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

// macros
#define pb emplace_back
#define mk make_pair
#define FOR(i, a, b) for(int i=(a);i<(b);++i)
#define rep(i, n) FOR(i, 0, n)
#define rrep(i, n) for(int i=((int)(n)-1);i>=0;i--)
#define irep(itr, st) for(auto itr = (st).begin(); itr != (st).end(); ++itr)
#define irrep(itr, st) for(auto itr = (st).rbegin(); itr != (st).rend(); ++itr)
#define whole(x) (x).begin(),(x).end()
#define sz(x) ((int)(x).size())
#define UNIQUE(v) v.erase(unique(v.begin(), v.end()), v.end())
#define bit(n) (1LL<<(n))
// functions
template <class T>bool chmax(T &a, const T &b){if(a < b){a = b; return 1;} return 0;}
template <class T>bool chmin(T &a, const T &b){if(a > b){a = b; return 1;} return 0;}
template <typename T> istream &operator>>(istream &is, vector<T> &vec){for(auto &v: vec)is >> v; return is;}
template <typename T> ostream &operator<<(ostream &os, const vector<T>& vec){for(int i = 0; i < vec.size(); i++){ os << vec[i]; if(i + 1 != vec.size())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_set<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T> ostream &operator<<(ostream &os, const unordered_multiset<T>& st){for(auto itr = st.begin(); itr != st.end(); ++itr){ os << *itr; auto titr = itr; if(++titr != st.end())os << " ";} return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const pair<T1, T2> &p){os << p.first << " " << p.second; return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}
template <typename T1, typename T2> ostream &operator<<(ostream &os, const unordered_map<T1, T2> &mp){for(auto itr = mp.begin(); itr != mp.end(); ++itr){ os << itr->first << ":" << itr->second; auto titr = itr; if(++titr != mp.end())os << " "; } return os;}
//  types
using ll = long long int;
using P = pair<int, int>;
// constants
const int inf = 1e9;
const ll linf = 1LL << 50;
const double EPS = 1e-10;
const int mod = 1000000007;
const int dx[4] = {-1, 0, 1, 0};
const int dy[4] = {0, -1, 0, 1};
// io
struct fast_io{
  fast_io(){ios_base::sync_with_stdio(false); cin.tie(0); cout << fixed << setprecision(20);}
} fast_io_;

vector<int> idx[310];
ll dp[2][310][310];

int main(int argc, char const* argv[])
{
  int n, m; cin >> n >> m;
  vector<int> l(m), r(m), c(m);
  rep(i, m){
    cin >> l[i] >> r[i] >> c[i], l[i]--, r[i]--;
    idx[r[i]].pb(i);
  }
  dp[0][0][0] = 1;
  for(auto e: idx[0]){
    if(c[e] != 1)dp[0][0][0] = 0;
  }
  rep(i, n - 1){
    rep(j, n + 1)rep(k, n + 1)dp[(i+1)&1][j][k] = 0;
    rep(j, i + 1){
      rep(k, i + 1){
        // r
        bool ok = true;
        for(auto e: idx[i+1]){
          int cnt = 1;
          if(l[e] <= j - 1)cnt++;
          if(l[e] <= k - 1)cnt++;
          if(cnt != c[e]){
            ok = false;
            break;
          }
        }
        if(ok){
          (dp[(i+1)&1][j][k] += dp[i&1][j][k]) %= mod;
        }
        // g
        ok = true;
        for(auto e: idx[i+1]){
          int cnt = 1;
          if(l[e] <= k - 1)cnt++;
          if(l[e] <= i)cnt++;
          if(cnt != c[e]){
            ok = false;
            break;
          }
        }
        if(ok){
          (dp[(i+1)&1][k][i+1] += dp[i&1][j][k]) %= mod;
        }
        // b
        ok = true;
        for(auto e: idx[i+1]){
          int cnt = 1;
          if(l[e] <= j - 1)cnt++;
          if(l[e] <= i)cnt++;
          if(cnt != c[e]){
            ok = false;
            break;
          }
        }
        if(ok){
          (dp[(i+1)&1][i+1][j] += dp[i&1][j][k]) %= mod;
        }
      }
    }
    /*rep(j, n + 1){
      rep(k, n + 1){
        cerr << i + 1 << " " << j << " " << k << " " << dp[(i+1)&1][j][k] << endl;
      }
    }*/
  }
  ll res = 0;
  rep(i, n + 1){
    rep(j, n + 1){
      res = (res + dp[(n+1)&1][i][j]) % mod;
    }
  }
  res = res * 3 % mod;
  cout << res << endl;
  return 0;
}


Measured memory_bytes: 1920