#include <iostream>
#include <vector>
#include <iomanip>
#include <algorithm>
#include <map>
using namespace std;

int main(){
    int t;cin >> t;
    while(t--){
        long long a,b,c;
        cin >> a >> b >> c;
        long long ans = 0;
        ans += (b/2)*2;
        if(b%2==0) b = 0;
        else b = 1;
        if(a<=c){
            ans += a*2;
            c -= a;
            a = 0;
            ans += (c/2);
        }else if(c<a){
            ans += c*2;
            a -= c;
            c = 0;
            if(b==1 && a==1) ans++;
        }
        cout << ans << endl;


    }
}