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  • Wormholes 和上题一样,不过这道题 求负环,代码稍微变一下就行

    Problem 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
    ***************************************************************************************************************************
    bellman_ford算法求负环
    ***************************************************************************************************************************
     1 #include<iostream>
     2 #include<string>
     3 #include<cstring>
     4 #include<cmath>
     5 #include<cstdio>
     6 #include<queue>
     7 using namespace std;
     8 double dis[10001];
     9 int n,m,u,v;
    10 int r;
    11 struct edge
    12 {
    13     int u,v;
    14     int r;
    15 }e[1000001];
    16 int i,j,k,s;
    17 void bellman_ford()
    18 {
    19     //cout<<"M: "<<m<<endl;
    20     for(int it=0;it<=n;it++)
    21       dis[it]=0.0;
    22     for(int it=1;it<n;it++)//松弛n-1次
    23     {
    24         int flag=1;
    25         for(int jt=0;jt<m;jt++)
    26         {
    27             int u=e[jt].u;
    28             int v=e[jt].v;
    29             int r=e[jt].r;
    30 
    31           if(dis[v]>dis[u]+r)
    32           {
    33             dis[v]=dis[u]+r;
    34             flag=0;
    35           }
    36           //cout<<"dis["<<v<<"]: "<<dis[v]<<endl;
    37         }
    38         if(flag==1)  //找不到要松弛的提前返回
    39         {
    40             puts("NO");
    41             return;
    42         }
    43     }
    44     for(int it=0;it<m;it++)//找是否存在正环
    45       if(dis[e[it].v]>dis[e[it].u]+e[it].r)
    46        {
    47            puts("YES");
    48            return;
    49        }
    50     puts("NO");
    51 }
    52 int main()
    53 {
    54     int cas;
    55     scanf("%d",&cas);
    56     while(cas--)
    57     {
    58       k=0;
    59       scanf("%d%d%d",&n,&m,&s);
    60       for(i=1;i<=m;i++)
    61       {
    62           scanf("%d%d%d",&u,&v,&r);
    63           e[k].u=u;
    64           e[k].v=v;
    65           e[k++].r=r;
    66           e[k].u=v;
    67           e[k].v=u;
    68           e[k++].r=r;
    69       }
    70       for(i=1;i<=s;i++)
    71       {
    72           scanf("%d%d%d",&u,&v,&r);
    73           e[k].u=u;
    74           e[k].v=v;
    75           e[k++].r=-r;
    76       }
    77       m=k;
    78       bellman_ford();
    79     }
    80     return 0;
    81 }
    View Code

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  • 原文地址:https://www.cnblogs.com/sdau--codeants/p/3378075.html
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