#pragma GCC optimize ("Ofast")
#include<bits/stdc++.h>
using namespace std;
void *wmem;
char memarr[96000000];
template<class T> inline void walloc1d(T **arr, int x, void **mem = &wmem){
  static int skip[16] = {0, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1};
  (*mem) = (void*)( ((char*)(*mem)) + skip[((unsigned long long)(*mem)) & 15] );
  (*arr)=(T*)(*mem);
  (*mem)=((*arr)+x);
}
inline int my_getchar_unlocked(){
  static char buf[1048576];
  static int s = 1048576;
  static int e = 1048576;
  if(s == e && e == 1048576){
    e = fread_unlocked(buf, 1, 1048576, stdin);
    s = 0;
  }
  if(s == e){
    return EOF;
  }
  return buf[s++];
}
inline void rd(int &x){
  int k;
  int m=0;
  x=0;
  for(;;){
    k = my_getchar_unlocked();
    if(k=='-'){
      m=1;
      break;
    }
    if('0'<=k&&k<='9'){
      x=k-'0';
      break;
    }
  }
  for(;;){
    k = my_getchar_unlocked();
    if(k<'0'||k>'9'){
      break;
    }
    x=x*10+k-'0';
  }
  if(m){
    x=-x;
  }
}
struct MY_WRITER{
  char buf[1048576];
  int s;
  int e;
  MY_WRITER(){
    s = 0;
    e = 1048576;
  }
  ~MY_WRITER(){
    if(s){
      fwrite_unlocked(buf, 1, s, stdout);
    }
  }
}
;
MY_WRITER MY_WRITER_VAR;
void my_putchar_unlocked(int a){
  if(MY_WRITER_VAR.s == MY_WRITER_VAR.e){
    fwrite_unlocked(MY_WRITER_VAR.buf, 1, MY_WRITER_VAR.s, stdout);
    MY_WRITER_VAR.s = 0;
  }
  MY_WRITER_VAR.buf[MY_WRITER_VAR.s++] = a;
}
inline void wt_L(char a){
  my_putchar_unlocked(a);
}
inline void wt_L(const char c[]){
  int i=0;
  for(i=0;c[i]!='\0';i++){
    my_putchar_unlocked(c[i]);
  }
}
template<class S> inline void arrInsert(const int k, int &sz, S a[], const S aval){
  int i;
  sz++;
  for(i=sz-1;i>k;i--){
    a[i] = a[i-1];
  }
  a[k] = aval;
}
template<class S, class T> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval){
  int i;
  sz++;
  for(i=sz-1;i>k;i--){
    a[i] = a[i-1];
  }
  for(i=sz-1;i>k;i--){
    b[i] = b[i-1];
  }
  a[k] = aval;
  b[k] = bval;
}
template<class S, class T, class U> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval){
  int i;
  sz++;
  for(i=sz-1;i>k;i--){
    a[i] = a[i-1];
  }
  for(i=sz-1;i>k;i--){
    b[i] = b[i-1];
  }
  for(i=sz-1;i>k;i--){
    c[i] = c[i-1];
  }
  a[k] = aval;
  b[k] = bval;
  c[k] = cval;
}
template<class S, class T, class U, class V> inline void arrInsert(const int k, int &sz, S a[], const S aval, T b[], const T bval, U c[], const U cval, V d[], const V dval){
  int i;
  sz++;
  for(i=sz-1;i>k;i--){
    a[i] = a[i-1];
  }
  for(i=sz-1;i>k;i--){
    b[i] = b[i-1];
  }
  for(i=sz-1;i>k;i--){
    c[i] = c[i-1];
  }
  for(i=sz-1;i>k;i--){
    d[i] = d[i-1];
  }
  a[k] = aval;
  b[k] = bval;
  c[k] = cval;
  d[k] = dval;
}
struct unionFind{
  int *d;
  int N;
  int M;
  inline void malloc(const int n){
    d = (int*)std::malloc(n*sizeof(int));
    M = n;
  }
  inline void malloc(const int n, const int fg){
    d = (int*)std::malloc(n*sizeof(int));
    M = n;
    if(fg){
      init(n);
    }
  }
  inline void free(void){
    std::free(d);
  }
  inline void walloc(const int n, void **mem=&wmem){
    walloc1d(&d, n, mem);
    M = n;
  }
  inline void walloc(const int n, const int fg, void **mem=&wmem){
    walloc1d(&d, n, mem);
    M = n;
    if(fg){
      init(n);
    }
  }
  inline void init(const int n){
    int i;
    N = n;
    for(i=(0);i<(n);i++){
      d[i] = -1;
    }
  }
  inline void init(void){
    init(M);
  }
  inline int get(int a){
    int t = a;
    int k;
    while(d[t]>=0){
      t=d[t];
    }
    while(d[a]>=0){
      k=d[a];
      d[a]=t;
      a=k;
    }
    return a;
  }
  inline int connect(int a, int b){
    if(d[a]>=0){
      a=get(a);
    }
    if(d[b]>=0){
      b=get(b);
    }
    if(a==b){
      return 0;
    }
    if(d[a] < d[b]){
      d[a] += d[b];
      d[b] = a;
    }
    else{
      d[b] += d[a];
      d[a] = b;
    }
    return 1;
  }
  inline int operator()(int a){
    return get(a);
  }
  inline int operator()(int a, int b){
    return connect(a,b);
  }
  inline int& operator[](const int a){
    return d[a];
  }
  inline int size(int a){
    a = get(a);
    return -d[a];
  }
  inline int sizeList(int res[]){
    int i;
    int sz=0;
    for(i=(0);i<(N);i++){
      if(d[i]<0){
        res[sz++] = -d[i];
      }
    }
    return sz;
  }
}
;
template<class T> int coordcomp_L(int n, T arr[], int res[] = NULL, void *mem = wmem){
  int i;
  int k = 0;
  pair<T,int> *r;
  walloc1d(&r, n, &mem);
  for(i=(0);i<(n);i++){
    r[i].first = arr[i];
    r[i].second = i;
  }
  sort(r, r+n);
  if(res != NULL){
    for(i=(0);i<(n);i++){
      if(i && r[i].first != r[i-1].first){
        k++;
      }
      res[r[i].second] = k;
    }
  }
  else{
    for(i=(0);i<(n);i++){
      if(i && r[i].first != r[i-1].first){
        k++;
      }
      arr[r[i].second] = k;
    }
  }
  return k+1;
}
template<class T> int coordcomp_L(int n1, T arr1[], int n2, T arr2[], int res1[] = NULL, int res2[] = NULL, void *mem = wmem){
  int i;
  int k = 0;
  pair<T,int> *r;
  walloc1d(&r, n1+n2, &mem);
  for(i=(0);i<(n1);i++){
    r[i].first = arr1[i];
    r[i].second = i;
  }
  for(i=(0);i<(n2);i++){
    r[n1+i].first = arr2[i];
    r[n1+i].second = n1+i;
  }
  sort(r, r+n1+n2);
  for(i=(0);i<(n1+n2);i++){
    if(i && r[i].first != r[i-1].first){
      k++;
    }
    if(r[i].second < n1){
      if(res1!=NULL){
        res1[r[i].second] = k;
      }
      else{
        arr1[r[i].second] = k;
      }
    }
    else{
      if(res2!=NULL){
        res2[r[i].second-n1] = k;
      }
      else{
        arr2[r[i].second-n1] = k;
      }
    }
  }
  return k+1;
}
struct graph{
  int N;
  int *es;
  int **edge;
  void setEdge(int N__, int M, int A[], int B[], void **mem = &wmem){
    int i;
    N = N__;
    walloc1d(&es, N, mem);
    walloc1d(&edge, N, mem);
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      es[A[i]]++;
      es[B[i]]++;
    }
    for(i=(0);i<(N);i++){
      walloc1d(&edge[i], es[i], mem);
    }
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      edge[A[i]][es[A[i]]++] = B[i];
      edge[B[i]][es[B[i]]++] = A[i];
    }
  }
  void setDirectEdge(int N__, int M, int A[], int B[], void **mem = &wmem){
    int i;
    N = N__;
    walloc1d(&es, N, mem);
    walloc1d(&edge, N, mem);
    walloc1d(&edge[0], M, mem);
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      es[A[i]]++;
    }
    for(i=(0);i<(N);i++){
      walloc1d(&edge[i], es[i], mem);
    }
    for(i=(0);i<(N);i++){
      es[i] = 0;
    }
    for(i=(0);i<(M);i++){
      edge[A[i]][es[A[i]]++] = B[i];
    }
  }
  graph reverse(void **mem = &wmem){
    int i;
    int j;
    int k;
    graph g;
    g.N = N;
    walloc1d(&g.es, N, mem);
    walloc1d(&g.edge, N, mem);
    for(i=(0);i<(N);i++){
      g.es[i] = 0;
    }
    for(i=(0);i<(N);i++){
      for(j=(0);j<(es[i]);j++){
        g.es[edge[i][j]]++;
      }
    }
    for(i=(0);i<(N);i++){
      walloc1d(&g.edge[i], g.es[i], mem);
    }
    for(i=(0);i<(N);i++){
      g.es[i] = 0;
    }
    for(i=(0);i<(N);i++){
      for(j=(0);j<(es[i]);j++){
        k = edge[i][j];
        g.edge[k][g.es[k]++] = i;
      }
    }
    return g;
  }
  inline int sccDFS(int num[], int st, int mx){
    int i;
    int j;
    num[st]=-2;
    for(i=(0);i<(es[st]);i++){
      j=edge[st][i];
      if(num[j]==-1){
        mx=sccDFS(num,j,mx);
      }
    }
    num[st]=mx;
    return mx+1;
  }
  int scc(int res[], void *mem = wmem){
    int i;
    int j;
    int k;
    int ret=0;
    graph r;
    int *st;
    int st_size;
    int *num;
    int *nrv;
    r = reverse(&mem);
    walloc1d(&st, N, &mem);
    walloc1d(&num, N, &mem);
    walloc1d(&nrv, N, &mem);
    for(i=(0);i<(N);i++){
      res[i] = num[i] = -1;
    }
    k = 0;
    for(i=(0);i<(N);i++){
      if(num[i]==-1){
        k = sccDFS(num,i,k);
      }
    }
    for(i=(0);i<(N);i++){
      nrv[num[i]] = i;
    }
    for(k=N-1;k>=0;k--){
      i=nrv[k];
      if(res[i]>=0){
        continue;
      }
      res[i]=ret;
      st_size=0;
      st[st_size++]=i;
      while(st_size){
        i=st[--st_size];
        for(j=(0);j<(r.es[i]);j++){
          if(res[r.edge[i][j]]==-1){
            res[r.edge[i][j]]=ret;
            st[st_size++]=r.edge[i][j];
          }
        }
      }
      ret++;
    }
    return ret;
  }
}
;
int N;
int M;
int A[400000];
int B[400000];
int C[400000];
int n;
int m;
int a[400000];
int b[400000];
int scc[100000];
graph g;
int vis[100000];
int solve(int n, int b = -1){
  int Lj4PdHRW;
  if(vis[n]){
    return 0;
  }
  vis[n] = 2;
  for(Lj4PdHRW=(0);Lj4PdHRW<(g.es[n]);Lj4PdHRW++){
    auto &i = g.edge[n][Lj4PdHRW];
    if(i==b){
      continue;
    }
    if(vis[i]==2){
      return 1;
    }
    if(solve(i, n)){
      return 1;
    }
  }
  vis[n] = 1;
  return 0;
}
int main(){
  int i;
  wmem = memarr;
  int k;
  unionFind uf;
  set<pair<int,int>> s0;
  set<pair<int,int>> s1;
  rd(N);
  rd(M);
  {
    int e98WHCEY;
    for(e98WHCEY=(0);e98WHCEY<(M);e98WHCEY++){
      rd(A[e98WHCEY]);A[e98WHCEY] += (-1);
      rd(B[e98WHCEY]);B[e98WHCEY] += (-1);
      rd(C[e98WHCEY]);C[e98WHCEY] += (-1);
    }
  }
  for(i=(0);i<(M);i++){
    if(C[i]==0){
      s0.insert( make_pair(A[i], B[i]) );
      if(s1.count(make_pair(A[i], B[i]))){
        wt_L("Yes");
        wt_L('\n');
        return 0;
      }
      if(s1.count(make_pair(B[i], A[i]))){
        wt_L("Yes");
        wt_L('\n');
        return 0;
      }
    }
    else{
      s1.insert( make_pair(A[i], B[i]) );
      if(s0.count(make_pair(A[i], B[i]))){
        wt_L("Yes");
        wt_L('\n');
        return 0;
      }
      if(s0.count(make_pair(B[i], A[i]))){
        wt_L("Yes");
        wt_L('\n');
        return 0;
      }
      if(s1.count(make_pair(B[i], A[i]))){
        wt_L("Yes");
        wt_L('\n');
        return 0;
      }
    }
  }
  for(i=(0);i<(M);i++){
    if(C[i]==0){
      arrInsert(m,m,a,A[i],b,B[i]);
    }
  }
  g.setEdge(N,m,a,b);
  for(i=(0);i<(N);i++){
    if(!vis[i]){
      if(solve(i)){
        wt_L("Yes");
        wt_L('\n');
        return 0;
      }
    }
  }
  uf.malloc(N, 1);
  for(i=(0);i<(M);i++){
    if(C[i]==0){
      uf(A[i],B[i]);
    }
  }
  m = 0;
  for(i=(0);i<(M);i++){
    if(C[i]==1){
      arrInsert(m,m,a,uf(A[i]),b,uf(B[i]));
    }
  }
  for(i=(0);i<(m);i++){
    if(a[i]==b[i]){
      wt_L("Yes");
      wt_L('\n');
      return 0;
    }
  }
  n =coordcomp_L(m,a,m,b);
  g.setDirectEdge(n,m,a,b);
  if(g.scc(scc) < n){
    wt_L("Yes");
    wt_L('\n');
    return 0;
  }
  wt_L("No");
  wt_L('\n');
  return 0;
}
// cLay varsion 20200408-1

// --- original code ---
// int N, M, A[4d5], B[4d5], C[4d5];
// 
// int n, m, a[4d5], b[4d5], scc[1d5];
// graph g;
// 
// int vis[1d5];
// int solve(int n, int b = -1){
//   if(vis[n]) return 0;
//   vis[n] = 2;
//   rep[g.edge[n]](i,g.es[n]){
//     if(i==b) continue;
//     if(vis[i]==2) return 1;
//     if(solve(i, n)) return 1;
//   }
//   vis[n] = 1;
//   return 0;
// }
// 
// {
//   int k;
//   unionFind uf;
//   set<pair<int,int>> s0, s1;
//   rd(N,M,(A--,B--,C--)(M));
// 
//   rep(i,M){
//     if(C[i]==0){
//       s0.insert( make_pair(A[i], B[i]) );
//       if(s1.count(make_pair(A[i], B[i]))) wt("Yes"), return 0;
//       if(s1.count(make_pair(B[i], A[i]))) wt("Yes"), return 0;
//     } else {
//       s1.insert( make_pair(A[i], B[i]) );
//       if(s0.count(make_pair(A[i], B[i]))) wt("Yes"), return 0;
//       if(s0.count(make_pair(B[i], A[i]))) wt("Yes"), return 0;
//       if(s1.count(make_pair(B[i], A[i]))) wt("Yes"), return 0;
//     }
//   }
// 
//   rep(i,M) if(C[i]==0) arrInsert(m,m,a,A[i],b,B[i]);
//   g.setEdge(N,m,a,b);
//   rep(i,N) if(!vis[i]) if(solve(i)) wt("Yes"), return 0;
// 
//   uf.malloc(N, 1);
//   rep(i,M) if(C[i]==0) uf(A[i],B[i]);
// 
//   m = 0;
//   rep(i,M) if(C[i]==1) arrInsert(m,m,a,uf(A[i]),b,uf(B[i]));
//   rep(i,m) if(a[i]==b[i]) wt("Yes"), return 0;
//   n = coordcomp(m,a,m,b);
//   g.setDirectEdge(n,m,a,b);
//   if(g.scc(scc) < n) wt("Yes"), return 0;
// 
//   wt("No");
// }