T = int(input())
for _ in range(T):
    A, B, C = map(int, input().split())
    ret = min(A, C)
    A -= ret
    C -= ret
    ret = 2 * (ret + B // 2)
    if B & 1:
        if C:
            ret += C // 2
        if A:
            ret += 1
    else:
        if C:
            ret += C // 2
    print(ret)