description: One day, early in the morning, you decided to buy yourself a bag of chips in the nearby store. The store has chips of n different flavors. A bag of the i-th flavor costs a_i burles.
  
  The store may run out of some flavors, so you'll decide which one to buy after arriving there. But there are two major flaws in this plan: 
  
    1. you have only coins of 1, 2 and 3 burles; 
    2. since it's morning, the store will ask you to pay in exact change, i. e. if you choose the i-th flavor, you'll have to pay exactly a_i burles. 
  
  
  
  Coins are heavy, so you'd like to take the least possible number of coins in total. That's why you are wondering: what is the minimum total number of coins you should take with you, so you can buy a bag of chips of any flavor in exact change?
  
  Input
  
  The first line contains a single integer t (1 ≤ t ≤ 1000) — the number of test cases.
  
  The first line of each test case contains the single integer n (1 ≤ n ≤ 100) — the number of flavors in the store.
  
  The second line of each test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9) — the cost of one bag of each flavor.
  
  Output
  
  For each test case, print one integer — the minimum number of coins you need to buy one bag of any flavor you'll choose in exact change.
  
  Example
  
  Input
  
  
  4
  1
  1337
  3
  10 8 10
  5
  1 2 3 4 5
  3
  7 77 777
  
  
  Output
  
  
  446
  4
  3
  260
  
  Note
  
  In the first test case, you should, for example, take with you 445 coins of value 3 and 1 coin of value 2. So, 1337 = 445 ⋅ 3 + 1 ⋅ 2.
  
  In the second test case, you should, for example, take 2 coins of value 3 and 2 coins of value 2. So you can pay either exactly 8 = 2 ⋅ 3 + 1 ⋅ 2 or 10 = 2 ⋅ 3 + 2 ⋅ 2.
  
  In the third test case, it's enough to take 1 coin of value 3 and 2 coins of value 1.
solution: import sys
  testing = len(sys.argv) == 4 and sys.argv[3] == "myTest"
  interactive = False
  if testing:
      cmd = sys.stdout
      from time import time
      start_time = int(round(time() * 1000)) 
      readAll = open(sys.argv[1], 'r').read
      sys.stdout = open(sys.argv[2], 'w')
  else:
      readAll = sys.stdin.read
  
  # ############ ---- I/O Functions ---- ############
  
  class InputData:
      def __init__(self):
          self.lines = readAll().split('\n')
          self.n = len(self.lines)
          self.ii = -1
      def input(self):
          self.ii += 1
          assert self.ii < self.n
          return self.lines[self.ii]
  
  flush = sys.stdout.flush
  if interactive and not testing:
      input = sys.stdin.readline
  else:
      inputData = InputData()
      input = inputData.input
  
  def intin():
      return(int(input()))
  def intlin():
      return(list(map(int,input().split())))
  def chrin():
      return(list(input()))
  def strin():
      return input()
  def lout(l, sep="\n", toStr=True):
      print(sep.join(map(str, l) if toStr else l))
  def dout(*args, **kargs):
      if not testing: return
      if args: print(args[0] if len(args)==1 else args)
      if kargs: print([(k,v) for k,v in kargs.items()])
  def ask(q):
      sys.stdout.write(str(q)+'\n')
      flush()
      return intin()
      
  # ############ ---- I/O Functions ---- ############
  
  # from math import ceil
  from collections import defaultdict as ddict, Counter
  # from heapq import *
  # from Queue import Queue
  
  def main():
      n = intin()
      a = intlin()
      a = sorted(list(set(a)))
      n = len(a)
      x = a[-1]
      a = set(a)
      b = set([x%3 for x in a])
      ans = x/3+int(x%3>0)
      if x%3 == 1:
          if (2 in b) and (1 in a or x-1 in a):
              ans += 1
      elif x%3 == 2:
          if 1 in b:
              ans += 1
      else:
          if 1 in b or 2 in b:
              ans += 1
      return ans
  
  
  anss = []
  for _ in xrange(intin()):
      anss.append(main())
      # anss.append("YES" if main() else "NO")
  lout(anss)
  
  if testing:
      sys.stdout = cmd
      print(int(round(time() * 1000))  - start_time)