几天没有AC了..实在手痒啊,上题。
Wormholes
Time Limit: 2000MS Memory Limit: 65536K Total Submissions: 41416 Accepted: 15226 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: 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 8Sample Output
NO YESHint
For farm 1, FJ cannot travel back in time.
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
- 正权道路是双向的;
- 负权道路是单向的;
- 题目的数据范围貌似小了;
- 初始化...(大神请无视)
一开始WA了几次,看了discuss说要判连通,到了最后发现其实并不用...
O(nke)做法吧貌似,不太会算..
贴上代码。
/* Source Code Problem: 3259 User: aclolicon Memory: 596K Time: 1766MS Language: C++ Result: Accepted Source Code */ #include#include #define MAXN 40000 #define INF 0x3f3f3f3f using namespace std; struct Edge{ int to; int next; int w; }edge[MAXN]; int head[MAXN]; int cnt = 0; int n, m, w; void add(int s, int e, int t){ edge[cnt].w = t; edge[cnt].to = e; edge[cnt].next = head[s]; head[s] = cnt++; } bool spfa(int s){ queue q; q.push(s); int cc[MAXN], dis[MAXN]; bool vis[MAXN]; for (int i = 0; i < n + 1; i++){ cc[i] = 0; dis[i] = INF; vis[i] = 0; } dis[s] = 0; bool flag = 0; while(!q.empty()){ int x = q.front(); q.pop(); vis[x] = 0; for (int i = head[x]; i != -1 && !flag; i = edge[i].next){ int to = edge[i].to; if (dis[x] + edge[i].w < dis[to]){ dis[to] = dis[x] + edge[i].w; if (!vis[to]){ vis[to] = 1; q.push(to); cc[to]++; if (cc[to] >= n){ flag = 1; break; } } } } if (flag) break; } if (flag) return 0; return 1; } void init(){ for (int i = 0; i < n + 1; i++){ edge[i].to = -1; edge[i].w = 0; edge[i].next = -1; head[i] = -1; } } void solve(){ bool flag = 0; cnt = 0; int s, e, t; for (int i = 0; i < m; i++){ scanf("%d%d%d", &s, &e, &t); add(s, e, t); add(e, s, t); } for (int i = 0; i < w; i++){ scanf("%d%d%d", &s, &e, &t); add(s, e, -t); } for (int i = 1; i <= n; i++){ if (!spfa(i)) { flag = 1; break; } } if (flag) printf("YESn"); else printf("NOn"); } int main(){ int f; scanf("%d", &f); while(f--) { scanf("%d%d%d", &n, &m, &w); init(); solve(); } return 0; }
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