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HDU2612(BFS算法)

發布時間:2023/12/3 编程问答 24 豆豆
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Problem Descrption

Pass a year learning in Hangzhou, yifenfei arrival hometown Ningbo at finally. Leave Ningbo one year, yifenfei have many people to meet. Especially a good friend Merceki.
Yifenfei’s home is at the countryside, but Merceki’s home is in the center of city. So yifenfei made arrangements with Merceki to meet at a KFC. There are many KFC in Ningbo, they want to choose one that let the total time to it be most smallest.
Now give you a Ningbo map, Both yifenfei and Merceki can move up, down ,left, right to the adjacent road by cost 11 minutes.

Input

The input contains multiple test cases.
Each test case include, first two integers n, m. (2<=n,m<=200).
Next n lines, each line included m character.
‘Y’ express yifenfei initial position.
‘M’ ?? express Merceki initial position.
‘#’ forbid road;
‘.’ Road.
‘@’ KCF

Output

For each test case output the minimum total time that both yifenfei and Merceki to arrival one of KFC.You may sure there is always have a KFC that can let them meet.

Sample Input

4 4 Y.#@ .... .#.. @..M 4 4 Y.#@ .... .#.. @#.M 5 5 Y..@. .#... .#... @..M. #...#

Sample Output

66 88 66

問題鏈接:http://acm.hdu.edu.cn/showproblem.php?pid=2612

問題分析:一開始看到以為是DFS,寫完發現,DFS會TL,然后百度一下都是用的BFS

DFS的TL代碼

#include<iostream> using namespace std; int max(int x, int y) {if (x > y)return x;else return y; } char a[200][205]; int p[200][205] = { 0 }; int min2 = 99999999; int x, y,n1,m1,xe,ye,tx,ty; int dfs(int x,int y,int step) {int n[4][2] = { 1,0,-1,0,0,1,0,-1 };for (int i = 0; i < 4; i++){tx =x+ n[i][0];ty =y+ n[i][1];if (tx > n1-1 || ty > m1-1||tx<0||ty<0)continue;if (x == xe && y == ye){if (step + 1 < min2){min2 = step+1;}}if (p[tx][ty] == 0 && a[tx][ty] != '#'){p[tx][ty] = 1;dfs(tx, ty, step + 1);p[tx][ty] = 0;}}return min2;} int main() {while (cin >> n1 >> m1){int b[200][2];//KFCint t = 0;int x1, y1, x2, y2;for (int i = 0; i < n1; i++)for (int j = 0; j < m1; j++){cin >> a[i][j];if (a[i][j] == 'Y') { x1 = i, y1 = j; }if (a[i][j] == '@') { b[t][0] = i, b[t][1] = j, t++; }if (a[i][j] == 'M') { x2 = i, y2 = j; }}int min1 = 9999999, w;for (int i = 0; i < t; i++){xe = b[i][0], ye = b[i][1];w = max(dfs(x1,y1,0), dfs(x2,y2,0)) * 11;if (min1 > w)min1 = w;}cout << min1 << endl;}}

網上搜索到的AC代碼:

#include<stdio.h>#include<algorithm>#include<cstring>#include<queue>using namespace std;int step[4][2]= {1,0,-1,0,0,1,0,-1};bool vis[210][210];char map[210][210];int stepnum[2][210][210];int n,m;struct node{int x,y,step;};int check(int x,int y){if(x>=1&&x<=n&&y>=1&&y<=m&&map[x][y]!='#')return 1;return 0;}void BFS(int a ,int x,int y){memset(vis,false,sizeof(vis));vis[x][y]=true;node point,newpoint;queue<node> q;point.x=x;point.y=y;point.step=0;q.push(point);while(!q.empty()){point=q.front();q.pop();if(map[point.x][point.y]=='@')//遇到KFC 記錄所走的步數{stepnum[a][point.x][point.y]=point.step;}for(int i=0; i<4; i++){newpoint.x=point.x+step[i][0];newpoint.y=point.y+step[i][1];if(check(newpoint.x,newpoint.y)&&!vis[newpoint.x][newpoint.y]){vis[newpoint.x][newpoint.y]=true;newpoint.step=point.step+1;//每走一格 步數+1q.push(newpoint);}}}}int main (void){while(~scanf("%d%d",&n,&m)){int ax,ay,bx,by;getchar();for(int i=1; i<=n; i++){for(int ii=1; ii<=m; ii++){scanf("%c",&map[i][ii]);if(map[i][ii]=='Y'){ax=i;ay=ii;}else if(map[i][ii]=='M'){bx=i;by=ii;}}getchar();}memset(stepnum,0x3f3f3f3f,sizeof(stepnum));//一定要放在BFS之前 如果放在BFS里面,第二次BFS時,會把第一次BFS的值覆蓋 結果出錯BFS(0,ax,ay);BFS(1,bx,by);int step_num=0x3f3f3f3f;for(int i=1; i<=n; i++){for(int ii=1; ii<=m; ii++){if(map[i][ii]=='@')//找出同一個KFC中需要走最小的那個點{step_num=min(step_num,stepnum[0][i][ii]+stepnum[1][i][ii]);}}}printf("%d\n",step_num*11);}return 0;}

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