#include using ll = long long; using std::cin; using std::cout; using std::endl; std::mt19937 rnd(std::chrono::steady_clock::now().time_since_epoch().count()); template inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; } template inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; } const int inf = (int)1e9 + 7; const long long INF = 1LL << 60; template struct ModInt { int x; ModInt() : x(0) {} ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {} ModInt &operator+=(const ModInt &p) { if((x += p.x) >= mod) x -= mod; return *this; } ModInt &operator-=(const ModInt &p) { if((x += mod - p.x) >= mod) x -= mod; return *this; } ModInt &operator*=(const ModInt &p) { x = (int) (1LL * x * p.x % mod); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt(-x); } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return x == p.x; } bool operator!=(const ModInt &p) const { return x != p.x; } ModInt inverse() const { int a = x, b = mod, u = 1, v = 0, t; while(b > 0) { t = a / b; std::swap(a -= t * b, b); std::swap(u -= t * v, v); } return ModInt(u); } ModInt pow(int64_t n) const { ModInt ret(1), mul(x); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } friend std::ostream &operator<<(std::ostream &os, const ModInt &p) { return os << p.x; } friend std::istream &operator>>(std::istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod >(t); return (is); } static int get_mod() { return mod; } }; constexpr int mod = (int)1e9 + 7; using mint = ModInt; const int MAX = (int)1e6; mint fac[MAX], finv[MAX], inv[MAX]; 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] = -inv[mod % i] * (mod / i); finv[i] = finv[i - 1] * inv[i]; } } 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]; } mint LCOM(ll n, ll k) { if (n < k) return 0; if (n < 0 || k < 0) return 0; if (k > n / 2) k = n - k; mint res = 1; for (int i = 0; i < k; i++) res *= (n - i); res *= finv[k]; return res; } void solve() { COMinit(); int n, m; cin >> n >> m; mint res = COM(n + n, n) * (n + n); for (int i = 0; i < m; ++i) { int t, x, y; cin >> t >> x >> y; if(t == 1) { res -= COM(x + y, x) * COM(n - (x + 1) + n - y, n - y); } else { res -= COM(x + y, x) * COM(n - x + n - (y + 1), n - x); } } cout << res << "\n"; } int main() { std::cin.tie(nullptr); std::ios::sync_with_stdio(false); int kkt = 1; // cin >> kkt; while(kkt--) solve(); return 0; }