#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; constexpr int INF = 1001001001; constexpr int mod = 1000000007; // constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } struct StronglyConnectedComponents{ using G = vector>; G graph; G rev; int n; int scc_sz = 0; G scc_graph; vector scc_id; vector vs; vector visited; StronglyConnectedComponents() = default; StronglyConnectedComponents(int V) : n(V) { graph.resize(n); rev.resize(n); scc_id.assign(n, -1); visited.assign(n, false); } StronglyConnectedComponents(G& g) : graph(g), n(g.size()) { rev.resize(n); scc_id.assign(n, -1); visited.assign(n, false); for(int u = 0; u < n; ++u){ for(int v : graph[u]) rev[v].push_back(u); } } void resize(int V){ n = V; graph.resize(n); rev.resize(n); scc_id.assign(n, -1); visited.assign(n, false); } void add_edge(int u, int v){ graph[u].emplace_back(v); rev[v].emplace_back(u); } void dfs(int from){ visited[from] = true; for(int to : graph[from]){ if(!visited[to]) dfs(to); } vs.push_back(from); } void rdfs(int from, int k){ scc_id[from] = k; for(int to : rev[from]){ if(scc_id[to] == -1) rdfs(to, k); } } void build(){ for(int v = 0; v < n; ++v){ if(!visited[v]) dfs(v); } reverse(vs.begin(), vs.end()); for(int v : vs){ if(scc_id[v] == -1) rdfs(v, scc_sz++); } scc_graph.resize(scc_sz); for(int v = 0; v < n; ++v){ scc_graph[scc_id[v]].push_back(v); } return; } int size() { return scc_sz; } vector get_set(int k) { return scc_graph[k]; } int operator[](int v) { return scc_id[v]; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int N, M; cin >> N >> M; StronglyConnectedComponents g(N); map, int> edge_cnt; for(int i = 0; i < M; ++i){ int a, b, c; cin >> a >> b >> c; --a, --b; if(c == 1){ g.add_edge(a, b); g.add_edge(b, a); } else{ g.add_edge(a, b); if(a > b) swap(a, b); } edge_cnt[{a, b}] += 1; } g.build(); for(int i = 0; i < g.size(); ++i){ auto vs = g.get_set(i); if(vs.size() > 2){ cout << "Yes\n"; return 0; } if(vs.size() == 2 && edge_cnt[minmax(vs[0], vs[1])] > 1){ cout << "Yes\n"; return 0; } } cout << "No\n"; return 0; }