#include #include using namespace std; using namespace atcoder; using mint = modint1000000007; #define repd(i,a,b) for (int i=(a);i<(b);i++) #define rep(i,n) repd(i,0,n) #define all(x) (x).begin(),(x).end() #define SIZE(x) ll(x.size()) template inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; } template inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; } typedef long long ll; const long long INF = 1LL << 60; const long long MOD = 1000000007; typedef pair P; const int MAX = 10000000; mint fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i; inv[i] = MOD - inv[MOD%i] * (MOD / i); finv[i] = finv[i - 1] * inv[i]; } } // 二項係数計算 mint COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * finv[k] * finv[n - k]; } int main() { COMinit(); int N, M; cin >> N >> M; mint res = COM(2 * N, N); res *= 2 * N; rep(i, M) { int t, x, y; cin >> t >> x >> y; mint from = COM(x + y, x); if (t == 1) x++; else y++; mint to = COM(N - x + N - y, N - x); res -= from * to; } cout << res.val() << endl; return 0; }