/* -*- coding: utf-8 -*-
 *
 * 1023.cc:  No.1023 Cyclic Tour - yukicoder
 */

#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<cmath>
#include<iostream>
#include<string>
#include<vector>
#include<map>
#include<set>
#include<stack>
#include<list>
#include<queue>
#include<deque>
#include<algorithm>
#include<numeric>
#include<utility>
#include<complex>
#include<functional>
 
using namespace std;

/* constant */

const int MAX_N = 100000;
const int MAX_M = 200000;

/* typedef */

typedef vector<int> vi;
typedef queue<int> qi;
typedef pair<int,int> pii;

/* global variables */

vi nbrs[MAX_N];
int ps[MAX_N], cis[MAX_N], gids[MAX_N], pns[MAX_N];
pii es[MAX_M];
bool vstd[MAX_N];

/* subroutines */

/* main */

int main() {
  int n, m;
  scanf("%d%d", &n, &m);

  int en = 0;
  for (int i = 0; i < m; i++) {
    int a, b, c;
    scanf("%d%d%d", &a, &b, &c);
    a--, b--;
    if (c == 1) {
      nbrs[a].push_back(b);
      nbrs[b].push_back(a);
    }
    else
      es[en++] = pii(a, b);
  }

  memset(gids, -1, sizeof(gids));
  int gn = 0;

  for (int st = 0; st < n; st++)
    if (gids[st] < 0) {
      ps[st] = -1;
      gids[st] = gn++;
      for (int u = st; u >= 0;) {
	if (cis[u] == 0)
	  gids[u] = gids[st], vstd[u] = true;
	for (; cis[u] < nbrs[u].size(); cis[u]++) {
	  int v = nbrs[u][cis[u]];
	  if (v != ps[u]) {
	    if (gids[v] < 0) break;
	    if (vstd[v]) {
	      puts("Yes");
	      return 0;
	    }
	  }
	}

	if (cis[u] < nbrs[u].size()) {
	  int v = nbrs[u][cis[u]++];
	  ps[v] = u, u = v;
	}
	else
	  vstd[u] = false, u = ps[u];
      }
    }
  //for (int u = 0; u < n; u++) printf(" %d", gids[u]); putchar('\n');

  for (int u = 0; u < gn; u++) nbrs[u].clear();
  for (int i = 0; i < en; i++) {
    int ga = gids[es[i].first], gb = gids[es[i].second];
    if (ga != gb) {
      nbrs[ga].push_back(gb);
      pns[gb]++;
    }
    else {
      puts("Yes");
      return 0;
    }
  }

  qi q;
  for (int u = 0; u < gn; u++)
    if (pns[u] == 0) q.push(u);

  int k = 0;
  while (! q.empty()) {
    int u = q.front(); q.pop();
    k++;
    vi &nbru = nbrs[u];
    for (vi::iterator vit = nbru.begin(); vit != nbru.end(); vit++) {
      int v = *vit;
      if (--pns[v] == 0) q.push(v);
    }
  }

  if (k != gn) puts("Yes");
  else puts("No");
  return 0;
}