#include<bits/stdc++.h>
#ifdef LOCAL
#define debug(...) printf(__VA_ARGS__)
#define edebug(...) fprintf(stderr, __VA_ARGS__)
#else
#define debug(...)
#define edebug(...)
#endif
#define int ll
#define rep(i, x, y) for(int i = x; i <= y; ++i)
#define nrep(i, x, y) for(int i = x; i >= y; --i)
#define ll long long
#define pii std::pair<int,int>
#define pb emplace_back
#define fi first
#define se second
template <class T> 
inline void ckmax(T &a, T b) {
  if(a < b) a = b;
}
template <class T> 
inline void ckmin(T &a, T b) {
  if(a > b) a = b;
}
auto rt_YES = []{puts("YES");};
auto rt_Yes = []{puts("Yes");};
auto rt_NO = []{puts("NO");};
auto rt_No = []{puts("No");};
namespace IO {
#define isdigit(x) (x >= '0' && x <= '9')
  inline char gc() {
    return getchar();
  }
  inline bool blank(char ch) {
    return ch == ' ' || ch == '\n' || ch == '\r' || ch == '\t';
  }
  template <class T>
  inline void read(T &x) {
    double tmp = 1;
    bool sign = 0;
    x = 0;
    char ch = gc();
    for(; !isdigit(ch); ch = gc())
      if(ch == '-') sign = 1;
    for(; isdigit(ch); ch = gc())
      x = x * 10 + (ch - '0');
    if(ch == '.')
      for(ch = gc(); isdigit(ch); ch = gc())
        tmp /= 10.0, x += tmp * (ch - '0');
    if(sign) x = -x;
  }
  inline void read(char *s) {
    char ch = gc();
    for(; blank(ch); ch = gc());
    for(; !blank(ch); ch = gc())
      *s++ = ch;
    *s = 0;
  }
  inline void read(char &c) {
    for(c = gc(); blank(c); c = gc());
  }
  inline void push(const char &c) {
    putchar(c);
  }
  template <class T>
  inline void print(T x) {
    if(x < 0) {
      x = -x;
      push('-');
    }
    static T sta[35];
    T top = 0;
    do {
      sta[top++] = x % 10;
      x /= 10;
    } while(x);
    while(top)
      push(sta[--top] + '0');
  }
  template <class T>
  inline void print(T x, char lastChar) {
    print(x);
    push(lastChar);
  }
}
using namespace IO;

constexpr int mod=9983244353;
int n,m;
int a[20000],b[20000],c[20000];
bool f[24][16777216];
signed g[16777216];
int A[2][24],color[24],vis[24];
std::vector<int>e[24];
int dfs(int u,int c){
  // debug("dfs %lld %lld\n",u,c);
  vis[u]=1;
  int S=0;
  if(c)S=(1<<u);
  for(int i:e[u]){
    // debug("go %lld %lld\n",i,color[i]);
    if(color[i]!=-1&&color[i]!=c)return -1;
    if(color[i]==-1){
      color[i]=c;
      int T=dfs(i,c^1);
      if(T==-1)return -1;
      S|=T;
    }
  }
  return S;
}

signed main() {
  clock_t c1 = clock();
#ifdef LOCAL
  freopen("in.in", "r", stdin);
  freopen("out.out", "w", stdout);
#endif
//------------------------------------------------------------------

  read(n),read(m);
  rep(i,1,m)read(a[i]),read(b[i]),read(c[i]),a[i]--,b[i]--,c[i]--;
  rep(i,0,n-1){
    rep(j,0,n-1)e[j].clear();
    memset(A,0,sizeof(A));
    memset(vis,0,sizeof(vis));
    rep(j,1,m)if(b[j]==i)e[a[j]].pb(c[j]),e[c[j]].pb(a[j]);
    int sum=0;
    std::vector<int>S,T;//S.pb(0);
    rep(j,0,n-1)if(j!=i&&!vis[j]){
      ++sum;
      memset(color,-1,sizeof(color));
      int t=dfs(j,0);
      if(t==-1){puts("0");return 0;}
      A[0][sum-1]=t;
      memset(color,-1,sizeof(color));
      t=dfs(j,1);
      A[1][sum-1]=t;
      // debug("%lld %lld\n",A[0][sum-1],A[1][sum-1]);
      if(sum==1)S.pb(A[0][sum-1]),S.pb(A[1][sum-1]);
      else{
        for(int k:S){
          T.pb(k|A[0][sum-1]);
          T.pb(k|A[1][sum-1]);
        }
        // for(int i:T)S.pb(i);
        S.swap(T);
        T.clear();
      }
    }
    for(int k:S){
      f[i][k]=1;
      // print(k,' ');
    }//puts("");
  }
  g[0]=1;
  rep(i,0,(1<<n)-1)rep(j,0,n-1)if(f[j][i])
    g[i|(1<<j)]+=g[i],g[i|(1<<j)]%=mod;
  print(g[(1<<n)-1]);

//------------------------------------------------------------------
end:
  std::cerr << "Time : " << clock() - c1 << " ms" << std::endl;
  return 0;
}