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