#include <iostream>
using namespace std;
void solve(){
  long long a,b,c;cin>>a>>b>>c;
  long long ans = b/2*2;
  b%=2;
  if(a<c){
    ans += a*2;
    c-=a;
    a = 0;
  }else{
    ans += c*2;
    a-=c;
    c = 0;
  }
  if(a && b){
    ans++;
    a--;b--;
  }
  ans += c/2;
  cout << ans << endl;
}

int main(){
  int n;cin>>n;
  for(int i = 0; n > i; i++)solve();
}