一.题目链接:

UVA-11624

二.题目大意:

给你一个 N × M 的图,图由以下符号组成.

'#':墙

'.':空地

'F':火

'J':起点

每时刻,火会向四周延展(墙可阻隔火的延展)

每时刻,人可以向四周任意一个方向移动.

当人到达边界时,人再走一步即可逃离.

求最少需要多少时间,人能够逃离,如果不能逃离,则输出 "IMPOSSIBLE".

三.分析:

就是在普通的 BFS 里面,模拟火的延展,具体看代码.

四.代码实现:

#include <set>
#include <map>
#include <ctime>
#include <queue>
#include <cmath>
#include <stack>
#include <vector>
#include <cstdio>
#include <sstream>
#include <cstring>
#include <cstdlib>
#include <iostream>
#include <algorithm>
#define eps 1e-6
#define pi acos(-1.0)
#define ll long long int
using namespace std;

const int M = (int)1e3;
const int inf = 0x3f3f3f3f;

struct node
{
    int x;
    int y;
    int step;
};

queue <node> fire;
char mp[M + 5][M + 5];
bool vis[M + 5][M + 5];

int Move[4][2] = {{1, 0}, {-1, 0}, {0, 1}, {0, -1}};

int bfs(struct node cur, int n, int m)
{
    struct node p, t;
    queue <node> q;
    vis[cur.x][cur.y] = 1;
    q.push(cur);
    int times = -1;
    while(!q.empty())
    {
        cur = q.front();
        q.pop();
        if(cur.x == 1 || cur.y == 1 || cur.x == n || cur.y == m)
            return cur.step + 1;
        if(times != cur.step)
        {
            times = cur.step;
            int len = fire.size();
            while((len--) > 0)
            {
                p = fire.front();
                fire.pop();
                for(int i = 0; i < 4; ++i)
                {
                    t = p;
                    t.x += Move[i][0];
                    t.y += Move[i][1];
                    if(t.x >= 1 && t.x <= n && t.y >= 1 && t.y <= m && mp[t.x][t.y] != '#' && mp[t.x][t.y] != 'F')
                    {
                        mp[t.x][t.y] = 'F';
                        fire.push(t);
                    }
                }
            }
        }
        for(int i = 0; i < 4; ++i)
        {
            t = cur;
            t.x += Move[i][0];
            t.y += Move[i][1];
            if(t.x >= 1 && t.x <= n && t.y >= 1 && t.y <= m && mp[t.x][t.y] == '.' && !vis[t.x][t.y])
            {
                t.step++;
                vis[t.x][t.y] = 1;
                q.push(t);
            }
        }
    }
    return -1;
}

int main()
{
    int T;
    scanf("%d", &T);
    for(int ca = 1; ca <= T; ++ca)
    {
        while(!fire.empty())
            fire.pop();
        memset(vis, 0, sizeof(vis));
        int n, m;
        scanf("%d %d", &n, &m);
        struct node start;
        for(int i = 1; i <= n; ++i)
        {
            getchar();
            for(int j = 1; j <= m; ++j)
            {
                mp[i][j] = getchar();
                if(mp[i][j] == 'F')
                {
                    struct node p;
                    p.x = i;
                    p.y = j;
                    p.step = 0;
                    fire.push(p);
                }
                else if(mp[i][j] == 'J')
                {
                    start.x = i;
                    start.y = j;
                    start.step = 0;
                }
            }
        }
        int step = bfs(start, n, m);
        if(~step)
            printf("%d\n", step);
        else
            printf("IMPOSSIBLE\n");
    }
    return 0;
}