#include #include using namespace std; typedef long long ll; const ll mod = 1e9 + 7; ll modpow(ll a, ll b, ll p = 1e9+7){ if(b == 0) return 1; if(b % 2 == 0){ ll d = modpow(a, b/2, p); return (d*d) % p; }else{ return (a%p * modpow(a, b-1, p)) % p; } } ll po[300001], inv[300001]; void init(ll N){ po[0] = 1; for(int i = 1; i < N; i++) po[i] = (po[i-1] * i) % mod; inv[N-1] = modpow(po[N-1], mod-2, mod); for(int i = N-2; i >= 0; i--) inv[i] = (inv[i+1] * (i+1)) % mod; } ll nCk(ll n, ll k){ if(k == 0) return 1; if(n < k) return 0; return (((po[n]*inv[n-k])%mod)*inv[k])%mod; } ll nPk(ll n, ll k){ if(k == 0) return 1; if(n < k) return 0; return (po[n]*inv[n-k])%mod; } ll nHk(ll n, ll k){ if(n == 0 && k == 0) return 1; return nCk(n+k-1, k-1); } int main(){ cin.tie(0); ios::sync_with_stdio(false); ll a, b, c; cin >> a >> b >> c; init(a+b+c+1); ll ans = 0, beki = (modpow(2,a+b+c-1)-1+mod)%mod, twoinv = modpow(2, mod-2); for(ll i = 1; i <= a; i++){ beki = (beki-1+mod)*twoinv%mod; ans += nCk(a+b+c-i-2, c-1)*nCk(a+b-i-1, b-1)%mod*beki%mod; ans %= mod; } cout << ans << "\n"; return 0; }