#include<bits/stdc++.h>

using namespace std;

#define rep(i,m,n) for(int (i)=(int)(m);(i)<(int)(n);(i)++)
#define rep2(i,m,n) for(int (i)=(int)(n)-1;(i)>=(int)(m);(i)--)
#define REP(i,n) rep(i,0,n)
#define REP2(i,n) rep2(i,0,n)
#define FOR(i,c) for(decltype((c).begin())i=(c).begin();i!=(c).end();++i)
#define ll long long
#define ull unsigned long long
#define all(hoge) (hoge).begin(),(hoge).end()
#define en '\n'
typedef pair<ll, ll> P;
constexpr long long INF = 1LL << 60;
constexpr int INF_INT = 1 << 25;

typedef vector<ll> Array;
typedef vector<Array> Matrix;
template <class T> using vec = vector<T>;
template <class T> using vvec = vector<vec<T>>;

//constexpr long long MOD = (ll) 1e9+7;
constexpr long long MOD = 998244353;

template<class T> inline bool chmin(T& a, T b) {
	if (a > b) {
		a = b;
		return true;
	}
	return false;
}
template<class T> inline bool chmax(T& a, T b) {
	if (a < b) {
		a = b;
		return true;
	}
	return false;
}

struct Edge {
	int to, cap, rev;
	Edge(int _to, int _cap, int _rev) {
		to = _to; cap = _cap; rev = _rev;
	}
};
typedef vector<Edge> Edges;
typedef vector<Edges> Graph;

void add_edge(Graph& G, int from, int to, int cap, bool revFlag, int revCap) {
	G[from].push_back(Edge(to, cap, G[to].size()));
	if (revFlag)G[to].push_back(Edge(from, revCap, G[from].size() - 1));
}


//強連結成分分解
class SCC{
	Graph g,rg;
	vector<int> cmp,used,vs;
	int size;
public:
	SCC(Graph _g):g(_g),rg(g.size()),cmp(g.size(),-1),used(g.size(),false){
		REP(i,g.size()){
			for(auto e:g[i]){
				add_edge(rg,e.to,i,1,false,0);//逆辺のグラフ
			}
		}

		REP(i,g.size()){
			if(!used[i]) dfs(i);
		}
		int k=0;
		
		REP(i,vs.size()){
			ll v=vs[vs.size()-1-i];
			if(used[v]){
				rdfs(v,k);
				k++;
			}
		}
		size=k;
	}

	void dfs(int v){
		//帰りがけ順に番号を振る
		used[v]=true;
		for(auto e:g[v]){
			if(!used[e.to]) dfs(e.to);
		}
		vs.push_back(v);
	}

	void rdfs(int v, int k){
		//通ることができた頂点に番号を振る
		used[v]=false;
		cmp[v]=k;
		for(auto e:rg[v]){
			if(used[e.to]) rdfs(e.to,k);
		}
	}

	int getSize(){
		return size;
	}

	int group(int v){
		return cmp[v];
	}

  Graph rebuild(){
		//縮約したグラフを返す
		Graph ret(size);
		REP(i,g.size()){
			int u=cmp[i];
			for(auto e:g[i]){
				int v=cmp[e.to];
				if(u==v) continue;
				cout<<u<<" "<<v<<e.cap<<en;
				add_edge(ret,u,v,e.cap,false,0);
			}
		}
		return ret;
	}
};


class UnionFind {
 vector<int> data;
 int num;
public:
 UnionFind(int size) : data(size, -1), num(size) { }
 bool unionSet(int x, int y) {
  x = root(x); y = root(y);
  if (x != y) {
   if (data[y] < data[x]) swap(x, y);
   data[x] += data[y]; data[y] = x;
   num--;
  }
  return x != y;
 }
 bool findSet(int x, int y) {
  return root(x) == root(y);
 }
 int root(int x) {
  return data[x] < 0 ? x : data[x] = root(data[x]);
 }
 int size(int x) {
  return -data[root(x)];
 }
 int numSet() {
  return num;
 }
};

void solve() {
    ll n,m;
    cin>>n>>m;
    Graph g(n);
    vec<P> ab;
    UnionFind uni(n);
    bool flag=false;
    REP(i,m){
        ll a,b,c;
        cin>>a>>b>>c;
        a--;b--;
        if(uni.findSet(a,b)) flag=true;
        if(c==1){ 
            add_edge(g,a,b,1,true,1);
            uni.unionSet(a,b);
        }else{ 
            add_edge(g,a,b,1,false,1);
            ab.push_back({a,b});
        }
        
    }
    if(flag){
        cout<<"Yes"<<en;
        return;
    }
    SCC scc(g);
    
    REP(i,ab.size()){
        if(scc.group(ab[i].first)==scc.group(ab[i].second)){
            cout<<"Yes"<<en;
            return;
        }
    }
    cout<<"No"<<en;

}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cout.tie(0);

	solve();
	//int t; cin >> t; REP(i, t) solve();

	return 0;
}