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POJ 3259 Wormholes (最短路)

时间:2015-05-18 22:32:22      阅读:120      评论:0      收藏:0      [点我收藏+]

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Wormholes
Time Limit: 2000MS   Memory Limit: 65536K
Total Submissions: 34302   Accepted: 12520

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.
 
 
 
以每个点为起点跑一次,检测是否有负环。
技术分享
 1 #include <iostream>
 2 #include <cstdio>
 3 using    namespace    std;
 4 
 5 const    int    INF = 0xfffffff;
 6 const    int    SIZE = 5500;
 7 int    D[505];
 8 int    N,M,W,F;
 9 struct    Node
10 {
11     int    from,to,cost;
12 }G[SIZE];
13 
14 bool    Bellman_Ford(int);
15 bool    relax(int,int,int);
16 int    main(void)
17 {
18     scanf("%d",&F);
19     while(F --)
20     {
21         scanf("%d%d%d",&N,&M,&W);
22         int    i = 0;
23         while(i < 2 * M)
24         {
25             scanf("%d%d%d",&G[i].from,&G[i].to,&G[i].cost);
26             i ++;
27             G[i] = G[i - 1];
28             swap(G[i].from,G[i].to);
29             i ++;
30         }
31         while(i < W + M * 2)
32         {
33             scanf("%d%d%d",&G[i].from,&G[i].to,&G[i].cost);
34             G[i].cost = -G[i].cost;
35             i ++;
36         }
37         bool    flag = true;
38         for(int i = 1;i <= N;i ++)
39             if(!Bellman_Ford(i))
40             {
41                 puts("YES");
42                 flag = false;
43                 break;
44             }
45         if(flag)
46             puts("NO");
47     }
48 
49     return    0;
50 }
51 
52 bool    Bellman_Ford(int s)
53 {
54     fill(D,D + 505,INF);
55     D[s] = 0;
56     bool    update;
57 
58     for(int i = 0;i < N - 1;i ++)
59     {
60         update = false;
61         for(int i = 0;i < M * 2 + W;i ++)
62             if(relax(G[i].from,G[i].to,G[i].cost))
63                 update = true;
64         if(!update)
65             break;
66     }
67     for(int i = 0;i < M * 2 + W;i ++)
68         if(relax(G[i].from,G[i].to,G[i].cost))
69             return    false;
70     return    true;
71 }
72 
73 bool    relax(int from,int to,int cost)
74 {
75     if(D[to] > D[from] + cost)
76     {
77         D[to] = D[from] + cost;
78         return    true;
79     }
80     return    false;
81 }
Bellman_Ford

 

POJ 3259 Wormholes (最短路)

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原文地址:http://www.cnblogs.com/xz816111/p/4513056.html

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