#include <bits/stdc++.h>
using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define DEBUG(...)
#endif

struct scc {
  const int n;
  vector<pair<int, int>> edge_pool;
  vector<int> head, g, ord, low, st, cmp;
  int t = 0, id = 0;
  scc(int _n) : n(_n), head(n + 1), ord(n, -1), low(n), cmp(n, -1) {}
  void add(int from, int to) {
    edge_pool.emplace_back(from, to);
    ++head[from];
  }
  void build() {
    for (int v = 0; v < n; ++v) head[v + 1] += head[v];
    g.resize(head[n]);
    for (auto e : edge_pool) g[--head[e.first]] = e.second;
  }
  void dfs(int v) {
    ord[v] = low[v] = t++, st.push_back(v);
    for (int i = head[v]; i < head[v + 1]; ++i) {
      int to = g[i];
      if (ord[to] == -1) {
        dfs(to);
        low[v] = min(low[v], low[to]);
      } else if (cmp[to] == -1) {
        low[v] = min(low[v], ord[to]);
      }
    }
    if (ord[v] == low[v]) {
      while (true) {
        int u = st.back();
        st.pop_back();
        cmp[u] = id;
        if (u == v) break;
      }
      ++id;
    }
  }
  void run() {
    build();
    for (int v = 0; v < n; ++v) if (ord[v] == -1) dfs(v);
    for (auto&& e : cmp) e = id - e - 1;
  }
};

int main() {
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  int n, m;
  cin >> n >> m;
  scc g(n);
  vector<int> a(m), b(m), c(m);
  for (int i = 0; i < m; ++i) {
    cin >> a[i] >> b[i] >> c[i];
    --a[i], --b[i];
    if (c[i] == 1) {
      g.add(a[i], b[i]);
      g.add(b[i], a[i]);
    } else {
      g.add(a[i], b[i]);
    }
  }
  g.run();
  vector<int> cv(g.id), ce(g.id);
  for (int v = 0; v < n; ++v) {
    ++cv[g.cmp[v]];
    DEBUG(v, g.cmp[v]);
  }
  for (int i = 0; i < m; ++i) {
    if (g.cmp[a[i]] == g.cmp[b[i]]) {
      ++ce[g.cmp[a[i]]];
    }
  }
  for (int i = 0; i < g.id; ++i) {
    if (cv[i] == 1) {
      continue;
    }
    if (cv[i] == 2 and ce[i] == 1) {
      continue;
    }
    cout << "Yes\n";
    exit(0);
  }
  cout << "No\n";
}