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本文介绍了一款简化版坦克大战游戏中的最短路径问题。玩家需操控坦克穿越地图上不同障碍物,如河流、砖墙等,以最快的速度到达目标点。利用广度优先搜索算法,文章详细解析了如何计算从起始位置到目标位置所需的最少回合数。

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坦克大战

时间限制:1000 ms  |  内存限制:65535 KB

难度:3

描述

Many of us had played the game "Battle city" in our childhood, and some people (like me) even often play it on computer now. 
What we are discussing is a simple edition of this game. Given a map that consists of empty spaces, rivers, steel walls and brick walls only. Your task is to get a bonus as soon as possible suppose that no enemies will disturb you (See the following picture). 

 


Your tank can't move through rivers or walls, but it can destroy brick walls by shooting. A brick wall will be turned into empty spaces when you hit it, however, if your shot hit a steel wall, there will be no damage to the wall. In each of your turns, you can choose to move to a neighboring (4 directions, not 8) empty space, or shoot in one of the four directions without a move. The shot will go ahead in that direction, until it go out of the map or hit a wall. If the shot hits a brick wall, the wall will disappear (i.e., in this turn). Well, given the description of a map, the positions of your tank and the target, how many turns will you take at least to arrive there?

输入

The input consists of several test cases. The first line of each test case contains two integers M and N (2 <= M, N <= 300). Each of the following M lines contains N uppercase letters, each of which is one of 'Y' (you), 'T' (target), 'S' (steel wall), 'B' (brick wall), 'R' (river) and 'E' (empty space). Both 'Y' and 'T' appear only once. A test case of M = N = 0 indicates the end of input, and should not be processed.

输出

For each test case, please output the turns you take at least in a separate line. If you can't arrive at the target, output "-1" instead.

样例输入

3 4

YBEB

EERE

SSTE

0 0

样例输出

8

#include <iostream>
#include <queue>
#include <cstdio>
#include <cstring>
using namespace std;
#define  max 301
char map[max][max];//地图大小 
int n,m;
bool vist[max][max];
int d[4][2]={{1,0},{0,1},{-1,0},{0,-1}};//四个方位 

struct point 
{
    int x,y,step;
    friend bool operator <(const point &s1,const point &s2)
    {
        return s1.step>s2.step;
    }
};
point s,e;

int bfs()
{
    priority_queue < point > q;//优先队列 
    memset(vist,0,sizeof(vist));
    point now,t;
    s.step=0;
    q.push(s);
    vist[s.x][s.y]=1;
    while (!q.empty())
    {
        now=q.top();
        q.pop();
        if (now.x==e.x&&now.y==e.y)//坦克就在目的地 
        {
            return now.step;
        }    
        for (int i=0;i<4;i++)
        {
            t.x=now.x+d[i][0];
            t.y=now.y+d[i][1];
            if (t.x>=0&&t.x<n&&t.y>=0&&t.y<m&&!vist[t.x][t.y])
            {        
                vist[t.x][t.y]=1;    
                if (map[t.x][t.y]=='B')
                {
                    t.step=now.step+2;
                    q.push(t);
                }
                else 
                    if (map[t.x][t.y]=='E'||map[t.x][t.y]=='T')
                    {
                        t.step=now.step+1;
                        q.push(t);
                    }
            }
        }
    }
    return -1;
}

int main()
{
    int i,j;
    while (cin>>n>>m,m+n)
    {
        for (i=0;i<n;i++)
        {
            for (j=0;j<m;j++)
            {
                cin>>map[i][j];
                if (map[i][j]=='Y')                  
                    s.x=i,s.y=j; //坦克位置                 
                if (map[i][j]=='T')                  
                    e.x=i,e.y=j;//目的地                  
            }
        }
        int sum=bfs();
     cout<<sum<<endl;
    }
    
    return 0;
}        

  

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