for i in range(int(input())):
    a, b, c = map(int, input().split())
    res = 0
    tmp1 = min(a, c)
    res += tmp1*2
    a -= tmp1
    c -= tmp1
    tmp2 = min(a, b)
    res += tmp2
    a -= tmp2
    b -= tmp2
    tmp3 = b
    if b % 2 == 1:
        tmp3 -= 1
    res += tmp3
    print(res)