hdu 1010 Tempter of the Bone(dfs+剪枝)

本文描述了一个关于迷宫中寻找出路的问题,通过深度优先搜索算法帮助一只小狗在限定时间内找到并到达唯一出口。讨论了算法的具体实现过程及关键点。

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Tempter of the Bone

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 133877    Accepted Submission(s): 36005


Problem Description
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.


1.题意:

问小疯狗能不能在t秒时恰好到达出口。每个块只能踩一次。

2.bug点:

能剪枝的全部减掉+起点走完也要标记上


3.代码:

#include<stdio.h>
#include<string.h>
#include<algorithm>
#include<queue>
using namespace std;
char M[105][105];
int n,m,t;
int sx,sy,ex,ey;

int Flag=0;
int dx[4]= {0,0,1,-1};
int dy[4]= {1,-1,0,0};
int Judge(int x,int y,int tt)
{
    if(x<n&&y<m&&x>=0&&y>=0&&tt<=t&&M[x][y]!='X')
    {
        return 1;
    }
    return 0;
}
void Dfs(int x,int y,int c)
{
    if(c==t&&x==ex&&y==ey){Flag=1;return;}
    if(x==ex&&y==ey)return;
    if(c>=t)return;
    if(Flag)return;
    for(int i=0; i<4; i++)
    {
        int a,b;
        a=x+dx[i],b=y+dy[i];
        if(Judge(a,b,c+1))
        {
            M[a][b]='X';
           Dfs(a,b,c+1);
            M[a][b]='.';
            if(Flag)return;
        }
    }
    return;
}
int main()
{
    while(scanf("%d%d%d",&n,&m,&t),(n||m||t))
    {
        for(int i=0; i<n; i++)
        {
            scanf("%s",M[i]);
            for(int j=0; j<m; j++)
            {
                if(M[i][j]=='S')sx=i,sy=j;
                if(M[i][j]=='D')ex=i,ey=j;
            }
        }

        if((abs(sx-ex)+abs(sy-ey)>t)||(sx+sy+ex+ey+t)%2==1)
        {
            printf("NO\n");
            continue;
        }
        Flag=0;
        M[sx][sy]='X';
        Dfs(sx,sy,0);
        if(Flag)
        {
            printf("YES\n");
        }
        else printf("NO\n");
    }
}



 
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