t = int(input())

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

