#include <iostream> #include <algorithm> #include <string> #include <vector> #include <cmath> #include <map> #include <queue> #include <iomanip> #include <set> #include <tuple> #define mkp make_pair #define mkt make_tuple #define rep(i,n) for(int i = 0; i < (n); ++i) using namespace std; typedef long long ll; const ll MOD=1e9+7; #define MAX_N 300030 ll inv[MAX_N+10],fac[MAX_N+10],ifac[MAX_N+10]; void setComb(){ inv[0]=1;inv[1]=1;fac[1]=1;ifac[1]=1;fac[0]=1;ifac[0]=1; for(int i=2;i<MAX_N;i++){ inv[i]=(-MOD/i)*inv[MOD%i]%MOD; fac[i]=fac[i-1]*i%MOD; ifac[i]=ifac[i-1]*inv[i]%MOD; inv[i]=(inv[i]+MOD)%MOD; fac[i]=(fac[i]+MOD)%MOD; ifac[i]=(ifac[i]+MOD)%MOD; } return; } ll comb(ll n,ll k){ if(n<k||n<0||k<0) return 0; else return ((fac[n]*ifac[k]%MOD*ifac[n-k]%MOD+MOD)%MOD); } ll hcomb(ll n,ll r){ if(n==0&&r==0) return 1; else if(n<0||r<0) return 0; else return comb(n+r-1,r-1); } void add(ll &a,ll b){ a=(a+b)%MOD; } void mul(ll &a,ll b){ a=a*b%MOD; } ll A,B,C; int main(){ cin>>A>>B>>C; setComb(); ll ans=0; ll two=1; for(ll i=0;i<A+B+C-2;i++){ ll p=comb(A+B+C-2,A-1); ll s=A+B+C-2-i; ll q=comb(i,A-1-s); add(p,MOD-q); mul(p,comb(B+C-2,B-1)); mul(p,two); add(ans,p); mul(two,2ll); } cout<<ans<<endl; return 0; }