Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 34529 | Accepted: 12610 |
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 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 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
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 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.
Source
#include <iostream>
#include <stdio.h>
#include <algorithm>
#include <math.h>
#include <string.h>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <stdlib.h>
#include <vector>
using namespace std;
#define INF 1<<30
struct line
{
int b,e;
int t;
}e[6666];
int minn[1000];
int T,n,m,w,s,en,t,cnt;
bool relax(int p)
{
int sum=minn[e[p].b]+e[p].t;
if(sum<minn[e[p].e])
{
minn[e[p].e]=sum;
return true;
}
return false;
}
bool bellman()
{
for(int i=1;i<=n;i++) minn[i]=INF;
bool flag;
for(int i=1;;i++)
{
if(i>n) return true;
flag=false;
for(int j=1;j<=cnt;j++)
{
if(relax(j)) flag=true;
}
if(!flag) return false;
}
}
int main()
{
cin>>T;
while(T--)
{
cnt=0;
cin>>n>>m>>w;
for(int i=1;i<=m;i++)
{
cin>>s>>en>>t;
cnt++;
e[cnt].b=s;e[cnt].e=en;e[cnt].t=t;
cnt++;
e[cnt].b=en;e[cnt].e=s;e[cnt].t=t;
}
for(int i=1;i<=w;i++)
{
cin>>s>>en>>t;
cnt++;
e[cnt].b=s;e[cnt].e=en;e[cnt].t=-t;
}
if(bellman()) cout<<"YES"<<endl;
else cout<<"NO"<<endl;
}
return 0;
}