POJ 3259 Wormholes
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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
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 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.
#include <stdio.h>#include <string.h>#include <math.h>#include <stdlib.h>#include <ctype.h>#include <iostream>#include <algorithm>#include <map>#include <string>#include <vector>using namespace std;#define Cmp(a,b) strcmp(a,b)#define Copy(a,b) strcpy(a,b)#define Len(a) strlen(a)#define sn getchar()#define fr(a) for(int i=0;i<a;i++)#define fn(a) for(int i=1;i<=a;i++)#define f1(a) for(int i=1;i<a;i++)#define pn cout<<endl#define pc(a) printf("Case %d:",a)#define pr cout<<" "#define MEM(a) memset(a,0,sizeof(a))#define MEMF(a) memset(a,false,sizeof(a))#define w1 while(1)#define w(a) while(a--)#define INF 4294967295#define PI 3.14159265359const int dir4[4][2]= {{-1,0},{1,0},{0,-1},{0,1}};const int dir8[8][2]= {{-1,0},{1,0},{0,-1},{0,1},{-1,1},{1,-1},{-1,-1},{1,1}};/***********************************************/struct node{ int a,b,w;} Map[10001];int BF(int n,int s,int k){ int d[20002]; for(int i=1; i<=n; i++) d[i]=INF; d[s]=0; for(int i=1; i<n; i++) { for(int j=0; j<k; j++) { int a=Map[j].a; int b=Map[j].b; int w=Map[j].w; if(d[b]>d[a]+w) d[b]=d[a]+w; } } for(int j=0; j<k; j++) { int a=Map[j].a; int b=Map[j].b; int w=Map[j].w; if(d[b]>d[a]+w) return 1; } return 0;}int main(){ int n,m,w; int a,b,c; int T; cin>>T; while(T--) { MEM(Map); cin>>n>>m>>w; int k=0; fr(m) { cin>>a>>b>>c; Map[k].a=a; Map[k].b=b; Map[k++].w=c; Map[k].a=b; Map[k].b=a; Map[k++].w=c; } fr(w) { cin>>a>>b>>c; Map[k].a=a; Map[k].b=b; Map[k++].w=-c; } int ans=BF(n,1,k); if(ans) cout<<"YES"<<endl; else cout<<"NO"<<endl; } return 0;}
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