dfs 回溯

本文介绍了一个迷宫逃脱游戏的问题背景与解决方案。游戏中,玩家需操控一只小狗,在限定时间内找到出口逃离迷宫。文章详细阐述了如何使用深度优先搜索(DFS)算法解决这一问题,并提供了完整的代码实现。

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/*
The doggie found a bone in an ancient maze, which fascinated him a lot. However, when he picked it up, the maze began to shake, and the doggie could feel the ground sinking. He realized that the bone was a trap, and he tried desperately to get out of this maze. 

The maze was a rectangle with sizes N by M. There was a door in the maze. At the beginning, the door was closed and it would open at the T-th second for a short period of time (less than 1 second). Therefore the doggie had to arrive at the door on exactly the T-th second. In every second, he could move one block to one of the upper, lower, left and right neighboring blocks. Once he entered a block, the ground of this block would start to sink and disappear in the next second. He could not stay at one block for more than one second, nor could he move into a visited block. Can the poor doggie survive? Please help him. 
Input
The input consists of multiple test cases. The first line of each test case contains three integers N, M, and T (1 < N, M < 7; 0 < T < 50), which denote the sizes of the maze and the time at which the door will open, respectively. The next N lines give the maze layout, with each line containing M characters. A character is one of the following: 

'X': a block of wall, which the doggie cannot enter; 
'S': the start point of the doggie; 
'D': the Door; or 
'.': an empty block. 

The input is terminated with three 0's. This test case is not to be processed. 
Output
For each test case, print in one line "YES" if the doggie can survive, or "NO" otherwise. 
Sample Input
4 4 5
S.X.
..X.
..XD
....
3 4 5
S.X.
..X.
...D
0 0 0
Sample Output
NO
YES
*/ 

/*
这题 利用 dfs的回溯  写;
可能 题意我理解的  有偏差

但是  代码能够  不深究了 
*/

#include<stdio.h>
#include<string.h>
int n,m,t,tt,h;
char ss[10][10];
int vis[10][10];
int b[4][2] = {1,0,0,1,-1,0,0,-1};
int dfs(int x,int y)
{
    int x1=0,y1=0,r;
    vis[x][y] =1;
    if(ss[x][y]=='D'&&tt%t==0)
    {
        return 1;
    }
    else if(ss[x][y]=='D')
    {
        return 0;
    }
    for(int i=0;i<4;i++)
    {
        x1 = x+b[i][0];
        y1 = y+b[i][1];
        if(x1>=0&&y1>=0&&x1<n&&y1<m&&vis[x1][y1]==0&&ss[x1][y1]!='X')
        {
            tt++;
            r=dfs(x1,y1);
            if(r==1)    return 1;
            vis[x1][y1] =0;
            tt--;
        }
    }
    return 0;
}
int main()
{
    while(scanf("%d%d%d",&n,&m,&t)&&(n||m||t))
    {
        tt = 0;
        memset(vis,0,sizeof(vis));
        for(int i=0;i<n;i++)     scanf("%s",ss[i]);
        for(int i=0;i<n;i++)
        for(int j=0;j<m;j++)
        if(ss[i][j]=='S')    
        {
            h = dfs(i,j);
            if(h)    printf("YES\n");
            else    printf("NO\n");
            break;
        }
    }
}

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