import sys from collections import defaultdict, Counter, deque from itertools import permutations, combinations, product, combinations_with_replacement, groupby, accumulate import operator from math import sqrt, gcd, factorial #from math import isqrt, prod, comb #python3.8用(notpypy) #from bisect import bisect_left, bisect_right #from functools import lru_cache, reduce #from heapq import heappush, heappop, heapify, heappushpop, heapreplace #import numpy as np #import networkx as nx #from networkx.utils import UnionFind #from numba import njit, b1, i1, i4, i8, f8 #numba例 @njit(i1(i4[:], i8[:, :]),cache=True) 引数i4配列、i8 2次元配列,戻り値i1 #from scipy.sparse import csr_matrix #from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, NegativeCycleError, maximum_bipartite_matching, maximum_flow, minimum_spanning_tree def input(): return sys.stdin.readline().rstrip() def divceil(n, k): return 1+(n-1)//k # n/kの切り上げを返す def yn(hantei, yes='Yes', no='No'): print(yes if hantei else no) class PrepereFactorial2: # maxnumまでの階乗を事前計算して、順列、組み合わせ、重複組み合わせを計算するクラス。逆元のテーブルもpow無しで前計算する。maxnumに比べて関数呼び出しが多いならこちら def __init__(self, maxnum=3*10**5, mod=10**9+7): self.factorial = [1]*(maxnum+1) modinv_table = [-1] * (maxnum+1) modinv_table[1] = 1 for i in range(2, maxnum+1): self.factorial[i] = (self.factorial[i-1]*i) % mod modinv_table[i] = (-modinv_table[mod % i] * (mod // i)) % mod self.invfactorial = [1]*(maxnum+1) for i in range(1, maxnum+1): self.invfactorial[i] = self.invfactorial[i-1]*modinv_table[i] % mod self.mod = mod def permutation(self, n, r): return self.factorial[n]*self.invfactorial[n-r] % self.mod def combination(self, n, r): return self.permutation(n, r)*self.invfactorial[r] % self.mod def combination_with_repetition(self, n, r): if n==0: if r==0: return 1 else: return 0 return self.combination(n+r-1, r) def main(): mod = 10**9+7 mod2 = 998244353 a,b,x,y=map(int, input().split()) pf=PrepereFactorial2(2*10**6+10) ans=0 xu=(b+4)//4 yu=(b+3)//4 xd=(b+2)//4 yd=(b+1)//4 for xnum in range(a+1): ynum = a-xnum if (xnum+x >= 0 and (xnum+x) % 2 == 0 and (xnum-x) >= 0 and (xnum-x) % 2==0 and ynum+y >= 0 and (ynum+y) % 2 == 0 and (ynum-y) >= 0 and (ynum-y) % 2==0): ans+=pf.combination_with_repetition(xu,(xnum+x)//2)*pf.combination_with_repetition(xd,(xnum-x)//2)%mod*pf.combination_with_repetition(yu,(ynum+y)//2)%mod*pf.combination_with_repetition(yd,(ynum-y)//2) print(ans%mod) if __name__ == '__main__': main()