def solve():
    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 %= 2
    ab = min(a,b)
    ans += ab
    ans += c//2

    print(ans)

t = int(input())
for _ in range(t):
    solve()