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