//#define _GLIBCXX_DEBUG
#include <bits/stdc++.h>
#define rep(i, n) for(int i=0; i<n; ++i)
#define all(v) v.begin(), v.end()
#define rall(v) v.rbegin(), v.rend()
using namespace std;
using ll = int64_t;
using ld = long double;
using P = pair<int, int>;
using vs = vector<string>;
using vi = vector<int>;
using vvi = vector<vi>;
template<class T> using PQ = priority_queue<T>;
template<class T> using PQG = priority_queue<T, vector<T>, greater<T> >;
const int INF = 0xccccccc;
const ll LINF = 922337203685477580LL;
template<typename T1, typename T2>
inline bool chmax(T1 &a, T2 b) {return a < b && (a = b, true);}
template<typename T1, typename T2>
inline bool chmin(T1 &a, T2 b) {return a > b && (a = b, true);}
template<typename T1, typename T2>
istream &operator>>(istream &is, pair<T1, T2> &p) { return is >> p.first >> p.second;}
template<typename T1, typename T2>
ostream &operator<<(ostream &os, const pair<T1, T2> &p) { return os << p.first << ' ' << p.second;}

struct UnionFind {
	vector<int> par; // 親を指すvector,-par[親]は木のサイズ
	UnionFind(int n):par(n, -1) {} // uniteで親を埋め込んでいく必要あり
	int root(int x) { // 親をたどる&データの整理
		if(par[x] < 0) return x;
		return par[x] = root(par[x]);
	}
	bool unite(int x, int y) { // データの結合
		x = root(x);
		y = root(y);
		if(x == y) return false;
		if(par[x] > par[y]) swap(x, y);
		par[x] += par[y];
		par[y] = x;
		return true;
	}
	bool same(int x, int y) {return root(x) == root(y);} // 所属判定
	int size(int x) {return -par[root(x)];} // 木のサイズ
};

const int N = 1e5+10;

//head

int n, m;
UnionFind uft(N);
vector<P> edge;
bool ok;
int num[N];
vi G[N];

bitset<N> check;
bitset<N> F;
bool dfs(int i) {
	for(int ne:G[i]) {
		if(F.test(ne)) {
			return true;
		}
		if(!check.test(ne)) {
			check.set(ne);
			F.set(ne);
			if(dfs(ne)) return true;
			F.flip(ne);
		}
	}
	return false;
}

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	cin >> n >> m;
	rep(i, m) {
		int a, b, c;
		cin >> a >> b >> c;
		a--; b--;
		if(c == 1) {
			if(!uft.unite(a, b)) ok = true;
		}
		else {
			edge.emplace_back(a, b);
		}
	}
	int cnt = 0;
	rep(i, n) if(uft.root(i) == i) {
		num[i] = cnt++;
	}
	rep(i, edge.size()) {
		int u, v;
		tie(u, v) = edge[i];
		u = uft.root(u);
		v = uft.root(v);
		u = num[u];
		v = num[v];
		if(u == v) ok = true;
		else {
			G[u].emplace_back(v);
		}
	}
	rep(i, cnt) if(!check.test(i)) {
		check.set(i);
		F.set(i);
		if(dfs(i)) ok = true;
		F.flip(i);
	}

	cout << (ok?"Yes":"No") << endl;
}