#include <bits/stdc++.h>
#define all(vec) vec.begin(), vec.end()
#define pb push_back
#define eb emplace_back
using namespace std;
using ll = long long;
using P = pair<ll, ll>;
using V = vector<int>;
using VL = vector<ll>;
constexpr ll INF = (1LL << 30) - 1LL;
constexpr ll MOD = 1e9 + 7;
constexpr int dx[4] = {0, 1, 0, -1}, dy[4] = {1, 0, -1, 0};
template <class T>
void chmin(T &a, T b) { a = min(a, b); }
template <class T>
void chmax(T &a, T b) { a = max(a, b); }
void ok() { cerr << "ok" << endl; }
struct UnionFind {
    vector<int> par, sz;
    UnionFind(int n) {
        par.resize(n);
        sz.resize(n, 1);
        iota(all(par), 0);
    }
    inline int find(int x) {
        if (x == par[x]) return x;
        return par[x] = find(par[x]);
    }
    void unite(int u, int v) {
        u = find(u), v = find(v);
        if (u == v) return;
        if (sz[u] < sz[v]) swap(u, v);
        par[v] = u;
        sz[u] += sz[v];
    }
    inline bool same(int u, int v) {
        return find(u) == find(v);
    }
};
vector<vector<int>> G;
struct SCC {
    int n;
    vector<int> ord, vis, cm;
    vector<vector<int>> bl, rG;
    SCC(int n) : n(n), bl(n), rG(n), cm(n), vis(n) {}
    void dfs(int i) {
        vis[i] = 1;
        for (auto &e : G[i]) {
            if (vis[e]) continue;
            dfs(e);
        }
        ord.eb(i);
    }
    void rdfs(int i, int c) {
        vis[i] = 1;
        bl[c].eb(i);
        cm[i] = c;
        for (auto &e : rG[i]) {
            if (vis[e]) continue;
            rdfs(e, c);
        }
    }
    void build() {
        for (int i = 0; i < n; i++) {
            for (auto &e : G[i]) {
                rG[e].eb(i);
            }
        }
        for (int i = 0; i < n; i++) {
            if (!vis[i]) dfs(i);
        }
        reverse(all(ord));
        vis.assign(n, 0);
        int k = 0;
        for (auto &e : ord) {
            if (!vis[e]) {
                bl.eb(vector<int>());
                rdfs(e, k);
                k++;
            }
        }
    }
};
int main() {
    cin.tie(0);
    ios::sync_with_stdio(0);
    int n, m;
    cin >> n >> m;
    UnionFind uf(n);
    V a(m), b(m), c(m);
    G.resize(n);
    for (int i = 0; i < m; i++) {
        cin >> a[i] >> b[i] >> c[i];
        --a[i];
        --b[i];
        if (c[i] == 1) {
            if (uf.same(a[i], b[i])) {
                cout << "Yes\n";
                return 0;
            }
            uf.unite(a[i], b[i]);
        }
    }
    for (int i = 0; i < m; i++) {
        if (c[i] == 2) {
            if (uf.same(a[i], b[i])) {
                cout << "Yes\n";
                return 0;
            }
            G[uf.find(a[i])].eb(uf.find(b[i]));
        }
    }
    SCC scc(n);
    scc.build();
    for (int i = 0; i < n; i++) {
        if (scc.bl[i].size() > 1) {
            cout << "Yes\n";
            return 0;
        }
    }
    cout << "No\n";
    return 0;
}