#include using namespace std; using ll = long long; using Pll = pair; using Pii = pair; constexpr ll MOD = 1000000007; constexpr long double EPS = 1e-10; constexpr int dyx[4][2] = { { 0, 1}, {-1, 0}, {0,-1}, {1, 0} }; constexpr int S_MAX = 300000; ll fact[S_MAX+1], rfact[S_MAX+1]; ll perm(ll n, ll r){ return (fact[n] * rfact[r]) % MOD; } ll comb(ll n, ll r){ return (perm(n, r) * rfact[n-r]) % MOD; } void init(ll n){ fact[0] = fact[1] = 1; rfact[0] = rfact[1] = 1; for(int i=2;i<=n;++i) { fact[i] = (fact[i-1] * (ll)i) % MOD; rfact[i] = 1; ll k = MOD-2; ll a = fact[i]; while(k > 0){ if(k & 1){ rfact[i] *= a; rfact[i] %= MOD; } a *= a; a %= MOD; k >>= 1; } } } ll modpow(ll a, ll t) { ll ret = 1LL; while(t){ if(t & 1LL){ ret *= a; ret %= MOD; } a *= a; a %= MOD; t >>= 1; } return ret; } int main() { ios::sync_with_stdio(false); cin.tie(nullptr); ll a, b, c; cin >> a >> b >> c; ll s = a + b + c; init(s); ll ab_patterns[s]; // 先頭 i 文字以下が a ab_patterns[0] = 0; for(int i=1;i<=a;++i) { ab_patterns[i] = comb(a+b-i-1, a-i); ab_patterns[i] %= MOD; } ll ans = 0; ll patterns = 0; for(int i=s-3;i>=0;--i) { if(s-i-2 <= a) patterns += (ab_patterns[s-i-2] * comb(s-min(a, s-i-2)-1-1, c-1)) % MOD; patterns %= MOD; ans += (patterns * modpow(2LL, i)) % MOD; // cerr << i << ": " << patterns << endl; ans %= MOD; } cout << ans << endl; }