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uva11624 Fire! (双bfs)

来源:互联网 作者:佚名 时间:2016-05-30 10:49
Joe works in a maze. Unfortunately, portions of the maze have caught on ?re, and the owner of the maze neglected to create a ?re escape plan. Help Joe escape the maze. Given Joe’s location in the maze and which squares of the maze are on

Joe works in a maze. Unfortunately, portions of the maze have
caught on ?re, and the owner of the maze neglected to create a ?re
escape plan. Help Joe escape the maze.
Given Joe’s location in the maze and which squares of the maze
are on ?re, you must determine whether Joe can exit the maze before
the ?re reaches him, and how fast he can do it.
Joe and the ?re each move one square per minute, vertically or
horizontally (not diagonally). The ?re spreads all four directions
from each square that is on ?re. Joe may exit the maze from any
square that borders the edge of the maze. Neither Joe nor the ?re
may enter a square that is occupied by a wall.
Input
The ?rst line of input contains a single integer, the number of test
cases to follow. The ?rst line of each test case contains the two
integers R and C, separated by spaces, with 1 ≤ R, C ≤ 1000. The
following R lines of the test case each contain one row of the maze. Each of these lines contains exactly
C characters, and each of these characters is one of:
? #, a wall
? ., a passable square
? J, Joe’s initial position in the maze, which is a passable square
? F, a square that is on ?re
There will be exactly one J in each test case.
Output
For each test case, output a single line containing ‘IMPOSSIBLE’ if Joe cannot exit the maze before the
?re reaches him, or an integer giving the earliest time Joe can safely exit the maze, in minutes.
Sample Input
2
4 4
####
#JF#
#..#
#..#
3 3
###
#J.
#.F
Sample Output
3
IMPOSSIBLE


题目链接

思路:由于题中没有说有几个起火点 所以 要用一个队列来维护。

当在T秒时人移动过后 对火点进行扩散

#include <stdio.h>
#include <queue>
#include <string.h>
using namespace std;
char map[1005][1005];
bool vis[1005][1005];
bool vis1[1005][1005];
int dir[4][2]={1,0,-1,0,0,1,0,-1};
int n,m,st_x,st_y;

struct node
{
	int x,y,t;
	friend bool operator <(node a,node b)
	{
		return a.t>b.t;
	}
};
struct node1
{
	int x,y,t;
};
bool limit(int x,int y)
{
	if(x<0||x==n||y<0||y==m||vis[x][y]||map[x][y]=='#'||map[x][y]=='F')
	return false;
	return true;
}
queue<node1>fire;
void fire_spread()
{
	node1 temp1,temp2;
	int T=fire.front().t;
	while(!fire.empty())
	{
		temp1=temp2=fire.front();
	//	printf("**%d %d %d**\n",temp1.x,temp1.y,temp1.t);
		if(temp1.t>T)
		break;
		fire.pop();
		for(int i=0;i<4;i++)
		{
			int xx=temp1.x+dir[i][1];
			int yy=temp1.y+dir[i][0];
			if(!vis1[xx][yy]&&map[xx][yy]!='#'&&xx>=0&&xx<n&&yy>=0&&yy<m)
			{
			//	printf("%d %d %d\n",xx,yy,temp1.t);
				vis1[xx][yy]=true;
				vis[xx][yy]=true;
				temp1.x=xx;temp1.y=yy;temp1.t++;
				fire.push(temp1);
			}
			temp1=temp2;
		}
	}
}
int bfs()
{
	node temp1,temp2;
	priority_queue<node>s;
	while(!s.empty()) s.pop(); 
	temp1.x=st_x,temp1.y=st_y,temp1.t=0;
	s.push(temp1);
	while(!s.empty()) 
	{
		temp1=temp2=s.top();s.pop();
		//要让所有t时间的人走完  才对火进行扩散 
		if(temp1.t>fire.front().t)
		fire_spread();
		if(vis[temp1.x][temp1.y]) continue;
		if(temp1.x==0||temp1.x==n-1||temp1.y==0||temp1.y==m-1)
		return temp1.t;
		vis[temp1.x][temp1.y]=true;
		for(int i=0;i<4;i++)
		{
			int xx=temp1.x+dir[i][0];
			int yy=temp1.y+dir[i][1];
			if(limit(xx,yy))
			{
				temp1.x=xx;temp1.y=yy;temp1.t++;
				s.push(temp1);
			}
			temp1=temp2;
		}
	}
	return -1;
}
int main()
{
	int ncase;
	scanf("%d",&ncase);
	while(ncase--)
	{
		memset(map,false,sizeof(map));
		memset(vis,false,sizeof(vis));
		memset(vis1,false,sizeof(vis1));
		while(!fire.empty()) fire.pop();
		scanf("%d %d",&n,&m);
		for(int i=0;i<n;i++)
		{
			getchar();
			for(int j=0;j<m;j++)
			{
				scanf("%c",&map[i][j]);
				if(map[i][j]=='F')
				{
					node1 temp;
					vis[i][j]=vis1[i][j]=true;
					temp.x=i,temp.y=j,temp.t=0;
					fire.push(temp);
				}
				if(map[i][j]=='J')
				st_x=i,st_y=j;
			}
		}
		int result=bfs();
		if(result==-1)
		printf("IMPOSSIBLE\n");
		else
		printf("%d\n",result+1);
	}
	return 0;
} 


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