#include #define rep(i,n) for(int i = 0; i < (n); ++i) #define srep(i,s,t) for (int i = s; i < t; ++i) #define drep(i,n) for(int i = (n)-1; i >= 0; --i) using namespace std; typedef long long int ll; typedef pair P; #define yn {puts("Yes");}else{puts("No");} #define MAX_N 500005 const int MAX = 510000; const int MOD = 1000000007; long long fac[MAX], finv[MAX], inv[MAX]; // テーブルを作る前処理 void COMinit() { fac[0] = fac[1] = 1; finv[0] = finv[1] = 1; inv[1] = 1; for (int i = 2; i < MAX; i++){ fac[i] = fac[i - 1] * i % MOD; inv[i] = MOD - inv[MOD%i] * (MOD / i) % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } } // 二項係数計算 long long COM(int n, int k){ if (n < k) return 0; if (n < 0 || k < 0) return 0; return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD; } long long FINV(int n){ if (n < 0) return 0; return finv[n]; } ll two[MAX_N], sum[MAX_N]; int main() { COMinit(); ll a, b, c; cin >> a >> b >> c; ll n = a + b + c; ll ans = 0; two[0] = 1; sum[0] = 1; srep(i,1,MAX_N){ two[i] = two[i-1] * 2 % MOD; sum[i] = (sum[i-1] + two[i]) % MOD; } srep(i,1,a+1){ ll tmp = COM(n-i-2,c-1) * COM(n-i-c-1,b-1) % MOD * sum[n-i-2] % MOD; // cout << i << ' ' << tmp << endl; ans = (ans + tmp) % MOD; } cout << ans << endl; return 0; }