#include #include #include #define llint long long #define mod 1000000007 using namespace std; const int FACT_MAX = 300005; llint fact[FACT_MAX], fact_inv[FACT_MAX]; llint modpow(llint a, llint n) { if(n == 0) return 1; if(n % 2){ return ((a%mod) * (modpow(a, n-1)%mod)) % mod; } else{ return modpow((a*a)%mod, n/2) % mod; } } void make_fact() { llint val = 1; fact[0] = 1; for(int i = 1; i < FACT_MAX; i++){ val *= i; val %= mod; fact[i] = val; } fact_inv[FACT_MAX-1] = modpow(fact[FACT_MAX-1], mod-2); for(int i = FACT_MAX-2; i >= 0; i--){ fact_inv[i] = fact_inv[i+1] * (i+1) % mod; } } llint comb(llint n, llint k) { if(n == -1) return 1; llint ret = 1; ret *= fact[n]; ret *= fact_inv[k], ret %= mod; ret *= fact_inv[n-k], ret %= mod; return ret; } llint a, b, c; llint beki[300005], sum[300005]; int main(void) { ios::sync_with_stdio(0); cin.tie(0); make_fact(); cin >> a >> b >> c; int n = a+b+c; beki[0] = 1; for(int i = 1; i <= n; i++) beki[i] = beki[i-1] * 2, beki[i] %= mod; sum[0] = beki[0]; for(int i = 1; i <= n; i++) sum[i] = sum[i-1] + beki[i], sum[i] %= mod; llint ans = 0; for(int i = c-1; i < n-2; i++){ llint tmp = 0; if(c >= 2 && i >= 1) tmp += comb(i-1, c-2) * sum[i-1] % mod, tmp %= mod; tmp += comb(i, c-1) * beki[i] % mod, tmp %= mod; llint mul = comb(a+b, a); if(i-(c-1)>= a) mul += mod - comb(i-(c-1), a), mul %= mod; if(i-(c-1)>= b) mul += mod - comb(i-(c-1), b), mul %= mod; tmp *= mul, tmp %= mod; ans += tmp, ans %= mod; } ans *= modpow(2, mod-2), ans %= mod; cout << ans << endl; return 0; }