def main():
    from sys import stdin, setrecursionlimit
    # setrecursionlimit(1000000)
    input = stdin.readline
    def iinput(): return int(input())
    def sinput(): return input().rstrip()
    def i0input(): return int(input()) - 1
    def linput(): return list(input().split())
    def liinput(): return list(map(int, input().split()))
    def miinput(): return map(int, input().split())
    def li0input(): return list(map(lambda x: int(x) - 1, input().split()))
    def mi0input(): return map(lambda x: int(x) - 1, input().split())
    INF = 1000000000000000000
    MOD = 1000000007

    T = iinput()
    for _ in [0] * T:
        A, B, C = miinput()
        if A >= B + C:
            print(B + 2 * C)
        else:
            tmp = min(C, A)
            ans = tmp * 2
            C -= tmp
            A -= tmp
            if A == 0:
                ans += C // 2
                ans += B // 2 * 2
            else:
                ans += B
            print(ans)

main()