t = int(input())

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