for _ in range(int(input())):
    a,b,c = map(int,input().split())
    ans = 0
    x = min(a,c)
    ans += 2 * x
    a -= x
    c -= x

    x = b // 2
    ans += x * 2
    b -= x * 2

    x = min(a,b)
    ans += x
    a -= x
    b -= x

    x = c // 2
    ans += x
    c -= 2 * x

    print(ans)