POJ 3259Wormholes
2015-08-10 14:33
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DescriptionWhile 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. InputLine 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 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 S to E that also moves the traveler back T seconds.OutputLines 1.. F: For each farm, output "YES" if FJ can achieve his goal, otherwise output "NO" (do not include the quotes).Sample Input[code]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 OutputNO
YES[/code]HintFor 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.
题意:存在两种路,一种双向耗时,另一种单向能返回过去,用dist正负表示权值,BF不废话。
#include <cstdio> #include <cstring> #include <algorithm> #include <vector> using namespace std; const int N = 600; int n, m, w; int d[N]; struct Edge { int from, to, dist; }; vector<Edge> edges; void addEdge(int from, int to, int dist) { edges.push_back((Edge){from, to, dist}); } void input() { scanf("%d %d %d", &n, &m, &w); int a, b, c; for (int i = 0; i < m; i++) { scanf("%d %d %d", &a, &b, &c); addEdge(a, b, c); addEdge(b, a, c); } for (int i = 0; i < w; i++) { scanf("%d %d %d", &a, &b, &c); addEdge(a, b, -c); } } bool BF() { memset(d, 0, sizeof(d)); int a, b; for (int i = 0; i < n; i++) { for (int j = 0; j < edges.size(); j++) { a = edges[j].from, b = edges[j].to; if (d[b] > d[a] + edges[j].dist) { d[b] = d[a] + edges[j].dist; if(i == n-1) return true; } } } return false; } int main() { int T; scanf("%d", &T); while (T--) { edges.clear(); input(); if ( BF() ) printf("YES\n"); else printf("NO\n"); } return 0; }
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