import sys
input = sys.stdin.readline


T = int(input())
for _ in range(T):
    A, B, C = map(int, input().split())
    ans = 0
    v02 = min(A, C)
    ans += 2 * v02
    A, C = A - v02, C - v02
    v11 = B // 2
    ans += 2 * v11
    B %= 2
    v01 = min(A, B)
    ans += v01
    A, B = A - v01, B - v01
    v22 = C // 2
    ans += v22
    C %= 2
    print(ans)