Wormholes 虫洞 BZOJ 1715 spfa判断负环
John在他的农场中闲逛时发现了许多虫洞。虫洞可以看作一条十分奇特的有向边,并可以使你返回到过去的一个时刻(相对你进入虫洞之前)。John的每个农场有M条小路(无向边)连接着N (从1..N标号)块地,并有W个虫洞。其中1<=N<=500,1<=M<=2500,1<=W<=200。 现在John想借助这些虫洞来回到过去(出发时刻之前),请你告诉他能办到吗。 John将向你提供F(1<=F<=5)个农场的地图。没有小路会耗费你超过10000秒的时间,当然也没有虫洞回帮你回到超过10000秒以前。
NO YESSample Output
Input
* Line 1: 一个整数 F, 表示农场个数。
* Line 1 of each farm: 三个整数 N, M, W。
* Lines 2..M+1 of each farm: 三个数(S, E, T)。表示在标号为S的地与标号为E的地中间有一条用时T秒的小路。
* Lines M+2..M+W+1 of each farm: 三个数(S, E, T)。表示在标号为S的地与标号为E的地中间有一条可以使John到达T秒前的虫洞。
Output* Lines 1..F: 如果John能在这个农场实现他的目标,输出"YES",否则输出"NO"。
Sample Input2 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#include<iostream> #include<cstdio> #include<algorithm> #include<cstdlib> #include<cstring> #include<string> #include<cmath> #include<map> #include<set> #include<vector> #include<queue> #include<bitset> #include<ctime> #include<deque> #include<stack> #include<functional> #include<sstream> //#include<cctype> //#pragma GCC optimize(2) using namespace std; #define maxn 200005 #define inf 0x7fffffff //#define INF 1e18 #define rdint(x) scanf("%d",&x) #define rdllt(x) scanf("%lld",&x) #define rdult(x) scanf("%lu",&x) #define rdlf(x) scanf("%lf",&x) #define rdstr(x) scanf("%s",x) typedef long long ll; typedef unsigned long long ull; typedef unsigned int U; #define ms(x) memset((x),0,sizeof(x)) const long long int mod = 1e9; #define Mod 1000000000 #define sq(x) (x)*(x) #define eps 1e-5 typedef pair<int, int> pii; #define pi acos(-1.0) //const int N = 1005; #define REP(i,n) for(int i=0;i<(n);i++) typedef pair<int, int> pii; inline int rd() { int x = 0; char c = getchar(); bool f = false; while (!isdigit(c)) { if (c == '-') f = true; c = getchar(); } while (isdigit(c)) { x = (x << 1) + (x << 3) + (c ^ 48); c = getchar(); } return f ? -x : x; } ll gcd(ll a, ll b) { return b == 0 ? a : gcd(b, a%b); } int sqr(int x) { return x * x; } /*ll ans; ll exgcd(ll a, ll b, ll &x, ll &y) { if (!b) { x = 1; y = 0; return a; } ans = exgcd(b, a%b, x, y); ll t = x; x = y; y = t - a / b * y; return ans; } */ int T; int n, m, W; struct node { int u, v, w, nxt; }e[maxn]; int head[maxn], tot; int dis[maxn]; void addedge(int u, int v, int w) { e[++tot].u = u; e[tot].v = v; e[tot].w = w; e[tot].nxt = head[u]; head[u] = tot; } int num[maxn]; bool vis[maxn]; bool spfa() { queue<int>q; q.push(1); vis[1] = 1; dis[1] = 0; num[1] = 1; while (!q.empty()) { int u = q.front(); q.pop(); vis[u] = 0; for (int i = head[u]; i; i = e[i].nxt) { int v = e[i].v; int w = e[i].w; if (dis[v] > dis[u] + w) { dis[v] = dis[u] + w; if (!vis[v]) { q.push(v); vis[v] = 1; num[v]++; if (num[v] > n)return false; } } } } return true; } int main() { //ios::sync_with_stdio(0); T = rd(); while (T--) { n = rd(); m = rd(); W = rd(); for (int i = 1; i <= n; i++)dis[i] = inf; ms(head); tot = 0; ms(vis); ms(e); ms(num); for (int i = 1; i <= m; i++) { int u, v, w; u = rd(); v = rd(); w = rd(); addedge(u, v, w); addedge(v, u, w); } for (int i = 1; i <= W; i++) { int u, v, t; u = rd(); v = rd(); t = rd(); addedge(u, v, -t); } if (spfa()) { cout << "NO" << endl; } else cout << "YES" << endl; } return 0; }
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