T = int(input())
for _ in range(T):
    A,B,C = list(map(int,input().split()))

    ans = 0
    
    AC = min(A,C)
    ans += 2 * AC
    A -= AC;C -= AC
    
    BB = B//2
    ans += 2 * BB
    B -= 2*BB

    AB = min(A,B)
    ans += AB
    A -= AB;B -= AB
    
    CC = C//2
    ans += CC
    C -= 2*CC

    print(ans)