third

5 years ago · 8568e55461
commit 8568e55461
25 changed files with 358 additions and 0 deletions
--- a/.vs/Dijkstra算法/v16/.suo
+++ b/.vs/Dijkstra算法/v16/.suo
--- a/.vs/Dijkstra算法/v16/Browse.VC.db
+++ b/.vs/Dijkstra算法/v16/Browse.VC.db
--- a/.vs/Dijkstra算法/v16/ipch/AutoPCH/812dbc16253efb15/DIJKSTRA算法.ipch
+++ b/.vs/Dijkstra算法/v16/ipch/AutoPCH/812dbc16253efb15/DIJKSTRA算法.ipch
--- a/.vs/Dijkstra算法/v16/ipch/AutoPCH/caf14717900539f0/DIJKSTRA算法.ipch
+++ b/.vs/Dijkstra算法/v16/ipch/AutoPCH/caf14717900539f0/DIJKSTRA算法.ipch
--- a/.vs/ProjectSettings.json
+++ b/.vs/ProjectSettings.json
@ -0,0 +1,3 @@
+{
+  "CurrentProjectSetting": "无配置"
+}
--- a/.vs/VSWorkspaceState.json
+++ b/.vs/VSWorkspaceState.json
@ -0,0 +1,6 @@
+{
+  "ExpandedNodes": [
+    ""
+  ],
+  "PreviewInSolutionExplorer": false
+}
--- a/.vs/slnx.sqlite
+++ b/.vs/slnx.sqlite
--- a/Debug/Dijkstra算法.exe
+++ b/Debug/Dijkstra算法.exe
--- a/Debug/Dijkstra算法.ilk
+++ b/Debug/Dijkstra算法.ilk
--- a/Debug/Dijkstra算法.obj
+++ b/Debug/Dijkstra算法.obj
--- a/Debug/Dijkstra算法.pdb
+++ b/Debug/Dijkstra算法.pdb
--- a/Debug/Dijkstra算法.tlog/CL.command.1.tlog
+++ b/Debug/Dijkstra算法.tlog/CL.command.1.tlog
--- a/Debug/Dijkstra算法.tlog/CL.read.1.tlog
+++ b/Debug/Dijkstra算法.tlog/CL.read.1.tlog
--- a/Debug/Dijkstra算法.tlog/CL.write.1.tlog
+++ b/Debug/Dijkstra算法.tlog/CL.write.1.tlog
--- a/Debug/Dijkstra算法.tlog/Dijkstra算法.lastbuildstate
+++ b/Debug/Dijkstra算法.tlog/Dijkstra算法.lastbuildstate
@ -0,0 +1,2 @@
+#TargetFrameworkVersion=v4.0:PlatformToolSet=v142:EnableManagedIncrementalBuild=false:VCToolArchitecture=Native32Bit:WindowsTargetPlatformVersion=10.0
+Debug|Win32|C:\Visual Studio\Dijkstra算法\|
--- a/Debug/Dijkstra算法.tlog/link.command.1.tlog
+++ b/Debug/Dijkstra算法.tlog/link.command.1.tlog
--- a/Debug/Dijkstra算法.tlog/link.read.1.tlog
+++ b/Debug/Dijkstra算法.tlog/link.read.1.tlog
--- a/Debug/Dijkstra算法.tlog/link.write.1.tlog
+++ b/Debug/Dijkstra算法.tlog/link.write.1.tlog
--- a/Debug/vc142.idb
+++ b/Debug/vc142.idb
--- a/Debug/vc142.pdb
+++ b/Debug/vc142.pdb
--- a/Dijkstra算法.cpp
+++ b/Dijkstra算法.cpp
@ -0,0 +1,131 @@
+#include<stdio.h>
+#include<stdlib.h>
+#define MaxNv 100
+#define INFINITY 65535
+#define False -1
+#define True 1
+#define ERROR -1
+
+struct GNode {	//图的结构 
+	int Ne;
+	int Nv;
+	int G[MaxNv][MaxNv];
+};
+typedef struct GNode* MGraph;
+
+MGraph CreateGraph(int NvNum) {	//初始化图 
+	int i, j;
+	MGraph Graph = (MGraph)malloc(sizeof(struct GNode));
+	Graph->Nv = NvNum;
+	Graph->Ne = 0;
+	for (i = 0; i < Graph->Nv; i++)
+		for (j = 0; j < Graph->Nv; j++) {
+				Graph->G[i][j] = INFINITY;
+		}
+	return Graph;
+}
+
+MGraph InsertEdge(MGraph Graph, int V1, int V2,int Weight) {	//插入边 
+	Graph->G[V1][V2] = Graph->G[V2][V1] = Weight;
+	return Graph;
+}
+
+MGraph BuildGraph() {		//建图函数 
+	int NvNum, NeNum,Weight;
+	int i;
+	scanf_s("%d", &NvNum);
+	MGraph Graph = CreateGraph(NvNum);
+	scanf_s("%d", &NeNum);
+	Graph->Ne = NeNum;
+	int V1, V2;
+	for (i = 0; i < Graph->Ne; i++) {
+		scanf_s("%d%d%d", &V1, &V2, &Weight);
+		InsertEdge(Graph, V1, V2, Weight);
+	}
+	return Graph;
+}
+
+int FindMin(MGraph Graph, int dist[], int collected[]) {	//寻找未被收录且dist最小的点的下标
+	int i, min = INFINITY, vertex;
+	for (i = 0; i < Graph->Nv; i++) {
+		if (collected[i]==False&&dist[i] < min) {
+			min = dist[i];
+			vertex = i;
+		}
+	}
+	if (min < INFINITY)
+		return vertex;
+	else
+		return ERROR;
+}
+
+bool Dijkstra(MGraph Graph, int dist[], int path[], int s) {
+	int v, w;
+	int collected[MaxNv];
+	for (v = 0; v < Graph->Nv; v++) {
+		dist[v] = Graph->G[s][v];	//初始化所有点的dist为该点到起始点的权值
+		//初始化所有点的path
+		if (Graph->G[s][v] < INFINITY)	//若与起点之间有边
+			path[v] = s;				//则path为起始点下标表示父节点
+		else				//若与起始点之间没有边
+			path[v] = -1;	//则path为-1表示没有父节点
+		collected[v] = False;	//初始化所有点都未被收录
+	}
+	collected[s] = True;		//将起始点收录
+	dist[s] = 0;				//初始化时为INFINITY，这里再初始化为0
+	while (1) {					//开始算法循环
+		v = FindMin(Graph, dist, collected);	//在未收录的点里面找dist最小的
+		if (v == ERROR)							//该连通分支找完返回ERROR
+			break;
+		collected[v] = True;					//收录该点
+		for (w = 0; w < Graph->Nv; w++) {					//对于所有点
+			if (dist[v] + Graph->G[v][w] < dist[w]) {		//若点v的收录可使其他点dist减小
+				dist[w] = dist[v] + Graph->G[v][w];			//则更新dist
+				path[w] = v;
+			}
+		}
+	}
+	return true;
+}
+
+int main(void) {
+	int dist[MaxNv], path[MaxNv], tmp[MaxNv];
+	int i = 1, v, j;
+	MGraph Graph = BuildGraph();
+	Dijkstra(Graph, dist, path, 0);
+	scanf_s("%d", &v);
+	tmp[0] = v;
+	while (1) {			//逆序输出路径
+		v = path[v];
+		tmp[i] = v;
+		i++;
+		if (path[v] == -1)
+			break;
+	}
+	for (j = i-1; j >=0; j--) {
+		printf("%d ", tmp[j]);
+	}
+	return 0;
+}
+/*
+10
+17
+0 1 2
+0 3 5
+1 2 5
+1 3 2
+2 4 8
+2 5 4
+3 5 4
+3 6 2
+4 5 2
+6 5 3
+4 7 5
+5 7 9
+5 8 6
+6 8 7
+7 8 3
+7 9 4
+8 9 8
+P236 图
+*/
--- a/Dijkstra算法.sln
+++ b/Dijkstra算法.sln
@ -0,0 +1,31 @@
+
+Microsoft Visual Studio Solution File, Format Version 12.00
+# Visual Studio Version 16
+VisualStudioVersion = 16.0.29411.108
+MinimumVisualStudioVersion = 10.0.40219.1
+Project("{8BC9CEB8-8B4A-11D0-8D11-00A0C91BC942}") = "Dijkstra算法", "Dijkstra算法.vcxproj", "{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}"
+EndProject
+Global
+	GlobalSection(SolutionConfigurationPlatforms) = preSolution
+		Debug|x64 = Debug|x64
+		Debug|x86 = Debug|x86
+		Release|x64 = Release|x64
+		Release|x86 = Release|x86
+	EndGlobalSection
+	GlobalSection(ProjectConfigurationPlatforms) = postSolution
+		{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}.Debug|x64.ActiveCfg = Debug|x64
+		{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}.Debug|x64.Build.0 = Debug|x64
+		{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}.Debug|x86.ActiveCfg = Debug|Win32
+		{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}.Debug|x86.Build.0 = Debug|Win32
+		{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}.Release|x64.ActiveCfg = Release|x64
+		{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}.Release|x64.Build.0 = Release|x64
+		{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}.Release|x86.ActiveCfg = Release|Win32
+		{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}.Release|x86.Build.0 = Release|Win32
+	EndGlobalSection
+	GlobalSection(SolutionProperties) = preSolution
+		HideSolutionNode = FALSE
+	EndGlobalSection
+	GlobalSection(ExtensibilityGlobals) = postSolution
+		SolutionGuid = {7E610167-7014-420F-AFC1-83B141C181B3}
+	EndGlobalSection
+EndGlobal
--- a/Dijkstra算法.vcxproj
+++ b/Dijkstra算法.vcxproj
@ -0,0 +1,159 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project DefaultTargets="Build" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <ItemGroup Label="ProjectConfigurations">
+    <ProjectConfiguration Include="Debug|Win32">
+      <Configuration>Debug</Configuration>
+      <Platform>Win32</Platform>
+    </ProjectConfiguration>
+    <ProjectConfiguration Include="Release|Win32">
+      <Configuration>Release</Configuration>
+      <Platform>Win32</Platform>
+    </ProjectConfiguration>
+    <ProjectConfiguration Include="Debug|x64">
+      <Configuration>Debug</Configuration>
+      <Platform>x64</Platform>
+    </ProjectConfiguration>
+    <ProjectConfiguration Include="Release|x64">
+      <Configuration>Release</Configuration>
+      <Platform>x64</Platform>
+    </ProjectConfiguration>
+  </ItemGroup>
+  <PropertyGroup Label="Globals">
+    <VCProjectVersion>16.0</VCProjectVersion>
+    <ProjectGuid>{71EEE3DE-0E49-4176-BF1C-4AA4B772A14C}</ProjectGuid>
+    <Keyword>Win32Proj</Keyword>
+    <RootNamespace>Dijkstra算法</RootNamespace>
+    <WindowsTargetPlatformVersion>10.0</WindowsTargetPlatformVersion>
+  </PropertyGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.Default.props" />
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>true</UseDebugLibraries>
+    <PlatformToolset>v142</PlatformToolset>
+    <CharacterSet>Unicode</CharacterSet>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>false</UseDebugLibraries>
+    <PlatformToolset>v142</PlatformToolset>
+    <WholeProgramOptimization>true</WholeProgramOptimization>
+    <CharacterSet>Unicode</CharacterSet>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>true</UseDebugLibraries>
+    <PlatformToolset>v142</PlatformToolset>
+    <CharacterSet>Unicode</CharacterSet>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'" Label="Configuration">
+    <ConfigurationType>Application</ConfigurationType>
+    <UseDebugLibraries>false</UseDebugLibraries>
+    <PlatformToolset>v142</PlatformToolset>
+    <WholeProgramOptimization>true</WholeProgramOptimization>
+    <CharacterSet>Unicode</CharacterSet>
+  </PropertyGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.props" />
+  <ImportGroup Label="ExtensionSettings">
+  </ImportGroup>
+  <ImportGroup Label="Shared">
+  </ImportGroup>
+  <ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
+    <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+  </ImportGroup>
+  <ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
+    <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+  </ImportGroup>
+  <ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Debug|x64'">
+    <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+  </ImportGroup>
+  <ImportGroup Label="PropertySheets" Condition="'$(Configuration)|$(Platform)'=='Release|x64'">
+    <Import Project="$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props" Condition="exists('$(UserRootDir)\Microsoft.Cpp.$(Platform).user.props')" Label="LocalAppDataPlatform" />
+  </ImportGroup>
+  <PropertyGroup Label="UserMacros" />
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
+    <LinkIncremental>true</LinkIncremental>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'">
+    <LinkIncremental>true</LinkIncremental>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
+    <LinkIncremental>false</LinkIncremental>
+  </PropertyGroup>
+  <PropertyGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'">
+    <LinkIncremental>false</LinkIncremental>
+  </PropertyGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|Win32'">
+    <ClCompile>
+      <PrecompiledHeader>
+      </PrecompiledHeader>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>Disabled</Optimization>
+      <SDLCheck>true</SDLCheck>
+      <PreprocessorDefinitions>WIN32;_DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+      <ConformanceMode>true</ConformanceMode>
+    </ClCompile>
+    <Link>
+      <SubSystem>Console</SubSystem>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+    </Link>
+  </ItemDefinitionGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Debug|x64'">
+    <ClCompile>
+      <PrecompiledHeader>
+      </PrecompiledHeader>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>Disabled</Optimization>
+      <SDLCheck>true</SDLCheck>
+      <PreprocessorDefinitions>_DEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+      <ConformanceMode>true</ConformanceMode>
+    </ClCompile>
+    <Link>
+      <SubSystem>Console</SubSystem>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+    </Link>
+  </ItemDefinitionGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|Win32'">
+    <ClCompile>
+      <PrecompiledHeader>
+      </PrecompiledHeader>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>MaxSpeed</Optimization>
+      <FunctionLevelLinking>true</FunctionLevelLinking>
+      <IntrinsicFunctions>true</IntrinsicFunctions>
+      <SDLCheck>true</SDLCheck>
+      <PreprocessorDefinitions>WIN32;NDEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+      <ConformanceMode>true</ConformanceMode>
+    </ClCompile>
+    <Link>
+      <SubSystem>Console</SubSystem>
+      <EnableCOMDATFolding>true</EnableCOMDATFolding>
+      <OptimizeReferences>true</OptimizeReferences>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+    </Link>
+  </ItemDefinitionGroup>
+  <ItemDefinitionGroup Condition="'$(Configuration)|$(Platform)'=='Release|x64'">
+    <ClCompile>
+      <PrecompiledHeader>
+      </PrecompiledHeader>
+      <WarningLevel>Level3</WarningLevel>
+      <Optimization>MaxSpeed</Optimization>
+      <FunctionLevelLinking>true</FunctionLevelLinking>
+      <IntrinsicFunctions>true</IntrinsicFunctions>
+      <SDLCheck>true</SDLCheck>
+      <PreprocessorDefinitions>NDEBUG;_CONSOLE;%(PreprocessorDefinitions)</PreprocessorDefinitions>
+      <ConformanceMode>true</ConformanceMode>
+    </ClCompile>
+    <Link>
+      <SubSystem>Console</SubSystem>
+      <EnableCOMDATFolding>true</EnableCOMDATFolding>
+      <OptimizeReferences>true</OptimizeReferences>
+      <GenerateDebugInformation>true</GenerateDebugInformation>
+    </Link>
+  </ItemDefinitionGroup>
+  <ItemGroup>
+    <ClCompile Include="Dijkstra算法.cpp" />
+  </ItemGroup>
+  <Import Project="$(VCTargetsPath)\Microsoft.Cpp.targets" />
+  <ImportGroup Label="ExtensionTargets">
+  </ImportGroup>
+</Project>
--- a/Dijkstra算法.vcxproj.filters
+++ b/Dijkstra算法.vcxproj.filters
@ -0,0 +1,22 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="4.0" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <ItemGroup>
+    <Filter Include="源文件">
+      <UniqueIdentifier>{4FC737F1-C7A5-4376-A066-2A32D752A2FF}</UniqueIdentifier>
+      <Extensions>cpp;c;cc;cxx;def;odl;idl;hpj;bat;asm;asmx</Extensions>
+    </Filter>
+    <Filter Include="头文件">
+      <UniqueIdentifier>{93995380-89BD-4b04-88EB-625FBE52EBFB}</UniqueIdentifier>
+      <Extensions>h;hh;hpp;hxx;hm;inl;inc;ipp;xsd</Extensions>
+    </Filter>
+    <Filter Include="资源文件">
+      <UniqueIdentifier>{67DA6AB6-F800-4c08-8B7A-83BB121AAD01}</UniqueIdentifier>
+      <Extensions>rc;ico;cur;bmp;dlg;rc2;rct;bin;rgs;gif;jpg;jpeg;jpe;resx;tiff;tif;png;wav;mfcribbon-ms</Extensions>
+    </Filter>
+  </ItemGroup>
+  <ItemGroup>
+    <ClCompile Include="Dijkstra算法.cpp">
+      <Filter>源文件</Filter>
+    </ClCompile>
+  </ItemGroup>
+</Project>
--- a/Dijkstra算法.vcxproj.user
+++ b/Dijkstra算法.vcxproj.user
@ -0,0 +1,4 @@
+<?xml version="1.0" encoding="utf-8"?>
+<Project ToolsVersion="Current" xmlns="http://schemas.microsoft.com/developer/msbuild/2003">
+  <PropertyGroup />
+</Project>