Q = int(input())
for i in range(Q):
    A,B,C = map(int,input().split())
    ans = 0

    ac = min(A,C)
    ans += ac*2
    A-=ac;C-=ac
    

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

    print(ans)