F
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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 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, 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
题解:
Bellman-Ford判负环。
很好玩的虫洞问题。
代码:
#include <iostream>#include <cstdio>#include <cstring>#include <algorithm>#include <vector>using namespace std;const int INF = 0x3f3f3f3f;const int maxn = 550;int dist[maxn];struct Edge{ int u; int v; int cost; Edge(int _u,int _v,int _cost):u(_u),v(_v),cost(_cost){}};vector<Edge> E;bool BellmanFord(int start,int n){ memset(dist,0x3f,sizeof(dist)); dist[start]=0; for(int i=1;i<n;i++) { bool flag = false; for(int j=0;j<E.size();j++) { int u = E[j].u; int v = E[j].v; int cost = E[j].cost; if(dist[v]>dist[u]+cost) { dist[v] = dist[u]+cost; flag = true; } } if(!flag) return true; } for(int j=0;j<E.size();j++) { if(dist[E[j].v]>dist[E[j].u]+E[j].cost) { return false; } } return true;}int main(){ int T; scanf("%d",&T); int N,M,W; while(T--) { scanf("%d%d%d",&N,&M,&W); int u,v,t; for(int i=1;i<=M;i++) { scanf("%d%d%d",&u,&v,&t); E.push_back(Edge(u,v,t)); E.push_back(Edge(v,u,t)); } for(int i=1;i<=W;i++) { scanf("%d%d%d",&u,&v,&t); E.push_back(Edge(u,v,-t)); } bool flag = BellmanFord(1,N); if(flag) cout<<"NO"<<endl; else cout<<"YES"<<endl; E.clear(); } return 0;}