#include using namespace std; typedef long long ll; typedef pair p_ll; template void debug(T itr1, T itr2) { auto now = itr1; while(now=0; i--) #define popcount __builtin_popcount const ll LLINF = pow(2,61)-1; const ll INF = pow(2,30)-1; ll gcd(ll a, ll b) { if (a (const MLL &p) const { return x> p.x; } bool operator>= (const MLL &p) const { return x>=p.x; } MLL pow(MLL n) const { MLL result(1), p(x); ll tn = n.x; while(tn){ if (tn&1) result*=p; p*=p; tn>>=1; } return result; } MLL inv() const { return pow(MOD-2); } }; MLL operator+ (ll x, MLL p) { return (MLL)x+p; } MLL operator- (ll x, MLL p) { return (MLL)x-p; } MLL operator* (ll x, MLL p) { return (MLL)x*p; } MLL operator/ (ll x, MLL p) { return (MLL)x/p; } vector fac; void c_fac(ll x=pow(10,7)+10) { fac.resize(x); rep(i,x) fac[i] = i ? fac[i-1]*i : 1; } MLL nck(MLL n, MLL k) { return fac[n.x]/(fac[k.x]*fac[(n-k).x]); }; ostream &operator<< (ostream &ost, const MLL &p) { return ost << p.x; } istream &operator>> (istream &ist, MLL &p) { return ist >> p.x; } // ---------------------------------------------------------------------- // ---------------------------------------------------------------------- int main() { MLL N, M; cin >> N >> M; MLL t[M.x], x[M.x], y[M.x]; rep(i,M.x) cin >> t[i] >> x[i] >> y[i]; c_fac(); MLL result = N * 2 * nck(N*2,N); rep(i,M.x) { MLL tx = t[i]==1 ? N-(x[i]+1) : N-x[i]; MLL ty = t[i]==1 ? N-y[i] : N-(y[i]+1); result -= nck(x[i]+y[i],x[i]) * nck(tx+ty,tx); } cout << result << endl; return 0; }