#include using namespace std; using i64 = int64_t; using ll = long long; using lint = long long; typedef vector vint; typedef pair pint; #define INF INT32_MAX / 2 #define INF64 INT64_MAX / 2 #define EPS 0.001 #define EPS14 1.0E-14 #define REP(i, n) for (ll i = 0; i < n; i++) #define all(x) (x).begin(),(x).end() #define rall(x) (x).rbegin(),(x).rend() #define ALL(f,c,...) (([&](decltype((c)) cccc) { return (f)(std::begin(cccc), std::end(cccc), ## __VA_ARGS__); })(c)) #define c(n) cout<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(ainline T sum(T n){return n*(n+1)/2;} map prime_fac(ll A) {mapmp;for(ll i=2;i*i<=A;i++){while(A%i== 0){mp[i]++;A/=i;}}if(A!=1){mp[A]=1;}return mp;} bool is_prime(ll N){if(N<=1)return false;for(ll i=2;i*i<=N;i++){if(N%i==0) return false;}return true;} templateinline T myceil(T a,T b){return (a+(b-1))/b;} ll pw(ll x, ll n){ll ret=1;while(n>0){if(n&1){ret*=x;}x *= x;n >>= 1;}return ret;} bool is_product_overflow(long long a,long long b) {long prod=a*b;return (prod/b!=a);} // modint: mod 計算を int を扱うように扱える構造体 template struct Fp { long long val; constexpr Fp(long long v = 0) noexcept : val(v % MOD) { if (val < 0) val += 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 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; } }; #define MD 1000000007 using mint = Fp; // 二項係数 const int MAX = 510000; // 問題ごとに変更する const int MOD = 1000000007; // 問題ごとに変更する long long 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 % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long 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] % MOD) % MOD; } int main() { ll N, M; cin >> N >> M; vector t(M), x(M), y(M); REP (i, M) cin >> t[i] >> x[i] >> y[i]; COMinit(); mint ans = COM(N*2, N); ans *= N*2; REP (i, M) { if (t[i] == 1) ans -= (COM(x[i] + y[i], x[i]) * COM((N-x[i]-1) + (N-y[i]), N-y[i])); else ans -= (COM(x[i] + y[i], x[i]) * COM((N-x[i]) + (N-y[i]-1), N-x[i])); } c(ans) }