#yuki2110
T = int(input())
def sol(a, b, c):
    res = 0
    res += min(a,c)*2
    res += 2*(b//2)
    b %= 2
    m = min(a,c)
    a -= m
    c -= m
    if a > 0:
        res += b
    if c > 0:
        res += c//2
    return res
for _ in range(T):
    a, b, c = map(int, input().split())
    print(sol(a,b,c))