mod = 10 ** 9 + 7 U = 2 * 10 ** 6 class Combination: """ SIZEが10**6程度以下の二項係数を何回も呼び出したいときに使う 使い方: comb = Combination(SIZE, MOD) comb(10, 3) => 120 """ def __init__(self, N, MOD=10 ** 9 + 7): self.MOD = MOD self.__make_factorial_list(N) def __call__(self, n, k): if k < 0 or k > n: return 0 res = self.fact[n] * self.inv[k] % self.MOD res = res * self.inv[n - k] % self.MOD return res def nPk(self, n, k): if k < 0 or k > n: return 0 return self.fact[n] * self.inv[n - k] % self.MOD def nHk(self, n, k): if k == 0: return 1 return self.__call__(n + k - 1, k) def __make_factorial_list(self, N): self.fact = [1] * (N + 1) self.inv = [1] * (N + 1) MOD = self.MOD for i in range(1, N + 1): self.fact[i] = (self.fact[i - 1] * i) % MOD self.inv[N] = pow(self.fact[N], MOD - 2, MOD) for i in range(N, 0, -1): self.inv[i - 1] = (self.inv[i] * i) % MOD return def main(): A, B, X, Y = map(int, input().split()) if (X + Y + A) % 2 == 1 or A < abs(X) + abs(Y): return 0 tmp = [B // 4] * 4 for i in range(B % 4): tmp[i] += 1 move = [1, 0, 0, 0] for i in range(4): move[(i + 1) % 4] += tmp[i] comb = Combination(U + 5, mod) ans = 0 absX = abs(X) absY = abs(Y) for i in range(absX, A + 1, 2): j = A - i if j < absY: break tmp = 1 ok = (i + absX) // 2 ng = (i - absX) // 2 if X < 0: ok, ng = ng, ok tmp = tmp * comb(ok + move[0] - 1, ok) % mod if ng: tmp = tmp * comb(ng + move[2] - 1, ng) % mod ok = (j + absY) // 2 ng = (j - absY) // 2 if Y < 0: ok, ng = ng, ok tmp = tmp * comb(ok + move[1] - 1, ok) % mod if ng: tmp = tmp * comb(ng + move[3] - 1, ng) % mod ans = (ans + tmp) % mod return ans print(main())