#include #include using namespace std; using ll = long long; #define int ll #define rng(i, a, b) for (int i = int(a); i < int(b); i++) #define rep(i, b) rng(i, 0, b) #define ALL(a) (a).begin(), (a).end() template void chmax(t& a, u b) { if (a < b) a = b; } template void chmin(t& a, u b) { if (b < a) a = b; } template using vc = vector; template using vvc = vc>; using pi = pair; using vi = vc; using uint = unsigned; using ull = unsigned long long; int popcount(signed t) { return __builtin_popcount(t); } int popcount(ll t) { return __builtin_popcountll(t); } bool ispow2(int i) { return i && (i & -i) == i; } ll mask(int i) { return (ll(1) << i) - 1; } int lcm(int a, int b) { return a / __gcd(a, b) * b; } template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) v += MOD; } constexpr int getmod() { return MOD; } constexpr Fp operator-() const noexcept { return val ? MOD - val : 0; } constexpr Fp operator+(const Fp& r) const noexcept { return Fp(*this) += r; } constexpr Fp operator-(const Fp& r) const noexcept { return Fp(*this) -= r; } constexpr Fp operator*(const Fp& r) const noexcept { return Fp(*this) *= r; } constexpr Fp operator/(const Fp& r) const noexcept { return Fp(*this) /= r; } constexpr Fp& operator+=(const Fp& r) noexcept { val += r.val; if (val >= MOD) val -= MOD; return *this; } constexpr Fp& operator-=(const Fp& r) noexcept { val -= r.val; if (val < 0) val += MOD; return *this; } constexpr Fp& operator*=(const Fp& r) noexcept { val = val * r.val % MOD; return *this; } constexpr Fp& operator/=(const Fp& r) noexcept { long long a = r.val, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } val = val * u % MOD; if (val < 0) val += MOD; return *this; } constexpr bool operator==(const Fp& r) const noexcept { return this->val == r.val; } constexpr bool operator!=(const Fp& r) const noexcept { return this->val != r.val; } friend constexpr ostream& operator<<(ostream& os, const Fp& x) noexcept { return os << x.val; } friend constexpr istream& operator>>(istream& is, Fp& x) noexcept { return is >> x.val; } friend constexpr Fp modpow(const Fp& a, long long n) noexcept { if (n == 0) return 1; auto t = modpow(a, n / 2); t = t * t; if (n & 1) t = t * a; return t; } }; // 二項係数ライブラリ template struct BiCoef { vector fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); int MOD = fact_[0].getmod(); for (int i = 2; i < n; i++) { fact_[i] = fact_[i - 1] * i; inv_[i] = -inv_[MOD % i] * (MOD / i); finv_[i] = finv_[i - 1] * inv_[i]; } } constexpr T com(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n - k]; } constexpr T fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; const int MOD = 1000000007; using mint = Fp; signed main() { cin.tie(0); ios::sync_with_stdio(0); cout << fixed << setprecision(20); int n, m; cin >> n >> m; vc t(m), x(m), y(m); rep(i, m) cin >> t[i] >> x[i] >> y[i]; BiCoef bc; bc.init(200200); mint ans = bc.com(n + n, n); ans *= mint(2 * n); for (int i = 0; i < m; i++) { if (t[i] == 1) { // Type1 mint p1 = bc.com(x[i] + y[i], y[i]); mint p2 = bc.com((n - (x[i] + 1) + n - y[i]), n - y[i]); ans -= p1 * p2; } else { // Type2 mint p1 = bc.com(x[i] + y[i], y[i]); mint p2 = bc.com(n - x[i] + n - (y[i] + 1), n - (y[i] + 1)); ans -= p1 * p2; } ans += MOD; } cout << ans << endl; }