#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--) const ll MOD = pow(10,9)+7; const ll LLINF = pow(2,61)-1; const int INF = pow(2,30)-1; vector fac; void c_fac(int x=pow(10,6)+10) { fac.resize(x,true); rep(i,x) fac[i] = i ? (fac[i-1]*i)%MOD : 1; } ll inv(ll a, ll m=MOD) { ll b = m, x = 1, y = 0; while (b!=0) { int d = a/b; a -= b*d; swap(a,b); x -= y*d; swap(x,y); } return (x+m)%m; } ll nck(ll n, ll k) { return fac[n]*inv(fac[k]*fac[n-k]%MOD)%MOD; } ll gcd(ll a, ll b) { if (a> N >> M >> D1 >> D2; M -= D1 * (N-1) + 1; D2 -= D1; // cout << N << " " << M << " " << D2 << endl; c_fac(); if (M<0) { cout << 0 << endl; return 0; } ll result = 0, pm = 1; rep(i,N) { if (M-(D2+1)*i<0) break; result = ((result+pm*nck(N-1,i)*nck(N+M-(D2+1)*i, M-(D2+1)*i))%MOD+MOD)%MOD; pm *= -1; // cout << result << endl; } cout << result << endl; return 0; }