T = int(input())
ABC = [list(map(int, input().split())) for _ in range(T)]
for a, b, c in ABC:
    ans = 0
    cnt = min(a, c)
    ans += cnt*2
    a-=cnt
    c-=cnt

    cnt = b//2
    ans += cnt*2
    b%=2

    cnt = c//2
    ans += cnt
    c%=2

    if a>0 and b>0:
        ans += 1
    print(ans)