#include #include #include #include #include #include #include using namespace std; using ll = long long; constexpr int P = 1000000007; ll powmod(ll n, ll k) { ll r = 1, t = n % P; for (; k != 0; k /= 2) { if (k & 1) r = r * t % P; t = t * t % P; } return r; } ll inv(ll n) { return powmod(n, P - 2); } vector f0, f1; void init(int n) { f0.resize(n + 1); f0[0] = 1; for (int i = 1; i <= n; i++) { f0[i] = (ll)f0[i - 1] * i % P; } f1.resize(n + 1); f1[n] = inv(f0[n]); for (int i = n; i > 0; i--) { f1[i - 1] = (ll)f1[i] * i % P; } } ll fact(int k) { return f0[k]; } ll comb(int n, int k) { if (n < k || k < 0) return 0; return (ll)f0[n] * f1[k] % P * f1[n - k] % P; } int main() { int a, b, c; cin >> a >> b >> c; int n = a + b + c; init(n); ll r = 0; for (int j = 1; j <= a; j++) { int a1 = a - j; int b1 = b - 1; int c1 = c; int n1 = a1 + b1 + c1; ll t = comb(n1, a1) * comb(b1 + c1, b1) % P; t = t * ((powmod(2, n1) + P - 1) % P) % P; t = t * c1 % P; t = t * inv(n1) % P; r += t; //r += t * 2^n1-1 * c1/n1; } cout << r % P << endl; return 0; }