typedef long long ll; #include using namespace std; const int MAX = 510000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long modpow(long long a, long long n) { long long res = 1; while (n > 0) { if (n & 1) res = res * a % MOD; a = a * a % MOD; n >>= 1; } return res; } int main() { COMinit(); ll a,b,c; std::cin >> a>>b>>c; ll ans =0; for (int i = c-1; i < a+b+c-2; i++) { ans += COM(i,c-1)*((modpow(2,i)-1)%MOD*(c-1)%MOD*modpow(i,MOD-2)%MOD+modpow(2,i))%MOD*(COM(a+b-1,b)-COM(i+1-c,b)+MOD)%MOD; ans %= MOD; } std::cout << ans << std::endl; }