Find a way(两路广搜)

本文介绍了一种算法,用于计算两个角色从各自初始位置出发,共同到达宁波市区内某KFC所需最短总时间的问题。地图由字符构成,包含禁止通行区域及多个目标地点。通过广度优先搜索算法(BFS)预计算每个角色到所有目标地点的距离,并最终找到总时间最短的会面地点。

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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
 
Author
yifenfei
 
Source
奋斗的年代
 
Recommend
yifenfei
 

上述每人只需要搜一次并记录下到每一个@的步数和,最后一比较就好了!

代码:

#include<bits/stdc++.h>
using namespace std;
const int maxn=202;
const int INF=0x3f3f3f3f;
char map1[maxn][maxn],vis[maxn][maxn];
int dis[maxn][maxn][2];                   //记录下来每个@所走的步数,其中第三位代表的是哪个人在走
int n,m,flag;
struct node
{
    int x,y,step;
};
bool judge(int x,int y)
{
    if(x>=0&&x<n&&y>=0&&y<m&&!vis[x][y]&&map1[x][y]!='#')
        return 1;
    return 0;
}
int dxy[][2]= {0,1,0,-1,1,0,-1,0};
void bfs(int x,int y)
{
    node now,next;
    queue<node>q;
    now.x=x,now.y=y,now.step=0;
    q.push(now);
    vis[x][y]=1;
    while(!q.empty())
    {
        now=q.front();
        if(map1[now.x][now.y]=='@')                 //遇到@就记录下来走了多少步
            dis[now.x][now.y][flag]=now.step;
        for(int i=0; i<4; i++)
        {
            int xx=now.x+dxy[i][0],yy=now.y+dxy[i][1];
            if(judge(xx,yy))
            {
                vis[xx][yy]=1;
                next.x=xx,next.y=yy,next.step=now.step+1;
                q.push(next);
            }
        }
        q.pop();
    }
}
int main()
{
	ios::sync_with_stdio(false);
    while(cin>>n>>m)
    {
        int i,j,s=INF;
        for(i=0; i<n; i++)
            for(j=0; j<m; j++)
                dis[i][j][0]=dis[i][j][1]=INF;  //有的@可能是无法到达的,所以用无穷大初始化!
        for(i=0; i<n; i++)
           cin>>map1[i];
        for(i=0; i<n; i++)
            for(j=0; j<m; j++)
            {
                if(map1[i][j]=='Y')
                {
                    flag=0;
                    memset(vis,0,sizeof(vis));
                    bfs(i,j);
                }
                if(map1[i][j]=='M')
                {
                    flag=1;
                    memset(vis,0,sizeof(vis));
                    bfs(i,j);
                }
            }
        for(i=0; i<n; i++)
            for(j=0; j<m; j++)
            {
                if(map1[i][j]=='@'&&s>dis[i][j][0]+dis[i][j][1])    //求最小的步数,相比较
                    s=dis[i][j][0]+dis[i][j][1];
            }
       cout<<s*11<<endl;
    }
    return 0;
}


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