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

#define int long long
template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }
using UnWeightedGraph = vector< vector< int > >;

template< typename G >
struct StronglyConnectedComponents {
  const G &g;
  UnWeightedGraph gg, rg;
  vector< int > comp, order, used;

  StronglyConnectedComponents(G &g) : g(g), gg(g.size()), rg(g.size()), comp(g.size(), -1), used(g.size()) {
    for(int i = 0; i < g.size(); i++) {
      for(auto e : g[i]) {
        gg[i].emplace_back((int) e);
        rg[(int) e].emplace_back(i);
      }
    }
  }

  int operator[](int k) {
    return comp[k];
  }

  void dfs(int idx) {
    if(used[idx]) return;
    used[idx] = true;
    for(int to : gg[idx]) dfs(to);
    order.push_back(idx);
  }

  void rdfs(int idx, int cnt) {
    if(comp[idx] != -1) return;
    comp[idx] = cnt;
    for(int to : rg[idx]) rdfs(to, cnt);
  }

  void build(UnWeightedGraph &t) {
    for(int i = 0; i < gg.size(); i++) dfs(i);
    reverse(begin(order), end(order));
    int ptr = 0;
    for(int i : order) if(comp[i] == -1) rdfs(i, ptr), ptr++;

    t.resize(ptr);
    for(int i = 0; i < g.size(); i++) {
      for(auto &to : g[i]) {
        int x = comp[i], y = comp[to];
        if(x == y) continue;
        t[x].push_back(y);
      }
    }
  }
};

template< typename G >
struct LowLink {
  const G &g;
  vector< int > used, ord, low;
  vector< int > articulation;
  vector< pair< int, int > > bridge;
 
  LowLink(const G &g) : g(g) {}
 
  int dfs(int idx, int k, int par) {
    used[idx] = true;
    ord[idx] = k++;
    low[idx] = ord[idx];
    bool is_articulation = false;
    int cnt = 0;
    for(auto &to : g[idx]) {
      if(!used[to]) {
        ++cnt;
        k = dfs(to, k, idx);
        low[idx] = min(low[idx], low[to]);
        is_articulation |= ~par && low[to] >= ord[idx];
        if(ord[idx] < low[to]) bridge.emplace_back(minmax(idx, (int) to));
      } else if(to != par) {
        low[idx] = min(low[idx], ord[to]);
      }
    }
    is_articulation |= par == -1 && cnt > 1;
    if(is_articulation) articulation.push_back(idx);
    return k;
  }
 
  virtual void build() {
    used.assign(g.size(), 0);
    ord.assign(g.size(), 0);
    low.assign(g.size(), 0);
    int k = 0;
    for(int i = 0; i < g.size(); i++) {
      if(!used[i]) k = dfs(i, k, -1);
    }
  }
};
template< typename G >
struct TwoEdgeConnectedComponents : LowLink< G > {
  using LL = LowLink< G >;
  vector< int > comp;
 
  TwoEdgeConnectedComponents(const G &g) : LL(g) {}
 
  int operator[](const int &k) {
    return comp[k];
  }
 
  void dfs(int idx, int par, int &k) {
    if(~par && this->ord[par] >= this->low[idx]) comp[idx] = comp[par];
    else comp[idx] = k++;
    for(auto &to : this->g[idx]) {
      if(comp[to] == -1) dfs(to, idx, k);
    }
  }
 
  void build(UnWeightedGraph &t) {
    LL::build();
    comp.assign(this->g.size(), -1);
    int k = 0;
    for(int i = 0; i < comp.size(); i++) {
      if(comp[i] == -1) dfs(i, -1, k);
    }
    t.resize(k);
    for(auto &e : this->bridge) {
      int x = comp[e.first], y = comp[e.second];
      t[x].push_back(y);
      t[y].push_back(x);
    }
  }
};
int a[200010];
int b[200010];
int c[200010]; 

signed main(){
	int n, m;
	cin >> n >> m;
	UnWeightedGraph graph(n);

	for(int i = 0;i < m;i++){
		cin >> a[i] >> b[i] >> c[i];
		a[i]--; b[i]--;
		if(c[i] == 1){
			graph[a[i]].push_back(b[i]);
			graph[b[i]].push_back(a[i]);
		}
	}

	TwoEdgeConnectedComponents<UnWeightedGraph> x(graph);
	UnWeightedGraph tmp, tmp2, tmp3;
	x.build(tmp);

	vector<int> cnt(n, 0);

	for(int i = 0;i < n;i++){
		cnt[x[i]]++;
		if(cnt[x[i]] > 1){
			cout << "Yes" << endl;
			return 0;
		}
	}

	StronglyConnectedComponents<UnWeightedGraph> scc(graph);
	scc.build(tmp2);

	for(int i = 0;i < m;i++){
		if(c[i] == 2){
			if(scc[a[i]] == scc[b[i]]){
				cout << "Yes" << endl;
				return 0;
			}else{
				tmp2[scc[a[i]]].push_back(scc[b[i]]);
			}
		}
	}

	StronglyConnectedComponents<UnWeightedGraph> scc2(tmp2);
	scc2.build(tmp3);

	vector<int> cnt2(n, 0);
	for(int i = 0;i < tmp2.size();i++){
		cnt2[scc2[i]]++;
		if(cnt2[scc2[i]] > 1){
			cout << "Yes" << endl;
			return 0;
		}
	}

	cout << "No" << endl;

	return 0;
}