Wormholes
| Time limit:2000 ms |
|
Memory limit:65536 K |
| Total submissions:31593 |
|
Accepted:11497 |
Description
While processing his own 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 comprisesN(1 ≤N≤ 500) fields conveniently numbered 1 ..N,M(1 ≤M≤ 2500) paths, andW(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 mapsF(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.
FFarm 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
SAnd
EThat requires
TSeconds 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
STo
EThat also moves the traveler back
TSeconds.
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
23 3 11 2 21 3 42 3 13 1 33 2 11 2 32 3 43 1 8
Sample output
NOYES
Hint
For Farm 1, FJ cannot travel back in time.
For Farm 2, FJ cocould travel back in time by the cycle 1-> 2-> 3-> 1, arriving back at his starting location 1 second before he leaves. he cocould start from anywhere on the cycle to accomplish this.
#include <stdio.h>#include <stdlib.h>#include <malloc.h>#include <limits.h>#include <ctype.h>#include <string.h>#include <string>#include <math.h>#include <algorithm>#include <iostream>#include <queue>#include <stack>#include <deque>#include <vector>#include <set>//#include <map>using namespace std;const int VM = 520;const int EM = 5020;const int INF = 0x3f3f3f3f;//const int INF = 0x3f3f3f3f;struct Edge{ int u,v; int w;}edge[EM<<1];int N,M,W,cnt,dis[VM];void addage(int cu,int cv,int cw){ edge[cnt].u = cu; edge[cnt].v = cv; edge[cnt].w = cw; cnt++;}int Bellman(){ int i,j,flag; for(i=0;i<N;i++){ dis[i] = INF; } for(i=1;i<N;i++){ flag = 1; for(j=0;j<cnt;j++){ if(dis[edge[j].u] > dis[edge[j].v]+edge[j].w){ dis[edge[j].u] = dis[edge[j].v]+edge[j].w; flag = 0; } } if(flag){ break; } } for(i=0;i<cnt;i++){ if(dis[edge[i].u] > dis[edge[i].v]+edge[i].w){ return 1; } } return 0;}int main(){ int t; int i; while(~scanf("%d",&t)){ while(t--){ scanf("%d%d%d",&N,&M,&W); cnt = 0; int u,v,w; for(i=0;i<M;i++){ scanf("%d%d%d",&u,&v,&w); addage(u,v,w); addage(v,u,w); } for(i=0;i<W;i++){ scanf("%d%d%d",&u,&v,&w); addage(u,v,-w); } if(Bellman()){ printf("YES\n"); } else{ printf("NO\n"); } } } return 0;}
Bellman algorithm PKU 3259