HDU 1072 Nightmare(记忆化DFS)

本文由 Ocrosoft 于 2016-07-04 22:21:56 发表

Nightmare

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 9685    Accepted Submission(s): 4709

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
 

Solution

2是起点,3是终点,0是道路,1是墙,4是重置点。炸弹的初始时间是6,到0的时候会爆炸。走到4的时候,如果不为0则变回6。求不爆炸走到终点的最小步数。

因为有重置点,就变了复杂了。考虑重置点其实只走一次,因为如果走回来,炸弹时间都是6,步数却一定会增加。

vis数组改为time和step数组,分别记录走到某个点的时候的炸弹时间和步数,如果(st>=step[x][y]&&time[x][y]>=ti),这里就不再访问。

#include <cstdio>
#include <cstdlib>
#include <iostream>
#include <conio.h>
#include <cmath>
#include <algorithm>
#include <list>
#include <stack>
#include <string>
#include <vector>
#include <cstring>
#include <cctype>
#include <queue>
#include <set>
#include <climits>
#define ms(a) memset(a,0,sizeof(a))
using namespace std;
int n,m,sx,sy,ans;
int mp[10][10],time[10][10],step[10][10];
int dir[4][2]= {0,1,0,-1,1,0,-1,0};
void dfs(int x,int y,int ti,int st)
{
    if(x<0||y<0||x>=n||y>=m)return;
    if(ti<=0||st>=ans)return;
    if(mp[x][y]==0)return;
    if(mp[x][y]==3)
    {
        if(st<ans)ans=st;
        return;
    }
    if(mp[x][y]==4)ti=6;
    if(st>=step[x][y]&&time[x][y]>=ti)return;
    step[x][y]=st,time[x][y]=ti;
    for(int i=0; i<4; i++)
    {
        dfs(x+dir[i][0],y+dir[i][1],ti-1,st+1);
    }
}
int main()
{
    int N;
    cin>>N;
    while(N--)
    {
        //ms(time);
        //memset(step,1,sizeof(step));
        cin>>n>>m;
        for(int i=0; i<n; i++)
        {
            for(int j=0; j<m; j++)
            {
                time[i][j]=0;
                step[i][j]=INT_MAX;
                cin>>mp[i][j];
                if(mp[i][j]==2)sx=i,sy=j;
            }
        }
        ans=INT_MAX;
        dfs(sx,sy,6,0);
        if(ans==INT_MAX)
            printf("-1\n");
        else
            printf("%d\n",ans);
    }
    return 0;
}

 

欢迎转载,请保留出处与链接。Ocrosoft » HDU 1072 Nightmare(记忆化DFS)

点赞 (0)or拍砖 (0)

评论 抢沙发

  • 昵称 (必填)
  • 邮箱 (必填)
  • 网址