for _ in range(int(raw_input())):
    a, b, c = map(int, raw_input().split())
    ans = 0
    while c >= 2 and b >= 1:
        ans += 3
        c -= 2
        b -= 1
    while b >= 2 and a >= 1:
        ans += 3
        b -= 2
        a -= 1
    print ans    