#include // #include #define rng(a) a.begin(),a.end() #define rrng(a) a.rbegin(),a.rend() #define INF 2000000000000000000 #define ll long long #define ld long double #define pll pair using namespace std; templatebool chmax(T &a, const T &b) { if (abool chmin(T &a, const T &b) { if (b fac(MAX), finv(MAX), inv(MAX); bool init_called = false; //=============modcom============================ void COMinit() { init_called = true; fac.at(0) = 1; fac.at(1) = 1; finv.at(0) = 1; finv.at(1) = 1; inv.at(1) = 1; for (ll i = 2; i < MAX; i++){ fac.at(i) = fac.at(i - 1) * i % mod; inv.at(i) = mod - inv.at(mod % i) * (mod / i) % mod; finv.at(i) = finv.at(i - 1) * inv.at(i) % mod; } } ll COM(ll n, ll k){ if (!init_called) { COMinit(); } if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac.at(n) * (finv.at(k) * finv.at(n - k) % mod) % mod; } //================================================= int main() { ios::sync_with_stdio(false); cin.tie(nullptr); ll N, M; cin >> N >> M; ll ans = COM((N) * 2, N) * 2 * N % mod; for (ll i = 0; i < M; ++i) { ll t, x, y; cin >> t >> x >> y; ll lx = N - x, ly = N - y; if (t == 1) { lx -= 1; } else { ly -= 1; } ans -= COM(x + y, x) * COM(lx + ly, lx) % mod; ans %= mod; if (ans < 0) { ans += mod; } } cout << ans << "\n"; }