mod = 998244353


def main():
    import sys
    input = sys.stdin.readline
    
    for _ in range(int(input())):
        a, b, c = map(int, input().split())
        ans = 0
        ans += (b // 2) * 2
        b %= 2
        x = min(a, c)
        ans += 2 * x
        a -= x
        c -= x
        y = min(a, b)
        ans += y
        a -= y
        b -= y
        ans += (c // 2)
        c %= 2
        print(ans)


if __name__ == '__main__':
    main()