import sys
input = sys.stdin.buffer.readline
sys.setrecursionlimit(10 ** 7)


def debug(*arg, sep=" ", end="\n"):
    print(*arg, sep=sep, end=end, file=sys.stderr)


T = int(input())
for _ in range(T):
    a, b, c = map(int, input().split())

    ans = 0

    ans += 2 * (b // 2)
    b %= 2

    d = min(a, c)
    ans += 2 * d
    a -= d
    c -= d

    ans += 1 * (c // 2)
    c %= 2

    d = min(a, b)
    ans += 1 * d

    print(ans)