#include #include #include #include using namespace std; // atcoder::static_modint

, P: prime number template struct acl_fac { std::vector facs, facinvs; acl_fac(int N) { assert(-1 <= N and N < modint::mod()); facs.resize(N + 1, 1); for (int i = 1; i <= N; i++) facs[i] = facs[i - 1] * i; facinvs.assign(N + 1, facs.back().inv()); for (int i = N; i > 0; i--) facinvs[i - 1] = facinvs[i] * i; } modint ncr(int n, int r) const { if (n < 0 or r < 0 or n < r) return 0; return facs[n] * facinvs[r] * facinvs[n - r]; } modint operator[](int i) const { return facs[i]; } modint finv(int i) const { return facinvs[i]; } }; using mint = atcoder::modint1000000007; int main() { int A, B, X, Y; cin >> A >> B >> X >> Y; acl_fac fac(A + B + X + Y); mint ret = 0; int nxplus = (B + 4) / 4; int nyplus = (B + 3) / 4; int nxminus = (B + 2) / 4; int nyminus = (B + 1) / 4; for (int xplus = 0; xplus <= A; xplus++) { int xminus = xplus - X; int rem = A - xplus - xminus; int yplus = (rem + Y) / 2; int yminus = (rem - Y) / 2; if (xminus < 0 or yplus < 0 or yminus < 0 or yplus - yminus != Y) continue; if (xplus + xminus + yplus + yminus != A) continue; if (!nyplus and yplus) continue; if (!nxminus and xminus) continue; if (!nyminus and yminus) continue; mint tmp = 1; if (xplus) tmp *= fac.ncr(nxplus - 1 + xplus, xplus); if (yplus) tmp *= fac.ncr(nyplus - 1 + yplus, yplus); if (xminus) tmp *= fac.ncr(nxminus - 1 + xminus, xminus); if (yminus) tmp *= fac.ncr(nyminus - 1 + yminus, yminus); ret += tmp; } cout << ret.val() << '\n'; }