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POJ 3259 虫洞旅行 spfa判负环
Time Limit: 2000MS | Memory Limit: 65536K | |
Total Submissions: 31425 | Accepted: 11431 |
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
题目意思:
john有n块农场(用1--n表示),农场之间有m条路径,每条路径有个权值为经过这条路径花费的时间,路径是双向的,农场中有w个虫洞(看过时间简史就知道了),虫洞表示为a,b,t即为从a农场到b农场花费 -t 时间(虫洞是单向的)。问john从某个农场出发再次回到该农场时时间是否是出发之前(有点绕嘴。。就是john从一个农场出发绕了一大圈再次回到农场时,此时的时间为出发之前即回到了过去)。
思路:
判断负环即可。
代码:
1 #include <cstdio> 2 #include <cstring> 3 #include <algorithm> 4 #include <iostream> 5 #include <vector> 6 #include <queue> 7 using namespace std; 8 9 #define N 50510 #define inf 99999999911 12 struct node{13 int y, t;14 };15 16 int dis[N];17 int visited[N];18 int num[N];19 vector<node>ve[N];20 int n, m, w;21 22 void init(){23 int i;24 for(i=0;i<=n;i++){25 ve[i].clear();26 dis[i]=inf;27 }28 memset(visited,0,sizeof(visited));29 memset(num,0,sizeof(num));30 }31 32 int SPFA(int st){33 34 int i, j, u;35 node p, q;36 queue<int>Q;37 Q.push(st);38 dis[st]=0;39 visited[st]=1;40 while(!Q.empty()){41 u=Q.front();42 Q.pop();43 visited[u]=0;44 for(i=0;i<ve[u].size();i++){45 p=ve[u][i];46 if(dis[p.y]>dis[u]+p.t){47 dis[p.y]=dis[u]+p.t;48 if(!visited[p.y]){49 visited[p.y]=1;50 Q.push(p.y);51 }52 num[p.y]++;53 if(num[p.y]>=n) return 1;54 }55 }56 }57 return 0;58 }59 60 main()61 {62 int i, j, k, t;63 int x, y, z;64 cin>>t;65 while(t--){66 scanf("%d %d %d",&n,&m,&w);67 init();68 node p;69 for(i=0;i<m;i++){70 scanf("%d %d %d",&x,&y,&z);71 p.y=y;p.t=z;72 ve[x].push_back(p);73 p.y=x;;74 ve[y].push_back(p);75 }76 for(i=0;i<w;i++){77 scanf("%d %d %d",&x,&y,&z);78 p.y=y;p.t=-z;79 ve[x].push_back(p);80 }81 if(SPFA(1))82 printf("YES\n");83 else printf("NO\n");84 }85 }
POJ 3259 虫洞旅行 spfa判负环