#include <bits/stdc++.h>
using namespace std;
#define int long long
signed main(){
  int T;
  cin>>T;
  for(int i=0;i<T;i++){
      int a,b,c;
      cin>>a>>b>>c;
      int ans = b+2*c;
      int x = min(a,c);
      a -= x;
      c -= x;
      if(!c){
          if((b+c)%2) ans -= 1+(!b);
          cout<<ans<<endl;
          continue;
      }
      b %= 2;
      ans -= ((b+c)/2)*3;
      if((b+c)%2) ans -= 1+(!b);
      cout<<ans<<endl;
  }
}