9, 8): 0.0906, (9, 3): 0.0906, (9, 9): 0.0912, (1, 4): 0.0912, (8, 9): 0.0906, (8, 8): 0.0914, (2, 3): 0.0908, (2, 4): 0.091, }, {(1, 3): 0.0908, (5, 6): 0.091, (2, 8): 0.0912, (9, 8): 0.091, (9, 3): 0.0912, (9, 9): 0.0908, (1, 4): 0.0906, (8, 9): 0.0908, (8, 8): 0.0912, (2, 3): 0.0904, (2, 4): 0.091, }, ]
+1 Stop [{(1, 3): 0.074, (2, 8): 0.0706, (9, 8): 0.1416, (9, 3): 0.0686, (9, 9): 0.072, (1, 4): 0.1456, (8, 9): 0.1474, (8, 8): 0.0708, (2, 3): 0.1394, (2, 4): 0.07, }, {(1, 3): 0.1796, (2, 8): 0.0402, (9, 8): 0.0848, (9, 3): 0.174, (9, 9): 0.1712, (1, 4): 0.0826, (8, 9): 0.0854, (8, 8): 0.0418, (2, 3): 0.0936, (2, 4): 0.0468, }, ]
+2 Stop [{(1, 3): 0.0334, (2, 8): 0.1172, (9, 8): 0.139, (9, 3): 0.0296, (9, 9): 0.0318, (1, 4): 0.13, (8, 9): 0.1402, (8, 8): 0.132, (2, 3): 0.1224, (2, 4): 0.1244, }, {(1, 3): 0.237, (2, 8): 0.0158, (9, 8): 0.0546, (9, 3): 0.25, (9, 9): 0.2282, (1, 4): 0.0554, (8, 9): 0.0576, (8, 8): 0.0174, (2, 3): 0.0704, (2, 4): 0.0136, }, ]
+3 Stop [{(1, 3): 0.013, (2, 8): 0.1706, (9, 8): 0.1086, (9, 3): 0.0118, (9, 9): 0.0116, (1, 4): 0.1002, (8, 9): 0.1028, (8, 8): 0.2016, (2, 3): 0.095, (2, 4): 0.1848, }, {(1, 3): 0.2818, (2, 8): 0.003, (9, 8): 0.0318, (9, 3): 0.2942, (9, 9): 0.2786, (1, 4): 0.0282, (8, 9): 0.0334, (8, 8): 0.0068, (2, 3): 0.039, (2, 4): 0.0032, }, ]
+4 Stop [{(1, 3): 0.0048, (2, 8): 0.223, (9, 8): 0.0648, (9, 3): 0.0046, (9, 9): 0.0044, (1, 4): 0.0662, (8, 9): 0.0644, (8, 8): 0.2616, (2, 3): 0.063, (2, 4): 0.2432, }, {(1, 3): 0.2954, (2, 8): 0.0008, (9, 8): 0.0154, (9, 3): 0.3124, (9, 9): 0.318, (1, 4): 0.0158, (8, 9): 0.0188, (8, 8): 0.0008, (2, 3): 0.0216, (2, 4): 0.001, }, ]
+5 Stop [{(1, 3): 0.0016, (2, 8): 0.1806, (9, 8): 0.106, (9, 3): 0.0026, (9, 9): 0.0028, (1, 4): 0.1048, (8, 9): 0.106, (8, 8): 0.2072, (2, 3): 0.1008, (2, 4): 0.1876, }, {(1, 3): 0.3056, (9, 8): 0.0078, (9, 3): 0.3358, (9, 9): 0.3206, (1, 4): 0.0084, (8, 9): 0.0098, (2, 3): 0.0118, (2, 4): 0.0002, }, ]
+6 Stop [{(1, 3): 0.0002, (2, 8): 0.2302, (9, 8): 0.0688, (9, 3): 0.0012, (9, 9): 0.0004, (1, 4): 0.0608, (8, 9): 0.0684, (8, 8): 0.2642, (2, 3): 0.0608, (2, 4): 0.245, }, {(1, 3): 0.282, (9, 8): 0.0148, (9, 3): 0.3084, (9, 9): 0.3324, (1, 4): 0.0142, (8, 9): 0.0208, (2, 3): 0.0274, }, ]
+7 Stop [{(1, 3): 0.0004, (2, 8): 0.1812, (9, 8): 0.113, (9, 3): 0.0014, (1, 4): 0.0966, (8, 9): 0.1012, (8, 8): 0.2054, (2, 3): 0.1032, (2, 4): 0.1976, }, {(1, 3): 0.2914, (9, 8): 0.0076, (9, 3): 0.335, (9, 9): 0.3348, (1, 4): 0.0082, (8, 9): 0.0084, (2, 3): 0.0146, }, ]
+8 Stop [{(2, 8): 0.2296, (9, 8): 0.0714, (9, 3): 0.0006, (1, 4): 0.0592, (8, 9): 0.0596, (8, 8): 0.2562, (2, 3): 0.0656, (2, 4): 0.2578, }, {(1, 3): 0.2828, (9, 8): 0.005, (9, 3): 0.3222, (9, 9): 0.3702, (1, 4): 0.0046, (8, 9): 0.0046, (2, 3): 0.0106, }, ]
+9 Stop [{(2, 8): 0.2674, (9, 8): 0.0398, (9, 3): 0.0006, (1, 4): 0.0314, (8, 9): 0.0376, (8, 8): 0.2932, (2, 3): 0.035, (2, 4): 0.295, }, {(1, 3): 0.2742, (9, 8): 0.0026, (9, 3): 0.3218, (9, 9): 0.3902, (1, 4): 0.0018, (8, 9): 0.0034, (2, 3): 0.006, }, ]
+10 Stop [{(2, 8): 0.287, (9, 8): 0.0214, (1, 4): 0.017, (8, 9): 0.024, (8, 8): 0.3176, (2, 3): 0.0178, (2, 4): 0.3152, }, {(1, 3): 0.2738, (9, 8): 0.0008, (9, 3): 0.312, (9, 9): 0.4088, (1, 4): 0.0008, (8, 9): 0.0012, (2, 3): 0.0026, }, ]
+11 Stop [{(2, 8): 0.3052, (9, 8): 0.0094, (1, 4): 0.0104, (8, 9): 0.0114, (8, 8): 0.3214, (2, 3): 0.0096, (2, 4): 0.3326, }, {(1, 3): 0.2658, (9, 8): 0.0002, (9, 3): 0.3116, (9, 9): 0.4188, (1, 4): 0.001, (8, 9): 0.0018, (2, 3): 0.0008, }, ]
+12 Stop [{(2, 8): 0.3262, (9, 8): 0.0076, (1, 4): 0.0046, (8, 9): 0.0054, (8, 8): 0.315, (2, 3): 0.006, (2, 4): 0.3352, }, {(1, 3): 0.2712, (9, 8): 0.0002, (9, 3): 0.291, (9, 9): 0.4306, (1, 4): 0.0024, (8, 9): 0.0034, (2, 3): 0.0012, }, ]
+13 Stop [{(2, 8): 0.3332, (9, 8): 0.0048, (1, 4): 0.0022, (8, 9): 0.0028, (8, 8): 0.3158, (2, 3): 0.0026, (2, 4): 0.3386, }, {(1, 3): 0.2784, (9, 8): 0.0002, (9, 3): 0.2926, (9, 9): 0.4248, (1, 4): 0.0016, (8, 9): 0.002, (2, 3): 0.0004, }, ]
+14 Stop [{(2, 8): 0.3364, (9, 8): 0.0026, (1, 4): 0.0018, (8, 9): 0.0014, (8, 8): 0.3184, (2, 3): 0.0018, (2, 4): 0.3376, }, {(1, 3): 0.2824, (9, 3): 0.2932, (9, 9): 0.422, (1, 4): 0.001, (8, 9): 0.0008, (2, 3): 0.0006, }, ]
+15 Stop [{(2, 8): 0.335, (9, 8): 0.0028, (1, 4): 0.0016, (8, 9): 0.001, (8, 8): 0.3208, (2, 3): 0.0008, (2, 4): 0.338, }, {(1, 3): 0.2892, (9, 3): 0.2856, (9, 9): 0.424, (1, 4): 0.0006, (8, 9): 0.0004, (2, 3): 0.0002, }, ]
+16 Stop [{(2, 8): 0.3378, (9, 8): 0.0062, (1, 4): 0.0026, (8, 9): 0.0032, (8, 8): 0.3176, (2, 3): 0.0014, (2, 4): 0.3312, }, {(9, 3): 0.3012, (1, 3): 0.287, (9, 9): 0.411, (1, 4): 0.0008, }, ]
+17 Stop [{(2, 8): 0.3364, (9, 8): 0.009, (1, 4): 0.005, (8, 9): 0.0066, (8, 8): 0.3078, (2, 3): 0.0022, (2, 4): 0.333, }, {(9, 3): 0.298, (1, 3): 0.2892, (9, 9): 0.4104, (1, 4): 0.0024, }, ]
+18 Stop [{(2, 8): 0.3238, (9, 8): 0.0224, (1, 4): 0.0108, (8, 9): 0.011, (8, 8): 0.304, (2, 3): 0.0054, (2, 4): 0.3226, }, {(9, 3): 0.2928, (1, 3): 0.2972, (9, 9): 0.4088, (1, 4): 0.0012, }, ]
+19 Stop [{(2, 8): 0.3302, (9, 8): 0.0126, (1, 4): 0.0056, (8, 9): 0.0056, (8, 8): 0.319, (2, 3): 0.0028, (2, 4): 0.3242, }, {(9, 3): 0.2864, (1, 3): 0.2938, (9, 9): 0.417, (1, 4): 0.0028, }, ]
+20 Stop [{(2, 8): 0.3378, (9, 8): 0.005, (1, 4): 0.0028, (8, 9): 0.0032, (8, 8): 0.323, (2, 3): 0.002, (2, 4): 0.3262, }, {(9, 3): 0.2958, (1, 3): 0.2888, (9, 9): 0.4144, (1, 4): 0.001, }, ]
+21 Stop [{(2, 8): 0.3306, (9, 8): 0.009, (1, 4): 0.0054, (8, 9): 0.0058, (8, 8): 0.3278, (2, 3): 0.0036, (2, 4): 0.3178, }, {(9, 3): 0.2934, (1, 3): 0.2898, (9, 9): 0.4146, (1, 4): 0.0022, }, ]
+22 Stop [{(2, 8): 0.3236, (9, 8): 0.0046, (1, 4): 0.0018, (8, 9): 0.003, (8, 8): 0.3384, (2, 3): 0.0008, (2, 4): 0.3278, }, {(9, 3): 0.2958, (1, 3): 0.2894, (9, 9): 0.4138, (1, 4): 0.001, }, ]
+23 Stop [{(2, 8): 0.3294, (9, 8): 0.0024, (1, 4): 0.0022, (8, 9): 0.0022, (8, 8): 0.3474, (2, 3): 0.0004, (2, 4): 0.316, }, {(9, 3): 0.3024, (1, 3): 0.2898, (9, 9): 0.4058, (1, 4): 0.002, }, ]
+24 Stop [{(2, 8): 0.3324, (9, 8): 0.005, (1, 4): 0.0058, (8, 9): 0.004, (8, 8): 0.3398, (2, 3): 0.001, (2, 4): 0.312, }, {(9, 3): 0.3048, (1, 3): 0.2936, (9, 9): 0.4012, (1, 4): 0.0004, }, ]
+25 Stop [{(2, 8): 0.341, (9, 8): 0.0022, (1, 4): 0.003, (8, 9): 0.0018, (8, 8): 0.3348, (2, 3): 0.0006, (2, 4): 0.3166, }, {(9, 3): 0.3096, (1, 3): 0.2846, (9, 9): 0.4056, (1, 4): 0.0002, }, ]
+26 Stop [{(2, 8): 0.3496, (9, 8): 0.001, (1, 4): 0.0018, (8, 9): 0.001, (8, 8): 0.323, (2, 3): 0.0004, (2, 4): 0.3232, }, {(9, 3): 0.3056, (1, 3): 0.284, (9, 9): 0.4104, }, ]
+27 Stop [{(2, 8): 0.3632, (9, 8): 0.0008, (1, 4): 0.0016, (8, 9): 0.0008, (8, 8): 0.3162, (2, 3): 0.0002, (2, 4): 0.3172, }, {(9, 3): 0.3012, (1, 3): 0.29, (9, 9): 0.4088, }, ]
+28 Stop [{(2, 8): 0.366, (9, 8): 0.0006, (1, 4): 0.001, (8, 9): 0.0002, (8, 8): 0.3118, (2, 3): 0.0002, (2, 4): 0.3202, }, {(9, 3): 0.295, (1, 3): 0.2888, (9, 9): 0.4162, }, ]
+29 Stop [{(2, 8): 0.3718, (9, 8): 0.0002, (1, 4): 0.0004, (8, 9): 0.0002, (8, 8): 0.3056, (2, 4): 0.3218, }, {(9, 3): 0.2906, (1, 3): 0.2908, (9, 9): 0.4186, }, ]
+30 Stop [{(8, 9): 0.0004, (2, 8): 0.373, (8, 8): 0.3108, (2, 4): 0.3154, (1, 4): 0.0004, }, {(9, 3): 0.2866, (1, 3): 0.2884, (9, 9): 0.425, }, ]
+31 Stop [{(8, 9): 0.0002, (2, 8): 0.3738, (8, 8): 0.3132, (2, 4): 0.3128, }, {(1, 3): 0.2908, (9, 3): 0.2756, (9, 9): 0.4336, }, ]
+32 Stop [{(8, 9): 0.0002, (2, 8): 0.3714, (8, 8): 0.321, (2, 4): 0.3074, }, {(1, 3): 0.3074, (9, 3): 0.2694, (9, 9): 0.4232, }, ]
+33 Stop [{(8, 9): 0.0002, (2, 8): 0.377, (8, 8): 0.3206, (2, 4): 0.3022, }, {(1, 3): 0.314, (9, 3): 0.2548, (9, 9): 0.4312, }, ]
+34 Stop [{(2, 8): 0.3718, (8, 8): 0.327, (2, 4): 0.3012, }, {(1, 3): 0.3194, (9, 3): 0.2438, (9, 9): 0.4368, }, ]
+35 Stop [{(2, 8): 0.3696, (8, 8): 0.3184, (2, 4): 0.312, }, {(1, 3): 0.3306, (9, 3): 0.232, (9, 9): 0.4374, }, ]
+36 Stop [{(2, 8): 0.3666, (8, 8): 0.326, (2, 4): 0.3074, }, {(1, 3): 0.3238, (9, 3): 0.2342, (9, 9): 0.442, }, ]
+37 Stop [{(2, 8): 0.3744, (8, 8): 0.3154, (2, 4): 0.3102, }, {(1, 3): 0.3298, (9, 3): 0.2246, (9, 9): 0.4456, }, ]
+38 Stop [{(2, 8): 0.3698, (8, 8): 0.322, (2, 4): 0.3082, }, {(1, 3): 0.3132, (9, 3): 0.2308, (9, 9): 0.456, }, ]
+39 Stop [{(2, 8): 0.372, (8, 8): 0.3234, (2, 4): 0.3046, }, {(1, 3): 0.3064, (9, 3): 0.227, (9, 9): 0.4666, }, ]
+40 Stop [{(2, 8): 0.3626, (8, 8): 0.3332, (2, 4): 0.3042, }, {(1, 3): 0.3044, (9, 3): 0.223, (9, 9): 0.4726, }, ]
+41 Stop [{(2, 8): 0.3738, (8, 8): 0.3352, (2, 4): 0.291, }, {(1, 3): 0.2978, (9, 3): 0.2232, (9, 9): 0.479, }, ]
+42 Stop [{(2, 8): 0.3606, (8, 8): 0.339, (2, 4): 0.3004, }, {(1, 3): 0.2978, (9, 3): 0.2212, (9, 9): 0.481, }, ]
+43 Stop [{(2, 8): 0.3642, (8, 8): 0.3458, (2, 4): 0.29, }, {(1, 3): 0.2994, (9, 3): 0.2214, (9, 9): 0.4792, }, ]
+44 Stop [{(2, 8): 0.3676, (8, 8): 0.3382, (2, 4): 0.2942, }, {(1, 3): 0.2958, (9, 3): 0.2172, (9, 9): 0.487, }, ]
+45 Stop [{(2, 8): 0.3796, (8, 8): 0.328, (2, 4): 0.2924, }, {(1, 3): 0.3028, (9, 3): 0.2064, (9, 9): 0.4908, }, ]
+46 Stop [{(2, 8): 0.3732, (8, 8): 0.3308, (2, 4): 0.296, }, {(1, 3): 0.3022, (9, 3): 0.2148, (9, 9): 0.483, }, ]
+47 Stop [{(2, 8): 0.3752, (8, 8): 0.326, (2, 4): 0.2988, }, {(1, 3): 0.299, (9, 3): 0.2154, (9, 9): 0.4856, }, ]
+48 Stop [{(2, 8): 0.38, (8, 8): 0.326, (2, 4): 0.294, }, {(1, 3): 0.3016, (9, 3): 0.2122, (9, 9): 0.4862, }, ]
+49 Stop [{(2, 8): 0.3728, (8, 8): 0.3388, (2, 4): 0.2884, }, {(1, 3): 0.3034, (9, 3): 0.2084, (9, 9): 0.4882, }, ]
+50 Stop [{(2, 8): 0.3602, (8, 8): 0.34, (2, 4): 0.2998, }, {(1, 3): 0.2982, (9, 3): 0.2064, (9, 9): 0.4954, }, ]
+51 Stop [{(2, 8): 0.3628, (8, 8): 0.346, (2, 4): 0.2912, }, {(1, 3): 0.3008, (9, 3): 0.2072, (9, 9): 0.492, }, ]
+52 Stop [{(2, 8): 0.3564, (8, 8): 0.349, (2, 4): 0.2946, }, {(1, 3): 0.304, (9, 3): 0.2062, (9, 9): 0.4898, }, ]
+53 Stop [{(2, 8): 0.3524, (8, 8): 0.3578, (2, 4): 0.2898, }, {(1, 3): 0.3028, (9, 3): 0.2114, (9, 9): 0.4858, }, ]
+54 Stop [{(2, 8): 0.3458, (8, 8): 0.356, (2, 4): 0.2982, }, {(1, 3): 0.3136, (9, 3): 0.217, (9, 9): 0.4694, }, ]
+55 Stop [{(2, 8): 0.3448, (8, 8): 0.3564, (2, 4): 0.2988, }, {(1, 3): 0.3208, (9, 3): 0.2108, (9, 9): 0.4684, }, ]
+56 Stop [{(2, 8): 0.3544, (8, 8): 0.3578, (2, 4): 0.2878, }, {(1, 3): 0.3282, (9, 3): 0.209, (9, 9): 0.4628, }, ]
+57 Stop [{(2, 8): 0.3456, (8, 8): 0.365, (2, 4): 0.2894, }, {(1, 3): 0.3362, (9, 3): 0.2156, (9, 9): 0.4482, }, ]
+58 Stop [{(2, 8): 0.342, (8, 8): 0.3626, (2, 4): 0.2954, }, {(1, 3): 0.344, (9, 3): 0.2106, (9, 9): 0.4454, }, ]
+59 Stop [{(2, 8): 0.3474, (8, 8): 0.3642, (2, 4): 0.2884, }, {(1, 3): 0.3324, (9, 3): 0.2096, (9, 9): 0.458, }, ]
+60 Stop [{(2, 8): 0.3456, (8, 8): 0.3684, (2, 4): 0.286, }, {(1, 3): 0.3276, (9, 3): 0.2044, (9, 9): 0.468, }, ]
+61 None [{(2, 8): 0.3428, (8, 8): 0.3664, (2, 4): 0.2908, }, {(1, 3): 0.3282, (9, 3): 0.204, (9, 9): 0.4678, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/1-JointParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/1-JointParticleUpdate.test
new file mode 100644
index 0000000..2cb56b2
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/1-JointParticleUpdate.test	
@@ -0,0 +1,31 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%%%%%%%%  %
+%%G%%%%%  %
+%%%%%%%%%%%
+%%%%%P%%%%%
+%%%%%%%%%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% % %%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "60"
+
+numGhosts: "2"
+ghost: "DispersingSeededGhost"
+inference: "MarginalInference"
+L2Tolerance: "0.05"
+errorMsg: "Joint particle filter elapseTime test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/2-JointParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/2-JointParticleUpdate.solution
new file mode 100644
index 0000000..883cab3
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/2-JointParticleUpdate.solution	
@@ -0,0 +1,65 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(4, 7): 0.0526, (1, 3): 0.0528, (6, 7): 0.0522, (4, 6): 0.053, (6, 6): 0.052, (5, 6): 0.0532, (2, 8): 0.052, (9, 8): 0.053, (9, 3): 0.0526, (9, 9): 0.0526, (1, 4): 0.053, (8, 9): 0.0528, (4, 5): 0.0526, (8, 8): 0.0526, (2, 3): 0.0528, (5, 7): 0.052, (2, 4): 0.0524, (6, 5): 0.053, (5, 5): 0.0528, }, {(4, 7): 0.053, (5, 7): 0.0522, (6, 7): 0.0522, (4, 6): 0.0524, (6, 6): 0.0524, (4, 5): 0.0528, (2, 8): 0.0528, (9, 8): 0.0528, (9, 3): 0.0528, (9, 9): 0.0524, (1, 4): 0.0528, (8, 9): 0.0522, (5, 6): 0.053, (8, 8): 0.0528, (2, 3): 0.0532, (1, 3): 0.0524, (2, 4): 0.0522, (6, 5): 0.0526, (5, 5): 0.053, }, ]
+1 South [{(4, 7): 0.0066, (9, 3): 0.0656, (6, 7): 0.0072, (4, 6): 0.0072, (6, 6): 0.0054, (4, 5): 0.0084, (2, 8): 0.0678, (9, 8): 0.1356, (5, 7): 0.007, (9, 9): 0.0674, (1, 4): 0.136, (8, 9): 0.1378, (8, 8): 0.0632, (2, 3): 0.1298, (1, 3): 0.0692, (2, 4): 0.0664, (6, 5): 0.0102, (5, 5): 0.0092, }, {(4, 7): 0.0076, (1, 3): 0.1726, (6, 7): 0.0058, (4, 5): 0.0052, (2, 8): 0.0482, (9, 8): 0.0818, (9, 3): 0.1642, (9, 9): 0.1654, (1, 4): 0.0882, (8, 9): 0.086, (8, 8): 0.039, (2, 3): 0.0848, (2, 4): 0.046, (6, 5): 0.0052, }, ]
+2 Stop [{(4, 7): 0.0008, (1, 3): 0.1194, (6, 7): 0.0018, (4, 6): 0.001, (6, 6): 0.0006, (2, 8): 0.1134, (9, 8): 0.1284, (9, 3): 0.1212, (9, 9): 0.0292, (1, 4): 0.113, (8, 9): 0.1234, (8, 8): 0.11, (2, 3): 0.1058, (5, 7): 0.001, (2, 4): 0.0304, (6, 5): 0.0006, }, {(4, 7): 0.0008, (1, 3): 0.1814, (6, 7): 0.0018, (4, 5): 0.0002, (2, 8): 0.0498, (9, 8): 0.1638, (9, 3): 0.1636, (9, 9): 0.16, (1, 4): 0.0416, (8, 9): 0.1522, (8, 8): 0.0344, (2, 3): 0.0398, (2, 4): 0.0106, }, ]
+3 North [{(4, 7): 0.0004, (1, 3): 0.1036, (6, 7): 0.0026, (4, 6): 0.0016, (6, 6): 0.0004, (2, 8): 0.0966, (9, 8): 0.0506, (9, 3): 0.1116, (9, 9): 0.0068, (1, 4): 0.1952, (8, 9): 0.0496, (8, 8): 0.0982, (2, 3): 0.1792, (5, 7): 0.0002, (2, 4): 0.103, (6, 5): 0.0004, }, {(4, 7): 0.0002, (1, 3): 0.1066, (2, 8): 0.0278, (9, 8): 0.208, (9, 3): 0.0964, (9, 9): 0.3562, (1, 4): 0.012, (8, 9): 0.1586, (8, 8): 0.0194, (2, 3): 0.0132, (2, 4): 0.0016, }, ]
+4 East [{(1, 3): 0.0488, (6, 7): 0.0004, (4, 6): 0.0004, (2, 8): 0.1546, (9, 8): 0.0374, (9, 3): 0.0454, (9, 9): 0.0038, (1, 4): 0.1544, (8, 9): 0.0446, (8, 8): 0.1626, (2, 3): 0.1776, (2, 4): 0.17, }, {(1, 3): 0.1408, (2, 8): 0.006, (9, 8): 0.1438, (9, 3): 0.1248, (9, 9): 0.4594, (1, 4): 0.0086, (8, 9): 0.1004, (8, 8): 0.0046, (2, 3): 0.0114, (2, 4): 0.0002, }, ]
+5 South [{(1, 3): 0.038, (2, 8): 0.1346, (9, 8): 0.0162, (9, 3): 0.043, (9, 9): 0.0022, (1, 4): 0.2552, (8, 9): 0.0196, (8, 8): 0.0374, (2, 3): 0.3132, (2, 4): 0.1406, }, {(1, 3): 0.0504, (2, 8): 0.0082, (9, 8): 0.0906, (9, 3): 0.16, (9, 9): 0.611, (1, 4): 0.0042, (8, 9): 0.0678, (8, 8): 0.0016, (2, 3): 0.006, (2, 4): 0.0002, }, ]
+6 West [{(1, 3): 0.0244, (2, 8): 0.08, (9, 8): 0.021, (9, 3): 0.0314, (9, 9): 0.0004, (1, 4): 0.3444, (8, 9): 0.0216, (8, 8): 0.0278, (2, 3): 0.3508, (2, 4): 0.0982, }, {(1, 3): 0.0318, (2, 8): 0.004, (9, 8): 0.109, (9, 3): 0.369, (9, 9): 0.3882, (1, 4): 0.0044, (8, 9): 0.0838, (8, 8): 0.0042, (2, 3): 0.0056, }, ]
+7 North [{(1, 3): 0.0368, (2, 8): 0.1296, (9, 8): 0.0556, (9, 3): 0.0542, (9, 9): 0.0004, (1, 4): 0.2658, (8, 9): 0.0706, (8, 8): 0.0472, (2, 3): 0.3086, (2, 4): 0.0312, }, {(1, 3): 0.0136, (2, 8): 0.0018, (9, 8): 0.083, (9, 3): 0.155, (9, 9): 0.6766, (1, 4): 0.0012, (8, 9): 0.0666, (8, 8): 0.0008, (2, 3): 0.0014, }, ]
+8 North [{(1, 3): 0.0122, (2, 8): 0.2138, (9, 8): 0.0476, (9, 3): 0.0264, (9, 9): 0.0004, (1, 4): 0.228, (8, 9): 0.058, (8, 8): 0.0782, (2, 3): 0.279, (2, 4): 0.0564, }, {(1, 3): 0.0156, (2, 8): 0.0008, (9, 8): 0.0462, (9, 3): 0.1696, (9, 9): 0.7306, (1, 4): 0.001, (8, 9): 0.035, (8, 8): 0.0004, (2, 3): 0.0008, }, ]
+9 Stop [{(1, 3): 0.0014, (2, 8): 0.4766, (9, 8): 0.0698, (9, 3): 0.0064, (9, 9): 0.0004, (1, 4): 0.0698, (8, 9): 0.0616, (8, 8): 0.1856, (2, 3): 0.0914, (2, 4): 0.037, }, {(1, 3): 0.0402, (9, 8): 0.0156, (9, 3): 0.4154, (9, 9): 0.51, (1, 4): 0.0006, (8, 9): 0.0172, (2, 3): 0.001, }, ]
+10 Stop [{(2, 8): 0.609, (9, 8): 0.0608, (9, 3): 0.0014, (1, 4): 0.0124, (8, 9): 0.0356, (8, 8): 0.251, (2, 3): 0.0152, (2, 4): 0.0146, }, {(1, 3): 0.0682, (9, 8): 0.0054, (9, 3): 0.6944, (9, 9): 0.227, (1, 4): 0.0002, (8, 9): 0.0042, (2, 3): 0.0006, }, ]
+11 South [{(2, 8): 0.6672, (9, 8): 0.034, (1, 4): 0.0016, (8, 9): 0.0196, (8, 8): 0.27, (2, 3): 0.0032, (2, 4): 0.0044, }, {(8, 9): 0.0004, (9, 8): 0.0008, (1, 3): 0.0824, (9, 9): 0.0668, (9, 3): 0.8496, }, ]
+12 Stop [{(2, 8): 0.6938, (9, 8): 0.0194, (1, 4): 0.0004, (8, 9): 0.011, (8, 8): 0.268, (2, 3): 0.001, (2, 4): 0.0064, }, {(8, 9): 0.0008, (9, 8): 0.003, (1, 3): 0.084, (9, 9): 0.0652, (9, 3): 0.847, }, ]
+13 West [{(2, 8): 0.7096, (9, 8): 0.0116, (8, 9): 0.0068, (8, 8): 0.2652, (2, 3): 0.0004, (2, 4): 0.0064, }, {(8, 9): 0.0004, (9, 8): 0.0012, (9, 3): 0.8462, (9, 9): 0.064, (1, 3): 0.0882, }, ]
+14 North [{(2, 8): 0.903, (9, 8): 0.0024, (8, 9): 0.0008, (8, 8): 0.0844, (2, 3): 0.0004, (2, 4): 0.009, }, {(8, 9): 0.0002, (9, 8): 0.0006, (1, 3): 0.026, (9, 9): 0.0764, (9, 3): 0.8968, }, ]
+15 East [{(8, 9): 0.0002, (2, 8): 0.9708, (9, 8): 0.0014, (8, 8): 0.024, (2, 4): 0.0036, }, {(9, 3): 0.9706, (1, 3): 0.0078, (9, 9): 0.0216, }, ]
+16 Stop [{(8, 9): 0.0002, (2, 8): 0.972, (9, 8): 0.0034, (8, 8): 0.0218, (2, 4): 0.0026, }, {(9, 3): 0.9874, (1, 3): 0.0078, (9, 9): 0.0048, }, ]
+17 South [{(2, 8): 0.9736, (9, 8): 0.0048, (8, 8): 0.0192, (2, 4): 0.0024, }, {(9, 3): 0.9758, (1, 3): 0.008, (9, 9): 0.0162, }, ]
+18 West [{(2, 8): 0.9664, (9, 8): 0.0116, (8, 8): 0.02, (2, 4): 0.002, }, {(9, 3): 0.9746, (1, 3): 0.0098, (9, 9): 0.0156, }, ]
+19 North [{(2, 8): 0.9894, (9, 8): 0.0022, (8, 8): 0.006, (2, 4): 0.0024, }, {(9, 3): 0.9736, (1, 3): 0.0108, (9, 9): 0.0156, }, ]
+20 South [{(2, 8): 0.9984, (8, 8): 0.0008, (2, 4): 0.0008, }, {(1, 3): 0.0028, (9, 3): 0.994, (9, 9): 0.0032, }, ]
+21 Stop [{(2, 8): 0.9982, (8, 8): 0.0012, (2, 4): 0.0006, }, {(1, 3): 0.0032, (9, 3): 0.9938, (9, 9): 0.003, }, ]
+22 North [{(2, 8): 0.999, (8, 8): 0.0002, (2, 4): 0.0008, }, {(1, 3): 0.0004, (9, 3): 0.9962, (9, 9): 0.0034, }, ]
+23 East [{(2, 8): 0.9996, (2, 4): 0.0004, }, {(1, 3): 0.0034, (9, 3): 0.9826, (9, 9): 0.014, }, ]
+24 West [{(2, 8): 0.9984, (2, 4): 0.0016, }, {(1, 3): 0.005, (9, 3): 0.991, (9, 9): 0.004, }, ]
+25 South [{(2, 8): 0.9994, (2, 4): 0.0006, }, {(1, 3): 0.0008, (9, 3): 0.9988, (9, 9): 0.0004, }, ]
+26 South [{(2, 8): 0.9992, (2, 4): 0.0008, }, {(1, 3): 0.0004, (9, 3): 0.9992, (9, 9): 0.0004, }, ]
+27 Stop [{(2, 8): 0.9958, (2, 4): 0.0042, }, {(1, 3): 0.0002, (9, 3): 0.9996, (9, 9): 0.0002, }, ]
+28 East [{(2, 8): 0.9988, (2, 4): 0.0012, }, {(9, 3): 0.9998, (9, 9): 0.0002, }, ]
+29 North [{(2, 8): 0.9988, (2, 4): 0.0012, }, {(9, 3): 0.999, (9, 9): 0.001, }, ]
+30 Stop [{(2, 8): 0.9982, (2, 4): 0.0018, }, {(9, 3): 0.9988, (9, 9): 0.0012, }, ]
+31 South [{(2, 8): 0.9974, (2, 4): 0.0026, }, {(9, 3): 0.9996, (9, 9): 0.0004, }, ]
+32 North [{(2, 8): 0.9994, (2, 4): 0.0006, }, {(9, 3): 0.9984, (9, 9): 0.0016, }, ]
+33 Stop [{(2, 8): 0.9996, (2, 4): 0.0004, }, {(9, 3): 0.9984, (9, 9): 0.0016, }, ]
+34 East [{(2, 8): 0.9998, (2, 4): 0.0002, }, {(9, 3): 0.9984, (9, 9): 0.0016, }, ]
+35 North [{(2, 8): 0.9998, (2, 4): 0.0002, }, {(9, 3): 0.9982, (9, 9): 0.0018, }, ]
+36 West [{(2, 8): 1.0, }, {(9, 3): 0.9998, (9, 9): 0.0002, }, ]
+37 East [{(2, 8): 1.0, }, {(9, 3): 0.9996, (9, 9): 0.0004, }, ]
+38 Stop [{(2, 8): 1.0, }, {(9, 3): 0.9998, (9, 9): 0.0002, }, ]
+39 Stop [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+40 West [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+41 South [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+42 Stop [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+43 South [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+44 West [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+45 North [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+46 East [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+47 West [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+48 Stop [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+49 South [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+50 North [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+51 Stop [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+52 South [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+53 East [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+54 West [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+55 North [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+56 South [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+57 East [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+58 West [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+59 East [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+60 North [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+61 None [{(2, 8): 1.0, }, {(9, 3): 1.0, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/2-JointParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/2-JointParticleUpdate.test
new file mode 100644
index 0000000..e20578a
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/2-JointParticleUpdate.test	
@@ -0,0 +1,31 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%%%%%%
+%%%%%%%%  %
+%%G%%%%%  %
+%%%%   %%%%
+%%%% P %%%%
+%%%%   %%%%
+%  %%%%%%%%
+%  %%%%%%G%
+%%%%%%%%%%%
+% % %%%%%%%
+%%%%%%%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "60"
+
+numGhosts: "2"
+ghost: "DispersingSeededGhost"
+inference: "MarginalInference"
+L2Tolerance: "0.1"
+errorMsg: "Joint particle filter elapseTime test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/3-JointParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/3-JointParticleUpdate.solution
new file mode 100644
index 0000000..1e1a6bb
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/3-JointParticleUpdate.solution	
@@ -0,0 +1 @@
+# This test checks that you successfully handle the case when all particle weights are set to 0
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/3-JointParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/3-JointParticleUpdate.test
new file mode 100644
index 0000000..0983292
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/3-JointParticleUpdate.test	
@@ -0,0 +1,41 @@
+class: "ZeroWeightTest"
+
+seed: "188"
+
+layout: """
+%%%%%
+%P%G%
+%%% %
+%%%G%
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%% %
+%%%%%
+% %%%
+%%%%%
+"""
+
+observe: "True"
+
+elapse: "False"
+
+maxMoves: "100"
+
+numGhosts: "2"
+ghost: "GoSouthAgent"
+inference: "MarginalInference"
+
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/4-JointParticleUpdate.solution b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/4-JointParticleUpdate.solution
new file mode 100644
index 0000000..f29405c
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/4-JointParticleUpdate.solution	
@@ -0,0 +1,7 @@
+# move_number action likelihood_dictionary
+correctActions: """
+0 None [{(1, 3): 0.25, (2, 3): 0.2502, (3, 3): 0.25, (4, 3): 0.2498, }, {(1, 3): 0.2498, (2, 3): 0.25, (3, 3): 0.2502, (4, 3): 0.25, }, ]
+1 East [{(2, 3): 0.253, (3, 3): 0.2412, (4, 3): 0.5058, }, {(2, 3): 0.233, (3, 3): 0.2562, (4, 3): 0.5108, }, ]
+2 East [{(1, 3): 0.2498, (2, 3): 0.25, (3, 3): 0.25, (4, 3): 0.2502, }, {(1, 3): 0.25, (2, 3): 0.25, (3, 3): 0.25, (4, 3): 0.25, }, ]
+3 None [{(1, 3): 0.25, (2, 3): 0.2502, (3, 3): 0.2496, (4, 3): 0.2502, }, {(1, 3): 0.25, (2, 3): 0.2502, (3, 3): 0.2498, (4, 3): 0.25, }, ]
+"""
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/4-JointParticleUpdate.test b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/4-JointParticleUpdate.test
new file mode 100644
index 0000000..0eeeadb
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/4-JointParticleUpdate.test	
@@ -0,0 +1,25 @@
+class: "DoubleInferenceAgentTest"
+
+seed: "188"
+
+layout: """
+%%%%%%
+%P GG%
+%%%%%%
+% % %%
+%%%%%%  
+"""
+
+observe: "True"
+
+elapse: "False"
+
+checkUniform: "False"
+maxMoves: "100"
+
+numGhosts: "2"
+ghost: "DispersingSeededGhost"
+inference: "MarginalInference"
+L2Tolerance: "0.05"
+errorMsg: "Joint particle filter elapseTime test: %d inference errors."
+
diff --git a/cs188-projects-master/P5 Ghostbusters/test_cases/q9/CONFIG b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/CONFIG
new file mode 100644
index 0000000..64a4dd7
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/test_cases/q9/CONFIG	
@@ -0,0 +1,3 @@
+max_points: "3"
+class: "PassAllTestsQuestion"
+
diff --git a/cs188-projects-master/P5 Ghostbusters/textDisplay.py b/cs188-projects-master/P5 Ghostbusters/textDisplay.py
new file mode 100644
index 0000000..e920ad4
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/textDisplay.py	
@@ -0,0 +1,81 @@
+# textDisplay.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import time
+try: 
+    import pacman
+except:
+    pass
+
+DRAW_EVERY = 1
+SLEEP_TIME = 0 # This can be overwritten by __init__
+DISPLAY_MOVES = False
+QUIET = False # Supresses output
+
+class NullGraphics:
+    def initialize(self, state, isBlue = False):
+        pass
+
+    def update(self, state):
+        pass
+
+    def checkNullDisplay(self):
+        return True
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def updateDistributions(self, dist):
+        pass
+
+    def finish(self):
+        pass
+
+class PacmanGraphics:
+    def __init__(self, speed=None):
+        if speed != None:
+            global SLEEP_TIME
+            SLEEP_TIME = speed
+
+    def initialize(self, state, isBlue = False):
+        self.draw(state)
+        self.pause()
+        self.turn = 0
+        self.agentCounter = 0
+
+    def update(self, state):
+        numAgents = len(state.agentStates)
+        self.agentCounter = (self.agentCounter + 1) % numAgents
+        if self.agentCounter == 0:
+            self.turn += 1
+            if DISPLAY_MOVES:
+                ghosts = [pacman.nearestPoint(state.getGhostPosition(i)) for i in range(1, numAgents)]
+                print "%4d) P: %-8s" % (self.turn, str(pacman.nearestPoint(state.getPacmanPosition()))),'| Score: %-5d' % state.score,'| Ghosts:', ghosts
+            if self.turn % DRAW_EVERY == 0:
+                self.draw(state)
+                self.pause()
+        if state._win or state._lose:
+            self.draw(state)
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def finish(self):
+        pass
diff --git a/cs188-projects-master/P5 Ghostbusters/textDisplay.pyc b/cs188-projects-master/P5 Ghostbusters/textDisplay.pyc
new file mode 100644
index 0000000..98dae5c
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/textDisplay.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/tracking_fa14TestClasses.py b/cs188-projects-master/P5 Ghostbusters/tracking_fa14TestClasses.py
new file mode 100644
index 0000000..08337a2
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/tracking_fa14TestClasses.py	
@@ -0,0 +1,605 @@
+# tracking_fa14TestClasses.py
+# ---------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# tracking_fa14TestClasses.py
+# ---------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# trackingTestClasses.py
+# ----------------------
+# Licensing Information: Please do not distribute or publish solutions to this
+# project. You are free to use and extend these projects for educational
+# purposes. The Pacman AI projects were developed at UC Berkeley, primarily by
+# John DeNero (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and Pieter
+# Abbeel in Spring 2013.
+# For more info, see http://inst.eecs.berkeley.edu/~cs188/pacman/pacman.html
+
+import testClasses
+import busters
+import layout
+import bustersAgents
+from game import Agent
+from game import Actions
+from game import Directions
+import random
+import time
+import util
+import json
+import re
+import copy
+from util import manhattanDistance
+
+class GameScoreTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(GameScoreTest, self).__init__(question, testDict)
+        self.maxMoves = int(self.testDict['maxMoves'])
+        self.inference = self.testDict['inference']
+        self.layout_str = self.testDict['layout_str'].split('\n')
+        self.numRuns = int(self.testDict['numRuns'])
+        self.numWinsForCredit = int(self.testDict['numWinsForCredit'])
+        self.numGhosts = int(self.testDict['numGhosts'])
+        self.layout_name = self.testDict['layout_name']
+        self.min_score = int(self.testDict['min_score'])
+        self.observe_enable = self.testDict['observe'] == 'True'
+        self.elapse_enable = self.testDict['elapse'] == 'True'
+
+    def execute(self, grades, moduleDict, solutionDict):
+        ghosts = [SeededRandomGhostAgent(i) for i in range(1,self.numGhosts+1)]
+        pac = bustersAgents.GreedyBustersAgent(0, inference = self.inference, ghostAgents = ghosts, observeEnable = self.observe_enable, elapseTimeEnable = self.elapse_enable)
+        #if self.inference == "ExactInference":
+        #    pac.inferenceModules = [moduleDict['inference'].ExactInference(a) for a in ghosts]
+        #else:
+        #    print "Error inference type %s -- not implemented" % self.inference
+        #    return
+
+        stats = run(self.layout_str, pac, ghosts, self.question.getDisplay(), nGames=self.numRuns, maxMoves=self.maxMoves, quiet = False)
+        aboveCount = [s >= self.min_score for s in stats['scores']].count(True)
+        msg = "%s) Games won on %s with score above %d: %d/%d" % (self.layout_name, grades.currentQuestion, self.min_score, aboveCount, self.numRuns)
+        grades.addMessage(msg)
+        if aboveCount >= self.numWinsForCredit:
+            grades.assignFullCredit()
+            return self.testPass(grades)
+        else:
+            return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        handle = open(filePath, 'w')
+        handle.write('# You must win at least %d/10 games with at least %d points' % (self.numWinsForCredit, self.min_score))
+        handle.close()
+
+    def createPublicVersion(self):
+        pass
+
+class ZeroWeightTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(ZeroWeightTest, self).__init__(question, testDict)
+        self.maxMoves = int(self.testDict['maxMoves'])
+        self.inference = self.testDict['inference']
+        self.layout_str = self.testDict['layout'].split('\n')
+        self.numGhosts = int(self.testDict['numGhosts'])
+        self.observe_enable = self.testDict['observe'] == 'True'
+        self.elapse_enable = self.testDict['elapse'] == 'True'
+        self.ghost = self.testDict['ghost']
+        self.seed = int(self.testDict['seed'])
+
+    def execute(self, grades, moduleDict, solutionDict):
+        random.seed(self.seed)
+        inferenceFunction = getattr(moduleDict['inference'], self.inference)
+        ghosts = [globals()[self.ghost](i) for i in range(1, self.numGhosts+1)]
+        if self.inference == 'MarginalInference':
+            moduleDict['inference'].jointInference = moduleDict['inference'].JointParticleFilter()
+        disp = self.question.getDisplay()
+        pac = ZeroWeightAgent(inferenceFunction, ghosts, grades, self.seed, disp, elapse=self.elapse_enable, observe=self.observe_enable)
+        if self.inference == "ParticleFilter":
+            for pfilter in pac.inferenceModules: pfilter.setNumParticles(5000)
+        elif self.inference == "MarginalInference":
+            moduleDict['inference'].jointInference.setNumParticles(5000)
+        run(self.layout_str, pac, ghosts, disp, maxMoves = self.maxMoves)
+        if pac.getReset():
+            grades.addMessage('%s) successfully handled all weights = 0' % grades.currentQuestion)
+            return self.testPass(grades)
+        else:
+            grades.addMessage('%s) error handling all weights = 0' % grades.currentQuestion)
+            return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        handle = open(filePath, 'w')
+        handle.write('# This test checks that you successfully handle the case when all particle weights are set to 0\n')
+        handle.close()
+
+    def createPublicVersion(self):
+        self.testDict['seed'] = '188'
+        self.seed = 188
+
+class DoubleInferenceAgentTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(DoubleInferenceAgentTest, self).__init__(question, testDict)
+        self.seed = int(self.testDict['seed'])
+        self.layout_str = self.testDict['layout'].split('\n')
+        self.observe = (self.testDict['observe'] == "True")
+        self.elapse = (self.testDict['elapse'] == "True")
+        self.checkUniform = (self.testDict['checkUniform'] == 'True')
+        self.maxMoves = int(self.testDict['maxMoves'])
+        self.numGhosts = int(self.testDict['numGhosts'])
+        self.inference = self.testDict['inference']
+        self.errorMsg = self.testDict['errorMsg']
+        self.L2Tolerance = float(self.testDict['L2Tolerance'])
+        self.ghost = self.testDict['ghost']
+
+    def execute(self, grades, moduleDict, solutionDict):
+        random.seed(self.seed)
+        lines = solutionDict['correctActions'].split('\n')
+        moves = []
+        # Collect solutions
+        for l in lines:
+            m = re.match('(\d+) (\w+) (.*)', l)
+            moves.append((m.group(1), m.group(2), eval(m.group(3))))
+
+        inferenceFunction = getattr(moduleDict['inference'], self.inference)
+
+        ghosts = [globals()[self.ghost](i) for i in range(1, self.numGhosts+1)]
+        if self.inference == 'MarginalInference':
+            moduleDict['inference'].jointInference = moduleDict['inference'].JointParticleFilter()
+
+        disp = self.question.getDisplay()
+        pac = DoubleInferenceAgent(inferenceFunction, moves, ghosts, grades, self.seed, disp, self.inference, elapse=self.elapse,
+                observe=self.observe, L2Tolerance=self.L2Tolerance, checkUniform = self.checkUniform)
+        if self.inference == "ParticleFilter":
+            for pfilter in pac.inferenceModules: pfilter.setNumParticles(5000)
+        elif self.inference == "MarginalInference":
+            moduleDict['inference'].jointInference.setNumParticles(5000)
+        run(self.layout_str, pac, ghosts, disp, maxMoves=self.maxMoves)
+        msg = self.errorMsg % pac.errors
+        grades.addMessage(("%s) " % (grades.currentQuestion))+msg)
+        if pac.errors == 0:
+            grades.addPoints(2)
+            return self.testPass(grades)
+        else:
+            return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        random.seed(self.seed)
+        if self.inference == 'ParticleFilter':
+            self.inference = 'ExactInference'  # use exact inference to generate solution
+        inferenceFunction = getattr(moduleDict['inference'], self.inference)
+
+        ghosts = [globals()[self.ghost](i) for i in range(1, self.numGhosts+1)]
+        if self.inference == 'MarginalInference':
+            moduleDict['inference'].jointInference = moduleDict['inference'].JointParticleFilter()
+            moduleDict['inference'].jointInference.setNumParticles(5000)
+
+        pac = InferenceAgent(inferenceFunction, ghosts, self.seed, elapse=self.elapse, observe=self.observe)
+        run(self.layout_str, pac, ghosts, self.question.getDisplay(), maxMoves=self.maxMoves)
+        # run our gold code here and then write it to a solution file
+        answerList = pac.answerList
+        handle = open(filePath, 'w')
+        handle.write('# move_number action likelihood_dictionary\n')
+        handle.write('correctActions: """\n')
+        for (moveNum, move, dists) in answerList:
+            handle.write('%s %s [' % (moveNum, move))
+            for dist in dists:
+                handle.write('{')
+                for key in dist:
+                    handle.write('%s: %s, ' % (key, dist[key]))
+                handle.write('}, ')
+            handle.write(']\n')
+        handle.write('"""\n')
+        handle.close()
+
+    def createPublicVersion(self):
+        self.testDict['seed'] = '188'
+        self.seed = 188
+
+class OutputTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(OutputTest, self).__init__(question, testDict)
+        self.preamble = compile(testDict.get('preamble', ""), "%s.preamble" % self.getPath(), 'exec')
+        self.test = compile(testDict['test'], "%s.test" % self.getPath(), 'eval')
+        self.success = testDict['success']
+        self.failure = testDict['failure']
+
+    def evalCode(self, moduleDict):
+        bindings = dict(moduleDict)
+        exec self.preamble in bindings
+        return eval(self.test, bindings)
+
+    def execute(self, grades, moduleDict, solutionDict):
+        result = self.evalCode(moduleDict)
+        result = map(lambda x: str(x), result)
+        result = ' '.join(result)
+        
+        if result == solutionDict['result']:
+            grades.addMessage('PASS: %s' % self.path)
+            grades.addMessage('\t%s' % self.success)
+            return True
+        else:
+            grades.addMessage('FAIL: %s' % self.path)
+            grades.addMessage('\t%s' % self.failure)
+            grades.addMessage('\tstudent result: "%s"' % result)
+            grades.addMessage('\tcorrect result: "%s"' % solutionDict['result'])
+
+        return False
+
+    def writeSolution(self, moduleDict, filePath):
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+        handle.write('# The result of evaluating the test must equal the below when cast to a string.\n')
+        solution = self.evalCode(moduleDict)
+        solution = map(lambda x: str(x), solution)
+        handle.write('result: "%s"\n' % ' '.join(solution))
+        handle.close()
+        return True        
+
+    def createPublicVersion(self):
+        pass
+
+def run(layout_str, pac, ghosts, disp, nGames = 1, name = 'games', maxMoves=-1, quiet = True):
+    "Runs a few games and outputs their statistics."
+
+    starttime = time.time()
+    lay = layout.Layout(layout_str)
+
+    #print '*** Running %s on' % name, layname,'%d time(s).' % nGames
+    games = busters.runGames(lay, pac, ghosts, disp, nGames, maxMoves)
+
+    #print '*** Finished running %s on' % name, layname, 'after %d seconds.' % (time.time() - starttime)
+
+    stats = {'time': time.time() - starttime, \
+      'wins': [g.state.isWin() for g in games].count(True), \
+      'games': games, 'scores': [g.state.getScore() for g in games]}
+    statTuple = (stats['wins'], len(games), sum(stats['scores']) * 1.0 / len(games))
+    if not quiet:
+        print '*** Won %d out of %d games. Average score: %f ***' % statTuple
+    return stats
+
+class InferenceAgent(bustersAgents.BustersAgent):
+    "Tracks ghosts and compares to reference inference modules, while moving randomly"
+
+    def __init__( self, inference, ghostAgents, seed, elapse=True, observe=True, burnIn=0):
+        self.inferenceModules = [inference(a) for a in ghostAgents]
+        self.elapse = elapse
+        self.observe = observe
+        self.burnIn = burnIn
+        self.numMoves = 0
+        #self.rand = rand
+        # list of tuples (move_num, move, [dist_1, dist_2, ...])
+        self.answerList = []
+        self.seed = seed
+
+    def final(self, gameState):
+        distributionList = []
+        self.numMoves += 1
+        for index,inf in enumerate(self.inferenceModules):
+            if self.observe:
+                inf.observe(gameState)
+            self.ghostBeliefs[index] = inf.getBeliefDistribution()
+            beliefCopy = copy.deepcopy(self.ghostBeliefs[index])
+            distributionList.append(beliefCopy)
+        self.answerList.append((self.numMoves, None, distributionList))
+        random.seed(self.seed + self.numMoves)
+
+    def registerInitialState(self, gameState):
+        "Initializes beliefs and inference modules"
+        for inference in self.inferenceModules: inference.initialize(gameState)
+        self.ghostBeliefs = [inf.getBeliefDistribution() for inf in self.inferenceModules]
+        self.firstMove = True
+        self.answerList.append((self.numMoves,None,copy.deepcopy(self.ghostBeliefs)))
+
+    def getAction(self, gameState):
+        "Updates beliefs, then chooses an action based on updated beliefs."
+        distributionList = []
+        self.numMoves += 1
+        for index,inf in enumerate(self.inferenceModules):
+            if self.elapse:
+                if not self.firstMove: inf.elapseTime(gameState)
+            self.firstMove = False
+            if self.observe:
+                inf.observe(gameState)
+            self.ghostBeliefs[index] = inf.getBeliefDistribution()
+            beliefCopy = copy.deepcopy(self.ghostBeliefs[index])
+            distributionList.append(beliefCopy)
+        action = random.choice([a for a in gameState.getLegalPacmanActions() if a != 'STOP'])
+        self.answerList.append((self.numMoves, action, distributionList))
+        random.seed(self.seed + self.numMoves)
+        return action
+
+
+class ZeroWeightAgent(bustersAgents.BustersAgent):
+    "Tracks ghosts and compares to reference inference modules, while moving randomly"
+
+    def __init__( self, inference, ghostAgents, grades, seed, disp, elapse=True, observe=True ):
+        self.inferenceModules = [inference(a) for a in ghostAgents]
+        self.elapse = elapse
+        self.observe = observe
+        self.grades = grades
+        self.numMoves = 0
+        self.seed = seed
+        self.display = disp
+        self.reset = False
+
+    def final(self, gameState):
+        pass
+
+    def registerInitialState(self, gameState):
+        "Initializes beliefs and inference modules"
+        for inference in self.inferenceModules: inference.initialize(gameState)
+        self.ghostBeliefs = [inf.getBeliefDistribution() for inf in self.inferenceModules]
+        self.firstMove = True
+
+    def getAction(self, gameState):
+        "Updates beliefs, then chooses an action based on updated beliefs."
+        newBeliefs = [None] * len(self.inferenceModules)
+        self.numMoves += 1
+        for index,inf in enumerate(self.inferenceModules):
+            if self.elapse:
+                if not self.firstMove: inf.elapseTime(gameState)
+            self.firstMove = False
+            if self.observe:
+                inf.observe(gameState)
+            newBeliefs[index] = inf.getBeliefDistribution()
+        self.checkReset(newBeliefs, self.ghostBeliefs)
+        self.ghostBeliefs = newBeliefs
+        self.display.updateDistributions(self.ghostBeliefs)
+        random.seed(self.seed + self.numMoves)
+        action = random.choice([a for a in gameState.getLegalPacmanActions() if a != 'STOP'])
+        return action
+
+    def checkReset(self, newBeliefs, oldBeliefs):
+        for i in range(len(newBeliefs)):
+            newKeys = filter(lambda x: newBeliefs[i][x] != 0, newBeliefs[i].keys())
+            oldKeys = filter(lambda x: oldBeliefs[i][x] != 0, oldBeliefs[i].keys())
+            if len(newKeys) > len(oldKeys):
+                self.reset = True
+
+    def getReset(self):
+        return self.reset
+
+
+class DoubleInferenceAgent(bustersAgents.BustersAgent):
+    "Tracks ghosts and compares to reference inference modules, while moving randomly"
+
+    def __init__( self, inference, refSolution, ghostAgents, grades, seed, disp, func, elapse=True, observe=True, L2Tolerance=0.2, burnIn=0, checkUniform = False):
+        self.inferenceModules = [inference(a) for a in ghostAgents]
+        self.refSolution = refSolution
+        self.func = func
+        self.elapse = elapse
+        self.observe = observe
+        self.grades = grades
+        self.L2Tolerance = L2Tolerance
+        self.errors = 0
+        self.burnIn = burnIn
+        self.numMoves = 0
+        self.seed = seed
+        self.display = disp
+        self.checkUniform = checkUniform
+
+    def final(self, gameState):
+        self.numMoves += 1
+        moveNum,action,dists = self.refSolution[self.numMoves]
+        for index,inf in enumerate(self.inferenceModules):
+            if self.observe:
+                inf.observe(gameState)
+            self.ghostBeliefs[index] = inf.getBeliefDistribution()
+            if self.numMoves >= self.burnIn:
+                self.distCompare(self.ghostBeliefs[index], dists[index])
+        self.display.updateDistributions(self.ghostBeliefs)
+        random.seed(self.seed + self.numMoves)
+        if not self.display.checkNullDisplay():
+            time.sleep(3)
+
+    def registerInitialState(self, gameState):
+        "Initializes beliefs and inference modules"
+        for inference in self.inferenceModules: inference.initialize(gameState)
+        moveNum,action,dists = self.refSolution[self.numMoves]
+        for index,inf in enumerate(self.inferenceModules):
+            self.distCompare(inf.getBeliefDistribution(), dists[index])
+        self.ghostBeliefs = [inf.getBeliefDistribution() for inf in self.inferenceModules]
+        self.firstMove = True
+
+    def getAction(self, gameState):
+        "Updates beliefs, then chooses an action based on updated beliefs."
+        self.numMoves += 1
+        moveNum,action,dists = self.refSolution[self.numMoves]
+        for index,inf in enumerate(self.inferenceModules):
+            if self.elapse:
+                if not self.firstMove: inf.elapseTime(gameState)
+            self.firstMove = False
+            if self.observe:
+                inf.observe(gameState)
+            self.ghostBeliefs[index] = inf.getBeliefDistribution()
+            if self.numMoves >= self.burnIn: self.distCompare(self.ghostBeliefs[index], dists[index])
+        self.display.updateDistributions(self.ghostBeliefs)
+        random.seed(self.seed + self.numMoves)
+        return action
+
+    def distCompare(self, dist, refDist):
+        "Compares two distributions"
+        # copy and prepare distributions
+        dist = dist.copy()
+        refDist = refDist.copy()
+        for key in set(refDist.keys() + dist.keys()):
+            if not key in dist.keys():
+                dist[key] = 0.0
+            if not key in refDist.keys():
+                refDist[key] = 0.0
+        # calculate l2 difference
+        if sum(refDist.values()) == 0 and self.func != 'ExactInference':
+            for key in refDist:
+                if key[1] != 1:
+                    refDist[key] = 1.0 / float(len(refDist))
+        l2 = 0
+        for k in refDist.keys():
+            l2 += (dist[k] - refDist[k]) ** 2
+        if l2 > self.L2Tolerance:
+            if self.errors == 0:
+                t = (self.grades.currentQuestion, self.numMoves, l2)
+                summary = "%s) Distribution deviated at move %d by %0.4f (squared norm) from the correct answer.\n" % t
+                header = '%10s%5s%-25s%-25s\n' % ('key:', '', 'student', 'reference')
+                detail = '\n'.join(map(lambda x: '%9s:%5s%-25s%-25s' % (x, '', dist[x], refDist[x]), set(dist.keys() + refDist.keys())))
+                print dist.items()
+                print refDist.items()
+                self.grades.fail('%s%s%s' % (summary, header, detail))
+            self.errors += 1
+        # check for uniform distribution if necessary
+        if self.checkUniform:
+            if abs(max(dist.values()) - max(refDist.values())) > .0025:
+                if self.errors == 0:
+                    self.grades.fail('%s) Distributions do not have the same max value and are therefore not uniform.\n\tstudent max: %f\n\treference max: %f' % (self.grades.currentQuestion, max(dist.values()), max(refDist.values())))
+                    self.errors += 1
+
+class SeededRandomGhostAgent(Agent):
+    def __init__(self, index):
+        self.index = index;
+
+    def getAction(self, state):
+        dist = util.Counter()
+        for a in state.getLegalActions( self.index ): dist[a] = 1.0
+        dist.normalize()
+        if len(dist) == 0:
+            return Directions.STOP
+        else:
+            action = self.sample( dist )
+            return action
+
+    def getDistribution( self, state ):
+        dist = util.Counter()
+        for a in state.getLegalActions( self.index ): dist[a] = 1.0
+        dist.normalize()
+        return dist
+
+    def sample(self, distribution, values = None):
+        if type(distribution) == util.Counter:
+            items = distribution.items()
+            distribution = [i[1] for i in items]
+            values = [i[0] for i in items]
+        if sum(distribution) != 1:
+            distribution = normalize(distribution)
+        choice = random.random()
+        i, total= 0, distribution[0]
+        while choice > total:
+            i += 1
+            total += distribution[i]
+        return values[i]
+
+class GoSouthAgent(Agent):
+    def __init__(self, index):
+        self.index = index;
+
+    def getAction(self, state):
+        dist = util.Counter()
+        for a in state.getLegalActions( self.index ):
+            dist[a] = 1.0
+        if Directions.SOUTH in dist.keys():
+            dist[Directions.SOUTH] *= 2
+        dist.normalize()
+        if len(dist) == 0:
+            return Directions.STOP
+        else:
+            action = self.sample( dist )
+            return action
+
+    def getDistribution( self, state ):
+        dist = util.Counter()
+        for a in state.getLegalActions( self.index ):
+            dist[a] = 1.0
+        if Directions.SOUTH in dist.keys():
+            dist[Directions.SOUTH] *= 2
+        dist.normalize()
+        return dist
+
+    def sample(self, distribution, values = None):
+        if type(distribution) == util.Counter:
+            items = distribution.items()
+            distribution = [i[1] for i in items]
+            values = [i[0] for i in items]
+        if sum(distribution) != 1:
+            distribution = util.normalize(distribution)
+        choice = random.random()
+        i, total= 0, distribution[0]
+        while choice > total:
+            i += 1
+            total += distribution[i]
+        return values[i]
+
+class DispersingSeededGhost( Agent):
+    "Chooses an action that distances the ghost from the other ghosts with probability spreadProb."
+    def __init__( self, index, spreadProb=0.5):
+        self.index = index
+        self.spreadProb = spreadProb
+
+    def getAction(self, state):
+        dist = self.getDistribution(state);
+        if len(dist) == 0:
+            return Directions.STOP
+        else:
+            action = self.sample( dist )
+            return action
+
+    def getDistribution( self, state ):
+        ghostState = state.getGhostState( self.index )
+        legalActions = state.getLegalActions( self.index )
+        pos = state.getGhostPosition( self.index )
+        isScared = ghostState.scaredTimer > 0
+
+        speed = 1
+        if isScared: speed = 0.5
+        actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions]
+        newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors]
+
+        # get other ghost positions
+        others = [i for i in range(1,state.getNumAgents()) if i != self.index]
+        for a in others: assert state.getGhostState(a) != None, "Ghost position unspecified in state!"
+        otherGhostPositions = [state.getGhostPosition(a) for a in others if state.getGhostPosition(a)[1] > 1]
+
+        # for each action, get the sum of inverse squared distances to the other ghosts
+        sumOfDistances = []
+        for pos in newPositions:
+            sumOfDistances.append( sum([(1+manhattanDistance(pos, g))**(-2) for g in otherGhostPositions]) )
+
+        bestDistance = min(sumOfDistances)
+        numBest = [bestDistance == dist for dist in sumOfDistances].count(True)
+        distribution = util.Counter()
+        for action, distance in zip(legalActions, sumOfDistances):
+            if distance == bestDistance: distribution[action] += self.spreadProb / numBest
+            distribution[action] += (1 - self.spreadProb) / len(legalActions)
+        return distribution
+
+    def sample(self, distribution, values = None):
+        if type(distribution) == util.Counter:
+            items = distribution.items()
+            distribution = [i[1] for i in items]
+            values = [i[0] for i in items]
+        if sum(distribution) != 1:
+            distribution = util.normalize(distribution)
+        choice = random.random()
+        i, total= 0, distribution[0]
+        while choice > total:
+            i += 1
+            total += distribution[i]
+        return values[i]
diff --git a/cs188-projects-master/P5 Ghostbusters/tracking_fa14TestClasses.pyc b/cs188-projects-master/P5 Ghostbusters/tracking_fa14TestClasses.pyc
new file mode 100644
index 0000000..70dce2f
Binary files /dev/null and b/cs188-projects-master/P5 Ghostbusters/tracking_fa14TestClasses.pyc differ
diff --git a/cs188-projects-master/P5 Ghostbusters/util.py b/cs188-projects-master/P5 Ghostbusters/util.py
new file mode 100644
index 0000000..5b066ed
--- /dev/null
+++ b/cs188-projects-master/P5 Ghostbusters/util.py	
@@ -0,0 +1,674 @@
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import inspect
+import heapq, random
+import cStringIO
+
+
+class FixedRandom:
+    def __init__(self):
+        fixedState = (3, (2147483648L, 507801126L, 683453281L, 310439348L, 2597246090L, \
+            2209084787L, 2267831527L, 979920060L, 3098657677L, 37650879L, 807947081L, 3974896263L, \
+            881243242L, 3100634921L, 1334775171L, 3965168385L, 746264660L, 4074750168L, 500078808L, \
+            776561771L, 702988163L, 1636311725L, 2559226045L, 157578202L, 2498342920L, 2794591496L, \
+            4130598723L, 496985844L, 2944563015L, 3731321600L, 3514814613L, 3362575829L, 3038768745L, \
+            2206497038L, 1108748846L, 1317460727L, 3134077628L, 988312410L, 1674063516L, 746456451L, \
+            3958482413L, 1857117812L, 708750586L, 1583423339L, 3466495450L, 1536929345L, 1137240525L, \
+            3875025632L, 2466137587L, 1235845595L, 4214575620L, 3792516855L, 657994358L, 1241843248L, \
+            1695651859L, 3678946666L, 1929922113L, 2351044952L, 2317810202L, 2039319015L, 460787996L, \
+            3654096216L, 4068721415L, 1814163703L, 2904112444L, 1386111013L, 574629867L, 2654529343L, \
+            3833135042L, 2725328455L, 552431551L, 4006991378L, 1331562057L, 3710134542L, 303171486L, \
+            1203231078L, 2670768975L, 54570816L, 2679609001L, 578983064L, 1271454725L, 3230871056L, \
+            2496832891L, 2944938195L, 1608828728L, 367886575L, 2544708204L, 103775539L, 1912402393L, \
+            1098482180L, 2738577070L, 3091646463L, 1505274463L, 2079416566L, 659100352L, 839995305L, \
+            1696257633L, 274389836L, 3973303017L, 671127655L, 1061109122L, 517486945L, 1379749962L, \
+            3421383928L, 3116950429L, 2165882425L, 2346928266L, 2892678711L, 2936066049L, 1316407868L, \
+            2873411858L, 4279682888L, 2744351923L, 3290373816L, 1014377279L, 955200944L, 4220990860L, \
+            2386098930L, 1772997650L, 3757346974L, 1621616438L, 2877097197L, 442116595L, 2010480266L, \
+            2867861469L, 2955352695L, 605335967L, 2222936009L, 2067554933L, 4129906358L, 1519608541L, \
+            1195006590L, 1942991038L, 2736562236L, 279162408L, 1415982909L, 4099901426L, 1732201505L, \
+            2934657937L, 860563237L, 2479235483L, 3081651097L, 2244720867L, 3112631622L, 1636991639L, \
+            3860393305L, 2312061927L, 48780114L, 1149090394L, 2643246550L, 1764050647L, 3836789087L, \
+            3474859076L, 4237194338L, 1735191073L, 2150369208L, 92164394L, 756974036L, 2314453957L, \
+            323969533L, 4267621035L, 283649842L, 810004843L, 727855536L, 1757827251L, 3334960421L, \
+            3261035106L, 38417393L, 2660980472L, 1256633965L, 2184045390L, 811213141L, 2857482069L, \
+            2237770878L, 3891003138L, 2787806886L, 2435192790L, 2249324662L, 3507764896L, 995388363L, \
+            856944153L, 619213904L, 3233967826L, 3703465555L, 3286531781L, 3863193356L, 2992340714L, \
+            413696855L, 3865185632L, 1704163171L, 3043634452L, 2225424707L, 2199018022L, 3506117517L, \
+            3311559776L, 3374443561L, 1207829628L, 668793165L, 1822020716L, 2082656160L, 1160606415L, \
+            3034757648L, 741703672L, 3094328738L, 459332691L, 2702383376L, 1610239915L, 4162939394L, \
+            557861574L, 3805706338L, 3832520705L, 1248934879L, 3250424034L, 892335058L, 74323433L, \
+            3209751608L, 3213220797L, 3444035873L, 3743886725L, 1783837251L, 610968664L, 580745246L, \
+            4041979504L, 201684874L, 2673219253L, 1377283008L, 3497299167L, 2344209394L, 2304982920L, \
+            3081403782L, 2599256854L, 3184475235L, 3373055826L, 695186388L, 2423332338L, 222864327L, \
+            1258227992L, 3627871647L, 3487724980L, 4027953808L, 3053320360L, 533627073L, 3026232514L, \
+            2340271949L, 867277230L, 868513116L, 2158535651L, 2487822909L, 3428235761L, 3067196046L, \
+            3435119657L, 1908441839L, 788668797L, 3367703138L, 3317763187L, 908264443L, 2252100381L, \
+            764223334L, 4127108988L, 384641349L, 3377374722L, 1263833251L, 1958694944L, 3847832657L, \
+            1253909612L, 1096494446L, 555725445L, 2277045895L, 3340096504L, 1383318686L, 4234428127L, \
+            1072582179L, 94169494L, 1064509968L, 2681151917L, 2681864920L, 734708852L, 1338914021L, \
+            1270409500L, 1789469116L, 4191988204L, 1716329784L, 2213764829L, 3712538840L, 919910444L, \
+            1318414447L, 3383806712L, 3054941722L, 3378649942L, 1205735655L, 1268136494L, 2214009444L, \
+            2532395133L, 3232230447L, 230294038L, 342599089L, 772808141L, 4096882234L, 3146662953L, \
+            2784264306L, 1860954704L, 2675279609L, 2984212876L, 2466966981L, 2627986059L, 2985545332L, \
+            2578042598L, 1458940786L, 2944243755L, 3959506256L, 1509151382L, 325761900L, 942251521L, \
+            4184289782L, 2756231555L, 3297811774L, 1169708099L, 3280524138L, 3805245319L, 3227360276L, \
+            3199632491L, 2235795585L, 2865407118L, 36763651L, 2441503575L, 3314890374L, 1755526087L, \
+            17915536L, 1196948233L, 949343045L, 3815841867L, 489007833L, 2654997597L, 2834744136L, \
+            417688687L, 2843220846L, 85621843L, 747339336L, 2043645709L, 3520444394L, 1825470818L, \
+            647778910L, 275904777L, 1249389189L, 3640887431L, 4200779599L, 323384601L, 3446088641L, \
+            4049835786L, 1718989062L, 3563787136L, 44099190L, 3281263107L, 22910812L, 1826109246L, \
+            745118154L, 3392171319L, 1571490704L, 354891067L, 815955642L, 1453450421L, 940015623L, \
+            796817754L, 1260148619L, 3898237757L, 176670141L, 1870249326L, 3317738680L, 448918002L, \
+            4059166594L, 2003827551L, 987091377L, 224855998L, 3520570137L, 789522610L, 2604445123L, \
+            454472869L, 475688926L, 2990723466L, 523362238L, 3897608102L, 806637149L, 2642229586L, \
+            2928614432L, 1564415411L, 1691381054L, 3816907227L, 4082581003L, 1895544448L, 3728217394L, \
+            3214813157L, 4054301607L, 1882632454L, 2873728645L, 3694943071L, 1297991732L, 2101682438L, \
+            3952579552L, 678650400L, 1391722293L, 478833748L, 2976468591L, 158586606L, 2576499787L, \
+            662690848L, 3799889765L, 3328894692L, 2474578497L, 2383901391L, 1718193504L, 3003184595L, \
+            3630561213L, 1929441113L, 3848238627L, 1594310094L, 3040359840L, 3051803867L, 2462788790L, \
+            954409915L, 802581771L, 681703307L, 545982392L, 2738993819L, 8025358L, 2827719383L, \
+            770471093L, 3484895980L, 3111306320L, 3900000891L, 2116916652L, 397746721L, 2087689510L, \
+            721433935L, 1396088885L, 2751612384L, 1998988613L, 2135074843L, 2521131298L, 707009172L, \
+            2398321482L, 688041159L, 2264560137L, 482388305L, 207864885L, 3735036991L, 3490348331L, \
+            1963642811L, 3260224305L, 3493564223L, 1939428454L, 1128799656L, 1366012432L, 2858822447L, \
+            1428147157L, 2261125391L, 1611208390L, 1134826333L, 2374102525L, 3833625209L, 2266397263L, \
+            3189115077L, 770080230L, 2674657172L, 4280146640L, 3604531615L, 4235071805L, 3436987249L, \
+            509704467L, 2582695198L, 4256268040L, 3391197562L, 1460642842L, 1617931012L, 457825497L, \
+            1031452907L, 1330422862L, 4125947620L, 2280712485L, 431892090L, 2387410588L, 2061126784L, \
+            896457479L, 3480499461L, 2488196663L, 4021103792L, 1877063114L, 2744470201L, 1046140599L, \
+            2129952955L, 3583049218L, 4217723693L, 2720341743L, 820661843L, 1079873609L, 3360954200L, \
+            3652304997L, 3335838575L, 2178810636L, 1908053374L, 4026721976L, 1793145418L, 476541615L, \
+            973420250L, 515553040L, 919292001L, 2601786155L, 1685119450L, 3030170809L, 1590676150L, \
+            1665099167L, 651151584L, 2077190587L, 957892642L, 646336572L, 2743719258L, 866169074L, \
+            851118829L, 4225766285L, 963748226L, 799549420L, 1955032629L, 799460000L, 2425744063L, \
+            2441291571L, 1928963772L, 528930629L, 2591962884L, 3495142819L, 1896021824L, 901320159L, \
+            3181820243L, 843061941L, 3338628510L, 3782438992L, 9515330L, 1705797226L, 953535929L, \
+            764833876L, 3202464965L, 2970244591L, 519154982L, 3390617541L, 566616744L, 3438031503L, \
+            1853838297L, 170608755L, 1393728434L, 676900116L, 3184965776L, 1843100290L, 78995357L, \
+            2227939888L, 3460264600L, 1745705055L, 1474086965L, 572796246L, 4081303004L, 882828851L, \
+            1295445825L, 137639900L, 3304579600L, 2722437017L, 4093422709L, 273203373L, 2666507854L, \
+            3998836510L, 493829981L, 1623949669L, 3482036755L, 3390023939L, 833233937L, 1639668730L, \
+            1499455075L, 249728260L, 1210694006L, 3836497489L, 1551488720L, 3253074267L, 3388238003L, \
+            2372035079L, 3945715164L, 2029501215L, 3362012634L, 2007375355L, 4074709820L, 631485888L, \
+            3135015769L, 4273087084L, 3648076204L, 2739943601L, 1374020358L, 1760722448L, 3773939706L, \
+            1313027823L, 1895251226L, 4224465911L, 421382535L, 1141067370L, 3660034846L, 3393185650L, \
+            1850995280L, 1451917312L, 3841455409L, 3926840308L, 1397397252L, 2572864479L, 2500171350L, \
+            3119920613L, 531400869L, 1626487579L, 1099320497L, 407414753L, 2438623324L, 99073255L, \
+            3175491512L, 656431560L, 1153671785L, 236307875L, 2824738046L, 2320621382L, 892174056L, \
+            230984053L, 719791226L, 2718891946L, 624L), None)
+        self.random = random.Random()
+        self.random.setstate(fixedState)
+
+"""
+ Data structures useful for implementing SearchAgents
+"""
+
+class Stack:
+    "A container with a last-in-first-out (LIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Push 'item' onto the stack"
+        self.list.append(item)
+
+    def pop(self):
+        "Pop the most recently pushed item from the stack"
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the stack is empty"
+        return len(self.list) == 0
+
+class Queue:
+    "A container with a first-in-first-out (FIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Enqueue the 'item' into the queue"
+        self.list.insert(0,item)
+
+    def pop(self):
+        """
+          Dequeue the earliest enqueued item still in the queue. This
+          operation removes the item from the queue.
+        """
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the queue is empty"
+        return len(self.list) == 0
+
+class PriorityQueue:
+    """
+      Implements a priority queue data structure. Each inserted item
+      has a priority associated with it and the client is usually interested
+      in quick retrieval of the lowest-priority item in the queue. This
+      data structure allows O(1) access to the lowest-priority item.
+    """
+    def  __init__(self):
+        self.heap = []
+        self.count = 0
+
+    def push(self, item, priority):
+        entry = (priority, self.count, item)
+        heapq.heappush(self.heap, entry)
+        self.count += 1
+
+    def pop(self):
+        (_, _, item) = heapq.heappop(self.heap)
+        return item
+
+    def isEmpty(self):
+        return len(self.heap) == 0
+
+    def update(self, item, priority):
+        # If item already in priority queue with higher priority, update its priority and rebuild the heap.
+        # If item already in priority queue with equal or lower priority, do nothing.
+        # If item not in priority queue, do the same thing as self.push.
+        for index, (p, c, i) in enumerate(self.heap):
+            if i == item:
+                if p <= priority:
+                    break
+                del self.heap[index]
+                self.heap.append((priority, c, item))
+                heapq.heapify(self.heap)
+                break
+        else:
+            self.push(item, priority)
+
+class PriorityQueueWithFunction(PriorityQueue):
+    """
+    Implements a priority queue with the same push/pop signature of the
+    Queue and the Stack classes. This is designed for drop-in replacement for
+    those two classes. The caller has to provide a priority function, which
+    extracts each item's priority.
+    """
+    def  __init__(self, priorityFunction):
+        "priorityFunction (item) -> priority"
+        self.priorityFunction = priorityFunction      # store the priority function
+        PriorityQueue.__init__(self)        # super-class initializer
+
+    def push(self, item):
+        "Adds an item to the queue with priority from the priority function"
+        PriorityQueue.push(self, item, self.priorityFunction(item))
+
+
+def manhattanDistance( xy1, xy2 ):
+    "Returns the Manhattan distance between points xy1 and xy2"
+    return abs( xy1[0] - xy2[0] ) + abs( xy1[1] - xy2[1] )
+
+"""
+  Data structures and functions useful for various course projects
+
+  The search project should not need anything below this line.
+"""
+
+class Counter(dict):
+    """
+    A counter keeps track of counts for a set of keys.
+
+    The counter class is an extension of the standard python
+    dictionary type.  It is specialized to have number values
+    (integers or floats), and includes a handful of additional
+    functions to ease the task of counting data.  In particular,
+    all keys are defaulted to have value 0.  Using a dictionary:
+
+    a = {}
+    print a['test']
+
+    would give an error, while the Counter class analogue:
+
+    >>> a = Counter()
+    >>> print a['test']
+    0
+
+    returns the default 0 value. Note that to reference a key
+    that you know is contained in the counter,
+    you can still use the dictionary syntax:
+
+    >>> a = Counter()
+    >>> a['test'] = 2
+    >>> print a['test']
+    2
+
+    This is very useful for counting things without initializing their counts,
+    see for example:
+
+    >>> a['blah'] += 1
+    >>> print a['blah']
+    1
+
+    The counter also includes additional functionality useful in implementing
+    the classifiers for this assignment.  Two counters can be added,
+    subtracted or multiplied together.  See below for details.  They can
+    also be normalized and their total count and arg max can be extracted.
+    """
+    def __getitem__(self, idx):
+        self.setdefault(idx, 0)
+        return dict.__getitem__(self, idx)
+
+    def incrementAll(self, keys, count):
+        """
+        Increments all elements of keys by the same count.
+
+        >>> a = Counter()
+        >>> a.incrementAll(['one','two', 'three'], 1)
+        >>> a['one']
+        1
+        >>> a['two']
+        1
+        """
+        for key in keys:
+            self[key] += count
+
+    def argMax(self):
+        """
+        Returns the key with the highest value.
+        """
+        if len(self.keys()) == 0: return None
+        all = self.items()
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def sortedKeys(self):
+        """
+        Returns a list of keys sorted by their values.  Keys
+        with the highest values will appear first.
+
+        >>> a = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> a['third'] = 1
+        >>> a.sortedKeys()
+        ['second', 'third', 'first']
+        """
+        sortedItems = self.items()
+        compare = lambda x, y:  sign(y[1] - x[1])
+        sortedItems.sort(cmp=compare)
+        return [x[0] for x in sortedItems]
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
+
+    def normalize(self):
+        """
+        Edits the counter such that the total count of all
+        keys sums to 1.  The ratio of counts for all keys
+        will remain the same. Note that normalizing an empty
+        Counter will result in an error.
+        """
+        total = float(self.totalCount())
+        if total == 0: return
+        for key in self.keys():
+            self[key] = self[key] / total
+
+    def divideAll(self, divisor):
+        """
+        Divides all counts by divisor
+        """
+        divisor = float(divisor)
+        for key in self:
+            self[key] /= divisor
+
+    def copy(self):
+        """
+        Returns a copy of the counter
+        """
+        return Counter(dict.copy(self))
+
+    def __mul__(self, y ):
+        """
+        Multiplying two counters gives the dot product of their vectors where
+        each unique label is a vector element.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['second'] = 5
+        >>> a['third'] = 1.5
+        >>> a['fourth'] = 2.5
+        >>> a * b
+        14
+        """
+        sum = 0
+        x = self
+        if len(x) > len(y):
+            x,y = y,x
+        for key in x:
+            if key not in y:
+                continue
+            sum += x[key] * y[key]
+        return sum
+
+    def __radd__(self, y):
+        """
+        Adding another counter to a counter increments the current counter
+        by the values stored in the second counter.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> a += b
+        >>> a['first']
+        1
+        """
+        for key, value in y.items():
+            self[key] += value
+
+    def __add__( self, y ):
+        """
+        Adding two counters gives a counter with the union of all keys and
+        counts of the second added to counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a + b)['first']
+        1
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] + y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = y[key]
+        return addend
+
+    def __sub__( self, y ):
+        """
+        Subtracting a counter from another gives a counter with the union of all keys and
+        counts of the second subtracted from counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a - b)['first']
+        -5
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] - y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = -1 * y[key]
+        return addend
+
+def raiseNotDefined():
+    fileName = inspect.stack()[1][1]
+    line = inspect.stack()[1][2]
+    method = inspect.stack()[1][3]
+
+    print "*** Method not implemented: %s at line %s of %s" % (method, line, fileName)
+    sys.exit(1)
+
+def normalize(vectorOrCounter):
+    """
+    normalize a vector or counter by dividing each value by the sum of all values
+    """
+    normalizedCounter = Counter()
+    if type(vectorOrCounter) == type(normalizedCounter):
+        counter = vectorOrCounter
+        total = float(counter.totalCount())
+        if total == 0: return counter
+        for key in counter.keys():
+            value = counter[key]
+            normalizedCounter[key] = value / total
+        return normalizedCounter
+    else:
+        vector = vectorOrCounter
+        s = float(sum(vector))
+        if s == 0: return vector
+        return [el / s for el in vector]
+
+def nSample(distribution, values, n):
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    rand = [random.random() for i in range(n)]
+    rand.sort()
+    samples = []
+    samplePos, distPos, cdf = 0,0, distribution[0]
+    while samplePos < n:
+        if rand[samplePos] < cdf:
+            samplePos += 1
+            samples.append(values[distPos])
+        else:
+            distPos += 1
+            cdf += distribution[distPos]
+    return samples
+
+def sample(distribution, values = None):
+    if type(distribution) == Counter:
+        items = sorted(distribution.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    choice = random.random()
+    i, total= 0, distribution[0]
+    while choice > total:
+        i += 1
+        total += distribution[i]
+    return values[i]
+
+def sampleFromCounter(ctr):
+    items = sorted(ctr.items())
+    return sample([v for k,v in items], [k for k,v in items])
+
+def getProbability(value, distribution, values):
+    """
+      Gives the probability of a value under a discrete distribution
+      defined by (distributions, values).
+    """
+    total = 0.0
+    for prob, val in zip(distribution, values):
+        if val == value:
+            total += prob
+    return total
+
+def flipCoin( p ):
+    r = random.random()
+    return r < p
+
+def chooseFromDistribution( distribution ):
+    "Takes either a counter or a list of (prob, key) pairs and samples"
+    if type(distribution) == dict or type(distribution) == Counter:
+        return sample(distribution)
+    r = random.random()
+    base = 0.0
+    for prob, element in distribution:
+        base += prob
+        if r <= base: return element
+
+def nearestPoint( pos ):
+    """
+    Finds the nearest grid point to a position (discretizes).
+    """
+    ( current_row, current_col ) = pos
+
+    grid_row = int( current_row + 0.5 )
+    grid_col = int( current_col + 0.5 )
+    return ( grid_row, grid_col )
+
+def sign( x ):
+    """
+    Returns 1 or -1 depending on the sign of x
+    """
+    if( x >= 0 ):
+        return 1
+    else:
+        return -1
+
+def arrayInvert(array):
+    """
+    Inverts a matrix stored as a list of lists.
+    """
+    result = [[] for i in array]
+    for outer in array:
+        for inner in range(len(outer)):
+            result[inner].append(outer[inner])
+    return result
+
+def matrixAsList( matrix, value = True ):
+    """
+    Turns a matrix into a list of coordinates matching the specified value
+    """
+    rows, cols = len( matrix ), len( matrix[0] )
+    cells = []
+    for row in range( rows ):
+        for col in range( cols ):
+            if matrix[row][col] == value:
+                cells.append( ( row, col ) )
+    return cells
+
+def lookup(name, namespace):
+    """
+    Get a method or class from any imported module from its name.
+    Usage: lookup(functionName, globals())
+    """
+    dots = name.count('.')
+    if dots > 0:
+        moduleName, objName = '.'.join(name.split('.')[:-1]), name.split('.')[-1]
+        module = __import__(moduleName)
+        return getattr(module, objName)
+    else:
+        modules = [obj for obj in namespace.values() if str(type(obj)) == ""]
+        options = [getattr(module, name) for module in modules if name in dir(module)]
+        options += [obj[1] for obj in namespace.items() if obj[0] == name ]
+        if len(options) == 1: return options[0]
+        if len(options) > 1: raise Exception, 'Name conflict for %s'
+        raise Exception, '%s not found as a method or class' % name
+
+def pause():
+    """
+    Pauses the output stream awaiting user feedback.
+    """
+    print ""
+    raw_input()
+
+
+# code to handle timeouts
+#
+# FIXME
+# NOTE: TimeoutFuncton is NOT reentrant.  Later timeouts will silently
+# disable earlier timeouts.  Could be solved by maintaining a global list
+# of active time outs.  Currently, questions which have test cases calling
+# this have all student code so wrapped.
+#
+import signal
+import time
+class TimeoutFunctionException(Exception):
+    """Exception to raise on a timeout"""
+    pass
+
+
+class TimeoutFunction:
+    def __init__(self, function, timeout):
+        self.timeout = timeout
+        self.function = function
+
+    def handle_timeout(self, signum, frame):
+        raise TimeoutFunctionException()
+
+    def __call__(self, *args, **keyArgs):
+        # If we have SIGALRM signal, use it to cause an exception if and
+        # when this function runs too long.  Otherwise check the time taken
+        # after the method has returned, and throw an exception then.
+        if hasattr(signal, 'SIGALRM'):
+            old = signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.alarm(self.timeout)
+            try:
+                result = self.function(*args, **keyArgs)
+            finally:
+                signal.signal(signal.SIGALRM, old)
+            signal.alarm(0)
+        else:
+            startTime = time.time()
+            result = self.function(*args, **keyArgs)
+            timeElapsed = time.time() - startTime
+            if timeElapsed >= self.timeout:
+                self.handle_timeout(None, None)
+        return result
+
+
+
+_ORIGINAL_STDOUT = None
+_ORIGINAL_STDERR = None
+_MUTED = False
+
+class WritableNull:
+    def write(self, string):
+        pass
+
+def mutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if _MUTED:
+        return
+    _MUTED = True
+
+    _ORIGINAL_STDOUT = sys.stdout
+    #_ORIGINAL_STDERR = sys.stderr
+    sys.stdout = WritableNull()
+    #sys.stderr = WritableNull()
+
+def unmutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if not _MUTED:
+        return
+    _MUTED = False
+
+    sys.stdout = _ORIGINAL_STDOUT
+    #sys.stderr = _ORIGINAL_STDERR
+
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diff --git a/cs188-projects-master/P6 Classification/answers.py b/cs188-projects-master/P6 Classification/answers.py
new file mode 100644
index 0000000..d191aa3
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/answers.py	
@@ -0,0 +1,48 @@
+# answers.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import util
+
+
+def q2():
+    "*** YOUR CODE HERE ***"
+    return 'b'
+
+def q3():
+    "*** YOUR CODE HERE ***"
+    return 'a'
+
+def q7():
+    "*** YOUR CODE HERE ***"
+    return 'both'
+
+def q10():
+    """
+    Returns a dict of hyperparameters.
+
+    Returns:
+        A dict with the learning rate and momentum.
+
+    You should find the hyperparameters by empirically finding the values that
+    give you the best validation accuracy when the model is optimized for 1000
+    iterations. You should achieve at least a 97% accuracy on the MNIST test set.
+    """
+    hyperparams = dict()
+    hyperparams['learning_rate'] = 0.01
+    hyperparams['momentum'] = 0.9
+    "*** YOUR CODE HERE ***"
+    # filter out any item in the dict that is not the learning rate nor momentum
+    allowed_hyperparams = ['learning_rate', 'momentum']
+    hyperparams = dict([(k, v) for (k, v) in hyperparams.items() if k in allowed_hyperparams])
+    return hyperparams
diff --git a/cs188-projects-master/P6 Classification/answers.pyc b/cs188-projects-master/P6 Classification/answers.pyc
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index 0000000..7ce2d91
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diff --git a/cs188-projects-master/P6 Classification/autograder.py b/cs188-projects-master/P6 Classification/autograder.py
new file mode 100644
index 0000000..bbee6e6
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/autograder.py	
@@ -0,0 +1,339 @@
+# autograder.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# imports from python standard library
+import grading
+import imp
+import optparse
+import os
+import re
+import sys
+import projectParams
+import random
+random.seed(0)
+try: 
+    from pacman import GameState
+except:
+    pass
+
+# register arguments and set default values
+def readCommand(argv):
+    parser = optparse.OptionParser(description = 'Run public tests on student code')
+    parser.set_defaults(generateSolutions=False, edxOutput=False, gsOutput=False, muteOutput=False, printTestCase=False, noGraphics=False)
+    parser.add_option('--test-directory',
+                      dest = 'testRoot',
+                      default = 'test_cases',
+                      help = 'Root test directory which contains subdirectories corresponding to each question')
+    parser.add_option('--student-code',
+                      dest = 'studentCode',
+                      default = projectParams.STUDENT_CODE_DEFAULT,
+                      help = 'comma separated list of student code files')
+    parser.add_option('--code-directory',
+                    dest = 'codeRoot',
+                    default = "",
+                    help = 'Root directory containing the student and testClass code')
+    parser.add_option('--test-case-code',
+                      dest = 'testCaseCode',
+                      default = projectParams.PROJECT_TEST_CLASSES,
+                      help = 'class containing testClass classes for this project')
+    parser.add_option('--generate-solutions',
+                      dest = 'generateSolutions',
+                      action = 'store_true',
+                      help = 'Write solutions generated to .solution file')
+    parser.add_option('--edx-output',
+                    dest = 'edxOutput',
+                    action = 'store_true',
+                    help = 'Generate edX output files')
+    parser.add_option('--gradescope-output',
+                    dest = 'gsOutput',
+                    action = 'store_true',
+                    help = 'Generate GradeScope output files')
+    parser.add_option('--mute',
+                    dest = 'muteOutput',
+                    action = 'store_true',
+                    help = 'Mute output from executing tests')
+    parser.add_option('--print-tests', '-p',
+                    dest = 'printTestCase',
+                    action = 'store_true',
+                    help = 'Print each test case before running them.')
+    parser.add_option('--test', '-t',
+                      dest = 'runTest',
+                      default = None,
+                      help = 'Run one particular test.  Relative to test root.')
+    parser.add_option('--question', '-q',
+                    dest = 'gradeQuestion',
+                    default = None,
+                    help = 'Grade one particular question.')
+    parser.add_option('--no-graphics',
+                    dest = 'noGraphics',
+                    action = 'store_true',
+                    help = 'No graphics display for pacman games.')
+    (options, args) = parser.parse_args(argv)
+    return options
+
+
+# confirm we should author solution files
+def confirmGenerate():
+    print 'WARNING: this action will overwrite any solution files.'
+    print 'Are you sure you want to proceed? (yes/no)'
+    while True:
+        ans = sys.stdin.readline().strip()
+        if ans == 'yes':
+            break
+        elif ans == 'no':
+            sys.exit(0)
+        else:
+            print 'please answer either "yes" or "no"'
+
+
+# TODO: Fix this so that it tracebacks work correctly
+# Looking at source of the traceback module, presuming it works
+# the same as the intepreters, it uses co_filename.  This is,
+# however, a readonly attribute.
+def setModuleName(module, filename):
+    functionType = type(confirmGenerate)
+    classType = type(optparse.Option)
+
+    for i in dir(module):
+        o = getattr(module, i)
+        if hasattr(o, '__file__'): continue
+
+        if type(o) == functionType:
+            setattr(o, '__file__', filename)
+        elif type(o) == classType:
+            setattr(o, '__file__', filename)
+            # TODO: assign member __file__'s?
+        #print i, type(o)
+
+
+#from cStringIO import StringIO
+
+def loadModuleString(moduleSource):
+    # Below broken, imp doesn't believe its being passed a file:
+    #    ValueError: load_module arg#2 should be a file or None
+    #
+    #f = StringIO(moduleCodeDict[k])
+    #tmp = imp.load_module(k, f, k, (".py", "r", imp.PY_SOURCE))
+    tmp = imp.new_module(k)
+    exec moduleCodeDict[k] in tmp.__dict__
+    setModuleName(tmp, k)
+    return tmp
+
+import py_compile
+
+def loadModuleFile(moduleName, filePath):
+    with open(filePath, 'r') as f:
+        return imp.load_module(moduleName, f, "%s.py" % moduleName, (".py", "r", imp.PY_SOURCE))
+
+
+def readFile(path, root=""):
+    "Read file from disk at specified path and return as string"
+    with open(os.path.join(root, path), 'r') as handle:
+        return handle.read()
+
+
+#######################################################################
+# Error Hint Map
+#######################################################################
+
+# TODO: use these
+ERROR_HINT_MAP = {}
+
+import pprint
+
+def splitStrings(d):
+    d2 = dict(d)
+    for k in d:
+        if k[0:2] == "__":
+            del d2[k]
+            continue
+        if d2[k].find("\n") >= 0:
+            d2[k] = d2[k].split("\n")
+    return d2
+
+
+def printTest(testDict, solutionDict):
+    pp = pprint.PrettyPrinter(indent=4)
+    print "Test case:"
+    for line in testDict["__raw_lines__"]:
+        print "   |", line
+    print "Solution:"
+    for line in solutionDict["__raw_lines__"]:
+        print "   |", line
+
+
+def runTest(testName, moduleDict, printTestCase=False, display=None):
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    testDict = testParser.TestParser(testName + ".test").parse()
+    solutionDict = testParser.TestParser(testName + ".solution").parse()
+    test_out_file = os.path.join('%s.test_output' % testName)
+    testDict['test_out_file'] = test_out_file
+    testClass = getattr(projectTestClasses, testDict['class'])
+
+    questionClass = getattr(testClasses, 'Question')
+    question = questionClass({'max_points': 0}, display)
+    testCase = testClass(question, testDict)
+
+    if printTestCase:
+        printTest(testDict, solutionDict)
+
+    # This is a fragile hack to create a stub grades object
+    grades = grading.Grades(projectParams.PROJECT_NAME, [(None,0)])
+    testCase.execute(grades, moduleDict, solutionDict)
+
+
+# returns all the tests you need to run in order to run question
+def getDepends(testParser, testRoot, question):
+    allDeps = [question]
+    questionDict = testParser.TestParser(os.path.join(testRoot, question, 'CONFIG')).parse()
+    if 'depends' in questionDict:
+        depends = questionDict['depends'].split()
+        for d in depends:
+            # run dependencies first
+            allDeps = getDepends(testParser, testRoot, d) + allDeps
+    return allDeps
+
+# get list of questions to grade
+def getTestSubdirs(testParser, testRoot, questionToGrade):
+    problemDict = testParser.TestParser(os.path.join(testRoot, 'CONFIG')).parse()
+    if questionToGrade != None:
+        questions = getDepends(testParser, testRoot, questionToGrade)
+        if len(questions) > 1:
+            print 'Note: due to dependencies, the following tests will be run: %s' % ' '.join(questions)
+        return questions
+    if 'order' in problemDict:
+        return problemDict['order'].split()
+    return sorted(os.listdir(testRoot))
+
+
+# evaluate student code
+def evaluate(generateSolutions, testRoot, moduleDict, exceptionMap=ERROR_HINT_MAP,
+             edxOutput=False, muteOutput=False, gsOutput=False,
+            printTestCase=False, questionToGrade=None, display=None):
+    # imports of testbench code.  note that the testClasses import must follow
+    # the import of student code due to dependencies
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    questions = []
+    questionDicts = {}
+    test_subdirs = getTestSubdirs(testParser, testRoot, questionToGrade)
+    for q in test_subdirs:
+        subdir_path = os.path.join(testRoot, q)
+        if not os.path.isdir(subdir_path) or q[0] == '.':
+            continue
+
+        # create a question object
+        questionDict = testParser.TestParser(os.path.join(subdir_path, 'CONFIG')).parse()
+        questionClass = getattr(testClasses, questionDict['class'])
+        question = questionClass(questionDict, display)
+        questionDicts[q] = questionDict
+
+        # load test cases into question
+        tests = filter(lambda t: re.match('[^#~.].*\.test\Z', t), os.listdir(subdir_path))
+        tests = map(lambda t: re.match('(.*)\.test\Z', t).group(1), tests)
+        for t in sorted(tests):
+            test_file = os.path.join(subdir_path, '%s.test' % t)
+            solution_file = os.path.join(subdir_path, '%s.solution' % t)
+            test_out_file = os.path.join(subdir_path, '%s.test_output' % t)
+            testDict = testParser.TestParser(test_file).parse()
+            if testDict.get("disabled", "false").lower() == "true":
+                continue
+            testDict['test_out_file'] = test_out_file
+            testClass = getattr(projectTestClasses, testDict['class'])
+            testCase = testClass(question, testDict)
+            def makefun(testCase, solution_file):
+                if generateSolutions:
+                    # write solution file to disk
+                    return lambda grades: testCase.writeSolution(moduleDict, solution_file)
+                else:
+                    # read in solution dictionary and pass as an argument
+                    testDict = testParser.TestParser(test_file).parse()
+                    solutionDict = testParser.TestParser(solution_file).parse()
+                    if printTestCase:
+                        return lambda grades: printTest(testDict, solutionDict) or testCase.execute(grades, moduleDict, solutionDict)
+                    else:
+                        return lambda grades: testCase.execute(grades, moduleDict, solutionDict)
+            question.addTestCase(testCase, makefun(testCase, solution_file))
+
+        # Note extra function is necessary for scoping reasons
+        def makefun(question):
+            return lambda grades: question.execute(grades)
+        setattr(sys.modules[__name__], q, makefun(question))
+        questions.append((q, question.getMaxPoints()))
+
+    grades = grading.Grades(projectParams.PROJECT_NAME, questions,
+                            gsOutput=gsOutput, edxOutput=edxOutput, muteOutput=muteOutput)
+    if questionToGrade == None:
+        for q in questionDicts:
+            for prereq in questionDicts[q].get('depends', '').split():
+                grades.addPrereq(q, prereq)
+
+    grades.grade(sys.modules[__name__], bonusPic = projectParams.BONUS_PIC)
+    return grades.points
+
+
+
+def getDisplay(graphicsByDefault, options=None):
+    graphics = graphicsByDefault
+    if options is not None and options.noGraphics:
+        graphics = False
+    if graphics:
+        try:
+            import graphicsDisplay
+            return graphicsDisplay.PacmanGraphics(1, frameTime=.05)
+        except ImportError:
+            pass
+    import textDisplay
+    return textDisplay.NullGraphics()
+
+
+
+
+if __name__ == '__main__':
+    options = readCommand(sys.argv)
+    if options.generateSolutions:
+        confirmGenerate()
+    codePaths = options.studentCode.split(',')
+    # moduleCodeDict = {}
+    # for cp in codePaths:
+    #     moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+    #     moduleCodeDict[moduleName] = readFile(cp, root=options.codeRoot)
+    # moduleCodeDict['projectTestClasses'] = readFile(options.testCaseCode, root=options.codeRoot)
+    # moduleDict = loadModuleDict(moduleCodeDict)
+
+    moduleDict = {}
+    for cp in codePaths:
+        moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+        moduleDict[moduleName] = loadModuleFile(moduleName, os.path.join(options.codeRoot, cp))
+    moduleName = re.match('.*?([^/]*)\.py', options.testCaseCode).group(1)
+    moduleDict['projectTestClasses'] = loadModuleFile(moduleName, os.path.join(options.codeRoot, options.testCaseCode))
+
+
+    if options.runTest != None:
+        runTest(options.runTest, moduleDict, printTestCase=options.printTestCase, display=getDisplay(True, options))
+    else:
+        evaluate(options.generateSolutions, options.testRoot, moduleDict,
+            gsOutput=options.gsOutput,
+            edxOutput=options.edxOutput, muteOutput=options.muteOutput, printTestCase=options.printTestCase,
+            questionToGrade=options.gradeQuestion, display=getDisplay(options.gradeQuestion!=None, options))
+    # FIXME: what's the best way to clean the session?
+    import tensorflow_util as tfu
+    tfu.cleanup_session()
diff --git a/cs188-projects-master/P6 Classification/classification.token b/cs188-projects-master/P6 Classification/classification.token
new file mode 100644
index 0000000..ef75f8d
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/classification.token	
@@ -0,0 +1 @@
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
diff --git a/cs188-projects-master/P6 Classification/classificationTestClasses.py b/cs188-projects-master/P6 Classification/classificationTestClasses.py
new file mode 100644
index 0000000..35104fb
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/classificationTestClasses.py	
@@ -0,0 +1,454 @@
+# classificationTestClasses.py
+# ----------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from hashlib import sha1
+import testClasses
+import os
+from collections import OrderedDict
+import numpy as np
+import tensorflow as tf
+import models
+import solvers
+import datasets
+import tensorflow_util as tfu
+from search_hyperparams import search_hyperparams
+import answers
+
+
+def tinyLinearRegressionModelInitParamValues():
+    W_init = np.array([[0.4, 0.0], [0.0, -0.2], [0.1, 0.0]], dtype=np.float32)
+    b_init = np.array([-0.5, 0.3], dtype=np.float32)
+    return [W_init, b_init]
+
+def mnistSoftmaxRegressionModel():
+    return models.SoftmaxRegressionModel()
+
+def mnistConvNetModel(use_batchnorm, use_dropout):
+    return models.ConvNetModel(use_batchnorm, use_dropout)
+
+class UpdatesEqualityTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(UpdatesEqualityTest, self).__init__(question, testDict)
+        # solver
+        self.solver_module = testDict['solver_module']
+        self.solver_class = testDict['solver_class']
+        self.learning_rate = float(testDict['learning_rate'])
+        self.momentum = float(testDict.get('momentum', 0))
+        # model
+        self.model_module = testDict.get('model_module', 'models')
+        self.model_class = testDict['model_class']
+        self.init_param_values_fname_or_function = testDict.get('init_param_values_fname_or_function', None)
+        # dataset
+        self.dataset = testDict['dataset']
+        # other
+        self.update_iterations = int(testDict.get('update_iterations', 0))
+        self.max_points = int(testDict['max_points'])
+
+    def get_update_values(self, moduleDict):
+        # dataset
+        dataset = getattr(datasets, self.dataset)()
+        input_data, target_data = dataset[:2]
+        # model
+        if self.model_module == 'models':  # need to check for this since this is not a student file
+            module = models
+        else:
+            module = moduleDict[self.model_module]
+        model_class = getattr(module, self.model_class)
+        model_kwargs = dict(num_labels=dataset[1].shape[-1])
+        if self.model_class == 'ConvNetModel':
+            model_kwargs['x_shape'] = (None,) + dataset[0].shape[1:]
+        else:
+            model_kwargs['num_features'] = dataset[0].shape[-1]
+        model = model_class(**model_kwargs)
+        # solver
+        solver_class = getattr(moduleDict[self.solver_module], self.solver_class)
+        solver = solver_class(learning_rate=self.learning_rate, iterations=0, momentum=self.momentum)
+
+        target_ph = tf.placeholder(tf.float32, shape=(None, 2))
+        loss_tensor = solvers.squared_error(model.prediction_tensor, target_ph)
+        param_vars = model.get_param_vars(trainable=True)
+
+        updates = solver.get_updates(loss_tensor, param_vars)
+        update_ops = [tf.assign(old, new) for (old, new) in updates]
+        feed_dict = dict(zip([model.input_ph, target_ph], [input_data, target_data]))
+        for i in range(self.update_iterations):
+            tfu.get_session().run(update_ops, feed_dict=feed_dict)
+
+        grad_tensors = tf.gradients(loss_tensor, param_vars)
+        grads = [grad_tensor.eval(session=tfu.get_session(), feed_dict=feed_dict) for grad_tensor in grad_tensors]
+
+        len_messages = len(self.messages)
+        if not isinstance(updates, (list, tuple)):
+            self.addMessage('updates should be a list, %r given' % updates)
+            return updates, None, grads
+        # Check updates are in the right format
+        for update in updates:
+            try:
+                old, new = update
+            except ValueError:
+                self.addMessage('Each update in updates should be of length 2, but it is of length %d' % len(update))
+                continue
+            if not isinstance(old, tf.Variable):
+                self.addMessage('The first element in the tuple update should be a tf.Variable, %r given' % old)
+            if not isinstance(new, (tf.Variable, tf.Tensor)):
+                self.addMessage('The second element in the tuple update should be a tf.Variable or a tf.Tensor, %r given' % new)
+        if len(self.messages) > len_messages:
+            return updates, None, grads
+        # Check for repeated variables
+        if len(set(zip(*updates)[0])) != len(updates):
+            self.addMessage('There are some repeated variables being updated: %r' % zip(*updates)[0])
+            return updates, None, grads
+        update_values = [tfu.get_session().run(update, feed_dict=feed_dict) for update in updates]
+        return updates, update_values, grads
+
+    def update_values_allclose(self, update_values, gold_update_values):
+        if len(update_values) != len(gold_update_values):
+            self.addMessage('Expecting %d update tuples, but %d were given' % (len(gold_update_values), len(update_values)))
+            return False
+        num_equal_updates = 0
+        update_values = list(update_values)
+        for gold_update_value in gold_update_values:
+            for i, update_value in enumerate(update_values):
+                allclose = all([value.shape == gold_value.shape and np.allclose(value, gold_value) for (value, gold_value) in zip(update_value, gold_update_value)])
+                if allclose:
+                    update_values.pop(i)
+                    num_equal_updates += 1
+                    break
+        assert num_equal_updates <= len(gold_update_values)
+        if num_equal_updates < len(gold_update_values):
+            self.addMessage('Only %d out of %d update tuples are equal' % (num_equal_updates, len(gold_update_values)))
+            return False
+        return True
+
+    def execute(self, grades, moduleDict, solutionDict):
+        updates, update_values, grads = self.get_update_values(moduleDict)
+        gold_update_values_file = np.load(solutionDict['update_values_fname'])
+        gold_update_values = [gold_update_values_file['arr_%d' % i] for i in range(len(gold_update_values_file.files))]
+        gold_update_values = zip(gold_update_values[::2], gold_update_values[1::2])
+        correct = self.update_values_allclose(update_values, gold_update_values)
+        if correct:
+            total_points = self.max_points
+            return self.testPartial(grades, total_points, self.max_points)
+
+        hyperparameters_str = 'learning_rate=%d' % self.learning_rate
+        if self.momentum != 0:
+            hyperparameters_str += ', momentum=%d' % self.momentum
+        self.addMessage('Update tuple values (with %s) are not equal.\n' % hyperparameters_str)
+        self.addMessage('Gradients with respect to each parameter are:\n%r\n' % grads)
+        self.addMessage('Student\'s evaluated update values are:\n%r\n' % update_values)
+        self.addMessage('Correct evaluated update values are:\n%r\n' % gold_update_values)
+        return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        updates, update_values, grads = self.get_update_values(moduleDict)
+        path, fname = os.path.split(self.path)
+        fname, ext = os.path.splitext(fname)
+        fname = os.path.join(path, fname + '.npz')
+        np.savez(fname, *[value for update_value in update_values for value in update_value])
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            handle.write('update_values_fname: "%s"\n' % fname)
+        return True
+
+
+
+class ParamValuesEqualityTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(ParamValuesEqualityTest, self).__init__(question, testDict)
+        # solver
+        self.solver_module = testDict.get('solver_module', 'solvers')
+        self.solver_class = testDict['solver_class']
+        self.solver_kwargs = OrderedDict(iterations=int(testDict['iterations']))
+        if 'learning_rate' in testDict:
+            self.solver_kwargs['learning_rate'] = float(testDict['learning_rate'])
+        if 'momentum' in testDict:
+            self.solver_kwargs['momentum'] = float(testDict['momentum'])
+        if 'shuffle' in testDict:
+            self.solver_kwargs['shuffle'] = bool(testDict['shuffle'])
+        if 'batch_size' in testDict:
+            self.solver_kwargs['batch_size'] = int(testDict['batch_size'])
+        if 'solver_hyperparams' in testDict:
+            hyperparams_dict = getattr(answers, testDict['solver_hyperparams'])()
+            # filter out any item in the dict that is not the learning rate nor momentum
+            allowed_hyperparams = ['learning_rate', 'momentum']
+            hyperparams_dict = dict([(k, v) for (k, v) in hyperparams_dict.items() if k in allowed_hyperparams])
+            self.solver_kwargs.update(hyperparams_dict)
+        if 'loss_function' in testDict:
+            self.solver_kwargs['loss_function'] = getattr(solvers, self.loss_function)
+        self.check_losses = bool(testDict.get('check_losses', False))
+        # model
+        self.model_module = testDict.get('model_module', 'models')
+        self.model_class = testDict['model_class']
+        self.init_param_values_fname_or_function = testDict.get('init_param_values_fname_or_function', None)
+        self.batch_norm = bool(testDict.get('batch_norm', False))
+        # dataset
+        self.dataset = testDict['dataset']
+        self.feature_extractor = testDict.get('feature_extractor', None)
+        # other
+        self.max_points = int(testDict['max_points'])
+
+    def load_init_param_values(self, init_param_values_fname):
+        init_param_values_file = np.load(init_param_values_fname)
+        init_param_values = [init_param_values_file['arr_%d' % i] for i in range(len(init_param_values_file.files))]
+        return init_param_values
+
+    def get_solved_model_and_dataset(self, moduleDict, init_param_values=None):
+        # dataset
+        dataset = getattr(datasets, self.dataset)()
+        if self.feature_extractor or self.model_class == 'ConvNetModel':
+            # reshape each data point to be a square
+            for i in range(0, len(dataset), 2):
+                image_size = int(np.sqrt(dataset[i].shape[-1]))
+                dataset[i] = dataset[i].reshape((-1, image_size, image_size, 1))
+            if self.feature_extractor:
+                import features
+                feature_extractor = getattr(features, self.feature_extractor)
+                for i in range(0, len(dataset), 2):
+                    dataset[i] = np.array(map(feature_extractor, dataset[i]))
+        # model
+        if self.model_module == 'models':  # need to check for this since this is not a student file
+            module = models
+        else:
+            module = moduleDict[self.model_module]
+        model_class = getattr(module, self.model_class)
+        model_kwargs = dict(num_labels=dataset[1].shape[-1])
+        if self.model_class == 'ConvNetModel':
+            model_kwargs['x_shape'] = (None,) + dataset[0].shape[1:]
+            model_kwargs['use_batchnorm'] = self.batch_norm
+        else:
+            model_kwargs['num_features'] = dataset[0].shape[-1]
+        model = model_class(**model_kwargs)
+        if init_param_values is not None:
+            model.set_param_values(init_param_values)
+        else:
+            init_param_values = model.get_param_values()
+        # solver
+        solver_class = getattr(moduleDict[self.solver_module], self.solver_class)
+        solver = solver_class(**self.solver_kwargs)
+        losses = solver.solve(*(dataset[:4] + [model]))
+        return init_param_values, model, dataset, losses
+
+    def execute(self, grades, moduleDict, solutionDict):
+        if 'init_param_values_fname' in solutionDict:
+            init_param_values = self.load_init_param_values(solutionDict['init_param_values_fname'])
+        else:
+            init_param_values = None
+        init_param_values, model, dataset, losses = self.get_solved_model_and_dataset(moduleDict, init_param_values)
+        param_values = model.get_param_values()
+        gold_param_values = self.load_init_param_values(solutionDict['param_values_fname'])
+        correct_param_values = all([np.allclose(param_value, gold_param_value, atol=1e-07) for (param_value, gold_param_value) in zip(param_values, gold_param_values)])
+        if self.check_losses:
+            gold_losses = self.load_init_param_values(solutionDict['losses_fname'])
+            correct_losses = all([np.allclose(loss, gold_loss, atol=1e-07) for (loss, gold_loss) in zip(losses, gold_losses)])
+        else:
+            correct_losses = True
+        if correct_param_values and correct_losses:
+            total_points = self.max_points
+            return self.testPartial(grades, total_points, self.max_points)
+        hyperparameters_str = ', '.join(['%s=%r' % (k, v) for (k, v) in self.solver_kwargs.items()])
+        if not correct_losses:
+            self.addMessage('Intermediate losses from solving (with %s) are not equal.\n' % hyperparameters_str)
+            self.addMessage('Student\'s losses from solving are:\ntraining loss: %r\nvalidation loss: %r\n' % (losses))
+            self.addMessage('Correct losses from solving are:\ntraining loss: %r\nvalidation loss: %r\n' % tuple([loss.tolist() for loss in gold_losses]))
+        if not correct_param_values:
+            self.addMessage('Parameter values after solving (with %s) are not equal.\n' % hyperparameters_str)
+            self.addMessage('Student\'s parameter values after solving are:\n%r\n' % param_values)
+            self.addMessage('Correct parameter values after solving are:\n%r\n' % gold_param_values)
+        return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        if self.init_param_values_fname_or_function is not None:
+            if self.init_param_values_fname_or_function.endswith('.npz'):
+                init_param_values = self.load_init_param_values(self.init_param_values_fname_or_function)
+                init_param_values_fname = self.init_param_values_fname_or_function
+            elif self.init_param_values_fname_or_function == '':
+                init_param_values_fname = ''
+            else:
+                init_param_values = globals()[self.init_param_values_fname_or_function]()
+                init_param_values_fname = None
+        else:
+            init_param_values = None
+            init_param_values_fname = None
+        init_param_values, model, dataset, losses = self.get_solved_model_and_dataset(moduleDict, init_param_values)
+        # save init param values
+        path, fname = os.path.split(self.path)
+        fname, ext = os.path.splitext(fname)
+        param_values_fname = os.path.join(path, fname + '.npz')
+        # only save init param values if it doesn't already exist
+        if init_param_values_fname is None:
+            init_param_values_fname = os.path.join(path, fname + '_init.npz')
+            np.savez(init_param_values_fname, *init_param_values)
+        np.savez(param_values_fname, *model.get_param_values())
+        # save losses if applicable
+        if self.check_losses:
+            losses_fname = os.path.join(path, fname + '_losses.npz')
+            np.savez(losses_fname, *losses)
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            if init_param_values_fname:
+                handle.write('init_param_values_fname: "%s"\n' % init_param_values_fname)
+            handle.write('param_values_fname: "%s"\n' % param_values_fname)
+            if self.check_losses:
+                handle.write('losses_fname: "%s"\n' % losses_fname)
+        return True
+
+
+
+class GradeClassifierTest(ParamValuesEqualityTest):
+
+    def __init__(self, question, testDict):
+        super(GradeClassifierTest, self).__init__(question, testDict)
+        self.accuracy_threshold = float(testDict['accuracy_threshold'])
+
+    def grade_classifier(self, moduleDict, solutionDict):
+        if 'init_param_values_fname' in solutionDict:
+            init_param_values = self.load_init_param_values(solutionDict['init_param_values_fname'])
+        else:
+            init_param_values = None
+        init_param_values, model, dataset, losses = self.get_solved_model_and_dataset(moduleDict, init_param_values)
+        train_data, val_data, test_data = dataset[:2], dataset[2:4], dataset[4:]
+        print("Computing accuracies")
+        test_accuracy = model.accuracy(*test_data)
+        if train_data[0].shape[0] <= 10000:  # compute training accuracy only for small datasets (otherwise computing this is too slow)
+            print("Train accuracy: %.1f%%" % (100.0 * model.accuracy(*train_data)))
+        print("Validation accuracy: %.1f%%" % (100.0 * model.accuracy(*val_data)))
+        print("Test accuracy: %.1f%%" % (100.0 * test_accuracy))
+        return test_accuracy
+
+    def execute(self, grades, moduleDict, solutionDict):
+        accuracy = 100.0 * self.grade_classifier(moduleDict, solutionDict)
+
+        if accuracy >= self.accuracy_threshold:
+            total_points = self.max_points
+            return self.testPartial(grades, total_points, self.max_points)
+
+        self.addMessage('Student\'s accuracy after solving is:\n%r\n' % accuracy)
+        self.addMessage('Accuracy threshold to pass the test is:\n%r\n' % self.accuracy_threshold)
+        return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        if self.init_param_values_fname_or_function is not None:
+            if self.init_param_values_fname_or_function.endswith('.npz'):
+                init_param_values = self.load_init_param_values(self.init_param_values_fname_or_function)
+                init_param_values_fname = self.init_param_values_fname_or_function
+            elif self.init_param_values_fname_or_function == '':
+                init_param_values = None
+                init_param_values_fname = ''
+            else:
+                init_param_values = globals()[self.init_param_values_fname_or_function]()
+                init_param_values_fname = None
+        else:
+            init_param_values = None
+            init_param_values_fname = None
+        init_param_values, model, dataset, losses = self.get_solved_model_and_dataset(moduleDict, init_param_values)
+        # only save init param values if it doesn't already exist
+        if init_param_values_fname is None:
+            path, fname = os.path.split(self.path)
+            fname, ext = os.path.splitext(fname)
+            init_param_values_fname = os.path.join(path, fname + '_init.npz')
+            np.savez(init_param_values_fname, *init_param_values)
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            if init_param_values_fname:
+                handle.write('init_param_values_fname: "%s"\n' % init_param_values_fname)
+        return True
+
+
+class HyperParamEqualityTest(testClasses.TestCase):
+    def __init__(self, question, testDict):
+        super(HyperParamEqualityTest, self).__init__(question, testDict)
+        self.dataset = getattr(datasets, testDict['dataset'])()
+        self.maxPoints = int(testDict['maxPoints'])
+        self.learning_rates = [float(x) for x in testDict['learning_rates'].split()]
+        self.momentums = [float(x) for x in testDict['momentums'].split()]
+        self.batch_sizes = [int(x) for x in testDict['batch_sizes'].split()]
+        self.model_class = models.SoftmaxRegressionModel
+        self.iterations = int(testDict['iterations'])
+
+    def hyperparam_exp_get_model(self, init_param_values):
+        hyperparams = [self.learning_rates, self.momentums, self.batch_sizes]
+        best_model, best_hyperparams = search_hyperparams(*(self.dataset[:4] + hyperparams),
+                                                          iterations=self.iterations,
+                                                          model_class=self.model_class,
+                                                          init_param_values=init_param_values)
+        return best_model.get_param_values()
+
+
+    def execute(self, grades, moduleDict, solutionDict):
+        init_param_values_file = np.load(solutionDict['init_param_values_fname'])
+        init_param_values = [init_param_values_file['arr_%d' % i] for i in range(len(init_param_values_file.files))]
+        param_values = self.hyperparam_exp_get_model(init_param_values)
+
+        gold_param_values_file = np.load(solutionDict['param_values_fname'])
+        gold_param_values = [gold_param_values_file['arr_%d' % i] for i in range(len(gold_param_values_file.files))]
+        correct = all([np.allclose(new_param_value, gold_param_value, atol=1e-07) for (new_param_value, gold_param_value) in zip(param_values, gold_param_values)])
+        if correct:
+            totalPoints = self.maxPoints
+            return self.testPartial(grades, totalPoints, self.maxPoints)
+
+        self.addMessage('Student\'s parameter values of the best model are:\n%r\n' % param_values)
+        self.addMessage('Correct parameter values of the model are:\n%r\n' % gold_param_values)
+        return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        path, fname = os.path.split(self.path)
+        fname, ext = os.path.splitext(fname)
+        init_fname = os.path.join(path, fname + '_init.npz')
+        fname = os.path.join(path, fname + '.npz')
+
+        if os.path.exists(init_fname):
+            init_param_values_file = np.load(init_fname)
+            init_param_values = [init_param_values_file['arr_%d' % i] for i in range(len(init_param_values_file.files))]
+        else:
+            model = self.model_class()
+            init_param_values = model.get_param_values()
+
+        param_values = self.hyperparam_exp_get_model(init_param_values)
+
+        np.savez(init_fname, *init_param_values)
+        np.savez(fname, *param_values)
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            handle.write('init_param_values_fname: "%s"\n' % init_fname)
+            handle.write('param_values_fname: "%s"\n' % fname)
+        return True
+
+
+
+class MultipleChoiceTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(MultipleChoiceTest, self).__init__(question, testDict)
+        self.ans = testDict['result']
+        self.question = testDict['question']
+
+    def execute(self, grades, moduleDict, solutionDict):
+        studentSolution = str(getattr(moduleDict['answers'], self.question)())
+        encryptedSolution = sha1(studentSolution.strip().lower()).hexdigest()
+        if encryptedSolution == self.ans:
+            return self.testPass(grades)
+        else:
+            self.addMessage("Solution is not correct.")
+            self.addMessage("Student solution: %s" % studentSolution)
+            return self.testFail(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+        handle.write('# File intentionally blank.\n')
+        handle.close()
+        return True
+
diff --git a/cs188-projects-master/P6 Classification/classificationTestClasses.pyc b/cs188-projects-master/P6 Classification/classificationTestClasses.pyc
new file mode 100644
index 0000000..057e619
Binary files /dev/null and b/cs188-projects-master/P6 Classification/classificationTestClasses.pyc differ
diff --git a/cs188-projects-master/P6 Classification/dataClassifier.py b/cs188-projects-master/P6 Classification/dataClassifier.py
new file mode 100644
index 0000000..48a64fb
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/dataClassifier.py	
@@ -0,0 +1,220 @@
+# dataClassifier.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import argparse
+import numpy as np
+import itertools
+import perceptron
+import models
+import solvers
+import datasets
+import features
+from search_hyperparams import search_hyperparams
+import pacmanPlot
+import graphicsUtils
+from perceptron import PerceptronModel
+
+
+def get_data(args):
+    try:
+        dataset = getattr(datasets, args.data)()
+    except AttributeError:
+        raise ValueError("Invalid option data %s" % args.data)
+    if args.feature_extractor or args.model == 'ConvNetModel':
+        # reshape each data point to be a square
+        for i in range(0, len(dataset), 2):
+            image_size = int(np.sqrt(dataset[i].shape[-1]))
+            dataset[i] = dataset[i].reshape((-1, image_size, image_size, 1))
+        if args.feature_extractor:
+            print("Extracting features...")
+            feature_extractor = getattr(features, args.feature_extractor)
+            for i in range(0, len(dataset), 2):
+                dataset[i] = np.array(map(feature_extractor, dataset[i]))
+    train_data, val_data, test_data = dataset[:2], dataset[2:4], dataset[4:6]
+    return train_data, val_data, test_data
+
+
+def get_model_class(args):
+    try:
+        model_class = getattr(models, args.model)
+    except AttributeError:
+        try:
+            model_class = getattr(perceptron, args.model)
+        except AttributeError:
+            raise ValueError("Invalid option model %s" % args.model)
+    return model_class
+
+
+def get_model(args, train_data):
+    model_class = get_model_class(args)
+    model_kwargs = dict(num_labels=train_data[1].shape[-1])
+    if args.model == 'ConvNetModel':
+        model_kwargs['x_shape'] = (None,) + train_data[0].shape[1:]
+    else:
+        model_kwargs['num_features'] = train_data[0].shape[-1]
+    model = model_class(**model_kwargs)
+    return model
+
+
+def get_solver(args):
+    try:
+        solver_class = getattr(solvers, args.solver)
+    except:
+        try:
+            solver_class = getattr(perceptron, args.solver)
+        except AttributeError:
+            raise ValueError("Invalid option solver %s" % args.solver)
+    if solver_class == perceptron.PerceptronSolver:
+        solver_kwargs = dict()
+    elif solver_class == solvers.StochasticGradientDescentSolver:
+        solver_kwargs = dict(learning_rate=args.learning_rate[0],
+                             momentum=args.momentum[0],
+                             weight_decay=args.weight_decay,
+                             shuffle=not args.no_shuffle)
+    elif solver_class == solvers.MinibatchStochasticGradientDescentSolver:
+        solver_kwargs = dict(learning_rate=args.learning_rate[0],
+                             momentum=args.momentum[0],
+                             weight_decay=args.weight_decay,
+                             batch_size=args.batch_size[0], shuffle=not args.no_shuffle)
+    elif solver_class == solvers.GradientDescentSolver:
+        solver_kwargs = dict(learning_rate=args.learning_rate[0],
+                             momentum=args.momentum[0],
+                             weight_decay=args.weight_decay)
+    else:
+        raise ValueError("Invalid option solver %s" % args.solver)
+    if args.no_graphics:
+        plot = 0
+    else:
+        plot = args.plot_interval
+    solver = solver_class(iterations=args.iterations, plot=plot, **solver_kwargs)
+    return solver
+
+
+def pacman_display_callback(train_data):
+    training = train_data[0]
+    trainingLabels = train_data[1]
+    if training.shape[1] == 2 and trainingLabels.shape[1] == 2:
+        pacmanDisplay = pacmanPlot.PacmanPlotClassification2D();
+        # plot points
+        pacmanDisplay.plot(training, trainingLabels[:,0])
+        graphicsUtils.sleep(0.1)
+
+        # plot line
+        def plot(model):
+            weights = None
+            if isinstance(model, PerceptronModel):
+                weights = model.get_param_values()[0][:,0]
+                updated = pacmanDisplay.setWeights(weights)
+                if updated:
+                    graphicsUtils.sleep(0.1)
+            else:
+                w1 = model.get_param_values()[0][:,0][:]
+                b1 = model.get_param_values()[1][0]
+                w2 = model.get_param_values()[0][:,1][:]
+                b2 = model.get_param_values()[1][1]
+                w = w1-w2
+                b = b1-b2
+                weights = np.r_[w,b]
+                updated = pacmanDisplay.setWeights(weights)
+                if updated:
+                    graphicsUtils.sleep(0.1)
+        return plot
+    else:
+        def do_nothing(model):
+            pass
+        return do_nothing
+
+
+def main():
+    model_choices = ['PerceptronModel', 'SoftmaxRegressionModel', 'ConvNetModel']
+    solver_choices = ['PerceptronSolver', 'GradientDescentSolver', 'StochasticGradientDescentSolver', 'MinibatchStochasticGradientDescentSolver']
+    data_choices = ['tinyMnistDataset', 'medMnistDataset', 'largeMnistDataset', 'mnistDataset', 'datasetA', 'datasetB']
+    parser = argparse.ArgumentParser(description='Input the arguments to train the neural net.')
+    parser.add_argument('-m', '--model', choices=model_choices, default='SoftmaxRegressionModel', help='Perceptron or neural net model')
+    parser.add_argument('-s', '--solver', choices=solver_choices, default='MinibatchStochasticGradientDescentSolver', help='Solver to train the model')
+    parser.add_argument('-d', '--data', choices=data_choices, default='medMnistDataset', help='Dataset to use for training',)
+    parser.add_argument('-f', '--weight_file', default=None, help='File name (.npz) of weights to use to initialize the model')
+    parser.add_argument('-i', '--iterations', default=10, type=int, help='Maximum iterations to run training')
+    parser.add_argument('-l', '--learning_rate', nargs='+', default=[0.001], type=float, help='Learning rate to use for the solver')
+    parser.add_argument('-b', '--batch_size', nargs='+', default=[32], type=int, help='Minibatch size to use when iterating the training and validation data')
+    parser.add_argument('-u', '--momentum', nargs='+', default=[0.0], type=float, help='Momentum to use for the solver')
+    parser.add_argument('-w', '--weight_decay', default=1e-3, type=float, help='Coefficient for l2 regularization on the loss')
+    parser.add_argument('-bn', '--batch_norm', action='store_true', help='Batch normalization')
+    parser.add_argument('--no-shuffle', action='store_true', help='Disables shuffling of data')
+    parser.add_argument('--no-graphics', action='store_true', help='Turns off plots')
+    parser.add_argument('-p', '--plot_interval', default=100, type=int, help='Only plot only every this often (in terms of iterations)')
+    parser.add_argument('--print_features', action='store_true', help='Print high weight features')
+    parser.add_argument('--feature_extractor', choices=['enhancedFeatureExtractor', 'basicFeatureExtractor'], help='Feature extractor function to use for mnist images')
+    args = parser.parse_args()
+
+    # Parse args and print information
+    if args.model == 'PerceptronModel':
+        args.solver = 'PerceptronSolver'
+    print("data:\t\t" + args.data)
+    print("model:\t\t" + args.model)
+    print("solver:\t\t" + args.solver)
+
+    train_data, val_data, test_data = get_data(args)
+
+    # Load weights if applicable
+    if args.weight_file is not None:
+        print("loading parameter values from %s" % args.weight_file)
+        init_param_values_file = np.load(args.weight_file)
+        init_param_values = [init_param_values_file['arr_%d' % i] for i in
+                             range(len(init_param_values_file.files))]
+    else:
+        init_param_values = None
+
+    # train and validate
+    hyperparams = [args.learning_rate, args.momentum, args.batch_size]
+    if all([len(hyperparam) == 1 for hyperparam in hyperparams]):  # train and validate using a single set of hyperparameters
+        model = get_model(args, train_data)
+        if init_param_values is not None:
+            model.set_param_values(init_param_values)
+        solver = get_solver(args)
+        print("Training...")
+        solver.solve(*(train_data + val_data + [model, pacman_display_callback(train_data)]))
+    else:  # do hyperparameter search
+        # cartesian product of hyperparameters
+        hyperparams = list(itertools.product(*hyperparams))
+        model, best_hyperparams = search_hyperparams(*(train_data + val_data + zip(*hyperparams)), iterations=args.iterations,
+                                                     model_class=get_model_class(args), init_param_values=init_param_values, use_bn=args.batch_norm)
+        print('Best model is trained with these hyperparameters: learning_rate=%r, momentum=%r, batch_size=%r' % tuple(best_hyperparams))
+
+    if args.print_features and args.model == 'PerceptronModel' and 'mnist' in args.data.lower():
+        for l in model.legal_labels:
+            highest_weighted_features = model.find_high_weight_features(l)
+            features.print_features(highest_weighted_features)
+
+    if 'mnist' in args.data.lower() and args.feature_extractor is not None:
+        def get_data_labels_pred(data):
+            features = data[0]
+            labels = np.argmax(data[1], axis=-1)
+            predictions = model.classify(features)
+            return features, labels, predictions
+
+        trainData, trainLabels, trainPredictions = get_data_labels_pred(train_data)
+        validationData, validationLabels, validationPredictions = get_data_labels_pred(val_data)
+        features.analysis(model, trainData, trainLabels, trainPredictions, validationData, validationLabels, validationPredictions)
+
+    print("Computing accuracies")
+    if train_data[0].shape[0] <= 10000:  # compute training accuracy only for small datasets (otherwise computing this is too slow)
+        print("Train accuracy: %.1f%%" % (100.0 * model.accuracy(*train_data)))
+    print("Validation accuracy: %.1f%%" % (100.0 * model.accuracy(*val_data)))
+    print("Test accuracy: %.1f%%" % (100.0 * model.accuracy(*test_data)))
+    raw_input('Press enter to exit')
+
+
+if __name__ == '__main__':
+    main()
diff --git a/cs188-projects-master/P6 Classification/dataClassifier.pyc b/cs188-projects-master/P6 Classification/dataClassifier.pyc
new file mode 100644
index 0000000..c709544
Binary files /dev/null and b/cs188-projects-master/P6 Classification/dataClassifier.pyc differ
diff --git a/cs188-projects-master/P6 Classification/datasets.py b/cs188-projects-master/P6 Classification/datasets.py
new file mode 100644
index 0000000..4142368
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/datasets.py	
@@ -0,0 +1,100 @@
+# datasets.py
+# -----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import numpy as np
+from tensorflow.examples.tutorials.mnist import input_data
+from util import normal
+
+_MNIST = None
+def datasetA():
+    training = np.array([[-3,3],[-3,0],[-1,1],[1,5],[3,4],[1,-1],[3,2],[5,0]])
+    trainingLabels = np.ones((8,2))
+    trainingLabels[:4,0] = 0
+    trainingLabels[4:,1] = 0
+
+    validation = np.array([[3,0]])
+    validationLabels = np.array([[1,0]])
+
+    test = np.array([[-1,2]])
+    testLabels = np.array([[0,1]])
+    return [training,trainingLabels, validation, validationLabels, test, testLabels]
+
+def datasetB():
+    X_1 = normal(shape=(100, 2), mean=1.5)*3
+    X_2 = normal(shape=(100, 2), mean=-1)*3
+    training = np.r_[X_1[:50], X_2[:50]]
+    trainingLabels = np.ones((100,2))
+    trainingLabels[50:,0] = 0
+    trainingLabels[:50,1] = 0
+
+    validation = np.r_[X_1[50:80], X_2[50:80]]
+    validationLabels = np.ones((60,2))
+    validationLabels[30:,0] = 0
+    validationLabels[:30,1] = 0
+
+    test = np.r_[X_1[80:], X_2[80:]]
+    testLabels = np.ones((40,2))
+    testLabels[20:, 0] = 0
+    testLabels[:20, 1] = 0
+    return [training, trainingLabels, validation, validationLabels, test, testLabels]
+
+def tinyDataset():
+    training = np.array([[0,0,0], [1,0,0], [0,1,0], [0,0,1], [1,1,0], [0,1,1], [1,0,1], [1,1,1]])
+    trainingLabels = np.array([[0,1], [0,1], [0,1], [0,1], [0,1], [0,1], [1,0], [1,0]])
+
+    validation = np.array([[1,0,1]])
+    validationLabels = np.array([[0,1]])
+
+    test = np.array([[1,0,1]])
+    testLabels = np.array([[1,0]])
+
+    return [training, trainingLabels, validation, validationLabels, test, testLabels]
+
+def mnistDataset():
+    global _MNIST
+
+    if _MNIST is None:
+        mnist = input_data.read_data_sets('MNIST_data', one_hot=True)
+
+        _MNIST = (mnist.train.images, mnist.train.labels,
+            mnist.validation.images, mnist.validation.labels,
+            mnist.test.images, mnist.test.labels)
+
+    return [data.copy() for data in _MNIST]
+
+def largeMnistDataset():
+    all_data = mnistDataset()
+    training = all_data[0][:2000]
+    trainingLabels = all_data[1][:2000]
+    validation = all_data[2][:1000]
+    validationLabels = all_data[3][:1000]
+    test = all_data[4][:1000]
+    testLabels = all_data[5][:1000]
+
+    return [training, trainingLabels, validation, validationLabels, test, testLabels]
+
+def medMnistDataset():
+    all_data = mnistDataset()
+    training = all_data[0][:1000]
+    trainingLabels = all_data[1][:1000]
+    validation = all_data[2][:200]
+    validationLabels = all_data[3][:200]
+    test = all_data[4][:200]
+    testLabels = all_data[5][:200]
+
+    return [training, trainingLabels, validation, validationLabels, test, testLabels]
+
+def tinyMnistDataset():
+    all_data = mnistDataset()
+    return [data[:10] for data in all_data]
diff --git a/cs188-projects-master/P6 Classification/datasets.pyc b/cs188-projects-master/P6 Classification/datasets.pyc
new file mode 100644
index 0000000..5ed1c9a
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diff --git a/cs188-projects-master/P6 Classification/features.py b/cs188-projects-master/P6 Classification/features.py
new file mode 100644
index 0000000..00f7697
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/features.py	
@@ -0,0 +1,171 @@
+# features.py
+# -----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import numpy as np
+import util
+import samples
+
+DIGIT_DATUM_WIDTH=28
+DIGIT_DATUM_HEIGHT=28
+
+def basicFeatureExtractor(datum):
+    """
+    Returns a binarized and flattened version of the image datum.
+
+    Args:
+        datum: 2-dimensional numpy.array representing a single image.
+
+    Returns:
+        A 1-dimensional numpy.array of features indicating whether each pixel
+            in the provided datum is white (0) or gray/black (1).
+    """
+    features = np.zeros_like(datum, dtype=int)
+    features[datum > 0] = 1
+    return features.flatten()
+
+def enhancedFeatureExtractor(datum):
+    """
+    Returns a feature vector of the image datum.
+
+    Args:
+        datum: 2-dimensional numpy.array representing a single image.
+
+    Returns:
+        A 1-dimensional numpy.array of features designed by you. The features
+            can have any length.
+
+    ## DESCRIBE YOUR ENHANCED FEATURES HERE...
+        add an extra feature that shows the number of continuous white regions in the graph.
+    ##
+    """
+    features = np.zeros_like(datum, dtype=int)
+    features[datum > 0] = 1
+    """===== setup for enhanced extraction ===="""
+    m, n = datum.shape[0], datum.shape[1]
+    num_w_regions = 0
+    visited = set()
+    i, j = newStartPoint(visited, features, m, n)
+
+    from collections import deque
+    queue = deque()
+    while i >= 0 and j >= 0:
+        queue.append((i, j))
+        num_w_regions += 1
+
+        while queue:
+            x, y = queue.popleft()
+            if y > 0 and features[x][y - 1] == 0 and (x, y - 1) not in visited:
+                visited.add((x, y - 1))
+                queue.append((x, y - 1))
+
+            if y + 1 < n and features[x][y + 1] == 0 and (x, y + 1) not in visited:
+                visited.add((x, y + 1))
+                queue.append((x, y + 1))
+
+            if x + 1 < m and features[x + 1][y] == 0 and (x + 1, y) not in visited:
+                visited.add((x + 1, y))
+                queue.append((x + 1, y))
+
+            if x > 0 and features[x - 1][y] == 0 and (x - 1, y) not in visited:
+                visited.add((x - 1, y))
+                queue.append((x - 1, y))
+
+        i, j = newStartPoint(visited, features, m, n)
+
+    extra_features = np.array([0, 0, 0])
+    if num_w_regions == 1:
+        extra_features = np.array([1, 0, 0])
+    elif num_w_regions == 2:
+        extra_features = np.array([0, 1, 0])
+    elif num_w_regions > 2:
+        extra_features = np.array([0, 0, 1])
+    return np.concatenate((features.flatten(), extra_features), axis = 0)
+
+def newStartPoint(visited, features, m, n):
+    for i in range(m):
+        for j in range(n):
+            if features[i][j] == 0 and (i, j) not in visited:
+                visited.add((i, j))
+                return i, j
+    return -1, -1
+
+def analysis(model, trainData, trainLabels, trainPredictions, valData, valLabels, validationPredictions):
+    """
+    This function is called after learning.
+    Include any code that you want here to help you analyze your results.
+
+    Use the print_digit(numpy array representing a training example) function
+    to the digit
+
+    An example of use has been given to you.
+
+    - model is the trained model
+    - trainData is a numpy array where each row is a training example
+    - trainLabel is a list of training labels
+    - trainPredictions is a list of training predictions
+    - valData is a numpy array where each row is a validation example
+    - valLabels is the list of validation labels
+    - valPredictions is a list of validation predictions
+
+    This code won't be evaluated. It is for your own optional use
+    (and you can modify the signature if you want).
+    """
+
+    # Put any code here...
+    # Example of use:
+    # for i in range(len(trainPredictions)):
+    #     prediction = trainPredictions[i]
+    #     truth = trainLabels[i]
+    #     if (prediction != truth):
+    #         print "==================================="
+    #         print "Mistake on example %d" % i
+    #         print "Predicted %d; truth is %d" % (prediction, truth)
+    #         print "Image: "
+    #         print_digit(trainData[i,:])
+
+
+## =====================
+## You don't have to modify any code below.
+## =====================
+
+def print_features(features):
+    str = ''
+    width = DIGIT_DATUM_WIDTH
+    height = DIGIT_DATUM_HEIGHT
+    for i in range(width):
+        for j in range(height):
+            feature = i*height + j
+            if feature in features:
+                str += '#'
+            else:
+                str += ' '
+        str += '\n'
+    print(str)
+
+def print_digit(pixels):
+    width = DIGIT_DATUM_WIDTH
+    height = DIGIT_DATUM_HEIGHT
+    pixels = pixels[:width*height]
+    image = pixels.reshape((width, height))
+    datum = samples.Datum(samples.convertToTrinary(image),width,height)
+    print(datum)
+
+def _test():
+    import datasets
+    train_data = datasets.tinyMnistDataset()[0]
+    for i, datum in enumerate(train_data):
+        print_digit(datum)
+
+if __name__ == "__main__":
+    _test()
diff --git a/cs188-projects-master/P6 Classification/features.pyc b/cs188-projects-master/P6 Classification/features.pyc
new file mode 100644
index 0000000..ae00a4f
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diff --git a/cs188-projects-master/P6 Classification/game.py b/cs188-projects-master/P6 Classification/game.py
new file mode 100644
index 0000000..4f5eb56
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/game.py	
@@ -0,0 +1,721 @@
+# game.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import *
+import time, os
+import traceback
+import sys
+
+#######################
+# Parts worth reading #
+#######################
+
+class Agent:
+    """
+    An agent must define a getAction method, but may also define the
+    following methods which will be called if they exist:
+
+    def registerInitialState(self, state): # inspects the starting state
+    """
+    def __init__(self, index=0):
+        self.index = index
+
+    def getAction(self, state):
+        """
+        The Agent will receive a GameState (from either {pacman, capture, sonar}.py) and
+        must return an action from Directions.{North, South, East, West, Stop}
+        """
+        raiseNotDefined()
+
+class Directions:
+    NORTH = 'North'
+    SOUTH = 'South'
+    EAST = 'East'
+    WEST = 'West'
+    STOP = 'Stop'
+
+    LEFT =       {NORTH: WEST,
+                   SOUTH: EAST,
+                   EAST:  NORTH,
+                   WEST:  SOUTH,
+                   STOP:  STOP}
+
+    RIGHT =      dict([(y,x) for x, y in LEFT.items()])
+
+    REVERSE = {NORTH: SOUTH,
+               SOUTH: NORTH,
+               EAST: WEST,
+               WEST: EAST,
+               STOP: STOP}
+
+class Configuration:
+    """
+    A Configuration holds the (x,y) coordinate of a character, along with its
+    traveling direction.
+
+    The convention for positions, like a graph, is that (0,0) is the lower left corner, x increases
+    horizontally and y increases vertically.  Therefore, north is the direction of increasing y, or (0,1).
+    """
+
+    def __init__(self, pos, direction):
+        self.pos = pos
+        self.direction = direction
+
+    def getPosition(self):
+        return (self.pos)
+
+    def getDirection(self):
+        return self.direction
+
+    def isInteger(self):
+        x,y = self.pos
+        return x == int(x) and y == int(y)
+
+    def __eq__(self, other):
+        if other == None: return False
+        return (self.pos == other.pos and self.direction == other.direction)
+
+    def __hash__(self):
+        x = hash(self.pos)
+        y = hash(self.direction)
+        return hash(x + 13 * y)
+
+    def __str__(self):
+        return "(x,y)="+str(self.pos)+", "+str(self.direction)
+
+    def generateSuccessor(self, vector):
+        """
+        Generates a new configuration reached by translating the current
+        configuration by the action vector.  This is a low-level call and does
+        not attempt to respect the legality of the movement.
+
+        Actions are movement vectors.
+        """
+        x, y= self.pos
+        dx, dy = vector
+        direction = Actions.vectorToDirection(vector)
+        if direction == Directions.STOP:
+            direction = self.direction # There is no stop direction
+        return Configuration((x + dx, y+dy), direction)
+
+class AgentState:
+    """
+    AgentStates hold the state of an agent (configuration, speed, scared, etc).
+    """
+
+    def __init__( self, startConfiguration, isPacman ):
+        self.start = startConfiguration
+        self.configuration = startConfiguration
+        self.isPacman = isPacman
+        self.scaredTimer = 0
+        self.numCarrying = 0
+        self.numReturned = 0
+
+    def __str__( self ):
+        if self.isPacman:
+            return "Pacman: " + str( self.configuration )
+        else:
+            return "Ghost: " + str( self.configuration )
+
+    def __eq__( self, other ):
+        if other == None:
+            return False
+        return self.configuration == other.configuration and self.scaredTimer == other.scaredTimer
+
+    def __hash__(self):
+        return hash(hash(self.configuration) + 13 * hash(self.scaredTimer))
+
+    def copy( self ):
+        state = AgentState( self.start, self.isPacman )
+        state.configuration = self.configuration
+        state.scaredTimer = self.scaredTimer
+        state.numCarrying = self.numCarrying
+        state.numReturned = self.numReturned
+        return state
+
+    def getPosition(self):
+        if self.configuration == None: return None
+        return self.configuration.getPosition()
+
+    def getDirection(self):
+        return self.configuration.getDirection()
+
+class Grid:
+    """
+    A 2-dimensional array of objects backed by a list of lists.  Data is accessed
+    via grid[x][y] where (x,y) are positions on a Pacman map with x horizontal,
+    y vertical and the origin (0,0) in the bottom left corner.
+
+    The __str__ method constructs an output that is oriented like a pacman board.
+    """
+    def __init__(self, width, height, initialValue=False, bitRepresentation=None):
+        if initialValue not in [False, True]: raise Exception('Grids can only contain booleans')
+        self.CELLS_PER_INT = 30
+
+        self.width = width
+        self.height = height
+        self.data = [[initialValue for y in range(height)] for x in range(width)]
+        if bitRepresentation:
+            self._unpackBits(bitRepresentation)
+
+    def __getitem__(self, i):
+        return self.data[i]
+
+    def __setitem__(self, key, item):
+        self.data[key] = item
+
+    def __str__(self):
+        out = [[str(self.data[x][y])[0] for x in range(self.width)] for y in range(self.height)]
+        out.reverse()
+        return '\n'.join([''.join(x) for x in out])
+
+    def __eq__(self, other):
+        if other == None: return False
+        return self.data == other.data
+
+    def __hash__(self):
+        # return hash(str(self))
+        base = 1
+        h = 0
+        for l in self.data:
+            for i in l:
+                if i:
+                    h += base
+                base *= 2
+        return hash(h)
+
+    def copy(self):
+        g = Grid(self.width, self.height)
+        g.data = [x[:] for x in self.data]
+        return g
+
+    def deepCopy(self):
+        return self.copy()
+
+    def shallowCopy(self):
+        g = Grid(self.width, self.height)
+        g.data = self.data
+        return g
+
+    def count(self, item =True ):
+        return sum([x.count(item) for x in self.data])
+
+    def asList(self, key = True):
+        list = []
+        for x in range(self.width):
+            for y in range(self.height):
+                if self[x][y] == key: list.append( (x,y) )
+        return list
+
+    def packBits(self):
+        """
+        Returns an efficient int list representation
+
+        (width, height, bitPackedInts...)
+        """
+        bits = [self.width, self.height]
+        currentInt = 0
+        for i in range(self.height * self.width):
+            bit = self.CELLS_PER_INT - (i % self.CELLS_PER_INT) - 1
+            x, y = self._cellIndexToPosition(i)
+            if self[x][y]:
+                currentInt += 2 ** bit
+            if (i + 1) % self.CELLS_PER_INT == 0:
+                bits.append(currentInt)
+                currentInt = 0
+        bits.append(currentInt)
+        return tuple(bits)
+
+    def _cellIndexToPosition(self, index):
+        x = index / self.height
+        y = index % self.height
+        return x, y
+
+    def _unpackBits(self, bits):
+        """
+        Fills in data from a bit-level representation
+        """
+        cell = 0
+        for packed in bits:
+            for bit in self._unpackInt(packed, self.CELLS_PER_INT):
+                if cell == self.width * self.height: break
+                x, y = self._cellIndexToPosition(cell)
+                self[x][y] = bit
+                cell += 1
+
+    def _unpackInt(self, packed, size):
+        bools = []
+        if packed < 0: raise ValueError, "must be a positive integer"
+        for i in range(size):
+            n = 2 ** (self.CELLS_PER_INT - i - 1)
+            if packed >= n:
+                bools.append(True)
+                packed -= n
+            else:
+                bools.append(False)
+        return bools
+
+def reconstituteGrid(bitRep):
+    if type(bitRep) is not type((1,2)):
+        return bitRep
+    width, height = bitRep[:2]
+    return Grid(width, height, bitRepresentation= bitRep[2:])
+
+####################################
+# Parts you shouldn't have to read #
+####################################
+
+class Actions:
+    """
+    A collection of static methods for manipulating move actions.
+    """
+    # Directions
+    _directions = {Directions.NORTH: (0, 1),
+                   Directions.SOUTH: (0, -1),
+                   Directions.EAST:  (1, 0),
+                   Directions.WEST:  (-1, 0),
+                   Directions.STOP:  (0, 0)}
+
+    _directionsAsList = _directions.items()
+
+    TOLERANCE = .001
+
+    def reverseDirection(action):
+        if action == Directions.NORTH:
+            return Directions.SOUTH
+        if action == Directions.SOUTH:
+            return Directions.NORTH
+        if action == Directions.EAST:
+            return Directions.WEST
+        if action == Directions.WEST:
+            return Directions.EAST
+        return action
+    reverseDirection = staticmethod(reverseDirection)
+
+    def vectorToDirection(vector):
+        dx, dy = vector
+        if dy > 0:
+            return Directions.NORTH
+        if dy < 0:
+            return Directions.SOUTH
+        if dx < 0:
+            return Directions.WEST
+        if dx > 0:
+            return Directions.EAST
+        return Directions.STOP
+    vectorToDirection = staticmethod(vectorToDirection)
+
+    def directionToVector(direction, speed = 1.0):
+        dx, dy =  Actions._directions[direction]
+        return (dx * speed, dy * speed)
+    directionToVector = staticmethod(directionToVector)
+
+    def getPossibleActions(config, walls):
+        possible = []
+        x, y = config.pos
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+
+        # In between grid points, all agents must continue straight
+        if (abs(x - x_int) + abs(y - y_int)  > Actions.TOLERANCE):
+            return [config.getDirection()]
+
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_y = y_int + dy
+            next_x = x_int + dx
+            if not walls[next_x][next_y]: possible.append(dir)
+
+        return possible
+
+    getPossibleActions = staticmethod(getPossibleActions)
+
+    def getLegalNeighbors(position, walls):
+        x,y = position
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+        neighbors = []
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_x = x_int + dx
+            if next_x < 0 or next_x == walls.width: continue
+            next_y = y_int + dy
+            if next_y < 0 or next_y == walls.height: continue
+            if not walls[next_x][next_y]: neighbors.append((next_x, next_y))
+        return neighbors
+    getLegalNeighbors = staticmethod(getLegalNeighbors)
+
+    def getSuccessor(position, action):
+        dx, dy = Actions.directionToVector(action)
+        x, y = position
+        return (x + dx, y + dy)
+    getSuccessor = staticmethod(getSuccessor)
+
+class GameStateData:
+    """
+
+    """
+    def __init__( self, prevState = None ):
+        """
+        Generates a new data packet by copying information from its predecessor.
+        """
+        if prevState != None:
+            self.food = prevState.food.shallowCopy()
+            self.capsules = prevState.capsules[:]
+            self.agentStates = self.copyAgentStates( prevState.agentStates )
+            self.layout = prevState.layout
+            self._eaten = prevState._eaten
+            self.score = prevState.score
+
+        self._foodEaten = None
+        self._foodAdded = None
+        self._capsuleEaten = None
+        self._agentMoved = None
+        self._lose = False
+        self._win = False
+        self.scoreChange = 0
+
+    def deepCopy( self ):
+        state = GameStateData( self )
+        state.food = self.food.deepCopy()
+        state.layout = self.layout.deepCopy()
+        state._agentMoved = self._agentMoved
+        state._foodEaten = self._foodEaten
+        state._foodAdded = self._foodAdded
+        state._capsuleEaten = self._capsuleEaten
+        return state
+
+    def copyAgentStates( self, agentStates ):
+        copiedStates = []
+        for agentState in agentStates:
+            copiedStates.append( agentState.copy() )
+        return copiedStates
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        if other == None: return False
+        # TODO Check for type of other
+        if not self.agentStates == other.agentStates: return False
+        if not self.food == other.food: return False
+        if not self.capsules == other.capsules: return False
+        if not self.score == other.score: return False
+        return True
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        for i, state in enumerate( self.agentStates ):
+            try:
+                int(hash(state))
+            except TypeError, e:
+                print e
+                #hash(state)
+        return int((hash(tuple(self.agentStates)) + 13*hash(self.food) + 113* hash(tuple(self.capsules)) + 7 * hash(self.score)) % 1048575 )
+
+    def __str__( self ):
+        width, height = self.layout.width, self.layout.height
+        map = Grid(width, height)
+        if type(self.food) == type((1,2)):
+            self.food = reconstituteGrid(self.food)
+        for x in range(width):
+            for y in range(height):
+                food, walls = self.food, self.layout.walls
+                map[x][y] = self._foodWallStr(food[x][y], walls[x][y])
+
+        for agentState in self.agentStates:
+            if agentState == None: continue
+            if agentState.configuration == None: continue
+            x,y = [int( i ) for i in nearestPoint( agentState.configuration.pos )]
+            agent_dir = agentState.configuration.direction
+            if agentState.isPacman:
+                map[x][y] = self._pacStr( agent_dir )
+            else:
+                map[x][y] = self._ghostStr( agent_dir )
+
+        for x, y in self.capsules:
+            map[x][y] = 'o'
+
+        return str(map) + ("\nScore: %d\n" % self.score)
+
+    def _foodWallStr( self, hasFood, hasWall ):
+        if hasFood:
+            return '.'
+        elif hasWall:
+            return '%'
+        else:
+            return ' '
+
+    def _pacStr( self, dir ):
+        if dir == Directions.NORTH:
+            return 'v'
+        if dir == Directions.SOUTH:
+            return '^'
+        if dir == Directions.WEST:
+            return '>'
+        return '<'
+
+    def _ghostStr( self, dir ):
+        return 'G'
+        if dir == Directions.NORTH:
+            return 'M'
+        if dir == Directions.SOUTH:
+            return 'W'
+        if dir == Directions.WEST:
+            return '3'
+        return 'E'
+
+    def initialize( self, layout, numGhostAgents ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.food = layout.food.copy()
+        #self.capsules = []
+        self.capsules = layout.capsules[:]
+        self.layout = layout
+        self.score = 0
+        self.scoreChange = 0
+
+        self.agentStates = []
+        numGhosts = 0
+        for isPacman, pos in layout.agentPositions:
+            if not isPacman:
+                if numGhosts == numGhostAgents: continue # Max ghosts reached already
+                else: numGhosts += 1
+            self.agentStates.append( AgentState( Configuration( pos, Directions.STOP), isPacman) )
+        self._eaten = [False for a in self.agentStates]
+
+try:
+    import boinc
+    _BOINC_ENABLED = True
+except:
+    _BOINC_ENABLED = False
+
+class Game:
+    """
+    The Game manages the control flow, soliciting actions from agents.
+    """
+
+    def __init__( self, agents, display, rules, startingIndex=0, muteAgents=False, catchExceptions=False ):
+        self.agentCrashed = False
+        self.agents = agents
+        self.display = display
+        self.rules = rules
+        self.startingIndex = startingIndex
+        self.gameOver = False
+        self.muteAgents = muteAgents
+        self.catchExceptions = catchExceptions
+        self.moveHistory = []
+        self.totalAgentTimes = [0 for agent in agents]
+        self.totalAgentTimeWarnings = [0 for agent in agents]
+        self.agentTimeout = False
+        import cStringIO
+        self.agentOutput = [cStringIO.StringIO() for agent in agents]
+
+    def getProgress(self):
+        if self.gameOver:
+            return 1.0
+        else:
+            return self.rules.getProgress(self)
+
+    def _agentCrash( self, agentIndex, quiet=False):
+        "Helper method for handling agent crashes"
+        if not quiet: traceback.print_exc()
+        self.gameOver = True
+        self.agentCrashed = True
+        self.rules.agentCrash(self, agentIndex)
+
+    OLD_STDOUT = None
+    OLD_STDERR = None
+
+    def mute(self, agentIndex):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        import cStringIO
+        OLD_STDOUT = sys.stdout
+        OLD_STDERR = sys.stderr
+        sys.stdout = self.agentOutput[agentIndex]
+        sys.stderr = self.agentOutput[agentIndex]
+
+    def unmute(self):
+        if not self.muteAgents: return
+        global OLD_STDOUT, OLD_STDERR
+        # Revert stdout/stderr to originals
+        sys.stdout = OLD_STDOUT
+        sys.stderr = OLD_STDERR
+
+
+    def run( self ):
+        """
+        Main control loop for game play.
+        """
+        self.display.initialize(self.state.data)
+        self.numMoves = 0
+
+        ###self.display.initialize(self.state.makeObservation(1).data)
+        # inform learning agents of the game start
+        for i in range(len(self.agents)):
+            agent = self.agents[i]
+            if not agent:
+                self.mute(i)
+                # this is a null agent, meaning it failed to load
+                # the other team wins
+                print >>sys.stderr, "Agent %d failed to load" % i
+                self.unmute()
+                self._agentCrash(i, quiet=True)
+                return
+            if ("registerInitialState" in dir(agent)):
+                self.mute(i)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.registerInitialState, int(self.rules.getMaxStartupTime(i)))
+                        try:
+                            start_time = time.time()
+                            timed_func(self.state.deepCopy())
+                            time_taken = time.time() - start_time
+                            self.totalAgentTimes[i] += time_taken
+                        except TimeoutFunctionException:
+                            print >>sys.stderr, "Agent %d ran out of time on startup!" % i
+                            self.unmute()
+                            self.agentTimeout = True
+                            self._agentCrash(i, quiet=True)
+                            return
+                    except Exception,data:
+                        self._agentCrash(i, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    agent.registerInitialState(self.state.deepCopy())
+                ## TODO: could this exceed the total time
+                self.unmute()
+
+        agentIndex = self.startingIndex
+        numAgents = len( self.agents )
+
+        while not self.gameOver:
+            # Fetch the next agent
+            agent = self.agents[agentIndex]
+            move_time = 0
+            skip_action = False
+            # Generate an observation of the state
+            if 'observationFunction' in dir( agent ):
+                self.mute(agentIndex)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.observationFunction, int(self.rules.getMoveTimeout(agentIndex)))
+                        try:
+                            start_time = time.time()
+                            observation = timed_func(self.state.deepCopy())
+                        except TimeoutFunctionException:
+                            skip_action = True
+                        move_time += time.time() - start_time
+                        self.unmute()
+                    except Exception,data:
+                        self._agentCrash(agentIndex, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    observation = agent.observationFunction(self.state.deepCopy())
+                self.unmute()
+            else:
+                observation = self.state.deepCopy()
+
+            # Solicit an action
+            action = None
+            self.mute(agentIndex)
+            if self.catchExceptions:
+                try:
+                    timed_func = TimeoutFunction(agent.getAction, int(self.rules.getMoveTimeout(agentIndex)) - int(move_time))
+                    try:
+                        start_time = time.time()
+                        if skip_action:
+                            raise TimeoutFunctionException()
+                        action = timed_func( observation )
+                    except TimeoutFunctionException:
+                        print >>sys.stderr, "Agent %d timed out on a single move!" % agentIndex
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+
+                    move_time += time.time() - start_time
+
+                    if move_time > self.rules.getMoveWarningTime(agentIndex):
+                        self.totalAgentTimeWarnings[agentIndex] += 1
+                        print >>sys.stderr, "Agent %d took too long to make a move! This is warning %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                        if self.totalAgentTimeWarnings[agentIndex] > self.rules.getMaxTimeWarnings(agentIndex):
+                            print >>sys.stderr, "Agent %d exceeded the maximum number of warnings: %d" % (agentIndex, self.totalAgentTimeWarnings[agentIndex])
+                            self.agentTimeout = True
+                            self._agentCrash(agentIndex, quiet=True)
+                            self.unmute()
+                            return
+
+                    self.totalAgentTimes[agentIndex] += move_time
+                    #print "Agent: %d, time: %f, total: %f" % (agentIndex, move_time, self.totalAgentTimes[agentIndex])
+                    if self.totalAgentTimes[agentIndex] > self.rules.getMaxTotalTime(agentIndex):
+                        print >>sys.stderr, "Agent %d ran out of time! (time: %1.2f)" % (agentIndex, self.totalAgentTimes[agentIndex])
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+                    self.unmute()
+                except Exception,data:
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                action = agent.getAction(observation)
+            self.unmute()
+
+            # Execute the action
+            self.moveHistory.append( (agentIndex, action) )
+            if self.catchExceptions:
+                try:
+                    self.state = self.state.generateSuccessor( agentIndex, action )
+                except Exception,data:
+                    self.mute(agentIndex)
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                self.state = self.state.generateSuccessor( agentIndex, action )
+
+            # Change the display
+            self.display.update( self.state.data )
+            ###idx = agentIndex - agentIndex % 2 + 1
+            ###self.display.update( self.state.makeObservation(idx).data )
+
+            # Allow for game specific conditions (winning, losing, etc.)
+            self.rules.process(self.state, self)
+            # Track progress
+            if agentIndex == numAgents + 1: self.numMoves += 1
+            # Next agent
+            agentIndex = ( agentIndex + 1 ) % numAgents
+
+            if _BOINC_ENABLED:
+                boinc.set_fraction_done(self.getProgress())
+
+        # inform a learning agent of the game result
+        for agentIndex, agent in enumerate(self.agents):
+            if "final" in dir( agent ) :
+                try:
+                    self.mute(agentIndex)
+                    agent.final( self.state )
+                    self.unmute()
+                except Exception,data:
+                    if not self.catchExceptions: raise
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+        self.display.finish()
diff --git a/cs188-projects-master/P6 Classification/game.pyc b/cs188-projects-master/P6 Classification/game.pyc
new file mode 100644
index 0000000..43f9ef2
Binary files /dev/null and b/cs188-projects-master/P6 Classification/game.pyc differ
diff --git a/cs188-projects-master/P6 Classification/ghostAgents.py b/cs188-projects-master/P6 Classification/ghostAgents.py
new file mode 100644
index 0000000..c3afe1f
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/ghostAgents.py	
@@ -0,0 +1,81 @@
+# ghostAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Actions
+from game import Directions
+import random
+from util import manhattanDistance
+import util
+
+class GhostAgent( Agent ):
+    def __init__( self, index ):
+        self.index = index
+
+    def getAction( self, state ):
+        dist = self.getDistribution(state)
+        if len(dist) == 0:
+            return Directions.STOP
+        else:
+            return util.chooseFromDistribution( dist )
+
+    def getDistribution(self, state):
+        "Returns a Counter encoding a distribution over actions from the provided state."
+        util.raiseNotDefined()
+
+class RandomGhost( GhostAgent ):
+    "A ghost that chooses a legal action uniformly at random."
+    def getDistribution( self, state ):
+        dist = util.Counter()
+        for a in state.getLegalActions( self.index ): dist[a] = 1.0
+        dist.normalize()
+        return dist
+
+class DirectionalGhost( GhostAgent ):
+    "A ghost that prefers to rush Pacman, or flee when scared."
+    def __init__( self, index, prob_attack=0.8, prob_scaredFlee=0.8 ):
+        self.index = index
+        self.prob_attack = prob_attack
+        self.prob_scaredFlee = prob_scaredFlee
+
+    def getDistribution( self, state ):
+        # Read variables from state
+        ghostState = state.getGhostState( self.index )
+        legalActions = state.getLegalActions( self.index )
+        pos = state.getGhostPosition( self.index )
+        isScared = ghostState.scaredTimer > 0
+
+        speed = 1
+        if isScared: speed = 0.5
+
+        actionVectors = [Actions.directionToVector( a, speed ) for a in legalActions]
+        newPositions = [( pos[0]+a[0], pos[1]+a[1] ) for a in actionVectors]
+        pacmanPosition = state.getPacmanPosition()
+
+        # Select best actions given the state
+        distancesToPacman = [manhattanDistance( pos, pacmanPosition ) for pos in newPositions]
+        if isScared:
+            bestScore = max( distancesToPacman )
+            bestProb = self.prob_scaredFlee
+        else:
+            bestScore = min( distancesToPacman )
+            bestProb = self.prob_attack
+        bestActions = [action for action, distance in zip( legalActions, distancesToPacman ) if distance == bestScore]
+
+        # Construct distribution
+        dist = util.Counter()
+        for a in bestActions: dist[a] = bestProb / len(bestActions)
+        for a in legalActions: dist[a] += ( 1-bestProb ) / len(legalActions)
+        dist.normalize()
+        return dist
diff --git a/cs188-projects-master/P6 Classification/grading.py b/cs188-projects-master/P6 Classification/grading.py
new file mode 100644
index 0000000..059f436
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/grading.py	
@@ -0,0 +1,323 @@
+# grading.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"Common code for autograders"
+
+import cgi
+import time
+import sys
+import json
+import traceback
+import pdb
+from collections import defaultdict
+import util
+
+class Grades:
+  "A data structure for project grades, along with formatting code to display them"
+  def __init__(self, projectName, questionsAndMaxesList,
+               gsOutput=False, edxOutput=False, muteOutput=False):
+    """
+    Defines the grading scheme for a project
+      projectName: project name
+      questionsAndMaxesDict: a list of (question name, max points per question)
+    """
+    self.questions = [el[0] for el in questionsAndMaxesList]
+    self.maxes = dict(questionsAndMaxesList)
+    self.points = Counter()
+    self.messages = dict([(q, []) for q in self.questions])
+    self.project = projectName
+    self.start = time.localtime()[1:6]
+    self.sane = True # Sanity checks
+    self.currentQuestion = None # Which question we're grading
+    self.edxOutput = edxOutput
+    self.gsOutput = gsOutput  # GradeScope output
+    self.mute = muteOutput
+    self.prereqs = defaultdict(set)
+
+    #print 'Autograder transcript for %s' % self.project
+    print 'Starting on %d-%d at %d:%02d:%02d' % self.start
+
+  def addPrereq(self, question, prereq):
+    self.prereqs[question].add(prereq)
+
+  def grade(self, gradingModule, exceptionMap = {}, bonusPic = False):
+    """
+    Grades each question
+      gradingModule: the module with all the grading functions (pass in with sys.modules[__name__])
+    """
+
+    completedQuestions = set([])
+    for q in self.questions:
+      print '\nQuestion %s' % q
+      print '=' * (9 + len(q))
+      print
+      self.currentQuestion = q
+
+      incompleted = self.prereqs[q].difference(completedQuestions)
+      if len(incompleted) > 0:
+          prereq = incompleted.pop()
+          print \
+"""*** NOTE: Make sure to complete Question %s before working on Question %s,
+*** because Question %s builds upon your answer for Question %s.
+""" % (prereq, q, q, prereq)
+          continue
+
+      if self.mute: util.mutePrint()
+      try:
+        util.TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function
+        #TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function
+      except Exception, inst:
+        self.addExceptionMessage(q, inst, traceback)
+        self.addErrorHints(exceptionMap, inst, q[1])
+      except:
+        self.fail('FAIL: Terminated with a string exception.')
+      finally:
+        if self.mute: util.unmutePrint()
+
+      if self.points[q] >= self.maxes[q]:
+        completedQuestions.add(q)
+
+      print '\n### Question %s: %d/%d ###\n' % (q, self.points[q], self.maxes[q])
+
+
+    print '\nFinished at %d:%02d:%02d' % time.localtime()[3:6]
+    print "\nProvisional grades\n=================="
+
+    for q in self.questions:
+      print 'Question %s: %d/%d' % (q, self.points[q], self.maxes[q])
+    print '------------------'
+    print 'Total: %d/%d' % (self.points.totalCount(), sum(self.maxes.values()))
+    if bonusPic and self.points.totalCount() == 25:
+      print """
+
+                     ALL HAIL GRANDPAC.
+              LONG LIVE THE GHOSTBUSTING KING.
+
+                  ---      ----      ---
+                  |  \    /  + \    /  |
+                  | + \--/      \--/ + |
+                  |   +     +          |
+                  | +     +        +   |
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+             \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              V   \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                   \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    V     @@@@@@@@@@@@@@@@@@@@@@@@
+                            @@@@@@@@@@@@@@@@@@@@@@
+                    /\      @@@@@@@@@@@@@@@@@@@@@@
+                   /  \  @@@@@@@@@@@@@@@@@@@@@@@@@
+              /\  /    @@@@@@@@@@@@@@@@@@@@@@@@@@@
+             /  \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            /    @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    @@@@@@@@@@@@@@@@@@
+
+"""
+    print """
+Your grades are NOT yet registered.  To register your grades, make sure
+to follow your instructor's guidelines to receive credit on your project.
+"""
+
+    if self.edxOutput:
+        self.produceOutput()
+    if self.gsOutput:
+        self.produceGradeScopeOutput()
+
+  def addExceptionMessage(self, q, inst, traceback):
+    """
+    Method to format the exception message, this is more complicated because
+    we need to cgi.escape the traceback but wrap the exception in a 
 tag
+    """
+    self.fail('FAIL: Exception raised: %s' % inst)
+    self.addMessage('')
+    for line in traceback.format_exc().split('\n'):
+        self.addMessage(line)
+
+  def addErrorHints(self, exceptionMap, errorInstance, questionNum):
+    typeOf = str(type(errorInstance))
+    questionName = 'q' + questionNum
+    errorHint = ''
+
+    # question specific error hints
+    if exceptionMap.get(questionName):
+      questionMap = exceptionMap.get(questionName)
+      if (questionMap.get(typeOf)):
+        errorHint = questionMap.get(typeOf)
+    # fall back to general error messages if a question specific
+    # one does not exist
+    if (exceptionMap.get(typeOf)):
+      errorHint = exceptionMap.get(typeOf)
+
+    # dont include the HTML if we have no error hint
+    if not errorHint:
+      return ''
+
+    for line in errorHint.split('\n'):
+      self.addMessage(line)
+
+  def produceGradeScopeOutput(self):
+    out_dct = {}
+
+    # total of entire submission
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    out_dct['score'] = total_score
+    out_dct['max_score'] = total_possible
+    out_dct['output'] = "Total score (%d / %d)" % (total_score, total_possible)
+
+    # individual tests
+    tests_out = []
+    for name in self.questions:
+      test_out = {}
+      # test name
+      test_out['name'] = name
+      # test score
+      test_out['score'] = self.points[name]
+      test_out['max_score'] = self.maxes[name]
+      # others
+      is_correct = self.points[name] >= self.maxes[name]
+      test_out['output'] = "  Question {num} ({points}/{max}) {correct}".format(
+          num=(name[1] if len(name) == 2 else name),
+          points=test_out['score'],
+          max=test_out['max_score'],
+          correct=('X' if not is_correct else ''),
+      )
+      test_out['tags'] = []
+      tests_out.append(test_out)
+    out_dct['tests'] = tests_out
+
+    # file output
+    with open('gradescope_response.json', 'w') as outfile:
+        json.dump(out_dct, outfile)
+    return
+
+  def produceOutput(self):
+    edxOutput = open('edx_response.html', 'w')
+    edxOutput.write("
")
+
+    # first sum
+    total_possible = sum(self.maxes.values())
+    total_score = sum(self.points.values())
+    checkOrX = ''
+    if (total_score >= total_possible):
+        checkOrX = ''
+    header = """
+        

+            Total score ({total_score} / {total_possible})
+        

+    """.format(total_score = total_score,
+      total_possible = total_possible,
+      checkOrX = checkOrX
+    )
+    edxOutput.write(header)
+
+    for q in self.questions:
+      if len(q) == 2:
+          name = q[1]
+      else:
+          name = q
+      checkOrX = ''
+      if (self.points[q] >= self.maxes[q]):
+        checkOrX = ''
+      #messages = '\n
\n'.join(self.messages[q])
+      messages = "
%s
" % '\n'.join(self.messages[q])
+      output = """
+        

+          

+          

+            Question {q} ({points}/{max}) {checkOrX}
+          

+        

+          {messages}
+        

+        

+      

+      """.format(q = name,
+        max = self.maxes[q],
+        messages = messages,
+        checkOrX = checkOrX,
+        points = self.points[q]
+      )
+      # print "*** output for Question %s " % q[1]
+      # print output
+      edxOutput.write(output)
+    edxOutput.write("
")
+    edxOutput.close()
+    edxOutput = open('edx_grade', 'w')
+    edxOutput.write(str(self.points.totalCount()))
+    edxOutput.close()
+
+  def fail(self, message, raw=False):
+    "Sets sanity check bit to false and outputs a message"
+    self.sane = False
+    self.assignZeroCredit()
+    self.addMessage(message, raw)
+
+  def assignZeroCredit(self):
+    self.points[self.currentQuestion] = 0
+
+  def addPoints(self, amt):
+    self.points[self.currentQuestion] += amt
+
+  def deductPoints(self, amt):
+    self.points[self.currentQuestion] -= amt
+
+  def assignFullCredit(self, message="", raw=False):
+    self.points[self.currentQuestion] = self.maxes[self.currentQuestion]
+    if message != "":
+      self.addMessage(message, raw)
+
+  def addMessage(self, message, raw=False):
+    if not raw:
+        # We assume raw messages, formatted for HTML, are printed separately
+        if self.mute: util.unmutePrint()
+        print '*** ' + message
+        if self.mute: util.mutePrint()
+        message = cgi.escape(message)
+    self.messages[self.currentQuestion].append(message)
+
+  def addMessageToEmail(self, message):
+    print "WARNING**** addMessageToEmail is deprecated %s" % message
+    for line in message.split('\n'):
+      pass
+      #print '%%% ' + line + ' %%%'
+      #self.messages[self.currentQuestion].append(line)
+
+
+
+
+
+class Counter(dict):
+  """
+  Dict with default 0
+  """
+  def __getitem__(self, idx):
+    try:
+      return dict.__getitem__(self, idx)
+    except KeyError:
+      return 0
+
+  def totalCount(self):
+    """
+    Returns the sum of counts for all keys.
+    """
+    return sum(self.values())
+
diff --git a/cs188-projects-master/P6 Classification/grading.pyc b/cs188-projects-master/P6 Classification/grading.pyc
new file mode 100644
index 0000000..72e7341
Binary files /dev/null and b/cs188-projects-master/P6 Classification/grading.pyc differ
diff --git a/cs188-projects-master/P6 Classification/graphicsDisplay.py b/cs188-projects-master/P6 Classification/graphicsDisplay.py
new file mode 100644
index 0000000..1b41f48
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/graphicsDisplay.py	
@@ -0,0 +1,679 @@
+# graphicsDisplay.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsUtils import *
+import math, time
+from game import Directions
+
+###########################
+#  GRAPHICS DISPLAY CODE  #
+###########################
+
+# Most code by Dan Klein and John Denero written or rewritten for cs188, UC Berkeley.
+# Some code from a Pacman implementation by LiveWires, and used / modified with permission.
+
+DEFAULT_GRID_SIZE = 30.0
+INFO_PANE_HEIGHT = 35
+BACKGROUND_COLOR = formatColor(0,0,0)
+WALL_COLOR = formatColor(0.0/255.0, 51.0/255.0, 255.0/255.0)
+INFO_PANE_COLOR = formatColor(.4,.4,0)
+SCORE_COLOR = formatColor(.9, .9, .9)
+PACMAN_OUTLINE_WIDTH = 2
+PACMAN_CAPTURE_OUTLINE_WIDTH = 4
+
+GHOST_COLORS = []
+GHOST_COLORS.append(formatColor(.9,0,0)) # Red
+GHOST_COLORS.append(formatColor(0,.3,.9)) # Blue
+GHOST_COLORS.append(formatColor(.98,.41,.07)) # Orange
+GHOST_COLORS.append(formatColor(.1,.75,.7)) # Green
+GHOST_COLORS.append(formatColor(1.0,0.6,0.0)) # Yellow
+GHOST_COLORS.append(formatColor(.4,0.13,0.91)) # Purple
+
+TEAM_COLORS = GHOST_COLORS[:2]
+
+GHOST_SHAPE = [
+    ( 0,    0.3 ),
+    ( 0.25, 0.75 ),
+    ( 0.5,  0.3 ),
+    ( 0.75, 0.75 ),
+    ( 0.75, -0.5 ),
+    ( 0.5,  -0.75 ),
+    (-0.5,  -0.75 ),
+    (-0.75, -0.5 ),
+    (-0.75, 0.75 ),
+    (-0.5,  0.3 ),
+    (-0.25, 0.75 )
+  ]
+GHOST_SIZE = 0.65
+SCARED_COLOR = formatColor(1,1,1)
+
+GHOST_VEC_COLORS = map(colorToVector, GHOST_COLORS)
+
+PACMAN_COLOR = formatColor(255.0/255.0,255.0/255.0,61.0/255)
+PACMAN_SCALE = 0.5
+#pacman_speed = 0.25
+
+# Food
+FOOD_COLOR = formatColor(1,1,1)
+FOOD_SIZE = 0.1
+
+# Laser
+LASER_COLOR = formatColor(1,0,0)
+LASER_SIZE = 0.02
+
+# Capsule graphics
+CAPSULE_COLOR = formatColor(1,1,1)
+CAPSULE_SIZE = 0.25
+
+# Drawing walls
+WALL_RADIUS = 0.15
+
+class InfoPane:
+    def __init__(self, layout, gridSize):
+        self.gridSize = gridSize
+        self.width = (layout.width) * gridSize
+        self.base = (layout.height + 1) * gridSize
+        self.height = INFO_PANE_HEIGHT
+        self.fontSize = 24
+        self.textColor = PACMAN_COLOR
+        self.drawPane()
+
+    def toScreen(self, pos, y = None):
+        """
+          Translates a point relative from the bottom left of the info pane.
+        """
+        if y == None:
+            x,y = pos
+        else:
+            x = pos
+
+        x = self.gridSize + x # Margin
+        y = self.base + y
+        return x,y
+
+    def drawPane(self):
+        self.scoreText = text( self.toScreen(0, 0  ), self.textColor, "SCORE:    0", "Times", self.fontSize, "bold")
+
+    def initializeGhostDistances(self, distances):
+        self.ghostDistanceText = []
+
+        size = 20
+        if self.width < 240:
+            size = 12
+        if self.width < 160:
+            size = 10
+
+        for i, d in enumerate(distances):
+            t = text( self.toScreen(self.width/2 + self.width/8 * i, 0), GHOST_COLORS[i+1], d, "Times", size, "bold")
+            self.ghostDistanceText.append(t)
+
+    def updateScore(self, score):
+        changeText(self.scoreText, "SCORE: % 4d" % score)
+
+    def setTeam(self, isBlue):
+        text = "RED TEAM"
+        if isBlue: text = "BLUE TEAM"
+        self.teamText = text( self.toScreen(300, 0  ), self.textColor, text, "Times", self.fontSize, "bold")
+
+    def updateGhostDistances(self, distances):
+        if len(distances) == 0: return
+        if 'ghostDistanceText' not in dir(self): self.initializeGhostDistances(distances)
+        else:
+            for i, d in enumerate(distances):
+                changeText(self.ghostDistanceText[i], d)
+
+    def drawGhost(self):
+        pass
+
+    def drawPacman(self):
+        pass
+
+    def drawWarning(self):
+        pass
+
+    def clearIcon(self):
+        pass
+
+    def updateMessage(self, message):
+        pass
+
+    def clearMessage(self):
+        pass
+
+
+class PacmanGraphics(object):
+    def __init__(self, zoom=1.0, frameTime=0.0, capture=False):
+        self.have_window = 0
+        self.currentGhostImages = {}
+        self.pacmanImage = None
+        self.zoom = zoom
+        self.gridSize = DEFAULT_GRID_SIZE * zoom
+        self.capture = capture
+        self.frameTime = frameTime
+
+    def checkNullDisplay(self):
+        return False
+
+    def initialize(self, state, isBlue = False):
+        self.isBlue = isBlue
+        self.startGraphics(state)
+
+        # self.drawDistributions(state)
+        self.distributionImages = None  # Initialized lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def startGraphics(self, state):
+        self.layout = state.layout
+        layout = self.layout
+        self.width = layout.width
+        self.height = layout.height
+        self.make_window(self.width, self.height)
+        self.infoPane = InfoPane(layout, self.gridSize)
+        self.currentState = layout
+
+    def drawDistributions(self, state):
+        walls = state.layout.walls
+        dist = []
+        for x in range(walls.width):
+            distx = []
+            dist.append(distx)
+            for y in range(walls.height):
+                ( screen_x, screen_y ) = self.to_screen( (x, y) )
+                block = square( (screen_x, screen_y),
+                                0.5 * self.gridSize,
+                                color = BACKGROUND_COLOR,
+                                filled = 1, behind=2)
+                distx.append(block)
+        self.distributionImages = dist
+
+    def drawStaticObjects(self, state):
+        layout = self.layout
+        self.drawWalls(layout.walls)
+        self.food = self.drawFood(layout.food)
+        self.capsules = self.drawCapsules(layout.capsules)
+        refresh()
+
+    def drawAgentObjects(self, state):
+        self.agentImages = [] # (agentState, image)
+        for index, agent in enumerate(state.agentStates):
+            if agent.isPacman:
+                image = self.drawPacman(agent, index)
+                self.agentImages.append( (agent, image) )
+            else:
+                image = self.drawGhost(agent, index)
+                self.agentImages.append( (agent, image) )
+        refresh()
+
+    def swapImages(self, agentIndex, newState):
+        """
+          Changes an image from a ghost to a pacman or vis versa (for capture)
+        """
+        prevState, prevImage = self.agentImages[agentIndex]
+        for item in prevImage: remove_from_screen(item)
+        if newState.isPacman:
+            image = self.drawPacman(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        else:
+            image = self.drawGhost(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image )
+        refresh()
+
+    def update(self, newState):
+        agentIndex = newState._agentMoved
+        agentState = newState.agentStates[agentIndex]
+
+        if self.agentImages[agentIndex][0].isPacman != agentState.isPacman: self.swapImages(agentIndex, agentState)
+        prevState, prevImage = self.agentImages[agentIndex]
+        if agentState.isPacman:
+            self.animatePacman(agentState, prevState, prevImage)
+        else:
+            self.moveGhost(agentState, agentIndex, prevState, prevImage)
+        self.agentImages[agentIndex] = (agentState, prevImage)
+
+        if newState._foodEaten != None:
+            self.removeFood(newState._foodEaten, self.food)
+        if newState._capsuleEaten != None:
+            self.removeCapsule(newState._capsuleEaten, self.capsules)
+        self.infoPane.updateScore(newState.score)
+        if 'ghostDistances' in dir(newState):
+            self.infoPane.updateGhostDistances(newState.ghostDistances)
+
+    def make_window(self, width, height):
+        grid_width = (width-1) * self.gridSize
+        grid_height = (height-1) * self.gridSize
+        screen_width = 2*self.gridSize + grid_width
+        screen_height = 2*self.gridSize + grid_height + INFO_PANE_HEIGHT
+
+        begin_graphics(screen_width,
+                       screen_height,
+                       BACKGROUND_COLOR,
+                       "CS188 Pacman")
+
+    def drawPacman(self, pacman, index):
+        position = self.getPosition(pacman)
+        screen_point = self.to_screen(position)
+        endpoints = self.getEndpoints(self.getDirection(pacman))
+
+        width = PACMAN_OUTLINE_WIDTH
+        outlineColor = PACMAN_COLOR
+        fillColor = PACMAN_COLOR
+
+        if self.capture:
+            outlineColor = TEAM_COLORS[index % 2]
+            fillColor = GHOST_COLORS[index]
+            width = PACMAN_CAPTURE_OUTLINE_WIDTH
+
+        return [circle(screen_point, PACMAN_SCALE * self.gridSize,
+                       fillColor = fillColor, outlineColor = outlineColor,
+                       endpoints = endpoints,
+                       width = width)]
+
+    def getEndpoints(self, direction, position=(0,0)):
+        x, y = position
+        pos = x - int(x) + y - int(y)
+        width = 30 + 80 * math.sin(math.pi* pos)
+
+        delta = width / 2
+        if (direction == 'West'):
+            endpoints = (180+delta, 180-delta)
+        elif (direction == 'North'):
+            endpoints = (90+delta, 90-delta)
+        elif (direction == 'South'):
+            endpoints = (270+delta, 270-delta)
+        else:
+            endpoints = (0+delta, 0-delta)
+        return endpoints
+
+    def movePacman(self, position, direction, image):
+        screenPosition = self.to_screen(position)
+        endpoints = self.getEndpoints( direction, position )
+        r = PACMAN_SCALE * self.gridSize
+        moveCircle(image[0], screenPosition, r, endpoints)
+        refresh()
+
+    def animatePacman(self, pacman, prevPacman, image):
+        if self.frameTime < 0:
+            print 'Press any key to step forward, "q" to play'
+            keys = wait_for_keys()
+            if 'q' in keys:
+                self.frameTime = 0.1
+        if self.frameTime > 0.01 or self.frameTime < 0:
+            start = time.time()
+            fx, fy = self.getPosition(prevPacman)
+            px, py = self.getPosition(pacman)
+            frames = 4.0
+            for i in range(1,int(frames) + 1):
+                pos = px*i/frames + fx*(frames-i)/frames, py*i/frames + fy*(frames-i)/frames
+                self.movePacman(pos, self.getDirection(pacman), image)
+                refresh()
+                sleep(abs(self.frameTime) / frames)
+        else:
+            self.movePacman(self.getPosition(pacman), self.getDirection(pacman), image)
+        refresh()
+
+    def getGhostColor(self, ghost, ghostIndex):
+        if ghost.scaredTimer > 0:
+            return SCARED_COLOR
+        else:
+            return GHOST_COLORS[ghostIndex % 6]
+
+    def drawGhost(self, ghost, agentIndex):
+        pos = self.getPosition(ghost)
+        dir = self.getDirection(ghost)
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        coords = []
+        for (x, y) in GHOST_SHAPE:
+            coords.append((x*self.gridSize*GHOST_SIZE + screen_x, y*self.gridSize*GHOST_SIZE + screen_y))
+
+        colour = self.getGhostColor(ghost, agentIndex)
+        body = polygon(coords, colour, filled = 1)
+        WHITE = formatColor(1.0, 1.0, 1.0)
+        BLACK = formatColor(0.0, 0.0, 0.0)
+
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        leftEye = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        rightEye = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        leftPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        rightPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        ghostImageParts = []
+        ghostImageParts.append(body)
+        ghostImageParts.append(leftEye)
+        ghostImageParts.append(rightEye)
+        ghostImageParts.append(leftPupil)
+        ghostImageParts.append(rightPupil)
+
+        return ghostImageParts
+
+    def moveEyes(self, pos, dir, eyes):
+        (screen_x, screen_y) = (self.to_screen(pos) )
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        moveCircle(eyes[0],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[1],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[2],(screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+        moveCircle(eyes[3],(screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y-self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+
+    def moveGhost(self, ghost, ghostIndex, prevGhost, ghostImageParts):
+        old_x, old_y = self.to_screen(self.getPosition(prevGhost))
+        new_x, new_y = self.to_screen(self.getPosition(ghost))
+        delta = new_x - old_x, new_y - old_y
+
+        for ghostImagePart in ghostImageParts:
+            move_by(ghostImagePart, delta)
+        refresh()
+
+        if ghost.scaredTimer > 0:
+            color = SCARED_COLOR
+        else:
+            color = GHOST_COLORS[ghostIndex]
+        edit(ghostImageParts[0], ('fill', color), ('outline', color))
+        self.moveEyes(self.getPosition(ghost), self.getDirection(ghost), ghostImageParts[-4:])
+        refresh()
+
+    def getPosition(self, agentState):
+        if agentState.configuration == None: return (-1000, -1000)
+        return agentState.getPosition()
+
+    def getDirection(self, agentState):
+        if agentState.configuration == None: return Directions.STOP
+        return agentState.configuration.getDirection()
+
+    def finish(self):
+        end_graphics()
+
+    def to_screen(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    # Fixes some TK issue with off-center circles
+    def to_screen2(self, point):
+        ( x, y ) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height  - y)*self.gridSize
+        return ( x, y )
+
+    def drawWalls(self, wallMatrix):
+        wallColor = WALL_COLOR
+        for xNum, x in enumerate(wallMatrix):
+            if self.capture and (xNum * 2) < wallMatrix.width: wallColor = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) >= wallMatrix.width: wallColor = TEAM_COLORS[1]
+
+            for yNum, cell in enumerate(x):
+                if cell: # There's a wall here
+                    pos = (xNum, yNum)
+                    screen = self.to_screen(pos)
+                    screen2 = self.to_screen2(pos)
+
+                    # draw each quadrant of the square based on adjacent walls
+                    wIsWall = self.isWall(xNum-1, yNum, wallMatrix)
+                    eIsWall = self.isWall(xNum+1, yNum, wallMatrix)
+                    nIsWall = self.isWall(xNum, yNum+1, wallMatrix)
+                    sIsWall = self.isWall(xNum, yNum-1, wallMatrix)
+                    nwIsWall = self.isWall(xNum-1, yNum+1, wallMatrix)
+                    swIsWall = self.isWall(xNum-1, yNum-1, wallMatrix)
+                    neIsWall = self.isWall(xNum+1, yNum+1, wallMatrix)
+                    seIsWall = self.isWall(xNum+1, yNum-1, wallMatrix)
+
+                    # NE quadrant
+                    if (not nIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (0,91), 'arc')
+                    if (nIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (eIsWall) and (not neIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (180,271), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # NW quadrant
+                    if (not nIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (90,181), 'arc')
+                    if (nIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (wIsWall) and (not nwIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (270,361), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(-1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # SE quadrant
+                    if (not sIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (270,361), 'arc')
+                    if (sIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5+1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (eIsWall) and (not seIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (90,181), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*0.5, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+                    # SW quadrant
+                    if (not sIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize, wallColor, wallColor, (180,271), 'arc')
+                    if (sIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5)-1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (wIsWall) and (not swIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)), WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (0,91), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(1)*WALL_RADIUS)), add(screen, (self.gridSize*(-0.5), self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)), add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+    def isWall(self, x, y, walls):
+        if x < 0 or y < 0:
+            return False
+        if x >= walls.width or y >= walls.height:
+            return False
+        return walls[x][y]
+
+    def drawFood(self, foodMatrix ):
+        foodImages = []
+        color = FOOD_COLOR
+        for xNum, x in enumerate(foodMatrix):
+            if self.capture and (xNum * 2) <= foodMatrix.width: color = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) > foodMatrix.width: color = TEAM_COLORS[1]
+            imageRow = []
+            foodImages.append(imageRow)
+            for yNum, cell in enumerate(x):
+                if cell: # There's food here
+                    screen = self.to_screen((xNum, yNum ))
+                    dot = circle( screen,
+                                  FOOD_SIZE * self.gridSize,
+                                  outlineColor = color, fillColor = color,
+                                  width = 1)
+                    imageRow.append(dot)
+                else:
+                    imageRow.append(None)
+        return foodImages
+
+    def drawCapsules(self, capsules ):
+        capsuleImages = {}
+        for capsule in capsules:
+            ( screen_x, screen_y ) = self.to_screen(capsule)
+            dot = circle( (screen_x, screen_y),
+                              CAPSULE_SIZE * self.gridSize,
+                              outlineColor = CAPSULE_COLOR,
+                              fillColor = CAPSULE_COLOR,
+                              width = 1)
+            capsuleImages[capsule] = dot
+        return capsuleImages
+
+    def removeFood(self, cell, foodImages ):
+        x, y = cell
+        remove_from_screen(foodImages[x][y])
+
+    def removeCapsule(self, cell, capsuleImages ):
+        x, y = cell
+        remove_from_screen(capsuleImages[(x, y)])
+
+    def drawExpandedCells(self, cells):
+        """
+        Draws an overlay of expanded grid positions for search agents
+        """
+        n = float(len(cells))
+        baseColor = [1.0, 0.0, 0.0]
+        self.clearExpandedCells()
+        self.expandedCells = []
+        for k, cell in enumerate(cells):
+            screenPos = self.to_screen( cell)
+            cellColor = formatColor(*[(n-k) * c * .5 / n + .25 for c in baseColor])
+            block = square(screenPos,
+                     0.5 * self.gridSize,
+                     color = cellColor,
+                     filled = 1, behind=2)
+            self.expandedCells.append(block)
+            if self.frameTime < 0:
+                refresh()
+
+    def clearExpandedCells(self):
+        if 'expandedCells' in dir(self) and len(self.expandedCells) > 0:
+            for cell in self.expandedCells:
+                remove_from_screen(cell)
+
+
+    def updateDistributions(self, distributions):
+        "Draws an agent's belief distributions"
+        # copy all distributions so we don't change their state
+        distributions = map(lambda x: x.copy(), distributions)
+        if self.distributionImages == None:
+            self.drawDistributions(self.previousState)
+        for x in range(len(self.distributionImages)):
+            for y in range(len(self.distributionImages[0])):
+                image = self.distributionImages[x][y]
+                weights = [dist[ (x,y) ] for dist in distributions]
+
+                if sum(weights) != 0:
+                    pass
+                # Fog of war
+                color = [0.0,0.0,0.0]
+                colors = GHOST_VEC_COLORS[1:] # With Pacman
+                if self.capture: colors = GHOST_VEC_COLORS
+                for weight, gcolor in zip(weights, colors):
+                    color = [min(1.0, c + 0.95 * g * weight ** .3) for c,g in zip(color, gcolor)]
+                changeColor(image, formatColor(*color))
+        refresh()
+
+class FirstPersonPacmanGraphics(PacmanGraphics):
+    def __init__(self, zoom = 1.0, showGhosts = True, capture = False, frameTime=0):
+        PacmanGraphics.__init__(self, zoom, frameTime=frameTime)
+        self.showGhosts = showGhosts
+        self.capture = capture
+
+    def initialize(self, state, isBlue = False):
+
+        self.isBlue = isBlue
+        PacmanGraphics.startGraphics(self, state)
+        # Initialize distribution images
+        walls = state.layout.walls
+        dist = []
+        self.layout = state.layout
+
+        # Draw the rest
+        self.distributionImages = None  # initialize lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def lookAhead(self, config, state):
+        if config.getDirection() == 'Stop':
+            return
+        else:
+            pass
+            # Draw relevant ghosts
+            allGhosts = state.getGhostStates()
+            visibleGhosts = state.getVisibleGhosts()
+            for i, ghost in enumerate(allGhosts):
+                if ghost in visibleGhosts:
+                    self.drawGhost(ghost, i)
+                else:
+                    self.currentGhostImages[i] = None
+
+    def getGhostColor(self, ghost, ghostIndex):
+        return GHOST_COLORS[ghostIndex]
+
+    def getPosition(self, ghostState):
+        if not self.showGhosts and not ghostState.isPacman and ghostState.getPosition()[1] > 1:
+            return (-1000, -1000)
+        else:
+            return PacmanGraphics.getPosition(self, ghostState)
+
+def add(x, y):
+    return (x[0] + y[0], x[1] + y[1])
+
+
+# Saving graphical output
+# -----------------------
+# Note: to make an animated gif from this postscript output, try the command:
+# convert -delay 7 -loop 1 -compress lzw -layers optimize frame* out.gif
+# convert is part of imagemagick (freeware)
+
+SAVE_POSTSCRIPT = False
+POSTSCRIPT_OUTPUT_DIR = 'frames'
+FRAME_NUMBER = 0
+import os
+
+def saveFrame():
+    "Saves the current graphical output as a postscript file"
+    global SAVE_POSTSCRIPT, FRAME_NUMBER, POSTSCRIPT_OUTPUT_DIR
+    if not SAVE_POSTSCRIPT: return
+    if not os.path.exists(POSTSCRIPT_OUTPUT_DIR): os.mkdir(POSTSCRIPT_OUTPUT_DIR)
+    name = os.path.join(POSTSCRIPT_OUTPUT_DIR, 'frame_%08d.ps' % FRAME_NUMBER)
+    FRAME_NUMBER += 1
+    writePostscript(name) # writes the current canvas
diff --git a/cs188-projects-master/P6 Classification/graphicsDisplay.pyc b/cs188-projects-master/P6 Classification/graphicsDisplay.pyc
new file mode 100644
index 0000000..d1fcc17
Binary files /dev/null and b/cs188-projects-master/P6 Classification/graphicsDisplay.pyc differ
diff --git a/cs188-projects-master/P6 Classification/graphicsUtils.py b/cs188-projects-master/P6 Classification/graphicsUtils.py
new file mode 100644
index 0000000..b80d3d2
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/graphicsUtils.py	
@@ -0,0 +1,402 @@
+# graphicsUtils.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import math
+import random
+import string
+import time
+import types
+import Tkinter
+import os.path
+
+_Windows = sys.platform == 'win32'  # True if on Win95/98/NT
+
+_root_window = None      # The root window for graphics output
+_canvas = None      # The canvas which holds graphics
+_canvas_xs = None      # Size of canvas object
+_canvas_ys = None
+_canvas_x = None      # Current position on canvas
+_canvas_y = None
+_canvas_col = None      # Current colour (set to black below)
+_canvas_tsize = 12
+_canvas_tserifs = 0
+
+def formatColor(r, g, b):
+    return '#%02x%02x%02x' % (int(r * 255), int(g * 255), int(b * 255))
+
+def colorToVector(color):
+    return map(lambda x: int(x, 16) / 256.0, [color[1:3], color[3:5], color[5:7]])
+
+if _Windows:
+    _canvas_tfonts = ['times new roman', 'lucida console']
+else:
+    _canvas_tfonts = ['times', 'lucidasans-24']
+    pass # XXX need defaults here
+
+def sleep(secs):
+    global _root_window
+    if _root_window == None:
+        time.sleep(secs)
+    else:
+        _root_window.update_idletasks()
+        _root_window.after(int(1000 * secs), _root_window.quit)
+        _root_window.mainloop()
+
+def begin_graphics(width=640, height=480, color=formatColor(0, 0, 0), title=None):
+
+    global _root_window, _canvas, _canvas_x, _canvas_y, _canvas_xs, _canvas_ys, _bg_color
+
+    # Check for duplicate call
+    if _root_window is not None:
+        # Lose the window.
+        _root_window.destroy()
+
+    # Save the canvas size parameters
+    _canvas_xs, _canvas_ys = width - 1, height - 1
+    _canvas_x, _canvas_y = 0, _canvas_ys
+    _bg_color = color
+
+    # Create the root window
+    _root_window = Tkinter.Tk()
+    _root_window.protocol('WM_DELETE_WINDOW', _destroy_window)
+    _root_window.title(title or 'Graphics Window')
+    _root_window.resizable(0, 0)
+
+    # Create the canvas object
+    try:
+        _canvas = Tkinter.Canvas(_root_window, width=width, height=height)
+        _canvas.pack()
+        draw_background()
+        _canvas.update()
+    except:
+        _root_window = None
+        raise
+
+    # Bind to key-down and key-up events
+    _root_window.bind( "", _keypress )
+    _root_window.bind( "", _keyrelease )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _clear_keys )
+    _root_window.bind( "", _leftclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _rightclick )
+    _root_window.bind( "", _ctrl_leftclick)
+    _clear_keys()
+
+_leftclick_loc = None
+_rightclick_loc = None
+_ctrl_leftclick_loc = None
+
+def _leftclick(event):
+    global _leftclick_loc
+    _leftclick_loc = (event.x, event.y)
+
+def _rightclick(event):
+    global _rightclick_loc
+    _rightclick_loc = (event.x, event.y)
+
+def _ctrl_leftclick(event):
+    global _ctrl_leftclick_loc
+    _ctrl_leftclick_loc = (event.x, event.y)
+
+def wait_for_click():
+    while True:
+        global _leftclick_loc
+        global _rightclick_loc
+        global _ctrl_leftclick_loc
+        if _leftclick_loc != None:
+            val = _leftclick_loc
+            _leftclick_loc = None
+            return val, 'left'
+        if _rightclick_loc != None:
+            val = _rightclick_loc
+            _rightclick_loc = None
+            return val, 'right'
+        if _ctrl_leftclick_loc != None:
+            val = _ctrl_leftclick_loc
+            _ctrl_leftclick_loc = None
+            return val, 'ctrl_left'
+        sleep(0.05)
+
+def draw_background():
+    corners = [(0,0), (0, _canvas_ys), (_canvas_xs, _canvas_ys), (_canvas_xs, 0)]
+    polygon(corners, _bg_color, fillColor=_bg_color, filled=True, smoothed=False)
+
+def _destroy_window(event=None):
+    sys.exit(0)
+#    global _root_window
+#    _root_window.destroy()
+#    _root_window = None
+    #print "DESTROY"
+
+def end_graphics():
+    global _root_window, _canvas, _mouse_enabled
+    try:
+        try:
+            sleep(1)
+            if _root_window != None:
+                _root_window.destroy()
+        except SystemExit, e:
+            print 'Ending graphics raised an exception:', e
+    finally:
+        _root_window = None
+        _canvas = None
+        _mouse_enabled = 0
+        _clear_keys()
+
+def clear_screen(background=None):
+    global _canvas_x, _canvas_y
+    _canvas.delete('all')
+    draw_background()
+    _canvas_x, _canvas_y = 0, _canvas_ys
+
+def polygon(coords, outlineColor, fillColor=None, filled=1, smoothed=1, behind=0, width=1):
+    c = []
+    for coord in coords:
+        c.append(coord[0])
+        c.append(coord[1])
+    if fillColor == None: fillColor = outlineColor
+    if filled == 0: fillColor = ""
+    poly = _canvas.create_polygon(c, outline=outlineColor, fill=fillColor, smooth=smoothed, width=width)
+    if behind > 0:
+        _canvas.tag_lower(poly, behind) # Higher should be more visible
+    return poly
+
+def square(pos, r, color, filled=1, behind=0):
+    x, y = pos
+    coords = [(x - r, y - r), (x + r, y - r), (x + r, y + r), (x - r, y + r)]
+    return polygon(coords, color, color, filled, 0, behind=behind)
+
+def circle(pos, r, outlineColor, fillColor, endpoints=None, style='pieslice', width=2):
+    x, y = pos
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    return _canvas.create_arc(x0, y0, x1, y1, outline=outlineColor, fill=fillColor,
+                              extent=e[1] - e[0], start=e[0], style=style, width=width)
+
+def image(pos, file="../../blueghost.gif"):
+    x, y = pos
+    # img = PhotoImage(file=file)
+    return _canvas.create_image(x, y, image = Tkinter.PhotoImage(file=file), anchor = Tkinter.NW)
+
+
+def refresh():
+    _canvas.update_idletasks()
+
+def moveCircle(id, pos, r, endpoints=None):
+    global _canvas_x, _canvas_y
+
+    x, y = pos
+#    x0, x1 = x - r, x + r + 1
+#    y0, y1 = y - r, y + r + 1
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]: e[1] = e[1] + 360
+
+    if os.path.isfile('flag'):
+        edit(id, ('extent', e[1] - e[0]))
+    else:
+        edit(id, ('start', e[0]), ('extent', e[1] - e[0]))
+    move_to(id, x0, y0)
+
+def edit(id, *args):
+    _canvas.itemconfigure(id, **dict(args))
+
+def text(pos, color, contents, font='Helvetica', size=12, style='normal', anchor="nw"):
+    global _canvas_x, _canvas_y
+    x, y = pos
+    font = (font, str(size), style)
+    return _canvas.create_text(x, y, fill=color, text=contents, font=font, anchor=anchor)
+
+def changeText(id, newText, font=None, size=12, style='normal'):
+    _canvas.itemconfigure(id, text=newText)
+    if font != None:
+        _canvas.itemconfigure(id, font=(font, '-%d' % size, style))
+
+def changeColor(id, newColor):
+    _canvas.itemconfigure(id, fill=newColor)
+
+def line(here, there, color=formatColor(0, 0, 0), width=2):
+    x0, y0 = here[0], here[1]
+    x1, y1 = there[0], there[1]
+    return _canvas.create_line(x0, y0, x1, y1, fill=color, width=width)
+
+##############################################################################
+### Keypress handling ########################################################
+##############################################################################
+
+# We bind to key-down and key-up events.
+
+_keysdown = {}
+_keyswaiting = {}
+# This holds an unprocessed key release.  We delay key releases by up to
+# one call to keys_pressed() to get round a problem with auto repeat.
+_got_release = None
+
+def _keypress(event):
+    global _got_release
+    #remap_arrows(event)
+    _keysdown[event.keysym] = 1
+    _keyswaiting[event.keysym] = 1
+#    print event.char, event.keycode
+    _got_release = None
+
+def _keyrelease(event):
+    global _got_release
+    #remap_arrows(event)
+    try:
+        del _keysdown[event.keysym]
+    except:
+        pass
+    _got_release = 1
+
+def remap_arrows(event):
+    # TURN ARROW PRESSES INTO LETTERS (SHOULD BE IN KEYBOARD AGENT)
+    if event.char in ['a', 's', 'd', 'w']:
+        return
+    if event.keycode in [37, 101]: # LEFT ARROW (win / x)
+        event.char = 'a'
+    if event.keycode in [38, 99]: # UP ARROW
+        event.char = 'w'
+    if event.keycode in [39, 102]: # RIGHT ARROW
+        event.char = 'd'
+    if event.keycode in [40, 104]: # DOWN ARROW
+        event.char = 's'
+
+def _clear_keys(event=None):
+    global _keysdown, _got_release, _keyswaiting
+    _keysdown = {}
+    _keyswaiting = {}
+    _got_release = None
+
+def keys_pressed(d_o_e=Tkinter.tkinter.dooneevent,
+                 d_w=Tkinter.tkinter.DONT_WAIT):
+    d_o_e(d_w)
+    if _got_release:
+        d_o_e(d_w)
+    return _keysdown.keys()
+
+def keys_waiting():
+    global _keyswaiting
+    keys = _keyswaiting.keys()
+    _keyswaiting = {}
+    return keys
+
+# Block for a list of keys...
+
+def wait_for_keys():
+    keys = []
+    while keys == []:
+        keys = keys_pressed()
+        sleep(0.05)
+    return keys
+
+def remove_from_screen(x,
+                       d_o_e=Tkinter.tkinter.dooneevent,
+                       d_w=Tkinter.tkinter.DONT_WAIT):
+    _canvas.delete(x)
+    d_o_e(d_w)
+
+def _adjust_coords(coord_list, x, y):
+    for i in range(0, len(coord_list), 2):
+        coord_list[i] = coord_list[i] + x
+        coord_list[i + 1] = coord_list[i + 1] + y
+    return coord_list
+
+def move_to(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT):
+    if y is None:
+        try: x, y = x
+        except: raise  'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    current_x, current_y = _canvas.coords(object)[0:2] # first point
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x - current_x
+        else:
+            inc = y - current_y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+
+def move_by(object, x, y=None,
+            d_o_e=Tkinter.tkinter.dooneevent,
+            d_w=Tkinter.tkinter.DONT_WAIT, lift=False):
+    if y is None:
+        try: x, y = x
+        except: raise Exception, 'incomprehensible coordinates'
+
+    horiz = True
+    newCoords = []
+    for coord in  _canvas.coords(object):
+        if horiz:
+            inc = x
+        else:
+            inc = y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+    if lift:
+        _canvas.tag_raise(object)
+
+def writePostscript(filename):
+    "Writes the current canvas to a postscript file."
+    psfile = file(filename, 'w')
+    psfile.write(_canvas.postscript(pageanchor='sw',
+                     y='0.c',
+                     x='0.c'))
+    psfile.close()
+
+ghost_shape = [
+    (0, - 0.5),
+    (0.25, - 0.75),
+    (0.5, - 0.5),
+    (0.75, - 0.75),
+    (0.75, 0.5),
+    (0.5, 0.75),
+    (- 0.5, 0.75),
+    (- 0.75, 0.5),
+    (- 0.75, - 0.75),
+    (- 0.5, - 0.5),
+    (- 0.25, - 0.75)
+  ]
+
+if __name__ == '__main__':
+    begin_graphics()
+    clear_screen()
+    ghost_shape = [(x * 10 + 20, y * 10 + 20) for x, y in ghost_shape]
+    g = polygon(ghost_shape, formatColor(1, 1, 1))
+    move_to(g, (50, 50))
+    circle((150, 150), 20, formatColor(0.7, 0.3, 0.0), endpoints=[15, - 15])
+    sleep(2)
diff --git a/cs188-projects-master/P6 Classification/graphicsUtils.pyc b/cs188-projects-master/P6 Classification/graphicsUtils.pyc
new file mode 100644
index 0000000..749bd78
Binary files /dev/null and b/cs188-projects-master/P6 Classification/graphicsUtils.pyc differ
diff --git a/cs188-projects-master/P6 Classification/images/img2.gif b/cs188-projects-master/P6 Classification/images/img2.gif
new file mode 100644
index 0000000..3453019
Binary files /dev/null and b/cs188-projects-master/P6 Classification/images/img2.gif differ
diff --git a/cs188-projects-master/P6 Classification/keyboardAgents.py b/cs188-projects-master/P6 Classification/keyboardAgents.py
new file mode 100644
index 0000000..c7d9fcf
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/keyboardAgents.py	
@@ -0,0 +1,84 @@
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+import random
+
+class KeyboardAgent(Agent):
+    """
+    An agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'a'
+    EAST_KEY  = 'd'
+    NORTH_KEY = 'w'
+    SOUTH_KEY = 's'
+    STOP_KEY = 'q'
+
+    def __init__( self, index = 0 ):
+
+        self.lastMove = Directions.STOP
+        self.index = index
+        self.keys = []
+
+    def getAction( self, state):
+        from graphicsUtils import keys_waiting
+        from graphicsUtils import keys_pressed
+        keys = keys_waiting() + keys_pressed()
+        if keys != []:
+            self.keys = keys
+
+        legal = state.getLegalActions(self.index)
+        move = self.getMove(legal)
+
+        if move == Directions.STOP:
+            # Try to move in the same direction as before
+            if self.lastMove in legal:
+                move = self.lastMove
+
+        if (self.STOP_KEY in self.keys) and Directions.STOP in legal: move = Directions.STOP
+
+        if move not in legal:
+            move = random.choice(legal)
+
+        self.lastMove = move
+        return move
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys or 'Left' in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys or 'Right' in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys or 'Up' in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys or 'Down' in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
+
+class KeyboardAgent2(KeyboardAgent):
+    """
+    A second agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY  = 'j'
+    EAST_KEY  = "l"
+    NORTH_KEY = 'i'
+    SOUTH_KEY = 'k'
+    STOP_KEY = 'u'
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if   (self.WEST_KEY in self.keys) and Directions.WEST in legal:  move = Directions.WEST
+        if   (self.EAST_KEY in self.keys) and Directions.EAST in legal: move = Directions.EAST
+        if   (self.NORTH_KEY in self.keys) and Directions.NORTH in legal:   move = Directions.NORTH
+        if   (self.SOUTH_KEY in self.keys) and Directions.SOUTH in legal: move = Directions.SOUTH
+        return move
diff --git a/cs188-projects-master/P6 Classification/layout.py b/cs188-projects-master/P6 Classification/layout.py
new file mode 100644
index 0000000..c6b377d
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layout.py	
@@ -0,0 +1,149 @@
+# layout.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Grid
+import os
+import random
+
+VISIBILITY_MATRIX_CACHE = {}
+
+class Layout:
+    """
+    A Layout manages the static information about the game board.
+    """
+
+    def __init__(self, layoutText):
+        self.width = len(layoutText[0])
+        self.height= len(layoutText)
+        self.walls = Grid(self.width, self.height, False)
+        self.food = Grid(self.width, self.height, False)
+        self.capsules = []
+        self.agentPositions = []
+        self.numGhosts = 0
+        self.processLayoutText(layoutText)
+        self.layoutText = layoutText
+        self.totalFood = len(self.food.asList())
+        # self.initializeVisibilityMatrix()
+
+    def getNumGhosts(self):
+        return self.numGhosts
+
+    def initializeVisibilityMatrix(self):
+        global VISIBILITY_MATRIX_CACHE
+        if reduce(str.__add__, self.layoutText) not in VISIBILITY_MATRIX_CACHE:
+            from game import Directions
+            vecs = [(-0.5,0), (0.5,0),(0,-0.5),(0,0.5)]
+            dirs = [Directions.NORTH, Directions.SOUTH, Directions.WEST, Directions.EAST]
+            vis = Grid(self.width, self.height, {Directions.NORTH:set(), Directions.SOUTH:set(), Directions.EAST:set(), Directions.WEST:set(), Directions.STOP:set()})
+            for x in range(self.width):
+                for y in range(self.height):
+                    if self.walls[x][y] == False:
+                        for vec, direction in zip(vecs, dirs):
+                            dx, dy = vec
+                            nextx, nexty = x + dx, y + dy
+                            while (nextx + nexty) != int(nextx) + int(nexty) or not self.walls[int(nextx)][int(nexty)] :
+                                vis[x][y][direction].add((nextx, nexty))
+                                nextx, nexty = x + dx, y + dy
+            self.visibility = vis
+            VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)] = vis
+        else:
+            self.visibility = VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)]
+
+    def isWall(self, pos):
+        x, col = pos
+        return self.walls[x][col]
+
+    def getRandomLegalPosition(self):
+        x = random.choice(range(self.width))
+        y = random.choice(range(self.height))
+        while self.isWall( (x, y) ):
+            x = random.choice(range(self.width))
+            y = random.choice(range(self.height))
+        return (x,y)
+
+    def getRandomCorner(self):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        return random.choice(poses)
+
+    def getFurthestCorner(self, pacPos):
+        poses = [(1,1), (1, self.height - 2), (self.width - 2, 1), (self.width - 2, self.height - 2)]
+        dist, pos = max([(manhattanDistance(p, pacPos), p) for p in poses])
+        return pos
+
+    def isVisibleFrom(self, ghostPos, pacPos, pacDirection):
+        row, col = [int(x) for x in pacPos]
+        return ghostPos in self.visibility[row][col][pacDirection]
+
+    def __str__(self):
+        return "\n".join(self.layoutText)
+
+    def deepCopy(self):
+        return Layout(self.layoutText[:])
+
+    def processLayoutText(self, layoutText):
+        """
+        Coordinates are flipped from the input format to the (x,y) convention here
+
+        The shape of the maze.  Each character
+        represents a different type of object.
+         % - Wall
+         . - Food
+         o - Capsule
+         G - Ghost
+         P - Pacman
+        Other characters are ignored.
+        """
+        maxY = self.height - 1
+        for y in range(self.height):
+            for x in range(self.width):
+                layoutChar = layoutText[maxY - y][x]
+                self.processLayoutChar(x, y, layoutChar)
+        self.agentPositions.sort()
+        self.agentPositions = [ ( i == 0, pos) for i, pos in self.agentPositions]
+
+    def processLayoutChar(self, x, y, layoutChar):
+        if layoutChar == '%':
+            self.walls[x][y] = True
+        elif layoutChar == '.':
+            self.food[x][y] = True
+        elif layoutChar == 'o':
+            self.capsules.append((x, y))
+        elif layoutChar == 'P':
+            self.agentPositions.append( (0, (x, y) ) )
+        elif layoutChar in ['G']:
+            self.agentPositions.append( (1, (x, y) ) )
+            self.numGhosts += 1
+        elif layoutChar in  ['1', '2', '3', '4']:
+            self.agentPositions.append( (int(layoutChar), (x,y)))
+            self.numGhosts += 1
+def getLayout(name, back = 2):
+    if name.endswith('.lay'):
+        layout = tryToLoad('layouts/' + name)
+        if layout == None: layout = tryToLoad(name)
+    else:
+        layout = tryToLoad('layouts/' + name + '.lay')
+        if layout == None: layout = tryToLoad(name + '.lay')
+    if layout == None and back >= 0:
+        curdir = os.path.abspath('.')
+        os.chdir('..')
+        layout = getLayout(name, back -1)
+        os.chdir(curdir)
+    return layout
+
+def tryToLoad(fullname):
+    if(not os.path.exists(fullname)): return None
+    f = open(fullname)
+    try: return Layout([line.strip() for line in f])
+    finally: f.close()
diff --git a/cs188-projects-master/P6 Classification/layout.pyc b/cs188-projects-master/P6 Classification/layout.pyc
new file mode 100644
index 0000000..b2ee4e0
Binary files /dev/null and b/cs188-projects-master/P6 Classification/layout.pyc differ
diff --git a/cs188-projects-master/P6 Classification/layouts/capsuleClassic.lay b/cs188-projects-master/P6 Classification/layouts/capsuleClassic.lay
new file mode 100644
index 0000000..06a5c51
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/capsuleClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%
+%G.       G   ....%
+%.% % %%%%%% %.%%.%
+%.%o% %   o% %.o%.%
+%.%%%.%  %%% %..%.%
+%.....  P    %..%G%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/contestClassic.lay b/cs188-projects-master/P6 Classification/layouts/contestClassic.lay
new file mode 100644
index 0000000..84c8733
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/contestClassic.lay	
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%...... G GG%......%
+%.%.%%.%% %%%.%%.%.%
+%.%....% ooo%.%..%.%
+%.%.%%.% %% %.%.%%.%
+%o%......P....%....%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/mediumClassic.lay b/cs188-projects-master/P6 Classification/layouts/mediumClassic.lay
new file mode 100644
index 0000000..33c5db8
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/mediumClassic.lay	
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%....%
+%.%%.%.%%%%%%.%.%%.%
+%.%..............%.%
+%.%.%%.%%  %%.%%.%.%
+%......%G  G%......%
+%.%.%%.%%%%%%.%%.%.%
+%.%..............%.%
+%.%%.%.%%%%%%.%.%%.%
+%....%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/mediumGrid.lay b/cs188-projects-master/P6 Classification/layouts/mediumGrid.lay
new file mode 100644
index 0000000..52b2707
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/mediumGrid.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%
+%P     %
+% .% . %
+%  %   %
+% .% . %
+%     G%
+%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/minimaxClassic.lay b/cs188-projects-master/P6 Classification/layouts/minimaxClassic.lay
new file mode 100644
index 0000000..a547397
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/minimaxClassic.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%%
+%.P    G% 
+% %.%G%%%  
+%G    %%% 
+%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/openClassic.lay b/cs188-projects-master/P6 Classification/layouts/openClassic.lay
new file mode 100644
index 0000000..6760b42
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/openClassic.lay	
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%
+%.. P  ....      ....   %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      .... G %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      ....  o%
+%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/originalClassic.lay b/cs188-projects-master/P6 Classification/layouts/originalClassic.lay
new file mode 100644
index 0000000..b2770c5
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/originalClassic.lay	
@@ -0,0 +1,27 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o%%%%.%%%%%.%%.%%%%%.%%%%o%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%..........................%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%......%%....%%....%%......%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%  %%%% %.%%%%%%
+%     .  %G  GG  G%  .     %
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o..%%.......  .......%%..o%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%......%%....%%....%%......%
+%.%%%%%%%%%%.%%.%%%%%%%%%%.%
+%.............P............%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/powerClassic.lay b/cs188-projects-master/P6 Classification/layouts/powerClassic.lay
new file mode 100644
index 0000000..3f3d983
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/powerClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%o....o%GGGG%o....o%
+%..%...%%  %%...%..%
+%.%o.%........%.o%.%
+%.o%.%.%%%%%%.%.%o.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/smallClassic.lay b/cs188-projects-master/P6 Classification/layouts/smallClassic.lay
new file mode 100644
index 0000000..ce6c1d9
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/smallClassic.lay	
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/smallGrid.lay b/cs188-projects-master/P6 Classification/layouts/smallGrid.lay
new file mode 100644
index 0000000..4bbe2b6
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/smallGrid.lay	
@@ -0,0 +1,7 @@
+%%%%%%%
+% P   %
+% %%% %
+% %.  %
+% %%% %
+%. G  %
+%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/testClassic.lay b/cs188-projects-master/P6 Classification/layouts/testClassic.lay
new file mode 100644
index 0000000..4b3ffca
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/testClassic.lay	
@@ -0,0 +1,10 @@
+%%%%%
+% . %
+%.G.%
+% . %
+%. .%
+%   %
+%  .%
+%   %
+%P .%
+%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/trappedClassic.lay b/cs188-projects-master/P6 Classification/layouts/trappedClassic.lay
new file mode 100644
index 0000000..289557f
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/layouts/trappedClassic.lay	
@@ -0,0 +1,5 @@
+%%%%%%%%
+%   P G%
+%G%%%%%%
+%....  %
+%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/layouts/trickyClassic.lay b/cs188-projects-master/P6 Classification/layouts/trickyClassic.lay
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+++ b/cs188-projects-master/P6 Classification/layouts/trickyClassic.lay	
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+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%.%.....%..%.....%.%
+%.%.%%.%%  %%.%%.%.%
+%...... GGGG%.%....%
+%.%....%%%%%%.%..%.%
+%.%....%  oo%.%..%.%
+%.%....% %%%%.%..%.%
+%.%...........%..%.%
+%.%%.%.%%%%%%.%.%%.%
+%o...%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/cs188-projects-master/P6 Classification/models.py b/cs188-projects-master/P6 Classification/models.py
new file mode 100644
index 0000000..1282a7c
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/models.py	
@@ -0,0 +1,325 @@
+# models.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from collections import OrderedDict
+import numpy as np
+import tensorflow as tf
+import tensorflow_util as tfu
+import util
+
+_SEED = 66478  # Set to None for random seed.
+_RANDOM = None
+
+def get_fixed_random():
+    global _RANDOM
+    if _RANDOM is None:
+        _RANDOM = util.FixedRandom()
+    return _RANDOM
+
+def truncated_normal(shape, mean=0.0, stddev=1.0, dtype=np.float32, fixed_random=None):
+    """
+    Outputs random values from a truncated normal distribution.
+
+    The generated values follow a normal distribution with specified mean and
+    standard deviation, except that values whose magnitude is more than 2
+    standard deviations from the mean are dropped and re-picked.
+    """
+    if fixed_random is None:
+        fixed_random = get_fixed_random()
+    value = np.empty(shape, dtype=dtype)
+    for v in np.nditer(value, op_flags=['readwrite']):
+        new_v = None
+        while new_v is None or abs(new_v - mean) > 2 * abs(stddev):
+            new_v = fixed_random.random.normalvariate(mean, stddev)
+        v[...] = new_v
+    return value
+
+
+class Model(object):
+    def __init__(self, input_ph=None, prediction_tensor=None, max_eval_batch_size=500):
+        self.input_ph = input_ph
+        self.prediction_tensor = prediction_tensor
+        self._param_vars = OrderedDict()
+        self._fixed_random = util.FixedRandom()  # deterministically initialize weights
+        self._max_eval_batch_size = max_eval_batch_size
+
+    @property
+    def input_shape(self):
+        input_shape = tuple(self.input_ph.get_shape().as_list()[1:])  # discard leading dimension (batch size)
+        if None in input_shape:
+            raise ValueError("the shape of the input_phs should be defined with the except of the leading dimension")
+        return input_shape
+
+    def add_param_var(self, param_var, name=None, **tags):
+        if not isinstance(param_var, tf.Variable):
+            param_var = tf.Variable(param_var, name=name)
+        # parameters are trainable and regularizable by default
+        tags['trainable'] = tags.get('trainable', True)
+        tags['regularizable'] = tags.get('regularizable', True)
+        self._param_vars[param_var] = set(tag for tag, value in tags.items() if value)
+        return param_var
+
+    def get_param_vars(self, **tags):
+        """
+        Modified from here: https://github.com/Lasagne/Lasagne/blob/master/lasagne/layers/base.py
+        """
+        result = list(self._param_vars.keys())
+
+        only = set(tag for tag, value in tags.items() if value)
+        if only:
+            # retain all parameters that have all of the tags in `only`
+            result = [param_var for param_var in result
+                      if not (only - self._param_vars[param_var])]
+
+        exclude = set(tag for tag, value in tags.items() if not value)
+        if exclude:
+            # retain all parameters that have none of the tags in `exclude`
+            result = [param_var for param_var in result
+                      if not (self._param_vars[param_var] & exclude)]
+        return result
+
+    def get_param_values(self, **tags):
+        param_vars = self.get_param_vars(**tags)
+        return [param_var.eval(session=tfu.get_session()) for param_var in param_vars]
+
+    def set_param_values(self, param_values, **tags):
+        param_vars = self.get_param_vars(**tags)
+        if len(param_values) != len(param_vars):
+            raise ValueError('there are %d parameter variables with the given tags'
+                             'but %d parameter values were given' % (len(param_vars), len(param_values)))
+        tfu.get_session().run([tf.assign(param_var, param_value) for (param_var, param_value) in zip(param_vars, param_values)])
+
+    def get_batch_size(self, input_):
+        if input_.shape == self.input_shape:  # input data is not batched
+            batch_size = 0
+        elif input_.shape[1:] == self.input_shape:
+            batch_size = input_.shape[0]
+        else:
+            raise ValueError('expecting input of shape %r or %r but got input of shape %r' %
+                             (self.input_shape, (None,) + self.input_shape, input_.shape))
+        return batch_size
+
+    def predict(self, input_):
+        batch_size = self.get_batch_size(input_)
+        if batch_size == 0:
+            input_ = input_[None, :]
+        # do the computation in smaller chunks because some GPUs don't have too much memory
+        # the following block of code is equivalent to this line
+        # prediction = self.prediction_tensor.eval(session=tfu.get_session(), feed_dict=dict([(self.input_ph, input_)]))
+        predictions = []
+        for i in range(0, batch_size, self._max_eval_batch_size):
+            excerpt = slice(i, min(i+self._max_eval_batch_size, batch_size))
+            prediction = self.prediction_tensor.eval(session=tfu.get_session(),
+                                                     feed_dict=dict([(self.input_ph, input_[excerpt])]))
+            predictions.append(prediction)
+        prediction = np.concatenate(predictions, axis=0)
+        if batch_size == 0:
+            prediction = np.squeeze(prediction, axis=0)
+        return prediction
+
+
+class LinearRegressionModel(Model):
+    def __init__(self, num_features=784, num_labels=10):
+        super(LinearRegressionModel, self).__init__()
+        # input and target placeholder variables
+        self.x = tf.placeholder(tf.float32, shape=(None, num_features))
+        self.input_ph = self.x
+
+        # parameter variables
+        self.W = self.add_param_var(truncated_normal([num_features, num_labels], stddev=0.1, fixed_random=self._fixed_random), name='W')
+        self.b = self.add_param_var(tf.constant(0.1, shape=[num_labels]), name='b', regularizable=False)
+
+        # prediction tensor
+        self.y = tf.matmul(self.x, self.W) + self.b
+        self.prediction_tensor = self.y
+
+        # initialize parameters
+        tfu.get_session().run([param_var.initializer for param_var in self.get_param_vars()])
+
+
+class ClassifierModel(Model):
+    def classify(self, input_datum_or_data):
+        """
+        Classifies a datum or each datum in a list of data.
+
+        Args:
+            input_datum_or_data: a 1-dimensional np.array of a single datum or
+                a 2-dimensional np.array of data where each row is a datum.
+
+        Returns:
+            An integer (representing a label) if a single datum is passed in, or
+                a list of integers (representing the labels) if multiple data
+                is passed in.
+        """
+        prediction = self.predict(input_datum_or_data)
+        category = np.argmax(prediction, axis=-1)
+        return category
+
+    def accuracy(self, input_data, target_data):
+        """
+        Computes the accuracy of the model classification predictions.
+
+        Args:
+            input_data: a 2-dimensional np.array of input data where each row is
+                a datum.
+            target_data: a 2-dimensional np.array of correct labels where each
+                row is a probability distribution over the labels (or
+                alternatively, a one-hot vector representation of the label).
+
+        Returns:
+            A float, the accuracy of the model for the given data.
+        """
+        category_labels = np.argmax(target_data, axis=-1)
+        correct_prediction = self.classify(input_data) == category_labels
+        accuracy = correct_prediction.mean()
+        return accuracy
+
+
+class SoftmaxRegressionModel(ClassifierModel):
+    def __init__(self, num_features=784, num_labels=10):
+        super(SoftmaxRegressionModel, self).__init__()
+        # input and target placeholder variables
+        self.x = tf.placeholder(tf.float32, shape=(None, num_features))
+        self.input_ph = self.x
+
+        # parameter variables
+        self.W = self.add_param_var(truncated_normal([num_features, num_labels], stddev=0.1, fixed_random=self._fixed_random), name='W')
+        self.b = self.add_param_var(tf.constant(0.1, shape=[num_labels]), name='b', regularizable=False)
+
+        # prediction tensor
+        self.y = tf.nn.softmax(tf.matmul(self.x, self.W) + self.b)
+        self.prediction_tensor = self.y
+
+        # initialize parameters
+        tfu.get_session().run([param_var.initializer for param_var in self.get_param_vars()])
+
+
+
+class ConvNetModel(ClassifierModel):
+    def __init__(self, use_batchnorm=False, use_dropout=False, x_shape=(None, 28, 28, 1), num_labels=10):
+        super(ConvNetModel, self).__init__()
+        _, image_size, _, num_channels = x_shape
+        assert x_shape[2] == image_size
+        self.x = tf.placeholder(tf.float32, shape=x_shape)
+        self.input_ph = self.x
+        is_train = True
+        init_symmetry = False
+        var_eps = 1e-20
+        use_global_bn = True
+        if use_global_bn:
+            bn_axes = [0,1,2]
+        else:
+            bn_axes = [0]
+
+        if init_symmetry:
+            conv1_weights = tf.Variable(
+                tf.zeros([5, 5, num_channels, 32]))  # 5x5 filter, depth 32.
+            conv1_biases = tf.Variable(tf.zeros([32]))
+            conv2_weights = tf.Variable(
+               tf.zeros([5, 5, 32, 64]))
+            conv2_biases = tf.Variable(tf.zeros([64]))
+            fc1_weights = tf.Variable(  # fully connected, depth 512.
+                tf.constant(0.1,
+                      shape = [image_size // 4 * image_size // 4 * 64, 512],
+                      ))
+            fc1_biases = tf.Variable(tf.constant(0.1, shape=[512]))
+            fc2_weights = tf.Variable(
+                tf.constant(0.1,shape=[512, num_labels],
+                                  ))
+            fc2_biases = tf.Variable(tf.constant(0.1, shape=[num_labels]))
+        else:
+            conv1_weights = tf.Variable(
+                truncated_normal([5, 5, num_channels, 32],  # 5x5 filter, depth 32.
+                                      stddev=0.1, fixed_random=self._fixed_random))
+            conv1_biases = tf.Variable(tf.zeros([32]))
+            conv2_weights = tf.Variable(
+               truncated_normal([5, 5, 32, 64],
+                                  stddev=0.1, fixed_random=self._fixed_random))
+            conv2_biases = tf.Variable(tf.constant(0., shape=[64]))
+            fc1_weights = tf.Variable(  # fully connected, depth 512.
+                truncated_normal(
+                      [image_size // 4 * image_size // 4 * 64, 512],
+                      stddev=0.1, fixed_random=self._fixed_random))
+            fc1_biases = tf.Variable(tf.constant(0., shape=[512]))
+            fc2_weights = tf.Variable(
+                truncated_normal([512, num_labels],
+                                  stddev=0.1, fixed_random=self._fixed_random))
+            fc2_biases = tf.Variable(tf.constant(0., shape=[num_labels]))
+
+
+        # Add parameter variables for solvers
+        self.conv1_weights = self.add_param_var(conv1_weights)
+        self.conv1_biases = self.add_param_var(conv1_biases)
+        self.conv2_weights = self.add_param_var(conv2_weights)
+        self.conv2_biases = self.add_param_var(conv2_biases)
+        self.fc1_weights = self.add_param_var(fc1_weights)
+        self.fc1_biases = self.add_param_var(fc1_biases)
+        self.fc2_weights = self.add_param_var(fc2_weights)
+        self.fc2_biases = self.add_param_var(fc2_biases)
+
+        #Run Inference
+        conv = tf.nn.conv2d(self.x,
+                        conv1_weights,
+                        strides=[1, 1, 1, 1],
+                        padding='SAME')
+
+        conv = tf.nn.bias_add(conv, conv1_biases)
+
+        #Add batch norm
+        if use_batchnorm:
+            mean,variance = tf.nn.moments(conv, bn_axes)
+            conv = tf.nn.batch_normalization(conv, mean, variance, None,None,var_eps)
+
+        relu = tf.nn.relu(conv)
+        pool = tf.nn.max_pool(relu,
+                          ksize=[1, 2, 2, 1],
+                          strides=[1, 2, 2, 1],
+                          padding='SAME')
+
+        conv = tf.nn.conv2d(pool,
+                            conv2_weights,
+                            strides=[1, 1, 1, 1],
+                            padding='SAME')
+
+        conv = tf.nn.bias_add(conv, conv2_biases)
+        #Add batch norm
+        if use_batchnorm:
+            mean,variance = tf.nn.moments(conv, bn_axes)
+            conv = tf.nn.batch_normalization(conv, mean, variance, None,None,var_eps)
+
+        relu = tf.nn.relu(conv)
+        pool = tf.nn.max_pool(relu,
+                              ksize=[1, 2, 2, 1],
+                              strides=[1, 2, 2, 1],
+                              padding='SAME')
+
+
+        #Reshape the feature map cuboid into a 2D matrix to feed it to the
+        # fully connected layers.
+        pool_shape = pool.get_shape().as_list()
+        reshape = tf.reshape(
+                pool,
+                [-1, pool_shape[1] * pool_shape[2] * pool_shape[3]])
+        # Fully connected layer. Note that the '+' operation automatically
+        # broadcasts the biases.
+        hidden = tf.nn.relu(tf.matmul(reshape, fc1_weights) + fc1_biases)
+        # Add a 50% dropout during training only. Dropout also scales
+        # activations such that no rescaling is needed at evaluation time.
+        if is_train and use_dropout:
+            hidden = tf.nn.dropout(hidden, 0.5, seed=_SEED)
+
+        logits = tf.matmul(hidden, fc2_weights) + fc2_biases
+        self.prediction_tensor = tf.nn.softmax(logits)
+
+        tfu.get_session().run([param_var.initializer for param_var in self.get_param_vars()])
diff --git a/cs188-projects-master/P6 Classification/models.pyc b/cs188-projects-master/P6 Classification/models.pyc
new file mode 100644
index 0000000..f1b9c95
Binary files /dev/null and b/cs188-projects-master/P6 Classification/models.pyc differ
diff --git a/cs188-projects-master/P6 Classification/pacman.py b/cs188-projects-master/P6 Classification/pacman.py
new file mode 100644
index 0000000..740451d
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/pacman.py	
@@ -0,0 +1,684 @@
+# pacman.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Pacman.py holds the logic for the classic pacman game along with the main
+code to run a game.  This file is divided into three sections:
+
+  (i)  Your interface to the pacman world:
+          Pacman is a complex environment.  You probably don't want to
+          read through all of the code we wrote to make the game runs
+          correctly.  This section contains the parts of the code
+          that you will need to understand in order to complete the
+          project.  There is also some code in game.py that you should
+          understand.
+
+  (ii)  The hidden secrets of pacman:
+          This section contains all of the logic code that the pacman
+          environment uses to decide who can move where, who dies when
+          things collide, etc.  You shouldn't need to read this section
+          of code, but you can if you want.
+
+  (iii) Framework to start a game:
+          The final section contains the code for reading the command
+          you use to set up the game, then starting up a new game, along with
+          linking in all the external parts (agent functions, graphics).
+          Check this section out to see all the options available to you.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from util import nearestPoint
+from util import manhattanDistance
+import util, layout
+import sys, types, time, random, os
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    # static variable keeps track of which states have had getLegalActions called
+    explored = set()
+    def getAndResetExplored():
+        tmp = GameState.explored.copy()
+        GameState.explored = set()
+        return tmp
+    getAndResetExplored = staticmethod(getAndResetExplored)
+
+    def getLegalActions( self, agentIndex=0 ):
+        """
+        Returns the legal actions for the agent specified.
+        """
+#        GameState.explored.add(self)
+        if self.isWin() or self.isLose(): return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions( self )
+        else:
+            return GhostRules.getLegalActions( self, agentIndex )
+
+    def generateSuccessor( self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose(): raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction( state, action )
+        else:                # A ghost is moving
+            GhostRules.applyAction( state, action, agentIndex )
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY # Penalty for waiting around
+        else:
+            GhostRules.decrementTimer( state.data.agentStates[agentIndex] )
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath( state, agentIndex )
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+        GameState.explored.add(self)
+        GameState.explored.add(state)
+        return state
+
+    def getLegalPacmanActions( self ):
+        return self.getLegalActions( 0 )
+
+    def generatePacmanSuccessor( self, action ):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor( 0, action )
+
+    def getPacmanState( self ):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition( self ):
+        return self.data.agentStates[0].getPosition()
+
+    def getGhostStates( self ):
+        return self.data.agentStates[1:]
+
+    def getGhostState( self, agentIndex ):
+        if agentIndex == 0 or agentIndex >= self.getNumAgents():
+            raise Exception("Invalid index passed to getGhostState")
+        return self.data.agentStates[agentIndex]
+
+    def getGhostPosition( self, agentIndex ):
+        if agentIndex == 0:
+            raise Exception("Pacman's index passed to getGhostPosition")
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostPositions(self):
+        return [s.getPosition() for s in self.getGhostStates()]
+
+    def getNumAgents( self ):
+        return len( self.data.agentStates )
+
+    def getScore( self ):
+        return float(self.data.score)
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood( self ):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is a wall at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+    def isLose( self ):
+        return self.data._lose
+
+    def isWin( self ):
+        return self.data._win
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__( self, prevState = None ):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None: # Initial state
+            self.data = GameStateData(prevState.data)
+        else:
+            self.data = GameStateData()
+
+    def deepCopy( self ):
+        state = GameState( self )
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__( self, other ):
+        """
+        Allows two states to be compared.
+        """
+        return hasattr(other, 'data') and self.data == other.data
+
+    def __hash__( self ):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash( self.data )
+
+    def __str__( self ):
+
+        return str(self.data)
+
+    def initialize( self, layout, numGhostAgents=1000 ):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+SCARED_TIME = 40    # Moves ghosts are scared
+COLLISION_TOLERANCE = 0.7 # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1 # Number of points lost each round
+
+class ClassicGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+    def __init__(self, timeout=30):
+        self.timeout = timeout
+
+    def newGame( self, layout, pacmanAgent, ghostAgents, display, quiet = False, catchExceptions=False):
+        agents = [pacmanAgent] + ghostAgents[:layout.getNumGhosts()]
+        initState = GameState()
+        initState.initialize( layout, len(ghostAgents) )
+        game = Game(agents, display, self, catchExceptions=catchExceptions)
+        game.state = initState
+        self.initialState = initState.deepCopy()
+        self.quiet = quiet
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin(): self.win(state, game)
+        if state.isLose(): self.lose(state, game)
+
+    def win( self, state, game ):
+        if not self.quiet: print "Pacman emerges victorious! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def lose( self, state, game ):
+        if not self.quiet: print "Pacman died! Score: %d" % state.data.score
+        game.gameOver = True
+
+    def getProgress(self, game):
+        return float(game.state.getNumFood()) / self.initialState.getNumFood()
+
+    def agentCrash(self, game, agentIndex):
+        if agentIndex == 0:
+            print "Pacman crashed"
+        else:
+            print "A ghost crashed"
+
+    def getMaxTotalTime(self, agentIndex):
+        return self.timeout
+
+    def getMaxStartupTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveWarningTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveTimeout(self, agentIndex):
+        return self.timeout
+
+    def getMaxTimeWarnings(self, agentIndex):
+        return 0
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    PACMAN_SPEED=1
+
+    def getLegalActions( state ):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions( state.getPacmanState().configuration, state.data.layout.walls )
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action ):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions( state )
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector( action, PacmanRules.PACMAN_SPEED )
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor( vector )
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint( next )
+        if manhattanDistance( nearest, next ) <= 0.5 :
+            # Remove food
+            PacmanRules.consume( nearest, state )
+    applyAction = staticmethod( applyAction )
+
+    def consume( position, state ):
+        x,y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+            # TODO: cache numFood?
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += 500
+                state.data._win = True
+        # Eat capsule
+        if( position in state.getCapsules() ):
+            state.data.capsules.remove( position )
+            state.data._capsuleEaten = position
+            # Reset all ghosts' scared timers
+            for index in range( 1, len( state.data.agentStates ) ):
+                state.data.agentStates[index].scaredTimer = SCARED_TIME
+    consume = staticmethod( consume )
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    GHOST_SPEED=1.0
+    def getLegalActions( state, ghostIndex ):
+        """
+        Ghosts cannot stop, and cannot turn around unless they
+        reach a dead end, but can turn 90 degrees at intersections.
+        """
+        conf = state.getGhostState( ghostIndex ).configuration
+        possibleActions = Actions.getPossibleActions( conf, state.data.layout.walls )
+        reverse = Actions.reverseDirection( conf.direction )
+        if Directions.STOP in possibleActions:
+            possibleActions.remove( Directions.STOP )
+        if reverse in possibleActions and len( possibleActions ) > 1:
+            possibleActions.remove( reverse )
+        return possibleActions
+    getLegalActions = staticmethod( getLegalActions )
+
+    def applyAction( state, action, ghostIndex):
+
+        legal = GhostRules.getLegalActions( state, ghostIndex )
+        if action not in legal:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        speed = GhostRules.GHOST_SPEED
+        if ghostState.scaredTimer > 0: speed /= 2.0
+        vector = Actions.directionToVector( action, speed )
+        ghostState.configuration = ghostState.configuration.generateSuccessor( vector )
+    applyAction = staticmethod( applyAction )
+
+    def decrementTimer( ghostState):
+        timer = ghostState.scaredTimer
+        if timer == 1:
+            ghostState.configuration.pos = nearestPoint( ghostState.configuration.pos )
+        ghostState.scaredTimer = max( 0, timer - 1 )
+    decrementTimer = staticmethod( decrementTimer )
+
+    def checkDeath( state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0: # Pacman just moved; Anyone can kill him
+            for index in range( 1, len( state.data.agentStates ) ):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                    GhostRules.collide( state, ghostState, index )
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill( pacmanPosition, ghostPosition ):
+                GhostRules.collide( state, ghostState, agentIndex )
+    checkDeath = staticmethod( checkDeath )
+
+    def collide( state, ghostState, agentIndex):
+        if ghostState.scaredTimer > 0:
+            state.data.scoreChange += 200
+            GhostRules.placeGhost(state, ghostState)
+            ghostState.scaredTimer = 0
+            # Added for first-person
+            state.data._eaten[agentIndex] = True
+        else:
+            if not state.data._win:
+                state.data.scoreChange -= 500
+                state.data._lose = True
+    collide = staticmethod( collide )
+
+    def canKill( pacmanPosition, ghostPosition ):
+        return manhattanDistance( ghostPosition, pacmanPosition ) <= COLLISION_TOLERANCE
+    canKill = staticmethod( canKill )
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod( placeGhost )
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+def default(str):
+    return str + ' [Default: %default]'
+
+def parseAgentArgs(str):
+    if str == None: return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key,val = p, 1
+        opts[key] = val
+    return opts
+
+def readCommand( argv ):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python pacman.py 
+    EXAMPLES:   (1) python pacman.py
+                    - starts an interactive game
+                (2) python pacman.py --layout smallClassic --zoom 2
+                OR  python pacman.py -l smallClassic -z 2
+                    - starts an interactive game on a smaller board, zoomed in
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default('the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='mediumClassic')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default('the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-t', '--textGraphics', action='store_true', dest='textGraphics',
+                      help='Display output as text only', default=False)
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default('the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar = 'TYPE', default='RandomGhost')
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=4)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed',
+                      help='Fixes the random seed to always play the same game', default=False)
+    parser.add_option('-r', '--recordActions', action='store_true', dest='record',
+                      help='Writes game histories to a file (named by the time they were played)', default=False)
+    parser.add_option('--replay', dest='gameToReplay',
+                      help='A recorded game file (pickle) to replay', default=None)
+    parser.add_option('-a','--agentArgs',dest='agentArgs',
+                      help='Comma separated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-x', '--numTraining', dest='numTraining', type='int',
+                      help=default('How many episodes are training (suppresses output)'), default=0)
+    parser.add_option('--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-c', '--catchExceptions', action='store_true', dest='catchExceptions',
+                      help='Turns on exception handling and timeouts during games', default=False)
+    parser.add_option('--timeout', dest='timeout', type='int',
+                      help=default('Maximum length of time an agent can spend computing in a single game'), default=30)
+
+    options, otherjunk = parser.parse_args(argv)
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + str(otherjunk))
+    args = dict()
+
+    # Fix the random seed
+    if options.fixRandomSeed: random.seed('cs188')
+
+    # Choose a layout
+    args['layout'] = layout.getLayout( options.layout )
+    if args['layout'] == None: raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a Pacman agent
+    noKeyboard = options.gameToReplay == None and (options.textGraphics or options.quietGraphics)
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    if options.numTraining > 0:
+        args['numTraining'] = options.numTraining
+        if 'numTraining' not in agentOpts: agentOpts['numTraining'] = options.numTraining
+    pacman = pacmanType(**agentOpts) # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    # Don't display training games
+    if 'numTrain' in agentOpts:
+        options.numQuiet = int(agentOpts['numTrain'])
+        options.numIgnore = int(agentOpts['numTrain'])
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, noKeyboard)
+    args['ghosts'] = [ghostType( i+1 ) for i in range( options.numGhosts )]
+
+    # Choose a display format
+    if options.quietGraphics:
+        import textDisplay
+        args['display'] = textDisplay.NullGraphics()
+    elif options.textGraphics:
+        import textDisplay
+        textDisplay.SLEEP_TIME = options.frameTime
+        args['display'] = textDisplay.PacmanGraphics()
+    else:
+        import graphicsDisplay
+        args['display'] = graphicsDisplay.PacmanGraphics(options.zoom, frameTime = options.frameTime)
+    args['numGames'] = options.numGames
+    args['record'] = options.record
+    args['catchExceptions'] = options.catchExceptions
+    args['timeout'] = options.timeout
+
+    # Special case: recorded games don't use the runGames method or args structure
+    if options.gameToReplay != None:
+        print 'Replaying recorded game %s.' % options.gameToReplay
+        import cPickle
+        f = open(options.gameToReplay)
+        try: recorded = cPickle.load(f)
+        finally: f.close()
+        recorded['display'] = args['display']
+        replayGame(**recorded)
+        sys.exit(0)
+
+    return args
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir): continue
+        moduleNames = [f for f in os.listdir(moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception('Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman + ' is not specified in any *Agents.py.')
+
+def replayGame( layout, actions, display ):
+    import pacmanAgents, ghostAgents
+    rules = ClassicGameRules()
+    agents = [pacmanAgents.GreedyAgent()] + [ghostAgents.RandomGhost(i+1) for i in range(layout.getNumGhosts())]
+    game = rules.newGame( layout, agents[0], agents[1:], display )
+    state = game.state
+    display.initialize(state.data)
+
+    for action in actions:
+            # Execute the action
+        state = state.generateSuccessor( *action )
+        # Change the display
+        display.update( state.data )
+        # Allow for game specific conditions (winning, losing, etc.)
+        rules.process(state, game)
+
+    display.finish()
+
+def runGames( layout, pacman, ghosts, display, numGames, record, numTraining = 0, catchExceptions=False, timeout=30 ):
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = ClassicGameRules(timeout)
+    games = []
+
+    for i in range( numGames ):
+        beQuiet = i < numTraining
+        if beQuiet:
+                # Suppress output and graphics
+            import textDisplay
+            gameDisplay = textDisplay.NullGraphics()
+            rules.quiet = True
+        else:
+            gameDisplay = display
+            rules.quiet = False
+        game = rules.newGame( layout, pacman, ghosts, gameDisplay, beQuiet, catchExceptions)
+        game.run()
+        if not beQuiet: games.append(game)
+
+        if record:
+            import time, cPickle
+            fname = ('recorded-game-%d' % (i + 1)) +  '-'.join([str(t) for t in time.localtime()[1:6]])
+            f = file(fname, 'w')
+            components = {'layout': layout, 'actions': game.moveHistory}
+            cPickle.dump(components, f)
+            f.close()
+
+    if (numGames-numTraining) > 0:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True)/ float(len(wins))
+        print 'Average Score:', sum(scores) / float(len(scores))
+        print 'Scores:       ', ', '.join([str(score) for score in scores])
+        print 'Win Rate:      %d/%d (%.2f)' % (wins.count(True), len(wins), winRate)
+        print 'Record:       ', ', '.join([ ['Loss', 'Win'][int(w)] for w in wins])
+
+    return games
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand( sys.argv[1:] ) # Get game components based on input
+    runGames( **args )
+
+    # import cProfile
+    # cProfile.run("runGames( **args )")
+    pass
diff --git a/cs188-projects-master/P6 Classification/pacman.pyc b/cs188-projects-master/P6 Classification/pacman.pyc
new file mode 100644
index 0000000..25e2685
Binary files /dev/null and b/cs188-projects-master/P6 Classification/pacman.pyc differ
diff --git a/cs188-projects-master/P6 Classification/pacmanAgents.py b/cs188-projects-master/P6 Classification/pacmanAgents.py
new file mode 100644
index 0000000..ae97634
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/pacmanAgents.py	
@@ -0,0 +1,52 @@
+# pacmanAgents.py
+# ---------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from pacman import Directions
+from game import Agent
+import random
+import game
+import util
+
+class LeftTurnAgent(game.Agent):
+    "An agent that turns left at every opportunity"
+
+    def getAction(self, state):
+        legal = state.getLegalPacmanActions()
+        current = state.getPacmanState().configuration.direction
+        if current == Directions.STOP: current = Directions.NORTH
+        left = Directions.LEFT[current]
+        if left in legal: return left
+        if current in legal: return current
+        if Directions.RIGHT[current] in legal: return Directions.RIGHT[current]
+        if Directions.LEFT[left] in legal: return Directions.LEFT[left]
+        return Directions.STOP
+
+class GreedyAgent(Agent):
+    def __init__(self, evalFn="scoreEvaluation"):
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        assert self.evaluationFunction != None
+
+    def getAction(self, state):
+        # Generate candidate actions
+        legal = state.getLegalPacmanActions()
+        if Directions.STOP in legal: legal.remove(Directions.STOP)
+
+        successors = [(state.generateSuccessor(0, action), action) for action in legal]
+        scored = [(self.evaluationFunction(state), action) for state, action in successors]
+        bestScore = max(scored)[0]
+        bestActions = [pair[1] for pair in scored if pair[0] == bestScore]
+        return random.choice(bestActions)
+
+def scoreEvaluation(state):
+    return state.getScore()
diff --git a/cs188-projects-master/P6 Classification/pacmanPlot.py b/cs188-projects-master/P6 Classification/pacmanPlot.py
new file mode 100644
index 0000000..1dd5b5b
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/pacmanPlot.py	
@@ -0,0 +1,633 @@
+# pacmanPlot.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsDisplay import PacmanGraphics
+from graphicsDisplay import InfoPane
+import graphicsDisplay
+import graphicsUtils
+from game import GameStateData
+from game import AgentState
+from game import Configuration
+from game import Directions
+from layout import Layout
+from Tkinter import mainloop
+import math
+import numpy as np
+import time
+import plotUtil
+
+LINE_COLOR = graphicsUtils.formatColor(0, 1, 0)
+
+def plotPoints(x,y):
+    """
+    Create a Pacman display, plotting the points (x[i],y[i]) for all i in len(x).
+    This method will block control and hand it to the displayed window.
+
+    x: array or list of N scalar values.
+    y: array or list of N scalar values.
+
+    >>> x = range(-3,4)
+    >>> squared = lambda x : x**2
+    >>> y = map(squared, x)
+    >>> pacmanPlot.plotPoints(x,y)
+   """
+    display = PacmanPlot(x,y)
+    display.takeControl()
+
+class PacmanPlot(PacmanGraphics):
+    def __init__(self, x=None, y=None, zoom=1.0, frameTime=0.0):
+        """
+        Create and dispaly a pacman plot figure.
+
+        If both x and y are provided, plot the points (x[i],y[i]) for all i in len(x).
+
+        This will draw on the existing pacman window (clearing it first) or create a new one if no window exists.
+
+        x: array or list of N scalar values. Default=None, in which case no points will be plotted
+        y: array or list of N scalar values. Default=None, in which case no points will be plotted
+        """
+        super(PacmanPlot, self).__init__(zoom, frameTime)
+
+        if x is None or y is None:
+            width = 23
+            height = 23
+            xmin = -(width-1)/2+1
+            ymin = -(height-1)/2+1
+
+            self.initPlot(xmin, ymin, width, height)
+        else:
+            self.plot(x,y)
+
+    def initPlot(self, xmin, ymin, width, height):
+        if graphicsUtils._canvas is not None:
+            graphicsUtils.clear_screen()
+
+        # Initialize GameStateData with blank board with axes
+        self.width = width
+        self.height = height
+        self.xShift = -(xmin-1)
+        self.yShift = -(ymin-1)
+        self.line = None
+
+        self.zoom = min(30.0/self.width, 20.0/self.height)
+        self.gridSize = graphicsDisplay.DEFAULT_GRID_SIZE * self.zoom
+
+
+#         fullRow = ['%']*self.width
+#         row = ((self.width-1)/2)*[' '] + ['%'] + ((self.width-1)/2)*[' ']
+#         boardText = ((self.height-1)/2)*[row] + [fullRow] + ((self.height-1)/2)*[row]
+
+        numSpaces = self.width-1
+        numSpacesLeft = self.xShift
+        numSpacesRight = numSpaces-numSpacesLeft
+
+        numRows = self.height
+        numRowsBelow = self.yShift
+        numRowsAbove = numRows-1-numRowsBelow
+
+
+        fullRow = ['%']*self.width
+        if numSpacesLeft < 0:
+            row = [' ']*self.width
+        else:
+            row = numSpacesLeft*[' '] + ['%'] + numSpacesRight*[' ']
+        boardText = numRowsAbove*[row] + [fullRow] + numRowsBelow*[row]
+
+        layout = Layout(boardText)
+
+        self.blankGameState = GameStateData()
+        self.blankGameState.initialize(layout, 0)
+        self.initialize(self.blankGameState)
+        title = 'Pacman Plot'
+        graphicsUtils.changeText(self.infoPane.scoreText, title)
+        graphicsUtils.refresh()
+
+    def plot(self, x, y, weights=None, title='Pacman Plot'):
+        """
+        Plot the input values x with their corresponding output values y (either true or predicted).
+        Also, plot the linear regression line if weights are given; assuming h_w(x) = weights[0]*x + weights[1].
+
+        This will draw on the existing pacman window (clearing it first) or create a new one if no window exists.
+
+        x: array or list of N scalar values.
+        y: array or list of N scalar values.
+        weights: array or list of 2 values (or if just one value, the bias weight is assumed to be zero). If None,
+            no line is drawn. Default: None
+        """
+        if np.array(x).size == 0:
+            return
+
+        if isinstance(x[0], np.ndarray):
+            # Scrape the first element of each data point
+            x = [data[0] for data in x]
+
+        xmin = int(math.floor(min(x)))
+        ymin = int(math.floor(min(y)))
+        xmax = int(math.ceil(max(x)))
+        ymax = int(math.ceil(max(y)))
+        width = xmax-xmin+3
+        height = ymax-ymin+3
+        self.initPlot(xmin, ymin, width, height)
+
+        gameState = self.blankGameState.deepCopy()
+
+        gameState.agentStates = []
+
+        # Add ghost at each point
+        for (px,py) in zip(x,y):
+            point = (px+self.xShift, py+self.yShift)
+            gameState.agentStates.append( AgentState( Configuration( point, Directions.STOP), False) )
+
+#         self.initialize(gameState)
+        graphicsUtils.clear_screen()
+        self.infoPane = InfoPane(gameState.layout, self.gridSize)
+        self.drawStaticObjects(gameState)
+        self.drawAgentObjects(gameState)
+
+        graphicsUtils.changeText(self.infoPane.scoreText, title)
+        graphicsUtils.refresh()
+
+
+    def setWeights(self, weights):
+        pass
+
+    def takeControl(self):
+        """
+        Give full control to the window. Blocks current thread. Program will exit when window is closed.
+        """
+        mainloop()
+
+#     def animate():
+#         numSteps = width-2
+#         for i in range(numSteps):
+#             x = point1[0] + i*dx*1.0/numSteps
+#             y = point1[1] + i*dy*1.0/numSteps
+#             newPacman = AgentState( Configuration( (x,y), angle), True)
+#             display.animatePacman(newPacman, display.agentImages[0][0], display.agentImages[0][1])
+#             display.agentImages[0] = (newPacman, display.agentImages[0][1])
+#         newPacman = AgentState( Configuration( point2, angle), True)
+#         display.animatePacman(newPacman, display.agentImages[0][0], display.agentImages[0][1])
+#         display.agentImages[0] = (newPacman, display.agentImages[0][1])
+
+
+class PacmanPlotRegression(PacmanPlot):
+    def __init__(self, zoom=1.0, frameTime=0.0):
+        super(PacmanPlotRegression, self).__init__(zoom=zoom, frameTime=frameTime)
+        self.addPacmanToLineStart = True
+
+    def plot(self, x, y, weights=None, title='Linear Regression'):
+        """
+        Plot the input values x with their corresponding output values y (either true or predicted).
+        Also, plot the linear regression line if weights are given; assuming h_w(x) = weights[0]*x + weights[1].
+
+        This will draw on the existing pacman window (clearing it first) or create a new one if no window exists.
+
+        x: array or list of N scalar values.
+        y: array or list of N scalar values.
+        weights: array or list of 2 values (or if just one value, the bias weight is assumed to be zero). If None,
+            no line is drawn. Default: None
+        """
+        if np.array(x).size == 0:
+            return
+
+        if isinstance(x[0], np.ndarray):
+            # Scrape the first element of each data point
+            x = [data[0] for data in x]
+
+        xmin = int(math.floor(min(x)))
+        ymin = int(math.floor(min(y)))
+        xmax = int(math.ceil(max(x)))
+        ymax = int(math.ceil(max(y)))
+        width = xmax-xmin+3
+        height = ymax-ymin+3
+        self.initPlot(xmin, ymin, width, height)
+
+        gameState = self.blankGameState.deepCopy()
+
+        gameState.agentStates = []
+
+        # Put pacman in bottom left
+        if self.addPacmanToLineStart is True:
+            gameState.agentStates.append( AgentState( Configuration( (1,1), Directions.STOP), True) )
+
+        # Add ghost at each point
+        for (px,py) in zip(x,y):
+            point = (px+self.xShift, py+self.yShift)
+            gameState.agentStates.append( AgentState( Configuration( point, Directions.STOP), False) )
+
+#         self.initialize(gameState)
+        graphicsUtils.clear_screen()
+        self.infoPane = InfoPane(gameState.layout, self.gridSize)
+        self.drawStaticObjects(gameState)
+        self.drawAgentObjects(gameState)
+
+        graphicsUtils.changeText(self.infoPane.scoreText, title)
+        graphicsUtils.refresh()
+
+        if weights is not None:
+            self.setWeights(weights)
+
+    def setWeights(self, weights):
+        """
+        Plot the linear regression line for given weights; assuming h_w(x) = weights[0]*x + weights[1].
+
+        This will draw on the existing pacman window with the existing points
+
+        weights: array or list of 2 values (or if just one value, the bias weight is assumed to be zero). If None,
+            no line is drawn. Default: None
+        """
+        weights = np.array(weights)
+
+        if weights.size >= 2:
+            w = weights[0]
+            b = weights[1]
+        else:
+            w = float(weights)
+            b = 0
+
+#         xmin = min(x)
+#         xmax = max(x)
+#
+#         ymin = w*xmin + b
+#         ymax = w*xmax + b
+#
+#         point1 = (xmin+self.xShift, ymin+self.yShift)
+#         point2 = (xmax+self.xShift, ymax+self.yShift)
+
+        (point1, point2) = plotUtil.lineBoxIntersection(w, -1, b,
+                                                        1-self.xShift, 1-self.yShift,
+                                                        self.width-2-self.xShift, self.height-2-self.yShift)
+
+        if point1 is not None and point2 is not None:
+            point1 = (point1[0]+self.xShift, point1[1]+self.yShift)
+            point2 = (point2[0]+self.xShift, point2[1]+self.yShift)
+
+            dx = point2[0]-point1[0]
+            dy = point2[1]-point1[1]
+            if dx == 0:
+                angle = 90 + 180*dy*1.0/abs(dy)
+            else:
+                angle = math.atan(dy*1.0/dx)*180.0/math.pi
+
+            if self.line is not None:
+                graphicsUtils.remove_from_screen(self.line)
+            self.line = graphicsUtils.polygon([self.to_screen(point1), self.to_screen(point2)], LINE_COLOR, filled=0, behind=0)
+
+            if self.addPacmanToLineStart is True and len(self.agentImages) > 0:
+                # Bring pacman to front of display
+                graphicsUtils._canvas.tag_raise(self.agentImages[0][1][0])
+
+                # Put pacman at beginning of line
+                self.movePacman(point1, angle, self.agentImages[0][1])
+
+            graphicsUtils.refresh()
+
+class PacmanPlotLogisticRegression1D(PacmanPlot):
+    def __init__(self, zoom=1.0, frameTime=0.0):
+        super(PacmanPlotLogisticRegression1D, self).__init__(zoom=zoom, frameTime=frameTime)
+        self.addPacmanToLineStart = False
+
+    def plot(self, x, y, weights=None, title='Logistic Regression'):
+        """
+        Plot the 1D input points, data[i], colored based on their corresponding labels (either true or predicted).
+        Also, plot the logistic function fit if weights are given.
+
+        This will draw on the existing pacman window (clearing it first) or create a new one if no window exists.
+
+        x: list of 1D points, where each 1D point in the list is a 1 element numpy.ndarray
+        y: list of N labels, one for each point in data. Labels can be of any type that can be converted
+            a string.
+        weights: array of 2 values the first one is the weight on the data and the second value is the bias weight term.
+        If there are only 1 values in weights,
+            the bias term is assumed to be zero.  If None, no line is drawn. Default: None
+        """
+        if np.array(x).size == 0:
+            return
+
+        # Process data, sorting by label
+        possibleLabels = list(set(y))
+        sortedX = {}
+        for label in possibleLabels:
+            sortedX[label] = []
+
+        for i in range(len(x)):
+            sortedX[y[i]].append(x[i])
+
+        xmin = int(math.floor(min(x)))
+        xmax = int(math.ceil(max(x)))
+        ymin = int(math.floor(0))-1
+        ymax = int(math.ceil(1))
+        width = xmax-xmin+3
+        height = ymax-ymin+3
+        self.initPlot(xmin, ymin, width, height)
+
+        gameState = self.blankGameState.deepCopy()
+
+        gameState.agentStates = []
+
+        # Put pacman in bottom left
+        if self.addPacmanToLineStart is True:
+            gameState.agentStates.append( AgentState( Configuration( (1,1), Directions.STOP), True) )
+
+        # Add ghost at each point
+        for (py, label) in enumerate(possibleLabels):
+            pointsX = sortedX[label]
+            for px in pointsX:
+                point = (px+self.xShift, py+self.yShift)
+                agent = AgentState( Configuration( point, Directions.STOP), False)
+                agent.isPacman = 1-py
+                gameState.agentStates.append(agent)
+
+#         self.initialize(gameState)
+        graphicsUtils.clear_screen()
+        self.infoPane = InfoPane(gameState.layout, self.gridSize)
+        self.drawStaticObjects(gameState)
+        self.drawAgentObjects(gameState)
+
+        graphicsUtils.changeText(self.infoPane.scoreText, title)
+        graphicsUtils.refresh()
+
+        if weights is not None:
+            self.setWeights(weights)
+
+    def setWeights(self, weights):
+        """
+        Plot the logistic regression line for given weights
+
+        This will draw on the existing pacman window with the existing points
+
+        weights: array or list of 2 values (or if just one value, the bias weight is assumed to be zero). If None,
+            no line is drawn. Default: None
+        """
+        weights = np.array(weights)
+
+        if weights.size >= 2:
+            w = weights[0]
+            b = weights[1]
+        else:
+            w = float(weights)
+            b = 0
+
+        xmin = 1 - self.xShift
+        xmax = self.width-2 - self.xShift
+
+        x = np.linspace(xmin, xmax,30)
+        y = 1.0/(1+np.exp(-(w*x+b)))
+        x += self.xShift
+        y += self.yShift
+
+        if self.line is not None:
+            for obj in self.line:
+                graphicsUtils.remove_from_screen(obj)
+
+        self.line = []
+
+        prevPoint = self.to_screen((x[0],y[0]))
+        for i in xrange(1,len(x)):
+            point = self.to_screen((x[i],y[i]))
+            self.line.append(graphicsUtils.line(prevPoint, point, LINE_COLOR))
+            prevPoint = point
+
+#         prevPoint = self.to_screen((x[0],y[0]))
+#         for i in xrange(1,len(x)):
+#             point = self.to_screen((x[i],y[i]))
+#             line.append(graphicsUtils.line(prevPoint, point, LINE_COLOR, filled=0, behind=0)
+#
+#             prevPoint = point
+
+
+        if self.addPacmanToLineStart is True and len(self.agentImages) > 0:
+            # Bring pacman to front of display
+            graphicsUtils._canvas.tag_raise(self.agentImages[0][1][0])
+
+            # Put pacman at beginning of line
+            if w >= 0:
+                self.movePacman((x[0]-0.5,y[0]), Directions.EAST, self.agentImages[0][1])
+            else:
+                self.movePacman((x[-1]+0.5,y[-1]), Directions.WEST, self.agentImages[0][1])
+
+        graphicsUtils.refresh()
+
+class PacmanPlotClassification2D(PacmanPlot):
+    def __init__(self, zoom=1.0, frameTime=0.0):
+        super(PacmanPlotClassification2D, self).__init__(zoom=zoom, frameTime=frameTime)
+        self.prev_weights = None
+
+    def plot(self, x, y, weights=None, title='Linear Classification'):
+        """
+        Plot the 2D input points, data[i], colored based on their corresponding labels (either true or predicted).
+        Also, plot the linear separator line if weights are given.
+
+        This will draw on the existing pacman window (clearing it first) or create a new one if no window exists.
+
+        x: list of 2D points, where each 2D point in the list is a 2 element numpy.ndarray
+        y: list of N labels, one for each point in data. Labels can be of any type that can be converted
+            a string.
+        weights: array of 3 values the first two are the weight on the data and the third value is the bias
+        weight term. If there are only 2 values in weights, the bias term is assumed to be zero.  If None,
+        no line is drawn. Default: None
+        """
+        if np.array(x).size == 0:
+            return
+
+        # Process data, sorting by label
+        possibleLabels = list(set(y))
+        sortedX1 = {}
+        sortedX2 = {}
+        for label in possibleLabels:
+            sortedX1[label] = []
+            sortedX2[label] = []
+
+        for i in range(len(x)):
+            sortedX1[y[i]].append(x[i][0])
+            sortedX2[y[i]].append(x[i][1])
+
+        x1min = float("inf")
+        x1max = float("-inf")
+        for x1Values in sortedX1.values():
+            x1min = min(min(x1Values), x1min)
+            x1max = max(max(x1Values), x1max)
+        x2min = float("inf")
+        x2max = float("-inf")
+        for x2Values in sortedX2.values():
+            x2min = min(min(x2Values), x2min)
+            x2max = max(max(x2Values), x2max)
+
+        x1min = int(math.floor(x1min))
+        x1max = int(math.ceil(x1max))
+        x2min = int(math.floor(x2min))
+        x2max = int(math.ceil(x2max))
+
+        width = x1max-x1min+3
+        height = x2max-x2min+3
+        self.initPlot(x1min, x2min, width, height)
+
+        gameState = self.blankGameState.deepCopy()
+
+        gameState.agentStates = []
+
+        # Add ghost/pacman at each point
+        for (labelIndex, label) in enumerate(possibleLabels):
+            pointsX1 = sortedX1[label]
+            pointsX2 = sortedX2[label]
+            for (px, py) in zip(pointsX1, pointsX2):
+                point = (px+self.xShift, py+self.yShift)
+                agent = AgentState( Configuration( point, Directions.STOP), False)
+                agent.isPacman = (labelIndex==0)
+                if labelIndex==2:
+                    agent.scaredTimer = 1
+                gameState.agentStates.append(agent)
+
+#         self.initialize(gameState)
+        graphicsUtils.clear_screen()
+        self.infoPane = InfoPane(gameState.layout, self.gridSize)
+        self.drawStaticObjects(gameState)
+        self.drawAgentObjects(gameState)
+
+        graphicsUtils.changeText(self.infoPane.scoreText, title)
+        graphicsUtils.refresh()
+
+        if weights is not None:
+            self.setWeights(weights)
+
+    def setWeights(self, weights):
+        """
+        Plot the logistic regression line for given weights
+
+        This will draw on the existing pacman window with the existing points
+
+        weights: array or list of 2 values (or if just one value, the bias weight is assumed to be zero). If None,
+            no line is drawn. Default: None
+        """
+
+        weights = np.array(weights)
+
+        if self.prev_weights is not None:
+            if np.allclose(self.prev_weights, weights):
+                return False # no line update
+        self.prev_weights = weights.copy()
+
+        w1 = weights[0]
+        w2 = weights[1]
+        if weights.size >= 3:
+            b = weights[2]
+        else:
+            b = 0
+
+        # Line functions
+        # Line where w1*x1 + w2*x2 + b = 0
+        # x2 = -(w1*x1 + b)/w2  or
+        # x1 = -(w2*x2 + b)/w1
+
+        # Figure out where line intersections bounding box around points
+        if w1 == 0 and w2 == 0:
+            return
+
+        (point1, point2) = plotUtil.lineBoxIntersection(w1, w2, b,
+                                                        1-self.xShift, 1-self.yShift,
+                                                        self.width-2-self.xShift, self.height-2-self.yShift)
+
+        if point1 is not None and point2 is not None:
+            point1 = (point1[0]+self.xShift, point1[1]+self.yShift)
+            point2 = (point2[0]+self.xShift, point2[1]+self.yShift)
+
+            if self.line is not None:
+                graphicsUtils.remove_from_screen(self.line)
+            self.line = graphicsUtils.polygon([self.to_screen(point1), self.to_screen(point2)], LINE_COLOR, filled=0, behind=0)
+
+        graphicsUtils.refresh()
+        return True # updated line
+
+if __name__ == '__main__':
+    """
+    Demo code
+    """
+    # Regression
+
+    display = PacmanPlotRegression()
+
+    x = np.random.normal(0,1,10)
+    display.plot(x*3, x**3)
+    time.sleep(2)
+
+    for i in range(6):
+        display.setWeights([(5-i)/5.0])
+        time.sleep(1)
+    time.sleep(1)
+
+    # With offset
+    display.setWeights([0, -5])
+    time.sleep(2)
+
+    # Classification 2D
+
+    display = PacmanPlotClassification2D()
+
+    # Generate labeled points
+    means = ((4,4), (-4,4), (0,-4))
+    labelNames= ('A','B','C')
+    labels = []
+    data = []
+    for i in range(15):
+        labelIndex = np.random.randint(len(labelNames))
+        labels.append(labelNames[labelIndex])
+        mean = np.array(means[labelIndex])
+        data.append(np.random.normal(mean,1,mean.shape))
+
+    display.plot(data, labels)
+    time.sleep(2)
+
+    for i in range(8):
+        display.setWeights([4,i])
+        time.sleep(1)
+
+
+    # With offset and horizontal separator
+    display.setWeights([0, 1, -3])
+    time.sleep(2)
+
+    # Logistic Regression
+
+    display = PacmanPlotLogisticRegression1D()
+
+    # Generate labeled points
+    means = (1, -5)
+    labelNames= ('A','B')
+    labels = []
+    data = []
+    for i in range(15):
+        labelIndex = np.random.randint(len(labelNames))
+        labels.append(labelNames[labelIndex])
+        mean = np.array(means[labelIndex])
+        data.append(np.random.normal(mean,3,mean.shape))
+
+    display.plot(data, labels)
+    time.sleep(2)
+
+    for i in range(8):
+        display.setWeights(4-i)
+        time.sleep(1)
+    time.sleep(1)
+
+    # With offset and horizontal separator
+    display.setWeights([-3, -6])
+
+#     # Just some extra tests
+#     display = PacmanPlotRegression()
+#     display.plot([-2, 2, 2], [2, 2, -2], [4,0])
+#     display = PacmanPlotClassification2D()
+#     display.plot([np.array([-1,1]), np.ones(2), np.array([1,-1])], [0,1,2], [1,0])
+
+    display.takeControl()
+    # Blocked until the window is closed
diff --git a/cs188-projects-master/P6 Classification/pacmanPlot.pyc b/cs188-projects-master/P6 Classification/pacmanPlot.pyc
new file mode 100644
index 0000000..dfcccdb
Binary files /dev/null and b/cs188-projects-master/P6 Classification/pacmanPlot.pyc differ
diff --git a/cs188-projects-master/P6 Classification/perceptron.py b/cs188-projects-master/P6 Classification/perceptron.py
new file mode 100644
index 0000000..ed48204
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/perceptron.py	
@@ -0,0 +1,191 @@
+# perceptron.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# Perceptron implementation
+import util
+import numpy as np
+import models
+import solvers
+PRINT = True
+
+
+class PerceptronClassifier(object):
+    """
+    Perceptron classifier.
+
+    Note that the variable 'datum' in this code refers to a counter of features
+    (not to a raw samples.Datum).
+    """
+    def __init__(self, num_features=None, num_labels=None):
+        self.num_features = num_features or 784
+        self.num_labels = num_labels or 10
+        self.legal_labels = list(range(self.num_labels))
+        self.weights = {}
+        for l in self.legal_labels:
+            self.weights[l] = util.Counter()  # this is the data-structure you should use
+
+    def set_weights(self, weights):
+        if isinstance(weights, dict):
+            raise ValueError('weights should be a dict with each value being a util.Counter')
+        if len(weights) != self.num_labels:
+            raise ValueError('weights should be of length %d, weights of length %d given' % (self.num_labels, len(weights)))
+        self.weights = weights
+
+    def train(self, input_train_data, label_train_data, input_val_data, label_val_data, iterations, callback=None):
+        """
+        Question 1: Implement the multi-class version of the perceptron algorithm
+
+        Args:
+            input_train_data: list of util.Counters
+            label_train_data: list of integers (representing the labels) of the same length as input_train_data
+            input_val_data: list of util.Counters
+            label_val_data: list of integers (representing the labels) of the same length as input_val_data
+            iterations: number of iterations to pass over all the dataset
+            callback: callback function for plotting
+
+        The training loop for the perceptron passes through the training data
+        several times and updates the weight vector for each label based on
+        classification errors. See the project description for details.
+
+        Use the provided self.weights[label] data structure so that
+        the classify method works correctly. Also, recall that a
+        datum is a counter from features to values for those features
+        (and thus represents a vector a values).
+
+        You don't need to use the validation data (input_val_data, label_val_data)
+        for this question, but it is provided in case you want to check the
+        accuracy on the validation data.
+
+        Useful method:
+        self.classify(...)
+        """
+
+        # DO NOT ZERO OUT YOUR WEIGHTS BEFORE STARTING TRAINING, OR
+        # THE AUTOGRADER WILL LIKELY DEDUCT POINTS.
+        for iteration in range(iterations):
+            print "Starting iteration ", iteration, "..."
+            for i in range(len(input_train_data)):
+                # the callback plots the line in the Pacman Plot
+                if callback is not None: callback()
+                "*** YOUR CODE HERE ***"
+                max_label = self.classify(input_train_data[i])
+                prime_label = label_train_data[i]
+                if max_label != prime_label:
+                    update = input_train_data[i]
+                    self.weights[max_label] -= update
+                    self.weights[prime_label] += update
+
+    def classify(self, input_datum_or_data):
+        """
+        Classifies a datum or each datum in a list of data.
+
+        Args:
+            input_datum_or_data: a single util.Counter or a list of them, where
+                each util.Counter is a datum.
+
+        Returns:
+            An integer (representing a label) if a single datum is passed in, or
+                a list of integers (representing the labels) if a list of data
+                is passed in.
+        """
+        if isinstance(input_datum_or_data, util.Counter):
+            input_datum = input_datum_or_data
+            vectors = util.Counter()
+            for l in self.legal_labels:
+                vectors[l] = self.weights[l] * input_datum
+            category_label = vectors.argMax()
+            return category_label
+        elif isinstance(input_datum_or_data, (list, tuple)):
+            input_data = input_datum_or_data
+            category_labels = [self.classify(input_datum) for input_datum in input_data]
+            return category_labels
+        else:
+            raise ValueError("input_datum_or_data should be a util.Counter, "
+                             "list or tuple, but a %r was given" % input_datum_or_data)
+
+    def accuracy(self, input_data, label_data):
+        predictions = self.classify(input_data)
+        accuracy_count = [predictions[i] == label_data[i] for i in range(len(label_data))].count(True)
+        return 1.0*accuracy_count / len(label_data)
+
+    def find_high_weight_features(self, label):
+        """
+        Returns a list of the 100 features with the greatest weight for some label
+        """
+        "*** YOUR CODE HERE ***"
+        counter = self.weights[label].sortedKeys()
+        best100Features = counter[0:100]
+        return best100Features
+
+class PerceptronModel(PerceptronClassifier, models.ClassifierModel):
+    def get_param_values(self):
+        param = np.empty((self.num_features, self.num_labels))
+        for l in range(self.num_labels):
+            for f in range(self.num_features):
+                param[f, l] = self.weights[l][f]
+        return [param]
+
+    def set_param_values(self, params):
+        try:
+            param, = params
+        except ValueError:
+            raise ValueError('PerceptronModel only has one parameter, % parameters given' % len(params))
+        if param.shape != (self.num_features, self.num_labels):
+            raise ValueError('parameter should have shape %r, parameter with shape %r given' % ((self.num_features, self.num_labels), param.shape))
+        for l in range(self.num_labels):
+            for f in range(self.num_features):
+                self.weights[l][f] = param[f, l]
+
+    def classify(self, input_data):
+        if isinstance(input_data, np.ndarray):
+            input_data = util.counters_from_numpy_array(input_data)
+        return PerceptronClassifier.classify(self, input_data)
+
+    def accuracy(self, input_data, target_data):
+        if isinstance(input_data, np.ndarray):
+            input_data = util.counters_from_numpy_array(input_data)
+        if isinstance(target_data, np.ndarray):
+            target_data = util.list_from_numpy_array_one_hot(target_data)
+        return PerceptronClassifier.accuracy(self, input_data, target_data)
+
+
+class PerceptronSolver(solvers.Solver):
+    def __init__(self, iterations, plot=0):
+        self.iterations = iterations
+        self.plot = plot
+
+    def solve(self, input_train_data, target_train_data, input_val_data, target_val_data, model, callback=None):
+        if not isinstance(model, PerceptronModel):
+            raise ValueError('PerceptronSolver can only solve for PerceptronModel')
+        # convert numpy arrays to util.Counters and lists
+        print("Converting numpy arrays to counters and lists...")
+        rows = input_train_data.shape[0]
+        input_train_data = np.c_[input_train_data, np.ones((rows,1))]
+        input_train_data = util.counters_from_numpy_array(input_train_data)
+        target_train_data = util.list_from_numpy_array_one_hot(target_train_data)
+
+        rows = input_val_data.shape[0]
+        input_val_data = np.c_[input_val_data, np.ones((rows,1))]
+        input_val_data = util.counters_from_numpy_array(input_val_data)
+        target_val_data = util.list_from_numpy_array_one_hot(target_val_data)
+        print("... done")
+
+        if callback is None or self.plot == 0:
+            train_callback = None
+        else:
+            train_callback = lambda: callback(model)
+
+        model.train(input_train_data, target_train_data,
+                    input_val_data, target_val_data,
+                    iterations=self.iterations, callback=train_callback)
diff --git a/cs188-projects-master/P6 Classification/perceptron.pyc b/cs188-projects-master/P6 Classification/perceptron.pyc
new file mode 100644
index 0000000..3d56518
Binary files /dev/null and b/cs188-projects-master/P6 Classification/perceptron.pyc differ
diff --git a/cs188-projects-master/P6 Classification/plotUtil.py b/cs188-projects-master/P6 Classification/plotUtil.py
new file mode 100644
index 0000000..11b5580
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/plotUtil.py	
@@ -0,0 +1,393 @@
+# plotUtil.py
+# -----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+'''
+Utility module to help with plotting regression and classification data.
+'''
+import numpy as np
+try:
+    import matplotlib
+    # Included to avoid crashing python when matplot lib and some other
+    # Tkinter app (e.g. pacman) are both involved
+    matplotlib.use('TkAgg')
+
+    import matplotlib.pyplot as plt
+    matplotlibMissing = False
+except ImportError:
+    print 'plotUtil.plotRegression: Sorry, could not import matplotlib'
+    matplotlibMissing = True
+
+
+def plotCurve(x, y, figureIdx=1, figureTitle='Curve',blocking=False):
+    """
+    To plot a simple curve
+    """
+    if matplotlibMissing:
+        return
+    plt.figure(figureIdx)
+    plt.figure(figureIdx).clf()
+    plt.plot(x, y,'-r')
+    plt.title(figureTitle)
+    plt.pause(0.01)
+
+    if blocking is True:
+        plt.show()
+
+def plotTwoCurves(x1, y1, x2, y2, figureIdx=1, figureTitle='Curve', blocking=False, showLegend='False', label1='label1', label2='label2'):
+    """
+    To plot a simple curve
+    """
+    if matplotlibMissing:
+        return
+    plt.figure(figureIdx)
+    plt.figure(figureIdx).clf()
+    plt.plot(x1, y1,'-r',label=label1)
+    plt.plot(x2, y2,'-b',label=label2)
+
+    plt.title(figureTitle)
+    if showLegend is True:
+        plt.legend(numpoints=1)
+    plt.pause(0.01)
+
+    if blocking is True:
+        plt.show()
+
+def plotRegression(x, y, weights=None, figureIdx=1, blocking=False, showLegend='False', figureTitle = 'Linear Regression'):
+    """
+    Plot the input values x with their corresponding output values y (either true or predicted).
+    Also, plot the linear regression line if weights are given; assuming h_w(x) = weights[0]*x + weights[1].
+
+    This will draw on any current matplotlib figure (clearing it first) or create a new one if no figure exists.
+
+    x: array or list of N scalar values.
+    y: array or list of N scalar values.
+    weights: array or list of 2 values (or if just one value, the bias weight is assumed to be zero). If None,
+        no line is drawn. Default: None
+
+    blocking: If true, the function will not return until the figure has been closed. Default: False
+    """
+    if matplotlibMissing:
+        return
+
+    plt.figure(figureIdx)
+    plt.figure(figureIdx).clf()
+    
+    if np.array(x).size == 0:
+        return
+    
+    if isinstance(x[0], np.ndarray):
+        # Scrape the first element of each data point
+        x = [data[0] for data in x]
+
+    plt.plot(x, y, 'bo', label='(x[i], y[i])')
+
+    if weights is not None:
+        weights = np.array(weights)
+
+        if weights.size >= 2:
+            w = weights[0]
+            b = weights[1]
+        else:
+            w = weights
+            b = 0
+
+        xmin = min(x)
+        xmax = max(x)
+
+        ymin = w*xmin + b
+        ymax = w*xmax + b
+
+        plt.plot([xmin, xmax], [ymin, ymax], 'r-', label='y = w[1]*x + w[2]')
+
+    plt.xlabel('x')
+    plt.ylabel('y')
+    plt.title(figureTitle)
+    if showLegend is True:
+        plt.legend(numpoints=1)
+
+    plt.pause(0.01)
+    if blocking is True:
+        plt.show()
+
+def plotLogisticRegression1D(data, labels, weights=None, blocking=False, showLegend='False', figureTitle = "Logistic Regression"):
+    """
+    Plot the 1D input points, data[i], colored based on their corresponding labels (either true or predicted).
+    Also, plot the logistic function fit if weights are given.
+
+    This will draw on any current matplotlib figure (clearing it first) or create a new one if no figure exists.
+
+    data: list of 1D points, where each 1D point in the list is a 1 element numpy.ndarray
+    labels: list of N labels, one for each point in data. Labels can be of any type that can be converted
+        a string.
+    weights: array of 2 values the first one is the weight on the data and the second value is the bias weight term.
+    If there are only 1 values in weights,
+        the bias term is assumed to be zero.  If None, no line is drawn. Default: None
+
+    blocking: If true, the function will not return until the figure has been closed. Default: False
+    """
+    if matplotlibMissing:
+        return
+
+    # Process data, sorting by label
+    possibleLabels = list(set(labels))
+    sortedX = {}
+    for label in possibleLabels:
+        sortedX[label] = []
+
+    for i in range(len(data)):
+        sortedX[labels[i]].append(data[i])
+
+    xmin = min(data)
+    xmax = max(data)
+
+    plt.clf()
+
+    markers = ['o', 'o']
+    colors = ['r', 'g']
+
+    for (i, label) in enumerate(possibleLabels):
+        marker = colors[i%len(colors)] + markers[i%len(markers)]
+        plt.plot(sortedX[label], [i]*len(sortedX[label]), marker, label=str(label))
+        plt.axis([xmin, xmax, -0.5, 1.5])
+
+    if weights is not None:
+        weights = np.array(weights)
+
+        if weights.shape == ():
+            w = weights
+        else:
+            w = weights[0]
+        if weights.size >= 2:
+            b = weights[1]
+        else:
+            b = 0
+
+        x = np.linspace(xmin, xmax,100)
+        y = 1.0/(1+np.exp(-(w*x+b)))
+
+        plt.plot(x, y, 'b-', label='Logistic fit')
+
+    plt.xlabel('x1')
+    plt.ylabel('x2')
+    plt.title('Logistic Regression')
+    if showLegend is True:
+        plt.legend(numpoints=1)
+
+    plt.pause(0.01)
+    if blocking is True:
+        plt.show()
+
+def plotClassification2D(data, labels, weights=None, blocking=False, showLegend='False', figureTitle = "Linear Classification"):
+    """
+    Plot the 2D input points, data[i], colored based on their corresponding labels (either true or predicted).
+    Also, plot the linear seperator line if weights are given; the line where 0 = w[0]*x1 + w[1]*x2 + w[2].
+
+    This will draw on any current matplotlib figure (clearing it first) or create a new one if no figure exists.
+
+    data: list of 2D points, where each 2D point in the list is a 2 element numpy.ndarray
+    labels: list of N labels, one for each point in data. Labels can be of any type that can be converted
+        a string.
+    weights: array of 3 values the first two are the weights on the first and second coordinate, respectively,
+        of the 2D data. The third value is the bias weight term. If there are only 2 values in weights,
+        the bias term is assumed to be zero.  If None, no line is drawn. Default: None
+
+    blocking: If true, the function will not return until the figure has been closed. Default: False
+    """
+    if matplotlibMissing:
+        return
+
+    # Process data, sorting by label
+    possibleLabels = list(set(labels))
+    sortedX1 = {}
+    sortedX2 = {}
+    for label in possibleLabels:
+        sortedX1[label] = []
+        sortedX2[label] = []
+
+    for i in range(len(data)):
+        sortedX1[labels[i]].append(data[i][0])
+        sortedX2[labels[i]].append(data[i][1])
+
+    plt.clf()
+
+    markers = ['o', 'v', '^', '<', '>', '8', 's', 'p', '*', 'h', 'H', 'D', 'd']
+    colors = ['b', 'g', 'r', 'c', 'm', 'y', 'k']
+
+    for (i, label) in enumerate(possibleLabels):
+        marker = colors[i%len(colors)] + markers[i%len(markers)]
+        plt.plot(sortedX1[label], sortedX2[label], marker, label=label)
+
+    if weights is not None:
+        weights = np.array(weights)
+
+        w1 = weights[0]
+        w2 = weights[1]
+        if weights.size >= 3:
+            b = weights[2]
+        else:
+            b = 0
+
+        x1min = float("inf")
+        x1max = float("-inf")
+        for x1Values in sortedX1.values():
+            x1min = min(min(x1Values), x1min)
+            x1max = max(max(x1Values), x1max)
+        x2min = float("inf")
+        x2max = float("-inf")
+        for x2Values in sortedX2.values():
+            x2min = min(min(x2Values), x2min)
+            x2max = max(max(x2Values), x2max)
+
+        # Line functions
+        # Line where w1*x1 + w2*x2 + b = 0
+        # x2 = -(w1*x1 + b)/w2  or
+        # x1 = -(w2*x2 + b)/w1
+
+        # Figure out where line intersections bounding box around points
+
+        (point1, point2) = lineBoxIntersection(w1, w2, b, x1min, x2min, x1max, x2max)
+
+        if point1 is not None and point2 is not None:
+            plt.plot([point1[0], point2[0]], [point1[1], point2[1]], 'r-', label='0 = w[0]*x1 + w[1]*x2 + w[2]')
+
+    plt.xlabel('x1')
+    plt.ylabel('x2')
+    plt.title('Linear Classification')
+    if showLegend is True:
+        plt.legend(numpoints=1)
+
+    plt.pause(0.01)
+    if blocking is True:
+        plt.show()
+
+def lineBoxIntersection(w1, w2, b, xmin, ymin, xmax, ymax):
+    """
+    Figure out where line (w1*x+w2*y+b=0) intersections the 
+    box (xmin, ymin) -> (xmax, ymax)
+    """
+        
+    point1 = None
+    point2 = None
+    if w2 == 0:
+        x1a = -(w2*ymin + b)*1.0/w1
+        x1b = -(w2*ymax + b)*1.0/w1
+    
+        point1 = (x1a, ymin)
+        point2 = (x1b, ymax)
+    else:
+        x2a = -(w1*xmin + b)*1.0/w2
+        x2b = -(w1*xmax + b)*1.0/w2
+        
+        if w1 == 0:
+            point1 = (xmin, x2a)
+            point2 = (xmax, x2b)
+        else:
+
+            x1a = -(w2*ymin + b)*1.0/w1
+            x1b = -(w2*ymax + b)*1.0/w1
+            # Point 1
+            if x2a < ymin:
+                if xmin <= x1a and x1a <= xmax:
+                    # Point 1 on bottom edge
+                    point1 = (x1a, ymin)
+            elif x2a > ymax:
+                if xmin <= x1b and x1b <= xmax:
+                    # Point 1 on top edge
+                    point1 = (x1b, ymax)
+            else:
+                # Point 1 on left edge
+                point1 = (xmin, x2a)
+                
+            # Point 2
+            if point1 is not None:
+                if x2b < ymin:
+                    # Point 2 on bottom edge
+                    point2 = (x1a, ymin)
+                elif x2b > ymax:
+                    # Point 2 on top edge
+                    point2 = (x1b, ymax)
+                else:
+                    # Point 2 on right edge
+                    point2 = (xmax, x2b)                                                
+    return (point1, point2)
+
+
+if __name__ == '__main__':
+    """
+    Demo code
+    """
+    # Regression
+ 
+    x = np.random.normal(0,1,10)
+    plotRegression(x, x**3, blocking=True)
+    # Blocked until the window is closed
+ 
+    for i in range(8):
+        plotRegression(x, x**3, [i])
+ 
+    # With offset
+    plotRegression(x, x**3, [8, -10], blocking=True)
+    # Blocked until the window is closed
+ 
+    # Classification 2D
+ 
+    # Generate labeled points
+    means = ((4,4), (-4,4), (0,-4))
+    labelNames= ('A','B','C')
+    labels = []
+    data = []
+    for i in range(15):
+        labelIndex = np.random.randint(len(labelNames))
+        labels.append(labelNames[labelIndex])
+        mean = np.array(means[labelIndex])
+        data.append(np.random.normal(mean,1,mean.shape))
+ 
+    plotClassification2D(data, labels, blocking=True)
+    # Blocked until the window is closed
+ 
+    for i in range(8):
+        plotClassification2D(data, labels, [4,i])
+ 
+ 
+    # With offset and horizontal separator
+    plotClassification2D(data, labels, [0, 1, -3], blocking=True)
+    # Blocked until the window is closed
+    
+    # Classification 1D
+
+    # Generate labeled points
+    means = (1, -5)
+    labelNames= ('A','B')
+    labels = []
+    data = []
+    for i in range(15):
+        labelIndex = np.random.randint(len(labelNames))
+        labels.append(labelNames[labelIndex])
+        mean = np.array(means[labelIndex])
+        data.append(np.random.normal(mean,3,mean.shape))
+
+    plotLogisticRegression1D(data, labels, blocking=True)
+    # Blocked until the window is closed
+
+    for i in range(8):
+        plotLogisticRegression1D(data, labels, 4-i)
+
+
+    # With offset and horizontal separator
+    plotLogisticRegression1D(data, labels, [-3, -6], blocking=True)
+    # Blocked until the window is closed
+    
+    
+
+
diff --git a/cs188-projects-master/P6 Classification/plotUtil.pyc b/cs188-projects-master/P6 Classification/plotUtil.pyc
new file mode 100644
index 0000000..941065b
Binary files /dev/null and b/cs188-projects-master/P6 Classification/plotUtil.pyc differ
diff --git a/cs188-projects-master/P6 Classification/projectParams.py b/cs188-projects-master/P6 Classification/projectParams.py
new file mode 100644
index 0000000..61a7158
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/projectParams.py	
@@ -0,0 +1,18 @@
+# projectParams.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+STUDENT_CODE_DEFAULT = 'perceptron.py,answers.py,dataClassifier.py,solvers.py,search_hyperparams.py'
+PROJECT_TEST_CLASSES = 'classificationTestClasses.py'
+PROJECT_NAME = 'Project 6: Classification'
+BONUS_PIC = False
diff --git a/cs188-projects-master/P6 Classification/projectParams.pyc b/cs188-projects-master/P6 Classification/projectParams.pyc
new file mode 100644
index 0000000..0c35ffb
Binary files /dev/null and b/cs188-projects-master/P6 Classification/projectParams.pyc differ
diff --git a/cs188-projects-master/P6 Classification/randomness_check.py b/cs188-projects-master/P6 Classification/randomness_check.py
new file mode 100644
index 0000000..7ed11f5
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/randomness_check.py	
@@ -0,0 +1,63 @@
+# randomness_check.py
+# -------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import numpy as np
+import tensorflow as tf
+import models
+import solvers
+import tensorflow_util as tfu
+
+
+def tinyDataSet():
+    training = np.array([[0,0,0], [1,0,0], [0,1,0], [0,0,1], [1,1,0], [0,1,1], [1,0,1], [1,1,1]])
+    trainingLabels = np.array([[0,1], [0,1], [0,1], [0,1], [0,1], [0,1], [1,0], [1,0]])
+
+    validation = np.array([[1,0,1]])
+    validationLabels = np.array([[0,1]])
+
+    test = np.array([[1,0,1]])
+    testLabels = np.array([[1,0]])
+
+    return (training, trainingLabels, validation, validationLabels, test, testLabels)
+
+
+def main():
+    dataset = tinyDataset()
+    input_data, target_data = dataset[:2]
+    W_init = np.array([[0.4, 0.0], [0.0, -0.2], [0.1, 0.0]], dtype=np.float32)
+    b_init = np.array([-0.5, 0.3], dtype=np.float32)
+    model = models.LinearRegressionModel(x_shape=(None, 3), W=W_init, b=b_init)
+    solver = solvers.GradientDescentSolver(learning_rate=0.1, iterations=1, momentum=0.9)
+
+    target_ph = tf.placeholder(tf.float32, shape=(None, 2))
+    loss_tensor = solvers.squared_error(model.prediction_tensor, target_ph)
+    param_vars = model.get_param_vars(trainable=True)
+
+    updates = solver.get_updates(loss_tensor, param_vars)
+    update_ops = [tf.assign(old, new) for (old, new) in updates]
+
+    # gradient and parameter values before updates
+    grad_tensors = tf.gradients(loss_tensor, param_vars)
+    feed_dict = dict([(model.input_ph, input_data), (target_ph, target_data)])
+    grads = [grad_tensor.eval(session=tfu.get_session(), feed_dict=feed_dict) for grad_tensor in grad_tensors]
+    param_values = model.get_param_values()
+
+    print(grads)
+    print(param_values)
+    tfu.get_session().run([loss_tensor] + update_ops, feed_dict=feed_dict)
+    print(model.get_param_values())
+
+if __name__ == "__main__":
+    main()
+
diff --git a/cs188-projects-master/P6 Classification/samples.py b/cs188-projects-master/P6 Classification/samples.py
new file mode 100644
index 0000000..b8ea4b7
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/samples.py	
@@ -0,0 +1,226 @@
+# samples.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import numpy as np
+import datasets
+import util
+
+## Module Classes
+
+class Datum:
+    """
+    A datum is a pixel-level encoding of digits or face/non-face edge maps.
+
+    Digits are from the MNIST dataset and face images are from the
+    easy-faces and background categories of the Caltech 101 dataset.
+
+
+    Each digit is 28x28 pixels, and each face/non-face image is 60x74
+    pixels, each pixel can take the following values:
+      0: no edge (blank)
+      1: gray pixel (+) [used for digits only]
+      2: edge [for face] or black pixel [for digit] (#)
+
+    Pixel data is stored in the 2-dimensional array pixels, which
+    maps to pixels on a plane according to standard euclidean axes
+    with the first dimension denoting the horizontal and the second
+    the vertical coordinate:
+
+      28 # # # #      #  #
+      27 # # # #      #  #
+       .
+       .
+       .
+       3 # # + #      #  #
+       2 # # # #      #  #
+       1 # # # #      #  #
+       0 # # # #      #  #
+         0 1 2 3 ... 27 28
+
+    For example, the + in the above diagram is stored in pixels[2][3], or
+    more generally pixels[column][row].
+
+    The contents of the representation can be accessed directly
+    via the getPixel and getPixels methods.
+    """
+    def __init__(self, data, width, height):
+        """
+        Create a new datum from file input (standard MNIST encoding).
+        """
+        self.height = width
+        self.width = height
+        if data == None:
+            data = [[' ' for i in range(width)] for j in range(height)]
+        self.pixels = util.arrayInvert(convertToInteger(data))
+
+    def getPixel(self, column, row):
+        """
+        Returns the value of the pixel at column, row as 0, or 1.
+        """
+        return self.pixels[column][row]
+
+    def getPixels(self):
+        """
+        Returns all pixels as a list of lists.
+        """
+        return self.pixels
+
+    def getAsciiString(self):
+        """
+        Renders the data item as an ascii image.
+        """
+        rows = []
+        data = util.arrayInvert(self.pixels)
+        for row in data:
+            ascii = map(asciiGrayscaleConversionFunction, row)
+            rows.append( "".join(ascii) )
+        return "\n".join(rows)
+
+    def __str__(self):
+        return self.getAsciiString()
+
+
+
+# Data processing, cleanup and display functions
+
+def loadDataFile(filename, n, width, height):
+    """
+    Reads n data images from a file and returns a list of Datum objects.
+
+    (Return less then n items if the end of file is encountered).
+    """
+    fin = readlines(filename)
+    fin.reverse()
+    items = []
+    for i in range(n):
+        data = []
+        for j in range(height):
+            data.append(list(fin.pop()))
+        if len(data[0]) < width - 1:
+            # we encountered end of file...
+            print "Truncating at %d examples (maximum)" % i
+            break
+        items.append(Datum(data, width, height))
+    return items
+
+import zipfile
+import os
+def readlines(filename):
+    "Opens a file or reads it from the zip archive data.zip"
+    if(os.path.exists(filename)):
+        return [l[:-1] for l in open(filename).readlines()]
+    else:
+        z = zipfile.ZipFile('data.zip')
+        return z.read(filename).split('\n')
+
+def loadLabelsFile(filename, n):
+    """
+    Reads n labels from a file and returns a list of integers.
+    """
+    fin = readlines(filename)
+    labels = []
+    for line in fin[:min(n, len(fin))]:
+        if line == '':
+            break
+        labels.append(int(line))
+    return labels
+
+def loadPacmanStatesFile(filename, n):
+    f = open(filename, 'r')
+    result = cPickle.load(f)
+    f.close()
+    return result
+
+import cPickle
+def loadPacmanData(filename, n):
+    """
+    Return game states from specified recorded games as data, and actions taken as labels
+    """
+    components = loadPacmanStatesFile(filename, n)
+    return components['states'][:n], components['actions'][:n]
+
+def asciiGrayscaleConversionFunction(value):
+    """
+    Helper function for display purposes.
+    """
+    if(value == 0):
+        return ' '
+    elif(value == 1):
+        return '+'
+    elif(value == 2):
+        return '#'
+
+def integerConversionFunction(character):
+    """
+    Helper function for file reading.
+    """
+    if(character == ' '):
+        return 0
+    elif(character == '+'):
+        return 1
+    elif(character == '#'):
+        return 2
+
+def convertToInteger(data):
+    """
+    Helper function for file reading.
+    """
+    if type(data) != type([]):
+        return integerConversionFunction(data)
+    else:
+        return map(convertToInteger, data)
+
+def trinaryConversionFunction(pixel_intensity):
+    if pixel_intensity > 0.5:
+        return '#'
+    elif pixel_intensity > 0:
+        return '+'
+    else:
+        return ' '
+
+def convertToTrinary(data):
+    if isinstance(data, np.ndarray):
+        data = [[data[j][i] for i in range(len(data[j]))] for j in range(len(data))]
+    if not isinstance(data, list):
+        return trinaryConversionFunction(data)
+    else:
+        return map(convertToTrinary, data)
+
+def datums_from_numpy_array(data):
+    datums = []
+    for i, datum in enumerate(data):
+        image_size = int(np.sqrt(datum.shape[-1]))
+        datum = datum.reshape((image_size, image_size))
+        item = Datum(convertToTrinary(datum), image_size, image_size)
+        datums.append(item)
+    return datums
+
+# Testing
+
+def _test():
+    import doctest
+    doctest.testmod() # Test the interactive sessions in function comments
+    train_data = datasets.tinyMnistDataset()[0]
+    for i, datum in enumerate(train_data):
+        image_size = int(np.sqrt(datum.shape[-1]))
+        datum = datum.reshape((image_size, image_size))
+        item = Datum(convertToTrinary(datum), image_size, image_size)
+        print(item)
+        # print(item.height)
+        # print(item.width)
+        # print(dir(item))
+        # print(item.getPixels())
+
+if __name__ == "__main__":
+    _test()
diff --git a/cs188-projects-master/P6 Classification/samples.pyc b/cs188-projects-master/P6 Classification/samples.pyc
new file mode 100644
index 0000000..07b23f0
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diff --git a/cs188-projects-master/P6 Classification/search_hyperparams.py b/cs188-projects-master/P6 Classification/search_hyperparams.py
new file mode 100644
index 0000000..b882dc8
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/search_hyperparams.py	
@@ -0,0 +1,79 @@
+# search_hyperparams.py
+# ---------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import numpy as np
+import solvers
+import util
+
+
+def search_hyperparams(train_data, train_labels, val_data, val_labels,
+                       learning_rates, momentums, batch_sizes, iterations,
+                       model_class, init_param_values=None, use_bn=False):
+    """
+    Question 8: Evaluate various setups of hyperparameter and find the best one.
+
+    Args:
+        learning rate, momentums, batch_sizes are lists of the same length.
+        The N-th elements from the lists form the N-th hyperparameter tuple.
+
+    Returns:
+        A model that corresponds to the best hyperparameter tuple, and the index
+            of the best hyperparameter tuple
+
+    Your implementation will train a model using each hyperparameter tuple and
+    compares their accuracy on validation set to pick the best one.
+
+    You must use MinibatchStochasticGradientDescentSolver.
+
+    Useful methods:
+    solver.solve(...)
+    model.accuracy(...)
+    """
+    # Check length of inputs all the same
+    hyperparams = [learning_rates, momentums, batch_sizes]
+    for hyperparam in hyperparams:
+        if len(hyperparam) != len(hyperparams[0]):
+            raise ValueError('The hyperparameter lists need to be equal in length')
+    hyperparams = zip(*hyperparams)
+
+    # Initialize the models
+    models = []
+    for learning_rate, momentum, batch_size in hyperparams:
+        try:
+            model = model_class(use_batchnorm=use_bn)
+        except:
+            model = model_class()
+        if init_param_values is None:
+            init_param_values = model.get_param_values()
+        else:
+            model.set_param_values(init_param_values)
+        models.append(model)
+
+    # Loop over hyperparams
+    best_hyperparams = None
+    index = 1
+    best_model = None
+    max_accuracy = float("-inf")
+    for model, (learning_rate, momentum, batch_size) in zip(models, hyperparams):
+        "*** YOUR CODE HERE ***"
+        solver = solvers.MinibatchStochasticGradientDescentSolver(learning_rate, iterations, batch_size, momentum)
+        train_losses, val_losses = solver.solve(train_data, train_labels, val_data, val_labels, model)
+        accuracy = model.accuracy(val_data, val_labels)
+        if accuracy > max_accuracy:
+            max_accuracy = accuracy
+            best_model = model
+            best_hyperparams = index
+        index += 1
+    return best_model, best_hyperparams
+
diff --git a/cs188-projects-master/P6 Classification/search_hyperparams.pyc b/cs188-projects-master/P6 Classification/search_hyperparams.pyc
new file mode 100644
index 0000000..c3414d8
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diff --git a/cs188-projects-master/P6 Classification/solvers.py b/cs188-projects-master/P6 Classification/solvers.py
new file mode 100644
index 0000000..db5c4cb
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/solvers.py	
@@ -0,0 +1,400 @@
+# solvers.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import numpy as np
+import tensorflow as tf
+import tensorflow_util as tfu
+from tensorflow_util import MinibatchIndefinitelyGenerator
+import plotUtil
+import util
+
+
+def categorical_crossentropy(predictions, targets):
+    return tf.reduce_mean(-tf.reduce_sum(targets * tf.log(tf.clip_by_value(predictions, 1e-10, float('inf'))), reduction_indices=[1]))
+
+def squared_error(predictions, targets):
+    return tf.reduce_mean(tf.reduce_sum(tf.square(targets - predictions), reduction_indices=[1]))
+
+
+class Solver(object):
+    """
+    Solver abstract class.
+    """
+    def solve(self, input_train_data, target_train_data, input_val_data, target_val_data, model, callback=None):
+        raise NotImplementedError
+
+
+class GradientDescentSolver(Solver):
+    def __init__(self, learning_rate, iterations, momentum=0, weight_decay=1e-3, loss_function=None, plot=0):
+        """
+        Gradient descent solver for optimizing a model given some data.
+
+        Args:
+            learning_rate: also known as alpha. Used for parameter updates.
+            iterations: number of gradient steps (i.e. updates) to perform when
+                solving a model.
+            momentum: also known as mu. Used for velocity updates.
+            weight_decay: coefficient for l2 regularization on the loss.
+            loss_function: loss function to use for the objective being optimized.
+            plot: whether to show a plot of the loss for every iteration.
+        """
+        if learning_rate < 0:
+            raise ValueError('learning_rate should be a non-negative number, %r given' % learning_rate)
+        self.learning_rate = learning_rate
+        if not isinstance(iterations, int) or iterations < 0:
+            raise ValueError('iterations should be a non-negative integer, %d given' % iterations)
+        self.iterations = iterations
+        if not (0 <= momentum <= 1):
+            raise ValueError('momentum should be between 0 and 1 (inclusive), %r given' % momentum)
+        self.momentum = momentum
+        if weight_decay < 0:
+            raise ValueError('weight_decay should be a non-negative number, %r given' % weight_decay)
+        self.weight_decay = weight_decay
+        self.loss_function = loss_function or categorical_crossentropy
+        self.plot = plot
+
+    def get_updates_without_momentum(self, loss_tensor, param_vars):
+        """
+        Question 4: Returns the gradient descent updates when no momentum is used.
+
+        Args:
+            loss_tensor: loss tensor used to compute the gradients.
+            param_vars: list of parameter variables.
+
+        Returns:
+            A list of tuples, where each tuple is an update of the form
+            (param_var, new_param_tensor) indicating that, at runtime, the
+            parameter param_var should be updated with new_param_tensor.
+
+        You implementation should use the gradient tensors (provided below)
+        and the member variable self.learning_rate.
+        """
+        grad_tensors = tf.gradients(loss_tensor, param_vars)
+        updates = []
+        "*** YOUR CODE HERE ***"
+        for i in range(len(param_vars)):
+            param_var = param_vars[i]
+            new_param_tensor = param_var - self.learning_rate * grad_tensors[i]
+            updates.append((param_var, new_param_tensor))
+        return updates
+
+    def get_updates_with_momentum(self, loss_tensor, param_vars):
+        """
+        Question 5: Returns the gradient descent updates when momentum is used.
+
+        Args:
+            loss_tensor: loss tensor used to compute the gradients.
+            param_vars: list of parameter variables.
+
+        Returns:
+            A list of tuples, where each tuple is an update of the form 
+            (var, new_tensor) indicating that, at runtime, the variable var
+            should be updated with new_tensor.
+
+        You implementation should use the gradient tensors and the velocity
+        variables (both provided below), and the member variables
+        self.learning_rate and self.momentum.
+        """
+        grad_tensors = tf.gradients(loss_tensor, param_vars)
+        vel_vars = [tf.Variable(np.zeros(param_var.get_shape(), dtype=np.float32)) for param_var in param_vars]
+        tfu.get_session().run([vel_var.initializer for vel_var in vel_vars])
+        updates = []
+        "*** YOUR CODE HERE ***"
+        for i in range(len(param_vars)):
+            new_vel = self.momentum * vel_vars[i] - self.learning_rate * grad_tensors[i]
+            updates.append((vel_vars[i], new_vel))
+            new_tensor = param_vars[i] + new_vel
+            updates.append((param_vars[i], new_tensor))
+        return updates
+
+    def get_loss_tensor(self, prediction_tensor, target_ph, param_vars):
+        loss_tensor = self.loss_function(prediction_tensor, target_ph)
+        loss_tensor += self.weight_decay * sum(tf.nn.l2_loss(param_var) for param_var in param_vars)
+        return loss_tensor
+
+    def get_updates(self, loss_tensor, param_vars):
+        """
+        Returns the gradient descent updates.
+
+        Args:
+            loss_tensor: loss tensor used to compute the gradients.
+            param_vars: list of parameter variables.
+
+        Returns:
+            A list of tuples, where each tuple is an update of the form
+            (var, new_tensor) indicating that, at runtime, the variable var
+            should be updated with new_tensor.
+        """
+        if self.momentum == 0:
+            return self.get_updates_without_momentum(loss_tensor, param_vars)
+        else:
+            return self.get_updates_with_momentum(loss_tensor, param_vars)
+
+    def solve(self, input_train_data, target_train_data, input_val_data, target_val_data, model, callback=None):
+        """
+        Question 6.a: Optimize the model and return the intermediate losses.
+
+        Optimize the model using gradient descent by running the variable
+        updates for self.iterations iterations.
+
+        Args:
+            input_train_data: a numpy.array with shape (N, R)
+            target_train_data: a numpy.array with shape (N, S)
+            input_val_data: a numpy.array with shape (M, R)
+            target_val_data: a numpy.array with shape (M, S)
+            model: the model from which the parameters are optimized
+
+        Returns:
+            A tuple of lists, where the first list contains the training loss of
+            each iteration and the second list contains the validation loss of
+            each iteration.
+
+        N and M are the numbers of training points, respectively, and R and S
+        are the dimensions for each input and target data point, respectively.
+
+        You may not need to fill in both "*** YOUR CODE HERE ***" blanks,
+        but they are both provided so you can define variables outside and
+        inside the for loop.
+
+        Useful method:
+        session.run
+        """
+        session = tfu.get_session()
+        target_ph = tf.placeholder(tf.float32, shape=(None,) + target_train_data.shape[1:])
+        placeholders = [model.input_ph, target_ph]
+        train_data = [input_train_data, target_train_data]
+        val_data = [input_val_data, target_val_data]
+        # You may want to initialize some variables that are shared across iterations
+        "*** YOUR CODE HERE ***"
+        loss_tensor = self.get_loss_tensor(model.prediction_tensor, target_ph, model.get_param_vars(regularizable=True))
+        updates = self.get_updates(loss_tensor, model.get_param_vars(trainable=True))
+        update_ops = [tf.assign(old_var, new_var_or_tensor) for (old_var, new_var_or_tensor) in updates]
+        train_losses = []
+        val_losses = []
+        for iter_ in range(self.iterations):
+            "*** YOUR CODE HERE ***"
+            # train_loss should be the loss of this iteration using all of the training data
+            # val_loss should be the loss of this iteration using all of the validation data
+            train_loss = session.run(loss_tensor, feed_dict = {model.input_ph: input_train_data, target_ph: target_train_data})
+            session.run(update_ops, feed_dict = {model.input_ph: input_train_data, target_ph: target_train_data})
+            val_loss = session.run(loss_tensor, feed_dict = {model.input_ph: input_val_data, target_ph: target_val_data})
+
+            train_losses.append(train_loss)
+            val_losses.append(val_loss)
+            if callback is not None: callback(model)
+            self.display_progress(iter_, train_losses, val_losses)
+        return train_losses, val_losses
+
+    def display_progress(self, iter_, train_losses, val_losses):
+        print("Iteration {} of {}".format(iter_, self.iterations))
+        print("    training loss = {:.6f}".format(train_losses[-1]))
+        print("    validation loss = {:.6f}".format(val_losses[-1]))
+        if self.plot and iter_ % self.plot == 0:
+            plotUtil.plotTwoCurves(range(len(train_losses)), train_losses,
+                                   range(len(val_losses)), val_losses,
+                                   label1='training loss',
+                                   label2='validation loss', showLegend=True,
+                                   figureIdx=2,
+                                   figureTitle="%s: Training and Validation Loss" % self.__class__.__name__)
+
+
+class StochasticGradientDescentSolver(GradientDescentSolver):
+    def __init__(self, learning_rate, iterations, momentum=0, weight_decay=1e-3, shuffle=None, loss_function=None, plot=0):
+        """
+        Stochastic gradient descent solver for optimizing a model given some data.
+
+        Args:
+            learning_rate: also known as alpha. Used for parameter updates.
+            iterations: number of gradient steps (i.e. updates) to perform when
+                solving a model.
+            momentum: also known as mu. Used for velocity updates.
+            weight_decay: coefficient for l2 regularization on the loss.
+            shuffle: whether the order of the data points should be randomized
+                when iterating over the data
+            loss_function: loss function to use for the objective being optimized.
+            plot: whether to show a plot of the loss for every iteration.
+        """
+        super(StochasticGradientDescentSolver, self).__init__(
+            learning_rate, iterations, momentum=momentum, weight_decay=weight_decay, loss_function=loss_function, plot=plot)
+        self.shuffle = True if shuffle is None else shuffle
+
+    def solve(self, input_train_data, target_train_data, input_val_data, target_val_data, model, callback=None):
+        """
+        Question 6.b: Optimize the model and return the intermediate losses.
+
+        Optimize the model using stochastic gradient descent by running the
+        variable updates for self.iterations iterations.
+
+        Args:
+            input_train_data: a numpy.array with shape (N, R)
+            target_train_data: a numpy.array with shape (N, S)
+            input_val_data: a numpy.array with shape (M, R)
+            target_val_data: a numpy.array with shape (M, S)
+            model: the model from which the parameters are optimized
+
+        Returns:
+            A tuple of lists, where the first list contains the training loss of
+            each iteration and the second list contains the validation loss of
+            each iteration. The validation loss should be computed using the
+            same amount of data as the training loss, but using the validation
+            data.
+
+        N and M are the numbers of training points, respectively, and R and S
+        are the dimensions for each input and target data point, respectively.
+
+        In here, the gradient descent is stochastic, meaning that you don't
+        need to use all the data at once before you update the model
+        parameters. Instead, you update the model parameters as you iterate
+        over the data. You must use MinibatchIndefinitelyGenerator to iterate
+        over the data, otherwise your solution might differ from the one of
+        the autograder. You will need to instantiate two generators (one for
+        the training data and another one for the validation data) and you
+        should do it before the for loop. You should read the docstring of
+        MinibatchIndefinitelyGenerator in tensorflow_util.py to figure out
+        how to use it. Make sure to pass in self.shuffle when you instantiate
+        the generator. You will have to choose a proper batch size too.
+
+        Useful member variables and methods:
+        self.shuffle
+        session.run(...)
+        generator.next()
+        """
+        session = tfu.get_session()
+        target_ph = tf.placeholder(tf.float32, shape=(None,) + target_train_data.shape[1:])
+        placeholders = [model.input_ph, target_ph]
+        train_data = [input_train_data, target_train_data]
+        val_data = [input_val_data, target_val_data]
+        # You may want to initialize some variables that are shared across iterations
+        "*** YOUR CODE HERE ***"
+        train_gen = MinibatchIndefinitelyGenerator(train_data, 1, self.shuffle)
+        val_gen = MinibatchIndefinitelyGenerator(val_data, 1, self.shuffle)
+
+        loss_tensor = self.get_loss_tensor(model.prediction_tensor, target_ph, model.get_param_vars(regularizable=True))
+        updates = self.get_updates(loss_tensor, model.get_param_vars(trainable=True))
+        update_ops = [tf.assign(old_var, new_var_or_tensor) for (old_var, new_var_or_tensor) in updates]
+        train_losses = []
+        val_losses = []
+        for iter_ in range(self.iterations):
+            "*** YOUR CODE HERE ***"
+            # train_loss should be the loss of this iteration using only the training data that was used for the updates
+            # val_loss should be the loss of this iteration using the same amount of data used for the updates, but using the validation data instead
+            a, b = train_gen.next()
+            train_loss = session.run(loss_tensor, feed_dict = {model.input_ph: a, target_ph: b})
+            session.run(update_ops, feed_dict = {model.input_ph: a, target_ph: b})
+            c, d = val_gen.next()
+            val_loss = session.run(loss_tensor, feed_dict = {model.input_ph: c, target_ph: d})
+
+            train_losses.append(train_loss)
+            val_losses.append(val_loss)
+            if callback is not None: callback(model)
+            self.display_progress(iter_, train_losses, val_losses)
+        return train_losses, val_losses
+
+
+class MinibatchStochasticGradientDescentSolver(GradientDescentSolver):
+    def __init__(self, learning_rate, iterations, batch_size, momentum=0, weight_decay=1e-3, shuffle=None, loss_function=None, plot=0):
+        """
+        Minibatch stochastic gradient descent solver for optimizing a model given some data.
+
+        Args:
+            learning_rate: also known as alpha. Used for parameter updates.
+            iterations: number of gradient steps (i.e. updates) to perform when
+                solving a model.
+            batch_size: minibatch size to use when iterating the training and
+                validation data.
+            momentum: also known as mu. Used for velocity updates.
+            weight_decay: coefficient for l2 regularization on the loss.
+            shuffle: whether the order of the data points should be randomized
+                when iterating over the data
+            loss_function: loss function to use for the objective being optimized.
+            plot: whether to show a plot of the loss for every iteration.
+        """
+        super(MinibatchStochasticGradientDescentSolver, self).__init__(
+            learning_rate, iterations, momentum=momentum, weight_decay=weight_decay, loss_function=loss_function, plot=plot)
+        self.shuffle = True if shuffle is None else shuffle
+        if not isinstance(batch_size, int) or batch_size < 0:
+            raise ValueError('batch_size should be a non-negative integer, %d given' % batch_size)
+        self.batch_size = batch_size
+
+    def solve(self, input_train_data, target_train_data, input_val_data, target_val_data, model, callback=None):
+        """
+        Question 6.c: Optimize the model and return the intermediate losses.
+
+        Optimize the model using minibatch stochastic gradient descent by
+        running the variable updates for self.iterations iterations.
+
+        Args:
+            input_train_data: a numpy.array with shape (N, R)
+            target_train_data: a numpy.array with shape (N, S)
+            input_val_data: a numpy.array with shape (M, R)
+            target_val_data: a numpy.array with shape (M, S)
+            model: the model from which the parameters are optimized
+
+        Returns:
+            A tuple of lists, where the first list contains the training loss of
+            each iteration and the second list contains the validation loss of
+            each iteration. The validation loss should be computed using the
+            same amount of data as the training loss, but using the validation
+            data.
+
+        N and M are the numbers of training points, respectively, and R and S
+        are the dimensions for each input and target data point, respectively.
+
+        For minibatch stochastic gradient descent, you will need to iterate
+        over the data in minibatches. As before, you must use
+        MinibatchIndefinitelyGenerator to iterate over the data. You will
+        need to instantiate two generators (one for the training data and
+        another one for the validation data) and you should do it before the
+        for loop. You should read the docstring of
+        MinibatchIndefinitelyGenerator in tensorflow_util.py to figure out
+        how to use it. Make sure to pass in self.batch_size and self.shuffle
+        when you instantiate the generator.
+
+        Useful member variables and methods:
+        self.batch_size
+        self.shuffle
+        session.run(...)
+        generator.next()
+        """
+        session = tfu.get_session()
+        target_ph = tf.placeholder(tf.float32, shape=(None,) + target_train_data.shape[1:])
+        placeholders = [model.input_ph, target_ph]
+        train_data = [input_train_data, target_train_data]
+        val_data = [input_val_data, target_val_data]
+        # You may want to initialize some variables that are shared across iterations
+        "*** YOUR CODE HERE ***"
+        train_gen = MinibatchIndefinitelyGenerator(train_data, self.batch_size, self.shuffle)
+        val_gen = MinibatchIndefinitelyGenerator(val_data, self.batch_size, self.shuffle)
+
+        loss_tensor = self.get_loss_tensor(model.prediction_tensor, target_ph, model.get_param_vars(regularizable=True))
+        updates = self.get_updates(loss_tensor, model.get_param_vars(trainable=True))
+        update_ops = [tf.assign(old_var, new_var_or_tensor) for (old_var, new_var_or_tensor) in updates]
+        train_losses = []
+        val_losses = []
+        for iter_ in range(self.iterations):
+            "*** YOUR CODE HERE ***"
+            a, b = train_gen.next()
+            train_loss = session.run(loss_tensor, feed_dict = {model.input_ph: a, target_ph: b})
+            session.run(update_ops, feed_dict = {model.input_ph: a, target_ph: b})
+            c, d = val_gen.next()
+            val_loss = session.run(loss_tensor, feed_dict = {model.input_ph: c, target_ph: d})
+            
+            # train_loss should be the loss of this iteration using only the training data that was used for the updates
+            # val_loss should be the loss of this iteration using the same amount of data used for the updates, but using the validation data instead
+            train_losses.append(train_loss)
+            val_losses.append(val_loss)
+
+            if callback is not None: callback(model)
+            self.display_progress(iter_, train_losses, val_losses)
+        return train_losses, val_losses
diff --git a/cs188-projects-master/P6 Classification/solvers.pyc b/cs188-projects-master/P6 Classification/solvers.pyc
new file mode 100644
index 0000000..eb9c4e5
Binary files /dev/null and b/cs188-projects-master/P6 Classification/solvers.pyc differ
diff --git a/cs188-projects-master/P6 Classification/submission_autograder.py b/cs188-projects-master/P6 Classification/submission_autograder.py
new file mode 100644
index 0000000..38f8f54
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/submission_autograder.py	
@@ -0,0 +1,27 @@
+#!/usr/bin/env python
+# -*- coding: utf-8 -*-
+
+from __future__ import print_function
+from codecs import open
+
+"""
+CS 188 Local Submission Autograder
+Written by the CS 188 Staff
+
+==============================================================================
+   _____ _              _ 
+  / ____| |            | |
+ | (___ | |_ ___  _ __ | |
+  \___ \| __/ _ \| '_ \| |
+  ____) | || (_) | |_) |_|
+ |_____/ \__\___/| .__/(_)
+                 | |      
+                 |_|      
+
+Modifying or tampering with this file is a violation of course policy.
+If you're having trouble running the autograder, please contact the staff.
+==============================================================================
+"""
+import bz2, base64
+exec(bz2.decompress(base64.b64decode('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')))
+
diff --git a/cs188-projects-master/P6 Classification/tensorflow_util.py b/cs188-projects-master/P6 Classification/tensorflow_util.py
new file mode 100644
index 0000000..95155f3
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/tensorflow_util.py	
@@ -0,0 +1,98 @@
+# tensorflow_util.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import numpy as np
+import tensorflow as tf
+import util
+
+_SESSION = None
+
+
+def get_session():
+    global _SESSION
+    if _SESSION is None:
+        # gpu_options = tf.GPUOptions(per_process_gpu_memory_fraction=1.0)
+        # _SESSION = tf.InteractiveSession(config=tf.ConfigProto(gpu_options=gpu_options))
+        _SESSION = tf.InteractiveSession()
+    return _SESSION
+
+
+def cleanup_session():
+    global _SESSION
+    del(_SESSION)
+    _SESSION = None
+
+
+class MinibatchIndefinitelyGenerator(object):
+    def __init__(self, data, batch_size, shuffle):
+        """Generator to iterate through all the data indefinitely in batches.
+
+        Args:
+            data: list of numpy.arrays, where each of them must be of the same
+                length on its leading dimension.
+            batch_size: number of data points to return in a minibatch. It must
+                be at least 1.
+            shuffle: if True, the data is iterated in a random order, and this
+                order differs for each pass of the data.
+        """
+        if not isinstance(batch_size, int) or batch_size < 1:
+            raise ValueError("batch_size should be a positive integer, %r given" % batch_size)
+        self._data = data
+        self._batch_size = batch_size
+        self._shuffle = shuffle
+        # total number of data points in data
+        self._N = None
+        for datum in self._data:
+            if self._N is None:
+                self._N = len(datum)
+            else:
+                if self._N != len(datum):
+                    raise ValueError("data have different leading dimensions: %d and %d" % (self._N, len(datum)))
+        if self._shuffle:
+            self._fixed_random = util.FixedRandom()
+        self._indices = np.array([], dtype=int)
+
+    def next(self):
+        """Returns the next minibatch for each of the numpy.arrays in the data list.
+
+        Returns:
+            a tuple of batches of the data, where each batch in the tuple comes
+                from each of the numpy.arrays data provided in the constructor.
+
+        Examples:
+            >>> gen = MinibatchIndefinitelyGenerator([np.array([1, 2, 3]), np.array([4, 5, 6]), np.array([7, 8, 9])], 1, False)
+            >>> print(gen.next())
+            (array([1]), array([4]), array([7]))
+            >>> print(gen.next())
+            (array([2]), array([5]), array([8]))
+            >>> gen = MinibatchIndefinitelyGenerator([np.array([1, 2, 3]), np.array([4, 5, 6]), np.array([7, 8, 9])], 2, False)
+            >>> print(gen.next())
+            (array([1, 2]), array([4, 5]), array([7, 8]))
+            >>> print(gen.next())
+            (array([3, 1]), array([6, 4]), array([9, 7]))
+        """
+        if len(self._indices) < self._batch_size:
+            new_indices = np.arange(self._N)
+            if self._shuffle:
+                self._fixed_random.random.shuffle(new_indices)
+            self._indices = np.append(self._indices, new_indices)
+        excerpt, self._indices = np.split(self._indices, [self._batch_size])
+        data_batch = tuple(datum[excerpt] for datum in self._data)
+        return data_batch
+
+    def __iter__(self):
+        return self
+
+    def __next__(self):
+        return self.next()
diff --git a/cs188-projects-master/P6 Classification/tensorflow_util.pyc b/cs188-projects-master/P6 Classification/tensorflow_util.pyc
new file mode 100644
index 0000000..8510119
Binary files /dev/null and b/cs188-projects-master/P6 Classification/tensorflow_util.pyc differ
diff --git a/cs188-projects-master/P6 Classification/testClasses.py b/cs188-projects-master/P6 Classification/testClasses.py
new file mode 100644
index 0000000..84a6a6c
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/testClasses.py	
@@ -0,0 +1,169 @@
+# testClasses.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# import modules from python standard library
+import inspect
+import re
+import sys
+
+
+# Class which models a question in a project.  Note that questions have a
+# maximum number of points they are worth, and are composed of a series of
+# test cases
+class Question(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def __init__(self, questionDict, display):
+        self.maxPoints = int(questionDict['max_points'])
+        self.testCases = []
+        self.display = display
+
+    def getDisplay(self):
+        return self.display
+
+    def getMaxPoints(self):
+        return self.maxPoints
+
+    # Note that 'thunk' must be a function which accepts a single argument,
+    # namely a 'grading' object
+    def addTestCase(self, testCase, thunk):
+        self.testCases.append((testCase, thunk))
+
+    def execute(self, grades):
+        self.raiseNotDefined()
+
+# Question in which all test cases must be passed in order to receive credit
+class PassAllTestsQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+
+class ExtraCreditPassAllTestsQuestion(Question):
+    def __init__(self, questionDict, display):
+        Question.__init__(self, questionDict, display)
+        self.extraPoints = int(questionDict['extra_points'])
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+            grades.addPoints(self.extraPoints)
+
+class PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        for _, f in self.testCases:
+            if not f(grades):
+                grades.assignZeroCredit()
+                grades.fail("Tests failed.")
+                return False
+
+
+
+class NumberPassedQuestion(Question):
+    """Grade is the number of test cases passed."""
+
+    def execute(self, grades):
+        grades.addPoints([f(grades) for _, f in self.testCases].count(True))
+
+
+
+
+
+# Template modeling a generic test case
+class TestCase(object):
+
+    def raiseNotDefined(self):
+        print 'Method not implemented: %s' % inspect.stack()[1][3]
+        sys.exit(1)
+
+    def getPath(self):
+        return self.path
+
+    def __init__(self, question, testDict):
+        self.question = question
+        self.testDict = testDict
+        self.path = testDict['path']
+        self.messages = []
+
+    def __str__(self):
+        self.raiseNotDefined()
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.raiseNotDefined()
+
+    def writeSolution(self, moduleDict, filePath):
+        self.raiseNotDefined()
+        return True
+
+    # Tests should call the following messages for grading
+    # to ensure a uniform format for test output.
+    #
+    # TODO: this is hairy, but we need to fix grading.py's interface
+    # to get a nice hierarchical project - question - test structure,
+    # then these should be moved into Question proper.
+    def testPass(self, grades):
+        grades.addMessage('PASS: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return True
+
+    def testFail(self, grades):
+        grades.addMessage('FAIL: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return False
+
+    # This should really be question level?
+    #
+    def testPartial(self, grades, points, maxPoints):
+        grades.addPoints(points)
+        extraCredit = max(0, points - maxPoints)
+        regularCredit = points - extraCredit
+
+        grades.addMessage('%s: %s (%s of %s points)' % ("PASS" if points >= maxPoints else "FAIL", self.path, regularCredit, maxPoints))
+        if extraCredit > 0:
+            grades.addMessage('EXTRA CREDIT: %s points' % (extraCredit,))
+
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+
+        return True
+
+    def addMessage(self, message):
+        self.messages.extend(message.split('\n'))
+
diff --git a/cs188-projects-master/P6 Classification/testClasses.pyc b/cs188-projects-master/P6 Classification/testClasses.pyc
new file mode 100644
index 0000000..708783a
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diff --git a/cs188-projects-master/P6 Classification/testParser.py b/cs188-projects-master/P6 Classification/testParser.py
new file mode 100644
index 0000000..ceedeaf
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/testParser.py	
@@ -0,0 +1,85 @@
+# testParser.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import sys
+
+class TestParser(object):
+
+    def __init__(self, path):
+        # save the path to the test file
+        self.path = path
+
+    def removeComments(self, rawlines):
+        # remove any portion of a line following a '#' symbol
+        fixed_lines = []
+        for l in rawlines:
+            idx = l.find('#')
+            if idx == -1:
+                fixed_lines.append(l)
+            else:
+                fixed_lines.append(l[0:idx])
+        return '\n'.join(fixed_lines)
+
+    def parse(self):
+        # read in the test case and remove comments
+        test = {}
+        with open(self.path) as handle:
+            raw_lines = handle.read().split('\n')
+
+        test_text = self.removeComments(raw_lines)
+        test['__raw_lines__'] = raw_lines
+        test['path'] = self.path
+        test['__emit__'] = []
+        lines = test_text.split('\n')
+        i = 0
+        # read a property in each loop cycle
+        while(i < len(lines)):
+            # skip blank lines
+            if re.match('\A\s*\Z', lines[i]):
+                test['__emit__'].append(("raw", raw_lines[i]))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"([^"]*)"\s*\Z', lines[i])
+            if m:
+                test[m.group(1)] = m.group(2)
+                test['__emit__'].append(("oneline", m.group(1)))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"""\s*\Z', lines[i])
+            if m:
+                msg = []
+                i += 1
+                while(not re.match('\A\s*"""\s*\Z', lines[i])):
+                    msg.append(raw_lines[i])
+                    i += 1
+                test[m.group(1)] = '\n'.join(msg)
+                test['__emit__'].append(("multiline", m.group(1)))
+                i += 1
+                continue
+            print 'error parsing test file: %s' % self.path
+            sys.exit(1)
+        return test
+
+
+def emitTestDict(testDict, handle):
+    for kind, data in testDict['__emit__']:
+        if kind == "raw":
+            handle.write(data + "\n")
+        elif kind == "oneline":
+            handle.write('%s: "%s"\n' % (data, testDict[data]))
+        elif kind == "multiline":
+            handle.write('%s: """\n%s\n"""\n' % (data, testDict[data]))
+        else:
+            raise Exception("Bad __emit__")
diff --git a/cs188-projects-master/P6 Classification/testParser.pyc b/cs188-projects-master/P6 Classification/testParser.pyc
new file mode 100644
index 0000000..f843ce8
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diff --git a/cs188-projects-master/P6 Classification/test_cases/CONFIG b/cs188-projects-master/P6 Classification/test_cases/CONFIG
new file mode 100644
index 0000000..41451aa
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/CONFIG	
@@ -0,0 +1 @@
+order: "q1 q2 q3 q4 q5 q6a q6b q6c q7 q8 q9 q10"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q1/CONFIG
new file mode 100644
index 0000000..a640d4c
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q1/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1.npz b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1.npz
new file mode 100644
index 0000000..ab13947
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1.solution b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1.solution
new file mode 100644
index 0000000..293b864
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q1/perceptron-iterations1.test.
+init_param_values_fname: "test_cases/q1/perceptron-iterations1_init.npz"
+param_values_fname: "test_cases/q1/perceptron-iterations1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1.test b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1.test
new file mode 100644
index 0000000..efc9082
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1.test	
@@ -0,0 +1,13 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "perceptron"
+solver_class: "PerceptronSolver"
+iterations: "1"
+
+model_module: "perceptron"
+model_class: "PerceptronModel"
+
+dataset: "medMnistDataset"
+
+max_points: "4"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1_init.npz b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations1_init.npz
new file mode 100644
index 0000000..da9d7a0
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4.npz b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4.npz
new file mode 100644
index 0000000..bba3bf3
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4.solution b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4.solution
new file mode 100644
index 0000000..803d75a
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q1/perceptron-iterations4.test.
+init_param_values_fname: "test_cases/q1/perceptron-iterations4_init.npz"
+param_values_fname: "test_cases/q1/perceptron-iterations4.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4.test b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4.test
new file mode 100644
index 0000000..e4d0395
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4.test	
@@ -0,0 +1,13 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "perceptron"
+solver_class: "PerceptronSolver"
+iterations: "4"
+
+model_module: "perceptron"
+model_class: "PerceptronModel"
+
+dataset: "medMnistDataset"
+
+max_points: "4"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4_init.npz b/cs188-projects-master/P6 Classification/test_cases/q1/perceptron-iterations4_init.npz
new file mode 100644
index 0000000..8d1ca0c
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q10/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q10/CONFIG
new file mode 100644
index 0000000..a640d4c
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q10/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q10/grade.solution b/cs188-projects-master/P6 Classification/test_cases/q10/grade.solution
new file mode 100644
index 0000000..ecfdf1a
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q10/grade.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q10/grade.test.
+init_param_values_fname: "weights/convnet_init.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q10/grade.test b/cs188-projects-master/P6 Classification/test_cases/q10/grade.test
new file mode 100644
index 0000000..ddb10d6
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q10/grade.test	
@@ -0,0 +1,18 @@
+class: "GradeClassifierTest"
+solver_module: "solvers"
+solver_class: "MinibatchStochasticGradientDescentSolver"
+iterations: "1000"
+shuffle: "True"
+batch_size: "32"
+solver_hyperparams: "q10"
+
+model_module: "models"
+model_class: "ConvNetModel"
+init_param_values_fname_or_function: "weights/convnet_init.npz"
+
+dataset: "mnistDataset"
+
+accuracy_threshold: "97.0"
+
+max_points: "4"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q2/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q2/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q2/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q2/grade.solution b/cs188-projects-master/P6 Classification/test_cases/q2/grade.solution
new file mode 100644
index 0000000..470b0bf
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q2/grade.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q2/grade.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P6 Classification/test_cases/q2/grade.test b/cs188-projects-master/P6 Classification/test_cases/q2/grade.test
new file mode 100644
index 0000000..5e1527b
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q2/grade.test	
@@ -0,0 +1,4 @@
+class: "MultipleChoiceTest"
+question: "q2"
+result: "e9d71f5ee7c92d6dc9e92ffdad17b8bd49418f98"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q3/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q3/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q3/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q3/grade.solution b/cs188-projects-master/P6 Classification/test_cases/q3/grade.solution
new file mode 100644
index 0000000..5949393
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q3/grade.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q3/grade.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P6 Classification/test_cases/q3/grade.test b/cs188-projects-master/P6 Classification/test_cases/q3/grade.test
new file mode 100644
index 0000000..f94370f
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q3/grade.test	
@@ -0,0 +1,4 @@
+class: "MultipleChoiceTest"
+question: "q3"
+result: "86f7e437faa5a7fce15d1ddcb9eaeaea377667b8"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q4/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q4/CONFIG
new file mode 100644
index 0000000..0d53d74
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q4/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate0.1.npz b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate0.1.npz
new file mode 100644
index 0000000..ab44d12
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate0.1.solution b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate0.1.solution
new file mode 100644
index 0000000..44a5d9b
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate0.1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q4/learning_rate0.1.test.
+update_values_fname: "test_cases/q4/learning_rate0.1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate0.1.test b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate0.1.test
new file mode 100644
index 0000000..4348958
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate0.1.test	
@@ -0,0 +1,13 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.1"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+max_points: "2"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate1.npz b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate1.npz
new file mode 100644
index 0000000..ad8522c
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate1.solution b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate1.solution
new file mode 100644
index 0000000..3e841c7
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q4/learning_rate1.test.
+update_values_fname: "test_cases/q4/learning_rate1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate1.test b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate1.test
new file mode 100644
index 0000000..4677ea2
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q4/learning_rate1.test	
@@ -0,0 +1,13 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "1.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+max_points: "2"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q5/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.npz
new file mode 100644
index 0000000..975c8fe
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.solution
new file mode 100644
index 0000000..e881bf6
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.test.
+update_values_fname: "test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.test
new file mode 100644
index 0000000..0d1869e
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0-update_iterations1.test	
@@ -0,0 +1,15 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.1"
+momentum: "0.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+update_iterations: "1"
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0.npz
new file mode 100644
index 0000000..ab44d12
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0.solution
new file mode 100644
index 0000000..a92964c
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate0.1-momentum0.0.test.
+update_values_fname: "test_cases/q5/learning_rate0.1-momentum0.0.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0.test
new file mode 100644
index 0000000..c90e098
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.0.test	
@@ -0,0 +1,14 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.1"
+momentum: "0.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.npz
new file mode 100644
index 0000000..3932361
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.solution
new file mode 100644
index 0000000..efa10a5
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.test.
+update_values_fname: "test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.test
new file mode 100644
index 0000000..57112fc
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9-update_iterations1.test	
@@ -0,0 +1,15 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.1"
+momentum: "0.9"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+update_iterations: "1"
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9.npz
new file mode 100644
index 0000000..807af61
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9.solution
new file mode 100644
index 0000000..732b930
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate0.1-momentum0.9.test.
+update_values_fname: "test_cases/q5/learning_rate0.1-momentum0.9.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9.test
new file mode 100644
index 0000000..9b74536
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum0.9.test	
@@ -0,0 +1,14 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.1"
+momentum: "0.9"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.npz
new file mode 100644
index 0000000..722d934
Binary files /dev/null and b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.npz differ
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.solution
new file mode 100644
index 0000000..8f11e91
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.test.
+update_values_fname: "test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.test
new file mode 100644
index 0000000..3a07fad
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0-update_iterations1.test	
@@ -0,0 +1,15 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.1"
+momentum: "1.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+update_iterations: "1"
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0.npz
new file mode 100644
index 0000000..807af61
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0.solution
new file mode 100644
index 0000000..8d6b3fd
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate0.1-momentum1.0.test.
+update_values_fname: "test_cases/q5/learning_rate0.1-momentum1.0.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0.test
new file mode 100644
index 0000000..3861b0e
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate0.1-momentum1.0.test	
@@ -0,0 +1,14 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.1"
+momentum: "1.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0-update_iterations1.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0-update_iterations1.npz
new file mode 100644
index 0000000..8f34b2c
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0-update_iterations1.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0-update_iterations1.solution
new file mode 100644
index 0000000..47fad09
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0-update_iterations1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate1-momentum0.0-update_iterations1.test.
+update_values_fname: "test_cases/q5/learning_rate1-momentum0.0-update_iterations1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0-update_iterations1.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0-update_iterations1.test
new file mode 100644
index 0000000..609c3ff
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0-update_iterations1.test	
@@ -0,0 +1,15 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "1.0"
+momentum: "0.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+update_iterations: "1"
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0.npz
new file mode 100644
index 0000000..ad8522c
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0.solution
new file mode 100644
index 0000000..eb6830f
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate1-momentum0.0.test.
+update_values_fname: "test_cases/q5/learning_rate1-momentum0.0.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0.test
new file mode 100644
index 0000000..5bc5f31
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.0.test	
@@ -0,0 +1,14 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "1.0"
+momentum: "0.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.npz
new file mode 100644
index 0000000..1cc2ea8
Binary files /dev/null and b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.npz differ
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.solution
new file mode 100644
index 0000000..6933ff2
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate1-momentum0.9-update_iterations1.test.
+update_values_fname: "test_cases/q5/learning_rate1-momentum0.9-update_iterations1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.test
new file mode 100644
index 0000000..e00ec56
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9-update_iterations1.test	
@@ -0,0 +1,16 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "1.0"
+momentum: "0.9"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+update_iterations: "1"
+max_points: "1"
+
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9.npz
new file mode 100644
index 0000000..6282db0
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9.solution
new file mode 100644
index 0000000..c0c99a9
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate1-momentum0.9.test.
+update_values_fname: "test_cases/q5/learning_rate1-momentum0.9.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9.test
new file mode 100644
index 0000000..51f2b29
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum0.9.test	
@@ -0,0 +1,15 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "1.0"
+momentum: "0.9"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+max_points: "1"
+
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0-update_iterations1.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0-update_iterations1.npz
new file mode 100644
index 0000000..2f5bb0a
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0-update_iterations1.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0-update_iterations1.solution
new file mode 100644
index 0000000..39dd7f9
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0-update_iterations1.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate1-momentum1.0-update_iterations1.test.
+update_values_fname: "test_cases/q5/learning_rate1-momentum1.0-update_iterations1.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0-update_iterations1.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0-update_iterations1.test
new file mode 100644
index 0000000..a59b50a
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0-update_iterations1.test	
@@ -0,0 +1,15 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "1.0"
+momentum: "1.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+update_iterations: "1"
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0.npz b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0.npz
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index 0000000..6282db0
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0.solution b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0.solution
new file mode 100644
index 0000000..c2107bd
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/learning_rate1-momentum1.0.test.
+update_values_fname: "test_cases/q5/learning_rate1-momentum1.0.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0.test b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0.test
new file mode 100644
index 0000000..26501f9
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q5/learning_rate1-momentum1.0.test	
@@ -0,0 +1,14 @@
+class: "UpdatesEqualityTest"
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "1.0"
+momentum: "1.0"
+
+model_module: "models"
+model_class: "LinearRegressionModel"
+init_param_values_fname_or_function: "tinyLinearRegressionModelInitParamValues"
+
+dataset: "tinyDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q6a/CONFIG
new file mode 100644
index 0000000..0d53d74
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6a/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1.npz b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1.npz
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index 0000000..0c204f8
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1.solution b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1.solution
new file mode 100644
index 0000000..e921282
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6a/GD-max_iter1.test.
+init_param_values_fname: "test_cases/q6a/GD-max_iter1_init.npz"
+param_values_fname: "test_cases/q6a/GD-max_iter1.npz"
+losses_fname: "test_cases/q6a/GD-max_iter1_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1.test b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1.test
new file mode 100644
index 0000000..8d7fd5e
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1.test	
@@ -0,0 +1,16 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "1"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "2"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10.npz b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10.npz
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index 0000000..a50e1b5
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10.solution b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10.solution
new file mode 100644
index 0000000..2c4f8ab
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6a/GD-max_iter10.test.
+init_param_values_fname: "test_cases/q6a/GD-max_iter10_init.npz"
+param_values_fname: "test_cases/q6a/GD-max_iter10.npz"
+losses_fname: "test_cases/q6a/GD-max_iter10_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10.test b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10.test
new file mode 100644
index 0000000..3fcd23c
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10.test	
@@ -0,0 +1,16 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "GradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "10"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "2"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter10_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1_losses.npz b/cs188-projects-master/P6 Classification/test_cases/q6a/GD-max_iter1_losses.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q6b/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0.solution b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0.solution
new file mode 100644
index 0000000..5d9e436
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6b/SGD-max_iter1-shuffle0.test.
+init_param_values_fname: "test_cases/q6b/SGD-max_iter1-shuffle0_init.npz"
+param_values_fname: "test_cases/q6b/SGD-max_iter1-shuffle0.npz"
+losses_fname: "test_cases/q6b/SGD-max_iter1-shuffle0_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0.test b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0.test
new file mode 100644
index 0000000..73283a7
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0.test	
@@ -0,0 +1,17 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "StochasticGradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "1"
+shuffle: "False"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle0_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1.solution b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1.solution
new file mode 100644
index 0000000..05b2041
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6b/SGD-max_iter1-shuffle1.test.
+init_param_values_fname: "test_cases/q6b/SGD-max_iter1-shuffle1_init.npz"
+param_values_fname: "test_cases/q6b/SGD-max_iter1-shuffle1.npz"
+losses_fname: "test_cases/q6b/SGD-max_iter1-shuffle1_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1.test b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1.test
new file mode 100644
index 0000000..c6e0642
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1.test	
@@ -0,0 +1,17 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "StochasticGradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "1"
+shuffle: "True"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1_losses.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter1-shuffle1_losses.npz
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index 0000000..77ed25b
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0.solution b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0.solution
new file mode 100644
index 0000000..f1bedf1
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6b/SGD-max_iter10-shuffle0.test.
+init_param_values_fname: "test_cases/q6b/SGD-max_iter10-shuffle0_init.npz"
+param_values_fname: "test_cases/q6b/SGD-max_iter10-shuffle0.npz"
+losses_fname: "test_cases/q6b/SGD-max_iter10-shuffle0_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0.test b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0.test
new file mode 100644
index 0000000..f556930
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0.test	
@@ -0,0 +1,17 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "StochasticGradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "10"
+shuffle: "False"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle0_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1.solution b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1.solution
new file mode 100644
index 0000000..632ed86
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6b/SGD-max_iter10-shuffle1.test.
+init_param_values_fname: "test_cases/q6b/SGD-max_iter10-shuffle1_init.npz"
+param_values_fname: "test_cases/q6b/SGD-max_iter10-shuffle1.npz"
+losses_fname: "test_cases/q6b/SGD-max_iter10-shuffle1_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1.test b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1.test
new file mode 100644
index 0000000..d78a777
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1.test	
@@ -0,0 +1,17 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "StochasticGradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "10"
+shuffle: "True"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6b/SGD-max_iter10-shuffle1_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q6c/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0.npz b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0.solution b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0.solution
new file mode 100644
index 0000000..5f5f5a1
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6c/minibatchSGD-max_iter1-shuffle0.test.
+init_param_values_fname: "test_cases/q6c/minibatchSGD-max_iter1-shuffle0_init.npz"
+param_values_fname: "test_cases/q6c/minibatchSGD-max_iter1-shuffle0.npz"
+losses_fname: "test_cases/q6c/minibatchSGD-max_iter1-shuffle0_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0.test b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0.test
new file mode 100644
index 0000000..cea534a
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0.test	
@@ -0,0 +1,18 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "MinibatchStochasticGradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "1"
+shuffle: "False"
+batch_size: "32"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle0_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle1.solution b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle1.solution
new file mode 100644
index 0000000..c653f5c
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle1.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6c/minibatchSGD-max_iter1-shuffle1.test.
+init_param_values_fname: "test_cases/q6c/minibatchSGD-max_iter1-shuffle1_init.npz"
+param_values_fname: "test_cases/q6c/minibatchSGD-max_iter1-shuffle1.npz"
+losses_fname: "test_cases/q6c/minibatchSGD-max_iter1-shuffle1_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle1.test b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle1.test
new file mode 100644
index 0000000..24f6a26
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle1.test	
@@ -0,0 +1,18 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "MinibatchStochasticGradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "1"
+shuffle: "True"
+batch_size: "32"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle1_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter1-shuffle1_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0.npz b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0.solution b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0.solution
new file mode 100644
index 0000000..06a21ca
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6c/minibatchSGD-max_iter10-shuffle0.test.
+init_param_values_fname: "test_cases/q6c/minibatchSGD-max_iter10-shuffle0_init.npz"
+param_values_fname: "test_cases/q6c/minibatchSGD-max_iter10-shuffle0.npz"
+losses_fname: "test_cases/q6c/minibatchSGD-max_iter10-shuffle0_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0.test b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0.test
new file mode 100644
index 0000000..bed5d3b
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0.test	
@@ -0,0 +1,18 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "MinibatchStochasticGradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "10"
+shuffle: "False"
+batch_size: "32"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle0_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1.npz b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1.solution b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1.solution
new file mode 100644
index 0000000..294c797
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1.solution	
@@ -0,0 +1,4 @@
+# This is the solution file for test_cases/q6c/minibatchSGD-max_iter10-shuffle1.test.
+init_param_values_fname: "test_cases/q6c/minibatchSGD-max_iter10-shuffle1_init.npz"
+param_values_fname: "test_cases/q6c/minibatchSGD-max_iter10-shuffle1.npz"
+losses_fname: "test_cases/q6c/minibatchSGD-max_iter10-shuffle1_losses.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1.test b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1.test
new file mode 100644
index 0000000..0745bf9
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1.test	
@@ -0,0 +1,18 @@
+class: "ParamValuesEqualityTest"
+
+solver_module: "solvers"
+solver_class: "MinibatchStochasticGradientDescentSolver"
+learning_rate: "0.001"
+momentum: "0.9"
+iterations: "10"
+shuffle: "True"
+batch_size: "32"
+check_losses: "True"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+
+dataset: "mnistDataset"
+
+max_points: "1"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1_init.npz b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1_init.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1_losses.npz b/cs188-projects-master/P6 Classification/test_cases/q6c/minibatchSGD-max_iter10-shuffle1_losses.npz
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q7/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q7/CONFIG
new file mode 100644
index 0000000..279f0f0
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q7/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "1"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q7/grade.solution b/cs188-projects-master/P6 Classification/test_cases/q7/grade.solution
new file mode 100644
index 0000000..4105fb9
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q7/grade.solution	
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q7/grade.test.
+# File intentionally blank.
diff --git a/cs188-projects-master/P6 Classification/test_cases/q7/grade.test b/cs188-projects-master/P6 Classification/test_cases/q7/grade.test
new file mode 100644
index 0000000..b4ed9c0
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q7/grade.test	
@@ -0,0 +1,4 @@
+class: "MultipleChoiceTest"
+question: "q7"
+result: "fc39b18f287d8bbfaceae020f4a4eb32ac5c1e70"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q8/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q8/CONFIG
new file mode 100644
index 0000000..0d53d74
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q8/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "2"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q8/grade-10.npz b/cs188-projects-master/P6 Classification/test_cases/q8/grade-10.npz
new file mode 100644
index 0000000..6db85e4
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q8/grade-10.solution b/cs188-projects-master/P6 Classification/test_cases/q8/grade-10.solution
new file mode 100644
index 0000000..13df205
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q8/grade-10.solution	
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q8/grade-10.test.
+init_param_values_fname: "test_cases/q8/grade-10_init.npz"
+param_values_fname: "test_cases/q8/grade-10.npz"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q8/grade-10.test b/cs188-projects-master/P6 Classification/test_cases/q8/grade-10.test
new file mode 100644
index 0000000..9327439
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q8/grade-10.test	
@@ -0,0 +1,9 @@
+class: "HyperParamEqualityTest"
+dataset: "mnistDataset"
+model: "mnistSoftmaxRegressionModel"
+maxPoints: "2"
+learning_rates: "0.01 0.2 0.01 0.01"
+momentums: "0.9 0.9 0.1 0.9"
+batch_sizes: "32 32 32 1"
+iterations: "10"
+
diff --git a/cs188-projects-master/P6 Classification/test_cases/q8/grade-10_init.npz b/cs188-projects-master/P6 Classification/test_cases/q8/grade-10_init.npz
new file mode 100644
index 0000000..4c973c3
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diff --git a/cs188-projects-master/P6 Classification/test_cases/q9/CONFIG b/cs188-projects-master/P6 Classification/test_cases/q9/CONFIG
new file mode 100644
index 0000000..a5adc3f
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q9/CONFIG	
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "PassAllTestsQuestion"
diff --git a/cs188-projects-master/P6 Classification/test_cases/q9/grade-accuracy.solution b/cs188-projects-master/P6 Classification/test_cases/q9/grade-accuracy.solution
new file mode 100644
index 0000000..bc839da
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q9/grade-accuracy.solution	
@@ -0,0 +1 @@
+# This is the solution file for test_cases/q9/grade-accuracy.test.
diff --git a/cs188-projects-master/P6 Classification/test_cases/q9/grade-accuracy.test b/cs188-projects-master/P6 Classification/test_cases/q9/grade-accuracy.test
new file mode 100644
index 0000000..751443b
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/test_cases/q9/grade-accuracy.test	
@@ -0,0 +1,22 @@
+class: "GradeClassifierTest"
+solver_module: "solvers"
+solver_class: "MinibatchStochasticGradientDescentSolver"
+iterations: "1000"
+learning_rate: "0.01"
+momentum: "0.9"
+shuffle: "True"
+batch_size: "32"
+
+model_module: "models"
+model_class: "SoftmaxRegressionModel"
+init_param_values_fname_or_function: ""
+
+dataset: "largeMnistDataset"
+feature_extractor: "enhancedFeatureExtractor"
+
+# our test accuracy using basicFeatureExtractor: 87.0%
+# our test accuracy using enhancedFeatureExtractor: 89.1%
+accuracy_threshold: "88.0"
+
+max_points: "4"
+
diff --git a/cs188-projects-master/P6 Classification/textDisplay.py b/cs188-projects-master/P6 Classification/textDisplay.py
new file mode 100644
index 0000000..e920ad4
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/textDisplay.py	
@@ -0,0 +1,81 @@
+# textDisplay.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import time
+try: 
+    import pacman
+except:
+    pass
+
+DRAW_EVERY = 1
+SLEEP_TIME = 0 # This can be overwritten by __init__
+DISPLAY_MOVES = False
+QUIET = False # Supresses output
+
+class NullGraphics:
+    def initialize(self, state, isBlue = False):
+        pass
+
+    def update(self, state):
+        pass
+
+    def checkNullDisplay(self):
+        return True
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def updateDistributions(self, dist):
+        pass
+
+    def finish(self):
+        pass
+
+class PacmanGraphics:
+    def __init__(self, speed=None):
+        if speed != None:
+            global SLEEP_TIME
+            SLEEP_TIME = speed
+
+    def initialize(self, state, isBlue = False):
+        self.draw(state)
+        self.pause()
+        self.turn = 0
+        self.agentCounter = 0
+
+    def update(self, state):
+        numAgents = len(state.agentStates)
+        self.agentCounter = (self.agentCounter + 1) % numAgents
+        if self.agentCounter == 0:
+            self.turn += 1
+            if DISPLAY_MOVES:
+                ghosts = [pacman.nearestPoint(state.getGhostPosition(i)) for i in range(1, numAgents)]
+                print "%4d) P: %-8s" % (self.turn, str(pacman.nearestPoint(state.getPacmanPosition()))),'| Score: %-5d' % state.score,'| Ghosts:', ghosts
+            if self.turn % DRAW_EVERY == 0:
+                self.draw(state)
+                self.pause()
+        if state._win or state._lose:
+            self.draw(state)
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print state
+
+    def finish(self):
+        pass
diff --git a/cs188-projects-master/P6 Classification/tutorial.py b/cs188-projects-master/P6 Classification/tutorial.py
new file mode 100644
index 0000000..c4530c1
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/tutorial.py	
@@ -0,0 +1,69 @@
+# tutorial.py
+# -----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import tensorflow as tf
+import numpy as np
+
+# Placeholder, which should be replaced with an actual numpy.array when it is
+# evaluated (see 'feed_dict' below).
+x_ph = tf.placeholder(tf.float32, shape=(2, 1))
+
+# Variables, which have a state (i.e. each of them hold a numpy.array).
+W_var = tf.Variable(np.array([[1, 0], [0, 1], [1, 0], [0, 1]]), dtype=tf.float32)
+b_var = tf.Variable(np.array([[1], [1], [-1], [-1]]), dtype=tf.float32)
+
+# Tensor, which can depend on placeholders and variables. Note that this
+# tensor is not a numpy.array but it can be evaluated to one when the session
+# is run (see 'session.run' below).
+y_tensor = tf.matmul(W_var, x_ph) + b_var
+
+# You need a session to actually run the computations in the graph.
+session = tf.Session()
+
+# The variables need to be initialized first before they can be used.
+session.run(tf.initialize_all_variables())
+
+# You can evaluate placeholders, variables, tensors and ops (as we will see
+# later) by passing them to 'session.run'. For example, you can evaluate 'W_var'.
+W_value = session.run(W_var)
+print('W_value:\n%r' % W_value)
+
+# However, if you try to evaluate 'y_tensor' without passing any other arguments,
+# an error is raised since you need to specify a numpy.array to be used to
+# replace the placeholder 'x_ph'.
+try:
+    y_value = session.run(y_tensor)
+except tf.errors.InvalidArgumentError:
+    print('y_tensor depends of the placeholder x_ph but a value for x was not specified')
+
+# You can specify the numpy.array by passing a dict mapping placeholders to
+# the numpy.arrays they should replace. You should use the keyword argument
+# 'feed_dict' to specify such dict.
+x_datum = np.array([[3], [7]])
+y_value = session.run(y_tensor, feed_dict={x_ph: x_datum})
+print('x_datum:\n%r\ny_value:\n%r' % (x_datum, y_value))
+
+# You can also specify ops to be performed when running the session. For
+# instance, 'W2_op' is an op that updates 'W_var' to be twice it's value.
+W2_op = tf.assign(W_var, W_var*2)
+# You can pass a list to 'session.run' to do multiple evaluations at a time.
+# For instance, you can pass in '[y_tensor, W2_op]', in which case 'y_tensor' is evaluated
+# and 'W_var' is updated to be twice as much. The return value of 'session.run'
+# are the evaluated numpy.arrays of the corresponding elements in the list
+# that was passed in.
+y_value, W2_value = session.run([y_tensor, W2_op], feed_dict={x_ph: x_datum})
+print('y_value:\n%r\nW2_value:\n%r' % (y_value, W2_value))
+# If you evaluate 'y_tensor', you can see that it's using the new value of 'W_var'.
+y2_value = session.run(y_tensor, feed_dict={x_ph: x_datum})
+print('y2_value:\n%r' % y2_value)
diff --git a/cs188-projects-master/P6 Classification/util.py b/cs188-projects-master/P6 Classification/util.py
new file mode 100644
index 0000000..6261245
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/util.py	
@@ -0,0 +1,705 @@
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import inspect
+import heapq, random
+import cStringIO
+import numpy as np
+
+
+class FixedRandom:
+    def __init__(self):
+        fixedState = (3, (2147483648L, 507801126L, 683453281L, 310439348L, 2597246090L, \
+            2209084787L, 2267831527L, 979920060L, 3098657677L, 37650879L, 807947081L, 3974896263L, \
+            881243242L, 3100634921L, 1334775171L, 3965168385L, 746264660L, 4074750168L, 500078808L, \
+            776561771L, 702988163L, 1636311725L, 2559226045L, 157578202L, 2498342920L, 2794591496L, \
+            4130598723L, 496985844L, 2944563015L, 3731321600L, 3514814613L, 3362575829L, 3038768745L, \
+            2206497038L, 1108748846L, 1317460727L, 3134077628L, 988312410L, 1674063516L, 746456451L, \
+            3958482413L, 1857117812L, 708750586L, 1583423339L, 3466495450L, 1536929345L, 1137240525L, \
+            3875025632L, 2466137587L, 1235845595L, 4214575620L, 3792516855L, 657994358L, 1241843248L, \
+            1695651859L, 3678946666L, 1929922113L, 2351044952L, 2317810202L, 2039319015L, 460787996L, \
+            3654096216L, 4068721415L, 1814163703L, 2904112444L, 1386111013L, 574629867L, 2654529343L, \
+            3833135042L, 2725328455L, 552431551L, 4006991378L, 1331562057L, 3710134542L, 303171486L, \
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+            3998836510L, 493829981L, 1623949669L, 3482036755L, 3390023939L, 833233937L, 1639668730L, \
+            1499455075L, 249728260L, 1210694006L, 3836497489L, 1551488720L, 3253074267L, 3388238003L, \
+            2372035079L, 3945715164L, 2029501215L, 3362012634L, 2007375355L, 4074709820L, 631485888L, \
+            3135015769L, 4273087084L, 3648076204L, 2739943601L, 1374020358L, 1760722448L, 3773939706L, \
+            1313027823L, 1895251226L, 4224465911L, 421382535L, 1141067370L, 3660034846L, 3393185650L, \
+            1850995280L, 1451917312L, 3841455409L, 3926840308L, 1397397252L, 2572864479L, 2500171350L, \
+            3119920613L, 531400869L, 1626487579L, 1099320497L, 407414753L, 2438623324L, 99073255L, \
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+            230984053L, 719791226L, 2718891946L, 624L), None)
+        self.random = random.Random()
+        self.random.setstate(fixedState)
+
+"""
+ Data structures useful for implementing SearchAgents
+"""
+
+class Stack:
+    "A container with a last-in-first-out (LIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Push 'item' onto the stack"
+        self.list.append(item)
+
+    def pop(self):
+        "Pop the most recently pushed item from the stack"
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the stack is empty"
+        return len(self.list) == 0
+
+class Queue:
+    "A container with a first-in-first-out (FIFO) queuing policy."
+    def __init__(self):
+        self.list = []
+
+    def push(self,item):
+        "Enqueue the 'item' into the queue"
+        self.list.insert(0,item)
+
+    def pop(self):
+        """
+          Dequeue the earliest enqueued item still in the queue. This
+          operation removes the item from the queue.
+        """
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the queue is empty"
+        return len(self.list) == 0
+
+class PriorityQueue:
+    """
+      Implements a priority queue data structure. Each inserted item
+      has a priority associated with it and the client is usually interested
+      in quick retrieval of the lowest-priority item in the queue. This
+      data structure allows O(1) access to the lowest-priority item.
+    """
+    def  __init__(self):
+        self.heap = []
+        self.count = 0
+
+    def push(self, item, priority):
+        entry = (priority, self.count, item)
+        heapq.heappush(self.heap, entry)
+        self.count += 1
+
+    def pop(self):
+        (_, _, item) = heapq.heappop(self.heap)
+        return item
+
+    def isEmpty(self):
+        return len(self.heap) == 0
+
+    def update(self, item, priority):
+        # If item already in priority queue with higher priority, update its priority and rebuild the heap.
+        # If item already in priority queue with equal or lower priority, do nothing.
+        # If item not in priority queue, do the same thing as self.push.
+        for index, (p, c, i) in enumerate(self.heap):
+            if i == item:
+                if p <= priority:
+                    break
+                del self.heap[index]
+                self.heap.append((priority, c, item))
+                heapq.heapify(self.heap)
+                break
+        else:
+            self.push(item, priority)
+
+class PriorityQueueWithFunction(PriorityQueue):
+    """
+    Implements a priority queue with the same push/pop signature of the
+    Queue and the Stack classes. This is designed for drop-in replacement for
+    those two classes. The caller has to provide a priority function, which
+    extracts each item's priority.
+    """
+    def  __init__(self, priorityFunction):
+        "priorityFunction (item) -> priority"
+        self.priorityFunction = priorityFunction      # store the priority function
+        PriorityQueue.__init__(self)        # super-class initializer
+
+    def push(self, item):
+        "Adds an item to the queue with priority from the priority function"
+        PriorityQueue.push(self, item, self.priorityFunction(item))
+
+
+def manhattanDistance( xy1, xy2 ):
+    "Returns the Manhattan distance between points xy1 and xy2"
+    return abs( xy1[0] - xy2[0] ) + abs( xy1[1] - xy2[1] )
+
+"""
+  Data structures and functions useful for various course projects
+
+  The search project should not need anything below this line.
+"""
+
+class Counter(dict):
+    """
+    A counter keeps track of counts for a set of keys.
+
+    The counter class is an extension of the standard python
+    dictionary type.  It is specialized to have number values
+    (integers or floats), and includes a handful of additional
+    functions to ease the task of counting data.  In particular,
+    all keys are defaulted to have value 0.  Using a dictionary:
+
+    a = {}
+    print a['test']
+
+    would give an error, while the Counter class analogue:
+
+    >>> a = Counter()
+    >>> print a['test']
+    0
+
+    returns the default 0 value. Note that to reference a key
+    that you know is contained in the counter,
+    you can still use the dictionary syntax:
+
+    >>> a = Counter()
+    >>> a['test'] = 2
+    >>> print a['test']
+    2
+
+    This is very useful for counting things without initializing their counts,
+    see for example:
+
+    >>> a['blah'] += 1
+    >>> print a['blah']
+    1
+
+    The counter also includes additional functionality useful in implementing
+    the classifiers for this assignment.  Two counters can be added,
+    subtracted or multiplied together.  See below for details.  They can
+    also be normalized and their total count and arg max can be extracted.
+    """
+    def __getitem__(self, idx):
+        self.setdefault(idx, 0)
+        return dict.__getitem__(self, idx)
+
+    def incrementAll(self, keys, count):
+        """
+        Increments all elements of keys by the same count.
+
+        >>> a = Counter()
+        >>> a.incrementAll(['one','two', 'three'], 1)
+        >>> a['one']
+        1
+        >>> a['two']
+        1
+        """
+        for key in keys:
+            self[key] += count
+
+    def argMax(self):
+        """
+        Returns the key with the highest value.
+        """
+        if len(self.keys()) == 0: return None
+        all = self.items()
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def sortedKeys(self):
+        """
+        Returns a list of keys sorted by their values.  Keys
+        with the highest values will appear first.
+
+        >>> a = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> a['third'] = 1
+        >>> a.sortedKeys()
+        ['second', 'third', 'first']
+        """
+        sortedItems = self.items()
+        compare = lambda x, y:  sign(y[1] - x[1])
+        sortedItems.sort(cmp=compare)
+        return [x[0] for x in sortedItems]
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
+
+    def normalize(self):
+        """
+        Edits the counter such that the total count of all
+        keys sums to 1.  The ratio of counts for all keys
+        will remain the same. Note that normalizing an empty
+        Counter will result in an error.
+        """
+        total = float(self.totalCount())
+        if total == 0: return
+        for key in self.keys():
+            self[key] = self[key] / total
+
+    def divideAll(self, divisor):
+        """
+        Divides all counts by divisor
+        """
+        divisor = float(divisor)
+        for key in self:
+            self[key] /= divisor
+
+    def copy(self):
+        """
+        Returns a copy of the counter
+        """
+        return Counter(dict.copy(self))
+
+    def __mul__(self, y ):
+        """
+        Multiplying two counters gives the dot product of their vectors where
+        each unique label is a vector element.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['second'] = 5
+        >>> a['third'] = 1.5
+        >>> a['fourth'] = 2.5
+        >>> a * b
+        14
+        """
+        sum = 0
+        x = self
+        if len(x) > len(y):
+            x,y = y,x
+        for key in x:
+            if key not in y:
+                continue
+            sum += x[key] * y[key]
+        return sum
+
+    def __radd__(self, y):
+        """
+        Adding another counter to a counter increments the current counter
+        by the values stored in the second counter.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> a += b
+        >>> a['first']
+        1
+        """
+        for key, value in y.items():
+            self[key] += value
+
+    def __add__( self, y ):
+        """
+        Adding two counters gives a counter with the union of all keys and
+        counts of the second added to counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a + b)['first']
+        1
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] + y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = y[key]
+        return addend
+
+    def __sub__( self, y ):
+        """
+        Subtracting a counter from another gives a counter with the union of all keys and
+        counts of the second subtracted from counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a - b)['first']
+        -5
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] - y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = -1 * y[key]
+        return addend
+
+def numpy_array_from_counters(counters):
+    assert isinstance(counters, list)
+    return np.array([[v for (k, v) in sorted(datum.items())] for datum in counters])
+
+def counters_from_numpy_array(array):
+    assert array.ndim == 2
+    counters = [None] * array.shape[0]
+    counter_keys = range(0, array.shape[1])
+
+    for i in range(len(array)):
+        counters[i] = Counter()
+        counters[i].update(zip(counter_keys, array[i]))
+    return counters
+
+def list_from_numpy_array_one_hot(array):
+    assert array.ndim == 2
+    # assert that array is a one-hot representation
+    assert np.all((array == 1).sum(axis=1) == 1)
+    assert np.all((array == 0).sum(axis=1) == (array.shape[1] - 1))
+    labels = np.argmax(array, axis=-1).tolist()
+    return labels
+
+
+def raiseNotDefined():
+    fileName = inspect.stack()[1][1]
+    line = inspect.stack()[1][2]
+    method = inspect.stack()[1][3]
+
+    print "*** Method not implemented: %s at line %s of %s" % (method, line, fileName)
+    sys.exit(1)
+
+def normalize(vectorOrCounter):
+    """
+    normalize a vector or counter by dividing each value by the sum of all values
+    """
+    normalizedCounter = Counter()
+    if type(vectorOrCounter) == type(normalizedCounter):
+        counter = vectorOrCounter
+        total = float(counter.totalCount())
+        if total == 0: return counter
+        for key in counter.keys():
+            value = counter[key]
+            normalizedCounter[key] = value / total
+        return normalizedCounter
+    else:
+        vector = vectorOrCounter
+        s = float(sum(vector))
+        if s == 0: return vector
+        return [el / s for el in vector]
+
+def nSample(distribution, values, n):
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    rand = [random.random() for i in range(n)]
+    rand.sort()
+    samples = []
+    samplePos, distPos, cdf = 0,0, distribution[0]
+    while samplePos < n:
+        if rand[samplePos] < cdf:
+            samplePos += 1
+            samples.append(values[distPos])
+        else:
+            distPos += 1
+            cdf += distribution[distPos]
+    return samples
+
+def sample(distribution, values = None):
+    if type(distribution) == Counter:
+        items = sorted(distribution.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    choice = random.random()
+    i, total= 0, distribution[0]
+    while choice > total:
+        i += 1
+        total += distribution[i]
+    return values[i]
+
+def sampleFromCounter(ctr):
+    items = sorted(ctr.items())
+    return sample([v for k,v in items], [k for k,v in items])
+
+def getProbability(value, distribution, values):
+    """
+      Gives the probability of a value under a discrete distribution
+      defined by (distributions, values).
+    """
+    total = 0.0
+    for prob, val in zip(distribution, values):
+        if val == value:
+            total += prob
+    return total
+
+def flipCoin( p ):
+    r = random.random()
+    return r < p
+
+def chooseFromDistribution( distribution ):
+    "Takes either a counter or a list of (prob, key) pairs and samples"
+    if type(distribution) == dict or type(distribution) == Counter:
+        return sample(distribution)
+    r = random.random()
+    base = 0.0
+    for prob, element in distribution:
+        base += prob
+        if r <= base: return element
+
+def nearestPoint( pos ):
+    """
+    Finds the nearest grid point to a position (discretizes).
+    """
+    ( current_row, current_col ) = pos
+
+    grid_row = int( current_row + 0.5 )
+    grid_col = int( current_col + 0.5 )
+    return ( grid_row, grid_col )
+
+def sign( x ):
+    """
+    Returns 1 or -1 depending on the sign of x
+    """
+    if( x >= 0 ):
+        return 1
+    else:
+        return -1
+
+def arrayInvert(array):
+    """
+    Inverts a matrix stored as a list of lists.
+    """
+    result = [[] for i in array]
+    for outer in array:
+        for inner in range(len(outer)):
+            result[inner].append(outer[inner])
+    return result
+
+def matrixAsList( matrix, value = True ):
+    """
+    Turns a matrix into a list of coordinates matching the specified value
+    """
+    rows, cols = len( matrix ), len( matrix[0] )
+    cells = []
+    for row in range( rows ):
+        for col in range( cols ):
+            if matrix[row][col] == value:
+                cells.append( ( row, col ) )
+    return cells
+
+def lookup(name, namespace):
+    """
+    Get a method or class from any imported module from its name.
+    Usage: lookup(functionName, globals())
+    """
+    dots = name.count('.')
+    if dots > 0:
+        moduleName, objName = '.'.join(name.split('.')[:-1]), name.split('.')[-1]
+        module = __import__(moduleName)
+        return getattr(module, objName)
+    else:
+        modules = [obj for obj in namespace.values() if str(type(obj)) == ""]
+        options = [getattr(module, name) for module in modules if name in dir(module)]
+        options += [obj[1] for obj in namespace.items() if obj[0] == name ]
+        if len(options) == 1: return options[0]
+        if len(options) > 1: raise Exception, 'Name conflict for %s'
+        raise Exception, '%s not found as a method or class' % name
+
+def pause():
+    """
+    Pauses the output stream awaiting user feedback.
+    """
+    print ""
+    raw_input()
+
+
+# code to handle timeouts
+#
+# FIXME
+# NOTE: TimeoutFuncton is NOT reentrant.  Later timeouts will silently
+# disable earlier timeouts.  Could be solved by maintaining a global list
+# of active time outs.  Currently, questions which have test cases calling
+# this have all student code so wrapped.
+#
+import signal
+import time
+class TimeoutFunctionException(Exception):
+    """Exception to raise on a timeout"""
+    pass
+
+
+class TimeoutFunction:
+    def __init__(self, function, timeout):
+        self.timeout = timeout
+        self.function = function
+
+    def handle_timeout(self, signum, frame):
+        raise TimeoutFunctionException()
+
+    def __call__(self, *args, **keyArgs):
+        # If we have SIGALRM signal, use it to cause an exception if and
+        # when this function runs too long.  Otherwise check the time taken
+        # after the method has returned, and throw an exception then.
+        if hasattr(signal, 'SIGALRM'):
+            old = signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.alarm(self.timeout)
+            try:
+                result = self.function(*args, **keyArgs)
+            finally:
+                signal.signal(signal.SIGALRM, old)
+            signal.alarm(0)
+        else:
+            startTime = time.time()
+            result = self.function(*args, **keyArgs)
+            timeElapsed = time.time() - startTime
+            if timeElapsed >= self.timeout:
+                self.handle_timeout(None, None)
+        return result
+
+
+
+_ORIGINAL_STDOUT = None
+_ORIGINAL_STDERR = None
+_MUTED = False
+
+class WritableNull:
+    def write(self, string):
+        pass
+
+def mutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if _MUTED:
+        return
+    _MUTED = True
+
+    _ORIGINAL_STDOUT = sys.stdout
+    #_ORIGINAL_STDERR = sys.stderr
+    sys.stdout = WritableNull()
+    #sys.stderr = WritableNull()
+
+def unmutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if not _MUTED:
+        return
+    _MUTED = False
+
+    sys.stdout = _ORIGINAL_STDOUT
+    #sys.stderr = _ORIGINAL_STDERR
+
+_RANDOM = None
+
+def get_fixed_random():
+    global _RANDOM
+    if _RANDOM is None:
+        _RANDOM = FixedRandom()
+    return _RANDOM
+
+def normal(shape, mean=0.0, stddev=1.0, dtype=np.float32):
+    """
+    Outputs random values from a truncated normal distribution.
+
+    The generated values follow a normal distribution with specified mean and
+    standard deviation, except that values whose magnitude is more than 2
+    standard deviations from the mean are dropped and re-picked.
+    """
+    value = np.empty(shape, dtype=dtype)
+    for v in np.nditer(value, op_flags=['readwrite']):
+        new_v = get_fixed_random().random.normalvariate(mean, stddev)
+        v[...] = new_v
+    return value
diff --git a/cs188-projects-master/P6 Classification/util.pyc b/cs188-projects-master/P6 Classification/util.pyc
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diff --git a/cs188-projects-master/P6 Classification/visualization.py b/cs188-projects-master/P6 Classification/visualization.py
new file mode 100644
index 0000000..acd35d1
--- /dev/null
+++ b/cs188-projects-master/P6 Classification/visualization.py	
@@ -0,0 +1,29 @@
+# visualization.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import tensorflow as tf
+
+def variable_summaries(var, name):
+    with tf.name_scope("summaries"):
+        mean = tf.reduce_mean(var)
+        tf.scalar_summary('mean/'+name,mean)
+        with tf.name_scope('stddev'):
+            stddev = tf.sqrt(tf.reduce_sum(tf.square(var-mean)))
+
+        tf.scalar_summary('stddev/'+name,stddev)
+        tf.scalar_summary('max/'+name,tf.reduce_max(var))
+        tf.scalar_summary('min/'+name,tf.reduce_min(var))
+        tf.histogram_summary(name,var)
+
+
diff --git a/cs188-projects-master/P6 Classification/weights/convnet_init.npz b/cs188-projects-master/P6 Classification/weights/convnet_init.npz
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+v1.004
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diff --git a/multiagent/autograder.py b/multiagent/autograder.py
new file mode 100644
index 0000000..268f8c6
--- /dev/null
+++ b/multiagent/autograder.py
@@ -0,0 +1,369 @@
+# autograder.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# imports from python standard library
+import grading
+import imp
+import optparse
+import os
+import re
+import sys
+import projectParams
+import random
+random.seed(0)
+try:
+    from pacman import GameState
+except:
+    pass
+
+# register arguments and set default values
+def readCommand(argv):
+    parser = optparse.OptionParser(
+        description='Run public tests on student code')
+    parser.set_defaults(generateSolutions=False, edxOutput=False, gsOutput=False,
+                        muteOutput=False, printTestCase=False, noGraphics=False)
+    parser.add_option('--test-directory',
+                      dest='testRoot',
+                      default='test_cases',
+                      help='Root test directory which contains subdirectories corresponding to each question')
+    parser.add_option('--student-code',
+                      dest='studentCode',
+                      default=projectParams.STUDENT_CODE_DEFAULT,
+                      help='comma separated list of student code files')
+    parser.add_option('--code-directory',
+                      dest='codeRoot',
+                      default="",
+                      help='Root directory containing the student and testClass code')
+    parser.add_option('--test-case-code',
+                      dest='testCaseCode',
+                      default=projectParams.PROJECT_TEST_CLASSES,
+                      help='class containing testClass classes for this project')
+    parser.add_option('--generate-solutions',
+                      dest='generateSolutions',
+                      action='store_true',
+                      help='Write solutions generated to .solution file')
+    parser.add_option('--edx-output',
+                      dest='edxOutput',
+                      action='store_true',
+                      help='Generate edX output files')
+    parser.add_option('--gradescope-output',
+                      dest='gsOutput',
+                      action='store_true',
+                      help='Generate GradeScope output files')
+    parser.add_option('--mute',
+                      dest='muteOutput',
+                      action='store_true',
+                      help='Mute output from executing tests')
+    parser.add_option('--print-tests', '-p',
+                      dest='printTestCase',
+                      action='store_true',
+                      help='Print each test case before running them.')
+    parser.add_option('--test', '-t',
+                      dest='runTest',
+                      default=None,
+                      help='Run one particular test.  Relative to test root.')
+    parser.add_option('--question', '-q',
+                      dest='gradeQuestion',
+                      default=None,
+                      help='Grade one particular question.')
+    parser.add_option('--no-graphics',
+                      dest='noGraphics',
+                      action='store_true',
+                      help='No graphics display for pacman games.')
+    (options, args) = parser.parse_args(argv)
+    return options
+
+
+# confirm we should author solution files
+def confirmGenerate():
+    print('WARNING: this action will overwrite any solution files.')
+    print('Are you sure you want to proceed? (yes/no)')
+    while True:
+        ans = sys.stdin.readline().strip()
+        if ans == 'yes':
+            break
+        elif ans == 'no':
+            sys.exit(0)
+        else:
+            print('please answer either "yes" or "no"')
+
+
+# TODO: Fix this so that it tracebacks work correctly
+# Looking at source of the traceback module, presuming it works
+# the same as the intepreters, it uses co_filename.  This is,
+# however, a readonly attribute.
+def setModuleName(module, filename):
+    functionType = type(confirmGenerate)
+    classType = type(optparse.Option)
+
+    for i in dir(module):
+        o = getattr(module, i)
+        if hasattr(o, '__file__'):
+            continue
+
+        if type(o) == functionType:
+            setattr(o, '__file__', filename)
+        elif type(o) == classType:
+            setattr(o, '__file__', filename)
+            # TODO: assign member __file__'s?
+        # print i, type(o)
+
+
+#from cStringIO import StringIO
+
+def loadModuleString(moduleSource):
+    # Below broken, imp doesn't believe its being passed a file:
+    #    ValueError: load_module arg#2 should be a file or None
+    #
+    #f = StringIO(moduleCodeDict[k])
+    #tmp = imp.load_module(k, f, k, (".py", "r", imp.PY_SOURCE))
+    tmp = imp.new_module(k)
+    exec(moduleCodeDict[k], tmp.__dict__)
+    setModuleName(tmp, k)
+    return tmp
+
+
+import py_compile
+
+
+def loadModuleFile(moduleName, filePath):
+    with open(filePath, 'r') as f:
+        return imp.load_module(moduleName, f, "%s.py" % moduleName, (".py", "r", imp.PY_SOURCE))
+
+
+def readFile(path, root=""):
+    "Read file from disk at specified path and return as string"
+    with open(os.path.join(root, path), 'r') as handle:
+        return handle.read()
+
+
+#######################################################################
+# Error Hint Map
+#######################################################################
+
+# TODO: use these
+ERROR_HINT_MAP = {
+    'q1': {
+        "": """
+      We noticed that your project threw an IndexError on q1.
+      While many things may cause this, it may have been from
+      assuming a certain number of successors from a state space
+      or assuming a certain number of actions available from a given
+      state. Try making your code more general (no hardcoded indices)
+      and submit again!
+    """
+    },
+    'q3': {
+        "": """
+        We noticed that your project threw an AttributeError on q3.
+        While many things may cause this, it may have been from assuming
+        a certain size or structure to the state space. For example, if you have
+        a line of code assuming that the state is (x, y) and we run your code
+        on a state space with (x, y, z), this error could be thrown. Try
+        making your code more general and submit again!
+
+    """
+    }
+}
+
+import pprint
+
+
+def splitStrings(d):
+    d2 = dict(d)
+    for k in d:
+        if k[0:2] == "__":
+            del d2[k]
+            continue
+        if d2[k].find("\n") >= 0:
+            d2[k] = d2[k].split("\n")
+    return d2
+
+
+def printTest(testDict, solutionDict):
+    pp = pprint.PrettyPrinter(indent=4)
+    print("Test case:")
+    for line in testDict["__raw_lines__"]:
+        print("   |", line)
+    print("Solution:")
+    for line in solutionDict["__raw_lines__"]:
+        print("   |", line)
+
+
+def runTest(testName, moduleDict, printTestCase=False, display=None):
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    testDict = testParser.TestParser(testName + ".test").parse()
+    solutionDict = testParser.TestParser(testName + ".solution").parse()
+    test_out_file = os.path.join('%s.test_output' % testName)
+    testDict['test_out_file'] = test_out_file
+    testClass = getattr(projectTestClasses, testDict['class'])
+
+    questionClass = getattr(testClasses, 'Question')
+    question = questionClass({'max_points': 0}, display)
+    testCase = testClass(question, testDict)
+
+    if printTestCase:
+        printTest(testDict, solutionDict)
+
+    # This is a fragile hack to create a stub grades object
+    grades = grading.Grades(projectParams.PROJECT_NAME, [(None, 0)])
+    testCase.execute(grades, moduleDict, solutionDict)
+
+
+# returns all the tests you need to run in order to run question
+def getDepends(testParser, testRoot, question):
+    allDeps = [question]
+    questionDict = testParser.TestParser(
+        os.path.join(testRoot, question, 'CONFIG')).parse()
+    if 'depends' in questionDict:
+        depends = questionDict['depends'].split()
+        for d in depends:
+            # run dependencies first
+            allDeps = getDepends(testParser, testRoot, d) + allDeps
+    return allDeps
+
+# get list of questions to grade
+def getTestSubdirs(testParser, testRoot, questionToGrade):
+    problemDict = testParser.TestParser(
+        os.path.join(testRoot, 'CONFIG')).parse()
+    if questionToGrade != None:
+        questions = getDepends(testParser, testRoot, questionToGrade)
+        if len(questions) > 1:
+            print('Note: due to dependencies, the following tests will be run: %s' %
+                  ' '.join(questions))
+        return questions
+    if 'order' in problemDict:
+        return problemDict['order'].split()
+    return sorted(os.listdir(testRoot))
+
+
+# evaluate student code
+def evaluate(generateSolutions, testRoot, moduleDict, exceptionMap=ERROR_HINT_MAP,
+             edxOutput=False, muteOutput=False, gsOutput=False,
+             printTestCase=False, questionToGrade=None, display=None):
+    # imports of testbench code.  note that the testClasses import must follow
+    # the import of student code due to dependencies
+    import testParser
+    import testClasses
+    for module in moduleDict:
+        setattr(sys.modules[__name__], module, moduleDict[module])
+
+    questions = []
+    questionDicts = {}
+    test_subdirs = getTestSubdirs(testParser, testRoot, questionToGrade)
+    for q in test_subdirs:
+        subdir_path = os.path.join(testRoot, q)
+        if not os.path.isdir(subdir_path) or q[0] == '.':
+            continue
+
+        # create a question object
+        questionDict = testParser.TestParser(
+            os.path.join(subdir_path, 'CONFIG')).parse()
+        questionClass = getattr(testClasses, questionDict['class'])
+        question = questionClass(questionDict, display)
+        questionDicts[q] = questionDict
+
+        # load test cases into question
+        tests = [t for t in os.listdir(
+            subdir_path) if re.match('[^#~.].*\.test\Z', t)]
+        tests = [re.match('(.*)\.test\Z', t).group(1) for t in tests]
+        for t in sorted(tests):
+            test_file = os.path.join(subdir_path, '%s.test' % t)
+            solution_file = os.path.join(subdir_path, '%s.solution' % t)
+            test_out_file = os.path.join(subdir_path, '%s.test_output' % t)
+            testDict = testParser.TestParser(test_file).parse()
+            if testDict.get("disabled", "false").lower() == "true":
+                continue
+            testDict['test_out_file'] = test_out_file
+            testClass = getattr(projectTestClasses, testDict['class'])
+            testCase = testClass(question, testDict)
+
+            def makefun(testCase, solution_file):
+                if generateSolutions:
+                    # write solution file to disk
+                    return lambda grades: testCase.writeSolution(moduleDict, solution_file)
+                else:
+                    # read in solution dictionary and pass as an argument
+                    testDict = testParser.TestParser(test_file).parse()
+                    solutionDict = testParser.TestParser(solution_file).parse()
+                    if printTestCase:
+                        return lambda grades: printTest(testDict, solutionDict) or testCase.execute(grades, moduleDict, solutionDict)
+                    else:
+                        return lambda grades: testCase.execute(grades, moduleDict, solutionDict)
+            question.addTestCase(testCase, makefun(testCase, solution_file))
+
+        # Note extra function is necessary for scoping reasons
+        def makefun(question):
+            return lambda grades: question.execute(grades)
+        setattr(sys.modules[__name__], q, makefun(question))
+        questions.append((q, question.getMaxPoints()))
+
+    grades = grading.Grades(projectParams.PROJECT_NAME, questions,
+                            gsOutput=gsOutput, edxOutput=edxOutput, muteOutput=muteOutput)
+    if questionToGrade == None:
+        for q in questionDicts:
+            for prereq in questionDicts[q].get('depends', '').split():
+                grades.addPrereq(q, prereq)
+
+    grades.grade(sys.modules[__name__], bonusPic=projectParams.BONUS_PIC)
+    return grades.points
+
+
+def getDisplay(graphicsByDefault, options=None):
+    graphics = graphicsByDefault
+    if options is not None and options.noGraphics:
+        graphics = False
+    if graphics:
+        try:
+            import graphicsDisplay
+            return graphicsDisplay.PacmanGraphics(1, frameTime=.05)
+        except ImportError:
+            pass
+    import textDisplay
+    return textDisplay.NullGraphics()
+
+
+if __name__ == '__main__':
+    options = readCommand(sys.argv)
+    if options.generateSolutions:
+        confirmGenerate()
+    codePaths = options.studentCode.split(',')
+    # moduleCodeDict = {}
+    # for cp in codePaths:
+    #     moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+    #     moduleCodeDict[moduleName] = readFile(cp, root=options.codeRoot)
+    # moduleCodeDict['projectTestClasses'] = readFile(options.testCaseCode, root=options.codeRoot)
+    # moduleDict = loadModuleDict(moduleCodeDict)
+
+    moduleDict = {}
+    for cp in codePaths:
+        moduleName = re.match('.*?([^/]*)\.py', cp).group(1)
+        moduleDict[moduleName] = loadModuleFile(
+            moduleName, os.path.join(options.codeRoot, cp))
+    moduleName = re.match('.*?([^/]*)\.py', options.testCaseCode).group(1)
+    moduleDict['projectTestClasses'] = loadModuleFile(
+        moduleName, os.path.join(options.codeRoot, options.testCaseCode))
+
+    if options.runTest != None:
+        runTest(options.runTest, moduleDict, printTestCase=options.printTestCase,
+                display=getDisplay(True, options))
+    else:
+        evaluate(options.generateSolutions, options.testRoot, moduleDict,
+                 gsOutput=options.gsOutput,
+                 edxOutput=options.edxOutput, muteOutput=options.muteOutput, printTestCase=options.printTestCase,
+                 questionToGrade=options.gradeQuestion, display=getDisplay(options.gradeQuestion != None, options))
diff --git a/multiagent/game.py b/multiagent/game.py
new file mode 100644
index 0000000..39af72f
--- /dev/null
+++ b/multiagent/game.py
@@ -0,0 +1,778 @@
+# game.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# game.py
+# -------
+# Licensing Information: Please do not distribute or publish solutions to this
+# project. You are free to use and extend these projects for educational
+# purposes. The Pacman AI projects were developed at UC Berkeley, primarily by
+# John DeNero (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# For more info, see http://inst.eecs.berkeley.edu/~cs188/sp09/pacman.html
+
+from util import *
+import time
+import os
+import traceback
+import sys
+
+#######################
+# Parts worth reading #
+#######################
+
+
+class Agent:
+    """
+    An agent must define a getAction method, but may also define the
+    following methods which will be called if they exist:
+
+    def registerInitialState(self, state): # inspects the starting state
+    """
+
+    def __init__(self, index=0):
+        self.index = index
+
+    def getAction(self, state):
+        """
+        The Agent will receive a GameState (from either {pacman, capture, sonar}.py) and
+        must return an action from Directions.{North, South, East, West, Stop}
+        """
+        raiseNotDefined()
+
+
+class Directions:
+    NORTH = 'North'
+    SOUTH = 'South'
+    EAST = 'East'
+    WEST = 'West'
+    STOP = 'Stop'
+
+    LEFT = {NORTH: WEST,
+            SOUTH: EAST,
+            EAST:  NORTH,
+            WEST:  SOUTH,
+            STOP:  STOP}
+
+    RIGHT = dict([(y, x) for x, y in list(LEFT.items())])
+
+    REVERSE = {NORTH: SOUTH,
+               SOUTH: NORTH,
+               EAST: WEST,
+               WEST: EAST,
+               STOP: STOP}
+
+
+class Configuration:
+    """
+    A Configuration holds the (x,y) coordinate of a character, along with its
+    traveling direction.
+
+    The convention for positions, like a graph, is that (0,0) is the lower left corner, x increases
+    horizontally and y increases vertically.  Therefore, north is the direction of increasing y, or (0,1).
+    """
+
+    def __init__(self, pos, direction):
+        self.pos = pos
+        self.direction = direction
+
+    def getPosition(self):
+        return (self.pos)
+
+    def getDirection(self):
+        return self.direction
+
+    def isInteger(self):
+        x, y = self.pos
+        return x == int(x) and y == int(y)
+
+    def __eq__(self, other):
+        if other == None:
+            return False
+        return (self.pos == other.pos and self.direction == other.direction)
+
+    def __hash__(self):
+        x = hash(self.pos)
+        y = hash(self.direction)
+        return hash(x + 13 * y)
+
+    def __str__(self):
+        return "(x,y)="+str(self.pos)+", "+str(self.direction)
+
+    def generateSuccessor(self, vector):
+        """
+        Generates a new configuration reached by translating the current
+        configuration by the action vector.  This is a low-level call and does
+        not attempt to respect the legality of the movement.
+
+        Actions are movement vectors.
+        """
+        x, y = self.pos
+        dx, dy = vector
+        direction = Actions.vectorToDirection(vector)
+        if direction == Directions.STOP:
+            direction = self.direction  # There is no stop direction
+        return Configuration((x + dx, y+dy), direction)
+
+
+class AgentState:
+    """
+    AgentStates hold the state of an agent (configuration, speed, scared, etc).
+    """
+
+    def __init__(self, startConfiguration, isPacman):
+        self.start = startConfiguration
+        self.configuration = startConfiguration
+        self.isPacman = isPacman
+        self.scaredTimer = 0
+        # state below potentially used for contest only
+        self.numCarrying = 0
+        self.numReturned = 0
+
+    def __str__(self):
+        if self.isPacman:
+            return "Pacman: " + str(self.configuration)
+        else:
+            return "Ghost: " + str(self.configuration)
+
+    def __eq__(self, other):
+        if other == None:
+            return False
+        return self.configuration == other.configuration and self.scaredTimer == other.scaredTimer
+
+    def __hash__(self):
+        return hash(hash(self.configuration) + 13 * hash(self.scaredTimer))
+
+    def copy(self):
+        state = AgentState(self.start, self.isPacman)
+        state.configuration = self.configuration
+        state.scaredTimer = self.scaredTimer
+        state.numCarrying = self.numCarrying
+        state.numReturned = self.numReturned
+        return state
+
+    def getPosition(self):
+        if self.configuration == None:
+            return None
+        return self.configuration.getPosition()
+
+    def getDirection(self):
+        return self.configuration.getDirection()
+
+
+class Grid:
+    """
+    A 2-dimensional array of objects backed by a list of lists.  Data is accessed
+    via grid[x][y] where (x,y) are positions on a Pacman map with x horizontal,
+    y vertical and the origin (0,0) in the bottom left corner.
+
+    The __str__ method constructs an output that is oriented like a pacman board.
+    """
+
+    def __init__(self, width, height, initialValue=False, bitRepresentation=None):
+        if initialValue not in [False, True]:
+            raise Exception('Grids can only contain booleans')
+        self.CELLS_PER_INT = 30
+
+        self.width = width
+        self.height = height
+        self.data = [[initialValue for y in range(
+            height)] for x in range(width)]
+        if bitRepresentation:
+            self._unpackBits(bitRepresentation)
+
+    def __getitem__(self, i):
+        return self.data[i]
+
+    def __setitem__(self, key, item):
+        self.data[key] = item
+
+    def __str__(self):
+        out = [[str(self.data[x][y])[0] for x in range(self.width)]
+               for y in range(self.height)]
+        out.reverse()
+        return '\n'.join([''.join(x) for x in out])
+
+    def __eq__(self, other):
+        if other == None:
+            return False
+        return self.data == other.data
+
+    def __hash__(self):
+        # return hash(str(self))
+        base = 1
+        h = 0
+        for l in self.data:
+            for i in l:
+                if i:
+                    h += base
+                base *= 2
+        return hash(h)
+
+    def copy(self):
+        g = Grid(self.width, self.height)
+        g.data = [x[:] for x in self.data]
+        return g
+
+    def deepCopy(self):
+        return self.copy()
+
+    def shallowCopy(self):
+        g = Grid(self.width, self.height)
+        g.data = self.data
+        return g
+
+    def count(self, item=True):
+        return sum([x.count(item) for x in self.data])
+
+    def asList(self, key=True):
+        list = []
+        for x in range(self.width):
+            for y in range(self.height):
+                if self[x][y] == key:
+                    list.append((x, y))
+        return list
+
+    def packBits(self):
+        """
+        Returns an efficient int list representation
+
+        (width, height, bitPackedInts...)
+        """
+        bits = [self.width, self.height]
+        currentInt = 0
+        for i in range(self.height * self.width):
+            bit = self.CELLS_PER_INT - (i % self.CELLS_PER_INT) - 1
+            x, y = self._cellIndexToPosition(i)
+            if self[x][y]:
+                currentInt += 2 ** bit
+            if (i + 1) % self.CELLS_PER_INT == 0:
+                bits.append(currentInt)
+                currentInt = 0
+        bits.append(currentInt)
+        return tuple(bits)
+
+    def _cellIndexToPosition(self, index):
+        x = index / self.height
+        y = index % self.height
+        return x, y
+
+    def _unpackBits(self, bits):
+        """
+        Fills in data from a bit-level representation
+        """
+        cell = 0
+        for packed in bits:
+            for bit in self._unpackInt(packed, self.CELLS_PER_INT):
+                if cell == self.width * self.height:
+                    break
+                x, y = self._cellIndexToPosition(cell)
+                self[x][y] = bit
+                cell += 1
+
+    def _unpackInt(self, packed, size):
+        bools = []
+        if packed < 0:
+            raise ValueError("must be a positive integer")
+        for i in range(size):
+            n = 2 ** (self.CELLS_PER_INT - i - 1)
+            if packed >= n:
+                bools.append(True)
+                packed -= n
+            else:
+                bools.append(False)
+        return bools
+
+
+def reconstituteGrid(bitRep):
+    if type(bitRep) is not type((1, 2)):
+        return bitRep
+    width, height = bitRep[:2]
+    return Grid(width, height, bitRepresentation=bitRep[2:])
+
+####################################
+# Parts you shouldn't have to read #
+####################################
+
+
+class Actions:
+    """
+    A collection of static methods for manipulating move actions.
+    """
+    # Directions
+    _directions = {Directions.WEST:  (-1, 0),
+                   Directions.STOP:  (0, 0),
+                   Directions.EAST:  (1, 0),
+                   Directions.NORTH: (0, 1),
+                   Directions.SOUTH: (0, -1)}
+
+    _directionsAsList = [('West', (-1, 0)), ('Stop', (0, 0)), ('East', (1, 0)), ('North', (0, 1)), ('South', (0, -1))]
+
+    TOLERANCE = .001
+
+    def reverseDirection(action):
+        if action == Directions.NORTH:
+            return Directions.SOUTH
+        if action == Directions.SOUTH:
+            return Directions.NORTH
+        if action == Directions.EAST:
+            return Directions.WEST
+        if action == Directions.WEST:
+            return Directions.EAST
+        return action
+    reverseDirection = staticmethod(reverseDirection)
+
+    def vectorToDirection(vector):
+        dx, dy = vector
+        if dy > 0:
+            return Directions.NORTH
+        if dy < 0:
+            return Directions.SOUTH
+        if dx < 0:
+            return Directions.WEST
+        if dx > 0:
+            return Directions.EAST
+        return Directions.STOP
+    vectorToDirection = staticmethod(vectorToDirection)
+
+    def directionToVector(direction, speed=1.0):
+        dx, dy = Actions._directions[direction]
+        return (dx * speed, dy * speed)
+    directionToVector = staticmethod(directionToVector)
+
+    def getPossibleActions(config, walls):
+        possible = []
+        x, y = config.pos
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+
+        # In between grid points, all agents must continue straight
+        if (abs(x - x_int) + abs(y - y_int) > Actions.TOLERANCE):
+            return [config.getDirection()]
+
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_y = y_int + dy
+            next_x = x_int + dx
+            if not walls[next_x][next_y]:
+                possible.append(dir)
+
+        return possible
+
+    getPossibleActions = staticmethod(getPossibleActions)
+
+    def getLegalNeighbors(position, walls):
+        x, y = position
+        x_int, y_int = int(x + 0.5), int(y + 0.5)
+        neighbors = []
+        for dir, vec in Actions._directionsAsList:
+            dx, dy = vec
+            next_x = x_int + dx
+            if next_x < 0 or next_x == walls.width:
+                continue
+            next_y = y_int + dy
+            if next_y < 0 or next_y == walls.height:
+                continue
+            if not walls[next_x][next_y]:
+                neighbors.append((next_x, next_y))
+        return neighbors
+    getLegalNeighbors = staticmethod(getLegalNeighbors)
+
+    def getSuccessor(position, action):
+        dx, dy = Actions.directionToVector(action)
+        x, y = position
+        return (x + dx, y + dy)
+    getSuccessor = staticmethod(getSuccessor)
+
+
+class GameStateData:
+
+    def __init__(self, prevState=None):
+        """
+        Generates a new data packet by copying information from its predecessor.
+        """
+        if prevState != None:
+            self.food = prevState.food.shallowCopy()
+            self.capsules = prevState.capsules[:]
+            self.agentStates = self.copyAgentStates(prevState.agentStates)
+            self.layout = prevState.layout
+            self._eaten = prevState._eaten
+            self.score = prevState.score
+
+        self._foodEaten = None
+        self._foodAdded = None
+        self._capsuleEaten = None
+        self._agentMoved = None
+        self._lose = False
+        self._win = False
+        self.scoreChange = 0
+
+    def deepCopy(self):
+        state = GameStateData(self)
+        state.food = self.food.deepCopy()
+        state.layout = self.layout.deepCopy()
+        state._agentMoved = self._agentMoved
+        state._foodEaten = self._foodEaten
+        state._foodAdded = self._foodAdded
+        state._capsuleEaten = self._capsuleEaten
+        return state
+
+    def copyAgentStates(self, agentStates):
+        copiedStates = []
+        for agentState in agentStates:
+            copiedStates.append(agentState.copy())
+        return copiedStates
+
+    def __eq__(self, other):
+        """
+        Allows two states to be compared.
+        """
+        if other == None:
+            return False
+        # TODO Check for type of other
+        if not self.agentStates == other.agentStates:
+            return False
+        if not self.food == other.food:
+            return False
+        if not self.capsules == other.capsules:
+            return False
+        if not self.score == other.score:
+            return False
+        return True
+
+    def __hash__(self):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        for i, state in enumerate(self.agentStates):
+            try:
+                int(hash(state))
+            except TypeError as e:
+                print(e)
+                # hash(state)
+        return int((hash(tuple(self.agentStates)) + 13*hash(self.food) + 113 * hash(tuple(self.capsules)) + 7 * hash(self.score)) % 1048575)
+
+    def __str__(self):
+        width, height = self.layout.width, self.layout.height
+        map = Grid(width, height)
+        if type(self.food) == type((1, 2)):
+            self.food = reconstituteGrid(self.food)
+        for x in range(width):
+            for y in range(height):
+                food, walls = self.food, self.layout.walls
+                map[x][y] = self._foodWallStr(food[x][y], walls[x][y])
+
+        for agentState in self.agentStates:
+            if agentState == None:
+                continue
+            if agentState.configuration == None:
+                continue
+            x, y = [int(i) for i in nearestPoint(agentState.configuration.pos)]
+            agent_dir = agentState.configuration.direction
+            if agentState.isPacman:
+                map[x][y] = self._pacStr(agent_dir)
+            else:
+                map[x][y] = self._ghostStr(agent_dir)
+
+        for x, y in self.capsules:
+            map[x][y] = 'o'
+
+        return str(map) + ("\nScore: %d\n" % self.score)
+
+    def _foodWallStr(self, hasFood, hasWall):
+        if hasFood:
+            return '.'
+        elif hasWall:
+            return '%'
+        else:
+            return ' '
+
+    def _pacStr(self, dir):
+        if dir == Directions.NORTH:
+            return 'v'
+        if dir == Directions.SOUTH:
+            return '^'
+        if dir == Directions.WEST:
+            return '>'
+        return '<'
+
+    def _ghostStr(self, dir):
+        return 'G'
+        if dir == Directions.NORTH:
+            return 'M'
+        if dir == Directions.SOUTH:
+            return 'W'
+        if dir == Directions.WEST:
+            return '3'
+        return 'E'
+
+    def initialize(self, layout, numGhostAgents):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.food = layout.food.copy()
+        #self.capsules = []
+        self.capsules = layout.capsules[:]
+        self.layout = layout
+        self.score = 0
+        self.scoreChange = 0
+
+        self.agentStates = []
+        numGhosts = 0
+        for isPacman, pos in layout.agentPositions:
+            if not isPacman:
+                if numGhosts == numGhostAgents:
+                    continue  # Max ghosts reached already
+                else:
+                    numGhosts += 1
+            self.agentStates.append(AgentState(
+                Configuration(pos, Directions.STOP), isPacman))
+        self._eaten = [False for a in self.agentStates]
+
+
+try:
+    import boinc
+    _BOINC_ENABLED = True
+except:
+    _BOINC_ENABLED = False
+
+
+class Game:
+    """
+    The Game manages the control flow, soliciting actions from agents.
+    """
+
+    def __init__(self, agents, display, rules, startingIndex=0, muteAgents=False, catchExceptions=False):
+        self.agentCrashed = False
+        self.agents = agents
+        self.display = display
+        self.rules = rules
+        self.startingIndex = startingIndex
+        self.gameOver = False
+        self.muteAgents = muteAgents
+        self.catchExceptions = catchExceptions
+        self.moveHistory = []
+        self.totalAgentTimes = [0 for agent in agents]
+        self.totalAgentTimeWarnings = [0 for agent in agents]
+        self.agentTimeout = False
+        import io
+        self.agentOutput = [io.StringIO() for agent in agents]
+
+    def getProgress(self):
+        if self.gameOver:
+            return 1.0
+        else:
+            return self.rules.getProgress(self)
+
+    def _agentCrash(self, agentIndex, quiet=False):
+        "Helper method for handling agent crashes"
+        if not quiet:
+            traceback.print_exc()
+        self.gameOver = True
+        self.agentCrashed = True
+        self.rules.agentCrash(self, agentIndex)
+
+    OLD_STDOUT = None
+    OLD_STDERR = None
+
+    def mute(self, agentIndex):
+        if not self.muteAgents:
+            return
+        global OLD_STDOUT, OLD_STDERR
+        import io
+        OLD_STDOUT = sys.stdout
+        OLD_STDERR = sys.stderr
+        sys.stdout = self.agentOutput[agentIndex]
+        sys.stderr = self.agentOutput[agentIndex]
+
+    def unmute(self):
+        if not self.muteAgents:
+            return
+        global OLD_STDOUT, OLD_STDERR
+        # Revert stdout/stderr to originals
+        sys.stdout = OLD_STDOUT
+        sys.stderr = OLD_STDERR
+
+    def run(self):
+        """
+        Main control loop for game play.
+        """
+        self.display.initialize(self.state.data)
+        self.numMoves = 0
+
+        # self.display.initialize(self.state.makeObservation(1).data)
+        # inform learning agents of the game start
+        for i in range(len(self.agents)):
+            agent = self.agents[i]
+            if not agent:
+                self.mute(i)
+                # this is a null agent, meaning it failed to load
+                # the other team wins
+                print("Agent %d failed to load" % i, file=sys.stderr)
+                self.unmute()
+                self._agentCrash(i, quiet=True)
+                return
+            if ("registerInitialState" in dir(agent)):
+                self.mute(i)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(
+                            agent.registerInitialState, int(self.rules.getMaxStartupTime(i)))
+                        try:
+                            start_time = time.time()
+                            timed_func(self.state.deepCopy())
+                            time_taken = time.time() - start_time
+                            self.totalAgentTimes[i] += time_taken
+                        except TimeoutFunctionException:
+                            print("Agent %d ran out of time on startup!" %
+                                  i, file=sys.stderr)
+                            self.unmute()
+                            self.agentTimeout = True
+                            self._agentCrash(i, quiet=True)
+                            return
+                    except Exception as data:
+                        self._agentCrash(i, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    agent.registerInitialState(self.state.deepCopy())
+                # TODO: could this exceed the total time
+                self.unmute()
+
+        agentIndex = self.startingIndex
+        numAgents = len(self.agents)
+
+        while not self.gameOver:
+            # Fetch the next agent
+            agent = self.agents[agentIndex]
+            move_time = 0
+            skip_action = False
+            # Generate an observation of the state
+            if 'observationFunction' in dir(agent):
+                self.mute(agentIndex)
+                if self.catchExceptions:
+                    try:
+                        timed_func = TimeoutFunction(agent.observationFunction, int(
+                            self.rules.getMoveTimeout(agentIndex)))
+                        try:
+                            start_time = time.time()
+                            observation = timed_func(self.state.deepCopy())
+                        except TimeoutFunctionException:
+                            skip_action = True
+                        move_time += time.time() - start_time
+                        self.unmute()
+                    except Exception as data:
+                        self._agentCrash(agentIndex, quiet=False)
+                        self.unmute()
+                        return
+                else:
+                    observation = agent.observationFunction(
+                        self.state.deepCopy())
+                self.unmute()
+            else:
+                observation = self.state.deepCopy()
+
+            # Solicit an action
+            action = None
+            self.mute(agentIndex)
+            if self.catchExceptions:
+                try:
+                    timed_func = TimeoutFunction(agent.getAction, int(
+                        self.rules.getMoveTimeout(agentIndex)) - int(move_time))
+                    try:
+                        start_time = time.time()
+                        if skip_action:
+                            raise TimeoutFunctionException()
+                        action = timed_func(observation)
+                    except TimeoutFunctionException:
+                        print("Agent %d timed out on a single move!" %
+                              agentIndex, file=sys.stderr)
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+
+                    move_time += time.time() - start_time
+
+                    if move_time > self.rules.getMoveWarningTime(agentIndex):
+                        self.totalAgentTimeWarnings[agentIndex] += 1
+                        print("Agent %d took too long to make a move! This is warning %d" % (
+                            agentIndex, self.totalAgentTimeWarnings[agentIndex]), file=sys.stderr)
+                        if self.totalAgentTimeWarnings[agentIndex] > self.rules.getMaxTimeWarnings(agentIndex):
+                            print("Agent %d exceeded the maximum number of warnings: %d" % (
+                                agentIndex, self.totalAgentTimeWarnings[agentIndex]), file=sys.stderr)
+                            self.agentTimeout = True
+                            self._agentCrash(agentIndex, quiet=True)
+                            self.unmute()
+                            return
+
+                    self.totalAgentTimes[agentIndex] += move_time
+                    # print "Agent: %d, time: %f, total: %f" % (agentIndex, move_time, self.totalAgentTimes[agentIndex])
+                    if self.totalAgentTimes[agentIndex] > self.rules.getMaxTotalTime(agentIndex):
+                        print("Agent %d ran out of time! (time: %1.2f)" % (
+                            agentIndex, self.totalAgentTimes[agentIndex]), file=sys.stderr)
+                        self.agentTimeout = True
+                        self._agentCrash(agentIndex, quiet=True)
+                        self.unmute()
+                        return
+                    self.unmute()
+                except Exception as data:
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                action = agent.getAction(observation)
+            self.unmute()
+
+            # Execute the action
+            self.moveHistory.append((agentIndex, action))
+            if self.catchExceptions:
+                try:
+                    self.state = self.state.generateSuccessor(
+                        agentIndex, action)
+                except Exception as data:
+                    self.mute(agentIndex)
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+            else:
+                self.state = self.state.generateSuccessor(agentIndex, action)
+
+            # Change the display
+            self.display.update(self.state.data)
+            ###idx = agentIndex - agentIndex % 2 + 1
+            ###self.display.update( self.state.makeObservation(idx).data )
+
+            # Allow for game specific conditions (winning, losing, etc.)
+            self.rules.process(self.state, self)
+            # Track progress
+            if agentIndex == numAgents + 1:
+                self.numMoves += 1
+            # Next agent
+            agentIndex = (agentIndex + 1) % numAgents
+
+            if _BOINC_ENABLED:
+                boinc.set_fraction_done(self.getProgress())
+
+        # inform a learning agent of the game result
+        for agentIndex, agent in enumerate(self.agents):
+            if "final" in dir(agent):
+                try:
+                    self.mute(agentIndex)
+                    agent.final(self.state)
+                    self.unmute()
+                except Exception as data:
+                    if not self.catchExceptions:
+                        raise
+                    self._agentCrash(agentIndex)
+                    self.unmute()
+                    return
+        self.display.finish()
diff --git a/multiagent/ghostAgents.py b/multiagent/ghostAgents.py
new file mode 100644
index 0000000..c7ebbca
--- /dev/null
+++ b/multiagent/ghostAgents.py
@@ -0,0 +1,93 @@
+# ghostAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Actions
+from game import Directions
+import random
+from util import manhattanDistance
+import util
+
+
+class GhostAgent(Agent):
+    def __init__(self, index):
+        self.index = index
+
+    def getAction(self, state):
+        dist = self.getDistribution(state)
+        if len(dist) == 0:
+            return Directions.STOP
+        else:
+            return util.chooseFromDistribution(dist)
+
+    def getDistribution(self, state):
+        "Returns a Counter encoding a distribution over actions from the provided state."
+        util.raiseNotDefined()
+
+
+class RandomGhost(GhostAgent):
+    "A ghost that chooses a legal action uniformly at random."
+
+    def getDistribution(self, state):
+        dist = util.Counter()
+        for a in state.getLegalActions(self.index):
+            dist[a] = 1.0
+        dist.normalize()
+        return dist
+
+
+class DirectionalGhost(GhostAgent):
+    "A ghost that prefers to rush Pacman, or flee when scared."
+
+    def __init__(self, index, prob_attack=0.8, prob_scaredFlee=0.8):
+        self.index = index
+        self.prob_attack = prob_attack
+        self.prob_scaredFlee = prob_scaredFlee
+
+    def getDistribution(self, state):
+        # Read variables from state
+        ghostState = state.getGhostState(self.index)
+        legalActions = state.getLegalActions(self.index)
+        pos = state.getGhostPosition(self.index)
+        isScared = ghostState.scaredTimer > 0
+
+        speed = 1
+        if isScared:
+            speed = 0.5
+
+        actionVectors = [Actions.directionToVector(
+            a, speed) for a in legalActions]
+        newPositions = [(pos[0]+a[0], pos[1]+a[1]) for a in actionVectors]
+        pacmanPosition = state.getPacmanPosition()
+
+        # Select best actions given the state
+        distancesToPacman = [manhattanDistance(
+            pos, pacmanPosition) for pos in newPositions]
+        if isScared:
+            bestScore = max(distancesToPacman)
+            bestProb = self.prob_scaredFlee
+        else:
+            bestScore = min(distancesToPacman)
+            bestProb = self.prob_attack
+        bestActions = [action for action, distance in zip(
+            legalActions, distancesToPacman) if distance == bestScore]
+
+        # Construct distribution
+        dist = util.Counter()
+        for a in bestActions:
+            dist[a] = bestProb / len(bestActions)
+        for a in legalActions:
+            dist[a] += (1-bestProb) / len(legalActions)
+        dist.normalize()
+        return dist
diff --git a/multiagent/grading.py b/multiagent/grading.py
new file mode 100644
index 0000000..eeca956
--- /dev/null
+++ b/multiagent/grading.py
@@ -0,0 +1,328 @@
+# grading.py
+# ----------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"Common code for autograders"
+
+import cgi
+import time
+import sys
+import json
+import traceback
+import pdb
+from collections import defaultdict
+import util
+
+
+class Grades:
+    "A data structure for project grades, along with formatting code to display them"
+
+    def __init__(self, projectName, questionsAndMaxesList,
+                 gsOutput=False, edxOutput=False, muteOutput=False):
+        """
+        Defines the grading scheme for a project
+          projectName: project name
+          questionsAndMaxesDict: a list of (question name, max points per question)
+        """
+        self.questions = [el[0] for el in questionsAndMaxesList]
+        self.maxes = dict(questionsAndMaxesList)
+        self.points = Counter()
+        self.messages = dict([(q, []) for q in self.questions])
+        self.project = projectName
+        self.start = time.localtime()[1:6]
+        self.sane = True  # Sanity checks
+        self.currentQuestion = None  # Which question we're grading
+        self.edxOutput = edxOutput
+        self.gsOutput = gsOutput  # GradeScope output
+        self.mute = muteOutput
+        self.prereqs = defaultdict(set)
+
+        # print 'Autograder transcript for %s' % self.project
+        print('Starting on %d-%d at %d:%02d:%02d' % self.start)
+
+    def addPrereq(self, question, prereq):
+        self.prereqs[question].add(prereq)
+
+    def grade(self, gradingModule, exceptionMap={}, bonusPic=False):
+        """
+        Grades each question
+          gradingModule: the module with all the grading functions (pass in with sys.modules[__name__])
+        """
+
+        completedQuestions = set([])
+        for q in self.questions:
+            print('\nQuestion %s' % q)
+            print('=' * (9 + len(q)))
+            print()
+            self.currentQuestion = q
+
+            incompleted = self.prereqs[q].difference(completedQuestions)
+            if len(incompleted) > 0:
+                prereq = incompleted.pop()
+                print("""*** NOTE: Make sure to complete Question %s before working on Question %s,
+*** because Question %s builds upon your answer for Question %s.
+""" % (prereq, q, q, prereq))
+                continue
+
+            if self.mute:
+                util.mutePrint()
+            try:
+                util.TimeoutFunction(getattr(gradingModule, q), 1800)(
+                    self)  # Call the question's function
+                # TimeoutFunction(getattr(gradingModule, q),1200)(self) # Call the question's function
+            except Exception as inst:
+                self.addExceptionMessage(q, inst, traceback)
+                self.addErrorHints(exceptionMap, inst, q[1])
+            except:
+                self.fail('FAIL: Terminated with a string exception.')
+            finally:
+                if self.mute:
+                    util.unmutePrint()
+
+            if self.points[q] >= self.maxes[q]:
+                completedQuestions.add(q)
+
+            print('\n### Question %s: %d/%d ###\n' %
+                  (q, self.points[q], self.maxes[q]))
+
+        print('\nFinished at %d:%02d:%02d' % time.localtime()[3:6])
+        print("\nProvisional grades\n==================")
+
+        for q in self.questions:
+            print('Question %s: %d/%d' % (q, self.points[q], self.maxes[q]))
+        print('------------------')
+        print('Total: %d/%d' %
+              (self.points.totalCount(), sum(self.maxes.values())))
+        if bonusPic and self.points.totalCount() == 25:
+            print("""
+
+                     ALL HAIL GRANDPAC.
+              LONG LIVE THE GHOSTBUSTING KING.
+
+                  ---      ----      ---
+                  |  \    /  + \    /  |
+                  | + \--/      \--/ + |
+                  |   +     +          |
+                  | +     +        +   |
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+             \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              V   \   @@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                   \ /  @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    V     @@@@@@@@@@@@@@@@@@@@@@@@
+                            @@@@@@@@@@@@@@@@@@@@@@
+                    /\      @@@@@@@@@@@@@@@@@@@@@@
+                   /  \  @@@@@@@@@@@@@@@@@@@@@@@@@
+              /\  /    @@@@@@@@@@@@@@@@@@@@@@@@@@@
+             /  \ @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            /    @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+            @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+              @@@@@@@@@@@@@@@@@@@@@@@@@@@@@@
+                @@@@@@@@@@@@@@@@@@@@@@@@@@
+                    @@@@@@@@@@@@@@@@@@
+
+""")
+        print("""
+Your grades are NOT yet registered.  To register your grades, make sure
+to follow your instructor's guidelines to receive credit on your project.
+""")
+
+        if self.edxOutput:
+            self.produceOutput()
+        if self.gsOutput:
+            self.produceGradeScopeOutput()
+
+    def addExceptionMessage(self, q, inst, traceback):
+        """
+        Method to format the exception message, this is more complicated because
+        we need to cgi.escape the traceback but wrap the exception in a 
 tag
+        """
+        self.fail('FAIL: Exception raised: %s' % inst)
+        self.addMessage('')
+        for line in traceback.format_exc().split('\n'):
+            self.addMessage(line)
+
+    def addErrorHints(self, exceptionMap, errorInstance, questionNum):
+        typeOf = str(type(errorInstance))
+        questionName = 'q' + questionNum
+        errorHint = ''
+
+        # question specific error hints
+        if exceptionMap.get(questionName):
+            questionMap = exceptionMap.get(questionName)
+            if (questionMap.get(typeOf)):
+                errorHint = questionMap.get(typeOf)
+        # fall back to general error messages if a question specific
+        # one does not exist
+        if (exceptionMap.get(typeOf)):
+            errorHint = exceptionMap.get(typeOf)
+
+        # dont include the HTML if we have no error hint
+        if not errorHint:
+            return ''
+
+        for line in errorHint.split('\n'):
+            self.addMessage(line)
+
+    def produceGradeScopeOutput(self):
+        out_dct = {}
+
+        # total of entire submission
+        total_possible = sum(self.maxes.values())
+        total_score = sum(self.points.values())
+        out_dct['score'] = total_score
+        out_dct['max_score'] = total_possible
+        out_dct['output'] = "Total score (%d / %d)" % (
+            total_score, total_possible)
+
+        # individual tests
+        tests_out = []
+        for name in self.questions:
+            test_out = {}
+            # test name
+            test_out['name'] = name
+            # test score
+            test_out['score'] = self.points[name]
+            test_out['max_score'] = self.maxes[name]
+            # others
+            is_correct = self.points[name] >= self.maxes[name]
+            test_out['output'] = "  Question {num} ({points}/{max}) {correct}".format(
+                num=(name[1] if len(name) == 2 else name),
+                points=test_out['score'],
+                max=test_out['max_score'],
+                correct=('X' if not is_correct else ''),
+            )
+            test_out['tags'] = []
+            tests_out.append(test_out)
+        out_dct['tests'] = tests_out
+
+        # file output
+        with open('gradescope_response.json', 'w') as outfile:
+            json.dump(out_dct, outfile)
+        return
+
+    def produceOutput(self):
+        edxOutput = open('edx_response.html', 'w')
+        edxOutput.write("
")
+
+        # first sum
+        total_possible = sum(self.maxes.values())
+        total_score = sum(self.points.values())
+        checkOrX = ''
+        if (total_score >= total_possible):
+            checkOrX = ''
+        header = """
+        

+            Total score ({total_score} / {total_possible})
+        

+    """.format(total_score=total_score,
+               total_possible=total_possible,
+               checkOrX=checkOrX
+               )
+        edxOutput.write(header)
+
+        for q in self.questions:
+            if len(q) == 2:
+                name = q[1]
+            else:
+                name = q
+            checkOrX = ''
+            if (self.points[q] >= self.maxes[q]):
+                checkOrX = ''
+            #messages = '\n
\n'.join(self.messages[q])
+            messages = "
%s
" % '\n'.join(self.messages[q])
+            output = """
+        

+          

+          

+            Question {q} ({points}/{max}) {checkOrX}
+          

+        

+          {messages}
+        

+        

+      

+      """.format(q=name,
+                 max=self.maxes[q],
+                 messages=messages,
+                 checkOrX=checkOrX,
+                 points=self.points[q]
+                 )
+            # print "*** output for Question %s " % q[1]
+            # print output
+            edxOutput.write(output)
+        edxOutput.write("
")
+        edxOutput.close()
+        edxOutput = open('edx_grade', 'w')
+        edxOutput.write(str(self.points.totalCount()))
+        edxOutput.close()
+
+    def fail(self, message, raw=False):
+        "Sets sanity check bit to false and outputs a message"
+        self.sane = False
+        self.assignZeroCredit()
+        self.addMessage(message, raw)
+
+    def assignZeroCredit(self):
+        self.points[self.currentQuestion] = 0
+
+    def addPoints(self, amt):
+        self.points[self.currentQuestion] += amt
+
+    def deductPoints(self, amt):
+        self.points[self.currentQuestion] -= amt
+
+    def assignFullCredit(self, message="", raw=False):
+        self.points[self.currentQuestion] = self.maxes[self.currentQuestion]
+        if message != "":
+            self.addMessage(message, raw)
+
+    def addMessage(self, message, raw=False):
+        if not raw:
+                # We assume raw messages, formatted for HTML, are printed separately
+            if self.mute:
+                util.unmutePrint()
+            print('*** ' + message)
+            if self.mute:
+                util.mutePrint()
+            message = cgi.escape(message)
+        self.messages[self.currentQuestion].append(message)
+
+    def addMessageToEmail(self, message):
+        print("WARNING**** addMessageToEmail is deprecated %s" % message)
+        for line in message.split('\n'):
+            pass
+            # print '%%% ' + line + ' %%%'
+            # self.messages[self.currentQuestion].append(line)
+
+
+class Counter(dict):
+    """
+    Dict with default 0
+    """
+
+    def __getitem__(self, idx):
+        try:
+            return dict.__getitem__(self, idx)
+        except KeyError:
+            return 0
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
diff --git a/multiagent/graphicsDisplay.py b/multiagent/graphicsDisplay.py
new file mode 100644
index 0000000..b63efc7
--- /dev/null
+++ b/multiagent/graphicsDisplay.py
@@ -0,0 +1,738 @@
+# graphicsDisplay.py
+# ------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from graphicsUtils import *
+import math
+import time
+from game import Directions
+
+###########################
+#  GRAPHICS DISPLAY CODE  #
+###########################
+
+# Most code by Dan Klein and John Denero written or rewritten for cs188, UC Berkeley.
+# Some code from a Pacman implementation by LiveWires, and used / modified with permission.
+
+DEFAULT_GRID_SIZE = 30.0
+INFO_PANE_HEIGHT = 35
+BACKGROUND_COLOR = formatColor(0, 0, 0)
+WALL_COLOR = formatColor(0.0/255.0, 51.0/255.0, 255.0/255.0)
+INFO_PANE_COLOR = formatColor(.4, .4, 0)
+SCORE_COLOR = formatColor(.9, .9, .9)
+PACMAN_OUTLINE_WIDTH = 2
+PACMAN_CAPTURE_OUTLINE_WIDTH = 4
+
+GHOST_COLORS = []
+GHOST_COLORS.append(formatColor(.9, 0, 0))  # Red
+GHOST_COLORS.append(formatColor(0, .3, .9))  # Blue
+GHOST_COLORS.append(formatColor(.98, .41, .07))  # Orange
+GHOST_COLORS.append(formatColor(.1, .75, .7))  # Green
+GHOST_COLORS.append(formatColor(1.0, 0.6, 0.0))  # Yellow
+GHOST_COLORS.append(formatColor(.4, 0.13, 0.91))  # Purple
+
+TEAM_COLORS = GHOST_COLORS[:2]
+
+GHOST_SHAPE = [
+    (0,     0.3),
+    (0.25,  0.75),
+    (0.5,   0.3),
+    (0.75,  0.75),
+    (0.75,  -0.5),
+    (0.5,   -0.75),
+    (-0.5,  -0.75),
+    (-0.75, -0.5),
+    (-0.75, 0.75),
+    (-0.5,  0.3),
+    (-0.25, 0.75)
+]
+GHOST_SIZE = 0.65
+SCARED_COLOR = formatColor(1, 1, 1)
+
+GHOST_VEC_COLORS = list(map(colorToVector, GHOST_COLORS))
+
+PACMAN_COLOR = formatColor(255.0/255.0, 255.0/255.0, 61.0/255)
+PACMAN_SCALE = 0.5
+#pacman_speed = 0.25
+
+# Food
+FOOD_COLOR = formatColor(1, 1, 1)
+FOOD_SIZE = 0.1
+
+# Laser
+LASER_COLOR = formatColor(1, 0, 0)
+LASER_SIZE = 0.02
+
+# Capsule graphics
+CAPSULE_COLOR = formatColor(1, 1, 1)
+CAPSULE_SIZE = 0.25
+
+# Drawing walls
+WALL_RADIUS = 0.15
+
+
+class InfoPane:
+    def __init__(self, layout, gridSize):
+        self.gridSize = gridSize
+        self.width = (layout.width) * gridSize
+        self.base = (layout.height + 1) * gridSize
+        self.height = INFO_PANE_HEIGHT
+        self.fontSize = 24
+        self.textColor = PACMAN_COLOR
+        self.drawPane()
+
+    def toScreen(self, pos, y=None):
+        """
+          Translates a point relative from the bottom left of the info pane.
+        """
+        if y == None:
+            x, y = pos
+        else:
+            x = pos
+
+        x = self.gridSize + x  # Margin
+        y = self.base + y
+        return x, y
+
+    def drawPane(self):
+        self.scoreText = text(self.toScreen(
+            0, 0), self.textColor, "SCORE:    0", "Times", self.fontSize, "bold")
+
+    def initializeGhostDistances(self, distances):
+        self.ghostDistanceText = []
+
+        size = 20
+        if self.width < 240:
+            size = 12
+        if self.width < 160:
+            size = 10
+
+        for i, d in enumerate(distances):
+            t = text(self.toScreen(self.width/2 + self.width/8 * i, 0),
+                     GHOST_COLORS[i+1], d, "Times", size, "bold")
+            self.ghostDistanceText.append(t)
+
+    def updateScore(self, score):
+        changeText(self.scoreText, "SCORE: % 4d" % score)
+
+    def setTeam(self, isBlue):
+        text = "RED TEAM"
+        if isBlue:
+            text = "BLUE TEAM"
+        self.teamText = text(self.toScreen(
+            300, 0), self.textColor, text, "Times", self.fontSize, "bold")
+
+    def updateGhostDistances(self, distances):
+        if len(distances) == 0:
+            return
+        if 'ghostDistanceText' not in dir(self):
+            self.initializeGhostDistances(distances)
+        else:
+            for i, d in enumerate(distances):
+                changeText(self.ghostDistanceText[i], d)
+
+    def drawGhost(self):
+        pass
+
+    def drawPacman(self):
+        pass
+
+    def drawWarning(self):
+        pass
+
+    def clearIcon(self):
+        pass
+
+    def updateMessage(self, message):
+        pass
+
+    def clearMessage(self):
+        pass
+
+
+class PacmanGraphics:
+    def __init__(self, zoom=1.0, frameTime=0.0, capture=False):
+        self.have_window = 0
+        self.currentGhostImages = {}
+        self.pacmanImage = None
+        self.zoom = zoom
+        self.gridSize = DEFAULT_GRID_SIZE * zoom
+        self.capture = capture
+        self.frameTime = frameTime
+
+    def checkNullDisplay(self):
+        return False
+
+    def initialize(self, state, isBlue=False):
+        self.isBlue = isBlue
+        self.startGraphics(state)
+
+        # self.drawDistributions(state)
+        self.distributionImages = None  # Initialized lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def startGraphics(self, state):
+        self.layout = state.layout
+        layout = self.layout
+        self.width = layout.width
+        self.height = layout.height
+        self.make_window(self.width, self.height)
+        self.infoPane = InfoPane(layout, self.gridSize)
+        self.currentState = layout
+
+    def drawDistributions(self, state):
+        walls = state.layout.walls
+        dist = []
+        for x in range(walls.width):
+            distx = []
+            dist.append(distx)
+            for y in range(walls.height):
+                (screen_x, screen_y) = self.to_screen((x, y))
+                block = square((screen_x, screen_y),
+                               0.5 * self.gridSize,
+                               color=BACKGROUND_COLOR,
+                               filled=1, behind=2)
+                distx.append(block)
+        self.distributionImages = dist
+
+    def drawStaticObjects(self, state):
+        layout = self.layout
+        self.drawWalls(layout.walls)
+        self.food = self.drawFood(layout.food)
+        self.capsules = self.drawCapsules(layout.capsules)
+        refresh()
+
+    def drawAgentObjects(self, state):
+        self.agentImages = []  # (agentState, image)
+        for index, agent in enumerate(state.agentStates):
+            if agent.isPacman:
+                image = self.drawPacman(agent, index)
+                self.agentImages.append((agent, image))
+            else:
+                image = self.drawGhost(agent, index)
+                self.agentImages.append((agent, image))
+        refresh()
+
+    def swapImages(self, agentIndex, newState):
+        """
+          Changes an image from a ghost to a pacman or vis versa (for capture)
+        """
+        prevState, prevImage = self.agentImages[agentIndex]
+        for item in prevImage:
+            remove_from_screen(item)
+        if newState.isPacman:
+            image = self.drawPacman(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image)
+        else:
+            image = self.drawGhost(newState, agentIndex)
+            self.agentImages[agentIndex] = (newState, image)
+        refresh()
+
+    def update(self, newState):
+        agentIndex = newState._agentMoved
+        agentState = newState.agentStates[agentIndex]
+
+        if self.agentImages[agentIndex][0].isPacman != agentState.isPacman:
+            self.swapImages(agentIndex, agentState)
+        prevState, prevImage = self.agentImages[agentIndex]
+        if agentState.isPacman:
+            self.animatePacman(agentState, prevState, prevImage)
+        else:
+            self.moveGhost(agentState, agentIndex, prevState, prevImage)
+        self.agentImages[agentIndex] = (agentState, prevImage)
+
+        if newState._foodEaten != None:
+            self.removeFood(newState._foodEaten, self.food)
+        if newState._capsuleEaten != None:
+            self.removeCapsule(newState._capsuleEaten, self.capsules)
+        self.infoPane.updateScore(newState.score)
+        if 'ghostDistances' in dir(newState):
+            self.infoPane.updateGhostDistances(newState.ghostDistances)
+
+    def make_window(self, width, height):
+        grid_width = (width-1) * self.gridSize
+        grid_height = (height-1) * self.gridSize
+        screen_width = 2*self.gridSize + grid_width
+        screen_height = 2*self.gridSize + grid_height + INFO_PANE_HEIGHT
+
+        begin_graphics(screen_width,
+                       screen_height,
+                       BACKGROUND_COLOR,
+                       "CS188 Pacman")
+
+    def drawPacman(self, pacman, index):
+        position = self.getPosition(pacman)
+        screen_point = self.to_screen(position)
+        endpoints = self.getEndpoints(self.getDirection(pacman))
+
+        width = PACMAN_OUTLINE_WIDTH
+        outlineColor = PACMAN_COLOR
+        fillColor = PACMAN_COLOR
+
+        if self.capture:
+            outlineColor = TEAM_COLORS[index % 2]
+            fillColor = GHOST_COLORS[index]
+            width = PACMAN_CAPTURE_OUTLINE_WIDTH
+
+        return [circle(screen_point, PACMAN_SCALE * self.gridSize,
+                       fillColor=fillColor, outlineColor=outlineColor,
+                       endpoints=endpoints,
+                       width=width)]
+
+    def getEndpoints(self, direction, position=(0, 0)):
+        x, y = position
+        pos = x - int(x) + y - int(y)
+        width = 30 + 80 * math.sin(math.pi * pos)
+
+        delta = width / 2
+        if (direction == 'West'):
+            endpoints = (180+delta, 180-delta)
+        elif (direction == 'North'):
+            endpoints = (90+delta, 90-delta)
+        elif (direction == 'South'):
+            endpoints = (270+delta, 270-delta)
+        else:
+            endpoints = (0+delta, 0-delta)
+        return endpoints
+
+    def movePacman(self, position, direction, image):
+        screenPosition = self.to_screen(position)
+        endpoints = self.getEndpoints(direction, position)
+        r = PACMAN_SCALE * self.gridSize
+        moveCircle(image[0], screenPosition, r, endpoints)
+        refresh()
+
+    def animatePacman(self, pacman, prevPacman, image):
+        if self.frameTime < 0:
+            print('Press any key to step forward, "q" to play')
+            keys = wait_for_keys()
+            if 'q' in keys:
+                self.frameTime = 0.1
+        if self.frameTime > 0.01 or self.frameTime < 0:
+            start = time.time()
+            fx, fy = self.getPosition(prevPacman)
+            px, py = self.getPosition(pacman)
+            frames = 4.0
+            for i in range(1, int(frames) + 1):
+                pos = px*i/frames + fx * \
+                    (frames-i)/frames, py*i/frames + fy*(frames-i)/frames
+                self.movePacman(pos, self.getDirection(pacman), image)
+                refresh()
+                sleep(abs(self.frameTime) / frames)
+        else:
+            self.movePacman(self.getPosition(pacman),
+                            self.getDirection(pacman), image)
+        refresh()
+
+    def getGhostColor(self, ghost, ghostIndex):
+        if ghost.scaredTimer > 0:
+            return SCARED_COLOR
+        else:
+            return GHOST_COLORS[ghostIndex]
+
+    def drawGhost(self, ghost, agentIndex):
+        pos = self.getPosition(ghost)
+        dir = self.getDirection(ghost)
+        (screen_x, screen_y) = (self.to_screen(pos))
+        coords = []
+        for (x, y) in GHOST_SHAPE:
+            coords.append((x*self.gridSize*GHOST_SIZE + screen_x,
+                           y*self.gridSize*GHOST_SIZE + screen_y))
+
+        colour = self.getGhostColor(ghost, agentIndex)
+        body = polygon(coords, colour, filled=1)
+        WHITE = formatColor(1.0, 1.0, 1.0)
+        BLACK = formatColor(0.0, 0.0, 0.0)
+
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        leftEye = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y -
+                          self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        rightEye = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y -
+                           self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2, WHITE, WHITE)
+        leftPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y -
+                            self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        rightPupil = circle((screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y -
+                             self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08, BLACK, BLACK)
+        ghostImageParts = []
+        ghostImageParts.append(body)
+        ghostImageParts.append(leftEye)
+        ghostImageParts.append(rightEye)
+        ghostImageParts.append(leftPupil)
+        ghostImageParts.append(rightPupil)
+
+        return ghostImageParts
+
+    def moveEyes(self, pos, dir, eyes):
+        (screen_x, screen_y) = (self.to_screen(pos))
+        dx = 0
+        dy = 0
+        if dir == 'North':
+            dy = -0.2
+        if dir == 'South':
+            dy = 0.2
+        if dir == 'East':
+            dx = 0.2
+        if dir == 'West':
+            dx = -0.2
+        moveCircle(eyes[0], (screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx/1.5), screen_y -
+                             self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[1], (screen_x+self.gridSize*GHOST_SIZE*(0.3+dx/1.5), screen_y -
+                             self.gridSize*GHOST_SIZE*(0.3-dy/1.5)), self.gridSize*GHOST_SIZE*0.2)
+        moveCircle(eyes[2], (screen_x+self.gridSize*GHOST_SIZE*(-0.3+dx), screen_y -
+                             self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+        moveCircle(eyes[3], (screen_x+self.gridSize*GHOST_SIZE*(0.3+dx), screen_y -
+                             self.gridSize*GHOST_SIZE*(0.3-dy)), self.gridSize*GHOST_SIZE*0.08)
+
+    def moveGhost(self, ghost, ghostIndex, prevGhost, ghostImageParts):
+        old_x, old_y = self.to_screen(self.getPosition(prevGhost))
+        new_x, new_y = self.to_screen(self.getPosition(ghost))
+        delta = new_x - old_x, new_y - old_y
+
+        for ghostImagePart in ghostImageParts:
+            move_by(ghostImagePart, delta)
+        refresh()
+
+        if ghost.scaredTimer > 0:
+            color = SCARED_COLOR
+        else:
+            color = GHOST_COLORS[ghostIndex]
+        edit(ghostImageParts[0], ('fill', color), ('outline', color))
+        self.moveEyes(self.getPosition(ghost),
+                      self.getDirection(ghost), ghostImageParts[-4:])
+        refresh()
+
+    def getPosition(self, agentState):
+        if agentState.configuration == None:
+            return (-1000, -1000)
+        return agentState.getPosition()
+
+    def getDirection(self, agentState):
+        if agentState.configuration == None:
+            return Directions.STOP
+        return agentState.configuration.getDirection()
+
+    def finish(self):
+        end_graphics()
+
+    def to_screen(self, point):
+        (x, y) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height - y)*self.gridSize
+        return (x, y)
+
+    # Fixes some TK issue with off-center circles
+    def to_screen2(self, point):
+        (x, y) = point
+        #y = self.height - y
+        x = (x + 1)*self.gridSize
+        y = (self.height - y)*self.gridSize
+        return (x, y)
+
+    def drawWalls(self, wallMatrix):
+        wallColor = WALL_COLOR
+        for xNum, x in enumerate(wallMatrix):
+            if self.capture and (xNum * 2) < wallMatrix.width:
+                wallColor = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) >= wallMatrix.width:
+                wallColor = TEAM_COLORS[1]
+
+            for yNum, cell in enumerate(x):
+                if cell:  # There's a wall here
+                    pos = (xNum, yNum)
+                    screen = self.to_screen(pos)
+                    screen2 = self.to_screen2(pos)
+
+                    # draw each quadrant of the square based on adjacent walls
+                    wIsWall = self.isWall(xNum-1, yNum, wallMatrix)
+                    eIsWall = self.isWall(xNum+1, yNum, wallMatrix)
+                    nIsWall = self.isWall(xNum, yNum+1, wallMatrix)
+                    sIsWall = self.isWall(xNum, yNum-1, wallMatrix)
+                    nwIsWall = self.isWall(xNum-1, yNum+1, wallMatrix)
+                    swIsWall = self.isWall(xNum-1, yNum-1, wallMatrix)
+                    neIsWall = self.isWall(xNum+1, yNum+1, wallMatrix)
+                    seIsWall = self.isWall(xNum+1, yNum-1, wallMatrix)
+
+                    # NE quadrant
+                    if (not nIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize,
+                               wallColor, wallColor, (0, 91), 'arc')
+                    if (nIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen,
+                                                                              (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen,
+                                                                                   (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (eIsWall) and (not neIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)),
+                               WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (180, 271), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(-1)*WALL_RADIUS)),
+                             add(screen, (self.gridSize*0.5+1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)),
+                             add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # NW quadrant
+                    if (not nIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize,
+                               wallColor, wallColor, (90, 181), 'arc')
+                    if (nIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen,
+                                                                                   (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5)-1)), wallColor)
+                    if (not nIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(-1)*WALL_RADIUS)), add(screen,
+                                                                                   (self.gridSize*(-0.5)-1, self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                    if (nIsWall) and (wIsWall) and (not nwIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS)),
+                               WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (270, 361), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(-1)*WALL_RADIUS)),
+                             add(screen, (self.gridSize*(-0.5), self.gridSize*(-1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-2)*WALL_RADIUS+1)),
+                             add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(-0.5))), wallColor)
+
+                    # SE quadrant
+                    if (not sIsWall) and (not eIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize,
+                               wallColor, wallColor, (270, 361), 'arc')
+                    if (sIsWall) and (not eIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*WALL_RADIUS, 0)), add(screen,
+                                                                              (self.gridSize*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (eIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen,
+                                                                                  (self.gridSize*0.5+1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (eIsWall) and (not seIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*2*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)),
+                               WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (90, 181), 'arc')
+                        line(add(screen, (self.gridSize*2*WALL_RADIUS-1, self.gridSize*(1)*WALL_RADIUS)),
+                             add(screen, (self.gridSize*0.5, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)),
+                             add(screen, (self.gridSize*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+                    # SW quadrant
+                    if (not sIsWall) and (not wIsWall):
+                        # inner circle
+                        circle(screen2, WALL_RADIUS * self.gridSize,
+                               wallColor, wallColor, (180, 271), 'arc')
+                    if (sIsWall) and (not wIsWall):
+                        # vertical line
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, 0)), add(screen,
+                                                                                   (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5)+1)), wallColor)
+                    if (not sIsWall) and (wIsWall):
+                        # horizontal line
+                        line(add(screen, (0, self.gridSize*(1)*WALL_RADIUS)), add(screen,
+                                                                                  (self.gridSize*(-0.5)-1, self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                    if (sIsWall) and (wIsWall) and (not swIsWall):
+                        # outer circle
+                        circle(add(screen2, (self.gridSize*(-2)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS)),
+                               WALL_RADIUS * self.gridSize-1, wallColor, wallColor, (0, 91), 'arc')
+                        line(add(screen, (self.gridSize*(-2)*WALL_RADIUS+1, self.gridSize*(1)*WALL_RADIUS)),
+                             add(screen, (self.gridSize*(-0.5), self.gridSize*(1)*WALL_RADIUS)), wallColor)
+                        line(add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(2)*WALL_RADIUS-1)),
+                             add(screen, (self.gridSize*(-1)*WALL_RADIUS, self.gridSize*(0.5))), wallColor)
+
+    def isWall(self, x, y, walls):
+        if x < 0 or y < 0:
+            return False
+        if x >= walls.width or y >= walls.height:
+            return False
+        return walls[x][y]
+
+    def drawFood(self, foodMatrix):
+        foodImages = []
+        color = FOOD_COLOR
+        for xNum, x in enumerate(foodMatrix):
+            if self.capture and (xNum * 2) <= foodMatrix.width:
+                color = TEAM_COLORS[0]
+            if self.capture and (xNum * 2) > foodMatrix.width:
+                color = TEAM_COLORS[1]
+            imageRow = []
+            foodImages.append(imageRow)
+            for yNum, cell in enumerate(x):
+                if cell:  # There's food here
+                    screen = self.to_screen((xNum, yNum))
+                    dot = circle(screen,
+                                 FOOD_SIZE * self.gridSize,
+                                 outlineColor=color, fillColor=color,
+                                 width=1)
+                    imageRow.append(dot)
+                else:
+                    imageRow.append(None)
+        return foodImages
+
+    def drawCapsules(self, capsules):
+        capsuleImages = {}
+        for capsule in capsules:
+            (screen_x, screen_y) = self.to_screen(capsule)
+            dot = circle((screen_x, screen_y),
+                         CAPSULE_SIZE * self.gridSize,
+                         outlineColor=CAPSULE_COLOR,
+                         fillColor=CAPSULE_COLOR,
+                         width=1)
+            capsuleImages[capsule] = dot
+        return capsuleImages
+
+    def removeFood(self, cell, foodImages):
+        x, y = cell
+        remove_from_screen(foodImages[x][y])
+
+    def removeCapsule(self, cell, capsuleImages):
+        x, y = cell
+        remove_from_screen(capsuleImages[(x, y)])
+
+    def drawExpandedCells(self, cells):
+        """
+        Draws an overlay of expanded grid positions for search agents
+        """
+        n = float(len(cells))
+        baseColor = [1.0, 0.0, 0.0]
+        self.clearExpandedCells()
+        self.expandedCells = []
+        for k, cell in enumerate(cells):
+            screenPos = self.to_screen(cell)
+            cellColor = formatColor(
+                *[(n-k) * c * .5 / n + .25 for c in baseColor])
+            block = square(screenPos,
+                           0.5 * self.gridSize,
+                           color=cellColor,
+                           filled=1, behind=2)
+            self.expandedCells.append(block)
+            if self.frameTime < 0:
+                refresh()
+
+    def clearExpandedCells(self):
+        if 'expandedCells' in dir(self) and len(self.expandedCells) > 0:
+            for cell in self.expandedCells:
+                remove_from_screen(cell)
+
+    def updateDistributions(self, distributions):
+        "Draws an agent's belief distributions"
+        # copy all distributions so we don't change their state
+        distributions = [x.copy() for x in distributions]
+        if self.distributionImages == None:
+            self.drawDistributions(self.previousState)
+        for x in range(len(self.distributionImages)):
+            for y in range(len(self.distributionImages[0])):
+                image = self.distributionImages[x][y]
+                weights = [dist[(x, y)] for dist in distributions]
+
+                if sum(weights) != 0:
+                    pass
+                # Fog of war
+                color = [0.0, 0.0, 0.0]
+                colors = GHOST_VEC_COLORS[1:]  # With Pacman
+                if self.capture:
+                    colors = GHOST_VEC_COLORS
+                for weight, gcolor in zip(weights, colors):
+                    color = [min(1.0, c + 0.95 * g * weight ** .3)
+                             for c, g in zip(color, gcolor)]
+                changeColor(image, formatColor(*color))
+        refresh()
+
+
+class FirstPersonPacmanGraphics(PacmanGraphics):
+    def __init__(self, zoom=1.0, showGhosts=True, capture=False, frameTime=0):
+        PacmanGraphics.__init__(self, zoom, frameTime=frameTime)
+        self.showGhosts = showGhosts
+        self.capture = capture
+
+    def initialize(self, state, isBlue=False):
+
+        self.isBlue = isBlue
+        PacmanGraphics.startGraphics(self, state)
+        # Initialize distribution images
+        walls = state.layout.walls
+        dist = []
+        self.layout = state.layout
+
+        # Draw the rest
+        self.distributionImages = None  # initialize lazily
+        self.drawStaticObjects(state)
+        self.drawAgentObjects(state)
+
+        # Information
+        self.previousState = state
+
+    def lookAhead(self, config, state):
+        if config.getDirection() == 'Stop':
+            return
+        else:
+            pass
+            # Draw relevant ghosts
+            allGhosts = state.getGhostStates()
+            visibleGhosts = state.getVisibleGhosts()
+            for i, ghost in enumerate(allGhosts):
+                if ghost in visibleGhosts:
+                    self.drawGhost(ghost, i)
+                else:
+                    self.currentGhostImages[i] = None
+
+    def getGhostColor(self, ghost, ghostIndex):
+        return GHOST_COLORS[ghostIndex]
+
+    def getPosition(self, ghostState):
+        if not self.showGhosts and not ghostState.isPacman and ghostState.getPosition()[1] > 1:
+            return (-1000, -1000)
+        else:
+            return PacmanGraphics.getPosition(self, ghostState)
+
+
+def add(x, y):
+    return (x[0] + y[0], x[1] + y[1])
+
+
+# Saving graphical output
+# -----------------------
+# Note: to make an animated gif from this postscript output, try the command:
+# convert -delay 7 -loop 1 -compress lzw -layers optimize frame* out.gif
+# convert is part of imagemagick (freeware)
+
+SAVE_POSTSCRIPT = False
+POSTSCRIPT_OUTPUT_DIR = 'frames'
+FRAME_NUMBER = 0
+import os
+
+
+def saveFrame():
+    "Saves the current graphical output as a postscript file"
+    global SAVE_POSTSCRIPT, FRAME_NUMBER, POSTSCRIPT_OUTPUT_DIR
+    if not SAVE_POSTSCRIPT:
+        return
+    if not os.path.exists(POSTSCRIPT_OUTPUT_DIR):
+        os.mkdir(POSTSCRIPT_OUTPUT_DIR)
+    name = os.path.join(POSTSCRIPT_OUTPUT_DIR, 'frame_%08d.ps' % FRAME_NUMBER)
+    FRAME_NUMBER += 1
+    writePostscript(name)  # writes the current canvas
diff --git a/multiagent/graphicsUtils.py b/multiagent/graphicsUtils.py
new file mode 100644
index 0000000..9a22066
--- /dev/null
+++ b/multiagent/graphicsUtils.py
@@ -0,0 +1,451 @@
+# graphicsUtils.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import math
+import random
+import string
+import time
+import types
+import tkinter
+import os.path
+
+_Windows = sys.platform == 'win32'  # True if on Win95/98/NT
+
+_root_window = None      # The root window for graphics output
+_canvas = None      # The canvas which holds graphics
+_canvas_xs = None      # Size of canvas object
+_canvas_ys = None
+_canvas_x = None      # Current position on canvas
+_canvas_y = None
+_canvas_col = None      # Current colour (set to black below)
+_canvas_tsize = 12
+_canvas_tserifs = 0
+
+
+def formatColor(r, g, b):
+    return '#%02x%02x%02x' % (int(r * 255), int(g * 255), int(b * 255))
+
+
+def colorToVector(color):
+    return [int(x, 16) / 256.0 for x in [color[1:3], color[3:5], color[5:7]]]
+
+
+if _Windows:
+    _canvas_tfonts = ['times new roman', 'lucida console']
+else:
+    _canvas_tfonts = ['times', 'lucidasans-24']
+    pass  # XXX need defaults here
+
+
+def sleep(secs):
+    global _root_window
+    if _root_window == None:
+        time.sleep(secs)
+    else:
+        _root_window.update_idletasks()
+        _root_window.after(int(1000 * secs), _root_window.quit)
+        _root_window.mainloop()
+
+
+def begin_graphics(width=640, height=480, color=formatColor(0, 0, 0), title=None):
+
+    global _root_window, _canvas, _canvas_x, _canvas_y, _canvas_xs, _canvas_ys, _bg_color
+
+    # Check for duplicate call
+    if _root_window is not None:
+        # Lose the window.
+        _root_window.destroy()
+
+    # Save the canvas size parameters
+    _canvas_xs, _canvas_ys = width - 1, height - 1
+    _canvas_x, _canvas_y = 0, _canvas_ys
+    _bg_color = color
+
+    # Create the root window
+    _root_window = tkinter.Tk()
+    _root_window.protocol('WM_DELETE_WINDOW', _destroy_window)
+    _root_window.title(title or 'Graphics Window')
+    _root_window.resizable(0, 0)
+
+    # Create the canvas object
+    try:
+        _canvas = tkinter.Canvas(_root_window, width=width, height=height)
+        _canvas.pack()
+        draw_background()
+        _canvas.update()
+    except:
+        _root_window = None
+        raise
+
+    # Bind to key-down and key-up events
+    _root_window.bind("", _keypress)
+    _root_window.bind("", _keyrelease)
+    _root_window.bind("", _clear_keys)
+    _root_window.bind("", _clear_keys)
+    _root_window.bind("", _leftclick)
+    _root_window.bind("", _rightclick)
+    _root_window.bind("", _rightclick)
+    _root_window.bind("", _ctrl_leftclick)
+    _clear_keys()
+
+
+_leftclick_loc = None
+_rightclick_loc = None
+_ctrl_leftclick_loc = None
+
+
+def _leftclick(event):
+    global _leftclick_loc
+    _leftclick_loc = (event.x, event.y)
+
+
+def _rightclick(event):
+    global _rightclick_loc
+    _rightclick_loc = (event.x, event.y)
+
+
+def _ctrl_leftclick(event):
+    global _ctrl_leftclick_loc
+    _ctrl_leftclick_loc = (event.x, event.y)
+
+
+def wait_for_click():
+    while True:
+        global _leftclick_loc
+        global _rightclick_loc
+        global _ctrl_leftclick_loc
+        if _leftclick_loc != None:
+            val = _leftclick_loc
+            _leftclick_loc = None
+            return val, 'left'
+        if _rightclick_loc != None:
+            val = _rightclick_loc
+            _rightclick_loc = None
+            return val, 'right'
+        if _ctrl_leftclick_loc != None:
+            val = _ctrl_leftclick_loc
+            _ctrl_leftclick_loc = None
+            return val, 'ctrl_left'
+        sleep(0.05)
+
+
+def draw_background():
+    corners = [(0, 0), (0, _canvas_ys),
+               (_canvas_xs, _canvas_ys), (_canvas_xs, 0)]
+    polygon(corners, _bg_color, fillColor=_bg_color,
+            filled=True, smoothed=False)
+
+
+def _destroy_window(event=None):
+    sys.exit(0)
+#    global _root_window
+#    _root_window.destroy()
+#    _root_window = None
+    # print "DESTROY"
+
+
+def end_graphics():
+    global _root_window, _canvas, _mouse_enabled
+    try:
+        try:
+            sleep(1)
+            if _root_window != None:
+                _root_window.destroy()
+        except SystemExit as e:
+            print('Ending graphics raised an exception:', e)
+    finally:
+        _root_window = None
+        _canvas = None
+        _mouse_enabled = 0
+        _clear_keys()
+
+
+def clear_screen(background=None):
+    global _canvas_x, _canvas_y
+    _canvas.delete('all')
+    draw_background()
+    _canvas_x, _canvas_y = 0, _canvas_ys
+
+
+def polygon(coords, outlineColor, fillColor=None, filled=1, smoothed=1, behind=0, width=1):
+    c = []
+    for coord in coords:
+        c.append(coord[0])
+        c.append(coord[1])
+    if fillColor == None:
+        fillColor = outlineColor
+    if filled == 0:
+        fillColor = ""
+    poly = _canvas.create_polygon(
+        c, outline=outlineColor, fill=fillColor, smooth=smoothed, width=width)
+    if behind > 0:
+        _canvas.tag_lower(poly, behind)  # Higher should be more visible
+    return poly
+
+
+def square(pos, r, color, filled=1, behind=0):
+    x, y = pos
+    coords = [(x - r, y - r), (x + r, y - r), (x + r, y + r), (x - r, y + r)]
+    return polygon(coords, color, color, filled, 0, behind=behind)
+
+
+def circle(pos, r, outlineColor, fillColor, endpoints=None, style='pieslice', width=2):
+    x, y = pos
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]:
+        e[1] = e[1] + 360
+
+    return _canvas.create_arc(x0, y0, x1, y1, outline=outlineColor, fill=fillColor,
+                              extent=e[1] - e[0], start=e[0], style=style, width=width)
+
+
+def image(pos, file="../../blueghost.gif"):
+    x, y = pos
+    # img = PhotoImage(file=file)
+    return _canvas.create_image(x, y, image=tkinter.PhotoImage(file=file), anchor=tkinter.NW)
+
+
+def refresh():
+    _canvas.update_idletasks()
+
+
+def moveCircle(id, pos, r, endpoints=None):
+    global _canvas_x, _canvas_y
+
+    x, y = pos
+#    x0, x1 = x - r, x + r + 1
+#    y0, y1 = y - r, y + r + 1
+    x0, x1 = x - r - 1, x + r
+    y0, y1 = y - r - 1, y + r
+    if endpoints == None:
+        e = [0, 359]
+    else:
+        e = list(endpoints)
+    while e[0] > e[1]:
+        e[1] = e[1] + 360
+
+    if os.path.isfile('flag'):
+        edit(id, ('extent', e[1] - e[0]))
+    else:
+        edit(id, ('start', e[0]), ('extent', e[1] - e[0]))
+    move_to(id, x0, y0)
+
+
+def edit(id, *args):
+    _canvas.itemconfigure(id, **dict(args))
+
+
+def text(pos, color, contents, font='Helvetica', size=12, style='normal', anchor="nw"):
+    global _canvas_x, _canvas_y
+    x, y = pos
+    font = (font, str(size), style)
+    return _canvas.create_text(x, y, fill=color, text=contents, font=font, anchor=anchor)
+
+
+def changeText(id, newText, font=None, size=12, style='normal'):
+    _canvas.itemconfigure(id, text=newText)
+    if font != None:
+        _canvas.itemconfigure(id, font=(font, '-%d' % size, style))
+
+
+def changeColor(id, newColor):
+    _canvas.itemconfigure(id, fill=newColor)
+
+
+def line(here, there, color=formatColor(0, 0, 0), width=2):
+    x0, y0 = here[0], here[1]
+    x1, y1 = there[0], there[1]
+    return _canvas.create_line(x0, y0, x1, y1, fill=color, width=width)
+
+##############################################################################
+### Keypress handling ########################################################
+##############################################################################
+
+# We bind to key-down and key-up events.
+
+
+_keysdown = {}
+_keyswaiting = {}
+# This holds an unprocessed key release.  We delay key releases by up to
+# one call to keys_pressed() to get round a problem with auto repeat.
+_got_release = None
+
+
+def _keypress(event):
+    global _got_release
+    # remap_arrows(event)
+    _keysdown[event.keysym] = 1
+    _keyswaiting[event.keysym] = 1
+#    print event.char, event.keycode
+    _got_release = None
+
+
+def _keyrelease(event):
+    global _got_release
+    # remap_arrows(event)
+    try:
+        del _keysdown[event.keysym]
+    except:
+        pass
+    _got_release = 1
+
+
+def remap_arrows(event):
+    # TURN ARROW PRESSES INTO LETTERS (SHOULD BE IN KEYBOARD AGENT)
+    if event.char in ['a', 's', 'd', 'w']:
+        return
+    if event.keycode in [37, 101]:  # LEFT ARROW (win / x)
+        event.char = 'a'
+    if event.keycode in [38, 99]:  # UP ARROW
+        event.char = 'w'
+    if event.keycode in [39, 102]:  # RIGHT ARROW
+        event.char = 'd'
+    if event.keycode in [40, 104]:  # DOWN ARROW
+        event.char = 's'
+
+
+def _clear_keys(event=None):
+    global _keysdown, _got_release, _keyswaiting
+    _keysdown = {}
+    _keyswaiting = {}
+    _got_release = None
+
+
+def keys_pressed(d_o_e=lambda arg: _root_window.dooneevent(arg),
+                 d_w=tkinter._tkinter.DONT_WAIT):
+    d_o_e(d_w)
+    if _got_release:
+        d_o_e(d_w)
+    return list(_keysdown.keys())
+
+
+def keys_waiting():
+    global _keyswaiting
+    keys = list(_keyswaiting.keys())
+    _keyswaiting = {}
+    return keys
+
+# Block for a list of keys...
+
+
+def wait_for_keys():
+    keys = []
+    while keys == []:
+        keys = keys_pressed()
+        sleep(0.05)
+    return keys
+
+
+def remove_from_screen(x,
+                       d_o_e=lambda arg: _root_window.dooneevent(arg),
+                       d_w=tkinter._tkinter.DONT_WAIT):
+    _canvas.delete(x)
+    d_o_e(d_w)
+
+
+def _adjust_coords(coord_list, x, y):
+    for i in range(0, len(coord_list), 2):
+        coord_list[i] = coord_list[i] + x
+        coord_list[i + 1] = coord_list[i + 1] + y
+    return coord_list
+
+
+def move_to(object, x, y=None,
+            d_o_e=lambda arg: _root_window.dooneevent(arg),
+            d_w=tkinter._tkinter.DONT_WAIT):
+    if y is None:
+        try:
+            x, y = x
+        except:
+            raise Exception('incomprehensible coordinates')
+
+    horiz = True
+    newCoords = []
+    current_x, current_y = _canvas.coords(object)[0:2]  # first point
+    for coord in _canvas.coords(object):
+        if horiz:
+            inc = x - current_x
+        else:
+            inc = y - current_y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+
+
+def move_by(object, x, y=None,
+            d_o_e=lambda arg: _root_window.dooneevent(arg),
+            d_w=tkinter._tkinter.DONT_WAIT, lift=False):
+    if y is None:
+        try:
+            x, y = x
+        except:
+            raise Exception('incomprehensible coordinates')
+
+    horiz = True
+    newCoords = []
+    for coord in _canvas.coords(object):
+        if horiz:
+            inc = x
+        else:
+            inc = y
+        horiz = not horiz
+
+        newCoords.append(coord + inc)
+
+    _canvas.coords(object, *newCoords)
+    d_o_e(d_w)
+    if lift:
+        _canvas.tag_raise(object)
+
+
+def writePostscript(filename):
+    "Writes the current canvas to a postscript file."
+    psfile = file(filename, 'w')
+    psfile.write(_canvas.postscript(pageanchor='sw',
+                                    y='0.c',
+                                    x='0.c'))
+    psfile.close()
+
+
+ghost_shape = [
+    (0, - 0.5),
+    (0.25, - 0.75),
+    (0.5, - 0.5),
+    (0.75, - 0.75),
+    (0.75, 0.5),
+    (0.5, 0.75),
+    (- 0.5, 0.75),
+    (- 0.75, 0.5),
+    (- 0.75, - 0.75),
+    (- 0.5, - 0.5),
+    (- 0.25, - 0.75)
+]
+
+if __name__ == '__main__':
+    begin_graphics()
+    clear_screen()
+    ghost_shape = [(x * 10 + 20, y * 10 + 20) for x, y in ghost_shape]
+    g = polygon(ghost_shape, formatColor(1, 1, 1))
+    move_to(g, (50, 50))
+    circle((150, 150), 20, formatColor(0.7, 0.3, 0.0), endpoints=[15, - 15])
+    sleep(2)
diff --git a/multiagent/keyboardAgents.py b/multiagent/keyboardAgents.py
new file mode 100644
index 0000000..e8d6812
--- /dev/null
+++ b/multiagent/keyboardAgents.py
@@ -0,0 +1,95 @@
+# keyboardAgents.py
+# -----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from game import Agent
+from game import Directions
+import random
+
+
+class KeyboardAgent(Agent):
+    """
+    An agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY = 'a'
+    EAST_KEY = 'd'
+    NORTH_KEY = 'w'
+    SOUTH_KEY = 's'
+    STOP_KEY = 'q'
+
+    def __init__(self, index=0):
+
+        self.lastMove = Directions.STOP
+        self.index = index
+        self.keys = []
+
+    def getAction(self, state):
+        from graphicsUtils import keys_waiting
+        from graphicsUtils import keys_pressed
+        keys = keys_waiting() + keys_pressed()
+        if keys != []:
+            self.keys = keys
+
+        legal = state.getLegalActions(self.index)
+        move = self.getMove(legal)
+
+        if move == Directions.STOP:
+            # Try to move in the same direction as before
+            if self.lastMove in legal:
+                move = self.lastMove
+
+        if (self.STOP_KEY in self.keys) and Directions.STOP in legal:
+            move = Directions.STOP
+
+        if move not in legal:
+            move = random.choice(legal)
+
+        self.lastMove = move
+        return move
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if (self.WEST_KEY in self.keys or 'Left' in self.keys) and Directions.WEST in legal:
+            move = Directions.WEST
+        if (self.EAST_KEY in self.keys or 'Right' in self.keys) and Directions.EAST in legal:
+            move = Directions.EAST
+        if (self.NORTH_KEY in self.keys or 'Up' in self.keys) and Directions.NORTH in legal:
+            move = Directions.NORTH
+        if (self.SOUTH_KEY in self.keys or 'Down' in self.keys) and Directions.SOUTH in legal:
+            move = Directions.SOUTH
+        return move
+
+
+class KeyboardAgent2(KeyboardAgent):
+    """
+    A second agent controlled by the keyboard.
+    """
+    # NOTE: Arrow keys also work.
+    WEST_KEY = 'j'
+    EAST_KEY = "l"
+    NORTH_KEY = 'i'
+    SOUTH_KEY = 'k'
+    STOP_KEY = 'u'
+
+    def getMove(self, legal):
+        move = Directions.STOP
+        if (self.WEST_KEY in self.keys) and Directions.WEST in legal:
+            move = Directions.WEST
+        if (self.EAST_KEY in self.keys) and Directions.EAST in legal:
+            move = Directions.EAST
+        if (self.NORTH_KEY in self.keys) and Directions.NORTH in legal:
+            move = Directions.NORTH
+        if (self.SOUTH_KEY in self.keys) and Directions.SOUTH in legal:
+            move = Directions.SOUTH
+        return move
diff --git a/multiagent/layout.py b/multiagent/layout.py
new file mode 100644
index 0000000..115c959
--- /dev/null
+++ b/multiagent/layout.py
@@ -0,0 +1,164 @@
+# layout.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Grid
+import os
+import random
+from functools import reduce
+
+VISIBILITY_MATRIX_CACHE = {}
+
+
+class Layout:
+    """
+    A Layout manages the static information about the game board.
+    """
+
+    def __init__(self, layoutText):
+        self.width = len(layoutText[0])
+        self.height = len(layoutText)
+        self.walls = Grid(self.width, self.height, False)
+        self.food = Grid(self.width, self.height, False)
+        self.capsules = []
+        self.agentPositions = []
+        self.numGhosts = 0
+        self.processLayoutText(layoutText)
+        self.layoutText = layoutText
+        self.totalFood = len(self.food.asList())
+        # self.initializeVisibilityMatrix()
+
+    def getNumGhosts(self):
+        return self.numGhosts
+
+    def initializeVisibilityMatrix(self):
+        global VISIBILITY_MATRIX_CACHE
+        if reduce(str.__add__, self.layoutText) not in VISIBILITY_MATRIX_CACHE:
+            from game import Directions
+            vecs = [(-0.5, 0), (0.5, 0), (0, -0.5), (0, 0.5)]
+            dirs = [Directions.NORTH, Directions.SOUTH,
+                    Directions.WEST, Directions.EAST]
+            vis = Grid(self.width, self.height, {Directions.NORTH: set(), Directions.SOUTH: set(
+            ), Directions.EAST: set(), Directions.WEST: set(), Directions.STOP: set()})
+            for x in range(self.width):
+                for y in range(self.height):
+                    if self.walls[x][y] == False:
+                        for vec, direction in zip(vecs, dirs):
+                            dx, dy = vec
+                            nextx, nexty = x + dx, y + dy
+                            while (nextx + nexty) != int(nextx) + int(nexty) or not self.walls[int(nextx)][int(nexty)]:
+                                vis[x][y][direction].add((nextx, nexty))
+                                nextx, nexty = x + dx, y + dy
+            self.visibility = vis
+            VISIBILITY_MATRIX_CACHE[reduce(str.__add__, self.layoutText)] = vis
+        else:
+            self.visibility = VISIBILITY_MATRIX_CACHE[reduce(
+                str.__add__, self.layoutText)]
+
+    def isWall(self, pos):
+        x, col = pos
+        return self.walls[x][col]
+
+    def getRandomLegalPosition(self):
+        x = random.choice(list(range(self.width)))
+        y = random.choice(list(range(self.height)))
+        while self.isWall((x, y)):
+            x = random.choice(list(range(self.width)))
+            y = random.choice(list(range(self.height)))
+        return (x, y)
+
+    def getRandomCorner(self):
+        poses = [(1, 1), (1, self.height - 2), (self.width - 2, 1),
+                 (self.width - 2, self.height - 2)]
+        return random.choice(poses)
+
+    def getFurthestCorner(self, pacPos):
+        poses = [(1, 1), (1, self.height - 2), (self.width - 2, 1),
+                 (self.width - 2, self.height - 2)]
+        dist, pos = max([(manhattanDistance(p, pacPos), p) for p in poses])
+        return pos
+
+    def isVisibleFrom(self, ghostPos, pacPos, pacDirection):
+        row, col = [int(x) for x in pacPos]
+        return ghostPos in self.visibility[row][col][pacDirection]
+
+    def __str__(self):
+        return "\n".join(self.layoutText)
+
+    def deepCopy(self):
+        return Layout(self.layoutText[:])
+
+    def processLayoutText(self, layoutText):
+        """
+        Coordinates are flipped from the input format to the (x,y) convention here
+
+        The shape of the maze.  Each character
+        represents a different type of object.
+         % - Wall
+         . - Food
+         o - Capsule
+         G - Ghost
+         P - Pacman
+        Other characters are ignored.
+        """
+        maxY = self.height - 1
+        for y in range(self.height):
+            for x in range(self.width):
+                layoutChar = layoutText[maxY - y][x]
+                self.processLayoutChar(x, y, layoutChar)
+        self.agentPositions.sort()
+        self.agentPositions = [(i == 0, pos) for i, pos in self.agentPositions]
+
+    def processLayoutChar(self, x, y, layoutChar):
+        if layoutChar == '%':
+            self.walls[x][y] = True
+        elif layoutChar == '.':
+            self.food[x][y] = True
+        elif layoutChar == 'o':
+            self.capsules.append((x, y))
+        elif layoutChar == 'P':
+            self.agentPositions.append((0, (x, y)))
+        elif layoutChar in ['G']:
+            self.agentPositions.append((1, (x, y)))
+            self.numGhosts += 1
+        elif layoutChar in ['1', '2', '3', '4']:
+            self.agentPositions.append((int(layoutChar), (x, y)))
+            self.numGhosts += 1
+
+
+def getLayout(name, back=2):
+    if name.endswith('.lay'):
+        layout = tryToLoad('layouts/' + name)
+        if layout == None:
+            layout = tryToLoad(name)
+    else:
+        layout = tryToLoad('layouts/' + name + '.lay')
+        if layout == None:
+            layout = tryToLoad(name + '.lay')
+    if layout == None and back >= 0:
+        curdir = os.path.abspath('.')
+        os.chdir('..')
+        layout = getLayout(name, back - 1)
+        os.chdir(curdir)
+    return layout
+
+
+def tryToLoad(fullname):
+    if(not os.path.exists(fullname)):
+        return None
+    f = open(fullname)
+    try:
+        return Layout([line.strip() for line in f])
+    finally:
+        f.close()
diff --git a/multiagent/layouts/capsuleClassic.lay b/multiagent/layouts/capsuleClassic.lay
new file mode 100644
index 0000000..06a5c51
--- /dev/null
+++ b/multiagent/layouts/capsuleClassic.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%
+%G.       G   ....%
+%.% % %%%%%% %.%%.%
+%.%o% %   o% %.o%.%
+%.%%%.%  %%% %..%.%
+%.....  P    %..%G%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/multiagent/layouts/contestClassic.lay b/multiagent/layouts/contestClassic.lay
new file mode 100644
index 0000000..84c8733
--- /dev/null
+++ b/multiagent/layouts/contestClassic.lay
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%...... G GG%......%
+%.%.%%.%% %%%.%%.%.%
+%.%....% ooo%.%..%.%
+%.%.%%.% %% %.%.%%.%
+%o%......P....%....%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/multiagent/layouts/mediumClassic.lay b/multiagent/layouts/mediumClassic.lay
new file mode 100644
index 0000000..33c5db8
--- /dev/null
+++ b/multiagent/layouts/mediumClassic.lay
@@ -0,0 +1,11 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%....%
+%.%%.%.%%%%%%.%.%%.%
+%.%..............%.%
+%.%.%%.%%  %%.%%.%.%
+%......%G  G%......%
+%.%.%%.%%%%%%.%%.%.%
+%.%..............%.%
+%.%%.%.%%%%%%.%.%%.%
+%....%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/multiagent/layouts/minimaxClassic.lay b/multiagent/layouts/minimaxClassic.lay
new file mode 100644
index 0000000..a547397
--- /dev/null
+++ b/multiagent/layouts/minimaxClassic.lay
@@ -0,0 +1,5 @@
+%%%%%%%%%
+%.P    G% 
+% %.%G%%%  
+%G    %%% 
+%%%%%%%%%
diff --git a/multiagent/layouts/openClassic.lay b/multiagent/layouts/openClassic.lay
new file mode 100644
index 0000000..6760b42
--- /dev/null
+++ b/multiagent/layouts/openClassic.lay
@@ -0,0 +1,9 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%
+%.. P  ....      ....   %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      .... G %
+%..  ...  ...  ...  ... %
+%..  ...  ...  ...  ... %
+%..    ....      ....  o%
+%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/multiagent/layouts/originalClassic.lay b/multiagent/layouts/originalClassic.lay
new file mode 100644
index 0000000..b2770c5
--- /dev/null
+++ b/multiagent/layouts/originalClassic.lay
@@ -0,0 +1,27 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o%%%%.%%%%%.%%.%%%%%.%%%%o%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%..........................%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%.%%%%.%%.%%%%%%%%.%%.%%%%.%
+%......%%....%%....%%......%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%%%%% %% %%%%%.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%  %%%% %.%%%%%%
+%     .  %G  GG  G%  .     %
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%%%%%%.%            %.%%%%%%
+%%%%%%.% %%%%%%%%%% %.%%%%%%
+%............%%............%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%.%%%%.%%%%%.%%.%%%%%.%%%%.%
+%o..%%.......  .......%%..o%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%%%.%%.%%.%%%%%%%%.%%.%%.%%%
+%......%%....%%....%%......%
+%.%%%%%%%%%%.%%.%%%%%%%%%%.%
+%.............P............%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%
diff --git a/multiagent/layouts/powerClassic.lay b/multiagent/layouts/powerClassic.lay
new file mode 100644
index 0000000..3f3d983
--- /dev/null
+++ b/multiagent/layouts/powerClassic.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%o....o%GGGG%o....o%
+%..%...%%  %%...%..%
+%.%o.%........%.o%.%
+%.o%.%.%%%%%%.%.%o.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/multiagent/layouts/smallClassic.lay b/multiagent/layouts/smallClassic.lay
new file mode 100644
index 0000000..ce6c1d9
--- /dev/null
+++ b/multiagent/layouts/smallClassic.lay
@@ -0,0 +1,7 @@
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/multiagent/layouts/testClassic.lay b/multiagent/layouts/testClassic.lay
new file mode 100644
index 0000000..4b3ffca
--- /dev/null
+++ b/multiagent/layouts/testClassic.lay
@@ -0,0 +1,10 @@
+%%%%%
+% . %
+%.G.%
+% . %
+%. .%
+%   %
+%  .%
+%   %
+%P .%
+%%%%%
diff --git a/multiagent/layouts/trappedClassic.lay b/multiagent/layouts/trappedClassic.lay
new file mode 100644
index 0000000..289557f
--- /dev/null
+++ b/multiagent/layouts/trappedClassic.lay
@@ -0,0 +1,5 @@
+%%%%%%%%
+%   P G%
+%G%%%%%%
+%....  %
+%%%%%%%%
diff --git a/multiagent/layouts/trickyClassic.lay b/multiagent/layouts/trickyClassic.lay
new file mode 100644
index 0000000..ffa156c
--- /dev/null
+++ b/multiagent/layouts/trickyClassic.lay
@@ -0,0 +1,13 @@
+%%%%%%%%%%%%%%%%%%%%
+%o...%........%...o%
+%.%%.%.%%..%%.%.%%.%
+%.%.....%..%.....%.%
+%.%.%%.%%  %%.%%.%.%
+%...... GGGG%.%....%
+%.%....%%%%%%.%..%.%
+%.%....%  oo%.%..%.%
+%.%....% %%%%.%..%.%
+%.%...........%..%.%
+%.%%.%.%%%%%%.%.%%.%
+%o...%...P....%...o%
+%%%%%%%%%%%%%%%%%%%%
diff --git a/multiagent/multiAgents.py b/multiagent/multiAgents.py
new file mode 100644
index 0000000..02b0a94
--- /dev/null
+++ b/multiagent/multiAgents.py
@@ -0,0 +1,178 @@
+# multiAgents.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+# 
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from util import manhattanDistance
+from game import Directions
+import random, util
+
+from game import Agent
+
+class ReflexAgent(Agent):
+    """
+    A reflex agent chooses an action at each choice point by examining
+    its alternatives via a state evaluation function.
+
+    The code below is provided as a guide.  You are welcome to change
+    it in any way you see fit, so long as you don't touch our method
+    headers.
+    """
+
+
+    def getAction(self, gameState):
+        """
+        You do not need to change this method, but you're welcome to.
+
+        getAction chooses among the best options according to the evaluation function.
+
+        Just like in the previous project, getAction takes a GameState and returns
+        some Directions.X for some X in the set {NORTH, SOUTH, WEST, EAST, STOP}
+        """
+        # Collect legal moves and successor states
+        legalMoves = gameState.getLegalActions()
+
+        # Choose one of the best actions
+        scores = [self.evaluationFunction(gameState, action) for action in legalMoves]
+        bestScore = max(scores)
+        bestIndices = [index for index in range(len(scores)) if scores[index] == bestScore]
+        chosenIndex = random.choice(bestIndices) # Pick randomly among the best
+
+        "Add more of your code here if you want to"
+
+        return legalMoves[chosenIndex]
+
+    def evaluationFunction(self, currentGameState, action):
+        """
+        Design a better evaluation function here.
+
+        The evaluation function takes in the current and proposed successor
+        GameStates (pacman.py) and returns a number, where higher numbers are better.
+
+        The code below extracts some useful information from the state, like the
+        remaining food (newFood) and Pacman position after moving (newPos).
+        newScaredTimes holds the number of moves that each ghost will remain
+        scared because of Pacman having eaten a power pellet.
+
+        Print out these variables to see what you're getting, then combine them
+        to create a masterful evaluation function.
+        """
+        # Useful information you can extract from a GameState (pacman.py)
+        successorGameState = currentGameState.generatePacmanSuccessor(action)
+        newPos = successorGameState.getPacmanPosition()
+        newFood = successorGameState.getFood()
+        newGhostStates = successorGameState.getGhostStates()
+        newScaredTimes = [ghostState.scaredTimer for ghostState in newGhostStates]
+
+        "*** YOUR CODE HERE ***"
+        return successorGameState.getScore()
+
+def scoreEvaluationFunction(currentGameState):
+    """
+    This default evaluation function just returns the score of the state.
+    The score is the same one displayed in the Pacman GUI.
+
+    This evaluation function is meant for use with adversarial search agents
+    (not reflex agents).
+    """
+    return currentGameState.getScore()
+
+class MultiAgentSearchAgent(Agent):
+    """
+    This class provides some common elements to all of your
+    multi-agent searchers.  Any methods defined here will be available
+    to the MinimaxPacmanAgent, AlphaBetaPacmanAgent & ExpectimaxPacmanAgent.
+
+    You *do not* need to make any changes here, but you can if you want to
+    add functionality to all your adversarial search agents.  Please do not
+    remove anything, however.
+
+    Note: this is an abstract class: one that should not be instantiated.  It's
+    only partially specified, and designed to be extended.  Agent (game.py)
+    is another abstract class.
+    """
+
+    def __init__(self, evalFn = 'scoreEvaluationFunction', depth = '2'):
+        self.index = 0 # Pacman is always agent index 0
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        self.depth = int(depth)
+
+class MinimaxAgent(MultiAgentSearchAgent):
+    """
+    Your minimax agent (question 2)
+    """
+
+    def getAction(self, gameState):
+        """
+        Returns the minimax action from the current gameState using self.depth
+        and self.evaluationFunction.
+
+        Here are some method calls that might be useful when implementing minimax.
+
+        gameState.getLegalActions(agentIndex):
+        Returns a list of legal actions for an agent
+        agentIndex=0 means Pacman, ghosts are >= 1
+
+        gameState.generateSuccessor(agentIndex, action):
+        Returns the successor game state after an agent takes an action
+
+        gameState.getNumAgents():
+        Returns the total number of agents in the game
+
+        gameState.isWin():
+        Returns whether or not the game state is a winning state
+
+        gameState.isLose():
+        Returns whether or not the game state is a losing state
+        """
+        "*** YOUR CODE HERE ***"
+        util.raiseNotDefined()
+
+class AlphaBetaAgent(MultiAgentSearchAgent):
+    """
+    Your minimax agent with alpha-beta pruning (question 3)
+    """
+
+    def getAction(self, gameState):
+        """
+        Returns the minimax action using self.depth and self.evaluationFunction
+        """
+        "*** YOUR CODE HERE ***"
+        util.raiseNotDefined()
+
+class ExpectimaxAgent(MultiAgentSearchAgent):
+    """
+      Your expectimax agent (question 4)
+    """
+
+    def getAction(self, gameState):
+        """
+        Returns the expectimax action using self.depth and self.evaluationFunction
+
+        All ghosts should be modeled as choosing uniformly at random from their
+        legal moves.
+        """
+        "*** YOUR CODE HERE ***"
+        util.raiseNotDefined()
+
+def betterEvaluationFunction(currentGameState):
+    """
+    Your extreme ghost-hunting, pellet-nabbing, food-gobbling, unstoppable
+    evaluation function (question 5).
+
+    DESCRIPTION: 
+    """
+    "*** YOUR CODE HERE ***"
+    util.raiseNotDefined()
+
+# Abbreviation
+better = betterEvaluationFunction
diff --git a/multiagent/multiagentTestClasses.py b/multiagent/multiagentTestClasses.py
new file mode 100644
index 0000000..f437a33
--- /dev/null
+++ b/multiagent/multiagentTestClasses.py
@@ -0,0 +1,578 @@
+# multiagentTestClasses.py
+# ------------------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# A minimax tree which interfaces like gameState
+#     state.getNumAgents()
+#     state.isWin()
+#     state.isLose()
+#     state.generateSuccessor(agentIndex, action)
+#     state.getScore()
+#           used by multiAgents.scoreEvaluationFunction, which is the default
+#
+import testClasses
+import json
+
+from collections import defaultdict
+from pprint import PrettyPrinter
+pp = PrettyPrinter()
+
+from game import Agent
+from pacman import GameState
+from ghostAgents import RandomGhost, DirectionalGhost
+import random
+import math
+import traceback
+import sys
+import os
+import layout
+import pacman
+import autograder
+# import grading
+
+VERBOSE = False
+
+
+class MultiagentTreeState(object):
+    def __init__(self, problem, state):
+        self.problem = problem
+        self.state = state
+
+    def generateSuccessor(self, agentIndex, action):
+        if VERBOSE:
+            print("generateSuccessor(%s, %s, %s) -> %s" % (self.state, agentIndex,
+                                                           action, self.problem.stateToSuccessorMap[self.state][action]))
+        successor = self.problem.stateToSuccessorMap[self.state][action]
+        self.problem.generatedStates.add(successor)
+        return MultiagentTreeState(self.problem, successor)
+
+    def getScore(self):
+        if VERBOSE:
+            print("getScore(%s) -> %s" %
+                  (self.state, self.problem.evaluation[self.state]))
+        if self.state not in self.problem.evaluation:
+            raise Exception(
+                'getScore() called on non-terminal state or before maximum depth achieved.')
+        return float(self.problem.evaluation[self.state])
+
+    def getLegalActions(self, agentIndex=0):
+        if VERBOSE:
+            print("getLegalActions(%s) -> %s" %
+                  (self.state, self.problem.stateToActions[self.state]))
+        # if len(self.problem.stateToActions[self.state]) == 0:
+        #    print "WARNING: getLegalActions called on leaf state %s" % (self.state,)
+        return list(self.problem.stateToActions[self.state])
+
+    def isWin(self):
+        if VERBOSE:
+            print("isWin(%s) -> %s" %
+                  (self.state, self.state in self.problem.winStates))
+        return self.state in self.problem.winStates
+
+    def isLose(self):
+        if VERBOSE:
+            print("isLose(%s) -> %s" %
+                  (self.state, self.state in self.problem.loseStates))
+        return self.state in self.problem.loseStates
+
+    def getNumAgents(self):
+        if VERBOSE:
+            print("getNumAgents(%s) -> %s" %
+                  (self.state, self.problem.numAgents))
+        return self.problem.numAgents
+
+
+class MultiagentTreeProblem(object):
+    def __init__(self, numAgents, startState, winStates, loseStates, successors, evaluation):
+        self.startState = MultiagentTreeState(self, startState)
+
+        self.numAgents = numAgents
+        self.winStates = winStates
+        self.loseStates = loseStates
+        self.evaluation = evaluation
+        self.successors = successors
+
+        self.reset()
+
+        self.stateToSuccessorMap = defaultdict(dict)
+        self.stateToActions = defaultdict(list)
+        for state, action, nextState in successors:
+            self.stateToActions[state].append(action)
+            self.stateToSuccessorMap[state][action] = nextState
+
+    def reset(self):
+        self.generatedStates = set([self.startState.state])
+
+
+def parseTreeProblem(testDict):
+    numAgents = int(testDict["num_agents"])
+    startState = testDict["start_state"]
+    winStates = set(testDict["win_states"].split(" "))
+    loseStates = set(testDict["lose_states"].split(" "))
+    successors = []
+
+    evaluation = {}
+    for line in testDict["evaluation"].split('\n'):
+        tokens = line.split()
+        if len(tokens) == 2:
+            state, value = tokens
+            evaluation[state] = float(value)
+        else:
+            raise Exception("[parseTree] Bad evaluation line: |%s|" % (line,))
+
+    for line in testDict["successors"].split('\n'):
+        tokens = line.split()
+        if len(tokens) == 3:
+            state, action, nextState = tokens
+            successors.append((state, action, nextState))
+        else:
+            raise Exception("[parseTree] Bad successor line: |%s|" % (line,))
+
+    return MultiagentTreeProblem(numAgents, startState, winStates, loseStates, successors, evaluation)
+
+
+def run(lay, layName, pac, ghosts, disp, nGames=1, name='games'):
+    """
+    Runs a few games and outputs their statistics.
+    """
+    starttime = time.time()
+    print('*** Running %s on' % name, layName, '%d time(s).' % nGames)
+    games = pacman.runGames(lay, pac, ghosts, disp,
+                            nGames, False, catchExceptions=True, timeout=120)
+    print('*** Finished running %s on' % name, layName,
+          'after %d seconds.' % (time.time() - starttime))
+    stats = {'time': time.time() - starttime, 'wins': [g.state.isWin() for g in games].count(True), 'games': games, 'scores': [g.state.getScore() for g in games],
+             'timeouts': [g.agentTimeout for g in games].count(True), 'crashes': [g.agentCrashed for g in games].count(True)}
+    print('*** Won %d out of %d games. Average score: %f ***' %
+          (stats['wins'], len(games), sum(stats['scores']) * 1.0 / len(games)))
+    return stats
+
+
+class GradingAgent(Agent):
+    def __init__(self, seed, studentAgent, optimalActions, altDepthActions, partialPlyBugActions):
+        # save student agent and actions of refernce agents
+        self.studentAgent = studentAgent
+        self.optimalActions = optimalActions
+        self.altDepthActions = altDepthActions
+        self.partialPlyBugActions = partialPlyBugActions
+        # create fields for storing specific wrong actions
+        self.suboptimalMoves = []
+        self.wrongStatesExplored = -1
+        # boolean vectors represent types of implementation the student could have
+        self.actionsConsistentWithOptimal = [
+            True for i in range(len(optimalActions[0]))]
+        self.actionsConsistentWithAlternativeDepth = [
+            True for i in range(len(altDepthActions[0]))]
+        self.actionsConsistentWithPartialPlyBug = [
+            True for i in range(len(partialPlyBugActions[0]))]
+        # keep track of elapsed moves
+        self.stepCount = 0
+        self.seed = seed
+
+    def registerInitialState(self, state):
+        if 'registerInitialState' in dir(self.studentAgent):
+            self.studentAgent.registerInitialState(state)
+        random.seed(self.seed)
+
+    def getAction(self, state):
+        GameState.getAndResetExplored()
+        studentAction = (self.studentAgent.getAction(state),
+                         len(GameState.getAndResetExplored()))
+        optimalActions = self.optimalActions[self.stepCount]
+        altDepthActions = self.altDepthActions[self.stepCount]
+        partialPlyBugActions = self.partialPlyBugActions[self.stepCount]
+        studentOptimalAction = False
+        curRightStatesExplored = False
+        for i in range(len(optimalActions)):
+            if studentAction[0] in optimalActions[i][0]:
+                studentOptimalAction = True
+            else:
+                self.actionsConsistentWithOptimal[i] = False
+            if studentAction[1] == int(optimalActions[i][1]):
+                curRightStatesExplored = True
+        if not curRightStatesExplored and self.wrongStatesExplored < 0:
+            self.wrongStatesExplored = 1
+        for i in range(len(altDepthActions)):
+            if studentAction[0] not in altDepthActions[i]:
+                self.actionsConsistentWithAlternativeDepth[i] = False
+        for i in range(len(partialPlyBugActions)):
+            if studentAction[0] not in partialPlyBugActions[i]:
+                self.actionsConsistentWithPartialPlyBug[i] = False
+        if not studentOptimalAction:
+            self.suboptimalMoves.append(
+                (state, studentAction[0], optimalActions[0][0][0]))
+        self.stepCount += 1
+        random.seed(self.seed + self.stepCount)
+        return optimalActions[0][0][0]
+
+    def getSuboptimalMoves(self):
+        return self.suboptimalMoves
+
+    def getWrongStatesExplored(self):
+        return self.wrongStatesExplored
+
+    def checkFailure(self):
+        """
+        Return +n if have n suboptimal moves.
+        Return -1 if have only off by one depth moves.
+        Return 0 otherwise.
+        """
+        if self.wrongStatesExplored > 0:
+            return -3
+        if self.actionsConsistentWithOptimal.count(True) > 0:
+            return 0
+        elif self.actionsConsistentWithPartialPlyBug.count(True) > 0:
+            return -2
+        elif self.actionsConsistentWithAlternativeDepth.count(True) > 0:
+            return -1
+        else:
+            return len(self.suboptimalMoves)
+
+
+class PolyAgent(Agent):
+    def __init__(self, seed, multiAgents, ourPacOptions, depth):
+        # prepare our pacman agents
+        solutionAgents, alternativeDepthAgents, partialPlyBugAgents = self.construct_our_pacs(
+            multiAgents, ourPacOptions)
+        for p in solutionAgents:
+            p.depth = depth
+        for p in partialPlyBugAgents:
+            p.depth = depth
+        for p in alternativeDepthAgents[:2]:
+            p.depth = max(1, depth - 1)
+        for p in alternativeDepthAgents[2:]:
+            p.depth = depth + 1
+        self.solutionAgents = solutionAgents
+        self.alternativeDepthAgents = alternativeDepthAgents
+        self.partialPlyBugAgents = partialPlyBugAgents
+        # prepare fields for storing the results
+        self.optimalActionLists = []
+        self.alternativeDepthLists = []
+        self.partialPlyBugLists = []
+        self.seed = seed
+        self.stepCount = 0
+
+    def select(self, list, indices):
+        """
+        Return a sublist of elements given by indices in list.
+        """
+        return [list[i] for i in indices]
+
+    def construct_our_pacs(self, multiAgents, keyword_dict):
+        pacs_without_stop = [multiAgents.StaffMultiAgentSearchAgent(
+            **keyword_dict) for i in range(3)]
+        keyword_dict['keepStop'] = 'True'
+        pacs_with_stop = [multiAgents.StaffMultiAgentSearchAgent(
+            **keyword_dict) for i in range(3)]
+        keyword_dict['usePartialPlyBug'] = 'True'
+        partial_ply_bug_pacs = [
+            multiAgents.StaffMultiAgentSearchAgent(**keyword_dict)]
+        keyword_dict['keepStop'] = 'False'
+        partial_ply_bug_pacs = partial_ply_bug_pacs + \
+            [multiAgents.StaffMultiAgentSearchAgent(**keyword_dict)]
+        for pac in pacs_with_stop + pacs_without_stop + partial_ply_bug_pacs:
+            pac.verbose = False
+        ourpac = [pacs_with_stop[0], pacs_without_stop[0]]
+        alternative_depth_pacs = self.select(
+            pacs_with_stop + pacs_without_stop, [1, 4, 2, 5])
+        return (ourpac, alternative_depth_pacs, partial_ply_bug_pacs)
+
+    def registerInitialState(self, state):
+        for agent in self.solutionAgents + self.alternativeDepthAgents:
+            if 'registerInitialState' in dir(agent):
+                agent.registerInitialState(state)
+        random.seed(self.seed)
+
+    def getAction(self, state):
+        # survey agents
+        GameState.getAndResetExplored()
+        optimalActionLists = []
+        for agent in self.solutionAgents:
+            optimalActionLists.append((agent.getBestPacmanActions(
+                state)[0], len(GameState.getAndResetExplored())))
+        alternativeDepthLists = [agent.getBestPacmanActions(
+            state)[0] for agent in self.alternativeDepthAgents]
+        partialPlyBugLists = [agent.getBestPacmanActions(
+            state)[0] for agent in self.partialPlyBugAgents]
+        # record responses
+        self.optimalActionLists.append(optimalActionLists)
+        self.alternativeDepthLists.append(alternativeDepthLists)
+        self.partialPlyBugLists.append(partialPlyBugLists)
+        self.stepCount += 1
+        random.seed(self.seed + self.stepCount)
+        return optimalActionLists[0][0][0]
+
+    def getTraces(self):
+        # return traces from individual agents
+        return (self.optimalActionLists, self.alternativeDepthLists, self.partialPlyBugLists)
+
+
+class PacmanGameTreeTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(PacmanGameTreeTest, self).__init__(question, testDict)
+        self.seed = int(self.testDict['seed'])
+        self.alg = self.testDict['alg']
+        self.layout_text = self.testDict['layout']
+        self.layout_name = self.testDict['layoutName']
+        self.depth = int(self.testDict['depth'])
+        self.max_points = int(self.testDict['max_points'])
+
+    def execute(self, grades, moduleDict, solutionDict):
+        # load student code and staff code solutions
+        multiAgents = moduleDict['multiAgents']
+        studentAgent = getattr(multiAgents, self.alg)(depth=self.depth)
+        allActions = [json.loads(x)
+                      for x in solutionDict['optimalActions'].split('\n')]
+        altDepthActions = [json.loads(
+            x) for x in solutionDict['altDepthActions'].split('\n')]
+        partialPlyBugActions = [json.loads(
+            x) for x in solutionDict['partialPlyBugActions'].split('\n')]
+        # set up game state and play a game
+        random.seed(self.seed)
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        pac = GradingAgent(self.seed, studentAgent, allActions,
+                           altDepthActions, partialPlyBugActions)
+        # check return codes and assign grades
+        disp = self.question.getDisplay()
+        stats = run(lay, self.layout_name, pac, [DirectionalGhost(
+            i + 1) for i in range(2)], disp, name=self.alg)
+        if stats['timeouts'] > 0:
+            self.addMessage('Agent timed out on smallClassic.  No credit')
+            return self.testFail(grades)
+        if stats['crashes'] > 0:
+            self.addMessage('Agent crashed on smallClassic.  No credit')
+            return self.testFail(grades)
+        code = pac.checkFailure()
+        if code == 0:
+            return self.testPass(grades)
+        elif code == -3:
+            if pac.getWrongStatesExplored() >= 0:
+                self.addMessage('Bug: Wrong number of states expanded.')
+                return self.testFail(grades)
+            else:
+                return self.testPass(grades)
+        elif code == -2:
+            self.addMessage('Bug: Partial Ply Bug')
+            return self.testFail(grades)
+        elif code == -1:
+            self.addMessage('Bug: Search depth off by 1')
+            return self.testFail(grades)
+        elif code > 0:
+            moves = pac.getSuboptimalMoves()
+            state, studentMove, optMove = random.choice(moves)
+            self.addMessage('Bug: Suboptimal moves')
+            self.addMessage('State:%s\nStudent Move:%s\nOptimal Move:%s' % (
+                state, studentMove, optMove))
+            return self.testFail(grades)
+
+    def writeList(self, handle, name, list):
+        handle.write('%s: """\n' % name)
+        for l in list:
+            handle.write('%s\n' % json.dumps(l))
+        handle.write('"""\n')
+
+    def writeSolution(self, moduleDict, filePath):
+        # load module, set seed, create ghosts and macman, run game
+        multiAgents = moduleDict['multiAgents']
+        random.seed(self.seed)
+        lay = layout.Layout([l.strip() for l in self.layout_text.split('\n')])
+        if self.alg == 'ExpectimaxAgent':
+            ourPacOptions = {'expectimax': 'True'}
+        elif self.alg == 'AlphaBetaAgent':
+            ourPacOptions = {'alphabeta': 'True'}
+        else:
+            ourPacOptions = {}
+        pac = PolyAgent(self.seed, multiAgents, ourPacOptions, self.depth)
+        disp = self.question.getDisplay()
+        run(lay, self.layout_name, pac, [DirectionalGhost(
+            i + 1) for i in range(2)], disp, name=self.alg)
+        (optimalActions, altDepthActions, partialPlyBugActions) = pac.getTraces()
+        # recover traces and record to file
+        handle = open(filePath, 'w')
+        self.writeList(handle, 'optimalActions', optimalActions)
+        self.writeList(handle, 'altDepthActions', altDepthActions)
+        self.writeList(handle, 'partialPlyBugActions', partialPlyBugActions)
+        handle.close()
+
+
+class GraphGameTreeTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(GraphGameTreeTest, self).__init__(question, testDict)
+        self.problem = parseTreeProblem(testDict)
+        self.alg = self.testDict['alg']
+        self.diagram = self.testDict['diagram'].split('\n')
+        self.depth = int(self.testDict['depth'])
+
+    def solveProblem(self, multiAgents):
+        self.problem.reset()
+        studentAgent = getattr(multiAgents, self.alg)(depth=self.depth)
+        action = studentAgent.getAction(self.problem.startState)
+        generated = self.problem.generatedStates
+        return action, " ".join([str(s) for s in sorted(generated)])
+
+    def addDiagram(self):
+        self.addMessage('Tree:')
+        for line in self.diagram:
+            self.addMessage(line)
+
+    def execute(self, grades, moduleDict, solutionDict):
+        multiAgents = moduleDict['multiAgents']
+        goldAction = solutionDict['action']
+        goldGenerated = solutionDict['generated']
+        action, generated = self.solveProblem(multiAgents)
+
+        fail = False
+        if action != goldAction:
+            self.addMessage('Incorrect move for depth=%s' % (self.depth,))
+            self.addMessage(
+                '    Student move: %s\n    Optimal move: %s' % (action, goldAction))
+            fail = True
+
+        if generated != goldGenerated:
+            self.addMessage(
+                'Incorrect generated nodes for depth=%s' % (self.depth,))
+            self.addMessage('    Student generated nodes: %s\n    Correct generated nodes: %s' % (
+                generated, goldGenerated))
+            fail = True
+
+        if fail:
+            self.addDiagram()
+            return self.testFail(grades)
+        else:
+            return self.testPass(grades)
+
+    def writeSolution(self, moduleDict, filePath):
+        multiAgents = moduleDict['multiAgents']
+        action, generated = self.solveProblem(multiAgents)
+        with open(filePath, 'w') as handle:
+            handle.write('# This is the solution file for %s.\n' % self.path)
+            handle.write('action: "%s"\n' % (action,))
+            handle.write('generated: "%s"\n' % (generated,))
+        return True
+
+
+import time
+from util import TimeoutFunction
+
+
+class EvalAgentTest(testClasses.TestCase):
+
+    def __init__(self, question, testDict):
+        super(EvalAgentTest, self).__init__(question, testDict)
+        self.layoutName = testDict['layoutName']
+        self.agentName = testDict['agentName']
+        self.ghosts = eval(testDict['ghosts'])
+        self.maxTime = int(testDict['maxTime'])
+        self.seed = int(testDict['randomSeed'])
+        self.numGames = int(testDict['numGames'])
+
+        self.scoreMinimum = int(
+            testDict['scoreMinimum']) if 'scoreMinimum' in testDict else None
+        self.nonTimeoutMinimum = int(
+            testDict['nonTimeoutMinimum']) if 'nonTimeoutMinimum' in testDict else None
+        self.winsMinimum = int(
+            testDict['winsMinimum']) if 'winsMinimum' in testDict else None
+
+        self.scoreThresholds = [int(s) for s in testDict.get(
+            'scoreThresholds', '').split()]
+        self.nonTimeoutThresholds = [int(s) for s in testDict.get(
+            'nonTimeoutThresholds', '').split()]
+        self.winsThresholds = [int(s) for s in testDict.get(
+            'winsThresholds', '').split()]
+
+        self.maxPoints = sum([len(t) for t in [
+                             self.scoreThresholds, self.nonTimeoutThresholds, self.winsThresholds]])
+        self.agentArgs = testDict.get('agentArgs', '')
+
+    def execute(self, grades, moduleDict, solutionDict):
+        startTime = time.time()
+
+        agentType = getattr(moduleDict['multiAgents'], self.agentName)
+        agentOpts = pacman.parseAgentArgs(
+            self.agentArgs) if self.agentArgs != '' else {}
+        agent = agentType(**agentOpts)
+
+        lay = layout.getLayout(self.layoutName, 3)
+
+        disp = self.question.getDisplay()
+
+        random.seed(self.seed)
+        games = pacman.runGames(lay, agent, self.ghosts, disp, self.numGames,
+                                False, catchExceptions=True, timeout=self.maxTime)
+        totalTime = time.time() - startTime
+
+        stats = {'time': totalTime, 'wins': [g.state.isWin() for g in games].count(True),
+                 'games': games, 'scores': [g.state.getScore() for g in games],
+                 'timeouts': [g.agentTimeout for g in games].count(True), 'crashes': [g.agentCrashed for g in games].count(True)}
+
+        averageScore = sum(stats['scores']) / float(len(stats['scores']))
+        nonTimeouts = self.numGames - stats['timeouts']
+        wins = stats['wins']
+
+        def gradeThreshold(value, minimum, thresholds, name):
+            points = 0
+            passed = (minimum == None) or (value >= minimum)
+            if passed:
+                for t in thresholds:
+                    if value >= t:
+                        points += 1
+            return (passed, points, value, minimum, thresholds, name)
+
+        results = [gradeThreshold(averageScore, self.scoreMinimum, self.scoreThresholds, "average score"),
+                   gradeThreshold(nonTimeouts, self.nonTimeoutMinimum,
+                                  self.nonTimeoutThresholds, "games not timed out"),
+                   gradeThreshold(wins, self.winsMinimum, self.winsThresholds, "wins")]
+
+        totalPoints = 0
+        for passed, points, value, minimum, thresholds, name in results:
+            if minimum == None and len(thresholds) == 0:
+                continue
+
+            # print passed, points, value, minimum, thresholds, name
+            totalPoints += points
+            if not passed:
+                assert points == 0
+                self.addMessage(
+                    "%s %s (fail: below minimum value %s)" % (value, name, minimum))
+            else:
+                self.addMessage("%s %s (%s of %s points)" %
+                                (value, name, points, len(thresholds)))
+
+            if minimum != None:
+                self.addMessage("    Grading scheme:")
+                self.addMessage("     < %s:  fail" % (minimum,))
+                if len(thresholds) == 0 or minimum != thresholds[0]:
+                    self.addMessage("    >= %s:  0 points" % (minimum,))
+                for idx, threshold in enumerate(thresholds):
+                    self.addMessage("    >= %s:  %s points" %
+                                    (threshold, idx+1))
+            elif len(thresholds) > 0:
+                self.addMessage("    Grading scheme:")
+                self.addMessage("     < %s:  0 points" % (thresholds[0],))
+                for idx, threshold in enumerate(thresholds):
+                    self.addMessage("    >= %s:  %s points" %
+                                    (threshold, idx+1))
+
+        if any([not passed for passed, _, _, _, _, _ in results]):
+            totalPoints = 0
+
+        return self.testPartial(grades, totalPoints, self.maxPoints)
+
+    def writeSolution(self, moduleDict, filePath):
+        handle = open(filePath, 'w')
+        handle.write('# This is the solution file for %s.\n' % self.path)
+        handle.write('# File intentionally blank.\n')
+        handle.close()
+        return True
diff --git a/multiagent/pacman.py b/multiagent/pacman.py
new file mode 100644
index 0000000..4a63c34
--- /dev/null
+++ b/multiagent/pacman.py
@@ -0,0 +1,738 @@
+# pacman.py
+# ---------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+"""
+Pacman.py holds the logic for the classic pacman game along with the main
+code to run a game.  This file is divided into three sections:
+
+  (i)  Your interface to the pacman world:
+          Pacman is a complex environment.  You probably don't want to
+          read through all of the code we wrote to make the game runs
+          correctly.  This section contains the parts of the code
+          that you will need to understand in order to complete the
+          project.  There is also some code in game.py that you should
+          understand.
+
+  (ii)  The hidden secrets of pacman:
+          This section contains all of the logic code that the pacman
+          environment uses to decide who can move where, who dies when
+          things collide, etc.  You shouldn't need to read this section
+          of code, but you can if you want.
+
+  (iii) Framework to start a game:
+          The final section contains the code for reading the command
+          you use to set up the game, then starting up a new game, along with
+          linking in all the external parts (agent functions, graphics).
+          Check this section out to see all the options available to you.
+
+To play your first game, type 'python pacman.py' from the command line.
+The keys are 'a', 's', 'd', and 'w' to move (or arrow keys).  Have fun!
+"""
+from game import GameStateData
+from game import Game
+from game import Directions
+from game import Actions
+from util import nearestPoint
+from util import manhattanDistance
+import util
+import layout
+import sys
+import types
+import time
+import random
+import os
+
+###################################################
+# YOUR INTERFACE TO THE PACMAN WORLD: A GameState #
+###################################################
+
+
+class GameState:
+    """
+    A GameState specifies the full game state, including the food, capsules,
+    agent configurations and score changes.
+
+    GameStates are used by the Game object to capture the actual state of the game and
+    can be used by agents to reason about the game.
+
+    Much of the information in a GameState is stored in a GameStateData object.  We
+    strongly suggest that you access that data via the accessor methods below rather
+    than referring to the GameStateData object directly.
+
+    Note that in classic Pacman, Pacman is always agent 0.
+    """
+
+    ####################################################
+    # Accessor methods: use these to access state data #
+    ####################################################
+
+    # static variable keeps track of which states have had getLegalActions called
+    explored = set()
+
+    def getAndResetExplored():
+        tmp = GameState.explored.copy()
+        GameState.explored = set()
+        return tmp
+    getAndResetExplored = staticmethod(getAndResetExplored)
+
+    def getLegalActions(self, agentIndex=0):
+        """
+        Returns the legal actions for the agent specified.
+        """
+#        GameState.explored.add(self)
+        if self.isWin() or self.isLose():
+            return []
+
+        if agentIndex == 0:  # Pacman is moving
+            return PacmanRules.getLegalActions(self)
+        else:
+            return GhostRules.getLegalActions(self, agentIndex)
+
+    def generateSuccessor(self, agentIndex, action):
+        """
+        Returns the successor state after the specified agent takes the action.
+        """
+        # Check that successors exist
+        if self.isWin() or self.isLose():
+            raise Exception('Can\'t generate a successor of a terminal state.')
+
+        # Copy current state
+        state = GameState(self)
+
+        # Let agent's logic deal with its action's effects on the board
+        if agentIndex == 0:  # Pacman is moving
+            state.data._eaten = [False for i in range(state.getNumAgents())]
+            PacmanRules.applyAction(state, action)
+        else:                # A ghost is moving
+            GhostRules.applyAction(state, action, agentIndex)
+
+        # Time passes
+        if agentIndex == 0:
+            state.data.scoreChange += -TIME_PENALTY  # Penalty for waiting around
+        else:
+            GhostRules.decrementTimer(state.data.agentStates[agentIndex])
+
+        # Resolve multi-agent effects
+        GhostRules.checkDeath(state, agentIndex)
+
+        # Book keeping
+        state.data._agentMoved = agentIndex
+        state.data.score += state.data.scoreChange
+        GameState.explored.add(self)
+        GameState.explored.add(state)
+        return state
+
+    def getLegalPacmanActions(self):
+        return self.getLegalActions(0)
+
+    def generatePacmanSuccessor(self, action):
+        """
+        Generates the successor state after the specified pacman move
+        """
+        return self.generateSuccessor(0, action)
+
+    def getPacmanState(self):
+        """
+        Returns an AgentState object for pacman (in game.py)
+
+        state.pos gives the current position
+        state.direction gives the travel vector
+        """
+        return self.data.agentStates[0].copy()
+
+    def getPacmanPosition(self):
+        return self.data.agentStates[0].getPosition()
+
+    def getGhostStates(self):
+        return self.data.agentStates[1:]
+
+    def getGhostState(self, agentIndex):
+        if agentIndex == 0 or agentIndex >= self.getNumAgents():
+            raise Exception("Invalid index passed to getGhostState")
+        return self.data.agentStates[agentIndex]
+
+    def getGhostPosition(self, agentIndex):
+        if agentIndex == 0:
+            raise Exception("Pacman's index passed to getGhostPosition")
+        return self.data.agentStates[agentIndex].getPosition()
+
+    def getGhostPositions(self):
+        return [s.getPosition() for s in self.getGhostStates()]
+
+    def getNumAgents(self):
+        return len(self.data.agentStates)
+
+    def getScore(self):
+        return float(self.data.score)
+
+    def getCapsules(self):
+        """
+        Returns a list of positions (x,y) of the remaining capsules.
+        """
+        return self.data.capsules
+
+    def getNumFood(self):
+        return self.data.food.count()
+
+    def getFood(self):
+        """
+        Returns a Grid of boolean food indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is food at (x,y), just call
+
+        currentFood = state.getFood()
+        if currentFood[x][y] == True: ...
+        """
+        return self.data.food
+
+    def getWalls(self):
+        """
+        Returns a Grid of boolean wall indicator variables.
+
+        Grids can be accessed via list notation, so to check
+        if there is a wall at (x,y), just call
+
+        walls = state.getWalls()
+        if walls[x][y] == True: ...
+        """
+        return self.data.layout.walls
+
+    def hasFood(self, x, y):
+        return self.data.food[x][y]
+
+    def hasWall(self, x, y):
+        return self.data.layout.walls[x][y]
+
+    def isLose(self):
+        return self.data._lose
+
+    def isWin(self):
+        return self.data._win
+
+    #############################################
+    #             Helper methods:               #
+    # You shouldn't need to call these directly #
+    #############################################
+
+    def __init__(self, prevState=None):
+        """
+        Generates a new state by copying information from its predecessor.
+        """
+        if prevState != None:  # Initial state
+            self.data = GameStateData(prevState.data)
+        else:
+            self.data = GameStateData()
+
+    def deepCopy(self):
+        state = GameState(self)
+        state.data = self.data.deepCopy()
+        return state
+
+    def __eq__(self, other):
+        """
+        Allows two states to be compared.
+        """
+        return hasattr(other, 'data') and self.data == other.data
+
+    def __hash__(self):
+        """
+        Allows states to be keys of dictionaries.
+        """
+        return hash(self.data)
+
+    def __str__(self):
+
+        return str(self.data)
+
+    def initialize(self, layout, numGhostAgents=1000):
+        """
+        Creates an initial game state from a layout array (see layout.py).
+        """
+        self.data.initialize(layout, numGhostAgents)
+
+############################################################################
+#                     THE HIDDEN SECRETS OF PACMAN                         #
+#                                                                          #
+# You shouldn't need to look through the code in this section of the file. #
+############################################################################
+
+
+SCARED_TIME = 40    # Moves ghosts are scared
+COLLISION_TOLERANCE = 0.7  # How close ghosts must be to Pacman to kill
+TIME_PENALTY = 1  # Number of points lost each round
+
+
+class ClassicGameRules:
+    """
+    These game rules manage the control flow of a game, deciding when
+    and how the game starts and ends.
+    """
+
+    def __init__(self, timeout=30):
+        self.timeout = timeout
+
+    def newGame(self, layout, pacmanAgent, ghostAgents, display, quiet=False, catchExceptions=False):
+        agents = [pacmanAgent] + ghostAgents[:layout.getNumGhosts()]
+        initState = GameState()
+        initState.initialize(layout, len(ghostAgents))
+        game = Game(agents, display, self, catchExceptions=catchExceptions)
+        game.state = initState
+        self.initialState = initState.deepCopy()
+        self.quiet = quiet
+        return game
+
+    def process(self, state, game):
+        """
+        Checks to see whether it is time to end the game.
+        """
+        if state.isWin():
+            self.win(state, game)
+        if state.isLose():
+            self.lose(state, game)
+
+    def win(self, state, game):
+        if not self.quiet:
+            print("Pacman emerges victorious! Score: %d" % state.data.score)
+        game.gameOver = True
+
+    def lose(self, state, game):
+        if not self.quiet:
+            print("Pacman died! Score: %d" % state.data.score)
+        game.gameOver = True
+
+    def getProgress(self, game):
+        return float(game.state.getNumFood()) / self.initialState.getNumFood()
+
+    def agentCrash(self, game, agentIndex):
+        if agentIndex == 0:
+            print("Pacman crashed")
+        else:
+            print("A ghost crashed")
+
+    def getMaxTotalTime(self, agentIndex):
+        return self.timeout
+
+    def getMaxStartupTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveWarningTime(self, agentIndex):
+        return self.timeout
+
+    def getMoveTimeout(self, agentIndex):
+        return self.timeout
+
+    def getMaxTimeWarnings(self, agentIndex):
+        return 0
+
+
+class PacmanRules:
+    """
+    These functions govern how pacman interacts with his environment under
+    the classic game rules.
+    """
+    PACMAN_SPEED = 1
+
+    def getLegalActions(state):
+        """
+        Returns a list of possible actions.
+        """
+        return Actions.getPossibleActions(state.getPacmanState().configuration, state.data.layout.walls)
+    getLegalActions = staticmethod(getLegalActions)
+
+    def applyAction(state, action):
+        """
+        Edits the state to reflect the results of the action.
+        """
+        legal = PacmanRules.getLegalActions(state)
+        if action not in legal:
+            raise Exception("Illegal action " + str(action))
+
+        pacmanState = state.data.agentStates[0]
+
+        # Update Configuration
+        vector = Actions.directionToVector(action, PacmanRules.PACMAN_SPEED)
+        pacmanState.configuration = pacmanState.configuration.generateSuccessor(
+            vector)
+
+        # Eat
+        next = pacmanState.configuration.getPosition()
+        nearest = nearestPoint(next)
+        if manhattanDistance(nearest, next) <= 0.5:
+            # Remove food
+            PacmanRules.consume(nearest, state)
+    applyAction = staticmethod(applyAction)
+
+    def consume(position, state):
+        x, y = position
+        # Eat food
+        if state.data.food[x][y]:
+            state.data.scoreChange += 10
+            state.data.food = state.data.food.copy()
+            state.data.food[x][y] = False
+            state.data._foodEaten = position
+            # TODO: cache numFood?
+            numFood = state.getNumFood()
+            if numFood == 0 and not state.data._lose:
+                state.data.scoreChange += 500
+                state.data._win = True
+        # Eat capsule
+        if(position in state.getCapsules()):
+            state.data.capsules.remove(position)
+            state.data._capsuleEaten = position
+            # Reset all ghosts' scared timers
+            for index in range(1, len(state.data.agentStates)):
+                state.data.agentStates[index].scaredTimer = SCARED_TIME
+    consume = staticmethod(consume)
+
+
+class GhostRules:
+    """
+    These functions dictate how ghosts interact with their environment.
+    """
+    GHOST_SPEED = 1.0
+
+    def getLegalActions(state, ghostIndex):
+        """
+        Ghosts cannot stop, and cannot turn around unless they
+        reach a dead end, but can turn 90 degrees at intersections.
+        """
+        conf = state.getGhostState(ghostIndex).configuration
+        possibleActions = Actions.getPossibleActions(
+            conf, state.data.layout.walls)
+        reverse = Actions.reverseDirection(conf.direction)
+        if Directions.STOP in possibleActions:
+            possibleActions.remove(Directions.STOP)
+        if reverse in possibleActions and len(possibleActions) > 1:
+            possibleActions.remove(reverse)
+        return possibleActions
+    getLegalActions = staticmethod(getLegalActions)
+
+    def applyAction(state, action, ghostIndex):
+
+        legal = GhostRules.getLegalActions(state, ghostIndex)
+        if action not in legal:
+            raise Exception("Illegal ghost action " + str(action))
+
+        ghostState = state.data.agentStates[ghostIndex]
+        speed = GhostRules.GHOST_SPEED
+        if ghostState.scaredTimer > 0:
+            speed /= 2.0
+        vector = Actions.directionToVector(action, speed)
+        ghostState.configuration = ghostState.configuration.generateSuccessor(
+            vector)
+    applyAction = staticmethod(applyAction)
+
+    def decrementTimer(ghostState):
+        timer = ghostState.scaredTimer
+        if timer == 1:
+            ghostState.configuration.pos = nearestPoint(
+                ghostState.configuration.pos)
+        ghostState.scaredTimer = max(0, timer - 1)
+    decrementTimer = staticmethod(decrementTimer)
+
+    def checkDeath(state, agentIndex):
+        pacmanPosition = state.getPacmanPosition()
+        if agentIndex == 0:  # Pacman just moved; Anyone can kill him
+            for index in range(1, len(state.data.agentStates)):
+                ghostState = state.data.agentStates[index]
+                ghostPosition = ghostState.configuration.getPosition()
+                if GhostRules.canKill(pacmanPosition, ghostPosition):
+                    GhostRules.collide(state, ghostState, index)
+        else:
+            ghostState = state.data.agentStates[agentIndex]
+            ghostPosition = ghostState.configuration.getPosition()
+            if GhostRules.canKill(pacmanPosition, ghostPosition):
+                GhostRules.collide(state, ghostState, agentIndex)
+    checkDeath = staticmethod(checkDeath)
+
+    def collide(state, ghostState, agentIndex):
+        if ghostState.scaredTimer > 0:
+            state.data.scoreChange += 200
+            GhostRules.placeGhost(state, ghostState)
+            ghostState.scaredTimer = 0
+            # Added for first-person
+            state.data._eaten[agentIndex] = True
+        else:
+            if not state.data._win:
+                state.data.scoreChange -= 500
+                state.data._lose = True
+    collide = staticmethod(collide)
+
+    def canKill(pacmanPosition, ghostPosition):
+        return manhattanDistance(ghostPosition, pacmanPosition) <= COLLISION_TOLERANCE
+    canKill = staticmethod(canKill)
+
+    def placeGhost(state, ghostState):
+        ghostState.configuration = ghostState.start
+    placeGhost = staticmethod(placeGhost)
+
+#############################
+# FRAMEWORK TO START A GAME #
+#############################
+
+
+def default(str):
+    return str + ' [Default: %default]'
+
+
+def parseAgentArgs(str):
+    if str == None:
+        return {}
+    pieces = str.split(',')
+    opts = {}
+    for p in pieces:
+        if '=' in p:
+            key, val = p.split('=')
+        else:
+            key, val = p, 1
+        opts[key] = val
+    return opts
+
+
+def readCommand(argv):
+    """
+    Processes the command used to run pacman from the command line.
+    """
+    from optparse import OptionParser
+    usageStr = """
+    USAGE:      python pacman.py 
+    EXAMPLES:   (1) python pacman.py
+                    - starts an interactive game
+                (2) python pacman.py --layout smallClassic --zoom 2
+                OR  python pacman.py -l smallClassic -z 2
+                    - starts an interactive game on a smaller board, zoomed in
+    """
+    parser = OptionParser(usageStr)
+
+    parser.add_option('-n', '--numGames', dest='numGames', type='int',
+                      help=default('the number of GAMES to play'), metavar='GAMES', default=1)
+    parser.add_option('-l', '--layout', dest='layout',
+                      help=default(
+                          'the LAYOUT_FILE from which to load the map layout'),
+                      metavar='LAYOUT_FILE', default='mediumClassic')
+    parser.add_option('-p', '--pacman', dest='pacman',
+                      help=default(
+                          'the agent TYPE in the pacmanAgents module to use'),
+                      metavar='TYPE', default='KeyboardAgent')
+    parser.add_option('-t', '--textGraphics', action='store_true', dest='textGraphics',
+                      help='Display output as text only', default=False)
+    parser.add_option('-q', '--quietTextGraphics', action='store_true', dest='quietGraphics',
+                      help='Generate minimal output and no graphics', default=False)
+    parser.add_option('-g', '--ghosts', dest='ghost',
+                      help=default(
+                          'the ghost agent TYPE in the ghostAgents module to use'),
+                      metavar='TYPE', default='RandomGhost')
+    parser.add_option('-k', '--numghosts', type='int', dest='numGhosts',
+                      help=default('The maximum number of ghosts to use'), default=4)
+    parser.add_option('-z', '--zoom', type='float', dest='zoom',
+                      help=default('Zoom the size of the graphics window'), default=1.0)
+    parser.add_option('-f', '--fixRandomSeed', action='store_true', dest='fixRandomSeed',
+                      help='Fixes the random seed to always play the same game', default=False)
+    parser.add_option('-r', '--recordActions', action='store_true', dest='record',
+                      help='Writes game histories to a file (named by the time they were played)', default=False)
+    parser.add_option('--replay', dest='gameToReplay',
+                      help='A recorded game file (pickle) to replay', default=None)
+    parser.add_option('-a', '--agentArgs', dest='agentArgs',
+                      help='Comma separated values sent to agent. e.g. "opt1=val1,opt2,opt3=val3"')
+    parser.add_option('-x', '--numTraining', dest='numTraining', type='int',
+                      help=default('How many episodes are training (suppresses output)'), default=0)
+    parser.add_option('--frameTime', dest='frameTime', type='float',
+                      help=default('Time to delay between frames; <0 means keyboard'), default=0.1)
+    parser.add_option('-c', '--catchExceptions', action='store_true', dest='catchExceptions',
+                      help='Turns on exception handling and timeouts during games', default=False)
+    parser.add_option('--timeout', dest='timeout', type='int',
+                      help=default('Maximum length of time an agent can spend computing in a single game'), default=30)
+
+    options, otherjunk = parser.parse_args(argv)
+    if len(otherjunk) != 0:
+        raise Exception('Command line input not understood: ' + str(otherjunk))
+    args = dict()
+
+    # Fix the random seed
+    if options.fixRandomSeed:
+        random.seed('cs188')
+
+    # Choose a layout
+    args['layout'] = layout.getLayout(options.layout)
+    if args['layout'] == None:
+        raise Exception("The layout " + options.layout + " cannot be found")
+
+    # Choose a Pacman agent
+    noKeyboard = options.gameToReplay == None and (
+        options.textGraphics or options.quietGraphics)
+    pacmanType = loadAgent(options.pacman, noKeyboard)
+    agentOpts = parseAgentArgs(options.agentArgs)
+    if options.numTraining > 0:
+        args['numTraining'] = options.numTraining
+        if 'numTraining' not in agentOpts:
+            agentOpts['numTraining'] = options.numTraining
+    pacman = pacmanType(**agentOpts)  # Instantiate Pacman with agentArgs
+    args['pacman'] = pacman
+
+    # Don't display training games
+    if 'numTrain' in agentOpts:
+        options.numQuiet = int(agentOpts['numTrain'])
+        options.numIgnore = int(agentOpts['numTrain'])
+
+    # Choose a ghost agent
+    ghostType = loadAgent(options.ghost, noKeyboard)
+    args['ghosts'] = [ghostType(i+1) for i in range(options.numGhosts)]
+
+    # Choose a display format
+    if options.quietGraphics:
+        import textDisplay
+        args['display'] = textDisplay.NullGraphics()
+    elif options.textGraphics:
+        import textDisplay
+        textDisplay.SLEEP_TIME = options.frameTime
+        args['display'] = textDisplay.PacmanGraphics()
+    else:
+        import graphicsDisplay
+        args['display'] = graphicsDisplay.PacmanGraphics(
+            options.zoom, frameTime=options.frameTime)
+    args['numGames'] = options.numGames
+    args['record'] = options.record
+    args['catchExceptions'] = options.catchExceptions
+    args['timeout'] = options.timeout
+
+    # Special case: recorded games don't use the runGames method or args structure
+    if options.gameToReplay != None:
+        print('Replaying recorded game %s.' % options.gameToReplay)
+        import pickle
+        f = open(options.gameToReplay)
+        try:
+            recorded = pickle.load(f)
+        finally:
+            f.close()
+        recorded['display'] = args['display']
+        replayGame(**recorded)
+        sys.exit(0)
+
+    return args
+
+
+def loadAgent(pacman, nographics):
+    # Looks through all pythonPath Directories for the right module,
+    pythonPathStr = os.path.expandvars("$PYTHONPATH")
+    if pythonPathStr.find(';') == -1:
+        pythonPathDirs = pythonPathStr.split(':')
+    else:
+        pythonPathDirs = pythonPathStr.split(';')
+    pythonPathDirs.append('.')
+
+    for moduleDir in pythonPathDirs:
+        if not os.path.isdir(moduleDir):
+            continue
+        moduleNames = [f for f in os.listdir(
+            moduleDir) if f.endswith('gents.py')]
+        for modulename in moduleNames:
+            try:
+                module = __import__(modulename[:-3])
+            except ImportError:
+                continue
+            if pacman in dir(module):
+                if nographics and modulename == 'keyboardAgents.py':
+                    raise Exception(
+                        'Using the keyboard requires graphics (not text display)')
+                return getattr(module, pacman)
+    raise Exception('The agent ' + pacman +
+                    ' is not specified in any *Agents.py.')
+
+
+def replayGame(layout, actions, display):
+    import pacmanAgents
+    import ghostAgents
+    rules = ClassicGameRules()
+    agents = [pacmanAgents.GreedyAgent()] + [ghostAgents.RandomGhost(i+1)
+                                             for i in range(layout.getNumGhosts())]
+    game = rules.newGame(layout, agents[0], agents[1:], display)
+    state = game.state
+    display.initialize(state.data)
+
+    for action in actions:
+            # Execute the action
+        state = state.generateSuccessor(*action)
+        # Change the display
+        display.update(state.data)
+        # Allow for game specific conditions (winning, losing, etc.)
+        rules.process(state, game)
+
+    display.finish()
+
+
+def runGames(layout, pacman, ghosts, display, numGames, record, numTraining=0, catchExceptions=False, timeout=30):
+    import __main__
+    __main__.__dict__['_display'] = display
+
+    rules = ClassicGameRules(timeout)
+    games = []
+
+    for i in range(numGames):
+        beQuiet = i < numTraining
+        if beQuiet:
+                # Suppress output and graphics
+            import textDisplay
+            gameDisplay = textDisplay.NullGraphics()
+            rules.quiet = True
+        else:
+            gameDisplay = display
+            rules.quiet = False
+        game = rules.newGame(layout, pacman, ghosts,
+                             gameDisplay, beQuiet, catchExceptions)
+        game.run()
+        if not beQuiet:
+            games.append(game)
+
+        if record:
+            import time
+            import pickle
+            fname = ('recorded-game-%d' % (i + 1)) + \
+                '-'.join([str(t) for t in time.localtime()[1:6]])
+            f = file(fname, 'w')
+            components = {'layout': layout, 'actions': game.moveHistory}
+            pickle.dump(components, f)
+            f.close()
+
+    if (numGames-numTraining) > 0:
+        scores = [game.state.getScore() for game in games]
+        wins = [game.state.isWin() for game in games]
+        winRate = wins.count(True) / float(len(wins))
+        print('Average Score:', sum(scores) / float(len(scores)))
+        print('Scores:       ', ', '.join([str(score) for score in scores]))
+        print('Win Rate:      %d/%d (%.2f)' %
+              (wins.count(True), len(wins), winRate))
+        print('Record:       ', ', '.join(
+            [['Loss', 'Win'][int(w)] for w in wins]))
+
+    return games
+
+
+if __name__ == '__main__':
+    """
+    The main function called when pacman.py is run
+    from the command line:
+
+    > python pacman.py
+
+    See the usage string for more details.
+
+    > python pacman.py --help
+    """
+    args = readCommand(sys.argv[1:])  # Get game components based on input
+    runGames(**args)
+
+    # import cProfile
+    # cProfile.run("runGames( **args )")
+    pass
diff --git a/multiagent/pacmanAgents.py b/multiagent/pacmanAgents.py
new file mode 100644
index 0000000..a5d9feb
--- /dev/null
+++ b/multiagent/pacmanAgents.py
@@ -0,0 +1,63 @@
+# pacmanAgents.py
+# ---------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+from pacman import Directions
+from game import Agent
+import random
+import game
+import util
+
+
+class LeftTurnAgent(game.Agent):
+    "An agent that turns left at every opportunity"
+
+    def getAction(self, state):
+        legal = state.getLegalPacmanActions()
+        current = state.getPacmanState().configuration.direction
+        if current == Directions.STOP:
+            current = Directions.NORTH
+        left = Directions.LEFT[current]
+        if left in legal:
+            return left
+        if current in legal:
+            return current
+        if Directions.RIGHT[current] in legal:
+            return Directions.RIGHT[current]
+        if Directions.LEFT[left] in legal:
+            return Directions.LEFT[left]
+        return Directions.STOP
+
+
+class GreedyAgent(Agent):
+    def __init__(self, evalFn="scoreEvaluation"):
+        self.evaluationFunction = util.lookup(evalFn, globals())
+        assert self.evaluationFunction != None
+
+    def getAction(self, state):
+        # Generate candidate actions
+        legal = state.getLegalPacmanActions()
+        if Directions.STOP in legal:
+            legal.remove(Directions.STOP)
+
+        successors = [(state.generateSuccessor(0, action), action)
+                      for action in legal]
+        scored = [(self.evaluationFunction(state), action)
+                  for state, action in successors]
+        bestScore = max(scored)[0]
+        bestActions = [pair[1] for pair in scored if pair[0] == bestScore]
+        return random.choice(bestActions)
+
+
+def scoreEvaluation(state):
+    return state.getScore()
diff --git a/multiagent/projectParams.py b/multiagent/projectParams.py
new file mode 100644
index 0000000..77d4caa
--- /dev/null
+++ b/multiagent/projectParams.py
@@ -0,0 +1,18 @@
+# projectParams.py
+# ----------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+STUDENT_CODE_DEFAULT = 'multiAgents.py'
+PROJECT_TEST_CLASSES = 'multiagentTestClasses.py'
+PROJECT_NAME = 'Project 2: Multiagent search'
+BONUS_PIC = False
diff --git a/multiagent/testClasses.py b/multiagent/testClasses.py
new file mode 100644
index 0000000..caf2147
--- /dev/null
+++ b/multiagent/testClasses.py
@@ -0,0 +1,204 @@
+# testClasses.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# import modules from python standard library
+import inspect
+import re
+import sys
+
+
+# Class which models a question in a project.  Note that questions have a
+# maximum number of points they are worth, and are composed of a series of
+# test cases
+class Question(object):
+
+    def raiseNotDefined(self):
+        print('Method not implemented: %s' % inspect.stack()[1][3])
+        sys.exit(1)
+
+    def __init__(self, questionDict, display):
+        self.maxPoints = int(questionDict['max_points'])
+        self.testCases = []
+        self.display = display
+
+    def getDisplay(self):
+        return self.display
+
+    def getMaxPoints(self):
+        return self.maxPoints
+
+    # Note that 'thunk' must be a function which accepts a single argument,
+    # namely a 'grading' object
+    def addTestCase(self, testCase, thunk):
+        self.testCases.append((testCase, thunk))
+
+    def execute(self, grades):
+        self.raiseNotDefined()
+
+# Question in which all test cases must be passed in order to receive credit
+class PassAllTestsQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+
+
+class ExtraCreditPassAllTestsQuestion(Question):
+    def __init__(self, questionDict, display):
+        Question.__init__(self, questionDict, display)
+        self.extraPoints = int(questionDict['extra_points'])
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        testsFailed = False
+        grades.assignZeroCredit()
+        for _, f in self.testCases:
+            if not f(grades):
+                testsFailed = True
+        if testsFailed:
+            grades.fail("Tests failed.")
+        else:
+            grades.assignFullCredit()
+            grades.addPoints(self.extraPoints)
+
+# Question in which predict credit is given for test cases with a ``points'' property.
+# All other tests are mandatory and must be passed.
+class HackedPartialCreditQuestion(Question):
+
+    def execute(self, grades):
+        # TODO: is this the right way to use grades?  The autograder doesn't seem to use it.
+        grades.assignZeroCredit()
+
+        points = 0
+        passed = True
+        for testCase, f in self.testCases:
+            testResult = f(grades)
+            if "points" in testCase.testDict:
+                if testResult:
+                    points += float(testCase.testDict["points"])
+            else:
+                passed = passed and testResult
+
+        # FIXME: Below terrible hack to match q3's logic
+        if int(points) == self.maxPoints and not passed:
+            grades.assignZeroCredit()
+        else:
+            grades.addPoints(int(points))
+
+
+class Q6PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        results = []
+        for _, f in self.testCases:
+            results.append(f(grades))
+        if False in results:
+            grades.assignZeroCredit()
+
+
+class PartialCreditQuestion(Question):
+    """Fails any test which returns False, otherwise doesn't effect the grades object.
+    Partial credit tests will add the required points."""
+
+    def execute(self, grades):
+        grades.assignZeroCredit()
+
+        for _, f in self.testCases:
+            if not f(grades):
+                grades.assignZeroCredit()
+                grades.fail("Tests failed.")
+                return False
+
+
+class NumberPassedQuestion(Question):
+    """Grade is the number of test cases passed."""
+
+    def execute(self, grades):
+        grades.addPoints([f(grades) for _, f in self.testCases].count(True))
+
+
+# Template modeling a generic test case
+class TestCase(object):
+
+    def raiseNotDefined(self):
+        print('Method not implemented: %s' % inspect.stack()[1][3])
+        sys.exit(1)
+
+    def getPath(self):
+        return self.path
+
+    def __init__(self, question, testDict):
+        self.question = question
+        self.testDict = testDict
+        self.path = testDict['path']
+        self.messages = []
+
+    def __str__(self):
+        self.raiseNotDefined()
+
+    def execute(self, grades, moduleDict, solutionDict):
+        self.raiseNotDefined()
+
+    def writeSolution(self, moduleDict, filePath):
+        self.raiseNotDefined()
+        return True
+
+    # Tests should call the following messages for grading
+    # to ensure a uniform format for test output.
+    #
+    # TODO: this is hairy, but we need to fix grading.py's interface
+    # to get a nice hierarchical project - question - test structure,
+    # then these should be moved into Question proper.
+    def testPass(self, grades):
+        grades.addMessage('PASS: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return True
+
+    def testFail(self, grades):
+        grades.addMessage('FAIL: %s' % (self.path,))
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+        return False
+
+    # This should really be question level?
+    def testPartial(self, grades, points, maxPoints):
+        grades.addPoints(points)
+        extraCredit = max(0, points - maxPoints)
+        regularCredit = points - extraCredit
+
+        grades.addMessage('%s: %s (%s of %s points)' % (
+            "PASS" if points >= maxPoints else "FAIL", self.path, regularCredit, maxPoints))
+        if extraCredit > 0:
+            grades.addMessage('EXTRA CREDIT: %s points' % (extraCredit,))
+
+        for line in self.messages:
+            grades.addMessage('    %s' % (line,))
+
+        return True
+
+    def addMessage(self, message):
+        self.messages.extend(message.split('\n'))
diff --git a/multiagent/testParser.py b/multiagent/testParser.py
new file mode 100644
index 0000000..227a808
--- /dev/null
+++ b/multiagent/testParser.py
@@ -0,0 +1,86 @@
+# testParser.py
+# -------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import re
+import sys
+
+
+class TestParser(object):
+
+    def __init__(self, path):
+        # save the path to the test file
+        self.path = path
+
+    def removeComments(self, rawlines):
+        # remove any portion of a line following a '#' symbol
+        fixed_lines = []
+        for l in rawlines:
+            idx = l.find('#')
+            if idx == -1:
+                fixed_lines.append(l)
+            else:
+                fixed_lines.append(l[0:idx])
+        return '\n'.join(fixed_lines)
+
+    def parse(self):
+        # read in the test case and remove comments
+        test = {}
+        with open(self.path) as handle:
+            raw_lines = handle.read().split('\n')
+
+        test_text = self.removeComments(raw_lines)
+        test['__raw_lines__'] = raw_lines
+        test['path'] = self.path
+        test['__emit__'] = []
+        lines = test_text.split('\n')
+        i = 0
+        # read a property in each loop cycle
+        while(i < len(lines)):
+            # skip blank lines
+            if re.match('\A\s*\Z', lines[i]):
+                test['__emit__'].append(("raw", raw_lines[i]))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"([^"]*)"\s*\Z', lines[i])
+            if m:
+                test[m.group(1)] = m.group(2)
+                test['__emit__'].append(("oneline", m.group(1)))
+                i += 1
+                continue
+            m = re.match('\A([^"]*?):\s*"""\s*\Z', lines[i])
+            if m:
+                msg = []
+                i += 1
+                while(not re.match('\A\s*"""\s*\Z', lines[i])):
+                    msg.append(raw_lines[i])
+                    i += 1
+                test[m.group(1)] = '\n'.join(msg)
+                test['__emit__'].append(("multiline", m.group(1)))
+                i += 1
+                continue
+            print('error parsing test file: %s' % self.path)
+            sys.exit(1)
+        return test
+
+
+def emitTestDict(testDict, handle):
+    for kind, data in testDict['__emit__']:
+        if kind == "raw":
+            handle.write(data + "\n")
+        elif kind == "oneline":
+            handle.write('%s: "%s"\n' % (data, testDict[data]))
+        elif kind == "multiline":
+            handle.write('%s: """\n%s\n"""\n' % (data, testDict[data]))
+        else:
+            raise Exception("Bad __emit__")
diff --git a/multiagent/test_cases/CONFIG b/multiagent/test_cases/CONFIG
new file mode 100644
index 0000000..e01f27b
--- /dev/null
+++ b/multiagent/test_cases/CONFIG
@@ -0,0 +1 @@
+order: "q1 q2 q3 q4 q5"
diff --git a/multiagent/test_cases/extra/CONFIG b/multiagent/test_cases/extra/CONFIG
new file mode 100644
index 0000000..3a646dd
--- /dev/null
+++ b/multiagent/test_cases/extra/CONFIG
@@ -0,0 +1,2 @@
+max_points: "0"
+class: "PartialCreditQuestion"
diff --git a/multiagent/test_cases/extra/grade-agent.test b/multiagent/test_cases/extra/grade-agent.test
new file mode 100644
index 0000000..5da84c6
--- /dev/null
+++ b/multiagent/test_cases/extra/grade-agent.test
@@ -0,0 +1,11 @@
+class: "EvalAgentTest"
+
+agentName: "ContestAgent"
+layoutName: "contestClassic"
+maxTime: "180"
+numGames: "5"
+
+scoreThresholds: "2500 2900"
+
+randomSeed: "0"
+ghosts: "[DirectionalGhost(1), DirectionalGhost(2), DirectionalGhost(3)]"
diff --git a/multiagent/test_cases/q1/CONFIG b/multiagent/test_cases/q1/CONFIG
new file mode 100644
index 0000000..426bfe9
--- /dev/null
+++ b/multiagent/test_cases/q1/CONFIG
@@ -0,0 +1,2 @@
+max_points: "4"
+class: "PartialCreditQuestion"
diff --git a/multiagent/test_cases/q1/grade-agent.solution b/multiagent/test_cases/q1/grade-agent.solution
new file mode 100644
index 0000000..278af4f
--- /dev/null
+++ b/multiagent/test_cases/q1/grade-agent.solution
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q1/grade-agent.test.
+# File intentionally blank.
diff --git a/multiagent/test_cases/q1/grade-agent.test b/multiagent/test_cases/q1/grade-agent.test
new file mode 100644
index 0000000..3a70660
--- /dev/null
+++ b/multiagent/test_cases/q1/grade-agent.test
@@ -0,0 +1,18 @@
+class: "EvalAgentTest"
+
+agentName: "ReflexAgent"
+layoutName: "openClassic"
+maxTime: "120"
+numGames: "10"
+
+
+nonTimeoutMinimum: "10"
+
+scoreThresholds: "500 1000"
+
+winsMinimum: "1"
+winsThresholds: "5 10"
+
+
+randomSeed: "0"
+ghosts: "[RandomGhost(1)]"
diff --git a/multiagent/test_cases/q2/0-eval-function-lose-states-1.solution b/multiagent/test_cases/q2/0-eval-function-lose-states-1.solution
new file mode 100644
index 0000000..d0b6eed
--- /dev/null
+++ b/multiagent/test_cases/q2/0-eval-function-lose-states-1.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-eval-function-lose-states-1.test.
+action: "Left"
+generated: "lose1 lose2 root"
diff --git a/multiagent/test_cases/q2/0-eval-function-lose-states-1.test b/multiagent/test_cases/q2/0-eval-function-lose-states-1.test
new file mode 100644
index 0000000..791ea43
--- /dev/null
+++ b/multiagent/test_cases/q2/0-eval-function-lose-states-1.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 1.0
+lose2 0.0
+"""
+
diff --git a/multiagent/test_cases/q2/0-eval-function-lose-states-2.solution b/multiagent/test_cases/q2/0-eval-function-lose-states-2.solution
new file mode 100644
index 0000000..df68452
--- /dev/null
+++ b/multiagent/test_cases/q2/0-eval-function-lose-states-2.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-eval-function-lose-states-2.test.
+action: "Right"
+generated: "lose1 lose2 root"
diff --git a/multiagent/test_cases/q2/0-eval-function-lose-states-2.test b/multiagent/test_cases/q2/0-eval-function-lose-states-2.test
new file mode 100644
index 0000000..0d4c149
--- /dev/null
+++ b/multiagent/test_cases/q2/0-eval-function-lose-states-2.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      0       1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 0.0
+lose2 1.0
+"""
+
diff --git a/multiagent/test_cases/q2/0-eval-function-win-states-1.solution b/multiagent/test_cases/q2/0-eval-function-win-states-1.solution
new file mode 100644
index 0000000..0254142
--- /dev/null
+++ b/multiagent/test_cases/q2/0-eval-function-win-states-1.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-eval-function-win-states-1.test.
+action: "Left"
+generated: "root win1 win2"
diff --git a/multiagent/test_cases/q2/0-eval-function-win-states-1.test b/multiagent/test_cases/q2/0-eval-function-win-states-1.test
new file mode 100644
index 0000000..eab0af1
--- /dev/null
+++ b/multiagent/test_cases/q2/0-eval-function-win-states-1.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1     win2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 1.0
+win2 0.0
+"""
+
diff --git a/multiagent/test_cases/q2/0-eval-function-win-states-2.solution b/multiagent/test_cases/q2/0-eval-function-win-states-2.solution
new file mode 100644
index 0000000..f21c04a
--- /dev/null
+++ b/multiagent/test_cases/q2/0-eval-function-win-states-2.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-eval-function-win-states-2.test.
+action: "Right"
+generated: "root win1 win2"
diff --git a/multiagent/test_cases/q2/0-eval-function-win-states-2.test b/multiagent/test_cases/q2/0-eval-function-win-states-2.test
new file mode 100644
index 0000000..77d1ff0
--- /dev/null
+++ b/multiagent/test_cases/q2/0-eval-function-win-states-2.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1    win2
+      0      1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 0.0
+win2 1.0
+"""
+
diff --git a/multiagent/test_cases/q2/0-lecture-6-tree.solution b/multiagent/test_cases/q2/0-lecture-6-tree.solution
new file mode 100644
index 0000000..3c6a74d
--- /dev/null
+++ b/multiagent/test_cases/q2/0-lecture-6-tree.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-lecture-6-tree.test.
+action: "Center"
+generated: "A B C D E F G H I max min1 min2 min3"
diff --git a/multiagent/test_cases/q2/0-lecture-6-tree.test b/multiagent/test_cases/q2/0-lecture-6-tree.test
new file mode 100644
index 0000000..debf815
--- /dev/null
+++ b/multiagent/test_cases/q2/0-lecture-6-tree.test
@@ -0,0 +1,50 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+#  Tree from lecture 6 slides
+diagram: """
+           max
+      /-/   |   \--\
+     /      |       \
+    /       |        \
+ min1      min2      min3
+  /|\      /|\       /|\ 
+ / | \    / | \     / | \
+A  B  C  D  E  F   G  H  I  
+3 12  8  5  4  6  14  1  11
+"""
+
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B C D E F G H I"
+lose_states: ""
+
+successors: """
+max Left min1
+max Center min2
+max Right min3
+min1 Left A
+min1 Center B
+min1 Right C
+min2 Left D
+min2 Center E
+min2 Right F
+min3 Left G
+min3 Center H
+min3 Right I
+"""
+
+
+evaluation: """
+A 3.0
+B 12.0
+C 8.0
+D 5.0
+E 4.0
+F 6.0
+G 14.0
+H 1.0
+I 11.0
+"""
diff --git a/multiagent/test_cases/q2/0-small-tree.solution b/multiagent/test_cases/q2/0-small-tree.solution
new file mode 100644
index 0000000..f381f9a
--- /dev/null
+++ b/multiagent/test_cases/q2/0-small-tree.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/0-small-tree.test.
+action: "pacLeft"
+generated: "A B C D deeper minLeft minRight root"
diff --git a/multiagent/test_cases/q2/0-small-tree.test b/multiagent/test_cases/q2/0-small-tree.test
new file mode 100644
index 0000000..5eaa65c
--- /dev/null
+++ b/multiagent/test_cases/q2/0-small-tree.test
@@ -0,0 +1,36 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+        root
+       /    \
+ minLeft  minRight
+  / \       /    \
+ A   B     C   deeper
+ 4   3     2     |
+                 D
+               1000
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "A C"
+lose_states: "B D"
+
+successors: """
+root pacLeft minLeft
+root pacRight minRight
+minLeft gLeft A
+minLeft gRight B
+minRight gLeft C
+minRight gRight deeper
+deeper pacLeft D
+"""
+
+evaluation: """
+A 4.0
+B 3.0
+C 2.0
+D 1000.0
+"""
diff --git a/multiagent/test_cases/q2/1-1-minmax.solution b/multiagent/test_cases/q2/1-1-minmax.solution
new file mode 100644
index 0000000..3ac7510
--- /dev/null
+++ b/multiagent/test_cases/q2/1-1-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-1-minmax.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/multiagent/test_cases/q2/1-1-minmax.test b/multiagent/test_cases/q2/1-1-minmax.test
new file mode 100644
index 0000000..addd65b
--- /dev/null
+++ b/multiagent/test_cases/q2/1-1-minmax.test
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+   c1        c2             cx
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.01
+"""
diff --git a/multiagent/test_cases/q2/1-2-minmax.solution b/multiagent/test_cases/q2/1-2-minmax.solution
new file mode 100644
index 0000000..e40e3de
--- /dev/null
+++ b/multiagent/test_cases/q2/1-2-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-2-minmax.test.
+action: "Right"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/multiagent/test_cases/q2/1-2-minmax.test b/multiagent/test_cases/q2/1-2-minmax.test
new file mode 100644
index 0000000..44e0a77
--- /dev/null
+++ b/multiagent/test_cases/q2/1-2-minmax.test
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+   c1        c2             cx
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -2.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -2.99
+"""
diff --git a/multiagent/test_cases/q2/1-3-minmax.solution b/multiagent/test_cases/q2/1-3-minmax.solution
new file mode 100644
index 0000000..513961c
--- /dev/null
+++ b/multiagent/test_cases/q2/1-3-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-3-minmax.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q2/1-3-minmax.test b/multiagent/test_cases/q2/1-3-minmax.test
new file mode 100644
index 0000000..5f4b12d
--- /dev/null
+++ b/multiagent/test_cases/q2/1-3-minmax.test
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+        cx             c3        c4
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b2 is 4.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.01
+"""
diff --git a/multiagent/test_cases/q2/1-4-minmax.solution b/multiagent/test_cases/q2/1-4-minmax.solution
new file mode 100644
index 0000000..1ae4c0f
--- /dev/null
+++ b/multiagent/test_cases/q2/1-4-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-4-minmax.test.
+action: "Right"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q2/1-4-minmax.test b/multiagent/test_cases/q2/1-4-minmax.test
new file mode 100644
index 0000000..445fe0f
--- /dev/null
+++ b/multiagent/test_cases/q2/1-4-minmax.test
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+        cx             c3        c4
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       3.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b2 is 4.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 3.99
+"""
diff --git a/multiagent/test_cases/q2/1-5-minmax.solution b/multiagent/test_cases/q2/1-5-minmax.solution
new file mode 100644
index 0000000..0553ca7
--- /dev/null
+++ b/multiagent/test_cases/q2/1-5-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-5-minmax.test.
+action: "Right"
+generated: "A B C D E F G H Z a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/multiagent/test_cases/q2/1-5-minmax.test b/multiagent/test_cases/q2/1-5-minmax.test
new file mode 100644
index 0000000..5ce2ba9
--- /dev/null
+++ b/multiagent/test_cases/q2/1-5-minmax.test
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+             /-----a------\
+            /              \
+           /                \
+         b1                  b2
+       /    \                |
+    c1        c2             cx
+   /  \      /  \            |
+  d1   d2  d3   d4           dx
+ / \  / \  / \  / \          |
+ A B  C D  E F  G H          Z
+-3 13 5 9 10 3 -6 8        3.01
+
+a - max
+b - min
+c - max
+d - min
+
+Note the minimax value of b1 is 3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+A -3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 3.0
+G -6.0
+H 8.0
+Z 3.01
+"""
diff --git a/multiagent/test_cases/q2/1-6-minmax.solution b/multiagent/test_cases/q2/1-6-minmax.solution
new file mode 100644
index 0000000..f25e068
--- /dev/null
+++ b/multiagent/test_cases/q2/1-6-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-6-minmax.test.
+action: "Left"
+generated: "A B C D E F G H Z a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/multiagent/test_cases/q2/1-6-minmax.test b/multiagent/test_cases/q2/1-6-minmax.test
new file mode 100644
index 0000000..44b166f
--- /dev/null
+++ b/multiagent/test_cases/q2/1-6-minmax.test
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+             /-----a------\
+            /              \
+           /                \
+         b1                  b2
+       /    \                |
+    c1        c2             cx
+   /  \      /  \            |
+  d1   d2  d3   d4           dx
+ / \  / \  / \  / \          |
+ A B  C D  E F  G H          Z
+-3 13 5 9 10 3 -6 8        2.99
+
+a - max
+b - min
+c - max
+d - min
+
+Note the minimax value of b1 is 3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+A -3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 3.0
+G -6.0
+H 8.0
+Z 2.99
+"""
diff --git a/multiagent/test_cases/q2/1-7-minmax.solution b/multiagent/test_cases/q2/1-7-minmax.solution
new file mode 100644
index 0000000..fd801a8
--- /dev/null
+++ b/multiagent/test_cases/q2/1-7-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-7-minmax.test.
+action: "Left"
+generated: "I J K L M N O P Z a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q2/1-7-minmax.test b/multiagent/test_cases/q2/1-7-minmax.test
new file mode 100644
index 0000000..534cb39
--- /dev/null
+++ b/multiagent/test_cases/q2/1-7-minmax.test
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+        |                 /    \
+        cx             c3        c4
+        |             /   \     /   \
+        dx           d5   d6   d7   d8
+        |           / \  / \  / \  / \ 
+        Z           I J  K L  M N  O P
+     -1.99        -1 -9  4 7  2 5 -3 -2
+
+a - max
+b - min
+c - min
+d - max
+
+Note that the minimax value of b2 is -2
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+I -1.0
+J -9.0
+K 4.0
+L 7.0
+M 2.0
+N 5.0
+O -3.0
+P -2.0
+Z -1.99
+"""
diff --git a/multiagent/test_cases/q2/1-8-minmax.solution b/multiagent/test_cases/q2/1-8-minmax.solution
new file mode 100644
index 0000000..80c7ebe
--- /dev/null
+++ b/multiagent/test_cases/q2/1-8-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/1-8-minmax.test.
+action: "Right"
+generated: "I J K L M N O P Z a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q2/1-8-minmax.test b/multiagent/test_cases/q2/1-8-minmax.test
new file mode 100644
index 0000000..7d3ead9
--- /dev/null
+++ b/multiagent/test_cases/q2/1-8-minmax.test
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+        |                 /    \
+        cx             c3        c4
+        |             /   \     /   \
+        dx           d5   d6   d7   d8 
+        |           / \  / \  / \  / \ 
+        Z           I J  K L  M N  O P
+     -2.01        -1 -9  4 7  2 5 -3 -2
+
+a - max
+b - min
+c - min
+d - max
+
+Note that the minimax value of b2 is -2.01
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+I -1.0
+J -9.0
+K 4.0
+L 7.0
+M 2.0
+N 5.0
+O -3.0
+P -2.0
+Z -2.01
+"""
diff --git a/multiagent/test_cases/q2/2-1a-vary-depth.solution b/multiagent/test_cases/q2/2-1a-vary-depth.solution
new file mode 100644
index 0000000..9dd1708
--- /dev/null
+++ b/multiagent/test_cases/q2/2-1a-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-1a-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx"
diff --git a/multiagent/test_cases/q2/2-1a-vary-depth.test b/multiagent/test_cases/q2/2-1a-vary-depth.test
new file mode 100644
index 0000000..321b1ce
--- /dev/null
+++ b/multiagent/test_cases/q2/2-1a-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -4.01
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -4.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -4.01
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -4.01
+"""
diff --git a/multiagent/test_cases/q2/2-1b-vary-depth.solution b/multiagent/test_cases/q2/2-1b-vary-depth.solution
new file mode 100644
index 0000000..a824e44
--- /dev/null
+++ b/multiagent/test_cases/q2/2-1b-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-1b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/multiagent/test_cases/q2/2-1b-vary-depth.test b/multiagent/test_cases/q2/2-1b-vary-depth.test
new file mode 100644
index 0000000..d0d656d
--- /dev/null
+++ b/multiagent/test_cases/q2/2-1b-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -4.01
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -4.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -4.01
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -4.01
+"""
diff --git a/multiagent/test_cases/q2/2-2a-vary-depth.solution b/multiagent/test_cases/q2/2-2a-vary-depth.solution
new file mode 100644
index 0000000..b4b0e98
--- /dev/null
+++ b/multiagent/test_cases/q2/2-2a-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-2a-vary-depth.test.
+action: "Right"
+generated: "a b1 b2 c1 c2 cx"
diff --git a/multiagent/test_cases/q2/2-2a-vary-depth.test b/multiagent/test_cases/q2/2-2a-vary-depth.test
new file mode 100644
index 0000000..204877f
--- /dev/null
+++ b/multiagent/test_cases/q2/2-2a-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -3.99
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -3.99
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.99
+"""
diff --git a/multiagent/test_cases/q2/2-2b-vary-depth.solution b/multiagent/test_cases/q2/2-2b-vary-depth.solution
new file mode 100644
index 0000000..94e2089
--- /dev/null
+++ b/multiagent/test_cases/q2/2-2b-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-2b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/multiagent/test_cases/q2/2-2b-vary-depth.test b/multiagent/test_cases/q2/2-2b-vary-depth.test
new file mode 100644
index 0000000..1e4ef41
--- /dev/null
+++ b/multiagent/test_cases/q2/2-2b-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -3.99
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -3.99
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.99
+"""
diff --git a/multiagent/test_cases/q2/2-3a-vary-depth.solution b/multiagent/test_cases/q2/2-3a-vary-depth.solution
new file mode 100644
index 0000000..1bab661
--- /dev/null
+++ b/multiagent/test_cases/q2/2-3a-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-3a-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx"
diff --git a/multiagent/test_cases/q2/2-3a-vary-depth.test b/multiagent/test_cases/q2/2-3a-vary-depth.test
new file mode 100644
index 0000000..e083759
--- /dev/null
+++ b/multiagent/test_cases/q2/2-3a-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 5.01   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       5.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 5.01
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 5.01
+"""
diff --git a/multiagent/test_cases/q2/2-3b-vary-depth.solution b/multiagent/test_cases/q2/2-3b-vary-depth.solution
new file mode 100644
index 0000000..fb389ec
--- /dev/null
+++ b/multiagent/test_cases/q2/2-3b-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-3b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q2/2-3b-vary-depth.test b/multiagent/test_cases/q2/2-3b-vary-depth.test
new file mode 100644
index 0000000..cbe88b5
--- /dev/null
+++ b/multiagent/test_cases/q2/2-3b-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 5.01   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       5.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 5.01
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 5.01
+"""
diff --git a/multiagent/test_cases/q2/2-4a-vary-depth.solution b/multiagent/test_cases/q2/2-4a-vary-depth.solution
new file mode 100644
index 0000000..815147d
--- /dev/null
+++ b/multiagent/test_cases/q2/2-4a-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-4a-vary-depth.test.
+action: "Right"
+generated: "a b1 b2 c3 c4 cx"
diff --git a/multiagent/test_cases/q2/2-4a-vary-depth.test b/multiagent/test_cases/q2/2-4a-vary-depth.test
new file mode 100644
index 0000000..e519969
--- /dev/null
+++ b/multiagent/test_cases/q2/2-4a-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 4.99   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 4.99
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.99
+"""
diff --git a/multiagent/test_cases/q2/2-4b-vary-depth.solution b/multiagent/test_cases/q2/2-4b-vary-depth.solution
new file mode 100644
index 0000000..3b12519
--- /dev/null
+++ b/multiagent/test_cases/q2/2-4b-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-4b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q2/2-4b-vary-depth.test b/multiagent/test_cases/q2/2-4b-vary-depth.test
new file mode 100644
index 0000000..a80e82d
--- /dev/null
+++ b/multiagent/test_cases/q2/2-4b-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 4.99   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 4.99
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.99
+"""
diff --git a/multiagent/test_cases/q2/2-one-ghost-3level.solution b/multiagent/test_cases/q2/2-one-ghost-3level.solution
new file mode 100644
index 0000000..f7b10fb
--- /dev/null
+++ b/multiagent/test_cases/q2/2-one-ghost-3level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/2-one-ghost-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/multiagent/test_cases/q2/2-one-ghost-3level.test b/multiagent/test_cases/q2/2-one-ghost-3level.test
new file mode 100644
index 0000000..90d4685
--- /dev/null
+++ b/multiagent/test_cases/q2/2-one-ghost-3level.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /    \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - min
+c - max
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/multiagent/test_cases/q2/3-one-ghost-4level.solution b/multiagent/test_cases/q2/3-one-ghost-4level.solution
new file mode 100644
index 0000000..5fcb2c5
--- /dev/null
+++ b/multiagent/test_cases/q2/3-one-ghost-4level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/3-one-ghost-4level.test.
+action: "Left"
+generated: "A B C D E F G H I J K L M N O P a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/multiagent/test_cases/q2/3-one-ghost-4level.test b/multiagent/test_cases/q2/3-one-ghost-4level.test
new file mode 100644
index 0000000..6868528
--- /dev/null
+++ b/multiagent/test_cases/q2/3-one-ghost-4level.test
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /    \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - min
+c - max
+d - min
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/multiagent/test_cases/q2/4-two-ghosts-3level.solution b/multiagent/test_cases/q2/4-two-ghosts-3level.solution
new file mode 100644
index 0000000..36a2326
--- /dev/null
+++ b/multiagent/test_cases/q2/4-two-ghosts-3level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/4-two-ghosts-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/multiagent/test_cases/q2/4-two-ghosts-3level.test b/multiagent/test_cases/q2/4-two-ghosts-3level.test
new file mode 100644
index 0000000..a2c5bad
--- /dev/null
+++ b/multiagent/test_cases/q2/4-two-ghosts-3level.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /    \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - min
+c - min
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/multiagent/test_cases/q2/5-two-ghosts-4level.solution b/multiagent/test_cases/q2/5-two-ghosts-4level.solution
new file mode 100644
index 0000000..3164ec0
--- /dev/null
+++ b/multiagent/test_cases/q2/5-two-ghosts-4level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/5-two-ghosts-4level.test.
+action: "Left"
+generated: "A B C D E F G H I J K L M N O P a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/multiagent/test_cases/q2/5-two-ghosts-4level.test b/multiagent/test_cases/q2/5-two-ghosts-4level.test
new file mode 100644
index 0000000..9eeb228
--- /dev/null
+++ b/multiagent/test_cases/q2/5-two-ghosts-4level.test
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /    \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - min
+c - min
+d - max
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/multiagent/test_cases/q2/6-tied-root.solution b/multiagent/test_cases/q2/6-tied-root.solution
new file mode 100644
index 0000000..61918b0
--- /dev/null
+++ b/multiagent/test_cases/q2/6-tied-root.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/6-tied-root.test.
+action: "Left"
+generated: "A B C max min1 min2"
diff --git a/multiagent/test_cases/q2/6-tied-root.test b/multiagent/test_cases/q2/6-tied-root.test
new file mode 100644
index 0000000..98cc012
--- /dev/null
+++ b/multiagent/test_cases/q2/6-tied-root.test
@@ -0,0 +1,31 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+    max
+   /   \
+min1    min2
+ |      /  \
+ A      B   C
+10     10   0
+"""
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B"
+lose_states: "C"
+
+successors: """
+max Left min1
+max Right min2
+min1 Down A
+min2 Left B
+min2 Right C
+"""
+
+evaluation: """
+A 10.0
+B 10.0
+C 0.0
+"""
diff --git a/multiagent/test_cases/q2/7-1a-check-depth-one-ghost.solution b/multiagent/test_cases/q2/7-1a-check-depth-one-ghost.solution
new file mode 100644
index 0000000..0b7f01b
--- /dev/null
+++ b/multiagent/test_cases/q2/7-1a-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-1a-check-depth-one-ghost.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3"
diff --git a/multiagent/test_cases/q2/7-1a-check-depth-one-ghost.test b/multiagent/test_cases/q2/7-1a-check-depth-one-ghost.test
new file mode 100644
index 0000000..077effc
--- /dev/null
+++ b/multiagent/test_cases/q2/7-1a-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 1, the evaluation function is called at level c,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q2/7-1b-check-depth-one-ghost.solution b/multiagent/test_cases/q2/7-1b-check-depth-one-ghost.solution
new file mode 100644
index 0000000..e7e3c6f
--- /dev/null
+++ b/multiagent/test_cases/q2/7-1b-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-1b-check-depth-one-ghost.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3"
diff --git a/multiagent/test_cases/q2/7-1b-check-depth-one-ghost.test b/multiagent/test_cases/q2/7-1b-check-depth-one-ghost.test
new file mode 100644
index 0000000..53cefd4
--- /dev/null
+++ b/multiagent/test_cases/q2/7-1b-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 2, the evaluation function is called at level e,
+so Center should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q2/7-1c-check-depth-one-ghost.solution b/multiagent/test_cases/q2/7-1c-check-depth-one-ghost.solution
new file mode 100644
index 0000000..188854d
--- /dev/null
+++ b/multiagent/test_cases/q2/7-1c-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-1c-check-depth-one-ghost.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/multiagent/test_cases/q2/7-1c-check-depth-one-ghost.test b/multiagent/test_cases/q2/7-1c-check-depth-one-ghost.test
new file mode 100644
index 0000000..51a5c9a
--- /dev/null
+++ b/multiagent/test_cases/q2/7-1c-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 3, the evaluation function is called at level g,
+so Right should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q2/7-2a-check-depth-two-ghosts.solution b/multiagent/test_cases/q2/7-2a-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..649825a
--- /dev/null
+++ b/multiagent/test_cases/q2/7-2a-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-2a-check-depth-two-ghosts.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3"
diff --git a/multiagent/test_cases/q2/7-2a-check-depth-two-ghosts.test b/multiagent/test_cases/q2/7-2a-check-depth-two-ghosts.test
new file mode 100644
index 0000000..c8fc743
--- /dev/null
+++ b/multiagent/test_cases/q2/7-2a-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 1, the evaluation function is called at level d,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q2/7-2b-check-depth-two-ghosts.solution b/multiagent/test_cases/q2/7-2b-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..440eaf8
--- /dev/null
+++ b/multiagent/test_cases/q2/7-2b-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-2b-check-depth-two-ghosts.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/multiagent/test_cases/q2/7-2b-check-depth-two-ghosts.test b/multiagent/test_cases/q2/7-2b-check-depth-two-ghosts.test
new file mode 100644
index 0000000..2dff6d0
--- /dev/null
+++ b/multiagent/test_cases/q2/7-2b-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 2, the evaluation function is called at level g,
+so Center should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q2/7-2c-check-depth-two-ghosts.solution b/multiagent/test_cases/q2/7-2c-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..fb146d8
--- /dev/null
+++ b/multiagent/test_cases/q2/7-2c-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q2/7-2c-check-depth-two-ghosts.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3 h1 h2 h3 i1 i2 i3 j1 j2 j3"
diff --git a/multiagent/test_cases/q2/7-2c-check-depth-two-ghosts.test b/multiagent/test_cases/q2/7-2c-check-depth-two-ghosts.test
new file mode 100644
index 0000000..2ef9f15
--- /dev/null
+++ b/multiagent/test_cases/q2/7-2c-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "MinimaxAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 3, the evaluation function is called at level j,
+so Right should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q2/8-pacman-game.solution b/multiagent/test_cases/q2/8-pacman-game.solution
new file mode 100644
index 0000000..4ee19d8
--- /dev/null
+++ b/multiagent/test_cases/q2/8-pacman-game.solution
@@ -0,0 +1,444 @@
+optimalActions: """
+[[["West", "East"], 59], [["West", "East"], 35]]
+[[["West"], 190], [["West"], 127]]
+[[["West"], 190], [["West"], 135]]
+[[["West", "North"], 120], [["West", "North"], 82]]
+[[["West"], 77], [["West"], 57]]
+[[["West", "North"], 143], [["West", "North"], 97]]
+[[["West"], 155], [["West"], 110]]
+[[["West"], 40], [["West"], 27]]
+[[["North"], 64], [["North"], 43]]
+[[["North"], 85], [["North"], 57]]
+[[["North"], 106], [["North"], 71]]
+[[["North"], 97], [["North"], 65]]
+[[["Stop", "East"], 154], [["East"], 103]]
+[[["East"], 156], [["East"], 101]]
+[[["West"], 30], [["West"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["North"], 29], [["North"], 18]]
+[[["North"], 50], [["North"], 31]]
+[[["West"], 55], [["West"], 36]]
+[[["East"], 29], [["East"], 16]]
+[[["North"], 89], [["North"], 61]]
+[[["East", "North"], 161], [["East", "North"], 121]]
+[[["East", "North"], 221], [["East", "North"], 166]]
+[[["North", "South"], 105], [["North", "South"], 77]]
+[[["West"], 69], [["West"], 51]]
+[[["West"], 94], [["West"], 69]]
+[[["West", "Stop"], 57], [["West"], 42]]
+[[["West", "Stop", "East"], 69], [["West", "East"], 49]]
+[[["West", "Stop", "East"], 61], [["West", "East"], 41]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 28], [["East", "South"], 19]]
+[[["Stop", "East", "South"], 34], [["East", "South"], 23]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 64], [["East", "South"], 43]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 102], [["East", "South"], 67]]
+[[["Stop", "South"], 23], [["South"], 13]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 29], [["East", "North"], 18]]
+[[["East"], 38], [["East"], 22]]
+[[["North"], 29], [["North"], 18]]
+[[["North"], 38], [["North"], 22]]
+[[["East"], 33], [["East"], 22]]
+[[["East"], 37], [["East"], 18]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 37], [["East"], 26]]
+[[["East"], 69], [["East"], 41]]
+[[["East"], 56], [["East"], 26]]
+[[["East"], 44], [["East"], 29]]
+[[["North", "South"], 83], [["North", "South"], 52]]
+[[["East", "North"], 121], [["East", "North"], 74]]
+[[["East", "North"], 97], [["East", "North"], 73]]
+[[["North", "South"], 173], [["North", "South"], 130]]
+[[["West", "East"], 90], [["West", "East"], 66]]
+[[["West", "Stop", "East"], 161], [["West", "East"], 118]]
+[[["Stop", "East", "South"], 58], [["East", "South"], 43]]
+[[["Stop", "East"], 120], [["South"], 85]]
+[[["East"], 78], [["East"], 45]]
+[[["West"], 77], [["West"], 42]]
+[[["South"], 83], [["South"], 48]]
+[[["South"], 49], [["South"], 37]]
+[[["South"], 185], [["South"], 104]]
+[[["South"], 68], [["South"], 41]]
+[[["West"], 30], [["West"], 18]]
+[[["West"], 56], [["West"], 29]]
+[[["West"], 14], [["West"], 10]]
+[[["West"], 20], [["West"], 14]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 16], [["West"], 12]]
+[[["West", "North"], 30], [["West", "North"], 20]]
+[[["West"], 38], [["West"], 23]]
+[[["West", "Stop", "East", "North"], 70], [["West", "East", "North"], 46]]
+[[["West", "Stop", "East"], 128], [["West", "East"], 89]]
+[[["West", "Stop", "East"], 31], [["West", "East"], 20]]
+[[["Stop", "East", "North"], 69], [["East", "North"], 45]]
+[[["Stop", "North"], 58], [["North"], 31]]
+[[["North"], 34], [["North"], 19]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 34], [["North"], 19]]
+[[["East"], 30], [["East"], 17]]
+[[["East"], 19], [["East"], 11]]
+[[["East"], 44], [["East"], 29]]
+[[["East", "South"], 87], [["East", "South"], 60]]
+[[["East", "South"], 108], [["East", "South"], 62]]
+[[["South"], 120], [["South"], 61]]
+[[["North", "South"], 209], [["North", "South"], 132]]
+[[["West"], 108], [["West"], 60]]
+[[["West", "Stop", "East", "South"], 83], [["West", "East", "South"], 61]]
+[[["West", "Stop", "East", "South"], 90], [["West", "East", "South"], 66]]
+[[["West", "Stop", "East"], 134], [["West", "East"], 95]]
+[[["West", "Stop", "East"], 82], [["West", "East"], 55]]
+[[["Stop", "East", "South"], 142], [["East", "South"], 95]]
+[[["Stop", "East", "South"], 98], [["East", "South"], 65]]
+[[["Stop", "East", "South"], 128], [["East", "South"], 86]]
+[[["Stop", "East", "South"], 82], [["East", "South"], 55]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 190], [["East", "South"], 127]]
+[[["Stop", "East", "South"], 158], [["East", "South"], 103]]
+[[["Stop", "South"], 50], [["South"], 27]]
+[[["South"], 30], [["South"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 29], [["East", "North"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 41], [["East", "North"], 24]]
+[[["East"], 59], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["East"], 26], [["East"], 15]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 29], [["East"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 41], [["East", "North"], 24]]
+[[["East"], 59], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["North"], 26], [["North"], 15]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 34], [["North"], 19]]
+[[["West"], 34], [["West"], 19]]
+[[["West"], 25], [["West"], 13]]
+[[["West", "Stop", "East"], 7], [["West", "East"], 3]]
+"""
+altDepthActions: """
+[["West", "East"], ["West", "East"], ["West", "East"], ["West", "East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["Stop", "North"], ["North"]]
+[["East"], ["East"], ["Stop", "East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["West"], ["West"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West", "Stop"], ["West"]]
+[["West"], ["West"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North", "South"], ["North", "South"], ["South"], ["South"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West", "East"], ["West", "East"], ["East"], ["East"]]
+[["West"], ["West"], ["East"], ["East"]]
+[["Stop", "East", "South"], ["East", "South"], ["East"], ["East"]]
+[["Stop", "East"], ["East"], ["Stop", "East"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["West", "East"], ["West", "East"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"], ["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"], ["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"], ["Stop", "North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["North", "South"], ["North", "South"], ["North", "South"], ["North", "South"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+"""
+partialPlyBugActions: """
+[["West", "East"], ["West", "East"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["Stop", "East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North", "South"], ["North", "South"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East"], ["East"]]
+[["East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"]]
+[["South"], ["South"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+"""
diff --git a/multiagent/test_cases/q2/8-pacman-game.test b/multiagent/test_cases/q2/8-pacman-game.test
new file mode 100644
index 0000000..be7396d
--- /dev/null
+++ b/multiagent/test_cases/q2/8-pacman-game.test
@@ -0,0 +1,19 @@
+class: "PacmanGameTreeTest"
+alg: "MinimaxAgent"
+seed: "0"
+depth: "2"
+max_points: "4"
+
+# The following specifies the layout to be used 
+layoutName: "smallClassic"
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+
diff --git a/multiagent/test_cases/q2/CONFIG b/multiagent/test_cases/q2/CONFIG
new file mode 100644
index 0000000..a5adc3f
--- /dev/null
+++ b/multiagent/test_cases/q2/CONFIG
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "PassAllTestsQuestion"
diff --git a/multiagent/test_cases/q3/0-eval-function-lose-states-1.solution b/multiagent/test_cases/q3/0-eval-function-lose-states-1.solution
new file mode 100644
index 0000000..7d48add
--- /dev/null
+++ b/multiagent/test_cases/q3/0-eval-function-lose-states-1.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-eval-function-lose-states-1.test.
+action: "Left"
+generated: "lose1 lose2 root"
diff --git a/multiagent/test_cases/q3/0-eval-function-lose-states-1.test b/multiagent/test_cases/q3/0-eval-function-lose-states-1.test
new file mode 100644
index 0000000..36dc214
--- /dev/null
+++ b/multiagent/test_cases/q3/0-eval-function-lose-states-1.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 1.0
+lose2 0.0
+"""
+
diff --git a/multiagent/test_cases/q3/0-eval-function-lose-states-2.solution b/multiagent/test_cases/q3/0-eval-function-lose-states-2.solution
new file mode 100644
index 0000000..cc0f8f7
--- /dev/null
+++ b/multiagent/test_cases/q3/0-eval-function-lose-states-2.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-eval-function-lose-states-2.test.
+action: "Right"
+generated: "lose1 lose2 root"
diff --git a/multiagent/test_cases/q3/0-eval-function-lose-states-2.test b/multiagent/test_cases/q3/0-eval-function-lose-states-2.test
new file mode 100644
index 0000000..ed55fc8
--- /dev/null
+++ b/multiagent/test_cases/q3/0-eval-function-lose-states-2.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      0       1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 0.0
+lose2 1.0
+"""
+
diff --git a/multiagent/test_cases/q3/0-eval-function-win-states-1.solution b/multiagent/test_cases/q3/0-eval-function-win-states-1.solution
new file mode 100644
index 0000000..7734b36
--- /dev/null
+++ b/multiagent/test_cases/q3/0-eval-function-win-states-1.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-eval-function-win-states-1.test.
+action: "Left"
+generated: "root win1 win2"
diff --git a/multiagent/test_cases/q3/0-eval-function-win-states-1.test b/multiagent/test_cases/q3/0-eval-function-win-states-1.test
new file mode 100644
index 0000000..20436ea
--- /dev/null
+++ b/multiagent/test_cases/q3/0-eval-function-win-states-1.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1     win2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 1.0
+win2 0.0
+"""
+
diff --git a/multiagent/test_cases/q3/0-eval-function-win-states-2.solution b/multiagent/test_cases/q3/0-eval-function-win-states-2.solution
new file mode 100644
index 0000000..7e479db
--- /dev/null
+++ b/multiagent/test_cases/q3/0-eval-function-win-states-2.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-eval-function-win-states-2.test.
+action: "Right"
+generated: "root win1 win2"
diff --git a/multiagent/test_cases/q3/0-eval-function-win-states-2.test b/multiagent/test_cases/q3/0-eval-function-win-states-2.test
new file mode 100644
index 0000000..6f4519c
--- /dev/null
+++ b/multiagent/test_cases/q3/0-eval-function-win-states-2.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1    win2
+      0      1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 0.0
+win2 1.0
+"""
+
diff --git a/multiagent/test_cases/q3/0-lecture-6-tree.solution b/multiagent/test_cases/q3/0-lecture-6-tree.solution
new file mode 100644
index 0000000..c4a91ad
--- /dev/null
+++ b/multiagent/test_cases/q3/0-lecture-6-tree.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-lecture-6-tree.test.
+action: "Center"
+generated: "A B C D E F G H max min1 min2 min3"
diff --git a/multiagent/test_cases/q3/0-lecture-6-tree.test b/multiagent/test_cases/q3/0-lecture-6-tree.test
new file mode 100644
index 0000000..cbc61fe
--- /dev/null
+++ b/multiagent/test_cases/q3/0-lecture-6-tree.test
@@ -0,0 +1,50 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+#  Tree from lecture 6 slides
+diagram: """
+           max
+      /-/   |   \--\
+     /      |       \
+    /       |        \
+ min1      min2      min3
+  /|\      /|\       /|\ 
+ / | \    / | \     / | \
+A  B  C  D  E  F   G  H  I  
+3 12  8  5  4  6  14  1  11
+"""
+
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B C D E F G H I"
+lose_states: ""
+
+successors: """
+max Left min1
+max Center min2
+max Right min3
+min1 Left A
+min1 Center B
+min1 Right C
+min2 Left D
+min2 Center E
+min2 Right F
+min3 Left G
+min3 Center H
+min3 Right I
+"""
+
+
+evaluation: """
+A 3.0
+B 12.0
+C 8.0
+D 5.0
+E 4.0
+F 6.0
+G 14.0
+H 1.0
+I 11.0
+"""
diff --git a/multiagent/test_cases/q3/0-small-tree.solution b/multiagent/test_cases/q3/0-small-tree.solution
new file mode 100644
index 0000000..e940986
--- /dev/null
+++ b/multiagent/test_cases/q3/0-small-tree.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/0-small-tree.test.
+action: "pacLeft"
+generated: "A B C minLeft minRight root"
diff --git a/multiagent/test_cases/q3/0-small-tree.test b/multiagent/test_cases/q3/0-small-tree.test
new file mode 100644
index 0000000..a9829d0
--- /dev/null
+++ b/multiagent/test_cases/q3/0-small-tree.test
@@ -0,0 +1,36 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+        root
+       /    \
+ minLeft  minRight
+  / \       /    \
+ A   B     C   deeper
+ 4   3     2     |
+                 D
+               1000
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "A C"
+lose_states: "B D"
+
+successors: """
+root pacLeft minLeft
+root pacRight minRight
+minLeft gLeft A
+minLeft gRight B
+minRight gLeft C
+minRight gRight deeper
+deeper pacLeft D
+"""
+
+evaluation: """
+A 4.0
+B 3.0
+C 2.0
+D 1000.0
+"""
diff --git a/multiagent/test_cases/q3/1-1-minmax.solution b/multiagent/test_cases/q3/1-1-minmax.solution
new file mode 100644
index 0000000..2834b29
--- /dev/null
+++ b/multiagent/test_cases/q3/1-1-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-1-minmax.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 dx"
diff --git a/multiagent/test_cases/q3/1-1-minmax.test b/multiagent/test_cases/q3/1-1-minmax.test
new file mode 100644
index 0000000..c601316
--- /dev/null
+++ b/multiagent/test_cases/q3/1-1-minmax.test
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+   c1        c2             cx
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.01
+"""
diff --git a/multiagent/test_cases/q3/1-2-minmax.solution b/multiagent/test_cases/q3/1-2-minmax.solution
new file mode 100644
index 0000000..8c17bcf
--- /dev/null
+++ b/multiagent/test_cases/q3/1-2-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-2-minmax.test.
+action: "Right"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 dx"
diff --git a/multiagent/test_cases/q3/1-2-minmax.test b/multiagent/test_cases/q3/1-2-minmax.test
new file mode 100644
index 0000000..d42a467
--- /dev/null
+++ b/multiagent/test_cases/q3/1-2-minmax.test
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+   c1        c2             cx
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -2.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -2.99
+"""
diff --git a/multiagent/test_cases/q3/1-3-minmax.solution b/multiagent/test_cases/q3/1-3-minmax.solution
new file mode 100644
index 0000000..827cdbd
--- /dev/null
+++ b/multiagent/test_cases/q3/1-3-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-3-minmax.test.
+action: "Left"
+generated: "a b1 b2 c3 cx d5 d6 dx"
diff --git a/multiagent/test_cases/q3/1-3-minmax.test b/multiagent/test_cases/q3/1-3-minmax.test
new file mode 100644
index 0000000..0fc2226
--- /dev/null
+++ b/multiagent/test_cases/q3/1-3-minmax.test
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+        cx             c3        c4
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b2 is 4.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.01
+"""
diff --git a/multiagent/test_cases/q3/1-4-minmax.solution b/multiagent/test_cases/q3/1-4-minmax.solution
new file mode 100644
index 0000000..f5570d1
--- /dev/null
+++ b/multiagent/test_cases/q3/1-4-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-4-minmax.test.
+action: "Right"
+generated: "a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q3/1-4-minmax.test b/multiagent/test_cases/q3/1-4-minmax.test
new file mode 100644
index 0000000..d8d02e2
--- /dev/null
+++ b/multiagent/test_cases/q3/1-4-minmax.test
@@ -0,0 +1,47 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+        cx             c3        c4
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       3.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b2 is 4.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 3.99
+"""
diff --git a/multiagent/test_cases/q3/1-5-minmax.solution b/multiagent/test_cases/q3/1-5-minmax.solution
new file mode 100644
index 0000000..06cebde
--- /dev/null
+++ b/multiagent/test_cases/q3/1-5-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-5-minmax.test.
+action: "Right"
+generated: "A B C D E F G Z a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/multiagent/test_cases/q3/1-5-minmax.test b/multiagent/test_cases/q3/1-5-minmax.test
new file mode 100644
index 0000000..2d57290
--- /dev/null
+++ b/multiagent/test_cases/q3/1-5-minmax.test
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+             /-----a------\
+            /              \
+           /                \
+         b1                  b2
+       /    \                |
+    c1        c2             cx
+   /  \      /  \            |
+  d1   d2  d3   d4           dx
+ / \  / \  / \  / \          |
+ A B  C D  E F  G H          Z
+-3 13 5 9 10 3 -6 8        3.01
+
+a - max
+b - min
+c - max
+d - min
+
+Note the minimax value of b1 is 3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+A -3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 3.0
+G -6.0
+H 8.0
+Z 3.01
+"""
diff --git a/multiagent/test_cases/q3/1-6-minmax.solution b/multiagent/test_cases/q3/1-6-minmax.solution
new file mode 100644
index 0000000..1ced2ca
--- /dev/null
+++ b/multiagent/test_cases/q3/1-6-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-6-minmax.test.
+action: "Left"
+generated: "A B C D E F G Z a b1 b2 c1 c2 cx d1 d2 d3 d4 dx"
diff --git a/multiagent/test_cases/q3/1-6-minmax.test b/multiagent/test_cases/q3/1-6-minmax.test
new file mode 100644
index 0000000..3360e93
--- /dev/null
+++ b/multiagent/test_cases/q3/1-6-minmax.test
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+             /-----a------\
+            /              \
+           /                \
+         b1                  b2
+       /    \                |
+    c1        c2             cx
+   /  \      /  \            |
+  d1   d2  d3   d4           dx
+ / \  / \  / \  / \          |
+ A B  C D  E F  G H          Z
+-3 13 5 9 10 3 -6 8        2.99
+
+a - max
+b - min
+c - max
+d - min
+
+Note the minimax value of b1 is 3.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+A -3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 3.0
+G -6.0
+H 8.0
+Z 2.99
+"""
diff --git a/multiagent/test_cases/q3/1-7-minmax.solution b/multiagent/test_cases/q3/1-7-minmax.solution
new file mode 100644
index 0000000..74e2da0
--- /dev/null
+++ b/multiagent/test_cases/q3/1-7-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-7-minmax.test.
+action: "Left"
+generated: "I J K M O P Z a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q3/1-7-minmax.test b/multiagent/test_cases/q3/1-7-minmax.test
new file mode 100644
index 0000000..207381d
--- /dev/null
+++ b/multiagent/test_cases/q3/1-7-minmax.test
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+        |                 /    \
+        cx             c3        c4
+        |             /   \     /   \
+        dx           d5   d6   d7   d8
+        |           / \  / \  / \  / \ 
+        Z           I J  K L  M N  O P
+     -1.99        -1 -9  4 7  2 5 -3 -2
+
+a - max
+b - min
+c - min
+d - max
+
+Note that the minimax value of b2 is -2
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+I -1.0
+J -9.0
+K 4.0
+L 7.0
+M 2.0
+N 5.0
+O -3.0
+P -2.0
+Z -1.99
+"""
diff --git a/multiagent/test_cases/q3/1-8-minmax.solution b/multiagent/test_cases/q3/1-8-minmax.solution
new file mode 100644
index 0000000..bf426b8
--- /dev/null
+++ b/multiagent/test_cases/q3/1-8-minmax.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/1-8-minmax.test.
+action: "Right"
+generated: "I J K M O P Z a b1 b2 c3 c4 cx d5 d6 d7 d8 dx"
diff --git a/multiagent/test_cases/q3/1-8-minmax.test b/multiagent/test_cases/q3/1-8-minmax.test
new file mode 100644
index 0000000..2272b30
--- /dev/null
+++ b/multiagent/test_cases/q3/1-8-minmax.test
@@ -0,0 +1,75 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+        |                 /    \
+        cx             c3        c4
+        |             /   \     /   \
+        dx           d5   d6   d7   d8 
+        |           / \  / \  / \  / \ 
+        Z           I J  K L  M N  O P
+     -2.01        -1 -9  4 7  2 5 -3 -2
+
+a - max
+b - min
+c - min
+d - max
+
+Note that the minimax value of b2 is -2.01
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P Z"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+dx Down Z
+"""
+
+evaluation: """
+I -1.0
+J -9.0
+K 4.0
+L 7.0
+M 2.0
+N 5.0
+O -3.0
+P -2.0
+Z -2.01
+"""
diff --git a/multiagent/test_cases/q3/2-1a-vary-depth.solution b/multiagent/test_cases/q3/2-1a-vary-depth.solution
new file mode 100644
index 0000000..59d892c
--- /dev/null
+++ b/multiagent/test_cases/q3/2-1a-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-1a-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx"
diff --git a/multiagent/test_cases/q3/2-1a-vary-depth.test b/multiagent/test_cases/q3/2-1a-vary-depth.test
new file mode 100644
index 0000000..f8f9431
--- /dev/null
+++ b/multiagent/test_cases/q3/2-1a-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -4.01
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -4.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -4.01
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -4.01
+"""
diff --git a/multiagent/test_cases/q3/2-1b-vary-depth.solution b/multiagent/test_cases/q3/2-1b-vary-depth.solution
new file mode 100644
index 0000000..a0f232c
--- /dev/null
+++ b/multiagent/test_cases/q3/2-1b-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-1b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 dx"
diff --git a/multiagent/test_cases/q3/2-1b-vary-depth.test b/multiagent/test_cases/q3/2-1b-vary-depth.test
new file mode 100644
index 0000000..1b161af
--- /dev/null
+++ b/multiagent/test_cases/q3/2-1b-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -4.01
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -4.01
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -4.01
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -4.01
+"""
diff --git a/multiagent/test_cases/q3/2-2a-vary-depth.solution b/multiagent/test_cases/q3/2-2a-vary-depth.solution
new file mode 100644
index 0000000..6e8d7fd
--- /dev/null
+++ b/multiagent/test_cases/q3/2-2a-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-2a-vary-depth.test.
+action: "Right"
+generated: "a b1 b2 c1 c2 cx"
diff --git a/multiagent/test_cases/q3/2-2a-vary-depth.test b/multiagent/test_cases/q3/2-2a-vary-depth.test
new file mode 100644
index 0000000..b436d21
--- /dev/null
+++ b/multiagent/test_cases/q3/2-2a-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -3.99
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -3.99
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.99
+"""
diff --git a/multiagent/test_cases/q3/2-2b-vary-depth.solution b/multiagent/test_cases/q3/2-2b-vary-depth.solution
new file mode 100644
index 0000000..f508aef
--- /dev/null
+++ b/multiagent/test_cases/q3/2-2b-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-2b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 cx d1 d2 d3 dx"
diff --git a/multiagent/test_cases/q3/2-2b-vary-depth.test b/multiagent/test_cases/q3/2-2b-vary-depth.test
new file mode 100644
index 0000000..c0540a3
--- /dev/null
+++ b/multiagent/test_cases/q3/2-2b-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \                 |
+-4 c1        c2 9           cx -3.99
+  /  \      /  \             |
+ d1   d2  d3   d4           dx
+-3    -9  10    6         -3.99
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is -3, but the depth=1 limited value is -4.
+The values next to c1, c2, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Down cx
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+cx Down dx
+"""
+
+evaluation: """
+c1 -4.0
+c2 9.0
+cx -3.99
+d1 -3.0
+d2 -9.0
+d3 10.0
+d4 6.0
+dx -3.99
+"""
diff --git a/multiagent/test_cases/q3/2-3a-vary-depth.solution b/multiagent/test_cases/q3/2-3a-vary-depth.solution
new file mode 100644
index 0000000..d805b84
--- /dev/null
+++ b/multiagent/test_cases/q3/2-3a-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-3a-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 c4 cx"
diff --git a/multiagent/test_cases/q3/2-3a-vary-depth.test b/multiagent/test_cases/q3/2-3a-vary-depth.test
new file mode 100644
index 0000000..853a8d3
--- /dev/null
+++ b/multiagent/test_cases/q3/2-3a-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 5.01   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       5.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 5.01
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 5.01
+"""
diff --git a/multiagent/test_cases/q3/2-3b-vary-depth.solution b/multiagent/test_cases/q3/2-3b-vary-depth.solution
new file mode 100644
index 0000000..32a70c6
--- /dev/null
+++ b/multiagent/test_cases/q3/2-3b-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-3b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 cx d5 d6 dx"
diff --git a/multiagent/test_cases/q3/2-3b-vary-depth.test b/multiagent/test_cases/q3/2-3b-vary-depth.test
new file mode 100644
index 0000000..2892005
--- /dev/null
+++ b/multiagent/test_cases/q3/2-3b-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 5.01   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       5.01          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 5.01
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 5.01
+"""
diff --git a/multiagent/test_cases/q3/2-4a-vary-depth.solution b/multiagent/test_cases/q3/2-4a-vary-depth.solution
new file mode 100644
index 0000000..eafdb62
--- /dev/null
+++ b/multiagent/test_cases/q3/2-4a-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-4a-vary-depth.test.
+action: "Right"
+generated: "a b1 b2 c3 c4 cx"
diff --git a/multiagent/test_cases/q3/2-4a-vary-depth.test b/multiagent/test_cases/q3/2-4a-vary-depth.test
new file mode 100644
index 0000000..73d681b
--- /dev/null
+++ b/multiagent/test_cases/q3/2-4a-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 4.99   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 4.99
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.99
+"""
diff --git a/multiagent/test_cases/q3/2-4b-vary-depth.solution b/multiagent/test_cases/q3/2-4b-vary-depth.solution
new file mode 100644
index 0000000..820398a
--- /dev/null
+++ b/multiagent/test_cases/q3/2-4b-vary-depth.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-4b-vary-depth.test.
+action: "Left"
+generated: "a b1 b2 c3 cx d5 d6 dx"
diff --git a/multiagent/test_cases/q3/2-4b-vary-depth.test b/multiagent/test_cases/q3/2-4b-vary-depth.test
new file mode 100644
index 0000000..a7aca5f
--- /dev/null
+++ b/multiagent/test_cases/q3/2-4b-vary-depth.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+         |                /    \
+ 4.99   cx          8  c3        c4   5
+         |            /   \     /   \
+        dx           d5   d6   d7   d8
+       4.99          4    -7   0    5
+
+a - max
+b - min
+c - max
+
+Note that the minimax value of b1 is 4, but the depth=1 limited value is 5.
+The values next to c3, c4, and cx are the values of the evaluation function, not
+necessarily the correct minimax backup.
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8 dx"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Down cx
+b2 Left c3
+b2 Right c4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+cx Down dx
+"""
+
+evaluation: """
+c3 8.0
+c4 5.0
+cx 4.99
+d5 4.0
+d6 -7.0
+d7 0.0
+d8 5.0
+dx 4.99
+"""
diff --git a/multiagent/test_cases/q3/2-one-ghost-3level.solution b/multiagent/test_cases/q3/2-one-ghost-3level.solution
new file mode 100644
index 0000000..b22f76f
--- /dev/null
+++ b/multiagent/test_cases/q3/2-one-ghost-3level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/2-one-ghost-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 d1 d2 d3 d5 d6"
diff --git a/multiagent/test_cases/q3/2-one-ghost-3level.test b/multiagent/test_cases/q3/2-one-ghost-3level.test
new file mode 100644
index 0000000..2ec19b4
--- /dev/null
+++ b/multiagent/test_cases/q3/2-one-ghost-3level.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - min
+c - max
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/multiagent/test_cases/q3/3-one-ghost-4level.solution b/multiagent/test_cases/q3/3-one-ghost-4level.solution
new file mode 100644
index 0000000..b6a9a0f
--- /dev/null
+++ b/multiagent/test_cases/q3/3-one-ghost-4level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/3-one-ghost-4level.test.
+action: "Left"
+generated: "A B C D E F I K a b1 b2 c1 c2 c3 d1 d2 d3 d5 d6"
diff --git a/multiagent/test_cases/q3/3-one-ghost-4level.test b/multiagent/test_cases/q3/3-one-ghost-4level.test
new file mode 100644
index 0000000..cfa33db
--- /dev/null
+++ b/multiagent/test_cases/q3/3-one-ghost-4level.test
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - min
+c - max
+d - min
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/multiagent/test_cases/q3/4-two-ghosts-3level.solution b/multiagent/test_cases/q3/4-two-ghosts-3level.solution
new file mode 100644
index 0000000..12e9520
--- /dev/null
+++ b/multiagent/test_cases/q3/4-two-ghosts-3level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/4-two-ghosts-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7"
diff --git a/multiagent/test_cases/q3/4-two-ghosts-3level.test b/multiagent/test_cases/q3/4-two-ghosts-3level.test
new file mode 100644
index 0000000..fd3ac91
--- /dev/null
+++ b/multiagent/test_cases/q3/4-two-ghosts-3level.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - min
+c - min
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/multiagent/test_cases/q3/5-two-ghosts-4level.solution b/multiagent/test_cases/q3/5-two-ghosts-4level.solution
new file mode 100644
index 0000000..89c534c
--- /dev/null
+++ b/multiagent/test_cases/q3/5-two-ghosts-4level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/5-two-ghosts-4level.test.
+action: "Left"
+generated: "A B C D E G H I J a b1 b2 c1 c2 c3 d1 d2 d3 d4 d5"
diff --git a/multiagent/test_cases/q3/5-two-ghosts-4level.test b/multiagent/test_cases/q3/5-two-ghosts-4level.test
new file mode 100644
index 0000000..ce431fc
--- /dev/null
+++ b/multiagent/test_cases/q3/5-two-ghosts-4level.test
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - min
+c - min
+d - max
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/multiagent/test_cases/q3/6-tied-root.solution b/multiagent/test_cases/q3/6-tied-root.solution
new file mode 100644
index 0000000..93ece27
--- /dev/null
+++ b/multiagent/test_cases/q3/6-tied-root.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/6-tied-root.test.
+action: "Left"
+generated: "A B C max min1 min2"
diff --git a/multiagent/test_cases/q3/6-tied-root.test b/multiagent/test_cases/q3/6-tied-root.test
new file mode 100644
index 0000000..b43f4d9
--- /dev/null
+++ b/multiagent/test_cases/q3/6-tied-root.test
@@ -0,0 +1,31 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+    max
+   /   \
+min1    min2
+ |      /  \
+ A      B   C
+10     10   0
+"""
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B"
+lose_states: "C"
+
+successors: """
+max Left min1
+max Right min2
+min1 Down A
+min2 Left B
+min2 Right C
+"""
+
+evaluation: """
+A 10.0
+B 10.0
+C 0.0
+"""
diff --git a/multiagent/test_cases/q3/7-1a-check-depth-one-ghost.solution b/multiagent/test_cases/q3/7-1a-check-depth-one-ghost.solution
new file mode 100644
index 0000000..a3a74c4
--- /dev/null
+++ b/multiagent/test_cases/q3/7-1a-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-1a-check-depth-one-ghost.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3"
diff --git a/multiagent/test_cases/q3/7-1a-check-depth-one-ghost.test b/multiagent/test_cases/q3/7-1a-check-depth-one-ghost.test
new file mode 100644
index 0000000..0230cbb
--- /dev/null
+++ b/multiagent/test_cases/q3/7-1a-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 1, the evaluation function is called at level c,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q3/7-1b-check-depth-one-ghost.solution b/multiagent/test_cases/q3/7-1b-check-depth-one-ghost.solution
new file mode 100644
index 0000000..8dad3c7
--- /dev/null
+++ b/multiagent/test_cases/q3/7-1b-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-1b-check-depth-one-ghost.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3"
diff --git a/multiagent/test_cases/q3/7-1b-check-depth-one-ghost.test b/multiagent/test_cases/q3/7-1b-check-depth-one-ghost.test
new file mode 100644
index 0000000..7e0ced7
--- /dev/null
+++ b/multiagent/test_cases/q3/7-1b-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 2, the evaluation function is called at level e,
+so Center should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q3/7-1c-check-depth-one-ghost.solution b/multiagent/test_cases/q3/7-1c-check-depth-one-ghost.solution
new file mode 100644
index 0000000..210bb5d
--- /dev/null
+++ b/multiagent/test_cases/q3/7-1c-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-1c-check-depth-one-ghost.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/multiagent/test_cases/q3/7-1c-check-depth-one-ghost.test b/multiagent/test_cases/q3/7-1c-check-depth-one-ghost.test
new file mode 100644
index 0000000..cd92eb9
--- /dev/null
+++ b/multiagent/test_cases/q3/7-1c-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 3, the evaluation function is called at level g,
+so Right should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q3/7-2a-check-depth-two-ghosts.solution b/multiagent/test_cases/q3/7-2a-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..9a08a38
--- /dev/null
+++ b/multiagent/test_cases/q3/7-2a-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-2a-check-depth-two-ghosts.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3"
diff --git a/multiagent/test_cases/q3/7-2a-check-depth-two-ghosts.test b/multiagent/test_cases/q3/7-2a-check-depth-two-ghosts.test
new file mode 100644
index 0000000..421a05c
--- /dev/null
+++ b/multiagent/test_cases/q3/7-2a-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 1, the evaluation function is called at level d,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q3/7-2b-check-depth-two-ghosts.solution b/multiagent/test_cases/q3/7-2b-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..194c0aa
--- /dev/null
+++ b/multiagent/test_cases/q3/7-2b-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-2b-check-depth-two-ghosts.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/multiagent/test_cases/q3/7-2b-check-depth-two-ghosts.test b/multiagent/test_cases/q3/7-2b-check-depth-two-ghosts.test
new file mode 100644
index 0000000..728806e
--- /dev/null
+++ b/multiagent/test_cases/q3/7-2b-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 2, the evaluation function is called at level g,
+so Center should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q3/7-2c-check-depth-two-ghosts.solution b/multiagent/test_cases/q3/7-2c-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..1e989f3
--- /dev/null
+++ b/multiagent/test_cases/q3/7-2c-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q3/7-2c-check-depth-two-ghosts.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3 h1 h2 h3 i1 i2 i3 j1 j2 j3"
diff --git a/multiagent/test_cases/q3/7-2c-check-depth-two-ghosts.test b/multiagent/test_cases/q3/7-2c-check-depth-two-ghosts.test
new file mode 100644
index 0000000..9e727ce
--- /dev/null
+++ b/multiagent/test_cases/q3/7-2c-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "AlphaBetaAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 3, the evaluation function is called at level j,
+so Right should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q3/8-pacman-game.solution b/multiagent/test_cases/q3/8-pacman-game.solution
new file mode 100644
index 0000000..ec0b0b8
--- /dev/null
+++ b/multiagent/test_cases/q3/8-pacman-game.solution
@@ -0,0 +1,444 @@
+optimalActions: """
+[[["West", "East"], 39], [["West", "East"], 27]]
+[[["West"], 75], [["West"], 57]]
+[[["West"], 95], [["West"], 77]]
+[[["West", "North"], 72], [["West", "North"], 54]]
+[[["West"], 51], [["West"], 39]]
+[[["West", "North"], 76], [["West", "North"], 58]]
+[[["West"], 69], [["West"], 51]]
+[[["West"], 34], [["West"], 23]]
+[[["North"], 55], [["North"], 41]]
+[[["North"], 63], [["North"], 32]]
+[[["North"], 87], [["North"], 43]]
+[[["North"], 69], [["North"], 34]]
+[[["Stop", "East"], 116], [["East"], 56]]
+[[["East"], 110], [["East"], 52]]
+[[["West"], 28], [["West"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["North"], 28], [["North"], 18]]
+[[["North"], 47], [["North"], 30]]
+[[["West"], 35], [["West"], 23]]
+[[["East"], 28], [["East"], 15]]
+[[["North"], 74], [["North"], 48]]
+[[["East", "North"], 130], [["East", "North"], 87]]
+[[["East", "North"], 213], [["East", "North"], 158]]
+[[["North", "South"], 101], [["North", "South"], 73]]
+[[["West"], 48], [["West"], 36]]
+[[["West"], 60], [["West"], 45]]
+[[["West", "Stop"], 49], [["West"], 36]]
+[[["West", "Stop", "East"], 69], [["West", "East"], 49]]
+[[["West", "Stop", "East"], 61], [["West", "East"], 41]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 28], [["East", "South"], 19]]
+[[["Stop", "East", "South"], 34], [["East", "South"], 23]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 81], [["East", "South"], 53]]
+[[["Stop", "East", "South"], 64], [["East", "South"], 43]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 81], [["East", "South"], 53]]
+[[["Stop", "East", "South"], 102], [["East", "South"], 67]]
+[[["Stop", "South"], 23], [["South"], 13]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 28], [["East", "North"], 18]]
+[[["East"], 35], [["East"], 22]]
+[[["North"], 28], [["North"], 18]]
+[[["North"], 38], [["North"], 22]]
+[[["East"], 30], [["East"], 20]]
+[[["East"], 33], [["East"], 18]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 33], [["East"], 23]]
+[[["East"], 48], [["East"], 29]]
+[[["East"], 49], [["East"], 26]]
+[[["East"], 44], [["East"], 29]]
+[[["North", "South"], 75], [["North", "South"], 52]]
+[[["East", "North"], 113], [["East", "North"], 74]]
+[[["East", "North"], 89], [["East", "North"], 65]]
+[[["North", "South"], 173], [["North", "South"], 130]]
+[[["West", "East"], 54], [["West", "East"], 42]]
+[[["West", "Stop", "East"], 130], [["West", "East"], 87]]
+[[["Stop", "East", "South"], 58], [["East", "South"], 43]]
+[[["Stop", "East"], 110], [["South"], 82]]
+[[["East"], 71], [["East"], 45]]
+[[["West"], 66], [["West"], 42]]
+[[["South"], 70], [["South"], 48]]
+[[["South"], 48], [["South"], 37]]
+[[["South"], 179], [["South"], 104]]
+[[["South"], 68], [["South"], 41]]
+[[["West"], 25], [["West"], 18]]
+[[["West"], 41], [["West"], 29]]
+[[["West"], 14], [["West"], 10]]
+[[["West"], 20], [["West"], 14]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 16], [["West"], 12]]
+[[["West", "North"], 28], [["West", "North"], 20]]
+[[["West"], 30], [["West"], 23]]
+[[["West", "Stop", "East", "North"], 66], [["West", "East", "North"], 46]]
+[[["West", "Stop", "East"], 126], [["West", "East"], 89]]
+[[["West", "Stop", "East"], 30], [["West", "East"], 20]]
+[[["Stop", "East", "North"], 67], [["East", "North"], 45]]
+[[["Stop", "North"], 52], [["North"], 27]]
+[[["North"], 30], [["North"], 19]]
+[[["North"], 28], [["North"], 17]]
+[[["North"], 17], [["North"], 11]]
+[[["North"], 30], [["North"], 19]]
+[[["East"], 28], [["East"], 17]]
+[[["East"], 17], [["East"], 11]]
+[[["East"], 40], [["East"], 29]]
+[[["East", "South"], 79], [["East", "South"], 60]]
+[[["East", "South"], 90], [["East", "South"], 62]]
+[[["South"], 96], [["South"], 61]]
+[[["North", "South"], 195], [["North", "South"], 132]]
+[[["West"], 80], [["West"], 60]]
+[[["West", "Stop", "East", "South"], 83], [["West", "East", "South"], 61]]
+[[["West", "Stop", "East", "South"], 90], [["West", "East", "South"], 66]]
+[[["West", "Stop", "East"], 134], [["West", "East"], 95]]
+[[["West", "Stop", "East"], 82], [["West", "East"], 55]]
+[[["Stop", "East", "South"], 142], [["East", "South"], 95]]
+[[["Stop", "East", "South"], 95], [["East", "South"], 62]]
+[[["Stop", "East", "South"], 128], [["East", "South"], 86]]
+[[["Stop", "East", "South"], 82], [["East", "South"], 55]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 182], [["East", "South"], 119]]
+[[["Stop", "East", "South"], 154], [["East", "South"], 103]]
+[[["Stop", "South"], 46], [["South"], 25]]
+[[["South"], 28], [["South"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 28], [["East", "North"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 34], [["East", "North"], 24]]
+[[["East"], 56], [["East"], 29]]
+[[["East"], 17], [["East"], 11]]
+[[["East"], 26], [["East"], 15]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 27], [["East"], 17]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 37], [["East", "North"], 24]]
+[[["East"], 56], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["North"], 26], [["North"], 15]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 30], [["North"], 19]]
+[[["West"], 28], [["West"], 19]]
+[[["West"], 23], [["West"], 13]]
+[[["West", "Stop", "East"], 7], [["West", "East"], 3]]
+"""
+altDepthActions: """
+[["West", "East"], ["West", "East"], ["West", "East"], ["West", "East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["Stop", "North"], ["North"]]
+[["East"], ["East"], ["Stop", "East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["West"], ["West"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West", "Stop"], ["West"]]
+[["West"], ["West"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North", "South"], ["North", "South"], ["South"], ["South"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West", "East"], ["West", "East"], ["East"], ["East"]]
+[["West"], ["West"], ["East"], ["East"]]
+[["Stop", "East", "South"], ["East", "South"], ["East"], ["East"]]
+[["Stop", "East"], ["East"], ["Stop", "East"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["West", "East"], ["West", "East"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"], ["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"], ["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"], ["Stop", "North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["North", "South"], ["North", "South"], ["North", "South"], ["North", "South"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+"""
+partialPlyBugActions: """
+[["West", "East"], ["West", "East"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["Stop", "East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North", "South"], ["North", "South"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East"], ["East"]]
+[["East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"]]
+[["South"], ["South"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+"""
diff --git a/multiagent/test_cases/q3/8-pacman-game.test b/multiagent/test_cases/q3/8-pacman-game.test
new file mode 100644
index 0000000..56341ae
--- /dev/null
+++ b/multiagent/test_cases/q3/8-pacman-game.test
@@ -0,0 +1,19 @@
+class: "PacmanGameTreeTest"
+alg: "AlphaBetaAgent"
+seed: "0"
+depth: "2"
+max_points: "4"
+
+# The following specifies the layout to be used 
+layoutName: "smallClassic"
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+
diff --git a/multiagent/test_cases/q3/CONFIG b/multiagent/test_cases/q3/CONFIG
new file mode 100644
index 0000000..a5adc3f
--- /dev/null
+++ b/multiagent/test_cases/q3/CONFIG
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "PassAllTestsQuestion"
diff --git a/multiagent/test_cases/q4/0-eval-function-lose-states-1.solution b/multiagent/test_cases/q4/0-eval-function-lose-states-1.solution
new file mode 100644
index 0000000..6409bcc
--- /dev/null
+++ b/multiagent/test_cases/q4/0-eval-function-lose-states-1.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-eval-function-lose-states-1.test.
+action: "Left"
+generated: "lose1 lose2 root"
diff --git a/multiagent/test_cases/q4/0-eval-function-lose-states-1.test b/multiagent/test_cases/q4/0-eval-function-lose-states-1.test
new file mode 100644
index 0000000..db78a7b
--- /dev/null
+++ b/multiagent/test_cases/q4/0-eval-function-lose-states-1.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 1.0
+lose2 0.0
+"""
+
diff --git a/multiagent/test_cases/q4/0-eval-function-lose-states-2.solution b/multiagent/test_cases/q4/0-eval-function-lose-states-2.solution
new file mode 100644
index 0000000..e4d7abc
--- /dev/null
+++ b/multiagent/test_cases/q4/0-eval-function-lose-states-2.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-eval-function-lose-states-2.test.
+action: "Right"
+generated: "lose1 lose2 root"
diff --git a/multiagent/test_cases/q4/0-eval-function-lose-states-2.test b/multiagent/test_cases/q4/0-eval-function-lose-states-2.test
new file mode 100644
index 0000000..181ae48
--- /dev/null
+++ b/multiagent/test_cases/q4/0-eval-function-lose-states-2.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    lose1   lose2
+      0       1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on losing states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: ""
+lose_states: "lose1 lose2"
+
+successors: """
+root Left lose1
+root Right lose2
+"""
+
+evaluation: """
+lose1 0.0
+lose2 1.0
+"""
+
diff --git a/multiagent/test_cases/q4/0-eval-function-win-states-1.solution b/multiagent/test_cases/q4/0-eval-function-win-states-1.solution
new file mode 100644
index 0000000..cb5d436
--- /dev/null
+++ b/multiagent/test_cases/q4/0-eval-function-win-states-1.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-eval-function-win-states-1.test.
+action: "Left"
+generated: "root win1 win2"
diff --git a/multiagent/test_cases/q4/0-eval-function-win-states-1.test b/multiagent/test_cases/q4/0-eval-function-win-states-1.test
new file mode 100644
index 0000000..d4ffd1b
--- /dev/null
+++ b/multiagent/test_cases/q4/0-eval-function-win-states-1.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1     win2
+      1       0
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 1.0
+win2 0.0
+"""
+
diff --git a/multiagent/test_cases/q4/0-eval-function-win-states-2.solution b/multiagent/test_cases/q4/0-eval-function-win-states-2.solution
new file mode 100644
index 0000000..76d6e48
--- /dev/null
+++ b/multiagent/test_cases/q4/0-eval-function-win-states-2.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-eval-function-win-states-2.test.
+action: "Right"
+generated: "root win1 win2"
diff --git a/multiagent/test_cases/q4/0-eval-function-win-states-2.test b/multiagent/test_cases/q4/0-eval-function-win-states-2.test
new file mode 100644
index 0000000..4fdd8fc
--- /dev/null
+++ b/multiagent/test_cases/q4/0-eval-function-win-states-2.test
@@ -0,0 +1,30 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+        root
+       /    \
+    win1    win2
+      0      1
+
+If your algorithm is returning a different
+action, make sure you are calling the
+evaluation function on winning states.
+"""
+num_agents: "2"
+
+start_state: "root"
+win_states: "win1 win2"
+lose_states: ""
+
+successors: """
+root Left win1
+root Right win2
+"""
+
+evaluation: """
+win1 0.0
+win2 1.0
+"""
+
diff --git a/multiagent/test_cases/q4/0-expectimax1.solution b/multiagent/test_cases/q4/0-expectimax1.solution
new file mode 100644
index 0000000..ff7dfe6
--- /dev/null
+++ b/multiagent/test_cases/q4/0-expectimax1.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/0-expectimax1.test.
+action: "Left"
+generated: "A B C D E F G H I exp1 exp2 exp3 max"
diff --git a/multiagent/test_cases/q4/0-expectimax1.test b/multiagent/test_cases/q4/0-expectimax1.test
new file mode 100644
index 0000000..deee59a
--- /dev/null
+++ b/multiagent/test_cases/q4/0-expectimax1.test
@@ -0,0 +1,48 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+#  Tree adapted from lecture 6 slides
+diagram: """
+           max
+      /-/   |   \--\
+     /      |       \
+    /       |        \
+ exp1      exp2      exp3
+  /|\      /|\       /|\ 
+ / | \    / | \     / | \
+A  B  C  D  E  F   G  H  I  
+3 12  8  2  4  6  14  5  2
+"""
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B C D E F G H I"
+lose_states: ""
+
+successors: """
+max Left exp1
+max Center exp2
+max Right exp3
+exp1 Left A
+exp1 Center B
+exp1 Right C
+exp2 Left D
+exp2 Center E
+exp2 Right F
+exp3 Left G
+exp3 Center H
+exp3 Right I
+"""
+
+evaluation: """
+A 3.0
+B 12.0
+C 8.0
+D 2.0
+E 4.0
+F 6.0
+G 14.0
+H 5.0
+I 2.0
+"""
diff --git a/multiagent/test_cases/q4/1-expectimax2.solution b/multiagent/test_cases/q4/1-expectimax2.solution
new file mode 100644
index 0000000..30c8768
--- /dev/null
+++ b/multiagent/test_cases/q4/1-expectimax2.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/1-expectimax2.test.
+action: "Left"
+generated: "A B C D E F G H I exp1 exp2 exp3 max"
diff --git a/multiagent/test_cases/q4/1-expectimax2.test b/multiagent/test_cases/q4/1-expectimax2.test
new file mode 100644
index 0000000..d220fe6
--- /dev/null
+++ b/multiagent/test_cases/q4/1-expectimax2.test
@@ -0,0 +1,48 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+#  Tree from lecture 7 slides
+diagram: """
+           max
+      /-/   |   \--\
+     /      |       \
+    /       |        \
+ exp1      exp2      exp3
+  /|\      /|\       /|\ 
+ / | \    / | \     / | \
+A  B  C  D  E  F   G  H  I  
+3 12  9  2  4  6  15  6  0
+"""
+num_agents: "2"
+
+start_state: "max"
+win_states: "A B C D E F G H I"
+lose_states: ""
+
+successors: """
+max Left exp1
+max Center exp2
+max Right exp3
+exp1 Left A
+exp1 Center B
+exp1 Right C
+exp2 Left D
+exp2 Center E
+exp2 Right F
+exp3 Left G
+exp3 Center H
+exp3 Right I
+"""
+
+evaluation: """
+A 3.0
+B 12.0
+C 9.0
+D 2.0
+E 4.0
+F 6.0
+G 15.0
+H 6.0
+I 0.0
+"""
diff --git a/multiagent/test_cases/q4/2-one-ghost-3level.solution b/multiagent/test_cases/q4/2-one-ghost-3level.solution
new file mode 100644
index 0000000..bde5c83
--- /dev/null
+++ b/multiagent/test_cases/q4/2-one-ghost-3level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/2-one-ghost-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/multiagent/test_cases/q4/2-one-ghost-3level.test b/multiagent/test_cases/q4/2-one-ghost-3level.test
new file mode 100644
index 0000000..5778a1d
--- /dev/null
+++ b/multiagent/test_cases/q4/2-one-ghost-3level.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - exp
+c - max
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/multiagent/test_cases/q4/3-one-ghost-4level.solution b/multiagent/test_cases/q4/3-one-ghost-4level.solution
new file mode 100644
index 0000000..4ba2b47
--- /dev/null
+++ b/multiagent/test_cases/q4/3-one-ghost-4level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/3-one-ghost-4level.test.
+action: "Right"
+generated: "A B C D E F G H I J K L M N O P a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/multiagent/test_cases/q4/3-one-ghost-4level.test b/multiagent/test_cases/q4/3-one-ghost-4level.test
new file mode 100644
index 0000000..6490a48
--- /dev/null
+++ b/multiagent/test_cases/q4/3-one-ghost-4level.test
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - exp
+c - max
+d - exp
+"""
+num_agents: "2"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/multiagent/test_cases/q4/4-two-ghosts-3level.solution b/multiagent/test_cases/q4/4-two-ghosts-3level.solution
new file mode 100644
index 0000000..6dbd664
--- /dev/null
+++ b/multiagent/test_cases/q4/4-two-ghosts-3level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/4-two-ghosts-3level.test.
+action: "Left"
+generated: "a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/multiagent/test_cases/q4/4-two-ghosts-3level.test b/multiagent/test_cases/q4/4-two-ghosts-3level.test
new file mode 100644
index 0000000..d39bf1c
--- /dev/null
+++ b/multiagent/test_cases/q4/4-two-ghosts-3level.test
@@ -0,0 +1,52 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "3"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+ 3    9   10   6     4    7    0    5
+
+a - max
+b - exp
+c - exp
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "d1 d2 d3 d4 d5 d6 d7 d8"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+"""
+
+evaluation: """
+d1 3.0
+d2 9.0
+d3 10.0
+d4 6.0
+d5 4.0
+d6 7.0
+d7 0.0
+d8 5.0
+"""
diff --git a/multiagent/test_cases/q4/5-two-ghosts-4level.solution b/multiagent/test_cases/q4/5-two-ghosts-4level.solution
new file mode 100644
index 0000000..caccbea
--- /dev/null
+++ b/multiagent/test_cases/q4/5-two-ghosts-4level.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/5-two-ghosts-4level.test.
+action: "Left"
+generated: "A B C D E F G H I J K L M N O P a b1 b2 c1 c2 c3 c4 d1 d2 d3 d4 d5 d6 d7 d8"
diff --git a/multiagent/test_cases/q4/5-two-ghosts-4level.test b/multiagent/test_cases/q4/5-two-ghosts-4level.test
new file mode 100644
index 0000000..b2d2733
--- /dev/null
+++ b/multiagent/test_cases/q4/5-two-ghosts-4level.test
@@ -0,0 +1,79 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "4"
+
+diagram: """
+            /-----a------\
+           /              \
+          /                \
+        b1                  b2
+      /    \              /     \
+   c1        c2        c3        c4
+  /  \      /  \      /   \     /   \
+ d1   d2  d3   d4    d5   d6   d7   d8
+/ \  / \  / \  / \   / \  / \  / \  / \ 
+A B  C D  E F  G H   I J  K L  M N  O P
+3 13 5 9 10 11 6 8   1 0  4 7 12 15 2 14
+
+a - max
+b - exp
+c - exp
+d - max
+"""
+num_agents: "3"
+
+start_state: "a"
+win_states: "A B C D E F G H I J K L M N O P"
+lose_states: ""
+
+successors: """
+a Left b1
+a Right b2
+b1 Left c1
+b1 Right c2
+b2 Left c3
+b2 Right c4
+c1 Left d1
+c1 Right d2
+c2 Left d3
+c2 Right d4
+c3 Left d5
+c3 Right d6
+c4 Left d7
+c4 Right d8
+d1 Left A
+d1 Right B
+d2 Left C
+d2 Right D
+d3 Left E
+d3 Right F
+d4 Left G
+d4 Right H
+d5 Left I
+d5 Right J
+d6 Left K
+d6 Right L
+d7 Left M
+d7 Right N
+d8 Left O
+d8 Right P
+"""
+
+evaluation: """
+A 3.0
+B 13.0
+C 5.0
+D 9.0
+E 10.0
+F 11.0
+G 6.0
+H 8.0
+I 1.0
+J 0.0
+K 4.0
+L 7.0
+M 12.0
+N 15.0
+O 2.0
+P 14.0
+"""
diff --git a/multiagent/test_cases/q4/6-1a-check-depth-one-ghost.solution b/multiagent/test_cases/q4/6-1a-check-depth-one-ghost.solution
new file mode 100644
index 0000000..22aebdc
--- /dev/null
+++ b/multiagent/test_cases/q4/6-1a-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-1a-check-depth-one-ghost.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3"
diff --git a/multiagent/test_cases/q4/6-1a-check-depth-one-ghost.test b/multiagent/test_cases/q4/6-1a-check-depth-one-ghost.test
new file mode 100644
index 0000000..4d36ea5
--- /dev/null
+++ b/multiagent/test_cases/q4/6-1a-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 1, the evaluation function is called at level c,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q4/6-1b-check-depth-one-ghost.solution b/multiagent/test_cases/q4/6-1b-check-depth-one-ghost.solution
new file mode 100644
index 0000000..e34e3d3
--- /dev/null
+++ b/multiagent/test_cases/q4/6-1b-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-1b-check-depth-one-ghost.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3"
diff --git a/multiagent/test_cases/q4/6-1b-check-depth-one-ghost.test b/multiagent/test_cases/q4/6-1b-check-depth-one-ghost.test
new file mode 100644
index 0000000..a63d167
--- /dev/null
+++ b/multiagent/test_cases/q4/6-1b-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 2, the evaluation function is called at level e,
+so Center should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q4/6-1c-check-depth-one-ghost.solution b/multiagent/test_cases/q4/6-1c-check-depth-one-ghost.solution
new file mode 100644
index 0000000..cd33b5a
--- /dev/null
+++ b/multiagent/test_cases/q4/6-1c-check-depth-one-ghost.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-1c-check-depth-one-ghost.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/multiagent/test_cases/q4/6-1c-check-depth-one-ghost.test b/multiagent/test_cases/q4/6-1c-check-depth-one-ghost.test
new file mode 100644
index 0000000..84e78f0
--- /dev/null
+++ b/multiagent/test_cases/q4/6-1c-check-depth-one-ghost.test
@@ -0,0 +1,83 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+ 10 c1    0 c2      c3 8
+    |       |        |
+  0 d1    0 d2      d3 8
+    |       |        |
+  0 e1   10 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+    g1      g2      g3
+    0       0        8
+
+a - max
+b - min
+c - max
+d - min
+e - max
+f - min
+
+At depth 3, the evaluation function is called at level g,
+so Right should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "2"
+
+start_state: "a"
+win_states: "g1 g2 g3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 10.0
+c2 0.0
+c3 8.0
+d1 0.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 10.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 0.0
+g3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q4/6-2a-check-depth-two-ghosts.solution b/multiagent/test_cases/q4/6-2a-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..0e9c9e9
--- /dev/null
+++ b/multiagent/test_cases/q4/6-2a-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-2a-check-depth-two-ghosts.test.
+action: "Left"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3"
diff --git a/multiagent/test_cases/q4/6-2a-check-depth-two-ghosts.test b/multiagent/test_cases/q4/6-2a-check-depth-two-ghosts.test
new file mode 100644
index 0000000..36ecd4e
--- /dev/null
+++ b/multiagent/test_cases/q4/6-2a-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "1"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 1, the evaluation function is called at level d,
+so Left should be returned. If your algorithm is returning a
+different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q4/6-2b-check-depth-two-ghosts.solution b/multiagent/test_cases/q4/6-2b-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..3fcde21
--- /dev/null
+++ b/multiagent/test_cases/q4/6-2b-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-2b-check-depth-two-ghosts.test.
+action: "Center"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3"
diff --git a/multiagent/test_cases/q4/6-2b-check-depth-two-ghosts.test b/multiagent/test_cases/q4/6-2b-check-depth-two-ghosts.test
new file mode 100644
index 0000000..d1b85b7
--- /dev/null
+++ b/multiagent/test_cases/q4/6-2b-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "2"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 2, the evaluation function is called at level g,
+so Center should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q4/6-2c-check-depth-two-ghosts.solution b/multiagent/test_cases/q4/6-2c-check-depth-two-ghosts.solution
new file mode 100644
index 0000000..bad1cf9
--- /dev/null
+++ b/multiagent/test_cases/q4/6-2c-check-depth-two-ghosts.solution
@@ -0,0 +1,3 @@
+# This is the solution file for test_cases/q4/6-2c-check-depth-two-ghosts.test.
+action: "Right"
+generated: "a b1 b2 b3 c1 c2 c3 d1 d2 d3 e1 e2 e3 f1 f2 f3 g1 g2 g3 h1 h2 h3 i1 i2 i3 j1 j2 j3"
diff --git a/multiagent/test_cases/q4/6-2c-check-depth-two-ghosts.test b/multiagent/test_cases/q4/6-2c-check-depth-two-ghosts.test
new file mode 100644
index 0000000..6c4c9ea
--- /dev/null
+++ b/multiagent/test_cases/q4/6-2c-check-depth-two-ghosts.test
@@ -0,0 +1,110 @@
+class: "GraphGameTreeTest"
+alg: "ExpectimaxAgent"
+depth: "3"
+
+diagram: """
+            a
+      /-/   |   \--\
+     /      |       \
+  0 b1    0 b2      b3 8
+    |       |        |
+  0 c1    0 c2      c3 8
+    |       |        |
+ 10 d1    0 d2      d3 8
+    |       |        |
+  0 e1    0 e2      e3 8
+    |       |        |
+  0 f1    0 f2      f3 8
+    |       |        |
+  0 g1   10 g2      g3 8
+    |       |        |
+  0 h1    0 h2      h3 8
+    |       |        |
+  0 i1    0 i2      i3 8
+    |       |        |
+    j1      j2      j3
+    0       0        8
+
+a - max
+b - min
+c - min
+d - max
+e - min
+f - min
+g - max
+h - min
+i - min
+
+At depth 3, the evaluation function is called at level j,
+so Right should be returned. If your algorithm is returning
+a different action, check how you implemented your depth.
+"""
+
+num_agents: "3"
+
+start_state: "a"
+win_states: "j1 j2 j3"
+lose_states: ""
+
+successors: """
+a Left b1
+a Center b2
+a Right b3
+b1 Center c1
+b2 Center c2
+b3 Center c3
+c1 Center d1
+c2 Center d2
+c3 Center d3
+d1 Center e1
+d2 Center e2
+d3 Center e3
+e1 Center f1
+e2 Center f2
+e3 Center f3
+f1 Center g1
+f2 Center g2
+f3 Center g3
+g1 Center h1
+g2 Center h2
+g3 Center h3
+h1 Center i1
+h2 Center i2
+h3 Center i3
+i1 Center j1
+i2 Center j2
+i3 Center j3
+"""
+
+
+evaluation: """
+b1 0.0
+b2 0.0
+b3 8.0
+c1 0.0
+c2 0.0
+c3 8.0
+d1 10.0
+d2 0.0
+d3 8.0
+e1 0.0
+e2 0.0
+e3 8.0
+f1 0.0
+f2 0.0
+f3 8.0
+g1 0.0
+g2 10.0
+g3 8.0
+h1 0.0
+h2 0.0
+h3 8.0
+i1 0.0
+i2 0.0
+i3 8.0
+j1 0.0
+j2 0.0
+j3 8.0
+"""
+
+
diff --git a/multiagent/test_cases/q4/7-pacman-game.solution b/multiagent/test_cases/q4/7-pacman-game.solution
new file mode 100644
index 0000000..ecc544b
--- /dev/null
+++ b/multiagent/test_cases/q4/7-pacman-game.solution
@@ -0,0 +1,444 @@
+optimalActions: """
+[[["West", "East"], 59], [["West", "East"], 35]]
+[[["West"], 190], [["West"], 127]]
+[[["West"], 190], [["West"], 135]]
+[[["West", "North"], 120], [["West", "North"], 82]]
+[[["West"], 77], [["West"], 57]]
+[[["West", "North"], 143], [["West", "North"], 97]]
+[[["West"], 155], [["West"], 110]]
+[[["West"], 40], [["West"], 27]]
+[[["North"], 64], [["North"], 43]]
+[[["North"], 85], [["North"], 57]]
+[[["North"], 106], [["North"], 71]]
+[[["North"], 97], [["North"], 65]]
+[[["East"], 154], [["East"], 103]]
+[[["Stop"], 130], [["West"], 85]]
+[[["West"], 30], [["West"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["North"], 29], [["North"], 18]]
+[[["North"], 50], [["North"], 31]]
+[[["West"], 55], [["West"], 36]]
+[[["East"], 29], [["East"], 16]]
+[[["North"], 89], [["North"], 61]]
+[[["East", "North"], 161], [["East", "North"], 121]]
+[[["East", "North"], 221], [["East", "North"], 166]]
+[[["North", "South"], 105], [["North", "South"], 77]]
+[[["West"], 69], [["West"], 51]]
+[[["West"], 94], [["West"], 69]]
+[[["West", "Stop"], 57], [["West"], 42]]
+[[["West", "Stop", "East"], 69], [["West", "East"], 49]]
+[[["West", "Stop", "East"], 61], [["West", "East"], 41]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 28], [["East", "South"], 19]]
+[[["Stop", "East", "South"], 34], [["East", "South"], 23]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 55], [["East", "South"], 37]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 64], [["East", "South"], 43]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 61], [["East", "South"], 41]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 102], [["East", "South"], 67]]
+[[["Stop", "South"], 23], [["South"], 13]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 29], [["East", "North"], 18]]
+[[["East"], 38], [["East"], 22]]
+[[["North"], 29], [["North"], 18]]
+[[["North"], 38], [["North"], 22]]
+[[["East"], 33], [["East"], 22]]
+[[["East"], 37], [["East"], 18]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 37], [["East"], 26]]
+[[["East"], 69], [["East"], 41]]
+[[["East"], 56], [["East"], 26]]
+[[["East"], 44], [["East"], 29]]
+[[["North", "South"], 83], [["North", "South"], 52]]
+[[["East", "North"], 121], [["East", "North"], 74]]
+[[["East", "North"], 97], [["East", "North"], 73]]
+[[["North", "South"], 173], [["North", "South"], 130]]
+[[["West", "East"], 90], [["West", "East"], 66]]
+[[["West", "Stop", "East"], 161], [["West", "East"], 118]]
+[[["Stop", "East", "South"], 58], [["East", "South"], 43]]
+[[["Stop", "East"], 120], [["East"], 85]]
+[[["East"], 78], [["East"], 45]]
+[[["West"], 77], [["West"], 42]]
+[[["South"], 83], [["South"], 48]]
+[[["South"], 49], [["South"], 37]]
+[[["South"], 185], [["South"], 104]]
+[[["South"], 68], [["South"], 41]]
+[[["West"], 30], [["West"], 18]]
+[[["West"], 56], [["West"], 29]]
+[[["West"], 14], [["West"], 10]]
+[[["West"], 20], [["West"], 14]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 13], [["West"], 9]]
+[[["West"], 16], [["West"], 12]]
+[[["West", "North"], 30], [["West", "North"], 20]]
+[[["West"], 38], [["West"], 23]]
+[[["West", "Stop", "East", "North"], 70], [["West", "East", "North"], 46]]
+[[["West", "Stop", "East"], 128], [["West", "East"], 89]]
+[[["West", "Stop", "East"], 31], [["West", "East"], 20]]
+[[["Stop", "East", "North"], 69], [["East", "North"], 45]]
+[[["Stop", "North"], 58], [["North"], 31]]
+[[["North"], 34], [["North"], 19]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 34], [["North"], 19]]
+[[["East"], 30], [["East"], 17]]
+[[["East"], 19], [["East"], 11]]
+[[["East"], 44], [["East"], 29]]
+[[["East", "South"], 87], [["East", "South"], 60]]
+[[["East", "South"], 108], [["East", "South"], 62]]
+[[["South"], 120], [["South"], 61]]
+[[["North", "South"], 209], [["North", "South"], 132]]
+[[["West"], 108], [["West"], 60]]
+[[["West", "Stop", "East", "South"], 83], [["West", "East", "South"], 61]]
+[[["West", "Stop", "East", "South"], 90], [["West", "East", "South"], 66]]
+[[["West", "Stop", "East"], 134], [["West", "East"], 95]]
+[[["West", "Stop", "East"], 82], [["West", "East"], 55]]
+[[["Stop", "East", "South"], 142], [["East", "South"], 95]]
+[[["Stop", "East", "South"], 98], [["East", "South"], 65]]
+[[["Stop", "East", "South"], 128], [["East", "South"], 86]]
+[[["Stop", "East", "South"], 82], [["East", "South"], 55]]
+[[["Stop", "East", "South"], 85], [["East", "South"], 57]]
+[[["Stop", "East", "South"], 190], [["East", "South"], 127]]
+[[["Stop", "East", "South"], 158], [["East", "South"], 103]]
+[[["Stop", "South"], 50], [["South"], 27]]
+[[["South"], 30], [["South"], 17]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["South"], 15], [["South"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East", "North"], 29], [["East", "North"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 41], [["East", "North"], 24]]
+[[["East"], 59], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["East"], 26], [["East"], 15]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 15], [["East"], 9]]
+[[["East"], 18], [["East"], 12]]
+[[["East"], 29], [["East"], 18]]
+[[["East"], 37], [["East"], 22]]
+[[["East", "North"], 41], [["East", "North"], 24]]
+[[["East"], 59], [["East"], 29]]
+[[["East"], 19], [["East"], 11]]
+[[["North"], 26], [["North"], 15]]
+[[["North"], 19], [["North"], 11]]
+[[["North"], 30], [["North"], 17]]
+[[["North"], 34], [["North"], 19]]
+[[["West"], 34], [["West"], 19]]
+[[["West"], 25], [["West"], 13]]
+[[["West", "Stop", "East"], 7], [["West", "East"], 3]]
+"""
+altDepthActions: """
+[["West", "East"], ["West", "East"], ["West", "East"], ["West", "East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West", "Stop"], ["West"], ["Stop"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["West"], ["West"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West", "Stop"], ["West"]]
+[["West"], ["West"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North", "South"], ["North", "South"], ["South"], ["South"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"], ["North"], ["North"]]
+[["West", "East"], ["West", "East"], ["East"], ["East"]]
+[["West"], ["West"], ["East"], ["East"]]
+[["Stop", "East", "South"], ["East", "South"], ["East"], ["East"]]
+[["Stop", "East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["West", "East"], ["West", "East"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "North"], ["West", "North"], ["West", "North"], ["West", "North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"], ["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"], ["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"], ["Stop", "North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"], ["East", "South"], ["East", "South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["North", "South"], ["North", "South"], ["North", "South"], ["North", "South"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"], ["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"], ["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"], ["Stop", "South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["South"], ["South"], ["South"], ["South"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East", "North"], ["East", "North"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East", "North"], ["East", "North"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["East"], ["East"], ["East"], ["East"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["North"], ["North"], ["North"], ["North"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West"], ["West"], ["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"], ["West", "Stop", "East"], ["West", "East"]]
+"""
+partialPlyBugActions: """
+[["West", "East"], ["West", "East"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["Stop"], ["West"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North", "South"], ["North", "South"]]
+[["East", "North"], ["East", "North"]]
+[["East", "North"], ["East", "North"]]
+[["North", "South"], ["North", "South"]]
+[["West", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East"], ["East"]]
+[["East"], ["East"]]
+[["West"], ["West"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "North"], ["West", "North"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "North"], ["West", "East", "North"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "North"], ["East", "North"]]
+[["Stop", "North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "South"], ["East", "South"]]
+[["East", "South"], ["East", "South"]]
+[["South"], ["South"]]
+[["North", "South"], ["North", "South"]]
+[["West"], ["West"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East", "South"], ["West", "East", "South"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["West", "Stop", "East"], ["West", "East"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "East", "South"], ["East", "South"]]
+[["Stop", "South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["South"], ["South"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["East", "North"], ["East", "North"]]
+[["East"], ["East"]]
+[["East"], ["East"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["North"], ["North"]]
+[["West"], ["West"]]
+[["West"], ["West"]]
+[["West", "Stop", "East"], ["West", "East"]]
+"""
diff --git a/multiagent/test_cases/q4/7-pacman-game.test b/multiagent/test_cases/q4/7-pacman-game.test
new file mode 100644
index 0000000..435cf2f
--- /dev/null
+++ b/multiagent/test_cases/q4/7-pacman-game.test
@@ -0,0 +1,19 @@
+class: "PacmanGameTreeTest"
+alg: "ExpectimaxAgent"
+seed: "0"
+depth: "2"
+max_points: "4"
+
+# The following specifies the layout to be used 
+layoutName: "smallClassic"
+layout: """
+%%%%%%%%%%%%%%%%%%%%
+%......%G  G%......%
+%.%%...%%  %%...%%.%
+%.%o.%........%.o%.%
+%.%%.%.%%%%%%.%.%%.%
+%........P.........%
+%%%%%%%%%%%%%%%%%%%%
+"""
+
+
diff --git a/multiagent/test_cases/q4/CONFIG b/multiagent/test_cases/q4/CONFIG
new file mode 100644
index 0000000..a5adc3f
--- /dev/null
+++ b/multiagent/test_cases/q4/CONFIG
@@ -0,0 +1,2 @@
+max_points: "5"
+class: "PassAllTestsQuestion"
diff --git a/multiagent/test_cases/q5/CONFIG b/multiagent/test_cases/q5/CONFIG
new file mode 100644
index 0000000..df50d84
--- /dev/null
+++ b/multiagent/test_cases/q5/CONFIG
@@ -0,0 +1,2 @@
+max_points: "6"
+class: "PartialCreditQuestion"
diff --git a/multiagent/test_cases/q5/grade-agent.solution b/multiagent/test_cases/q5/grade-agent.solution
new file mode 100644
index 0000000..55fcfc8
--- /dev/null
+++ b/multiagent/test_cases/q5/grade-agent.solution
@@ -0,0 +1,2 @@
+# This is the solution file for test_cases/q5/grade-agent.test.
+# File intentionally blank.
diff --git a/multiagent/test_cases/q5/grade-agent.test b/multiagent/test_cases/q5/grade-agent.test
new file mode 100644
index 0000000..4109586
--- /dev/null
+++ b/multiagent/test_cases/q5/grade-agent.test
@@ -0,0 +1,18 @@
+class: "EvalAgentTest"
+
+agentName: "ExpectimaxAgent"
+agentArgs: "evalFn=better"
+layoutName: "smallClassic"
+maxTime: "120"
+numGames: "10"
+
+nonTimeoutMinimum: "0"
+nonTimeoutThresholds: "10"
+
+scoreThresholds: "500 1000"
+
+winsMinimum: "1"
+winsThresholds: "1 5 10"
+
+randomSeed: "0"
+ghosts: "[RandomGhost(1)]"
diff --git a/multiagent/textDisplay.py b/multiagent/textDisplay.py
new file mode 100644
index 0000000..b39fd9e
--- /dev/null
+++ b/multiagent/textDisplay.py
@@ -0,0 +1,85 @@
+# textDisplay.py
+# --------------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import time
+try:
+    import pacman
+except:
+    pass
+
+DRAW_EVERY = 1
+SLEEP_TIME = 0  # This can be overwritten by __init__
+DISPLAY_MOVES = False
+QUIET = False  # Supresses output
+
+
+class NullGraphics:
+    def initialize(self, state, isBlue=False):
+        pass
+
+    def update(self, state):
+        pass
+
+    def checkNullDisplay(self):
+        return True
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print(state)
+
+    def updateDistributions(self, dist):
+        pass
+
+    def finish(self):
+        pass
+
+
+class PacmanGraphics:
+    def __init__(self, speed=None):
+        if speed != None:
+            global SLEEP_TIME
+            SLEEP_TIME = speed
+
+    def initialize(self, state, isBlue=False):
+        self.draw(state)
+        self.pause()
+        self.turn = 0
+        self.agentCounter = 0
+
+    def update(self, state):
+        numAgents = len(state.agentStates)
+        self.agentCounter = (self.agentCounter + 1) % numAgents
+        if self.agentCounter == 0:
+            self.turn += 1
+            if DISPLAY_MOVES:
+                ghosts = [pacman.nearestPoint(
+                    state.getGhostPosition(i)) for i in range(1, numAgents)]
+                print("%4d) P: %-8s" % (self.turn, str(pacman.nearestPoint(state.getPacmanPosition()))),
+                      '| Score: %-5d' % state.score, '| Ghosts:', ghosts)
+            if self.turn % DRAW_EVERY == 0:
+                self.draw(state)
+                self.pause()
+        if state._win or state._lose:
+            self.draw(state)
+
+    def pause(self):
+        time.sleep(SLEEP_TIME)
+
+    def draw(self, state):
+        print(state)
+
+    def finish(self):
+        pass
diff --git a/multiagent/util.py b/multiagent/util.py
new file mode 100644
index 0000000..4bf3e1e
--- /dev/null
+++ b/multiagent/util.py
@@ -0,0 +1,717 @@
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+# util.py
+# -------
+# Licensing Information:  You are free to use or extend these projects for
+# educational purposes provided that (1) you do not distribute or publish
+# solutions, (2) you retain this notice, and (3) you provide clear
+# attribution to UC Berkeley, including a link to http://ai.berkeley.edu.
+#
+# Attribution Information: The Pacman AI projects were developed at UC Berkeley.
+# The core projects and autograders were primarily created by John DeNero
+# (denero@cs.berkeley.edu) and Dan Klein (klein@cs.berkeley.edu).
+# Student side autograding was added by Brad Miller, Nick Hay, and
+# Pieter Abbeel (pabbeel@cs.berkeley.edu).
+
+
+import sys
+import inspect
+import heapq
+import random
+import io
+
+
+class FixedRandom:
+    def __init__(self):
+        fixedState = (3, (2147483648, 507801126, 683453281, 310439348, 2597246090,
+                          2209084787, 2267831527, 979920060, 3098657677, 37650879, 807947081, 3974896263,
+                          881243242, 3100634921, 1334775171, 3965168385, 746264660, 4074750168, 500078808,
+                          776561771, 702988163, 1636311725, 2559226045, 157578202, 2498342920, 2794591496,
+                          4130598723, 496985844, 2944563015, 3731321600, 3514814613, 3362575829, 3038768745,
+                          2206497038, 1108748846, 1317460727, 3134077628, 988312410, 1674063516, 746456451,
+                          3958482413, 1857117812, 708750586, 1583423339, 3466495450, 1536929345, 1137240525,
+                          3875025632, 2466137587, 1235845595, 4214575620, 3792516855, 657994358, 1241843248,
+                          1695651859, 3678946666, 1929922113, 2351044952, 2317810202, 2039319015, 460787996,
+                          3654096216, 4068721415, 1814163703, 2904112444, 1386111013, 574629867, 2654529343,
+                          3833135042, 2725328455, 552431551, 4006991378, 1331562057, 3710134542, 303171486,
+                          1203231078, 2670768975, 54570816, 2679609001, 578983064, 1271454725, 3230871056,
+                          2496832891, 2944938195, 1608828728, 367886575, 2544708204, 103775539, 1912402393,
+                          1098482180, 2738577070, 3091646463, 1505274463, 2079416566, 659100352, 839995305,
+                          1696257633, 274389836, 3973303017, 671127655, 1061109122, 517486945, 1379749962,
+                          3421383928, 3116950429, 2165882425, 2346928266, 2892678711, 2936066049, 1316407868,
+                          2873411858, 4279682888, 2744351923, 3290373816, 1014377279, 955200944, 4220990860,
+                          2386098930, 1772997650, 3757346974, 1621616438, 2877097197, 442116595, 2010480266,
+                          2867861469, 2955352695, 605335967, 2222936009, 2067554933, 4129906358, 1519608541,
+                          1195006590, 1942991038, 2736562236, 279162408, 1415982909, 4099901426, 1732201505,
+                          2934657937, 860563237, 2479235483, 3081651097, 2244720867, 3112631622, 1636991639,
+                          3860393305, 2312061927, 48780114, 1149090394, 2643246550, 1764050647, 3836789087,
+                          3474859076, 4237194338, 1735191073, 2150369208, 92164394, 756974036, 2314453957,
+                          323969533, 4267621035, 283649842, 810004843, 727855536, 1757827251, 3334960421,
+                          3261035106, 38417393, 2660980472, 1256633965, 2184045390, 811213141, 2857482069,
+                          2237770878, 3891003138, 2787806886, 2435192790, 2249324662, 3507764896, 995388363,
+                          856944153, 619213904, 3233967826, 3703465555, 3286531781, 3863193356, 2992340714,
+                          413696855, 3865185632, 1704163171, 3043634452, 2225424707, 2199018022, 3506117517,
+                          3311559776, 3374443561, 1207829628, 668793165, 1822020716, 2082656160, 1160606415,
+                          3034757648, 741703672, 3094328738, 459332691, 2702383376, 1610239915, 4162939394,
+                          557861574, 3805706338, 3832520705, 1248934879, 3250424034, 892335058, 74323433,
+                          3209751608, 3213220797, 3444035873, 3743886725, 1783837251, 610968664, 580745246,
+                          4041979504, 201684874, 2673219253, 1377283008, 3497299167, 2344209394, 2304982920,
+                          3081403782, 2599256854, 3184475235, 3373055826, 695186388, 2423332338, 222864327,
+                          1258227992, 3627871647, 3487724980, 4027953808, 3053320360, 533627073, 3026232514,
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+                          1428147157, 2261125391, 1611208390, 1134826333, 2374102525, 3833625209, 2266397263,
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+                          509704467, 2582695198, 4256268040, 3391197562, 1460642842, 1617931012, 457825497,
+                          1031452907, 1330422862, 4125947620, 2280712485, 431892090, 2387410588, 2061126784,
+                          896457479, 3480499461, 2488196663, 4021103792, 1877063114, 2744470201, 1046140599,
+                          2129952955, 3583049218, 4217723693, 2720341743, 820661843, 1079873609, 3360954200,
+                          3652304997, 3335838575, 2178810636, 1908053374, 4026721976, 1793145418, 476541615,
+                          973420250, 515553040, 919292001, 2601786155, 1685119450, 3030170809, 1590676150,
+                          1665099167, 651151584, 2077190587, 957892642, 646336572, 2743719258, 866169074,
+                          851118829, 4225766285, 963748226, 799549420, 1955032629, 799460000, 2425744063,
+                          2441291571, 1928963772, 528930629, 2591962884, 3495142819, 1896021824, 901320159,
+                          3181820243, 843061941, 3338628510, 3782438992, 9515330, 1705797226, 953535929,
+                          764833876, 3202464965, 2970244591, 519154982, 3390617541, 566616744, 3438031503,
+                          1853838297, 170608755, 1393728434, 676900116, 3184965776, 1843100290, 78995357,
+                          2227939888, 3460264600, 1745705055, 1474086965, 572796246, 4081303004, 882828851,
+                          1295445825, 137639900, 3304579600, 2722437017, 4093422709, 273203373, 2666507854,
+                          3998836510, 493829981, 1623949669, 3482036755, 3390023939, 833233937, 1639668730,
+                          1499455075, 249728260, 1210694006, 3836497489, 1551488720, 3253074267, 3388238003,
+                          2372035079, 3945715164, 2029501215, 3362012634, 2007375355, 4074709820, 631485888,
+                          3135015769, 4273087084, 3648076204, 2739943601, 1374020358, 1760722448, 3773939706,
+                          1313027823, 1895251226, 4224465911, 421382535, 1141067370, 3660034846, 3393185650,
+                          1850995280, 1451917312, 3841455409, 3926840308, 1397397252, 2572864479, 2500171350,
+                          3119920613, 531400869, 1626487579, 1099320497, 407414753, 2438623324, 99073255,
+                          3175491512, 656431560, 1153671785, 236307875, 2824738046, 2320621382, 892174056,
+                          230984053, 719791226, 2718891946, 624), None)
+        self.random = random.Random()
+        self.random.setstate(fixedState)
+
+
+"""
+ Data structures useful for implementing SearchAgents
+"""
+
+
+class Stack:
+    "A container with a last-in-first-out (LIFO) queuing policy."
+
+    def __init__(self):
+        self.list = []
+
+    def push(self, item):
+        "Push 'item' onto the stack"
+        self.list.append(item)
+
+    def pop(self):
+        "Pop the most recently pushed item from the stack"
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the stack is empty"
+        return len(self.list) == 0
+
+
+class Queue:
+    "A container with a first-in-first-out (FIFO) queuing policy."
+
+    def __init__(self):
+        self.list = []
+
+    def push(self, item):
+        "Enqueue the 'item' into the queue"
+        self.list.insert(0, item)
+
+    def pop(self):
+        """
+        Dequeue the earliest enqueued item still in the queue. This
+        operation removes the item from the queue.
+        """
+        return self.list.pop()
+
+    def isEmpty(self):
+        "Returns true if the queue is empty"
+        return len(self.list) == 0
+
+
+class PriorityQueue:
+    """
+    Implements a priority queue data structure. Each inserted item
+    has a priority associated with it and the client is usually interested
+    in quick retrieval of the lowest-priority item in the queue. This
+    data structure allows O(1) access to the lowest-priority item.
+    """
+
+    def __init__(self):
+        self.heap = []
+        self.count = 0
+
+    def push(self, item, priority):
+        entry = (priority, self.count, item)
+        heapq.heappush(self.heap, entry)
+        self.count += 1
+
+    def pop(self):
+        (_, _, item) = heapq.heappop(self.heap)
+        return item
+
+    def isEmpty(self):
+        return len(self.heap) == 0
+
+    def update(self, item, priority):
+        # If item already in priority queue with higher priority, update its priority and rebuild the heap.
+        # If item already in priority queue with equal or lower priority, do nothing.
+        # If item not in priority queue, do the same thing as self.push.
+        for index, (p, c, i) in enumerate(self.heap):
+            if i == item:
+                if p <= priority:
+                    break
+                del self.heap[index]
+                self.heap.append((priority, c, item))
+                heapq.heapify(self.heap)
+                break
+        else:
+            self.push(item, priority)
+
+
+class PriorityQueueWithFunction(PriorityQueue):
+    """
+    Implements a priority queue with the same push/pop signature of the
+    Queue and the Stack classes. This is designed for drop-in replacement for
+    those two classes. The caller has to provide a priority function, which
+    extracts each item's priority.
+    """
+
+    def __init__(self, priorityFunction):
+        "priorityFunction (item) -> priority"
+        self.priorityFunction = priorityFunction      # store the priority function
+        PriorityQueue.__init__(self)        # super-class initializer
+
+    def push(self, item):
+        "Adds an item to the queue with priority from the priority function"
+        PriorityQueue.push(self, item, self.priorityFunction(item))
+
+
+def manhattanDistance(xy1, xy2):
+    "Returns the Manhattan distance between points xy1 and xy2"
+    return abs(xy1[0] - xy2[0]) + abs(xy1[1] - xy2[1])
+
+
+"""
+Data structures and functions useful for various course projects
+
+The search project should not need anything below this line.
+"""
+
+
+class Counter(dict):
+    """
+    A counter keeps track of counts for a set of keys.
+
+    The counter class is an extension of the standard python
+    dictionary type.  It is specialized to have number values
+    (integers or floats), and includes a handful of additional
+    functions to ease the task of counting data.  In particular,
+    all keys are defaulted to have value 0.  Using a dictionary:
+
+    a = {}
+    print a['test']
+
+    would give an error, while the Counter class analogue:
+
+    >>> a = Counter()
+    >>> print a['test']
+    0
+
+    returns the default 0 value. Note that to reference a key
+    that you know is contained in the counter,
+    you can still use the dictionary syntax:
+
+    >>> a = Counter()
+    >>> a['test'] = 2
+    >>> print a['test']
+    2
+
+    This is very useful for counting things without initializing their counts,
+    see for example:
+
+    >>> a['blah'] += 1
+    >>> print a['blah']
+    1
+
+    The counter also includes additional functionality useful in implementing
+    the classifiers for this assignment.  Two counters can be added,
+    subtracted or multiplied together.  See below for details.  They can
+    also be normalized and their total count and arg max can be extracted.
+    """
+
+    def __getitem__(self, idx):
+        self.setdefault(idx, 0)
+        return dict.__getitem__(self, idx)
+
+    def incrementAll(self, keys, count):
+        """
+        Increments all elements of keys by the same count.
+
+        >>> a = Counter()
+        >>> a.incrementAll(['one','two', 'three'], 1)
+        >>> a['one']
+        1
+        >>> a['two']
+        1
+        """
+        for key in keys:
+            self[key] += count
+
+    def argMax(self):
+        """
+        Returns the key with the highest value.
+        """
+        if len(list(self.keys())) == 0:
+            return None
+        all = list(self.items())
+        values = [x[1] for x in all]
+        maxIndex = values.index(max(values))
+        return all[maxIndex][0]
+
+    def sortedKeys(self):
+        """
+        Returns a list of keys sorted by their values.  Keys
+        with the highest values will appear first.
+
+        >>> a = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> a['third'] = 1
+        >>> a.sortedKeys()
+        ['second', 'third', 'first']
+        """
+        sortedItems = list(self.items())
+
+        def compare(x, y): return sign(y[1] - x[1])
+        sortedItems.sort(cmp=compare)
+        return [x[0] for x in sortedItems]
+
+    def totalCount(self):
+        """
+        Returns the sum of counts for all keys.
+        """
+        return sum(self.values())
+
+    def normalize(self):
+        """
+        Edits the counter such that the total count of all
+        keys sums to 1.  The ratio of counts for all keys
+        will remain the same. Note that normalizing an empty
+        Counter will result in an error.
+        """
+        total = float(self.totalCount())
+        if total == 0:
+            return
+        for key in list(self.keys()):
+            self[key] = self[key] / total
+
+    def divideAll(self, divisor):
+        """
+        Divides all counts by divisor
+        """
+        divisor = float(divisor)
+        for key in self:
+            self[key] /= divisor
+
+    def copy(self):
+        """
+        Returns a copy of the counter
+        """
+        return Counter(dict.copy(self))
+
+    def __mul__(self, y):
+        """
+        Multiplying two counters gives the dot product of their vectors where
+        each unique label is a vector element.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['second'] = 5
+        >>> a['third'] = 1.5
+        >>> a['fourth'] = 2.5
+        >>> a * b
+        14
+        """
+        sum = 0
+        x = self
+        if len(x) > len(y):
+            x, y = y, x
+        for key in x:
+            if key not in y:
+                continue
+            sum += x[key] * y[key]
+        return sum
+
+    def __radd__(self, y):
+        """
+        Adding another counter to a counter increments the current counter
+        by the values stored in the second counter.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> a += b
+        >>> a['first']
+        1
+        """
+        for key, value in list(y.items()):
+            self[key] += value
+
+    def __add__(self, y):
+        """
+        Adding two counters gives a counter with the union of all keys and
+        counts of the second added to counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a + b)['first']
+        1
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] + y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = y[key]
+        return addend
+
+    def __sub__(self, y):
+        """
+        Subtracting a counter from another gives a counter with the union of all keys and
+        counts of the second subtracted from counts of the first.
+
+        >>> a = Counter()
+        >>> b = Counter()
+        >>> a['first'] = -2
+        >>> a['second'] = 4
+        >>> b['first'] = 3
+        >>> b['third'] = 1
+        >>> (a - b)['first']
+        -5
+        """
+        addend = Counter()
+        for key in self:
+            if key in y:
+                addend[key] = self[key] - y[key]
+            else:
+                addend[key] = self[key]
+        for key in y:
+            if key in self:
+                continue
+            addend[key] = -1 * y[key]
+        return addend
+
+
+def raiseNotDefined():
+    fileName = inspect.stack()[1][1]
+    line = inspect.stack()[1][2]
+    method = inspect.stack()[1][3]
+
+    print("*** Method not implemented: %s at line %s of %s" %
+          (method, line, fileName))
+    sys.exit(1)
+
+
+def normalize(vectorOrCounter):
+    """
+    Normalize a vector or counter by dividing each value by the sum of all values
+    """
+    normalizedCounter = Counter()
+    if type(vectorOrCounter) == type(normalizedCounter):
+        counter = vectorOrCounter
+        total = float(counter.totalCount())
+        if total == 0:
+            return counter
+        for key in list(counter.keys()):
+            value = counter[key]
+            normalizedCounter[key] = value / total
+        return normalizedCounter
+    else:
+        vector = vectorOrCounter
+        s = float(sum(vector))
+        if s == 0:
+            return vector
+        return [el / s for el in vector]
+
+
+def nSample(distribution, values, n):
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    rand = [random.random() for i in range(n)]
+    rand.sort()
+    samples = []
+    samplePos, distPos, cdf = 0, 0, distribution[0]
+    while samplePos < n:
+        if rand[samplePos] < cdf:
+            samplePos += 1
+            samples.append(values[distPos])
+        else:
+            distPos += 1
+            cdf += distribution[distPos]
+    return samples
+
+
+def sample(distribution, values=None):
+    if type(distribution) == Counter:
+        items = sorted(distribution.items())
+        distribution = [i[1] for i in items]
+        values = [i[0] for i in items]
+    if sum(distribution) != 1:
+        distribution = normalize(distribution)
+    choice = random.random()
+    i, total = 0, distribution[0]
+    while choice > total:
+        i += 1
+        total += distribution[i]
+    return values[i]
+
+
+def sampleFromCounter(ctr):
+    items = sorted(ctr.items())
+    return sample([v for k, v in items], [k for k, v in items])
+
+
+def getProbability(value, distribution, values):
+    """
+    Gives the probability of a value under a discrete distribution
+    defined by (distributions, values).
+    """
+    total = 0.0
+    for prob, val in zip(distribution, values):
+        if val == value:
+            total += prob
+    return total
+
+
+def flipCoin(p):
+    r = random.random()
+    return r < p
+
+
+def chooseFromDistribution(distribution):
+    "Takes either a counter or a list of (prob, key) pairs and samples"
+    if type(distribution) == dict or type(distribution) == Counter:
+        return sample(distribution)
+    r = random.random()
+    base = 0.0
+    for prob, element in distribution:
+        base += prob
+        if r <= base:
+            return element
+
+
+def nearestPoint(pos):
+    """
+    Finds the nearest grid point to a position (discretizes).
+    """
+    (current_row, current_col) = pos
+
+    grid_row = int(current_row + 0.5)
+    grid_col = int(current_col + 0.5)
+    return (grid_row, grid_col)
+
+
+def sign(x):
+    """
+    Returns 1 or -1 depending on the sign of x
+    """
+    if(x >= 0):
+        return 1
+    else:
+        return -1
+
+
+def arrayInvert(array):
+    """
+    Inverts a matrix stored as a list of lists.
+    """
+    result = [[] for i in array]
+    for outer in array:
+        for inner in range(len(outer)):
+            result[inner].append(outer[inner])
+    return result
+
+
+def matrixAsList(matrix, value=True):
+    """
+    Turns a matrix into a list of coordinates matching the specified value
+    """
+    rows, cols = len(matrix), len(matrix[0])
+    cells = []
+    for row in range(rows):
+        for col in range(cols):
+            if matrix[row][col] == value:
+                cells.append((row, col))
+    return cells
+
+
+def lookup(name, namespace):
+    """
+    Get a method or class from any imported module from its name.
+    Usage: lookup(functionName, globals())
+    """
+    dots = name.count('.')
+    if dots > 0:
+        moduleName, objName = '.'.join(
+            name.split('.')[:-1]), name.split('.')[-1]
+        module = __import__(moduleName)
+        return getattr(module, objName)
+    else:
+        modules = [obj for obj in list(namespace.values()) if str(
+            type(obj)) == ""]
+        options = [getattr(module, name)
+                   for module in modules if name in dir(module)]
+        options += [obj[1]
+                    for obj in list(namespace.items()) if obj[0] == name]
+        if len(options) == 1:
+            return options[0]
+        if len(options) > 1:
+            raise Exception('Name conflict for %s')
+        raise Exception('%s not found as a method or class' % name)
+
+
+def pause():
+    """
+    Pauses the output stream awaiting user feedback.
+    """
+    print("")
+    input()
+
+
+# code to handle timeouts
+#
+# FIXME
+# NOTE: TimeoutFuncton is NOT reentrant.  Later timeouts will silently
+# disable earlier timeouts.  Could be solved by maintaining a global list
+# of active time outs.  Currently, questions which have test cases calling
+# this have all student code so wrapped.
+#
+import signal
+import time
+
+
+class TimeoutFunctionException(Exception):
+    """Exception to raise on a timeout"""
+    pass
+
+
+class TimeoutFunction:
+    def __init__(self, function, timeout):
+        self.timeout = timeout
+        self.function = function
+
+    def handle_timeout(self, signum, frame):
+        raise TimeoutFunctionException()
+
+    def __call__(self, *args, **keyArgs):
+        # If we have SIGALRM signal, use it to cause an exception if and
+        # when this function runs too long.  Otherwise check the time taken
+        # after the method has returned, and throw an exception then.
+        if hasattr(signal, 'SIGALRM'):
+            old = signal.signal(signal.SIGALRM, self.handle_timeout)
+            signal.alarm(self.timeout)
+            try:
+                result = self.function(*args, **keyArgs)
+            finally:
+                signal.signal(signal.SIGALRM, old)
+            signal.alarm(0)
+        else:
+            startTime = time.time()
+            result = self.function(*args, **keyArgs)
+            timeElapsed = time.time() - startTime
+            if timeElapsed >= self.timeout:
+                self.handle_timeout(None, None)
+        return result
+
+
+_ORIGINAL_STDOUT = None
+_ORIGINAL_STDERR = None
+_MUTED = False
+
+
+class WritableNull:
+    def write(self, string):
+        pass
+
+
+def mutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if _MUTED:
+        return
+    _MUTED = True
+
+    _ORIGINAL_STDOUT = sys.stdout
+    #_ORIGINAL_STDERR = sys.stderr
+    sys.stdout = WritableNull()
+    #sys.stderr = WritableNull()
+
+
+def unmutePrint():
+    global _ORIGINAL_STDOUT, _ORIGINAL_STDERR, _MUTED
+    if not _MUTED:
+        return
+    _MUTED = False
+
+    sys.stdout = _ORIGINAL_STDOUT
+    #sys.stderr = _ORIGINAL_STDERR
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