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CF Gym 100187E Two Labyrinths

时间:2015-07-19 13:16:50      阅读:106      评论:0      收藏:0      [点我收藏+]

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题意:问两个迷宫是否存在公共最短路。

题解:两个反向bfs建立层次图,一遍正向bfs寻找公共最短路

#include<cstdio>
#include<cstring>
#include<queue>
using namespace std;
const int maxn = 500+1;

int d1[maxn][maxn];
int d2[maxn][maxn];

char g1[maxn][maxn];
char g2[maxn][maxn];

int n,m;
struct node{
    int x,y;
    node(int X = 0, int Y = 0){
        x = X; y = Y;
    }
};

int dx[] = {1,-1,0,0};
int dy[] = {0,0,1,-1};
//1,1
void rbfs(int id)
{
    char (*G)[maxn];
    int (*vis)[maxn];
    if(id == 1) G = g1, vis = d1;
    else G = g2, vis = d2;
    memset(vis,-1,sizeof(d1));
    queue<node>q;
    node u(n-1,m-1);
    q.push(u);
    vis[u.x][u.y] = 0;
    while(q.size()){
        u = q.front();q.pop();
        if(u.x == 0 && u.y == 0) return;
        for(int i = 0; i < 4; i++){
            int nx = u.x + dx[i], ny = u.y + dy[i];
            if(nx>=0&&nx<n&&ny>=0&&ny<m&&G[nx][ny]!=#&&!~vis[nx][ny]){
                vis[nx][ny] = vis[u.x][u.y]+1;
                q.push(node(nx,ny));
            }
        }
    }
}
bool vis[maxn][maxn];

bool bfs()
{
    if(d1[0][0] != d2[0][0] )return false;
    memset(vis,0,sizeof(vis));
    queue<node>q;
    q.push(node(0,0));
    int tx = n-1, ty = m-1;
    while(q.size()){
        node &u = q.front();
        if(u.x == tx && u.y == ty) return true;
        for(int i = 0; i < 4; i++){
            int nx = u.x + dx[i], ny = u.y + dy[i];
            if(nx>=0&&nx<n&&ny>=0&&ny<m&&
               d1[nx][ny] == d1[u.x][u.y] - 1 && d2[nx][ny] == d2[u.x][u.y] - 1 && !vis[nx][ny]){
                vis[nx][ny] = 1;
                q.push(node(nx,ny));
            }
        }
        q.pop();
    }
    return false;
}

int main()
{
   // freopen("in.txt","r",stdin);
    scanf("%d%d",&n,&m);
    for(int i = 0; i < n; i++)
        scanf("%s",g1[i]);
     for(int i = 0; i < n; i++)
        scanf("%s",g2[i]);
    rbfs(1);
    rbfs(2);
    printf("%s\n",bfs()?"YES":"NO");
    return 0;
}

 

CF Gym 100187E Two Labyrinths

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原文地址:http://www.cnblogs.com/jerryRey/p/4658378.html

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