#define rep(i,n) for(int i=0;i<(int)(n);i++)
#define ALL(v) v.begin(),v.end()
typedef long long ll;
 
#include<bits/stdc++.h>
using namespace std;
 
int main(){
  ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  
  int t;
  cin>>t;
  while(t--){
    ll a,b,c;
    cin>>a>>b>>c;
    ll ans=0;
    ll x=min(a,c);
    ans+=2*x;
    a-=x,c-=x;
    ans+=c/2;
    if(b%2==0) ans+=b;
    else if(a) ans+=b;
    else ans+=b-1;
    cout<<ans<<'\n';
  }
  
  return 0;
}