T=int(input())
for _ in range(T):
  a,b,c=map(int,input().split())
  ans=0
  ans+=2*(b//2)
  b=b%2
  ans+=2*min(a,c)
  d=min(a,c)
  a-=d
  c-=d
  if a>0:
    if b==1:
      ans+=1
  else:
    ans+=c//2
  print(ans)