#include <iostream>
#include <string>
#include <cstdlib>
#include <cmath>
#include <vector>
#include <map>
#include <set>
#include <algorithm>
#include <queue>
#include <stack>
#include <functional>
#include <bitset>
#include <assert.h>
using namespace std;
typedef long long ll;
typedef vector<ll> vl;
typedef vector<vl> vvl;
typedef vector<char> vc;
typedef vector<string> vs;
typedef vector<bool> vb;
typedef vector<double> vd;
typedef pair<ll,ll> P;
typedef vector<P> vpl;
typedef tuple<ll,ll,ll> tapu;
#define rep(i,n) for(ll i=0; i<(n); i++)
#define REP(i,a,b) for(int i=(a); i<(b); i++)
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
const int inf = 1<<30;
const ll linf = 1LL<<62;
const int MAX = 510000;
ll dy[8] = {0,1,0,-1,1,-1,1,-1};
ll dx[8] = {1,0,-1,0,1,-1,-1,1};
const double pi = acos(-1);
const double eps = 1e-7;
template<typename T1,typename T2> inline bool chmin(T1 &a,T2 b){
	if(a>b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline bool chmax(T1 &a,T2 b){
	if(a<b){
		a = b; return true;
	}
	else return false;
}
template<typename T1,typename T2> inline void print2(T1 a, T2 b){cout << a << " " << b << endl;}
template<typename T1,typename T2,typename T3> inline void print3(T1 a, T2 b, T3 c){
	cout << a << " " << b << " " << c << endl;
}
const int mod = 1e9 + 7;
//const int mod = 998244353;

struct UnionFind{
	vl p;
	vl rank;
	vl cnt;

	UnionFind(ll n){
		rank.resize(n,0);
		p.resize(n,0);
		cnt.resize(n,0);
		rep(i,n){
			p[i] = i;
			rank[i] = 0;
			cnt[i] = 1;
		}
	}

	ll find(ll x){
		if(x != p[x]) p[x] = find(p[x]);
		return p[x];
	}

	bool same(ll x, ll y){
		return find(x) == find(y);
	}

	void unite(ll x, ll y){
		x = find(x);
		y = find(y);
		if(x == y) return;
		if(rank[x] > rank[y]){
			p[y] = x;
			cnt[x] += cnt[y];
		}else{
			p[x] = y;
			cnt[y] += cnt[x];
			if(rank[x] == rank[y]) rank[y]++;
		}
	}

	ll size(ll x){
		return cnt[find(x)];
	}
};

int main(){
	ll n,m; cin >> n >> m;
	vvl G(n);
	vector<vpl> edges(2);
	rep(i,m){
		ll a,b,c; cin >> a >> b >> c; a--; b--; c--;
		edges[c].emplace_back(a,b);
		if(!c){
			G[a].push_back(b);
			G[b].push_back(a);
		}
	}
	vl visit(n,false);
	rep(i,n){
		if(G[i].empty() || visit[i]) continue;
		visit[i] = true;
		queue<P> q;
		q.emplace(i,-1);
		while(!q.empty()){
			P p = q.front(); q.pop();
			ll u = p.first;
			ll par = p.second;
			for(auto v : G[u]){
				if(v == par) continue;
				if(visit[v]){
					puts("Yes");
					return 0;
				}
				visit[v] = true;
				q.emplace(v,u);
			}
		}
	}
	vvl g(n);
	vl indeg(n,0);
	UnionFind uf(n);
	map<P,ll> mp;
	for(auto i : edges[0]) uf.unite(i.first,i.second);
	for(auto i : edges[1]){
		ll a = uf.find(i.first);
		ll b = uf.find(i.second);
		if(mp[P(a,b)] > 0) continue;
		g[a].push_back(b);
		indeg[b]++;
	}
	rep(i,n) visit[i] = false;
	rep(i,n){
		if(g[i].empty() || visit[i] || indeg[i]) continue;
		visit[i] = true;
		queue<ll> q;
		q.push(i);
		while(!q.empty()){
			ll u = q.front(); q.pop();
			for(auto v : g[u]){
				indeg[v]--;
				if(!indeg[v] && !visit[v]){
					visit[v] = true;
					q.push(v);
				}
			}
		}
	}
	rep(i,n){
		if(indeg[i]){
			puts("Yes");
			return 0;
		}
	}
	puts("No");
}