#include <bits/stdc++.h>
using namespace std;
int main(){
  int N, M;
  cin >> N >> M;
  vector<vector<int>> E1(N), E2(N);
  for (int i = 0; i < M; i++){
    int a, b, c;
    cin >> a >> b >> c;
    a--;
    b--;
    if (c == 1){
      E1[a].push_back(b);
      E1[b].push_back(a);
    }
    if (c == 2){
      E2[a].push_back(b);
    }
  }
  int gcount = 0;
  vector<int> G(N, -1);
  for (int i = 0; i < N; i++){
    if (G[i] == -1){
      G[i] = gcount;
      queue<int> Q;
      Q.push(i);
      while (!Q.empty()){
        int v = Q.front();
        Q.pop();
        for (int w : E1[v]){
          if (G[w] == -1){
            G[w] = gcount;
            Q.push(w);
          }
        }
      }
      gcount++;
    }
  }
  vector<int> Vcount(gcount, 0);
  for (int i = 0; i < N; i++){
    Vcount[G[i]]++;
  }
  vector<int> Ecount(gcount, 0);
  for (int i = 0; i < N; i++){
    for (int j : E1[i]){
      Ecount[G[i]]++;
    }
  }
  vector<set<int>> E3(gcount);
  bool self_loop = false;
  for (int i = 0; i < N; i++){
    for (int j : E2[i]){
      E3[G[i]].insert(G[j]);
    }
  }
  //トポロジカルソートを試みる
  vector<int> indeg(gcount, 0);
  for (int i = 0; i < gcount; i++){
    for (int j : E3[i]){
      indeg[j]++;
    }
  }
  queue<int> Q;
  for (int i = 0; i < gcount; i++){
    if (indeg[i] == 0){
      Q.push(i);
    }
  }
  int count = 0;
  while (!Q.empty()){
    int v = Q.front();
    Q.pop();
    count++;
    for (int w : E3[v]){
      indeg[w]--;
      if (indeg[w] == 0){
        Q.push(w);
      }
    }
  }
  if (count != gcount){
    cout << "Yes" << endl;
  } else {
    bool res = false;
    for (int i = 0; i < gcount; i++){
      if (Ecount[i] / 2 >= Vcount[i]){
        res = true;
      }
    }
    if (res){
      cout << "Yes" << endl;
    } else {
      cout << "No" << endl;
    }
  }
}