hdu1072（Nightmare）bfs

Nightmare

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 5647    Accepted Submission(s): 2808

Problem Description

Ignatius had a nightmare last night. He found himself in a labyrinth with a time bomb on him. The labyrinth has an exit, Ignatius should get out of the labyrinth before the bomb explodes. The initial exploding time of the bomb is set to 6 minutes. To prevent the bomb from exploding by shake, Ignatius had to move slowly, that is to move from one area to the nearest area(that is, if Ignatius stands on (x,y) now, he could only on (x+1,y), (x-1,y), (x,y+1), or (x,y-1) in the next minute) takes him 1 minute. Some area in the labyrinth contains a Bomb-Reset-Equipment. They could reset the exploding time to 6 minutes.
Given the layout of the labyrinth and Ignatius' start position, please tell Ignatius whether he could get out of the labyrinth, if he could, output the minimum time that he has to use to find the exit of the labyrinth, else output -1.
Here are some rules: 1. We can assume the labyrinth is a 2 array. 2. Each minute, Ignatius could only get to one of the nearest area, and he should not walk out of the border, of course he could not walk on a wall, too. 3. If Ignatius get to the exit when the exploding time turns to 0, he can't get out of the labyrinth. 4. If Ignatius get to the area which contains Bomb-Rest-Equipment when the exploding time turns to 0, he can't use the equipment to reset the bomb. 5. A Bomb-Reset-Equipment can be used as many times as you wish, if it is needed, Ignatius can get to any areas in the labyrinth as many times as you wish. 6. The time to reset the exploding time can be ignore, in other words, if Ignatius get to an area which contain Bomb-Rest-Equipment, and the exploding time is larger than 0, the exploding time would be reset to 6.

 

Input

The input contains several test cases. The first line of the input is a single integer T which is the number of test cases. T test cases follow. Each test case starts with two integers N and M(1<=N,Mm=8) which indicate the size of the labyrinth. Then N lines follow, each line contains M integers. The array indicates the layout of the labyrinth. There are five integers which indicate the different type of area in the labyrinth: 0: The area is a wall, Ignatius should not walk on it. 1: The area contains nothing, Ignatius can walk on it. 2: Ignatius' start position, Ignatius starts his escape from this position. 3: The exit of the labyrinth, Ignatius' target position. 4: The area contains a Bomb-Reset-Equipment, Ignatius can delay the exploding time by walking to these areas.

 

Output

For each test case, if Ignatius can get out of the labyrinth, you should output the minimum time he needs, else you should just output -1.

 

Sample Input

3

3 3

2 1 1

1 1 0

1 1 3

4 8

2 1 1 0 1 1 1 0

1 0 4 1 1 0 4 1

1 0 0 0 0 0 0 1

1 1 1 4 1 1 1 3

5 8

1 2 1 1 1 1 1 4

1 0 0 0 1 0 0 1

1 4 1 0 1 1 0 1

1 0 0 0 0 3 0 1

1 1 4 1 1 1 1 1

 

Sample Output

4

-1

13

 

 

这题不同于其他题的地方就是于虽然也是bfs，但对于走过的路径不能标记，因为可能还要走，

注意题目要求：

如果可以，可以走任意多遍。

这就引发了一个问题，如果不缩减搜索范围，怎么可能走得出来呢？应该说这题好就好在不是

根据走过的路径来标记，而是根据前后两次踏上同一位置的时间长短来标记。

简言之，如果第二次踏上一个位置，那么找出路已用的时间肯定是增加了，那为啥还要走上这条

路呢？唯一的追求就是bomb离爆炸的时间增大了。所以可以利用这个条件来标记了。每次在入队

前检查下爆炸时间是否比上次在同一位置的大，若是，则入队；反之，入队无意义了。

ps：http://acm.hdu.edu.cn/showproblem.php?pid=1072

附上我代码：

#include<iostream>
#include<cstring>
#include<queue>
using namespace std;
int dir[4][2]={{1,0},{0,1},{-1,0},{0,-1}};
int map[9][9];
int mark[9][9];
int i,j,n,m;

struct node
{
    int x,y;
    int time;//记录时间
    int step;//记录步数
}s;

int check(int x,int y)
{
    if(x<0||x>=m||y<0||y>=n)//判断边界
        return 0;
    else
        return 1;
}

void bfs()
{
    queue<node>Q;
    Q.push(s);
    mark[s.x][s.y]=s.time;
    
    node now,next;
    while(!Q.empty ())
    {
        now=Q.front();
        Q.pop();
        for( i=0;i<4;i++)
        {
            next=now;
            next.x+=dir[i][0];
            next.y+=dir[i][1];
            if(!check(next.x,next.y)||!map[next.x][next.y])
                continue;
            next.step++;
            next.time--;
            if(map[next.x][next.y]==3)
            {
                printf("%d
",next.step);
                return ;//结束循环
            }
            else if(map[next.x][next.y]==4)//计时归位
            {
                next.time=6;
            }
            if(next.time>1&&mark[next.x][next.y]<next.time)//标记该点当剩余时间更大时就标记  
            {
                mark[next.x][next.y]=next.time;//标记
                Q.push(next);
            }

        }
    }
    printf("-1
");//队列为空还没找到就是-1了  
} 
int main()
{
    int num;
    scanf("%d",&num);
    while(num--)
    {
        scanf("%d%d",&m,&n);
        for(i=0;i<m;i++)
            for(j=0;j<n;j++)
            {
                scanf("%d",&map[i][j]);
                if(map[i][j]==2)
                {
                    s.x=i;
                    s.y=j;
                    s.time=6;
                    s.step=0;
                }
                mark[i][j]=0;
            }
        bfs();
    }
    return 0;
}

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