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# A8solution
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#include <stdio.h>
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#include <stdlib.h>
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#include <stdbool.h>
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#include <string.h>
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#define N 3 // <20><><EFBFBD><EFBFBD>ƴͼ<C6B4><CDBC>ά<EFBFBD>ȣ<EFBFBD><C8A3><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><D2BB>3x3<78><33>ƴͼ
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typedef struct Node {
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int puzzle[N][N]; // <20>洢ƴͼ״̬<D7B4><CCAC><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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struct Node* parent; // ָ<>ڵ<F2B8B8BD><DAB5>ָ<EFBFBD>룬<EFBFBD><EBA3AC><EFBFBD><EFBFBD><EFBFBD><D7B7>·<EFBFBD><C2B7>
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int f, g, h; // A*<2A>㷨<EFBFBD>е<EFBFBD> f, g, h ֵ
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} Node;
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// <20><><EFBFBD><EFBFBD><EFBFBD>µ<EFBFBD>ƴͼ<C6B4>ڵ<EFBFBD>
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Node* createNode(int puzzle[N][N]) {
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Node* newnode = (Node*)malloc(sizeof(Node));
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//<2F><>ʵ<EFBFBD>ָú<D6B8><C3BA><EFBFBD>
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for(int i=0;i<N;i++){
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for(int j=0;j<N;j++){
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newnode->puzzle[i][j]=puzzle[i][j];
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}
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}
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newnode->parent=NULL;
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newnode->f=0;
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newnode->g=0;
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newnode->h=0;
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return newnode;
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}
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// <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƴͼ״̬<D7B4>Ƿ<EFBFBD><C7B7><EFBFBD>ͬ
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bool isSamePuzzle(int a[N][N], int b[N][N]) {
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//<2F><>ͬ<EFBFBD><EFBFBD>true,<2C><><EFBFBD><EFBFBD>false
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int flag=0;
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for(int i=0;i<N;i++){
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for(int j=0;j<N;j++){
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if(a[i][j]!=b[i][j]){
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return false;
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}
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}
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}
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return true;
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}
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// <EFBFBD><EFBFBD>ӡƴͼ״̬
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void printPuzzle(int puzzle[N][N]) {
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//˫<><CBAB>forѭ<EFBFBD><EFBFBD>ʵ<EFBFBD><EFBFBD>ƴͼ<EFBFBD>Ĵ<EFBFBD>ӡ
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for(int i=0;i<N;i++){
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for(int j=0;j<N;j++){
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printf("%d ",puzzle[i][j]);
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}
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printf("\n");
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}
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printf("\n");
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}
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// <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>㵱ǰ״̬<EFBFBD><EFBFBD>Ŀ<EFBFBD><EFBFBD>״̬<EFBFBD>Ĺ<EFBFBD><EFBFBD>ƴ<EFBFBD><EFBFBD><EFBFBD>
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int heuristic(Node* current, Node* goal) {
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int h = 0;
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// <EFBFBD><EFBFBD><EFBFBD>㲻ƥ<EFBFBD><EFBFBD><EFBFBD>ƴͼ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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for(int i=0;i<3;i++){
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for(int j=0;j<3;j++){
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if((current->puzzle[i][j]!=goal->puzzle[i][j])&&i!=2&&j!=2) h++;
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}
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}
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return h;
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}
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// <20>ƶ<EFBFBD><C6B6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>µ<EFBFBD>ƴͼ״̬
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Node* move(Node* current, int dir) {
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int key_x, key_y;//<2F><>¼<EFBFBD>հ<D5B0><D7BF>λ<EFBFBD><CEBB>
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// <20>ҵ<EFBFBD><D2B5>հ<D5B0><D7BF>λ<EFBFBD><CEBB>
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for(int i=0;i<3;i++){
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for(int j=0;j<3;j++){
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if(current->puzzle[i][j]==0){
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key_x=i;key_y=j;
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}
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}
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}
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int new_x,new_y;
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new_x=key_x;
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new_y=key_y;
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//<2F><>new_x<5F><78>new_y<5F><79>ֵ
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if(dir==0)new_y--;
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if(dir==1)new_y++;
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if(dir==2)new_x--;
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if(dir==3)new_x++;
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// <20><><EFBFBD><EFBFBD><EFBFBD>ƶ<EFBFBD><C6B6><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¿<EFBFBD><C2BF>λ<EFBFBD>ã<EFBFBD><C3A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƶ<EFBFBD>
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if(new_x<0||new_x>N-1||new_y>N-1||new_y<0) return NULL;
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// <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD><EFBFBD>Ƿ<EFBFBD><EFBFBD>ڱ߽<EFBFBD><EFBFBD><EFBFBD>
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// <EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>½ڵ㣬<EFBFBD><EFBFBD><EFBFBD>Ƶ<EFBFBD>ǰƴͼ״̬<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>λ<EFBFBD><EFBFBD>
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Node* new_node = createNode(current->puzzle);
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new_node->puzzle[key_x][key_y] = current->puzzle[new_x][new_y];
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new_node->puzzle[new_x][new_y] = 0;
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return new_node;
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}
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// A*<2A>㷨<EFBFBD><E3B7A8>Ѱ<EFBFBD><D1B0><EFBFBD><EFBFBD><EFBFBD>·<EFBFBD><C2B7>
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Node* AStar(Node* start, Node* goal) {
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Node* OPEN[1000]; // <20><><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڴ洢<DAB4><E6B4A2>̽<EFBFBD><CCBD><EFBFBD>Ľڵ<C4BD>
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Node* CLOSED[1000]; // <20>ر<EFBFBD><D8B1>б<EFBFBD><D0B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ڴ洢<DAB4><E6B4A2>̽<EFBFBD><CCBD><EFBFBD>Ľڵ<C4BD>
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int OPEN_SIZE = 0; // <20><><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1>Ĵ<EFBFBD>С
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int CLOSED_SIZE = 0; // <20>ر<EFBFBD><D8B1>б<EFBFBD><D0B1>Ĵ<EFBFBD>С
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OPEN[0] = start; // <20><><EFBFBD><EFBFBD>ʼ<EFBFBD>ڵ<EFBFBD><DAB5><EFBFBD><EFBFBD>ӵ<EFBFBD><D3B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD>
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OPEN_SIZE = 1; // <20><><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1>Ĵ<EFBFBD>С<EFBFBD><D0A1><EFBFBD><EFBFBD>Ϊ1
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CLOSED_SIZE = 0; // <20>ر<EFBFBD><D8B1>б<EFBFBD><D0B1>Ĵ<EFBFBD>С<EFBFBD><D0A1><EFBFBD><EFBFBD>Ϊ0
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while (OPEN_SIZE > 0) {//<2F><>open<65>б<EFBFBD><D0B1><EFBFBD><EFBFBD>в<EFBFBD><D0B2><EFBFBD>
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int min_f = OPEN[0]->f;//<2F><>ʼ<EFBFBD><CABC><EFBFBD><EFBFBD>С<EFBFBD><D0A1>f
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int min_index = 0;
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// <20><><EFBFBD>ҿ<EFBFBD><D2BF><EFBFBD><EFBFBD>б<EFBFBD><D0B1>о<EFBFBD><D0BE><EFBFBD><EFBFBD><EFBFBD>Сfֵ<66>Ľڵ<C4BD>
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for(int i=0;i<OPEN_SIZE;i++){
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if(min_f>OPEN[i]->f){
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min_f=OPEN[i]->f;
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min_index=i;
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}
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}
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Node* current = OPEN[min_index]; // <20><>ȡ<EFBFBD><C8A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Сfֵ<66>Ľڵ<C4BD>
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// <20><><EFBFBD><EFBFBD><EFBFBD>ǰ<EFBFBD>ڵ<EFBFBD><DAB5><EFBFBD>Ŀ<EFBFBD><C4BF>״̬ƥ<CCAC>䣬<EFBFBD><E4A3AC>ʾ<EFBFBD>ҵ<EFBFBD><D2B5><EFBFBD>
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if(isSamePuzzle(current->puzzle,goal->puzzle)==true) return current;
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//<2F><><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1>Ĵ<EFBFBD>С<EFBFBD><D0A1>1<EFBFBD><31><EFBFBD><EFBFBD>ʾ<EFBFBD>ӿ<EFBFBD><D3BF><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD>Ƴ<EFBFBD><C6B3><EFBFBD>һ<EFBFBD><D2BB><EFBFBD>ڵ<EFBFBD>
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OPEN_SIZE--;
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//<2F><><EFBFBD><EFBFBD>С f ֵ<>Ľڵ<C4BD><DAB5>Ƶ<EFBFBD><C6B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD>ĩβ<C4A9><CEB2><EFBFBD>Ա<EFBFBD><D4B1>Ժ<EFBFBD><D4BA><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ӵ<EFBFBD><D3B5>ر<EFBFBD><D8B1>б<EFBFBD><D0B1>С<EFBFBD>
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//<2F><><EFBFBD><EFBFBD>Ϊ<EFBFBD><CEAA><EFBFBD>Ż<EFBFBD><C5BB><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1>Ľṹ<C4BD><E1B9B9>
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Node* temp = OPEN[min_index];
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OPEN[min_index] = OPEN[OPEN_SIZE];
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OPEN[OPEN_SIZE] = temp;
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//<2F><><EFBFBD><EFBFBD>ǰ<EFBFBD>ڵ<EFBFBD><DAB5><EFBFBD><EFBFBD>ӵ<EFBFBD><D3B5>ر<EFBFBD><D8B1>б<EFBFBD><D0B1><EFBFBD><EFBFBD>ر<EFBFBD><D8B1>б<EFBFBD><D0B1><EFBFBD>С<EFBFBD><D0A1>1
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CLOSED[CLOSED_SIZE]=OPEN[OPEN_SIZE];
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CLOSED_SIZE++;
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int key = 0;
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// <20><><EFBFBD>ҵ<EFBFBD>ǰ<EFBFBD>ڵ<EFBFBD><DAB5>пհ<D5B0><D7BF>λ<EFBFBD><CEBB>
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for (int i = 0; i < N; i++) {
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for (int j = 0; j < N; j++) {
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if (current->puzzle[i][j] == 0) {
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key = i * N + j;
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break;
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}
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}
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}
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// <20><><EFBFBD><EFBFBD><EFBFBD>ĸ<EFBFBD><C4B8><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ƶ<EFBFBD><C6B6><EFBFBD><EFBFBD><EFBFBD>
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for (int dir = 0; dir < 4; dir++) {
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Node* new_node = move(current, dir);
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if (new_node != NULL && !isSamePuzzle(new_node->puzzle, current->puzzle)) {
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//<2F>õ<EFBFBD><C3B5><EFBFBD>Ӧ<EFBFBD><D3A6>g<EFBFBD><67>f<EFBFBD><66>hֵ
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int gNew = current->g + 1;
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int hNew = heuristic(new_node, goal);
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int fNew = gNew + hNew;
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bool in_OPEN = false;
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int open_index = -1;
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// <20><><EFBFBD><EFBFBD>½ڵ<C2BD><DAB5>Ƿ<EFBFBD><C7B7>ڿ<EFBFBD><DABF><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD>
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for (int i = 0; i < OPEN_SIZE; i++) {
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if (isSamePuzzle(new_node->puzzle, OPEN[i]->puzzle)) {
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in_OPEN = true;
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open_index = i;
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break;
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}
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}
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bool in_CLOSED = false;
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// <20><><EFBFBD><EFBFBD>½ڵ<C2BD><DAB5>Ƿ<EFBFBD><C7B7>ڹر<DAB9><D8B1>б<EFBFBD><D0B1><EFBFBD>
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for (int i = 0; i < CLOSED_SIZE; i++) {
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if (isSamePuzzle(new_node->puzzle, CLOSED[i]->puzzle)) {
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in_CLOSED = true;
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break;
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}
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}
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//<2F><><EFBFBD>ýڵ<C3BD><DAB5><EFBFBD><EFBFBD><EFBFBD>ڿ<EFBFBD><DABF><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD>Ҳ<EFBFBD><D2B2><EFBFBD>ڹر<DAB9><D8B1>б<EFBFBD><D0B1><EFBFBD>
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if (!in_OPEN && !in_CLOSED) {
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//<2F><>gNew<65><77>hNew<65><77>fNew<65><77><EFBFBD><EFBFBD>new_nod<6F><64>Ӧ<EFBFBD><D3A6>g<EFBFBD><67>h<EFBFBD><68>fֵ<66><D6B5><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>丸<EFBFBD>ڵ<EFBFBD><DAB5><EFBFBD><EFBFBD><EFBFBD>Ϊ<EFBFBD><CEAA>ǰ<EFBFBD>ڵ㡣
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new_node->g=gNew;
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new_node->h=hNew;
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new_node->f=fNew;
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new_node->parent=current;
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// <20><><EFBFBD><EFBFBD><EFBFBD>½ڵ<C2BD>new_node<64><65><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD>С<EFBFBD><D0A1>1
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OPEN[OPEN_SIZE]=new_node;
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OPEN_SIZE++;
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}
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//<2F><><EFBFBD><EFBFBD>½ڵ<C2BD><DAB5>Ѿ<EFBFBD><D1BE>ڿ<EFBFBD><DABF><EFBFBD><EFBFBD>б<EFBFBD><D0B1>У<EFBFBD><D0A3><EFBFBD><EFBFBD>µ<EFBFBD> f ֵ<><D6B5>С<EFBFBD><D0A1><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¿<EFBFBD><C2BF><EFBFBD><EFBFBD>б<EFBFBD><D0B1><EFBFBD><EFBFBD>Ѵ<EFBFBD><D1B4>ڽڵ<DABD><DAB5><EFBFBD><EFBFBD>Ϣ<EFBFBD><CFA2>
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else if (in_OPEN && fNew < OPEN[open_index]->f) {
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OPEN[open_index]->f=fNew;
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OPEN[open_index]->h=hNew;
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OPEN[open_index]->g=gNew;
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OPEN[open_index]->parent=current;
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}
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}
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}
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}
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return NULL; // <20><EFBFBD>
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}
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// <20><>ӡ<EFBFBD><D3A1>·<EFBFBD><C2B7>
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void printPath(Node* final) {
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if (final == NULL) {
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return;
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}
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printPath(final->parent); // <20>ݹ<EFBFBD><DDB9>ӡ·<D3A1><C2B7>
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for (int i = 0; i < N; i++) {
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if (i%3==0){
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printf("-------\n");
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}
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for (int j = 0; j < N; j++) {
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printf("%d ", final->puzzle[i][j]);
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}
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printf("\n");
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}
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}
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int main() {
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int start[N][N] = {{2, 0, 3}, {1, 8, 4}, {7, 6, 5}};
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int target[N][N] = {{1, 2, 3}, {8, 0, 4}, {7, 6, 5}};
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//int start[N][N] = {{2, 8, 3}, {1, 6, 4}, {7, 0, 5}};
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//int target[N][N] = {{1, 2, 3}, {8, 0, 4}, {7, 6, 5}};
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//int start[N][N] = {{2, 8, 3}, {1, 0, 4}, {7, 6, 5}};
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//int target[N][N] = {{1, 2, 3}, {8, 0, 4}, {7, 6, 5}};
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Node* init = createNode(start);
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Node* goal = createNode(target);
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Node* final = AStar(init, goal);
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if (final) {
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printf("This problem has a solution:\n");
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printPath(final); // <20><>ӡ<EFBFBD><D3A1>·<EFBFBD><C2B7>
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} else {
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printf("This problem has no solution<6F><6E>\n");
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}
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return 0;
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}
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