# maa chudaye duniya.
for _ in range(int(input())):
    a, b, c = map(int, input().split())
    ans = 0
    while True:
        if b >= 1 and c >= 2:
            b -= 1
            c -= 2
            ans += 3
        elif a >= 1 and b >= 2:
            a -= 1
            b -= 2
            ans += 3
        else:
            break
    print(ans)