12.spfa算法判断有无负环
#include<queue>
#include<cstring>
#include<iostream>
#include<algorithm>
using namespace std;
const int N = 100010;
int n, m;
int h[N], w[N], e[N], ne[N], idx;
int dist[N], cnt[N];
bool st[N];
void add(int a, int b, int c) {
e[idx] = b, w[idx] = c, ne[idx] = h[a], h[a] = idx ++;
}
int spfa() {
queue<int> q;
for(int i = 1; i <= n; i ++) {
st[i] = true;
q.push(i);
}
while(q.size()) {
int t = q.front();
q.pop();
st[t] = false;
for(int i = h[t]; i != -1; i = ne[i]) {
int j = e[i];
if(dist[j] > dist[t] + w[i]) {
dist[j] = dist[t] + w[i];
cnt[j] = cnt[t] + 1;
if(cnt[j] >= n) return true;
if(!st[j]) {
q.push(j);
st[j] = true;
}
}
}
}
return false;
}
int main() {
cin >> n >> m;
memset(h, -1, sizeof h);
while(m --) {
int a, b, c;
cin >> a >> b >> c;
add(a, b, c);
}
if(spfa()) puts("Yes");
else puts("No");
return 0;
}