#include #include using namespace std; using namespace atcoder; //using mint = modint998244353; using mint = modint1000000007; using ll = long long; using ld = long double; using pll = pair; using tlll = tuple; constexpr ll INF = 1LL << 60; template bool chmin(T& a, T b) {if (a > b) {a = b; return true;} return false;} template bool chmax(T& a, T b) {if (a < b) {a = b; return true;} return false;} ll safemod(ll A, ll M) {return (A % M + M) % M;} ll divfloor(ll A, ll B) {if (B < 0) {return divfloor(-A, -B);} return (A - safemod(A, B)) / B;} ll divceil(ll A, ll B) {if (B < 0) {return divceil(-A, -B);} return divfloor(A + B - 1, B);} #define FINALANS(A) do {cout << (A) << '\n'; exit(0);} while (false) class mintcombination { public: vector fac, finv, inv; mintcombination(ll M) { fac.resize(M + 1); finv.resize(M + 1); inv.resize(M + 1); fac.at(0) = 1, finv.at(0) = 1; fac.at(1) = 1, finv.at(1) = 1, inv.at(1) = 1; for (ll i = 2; i <= M; i++) { fac.at(i) = fac.at(i - 1) * i; inv.at(i) = mint::mod() - inv.at(mint::mod() % i) * (mint::mod() / i); finv.at(i) = finv.at(i - 1) * inv.at(i); } } mint P(ll N, ll K) { if (N < K) return 0; if (N < 0 || K < 0) return 0; return fac.at(N) * finv.at(N - K); } mint C(ll N, ll K) { if (N < K) return 0; if (N < 0 || K < 0) return 0; return fac.at(N) * finv.at(K) * finv.at(N - K); } mint H(ll N, ll K) { return C(N + K - 1, K); } }; int main() { ll A, B, X, Y; cin >> A >> B >> X >> Y; if (safemod(X + Y, 2) != A % 2) FINALANS(0); ll spR = (B + 1) / 4 + ((B + 1) % 4 >= 1 ? 1 : 0); ll spU = (B + 1) / 4 + ((B + 1) % 4 >= 2 ? 1 : 0); ll spL = (B + 1) / 4 + ((B + 1) % 4 >= 3 ? 1 : 0); ll spD = (B + 1) / 4; //cerr << spR << " " << spU << " " << spL << " " << spD << " " << endl; mintcombination com(A + B + 10); mint ans = 0; for (ll R = 0; R <= A; R++) { ll L = R - X; ll U = (A + X + Y - 2 * R) / 2; ll D = (A + X - Y - 2 * R) / 2; if (L < 0 || U < 0 || D < 0) continue; //cerr << R << " " << U << " " << L << " " << D << " " << endl; mint tmp = 1; if (spR > 0) tmp *= com.C(R + spR - 1, R); if (spU > 0) tmp *= com.C(U + spU - 1, U); if (spL > 0) tmp *= com.C(L + spL - 1, L); if (spD > 0) tmp *= com.C(D + spD - 1, D); ans += tmp; } cout << ans.val() << endl; }