#include <stdio.h>
#include <vector>
#include <set>
#pragma warning(disable:4996) 

using namespace std;

class UF
{
private:
    int         num;
    vector<int> par;
    vector<int> siz;
public:
    UF(int n): num(n) {
        par.resize(n);
        siz.resize(n);
        int i;
        for(i=0; i<n; i++) {
            par[i]=i; siz[i]=1;
        }
    }
	
    int find(int x) {
        if(x==par[x]) return x;
        return par[x] = find(par[x]);
    }

    void unite(int x, int y) {
        x=find(x);
        y=find(y);
        if(x==y) return;
        if(siz[x]<siz[y]) {
            par[x]=y;
            siz[y]=siz[x]+siz[y];
        }
        else {
            par[y]=x;
            siz[x]=siz[x]+siz[y];
        }
    }

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

vector<vector<int> > g;   // target vertex
vector<int> vis;
vector<int> fin;

bool dfs(int curr)
{
    vis[curr]=1;
    int siz=(int)g[curr].size();
    int i;
    for(i=0; i<siz; i++) {
        int next=g[curr][i];
        if(vis[next] && fin[next]==0) {
            return true;
        }
        if(vis[next]) {
            continue;
        }
        if(dfs(next)) {
            return true;
        }
    }
    fin[curr]=1;
    return false;
}

void solve(int n, int m, const vector<int>& a, const vector<int>& b, const vector<int> c)
{
    g.resize(n); 
    vis.resize(n); fin.resize(n);
    int i;

    UF uf(n);
    for(i=0; i<m; i++) {
        if(c[i]==1) {
            if (uf.same(a[i], b[i])) {
                 printf("Yes\n"); return;
            }
            uf.unite(a[i],b[i]);
        }
    }
    for(i=0; i<m; i++) {        
        if(c[i]==2) {
            g[uf.find(a[i])].push_back(uf.find(b[i]));
        }
    }

    for(i=0; i<n; i++) {
        if(vis[i]) continue;
        bool ret=dfs(i);
        if(ret){
            printf("Yes\n");
            return;
        }
    }
    printf("No\n");
    return;
}

int main(int argc, char* argv[])
{
    int n,m;
    scanf("%d%d", &n, &m);
    vector<int> a(m),b(m),c(m);
    int i;
    for(i=0; i<m; i++) {
        scanf("%d%d%d", &a[i], &b[i], &c[i]); a[i]--; b[i]--;
    }
	solve(n, m, a, b, c);

	return 0;
}