#include #include const int Mod = 1000000007; long long fact[2000001], fact_inv[2000001]; long long div_mod(long long x, long long y, long long z) { if (x % y == 0) return x / y; else return (div_mod((1 + x / y) * y - x, (z % y), y) * z + x) / y; } long long combination(int n, int k) { return fact[n] * fact_inv[k] % Mod * fact_inv[n-k] % Mod; } int main() { int A, B, X, Y; scanf("%d %d %d %d", &A, &B, &X, &Y); if (abs(X + Y) % 2 != A % 2 || abs(X) + abs(Y) > A) { printf("0\n"); fflush(stdout); return 0; } if (B == 0) { if (X == A && Y == 0) printf("1\n"); else printf("0\n"); fflush(stdout); return 0; } else if (B == 1) { if (X >= 0 && Y >= 0 && X + Y == A) printf("1\n"); else printf("0\n"); fflush(stdout); return 0; } else if (B == 2) { if (Y >= 0) printf("1\n"); else printf("0\n"); fflush(stdout); return 0; } int i; for (i = 1, fact[0] = 1; i <= A + B; i++) fact[i] = fact[i-1] * i % Mod; for (i = A + B - 1, fact_inv[A+B] = div_mod(1, fact[A+B], Mod); i >= 0; i--) fact_inv[i] = fact_inv[i+1] * (i + 1) % Mod; int r, l, u, d, sur = (A - abs(X) - abs(Y)) / 2; long long ans = 0; for (i = 0; i <= sur; i++) { if (X >= 0) { r = X + i; l = i; } else { r = i; l = -X + i; } if (Y >= 0) { u = Y + sur - i; d = sur - i; } else { u = sur - i; d = -Y + sur - i; } ans += combination(r + B / 4, r) * combination(u + (B - 1) / 4, u) % Mod * combination(l + (B - 2) / 4, l) % Mod * combination(d + (B - 3) / 4, d) % Mod; } printf("%lld\n", ans % Mod); fflush(stdout); return 0; }