for i in range(int(input())):
  a, b, c=map(int, input().split())
  cnt=0
  
  if b>=1 and c>=2:
    while(b>=1 and c>=2):
      b=b-1
      c=c-2
      cnt+=3
  if a>=1 and b>=2:
    while(a>=1 and b>=2):
      a=a-1
      b=b-2
      cnt+=3
  print(cnt)

    
  

  