#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include typedef long long ll; using namespace std; #ifndef LOCAL #define debug(x) ; #else #define debug(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl; template ostream &operator<<(ostream &out, const pair &p) { out << "{" << p.first << ", " << p.second << "}"; return out; } template ostream &operator<<(ostream &out, const vector &v) { out << '{'; for (const T &item : v) out << item << ", "; out << "\b\b}"; return out; } #endif #define mod 1000000007 //1e9+7(prime number) #define INF 1000000000 //1e9 #define LLINF 2000000000000000000LL //2e18 #define SIZE 200010 vector factmemo, factmemoInv; ll factmemoMod = -1; ll factorial(int n, int M){ if(factmemoMod == M) return factmemo[n]; if(n <= 1) return 1; ll res = 1; for(int i=1; i<=n; i++) res = res * i % M; return res; } ll power(int k, int n, int M){ if(n == 0) return 1; if(n == 1) return (ll)k; ll res = power(k, n/2, M); res = res * res % M; return n%2 == 1 ? res * k % M : res; } void initFactorial(int n, int M){ factmemo.assign(n+1, 0); factmemoInv.assign(n+1, 0); factmemoMod = M; factmemo[0] = 1; for(int i=1;i<=n;i++) factmemo[i] = factmemo[i-1] * i % M; factmemoInv[n] = power(factmemo[n], M-2, M); for(int i=n;i>0;i--) factmemoInv[i-1] = factmemoInv[i] * i % M; } //nCm nPm nHm (mod M) /*Combination*/ ll C(int n, int m, int M){ if(n < m) return 0; if(m == 0 || n == m) return 1; if(factmemoMod == M) return factmemo[n] * factmemoInv[m] % M * factmemoInv[n-m] % M; ll numer = factorial(n, M); ll denom = factorial(m, M) * factorial(n-m, M) % M; denom = power((int)denom, M-2, M); return numer * denom % M; } /*Permutation*/ ll P(int n, int m, int M){ if(n < m) return 0; if(m == 0) return 1; if(factmemoMod == M) return factmemo[n] * factmemoInv[n-m] % M; ll numer = factorial(n, M); ll denom = factorial(n-m, M); denom = power((int)denom, M-2, M); return numer * denom % M; } /*Combination with Repetitions*/ ll H(int n, int m, int M){ if(n == 0 && m == 0) return 1; return C(n+m-1, m, M); } int main(){ ll N, M, D1, D2; cin >> N >> M >> D1 >> D2; if(M < D1 * (N - 1)) { cout << 0 << endl; return 0; } M --; M -= D1 * (N - 1); D2 -= D1; ll ans = 0; int sign = 1; debug(M); debug(D2); for(int i=0;i