#include //#include using namespace std; //using namespace atcoder; //using mint = modint1000000007; typedef long long ll; #define FOR(I,A,B) for(ll I = ll(A); I < ll(B); ++I) class comb{ vector f,fr; ll MOD_; public: //a^(p-1) = 1 (mod p)(p->Prime numbers) //a^(p-2) = a^(-1) ll calc(ll a,ll b,ll p){//a^(b) mod p if(b==0)return 1; ll y = calc(a,b/2,p);y=(y*y)%p; if(b & 1) y = (y * a) % p; return y; } void init(ll n,ll mod){//input max_n MOD_ = mod; f.resize(n+1); fr.resize(n+1); f[0]=fr[0]=1; for(ll i=1;i=0;i--){ fr[i] = fr[i+1] * (i+1) % mod; } } ll nCr(ll n,ll r){ if(n<0||r<0||n> N >> M; comb co; co.init(2*N+8,MOD); ll ans = 2LL * N * co.nCr(2*N,N) % MOD; FOR(i,0,M){ ll t,x,y; cin >> t >> x >> y; ll sub = co.nCr(x+y,x) * co.nCr((N-x)+(N-y)-1,(N-x)-(t==1)) % MOD; ( ans += MOD - sub ) %= MOD; } cout << ans << endl; }