#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
using namespace std;
typedef long long int ll;
typedef unsigned long long int ull;

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll myRand(ll B) {
    return (ull)rng() % B;
}
inline double time() {
    return static_cast<long double>(chrono::duration_cast<chrono::nanoseconds>(chrono::steady_clock::now().time_since_epoch()).count()) * 1e-9;
}

struct SCC{
    vector<vector<int> > gg,rg;
    vector<int> comp,order;
    vector<bool> used;
    vector<vector<int> > ng,vs;
    int n,nn;
    SCC(){}
    SCC(int v):gg(v),rg(v),comp(v,-1),used(v,0),n(v){}
    void add_edge(int x,int y){
        gg[x].push_back(y);
        rg[y].push_back(x);
    }
    void dfs(int v){
        used[v]=1;
        for(int i:gg[v]){
            if(!used[i])dfs(i);
        }
        order.push_back(v);
    }
    void rdfs(int v,int k){
        used[v]=1;
        comp[v]=k;
        for(int i:rg[v]){
            if(!used[i])rdfs(i,k);
        }
    }
    int build(){
        for(int i=0;i<n;i++){
            if(!used[i])dfs(i);
        }
        for(int i=0;i<n;i++){
            used[i]=0;
        }
        int k=0;
        for(int i=order.size()-1;i>=0;i--){
            if(!used[order[i]])rdfs(order[i],k++);
        }
        nn=k;
        // それぞれの強連結成分に含まれる頂点の番号
        vs.resize(k,vector<int>());
        for(int i=0;i<n;i++){
            vs[comp[i]].push_back(i);
        }
        // 強連結成分をまとめた後のグラフ
        ng.resize(k,vector<int>());
        for(int i=0;i<n;i++){
            for(int j:gg[i]){
                if(comp[i]!=comp[j]){
                    ng[comp[i]].push_back(comp[j]);
                }
            }
        }
        for(int i=0;i<nn;i++){
            sort(ng[i].begin(),ng[i].end());
            ng[i].erase(unique(ng[i].begin(),ng[i].end()),ng[i].end());
        }
        return k;
    }
};

int main(){
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    int n,m; cin >> n >> m;
    vector<vector<int>> g(n);
    SCC G(n);
    for (int i = 0; i < m; ++i) {
        int x,y,t; cin >> x >> y >> t;
        x -= 1; y -= 1;
        g[x].push_back(y);
        if (t == 2) G.add_edge(x, y);
    }
    int k = G.build();
    vector<bool> used(n);
    queue<int> q; q.push(0);
    used[0] = true;
    while (q.size()) {
        int s = q.front(); q.pop();
        for (int t : g[s]) {
            if (!used[t]) {
                used[t] = true;
                q.push(t);
            }
        }
    }
    for (int i = 0; i < n; ++i) {
        if (!used[i]) continue;
        if (G.ng[G.comp[i]].size()) {
            cout << "Yes" << endl;
            return 0;
        }
    }
    cout << "No" << endl;
}