class Combination: '''MOD上の 計算量:階乗・逆元テーブルの作成O(N) nCkを求めるO(1)''' def __init__(self, n, MOD): self.fact = [1] for i in range(1, n + 1): self.fact.append(self.fact[-1] * i % MOD) self.inv_fact = [pow(self.fact[i], MOD - 2, MOD) for i in range(n + 1)] self.MOD = MOD def factorial(self, k): """k!を求める O(1)""" return self.fact[k] def inverse_factorial(self, k): """k!の逆元を求める O(1)""" return self.inv_fact[k] def permutation(self, k, r): """kPrを求める O(1)""" if k < r: return 0 return (self.fact[k] * self.inv_fact[r]) % self.MOD def combination(self, k, r): """kCrを求める O(1)""" if k < r: return 0 return (self.fact[k] * self.inv_fact[k - r] * self.inv_fact[r]) % self.MOD a, b, c = map(int, input().split()) n = a + b + c MOD = 10**9 + 7 comb = Combination(3 * 10**5 + 10, MOD) ans = 0 for i in range(1, a+1): unused_a = a - i unused_b = b - 1 unused_c = c unused = unused_a + unused_b + unused_c pattern = comb.combination(unused, unused_a) * comb.combination(unused - unused_a, unused_c) pattern %= MOD pattern = (pow(2, unused, MOD)-1) * pattern * unused_c * pow(unused, MOD - 2, MOD) ans += pattern % MOD ans %= MOD print(ans % MOD)