#include #include #include #include #include #include #include #include #include #include #include #include #include #include typedef long long ll; using namespace std; const ll MOD = 1000000007LL; class Combination { public: vector fac, inv, fiv; Combination(int N) : fac(N + 1), inv(N + 1), fiv(N + 1) { fac[0] = inv[0] = fiv[0] = fac[1] = inv[1] = fiv[1] = 1; for (ll i = 2; i <= N; i++) { fac[i] = fac[i - 1] * i % MOD; // n! inv[i] = inv[MOD % i] * (MOD - MOD / i) % MOD; // n^-1 fiv[i] = fiv[i - 1] * inv[i] % MOD; // (n!)^-1 } } ll C(ll n, ll k) { if (k < 0 || n < k) return 0; return fac[n] * fiv[k] % MOD * fiv[n - k] % MOD; } }; ll pow_mod(ll num, ll pow, ll mod) { ll prod = 1; num %= mod; while (pow > 0) { if (pow & 1) prod = prod * num % mod; num = num * num % mod; pow >>= 1; } return prod; } int main() { cin.sync_with_stdio(false); cin.tie(0); cout.tie(0); ll a, b, c; cin >> a >> b >> c; ll sum = a + b + c; Combination com(sum); ll ans = 0; for (ll i = c - 1; i < sum - 2; i++) { // zの戦闘がibit目であるときを考える ll tmp = (com.C(sum - c - 1, b) - com.C(i - c + 1, b) + MOD) % MOD; tmp = tmp * com.C(i, c - 1) % MOD; ans += pow_mod(2, i, MOD) * tmp % MOD; tmp = tmp * (c - 1) % MOD * com.inv[i] % MOD; ans += (pow_mod(2, i, MOD) - 1) * tmp % MOD; ans %= MOD; } cout << ans << "\n"; return 0; }