//#define _GLIBCXX_DEBUG

//#pragma GCC target("avx2")
//#pragma GCC optimize("O3")
//#pragma GCC optimize("unroll-loops")

#include<bits/stdc++.h>
using namespace std;


#ifdef LOCAL
#include <debug_print.hpp>
#define OUT(...) debug_print::multi_print(#__VA_ARGS__, __VA_ARGS__)
#else
#define OUT(...) (static_cast<void>(0))
#endif

#define endl '\n'
#define lfs cout<<fixed<<setprecision(15)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define UNIQUE(a) (a).erase(unique((a).begin(),(a).end()),(a).end())
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};  
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << "(" << p.first << "," << p.second << ")";}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){os<<"[";for(auto &z:v)os << z << ",";os<<"]"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],i)<make_pair(v[j],j);});
  return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return make_pair(v[i],-i)>make_pair(v[j],-j);});
  return ord;
}
template<typename T> vector<T> inv_perm(const vector<T>&ord){
  vector<T>inv(ord.size());
  for(int i=0;i<ord.size();i++)inv[ord[i]] = i;
  return inv;
}
ll FLOOR(ll n,ll div){assert(div>0);return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;}
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
ll modulo(ll n,ll d){return (n%d+d)%d;};
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;}
ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;}
ll POW(ll x, ll k){ll ret=1;for(int i=0;i<k;i++){if(LLONG_MAX/x<=ret)return LLONG_MAX;ret*=x;}return ret;}
std::ostream &operator<<(std::ostream &dest, __int128_t value) {
  std::ostream::sentry s(dest);
  if (s) {
    __uint128_t tmp = value < 0 ? -value : value;
    char buffer[128];
    char *d = std::end(buffer);
    do {
      --d;
      *d = "0123456789"[tmp % 10];
      tmp /= 10;
    } while (tmp != 0);
    if (value < 0) {
      --d;
      *d = '-';
    }
    int len = std::end(buffer) - d;
    if (dest.rdbuf()->sputn(d, len) != len) {
      dest.setstate(std::ios_base::badbit);
    }
  }
  return dest;
}
namespace converter{
  int dict[500];
  const string lower="abcdefghijklmnopqrstuvwxyz";
  const string upper="ABCDEFGHIJKLMNOPQRSTUVWXYZ";
  const string digit="0123456789";
  const string digit1="123456789";
  void regi_str(const string &t){
    for(int i=0;i<t.size();i++){
      dict[t[i]]=i;
    }
  }
  void regi_int(const string &t){
    for(int i=0;i<t.size();i++){
      dict[i]=t[i];
    }
  }
  vector<int>to_int(const string &s,const string &t){
    regi_str(t);
    vector<int>ret(s.size());
    for(int i=0;i<s.size();i++){
      ret[i]=dict[s[i]];
    }
    return ret;
  }
  vector<int>to_int(const string &s){
    auto t=s;
    sort(t.begin(),t.end());
    t.erase(unique(t.begin(),t.end()),t.end());
    return to_int(s,t);
  }
  
  vector<vector<int>>to_int(const vector<string>&s,const string &t){
    regi_str(t);
    vector<vector<int>>ret(s.size(),vector<int>(s[0].size()));
    for(int i=0;i<s.size();i++){
      for(int j=0;j<s[0].size();j++){
        ret[i][j]=dict[s[i][j]];
      }
    }
    return ret;
  }
  vector<vector<int>>to_int(const vector<string>&s){
    string t;
    for(int i=0;i<s.size();i++){
      t+=s[i];
    }
    sort(t.begin(),t.end());t.erase(unique(t.begin(),t.end()),t.end());
    return to_int(s,t);
  }
  string to_str(const vector<int>&s,const string &t){
    regi_int(t);
    string ret;
    for(auto z:s)ret+=dict[z];
    return ret;
  }
  vector<string> to_str(const vector<vector<int>>&s,const string &t){
    regi_int(t);
    vector<string>ret(s.size());
    for(int i=0;i<s.size();i++){
      for(auto z:s[i])ret[i]+=dict[z];
    }
    return ret;
  }
}
template< typename T = int >
struct edge {
  int to;
  T cost;
  int id;
  edge():to(-1),id(-1){};
  edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
  operator int() const { return to; }
};

template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T>revgraph(const Graph<T> &g){
  Graph<T>ret(g.size());
  for(int i=0;i<g.size();i++){
    for(auto e:g[i]){
      int to = e.to;
      e.to = i;
      ret[to].push_back(e);
    }
  }
  return ret;
}
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
  Graph<T> ret(n);
  for(int es = 0; es < m; es++){
    int u,v;
    T w=1;
    cin>>u>>v;u-=indexed,v-=indexed;
    if(weighted)cin>>w;
    ret[u].emplace_back(v,w,es);
    if(!directed)ret[v].emplace_back(u,w,es);
  }
  return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
  Graph<T>ret(n);
  for(int i=1;i<n;i++){
    int p;cin>>p;
    p-=indexed;
    ret[p].emplace_back(i);
    if(!directed)ret[i].emplace_back(p);
  }
  return ret;
}
struct UnionFind {
  vector<ll> data;
  ll num;
  UnionFind(ll size) : data(size, -1) ,num(size){ }
  bool unite(int x, int y) {
    x = root(x); y = root(y);
    if (x != y) {
      if (data[y] < data[x]) swap(x, y);
      data[x] += data[y]; data[y] = x;
	  num--;
    }
    return x != y;
  }
  bool find(int x, int y) {
    return root(x) == root(y);
  }
  int root(int x) {
    return data[x] < 0 ? x : data[x] = root(data[x]);
  }
  ll size(int x) {
    return -data[root(x)];
  }
  vector<vector<int>>groups(){
    vector<vector<int>>ret(data.size());
    for(int i=0;i<data.size();i++){
      ret[root(i)].push_back(i);
    }
    return ret;
  }
  void print(){
    auto tmp=groups();
    for(int i=0;i<data.size();i++){
      if(!tmp[i].empty()){
        for(auto z:tmp[i])cout<<z<<",";
        cout<<endl;
      }
    }
  }
};
struct RandomNumberGenerator {
  mt19937_64 mt;

  RandomNumberGenerator() : mt(chrono::steady_clock::now().time_since_epoch().count()) {}
  RandomNumberGenerator(int x) : mt(x){
    cout<<"-----debug-----"<<endl;
  }
  ll operator()(ll a, ll b) { // [a, b)
    uniform_int_distribution< ll > dist(a, b - 1);
    return dist(mt);
  }

  ll operator()(ll b) { // [0, b)
    return (*this)(0, b);
  }
};

struct RollbackUnionFind {
  vector<int> data;
  stack<pair<int, int> > history;
  int inner_snap;

  RollbackUnionFind(int sz) : inner_snap(0) { data.assign(sz, -1); }

  bool unite(int x, int y) {
    x = find(x), y = find(y);
    history.emplace(x, data[x]);
    history.emplace(y, data[y]);
    if (x == y) return false;
    if (data[x] > data[y]) swap(x, y);
    data[x] += data[y];
    data[y] = x;
    return true;
  }

  int find(int k) {
    if (data[k] < 0) return k;
    return find(data[k]);
  }

  int same(int x, int y) { return find(x) == find(y); }

  int size(int k) { return (-data[find(k)]); }

  void undo() {
    data[history.top().first] = history.top().second;
    history.pop();
    data[history.top().first] = history.top().second;
    history.pop();
  }

  void snapshot() { inner_snap = int(history.size() >> 1); }

  int get_state() { return int(history.size() >> 1); }

  void rollback(int state = -1) {
    if (state == -1) state = inner_snap;
    state <<= 1;
    assert(state <= (int)history.size());
    while (state < (int)history.size()) undo();
  }
};

/**
 * @brief RollbackつきUnion Find
 * @docs docs/data-structure/rollback-union-find.md
 */
RandomNumberGenerator rng;
template<class Key, class Value, class Hash>
struct hash_map {
  using size_type = std::size_t;
  using key_type = Key;
  using value_type = Value;
  using pair_type = std::pair<key_type, value_type>;

  enum class State: std::uint8_t {
    INACTIVE,
    ACTIVE,
    FILLED
  };

  Hash hashf;

  std::vector<State> st;
  std::vector<pair_type> bck;
  size_type mask;
  size_type prode;
  size_type sz;
  size_type min_elem;
  hash_map():
    mask(0), prode(-1), sz(0), min_elem(0) {
  }

  size_type find_empty(const key_type& key) {
    size_type h = hashf(key);
    for(size_type delta = 0;;delta++) {
      size_type i = (h + delta) & mask;
      if(st[i] != State::FILLED) {
        if(prode < delta) prode = delta;
        return i;
      }
    }
  }

  size_type find_filled(const key_type& key) {
    if(sz == 0) return size_type(-1);
    size_type h = hashf(key);
    for(size_type delta = 0; delta <= prode; delta++) {
      size_type i = (h + delta) & mask;
      if(st[i] == State::FILLED) {
        if(bck[i].first == key) {
          return i;
        }
      }
      else if(st[i] == State::INACTIVE) {
        return size_type(-1);
      }
    }
    return size_type(-1);
  }

  size_type find_or_allocate(const key_type& key) {
    size_type h = hashf(key);
    size_type hole = size_type(-1);
    size_type delta = 0;
    for(; delta <= prode; delta++) {
      size_type i = (h + delta) & mask;
      if(st[i] == State::FILLED) {
        if(bck[i].first == key) return i;
      }
      else if(st[i] == State::INACTIVE) return i;
      else {
        if(hole == size_type(-1)) {
          hole = i;
        }
      }
    }
    if(hole != size_type(-1)) return hole;
    for(; ; delta++) {
      size_type i = (h + delta) & mask;
      if(st[i] != State::FILLED) {
        prode = delta;
        return i;
      }
    }
  }

  void reserve(int next_cnt) {
    size_type required_cnt = next_cnt + (next_cnt >> 1) + 1;
    if(required_cnt > bck.size()) {
      next_cnt = 4;
      while(next_cnt < required_cnt) next_cnt <<= 1;
    }
    else if(next_cnt <= bck.size() / 4) {
      next_cnt = std::max(4, (int)bck.size() / 2);
    }
    else {
      return;
    }
    std::vector<State> old_st(next_cnt, State::INACTIVE);
    std::vector<pair_type> old_bck(next_cnt);

    std::swap(old_st, st);
    std::swap(old_bck, bck);
    mask = next_cnt - 1;
    sz = 0;
    prode = 0;
    min_elem = next_cnt - 1;


    for(size_type pos = 0; pos < old_bck.size(); pos++) {
      if(old_st[pos] == State::FILLED) {
        size_type i = find_empty(old_bck[pos].first);
        st[i] = State::FILLED;
        bck[i] = std::move(old_bck[pos]);
        min_elem = std::min(min_elem, i);
        sz += 1;
      }
    }
  }

  void insert(const key_type& key, const value_type& val) {
    reserve(sz + 1);
    size_type i = find_or_allocate(key);
    if(st[i] != State::FILLED) {
      st[i] = State::FILLED;
      bck[i] = pair_type(key, val);
      min_elem = std::min(min_elem, i);
      sz++;
    }
    else {
      bck[i] = pair_type(key, val);
    }
  }

  bool erase(const key_type& key) {
    size_type i = find_filled(key);
    if(i == size_type(-1)) {
      return false;
    }
    else {
      st[i] = State::ACTIVE;
      bck[i].~pair_type();
      sz--;
      return true;
    }
  }

  pair_type* get(const key_type& key) {
    size_type i = find_filled(key);
    if(i == size_type(-1)) {
      return nullptr;
    }
    else {
      return &bck[i];
    }
  }

  pair_type* get_or_insert(const key_type& key, const value_type val) {
    reserve(sz + 1);
    size_type i = find_or_allocate(key);
    if(st[i] != State::FILLED) {
      st[i] = State::FILLED;
      bck[i] = pair_type(key, val);
      min_elem = std::min(min_elem, i);
      sz++;
    }
    return &bck[i];
  }

  pair_type get_and_erase(const key_type& key) {
    size_type i = find_filled(key);
    st[i] = State::ACTIVE;
    pair_type p = std::move(bck[i]);
    sz--;
    return p;
  }


  template<class Func>
  void search_all(Func func) {
    for(size_type i = min_elem; i < bck.size(); i++) {
      if(st[i] == State::FILLED) {
        min_elem = i;
        size_type res = func(bck[i]);
        if(res & 0b10) {
          st[i] = State::ACTIVE;
          bck[i].~pair_type();
          sz--;
        }
        if(res & 0b01) {
           return;
        }
      }
    }
  }

  size_type size() const { return sz; }
};


struct Hashu32 {
  std::uint32_t operator()(std::uint32_t key) {
    int c2=0x27d4eb2d; // a prime or an odd constant
    key = (key ^ 61) ^ (key >> 16);
    key = key + (key << 3);
    key = key ^ (key >> 4);
    key = key * c2;
    key = key ^ (key >> 15);
    return key;
  }
};

struct Hashu64 {
  std::size_t operator()(std::uint64_t key) {
    key = (~key) + (key << 18); // key = (key << 18) - key - 1;
    key = key ^ (key >> 31);
    key = key * 21; // key = (key + (key << 2)) + (key << 4);
    key = key ^ (key >> 11);
    key = key + (key << 6);
    key = key ^ (key >> 22);
    return (int) key;
  }

};
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  int n,m;cin>>n>>m;
  Graph<int>g(n);
  ll ret=0;
  vector<ll>hash(n);
  rep(i,0,n)hash[i]=rng(2LL,1LL<<62);
  hash_map<ll,int,Hashu64>st;
  rep(i,0,m){
    int u,v,c;cin>>u>>v>>c;u--;v--;
    g[u].EB(v,1,c);
    g[v].EB(u,1,c);
  }
  RollbackUnionFind uf(n);
  uf.snapshot();
  rep(i,0,n){
    vector<int>ver;
    auto dfs=[&](auto &&f,int v)->void {
      ver.PB(v);
      ll h=0;
      for(auto z:ver)h^=hash[z];
      if(st.get(h)==nullptr){
        st.insert(h,1);
        bool comp=true;
        rep(c,0,2){
          for(auto z:ver){
            for(auto e:g[z]){
              if(e.id==c&&count(ALL(ver),e.to)){
                uf.unite(z,e.to);
              }
            }
          }
          for(auto z:ver){
            if(!uf.same(z,ver[0]))comp=false;
          }
          uf.rollback();
        }
        //OUT(ver,comp);
        if(comp)ret++;
      }
      if(ver.size()<4){
        for(auto to:g[v]){
          if(count(ALL(ver),to))continue;
          f(f,to);
        }
      }
      ver.pop_back();
    };
    dfs(dfs,i);
  }
  cout<<ret%MOD9%MOD9%MOD9%MOD9<<endl;
  return 0;
}