cf 1236A

#include<bits/stdc++.h>

using namespace std;

int main()
{
    int t;
    scanf("%d", &t);

    while(t--)
    {
        int a, b, c, cnt = 0;
        cin >> a >> b >> c;

        while(b >= 1 && c >= 2)
        {
            b--;
            c -= 2;
            cnt += 3;
            if(b < 1 || c < 2) break;
        }
        while(b >= 2 && a >= 1)
        {
            a--;
            b -= 2;
            cnt += 3;
            if(b < 2 || a < 1) break;
        }
        cout << cnt << endl;
    }
}