HDU 2612 - Find a way - [BFS]

题目连接：http://acm.hdu.edu.cn/showproblem.php?pid=2612

Problem Description
Pass a year learning in Hangzhou, yifenfei arrival hometown Ningbo at finally. Leave Ningbo one year, yifenfei have many people to meet. Especially a good friend Merceki.
Yifenfei’s home is at the countryside, but Merceki’s home is in the center of city. So yifenfei made arrangements with Merceki to meet at a KFC. There are many KFC in Ningbo, they want to choose one that let the total time to it be most smallest.
Now give you a Ningbo map, Both yifenfei and Merceki can move up, down ,left, right to the adjacent road by cost 11 minutes.

Input
The input contains multiple test cases.
Each test case include, first two integers n, m. (2<=n,m<=200).
Next n lines, each line included m character.
‘Y’ express yifenfei initial position.
‘M’ express Merceki initial position.
‘#’ forbid road;
‘.’ Road.
‘@’ KCF

Output
For each test case output the minimum total time that both yifenfei and Merceki to arrival one of KFC.You may sure there is always have a KFC that can let them meet.

Sample Input
4 4
Y.#@
....
.#..
@..M
4 4
Y.#@
....
.#..
@#.M
5 5
Y..@.
.#...
.#...
@..M.
#...#

Sample Output
66
88
66

 

题意：

两人分别从 "Y" 和 "M" 出发，在地图上走，要找一个 "@" 碰头，每走一格花费时间 $11$ 分钟，求最短的碰头时间。

 

题解：

以两我的分别为起点作BFS，求出两人到每家KFC的各自花费的时间。

对所有KFC维护两人到达时间之和的最小值即为答案。

 

AC代码：

#include<bits/stdc++.h>
using namespace std;
typedef pair<int,int> pii;
const int MAX=205;
const int dx[4]={0,1,0,-1};
const int dy[4]={1,0,-1,0};
int n,m;
char mp[MAX][MAX];
pii Y,M;
int KFCcnt;
map<pii,int> KFC;
int Time[2][MAX*MAX];

queue<pii> Q;
int d[MAX][MAX];
void bfs(pii st,int t)
{
    memset(Time[t],0x3f,sizeof(Time[t]));
    memset(d,-1,sizeof(d));
    Q.push(st); d[st.first][st.second]=0;
    while(!Q.empty())
    {
        pii now=Q.front(); Q.pop();
        if(mp[now.first][now.second]=='@')
            Time[t][KFC[now]]=d[now.first][now.second];
        for(int k=0;k<4;k++)
        {
            pii nxt=now; nxt.first+=dx[k], nxt.second+=dy[k];
            if(mp[nxt.first][nxt.second]=='#') continue;
            if(~d[nxt.first][nxt.second]) continue;
            Q.push(nxt);
            d[nxt.first][nxt.second]=d[now.first][now.second]+11;
        }
    }
}
int main()
{
    for(int i=0;i<MAX;i++) mp[i][0]=mp[0][i]='#';
    while(cin>>n>>m)
    {
        KFCcnt=0; KFC.clear();
        for(int i=1;i<=n;i++)
        {
            scanf("%s",mp[i]+1), mp[i][m+1]='#';
            for(int j=1;j<=m;j++)
            {
                if(mp[i][j]=='@') KFC[make_pair(i,j)]=++KFCcnt;
                if(mp[i][j]=='Y') Y=make_pair(i,j);
                if(mp[i][j]=='M') M=make_pair(i,j);
            }
        }
        for(int j=0;j<=m+1;j++) mp[n+1][j]='#';

        bfs(Y,0);
        bfs(M,1);
        int res=0x3f3f3f3f;
        for(int i=1;i<=KFCcnt;i++) res=min(res,Time[0][i]+Time[1][i]);
        printf("%d\n",res);
    }
}