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

    ANS=0
    MIN=min(A,C)
    ANS+=2*MIN
    A-=MIN
    C-=MIN

    ANS+=2*(B//2)
    B-=B//2*2


    ANS+=C//2
    C-=C//2*2

    MIN=min(A,B)
    ANS+=MIN
    A-=MIN
    B-=MIN

    print(ANS)