#include using namespace std; #define rep(i, a) for (int i = 0; i < (int)(a); i++) #define sz(x) (int)(x).size() #define pcnt __builtin_popcountll typedef long long ll; templateistream& operator>>(istream&i,vector&v){rep(j,sz(v))i>>v[j];return i;} templatestring join(const vector&v){stringstream s;rep(i,sz(v))s<<' '<ostream& operator<<(ostream&o,const vector&v){if(sz(v))o<istream& operator>>(istream&i,pair&v){return i>>v.first>>v.second;} templateostream& operator<<(ostream&o,const pair&v){return o<bool mins(T& x,const T&y){if(x>y){x=y;return true;}else return false;} templatebool maxs(T& x,const T&y){if(xT dup(T x, T y){return (x+y-1)/y;} templatell suma(const vector&a){ll res(0);for(auto&&x:a)res+=x;return res;} int keta(ll n) { int ret = 0; while (n>0) { n/=10; ret++; } return ret; } #ifdef _DEBUG inline void dump() { cerr << endl; } template void dump(Head &&head) { cerr << head; dump(); } template void dump(Head &&head, Tail &&... tail) { cerr << head << ", "; dump(forward(tail)...); } #define debug(...) do { cerr << __LINE__ << ":\t" << #__VA_ARGS__ << " = "; dump(__VA_ARGS__); } while (false) #else #define dump(...) #define debug(...) #endif template struct edge { int src, to; T cost; edge(int to, T cost) : src(-1), to(to), cost(cost) {} edge(int src, int to, T cost) : src(src), to(to), cost(cost) {} edge &operator=(const int &x) { to = x; return *this; } operator int() const { return to; } }; template using Edges = vector>; template using WeightedGraph = vector>; using UnWeightedGraph = vector>; const ll LINF = 1LL << 60; const int INF = 1001001001; ///////////////////////////////////////////////////////////////////// template struct ModInt { ll x; ModInt(ll x=0):x((x%mod+mod)%mod){} ModInt operator-() const { return ModInt(-x); } ModInt& operator+=(const ModInt a) { if ((x += a.x) >= mod) x -= mod; return *this; } ModInt& operator-=(const ModInt a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } ModInt& operator*=(const ModInt a) { (x *= a.x) %= mod; return *this; } ModInt operator+(const ModInt a) const { return ModInt(*this)+=a; } ModInt operator-(const ModInt a) const { return ModInt(*this)-=a; } ModInt operator*(const ModInt a) const { return ModInt(*this)*=a; } ModInt pow(ll t) const { if (!t) return 1; ModInt a = *this, r = 1; while (t) { if (t & 1) r *= a; a *= a; t >>= 1; } return r; } ModInt inv() const { ll a = x; ll b = mod; ll c = 1, d = 0; while (b) { ll t = a/b; a -= t*b; swap(a, b); c -= t*d; swap(c, d); } c %= mod; if (c < 0) c += mod; return c; } ModInt& operator/=(const ModInt a) { return (*this) *= a.inv(); } ModInt operator/(const ModInt a) const { return ModInt(*this)/=a; } bool operator==(const ModInt a) const { return x == a.x; } bool operator!=(const ModInt a) const { return x != a.x; } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.x; } friend istream &operator>>(istream &is, ModInt &a) { ll t; is >> t; a = ModInt(t); return (is); } }; const ll mod = 1000000007; using mint = ModInt; template struct Comb { vector fact, finv, inv; Comb(int n) : fact(n, 1), finv(n, 1), inv(n, 1) { init(n); } void init(int n) { n = min(n, mod); fact.assign(n, 1), finv.assign(n, 1), inv.assign(n, 1); for (ll i=2; i 0) { ret *= ncr(n%mod, r%mod); if (ret <= 0) break; n /= mod, r /= mod; } return ret; } T ncr(int n, int r) { if (n=mod) return lucas(n, r); return fact[n] * (finv[r] * finv[n-r] % mod) % mod; } T nhr(int n, int r) { return ncr(n+r-1, r); } T npr(int n, int r) { if (n com(400010); void solve() { ll n,m; cin>>n>>m; mint ans = com.nhr(n+1, n) * 2*n; rep(i, m) { ll t,x,y; cin>>t>>x>>y; if (t == 1) { mint a = com.nhr(x+1, y); mint b = com.nhr(n-x, n-y); mint c = a * b; ans -= c; } else { mint a = com.nhr(y+1, x); mint b = com.nhr(n-y, n-x); mint c = a * b; ans -= c; } } cout << ans << "\n"; } int main() { int t; t = 1; // cin>>t; while (t--) solve(); return 0; }