#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; const ll mod = 1000000007; const ll INF = mod * mod; typedef pairP; typedef pair sP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) typedef pair LP; typedef vector vec; typedef long double ld; typedef pair LDP; const ld eps = 1e-5; const ld pi = acos(-1.0); typedef vector> mat; typedef vector vec; ll mod_pow(ll x, ll n) { ll ret = 1; while (n > 0) { if (n % 2)ret = ret * x%mod; x = x * x%mod; n >>= 1; } return ret; } struct perm { private: int sz; vector p, invp; public: perm(int n) { sz = n + 1; p.resize(sz), invp.resize(sz); p[0] = 1; rep1(i, sz - 1) { p[i] = p[i - 1] * i%mod; } invp[sz - 1] = 1; ll cop = mod - 2, x = p[sz - 1]; while (cop) { if (cop % 2)invp[sz - 1] = invp[sz - 1] * x%mod; cop >>= 1; x = x * x % mod; } per(i, sz - 1) { invp[i] = invp[i + 1] * (i + 1) % mod; } } ll comb(ll x, ll y) { if (x < y || y < 0)return 0; ll ret = p[x]; (ret *= invp[y]) %= mod; (ret *= invp[x - y]) %= mod; return ret; } ll combP(ll x, ll y) { if (x < y || y < 0)return 0; return p[x] * invp[x - y] % mod; } }; perm p(1 << 19); void solve() { int a, b, c; cin >> a >> b >> c; ll ans = 0; for (int x = 0; x <= a + b + c - 3; x++) { ll s = p.comb(a + b, a)*(1 + mod) / 2 % mod; s -= p.comb(x - c + 1, b); //ll s = p.comb(a + b, a) - p.comb(x - c + 1, a) - p.comb(x - c + 1, b); //cout << s << endl; s = (s%mod + mod) % mod; ll z = p.comb(x, c - 1); ans += mod_pow(2, x)*z%mod*s%mod; //cout << ans%mod << endl; ll zz = z * (c - 1) % mod*mod_pow(x, mod - 2) % mod; ans += zz * s%mod*(mod_pow(2, x) - 1) % mod; //cout << ans % mod << endl; ans %= mod; } //ans = ans * (mod + 1) / 2 % mod; cout << ans << endl; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //init(); solve(); //stop return 0; }