#include #include using namespace std; #include #include #include #include #include #include #include #include #include #include #include using ll = long long; using ld = long double; const ll MOD1 = 1000000007; const ll MOD2 = 998244353; const ll LIMIT1 = 200010; const ll LIMIT2 = 500010; const ll LIMIT3 = 1000010; const int INF = ((1<<30)-1); const ll LLINF = (1LL<<60); const ld EPS = (1e-14); using cv = const void; using P = pair; #define rep(i,n) for((i)=0;(i)<(n);(i)++) #define per(i,n) for((i)=(n)-1;(i)>=0;(i)--) #define ALL(a) (a).begin(),(a).end() #define ALL2(a, n) (a),(a)+(n) template T max(T a,C b){ return std::max(a, (T)b); } template T min(T a,C b){ return std::min(a, (T)b); } template bool chmax(T &a,const C b){ if(a<(T)b){ a=(T)b;return true; } return false; } template bool chmin(T &a,const C b){ if((T)b char gl(const T a,const C b){ T bb = (T)b; if(abb) return '>'; else return '='; } int dx[8]={1,0,-1,0,1,-1,-1,1},dy[8]={0,1,0,-1,1,1,-1,-1}; ll modpow(ll a, ll n, ll mod) { ll res = 1; while (n > 0) { if (n & 1){ res *= a; if(mod>=1) res %= mod; } a *= a; if(mod>=1) a %= mod; n >>= 1; } return res; } void initialize(){ } #define modinv(a,mod) modpow((a),(mod)-2,(mod)) struct ModComb{ int MAX, MOD; vector fac, finv, inv; ModComb(int n = 510000, int m = 1000000007){ if(m==0) m = MOD1; else if(m==1) m = MOD2; fac.resize(n); finv.resize(n); inv.resize(n); MAX = n; MOD = m; init(); } // テーブルを作る前処理 void init() { 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; } } bool isERROR(int n){ if(n<0 || n>=MAX) return true; return false; } bool isERROR2(int n, int k){ if(n<0) return true; else if(n<0 || n>=MAX) return true; else if(k<0 || k>=MAX) return true; return false; } //階乗取得 ll FACT(int n){ if(isERROR(n)) return 0; return fac[n]; } //階乗の逆元 ll FACTinv(int n){ if(isERROR(n)) return 0; return finv[n]; } //二項係数計算 ll COM(int n, int k){ if(isERROR2(n, k)) return 0; return fac[n] * (finv[k] * finv[n-k] % MOD) % MOD; } //順列計算 ll PERM(int n, int k){ if(isERROR2(n, k)) return 0; return (fac[n] * finv[n-k]) % MOD; } //重複組み合わせ計算 ll nHr(int n, int k){ return COM(n+k-1,k); } int getMod(){ return MOD; } }; int main(void){ initialize(); ll n,m,i,j,k,result=0; string s; cin >> n >> m; ModComb mc(2*n+10, MOD1); result = 2*n; result *= mc.COM(2*n, n);//すべて有料の場合 result %= MOD1; vector t(m), x(m), y(m); rep(i,m){ cin >> t[i] >> x[i] >> y[i]; ll tmp = mc.COM(x[i]+y[i], x[i]); if(t[i]==1){ tmp *= mc.COM(2*n-x[i]-y[i]-1, n-y[i]); }else{ tmp *= mc.COM(2*n-x[i]-y[i]-1, n-x[i]); } tmp %= MOD1; result -= tmp; if(result<0) result+=MOD1; } cout << result << endl; return 0; }