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  • poj3259

    Wormholes
    Time Limit: 2000MS   Memory Limit: 65536K
    Total Submissions: 24864   Accepted: 8869

    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..N,M (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 toF (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, F. F farm descriptions follow.
    Line 1 of each farm: Three space-separated integers respectively: N, M, and W
    Lines 2.. M+1 of each farm: Three space-separated numbers ( S, E, T) 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 ( S, E, T) 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
    #include<iostream>
    #include<stdio.h>
    using namespace std;
    const int fMax = 505;
    const int eMax = 5205;
    const int wMax = 99999;
    struct{
        int sta, end, time;
    }edge[eMax];
    int point_num, edge_num, dict[fMax];
    bool bellman_ford()
    {
        int i, j;
        for(i = 2; i <= point_num; i ++)
            dict[i] = wMax;//初始化
        for(i = 1; i < point_num; i ++)//点要减1
    	{
            bool finish = true;    //  加个全部完成松弛的判断,优化了50多MS。 
            for(j = 1; j <= edge_num; j ++)
    		{
                int u = edge[j].sta;
                int v = edge[j].end;
                int w = edge[j].time;
                if(dict[v] > dict[u] + w)
    			{   //  松弛。
                    dict[v] = dict[u] + w;
                    finish = false;
                }
            }
            if(finish)  break;
        }
        for(i = 1; i <= edge_num; i ++)
    	{   //  是否存在负环的判断。
            int u = edge[i].sta;
            int v = edge[i].end;
            int w = edge[i].time;
            if(dict[v] > dict[u] + w) 
    			
                return false;
        }
        return true;
    }
    int main()
    {
        int farm;
        scanf("%d", &farm);
        while(farm --)
    	{
            int field, path, hole;
            scanf("%d %d %d", &field, &path, &hole);
            int s, e, t, i, k = 0;
            for(i = 1; i <= path; i ++)
    		{
                scanf("%d %d %d", &s, &e, &t);  //  用scanf代替了cin,优化了100多MS。
                k ++;
                edge[k].sta = s;
                edge[k].end = e;
                edge[k].time = t;
                k ++;
                edge[k].sta = e;
                edge[k].end = s;
                edge[k].time = t;
            }
            for(i = 1; i <= hole; i ++)
    		{
                scanf("%d %d %d", &s, &e, &t);
                k ++;
                edge[k].sta = s;
                edge[k].end = e;
                edge[k].time = -t;
            }
            point_num = field;
            edge_num = k;
            if(!bellman_ford())  
    			printf("YES
    ");
            else  printf("NO
    ");
    		for(i=0;i<=point_num;i++)
    			printf("%d  ",dict[i]);
        }
        return 0;
    }


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  • 原文地址:https://www.cnblogs.com/riskyer/p/3225904.html
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