t = int(input())
out = []
for i in range(t):
    a, b, c = map(int, input().split())
    count = 0
    while b >= 1 and c >= 2:
        b -= 1
        c -= 2
        count += 3
    while a >= 1 and b >= 2:
        a -= 1
        b -= 2
        count += 3 
    out.append(str(count))
print('\n'.join(out))