import std.conv, std.functional, std.range, std.stdio, std.string;
import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, std.regex, std.typecons;
import core.bitop;

class EOFException : Throwable { this() { super("EOF"); } }
string[] tokens;
string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; }
int readInt() { return readToken.to!int; }
long readLong() { return readToken.to!long; }
real readReal() { return readToken.to!real; }

bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } }
bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } }

int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; }
int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); }
int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); }

int root(int[] uf, int u) {
  return (uf[u] < 0) ? u : (uf[u] = uf.root(uf[u]));
}
bool connect(int[] uf, int u, int v) {
  u = uf.root(u);
  v = uf.root(v);
  if (u == v) return false;
  if (uf[u] > uf[v]) swap(u, v);
  uf[u] += uf[v];
  uf[v] = u;
  return true;
}

Tuple!(int, int[]) scc(in int[][][] graph) {
  const n = cast(int)(graph[0].length);
  int compN;
  auto compIds = new int[n];
  int[] us;
  void dfs(int s, int u, int a, int b) {
    if (compIds[u] == a) {
      compIds[u] = b;
      foreach (v; graph[s][u]) {
        dfs(s, v, a, b);
      }
      if (s == 0) {
        us ~= u;
      }
    }
  }
  foreach (u; 0 .. n) {
    dfs(0, u, 0, -1);
  }
  foreach_reverse (u; us) {
    if (compIds[u] == -1) {
      dfs(1, u, -1, compN);
      ++compN;
    }
  }
  return tuple(compN, compIds);
}


void main() {
  try {
    for (; ; ) {
      const N = readInt();
      const M = readInt();
      auto A = new int[M];
      auto B = new int[M];
      auto C = new int[M];
      foreach (i; 0 .. M) {
        A[i] = readInt() - 1;
        B[i] = readInt() - 1;
        C[i] = readInt();
      }
      
      auto graph = new int[][][](2, N);
      void ae(int u, int v) {
        graph[0][u] ~= v;
        graph[1][v] ~= u;
      }
      foreach (i; 0 .. M) {
        if (C[i] == 1) {
          ae(A[i], B[i]);
          ae(B[i], A[i]);
        } else {
          ae(A[i], B[i]);
        }
      }
      const res = scc(graph);
      
      bool ans;
      foreach (i; 0 .. M) {
        if (C[i] == 2) {
          if (res[1][A[i]] == res[1][B[i]]) {
            ans = true;
          }
        }
      }
      
      auto uf = new int[N];
      uf[] = -1;
      foreach (i; 0 .. M) {
        if (C[i] == 1) {
          if (!uf.connect(A[i], B[i])) {
            ans = true;
          }
        }
      }
      
      writeln(ans ? "Yes" : "No");
    }
  } catch (EOFException e) {
  }
}