• POJ3259 Wormholes(SPFA判断负环)


    Description

    While exploring his many farms, Farmer John has discovered a number of amazing wormholes. A wormhole is very peculiar because it is a one-way path that delivers you to its destination at a time that is BEFORE you entered the wormhole! Each of FJ's farms comprises N (1 ≤ N ≤ 500) fields conveniently numbered 1..NM (1 ≤ M ≤ 2500) paths, and W (1 ≤ W ≤ 200) wormholes.

    As FJ is an avid time-traveling fan, he wants to do the following: start at some field, travel through some paths and wormholes, and return to the starting field a time before his initial departure. Perhaps he will be able to meet himself :) .

    To help FJ find out whether this is possible or not, he will supply you with complete maps to F (1 ≤ F ≤ 5) of his farms. No paths will take longer than 10,000 seconds to travel and no wormhole can bring FJ back in time by more than 10,000 seconds.

    Input

    Line 1: A single integer, FF farm descriptions follow. 
    Line 1 of each farm: Three space-separated integers respectively: NM, and W 
    Lines 2..M+1 of each farm: Three space-separated numbers (SET) that describe, respectively: a bidirectional path between S and E that requires T seconds to traverse. Two fields might be connected by more than one path. 
    Lines M+2..M+W+1 of each farm: Three space-separated numbers (SET) that describe, respectively: A one way path from S to E that also moves the traveler back T seconds.

    Output

    Lines 1..F: For each farm, output "YES" if FJ can achieve his goal, otherwise output "NO" (do not include the quotes).

    Sample Input

    2
    3 3 1
    1 2 2
    1 3 4
    2 3 1
    3 1 3
    3 2 1
    1 2 3
    2 3 4
    3 1 8

    Sample Output

    NO
    YES

    Hint

    For farm 1, FJ cannot travel back in time. 
    For farm 2, FJ could travel back in time by the cycle 1->2->3->1, arriving back at his starting location 1 second before he leaves. He could start from anywhere on the cycle to accomplish this.
    题意:农夫约翰沉迷于守望屁股,现在他的农场里有一些双向道路和单向虫洞,穿过一条道路需要Ti的时间,进入虫洞则可以带你回到Ti时间之前,请问约翰是否可以在他出发之前回到他出发的农场(默认从1出发???),守望到他的屁股?
    题解:很明显的一道spfa判负环
    然后也没什么好说的了,WA到哭只因忘清空vector
    代码如下:
    #include<queue>
    #include<vector>
    #include<cstdio>
    #include<cstring>
    #include<iostream>
    #include<algorithm>
    #define inf 0x3f3f3f3f
    using namespace std;
    
    vector< pair<int,int> > g[20000];
    int d[20000],vis[20000],cnt[20000];
    int ttt,n,m,w;
    
    int spfa()
    {
        memset(vis,0,sizeof(vis));
        memset(cnt,0,sizeof(cnt));
        d[1]=0;
        queue<int> q;
        q.push(1);
        cnt[1]++;
        vis[1]=1;
        while(!q.empty())
        {
            int x=q.front();    
            vis[x]=0;
            q.pop();
            int sz=g[x].size();
            for(int i=0; i<sz; i++)
            {
                int y=g[x][i].first;
                int w=g[x][i].second;
                if(d[x]+w<d[y])
                {
                    d[y]=d[x]+w;
                    if(!vis[y])
                    {
                        q.push(y);
                        vis[y]=1;
                        cnt[y]++;
                        if(cnt[y]>n)
                        {
                            return 1;
                        }
                    }
                }
            }
        }
        return 0;
    }
    
    int main()
    {
        scanf("%d",&ttt);
        while(ttt--)
        {
            scanf("%d%d%d",&n,&m,&w);
            for(int i=1;i<=n;i++)
            {
                g[i].clear();
            }
            for(int i=1; i<=m; i++)
            {
                int f,t,c;
                scanf("%d%d%d",&f,&t,&c);
                g[f].push_back(make_pair(t,c));
                g[t].push_back(make_pair(f,c));
            }
            for(int i=1; i<=w; i++)
            {
                int f,t,c;
                scanf("%d%d%d",&f,&t,&c);
                g[f].push_back(make_pair(t,-c));
            }
            for(int i=1; i<=n; i++)
            {
                d[i]=inf;
            }
            int ans=spfa();
            if(ans)
            {
                printf("YES
    ");
            }
            else
            {
                printf("NO
    ");
            }
        }
    }
     
     
     
     
     
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  • 原文地址:https://www.cnblogs.com/stxy-ferryman/p/8439343.html
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