T = int(input())
for _ in range(T):
  A,B,C = map(int,input().split())
  ans = 0
  ans += + B - (B%2)
  B = B%2

  if C <= A:
    A -= C
    ans += 2*C
    C = 0
  else:
    print(ans+2*A)
    continue
  if B <= A:
    print(ans+B)
    continue
  else:
    print(ans+A)
    continue