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 java.util.*;
  import java.io.*;
  
  public class Main {
      static FastScanner sc = new FastScanner(System.in);
      static PrintWriter pw = new PrintWriter(System.out);
      static StringBuilder sb = new StringBuilder();
      static long mod = 998244353;
  
      public static void main(String[] args) throws Exception {
          int n = sc.nextInt();
          for(int i = 0; i < n; i++) solve();
          pw.flush();
      }
  
      public static void solve() {
          int n = sc.nextInt();
          int[] a = sc.nextIntArray(n);
          int ans = Integer.MAX_VALUE;
          for(int i = 0; i <= 2; i++){
              for(int j = 0; j <= 2; j++){
                  boolean flg = true;
                  HashSet<Integer> set = new HashSet<>();
                  for(int k = 0; k <= j; k++){
                      for(int k2 = 0; k2 <= i; k2++){
                          set.add(2*k+k2);
                      }
                  }
                  int max = 0;
                  for(int k = 0; k < n; k++){
                      int v = a[k];
                      if(v >= 6){
                          int mod = v % 3 + 6;
                          if(set.contains(mod)){
                              max = Math.max(v/3-2,max);
                              continue;
                          }
                      }
                      if(v >= 3){
                          int mod = v % 3 + 3;
                          if(set.contains(mod)){
                              max = Math.max(v/3-1,max);
                              continue;
                          }
                      }
                      int mod = v % 3;
                      if(set.contains(mod)){
                          max = Math.max(v/3,max);
                          continue;
                      }
                      flg = false;
                      break;
                  }
                  if(flg){
                      ans = Math.min(ans,i+j+max);
                  }
              }
          }
          pw.println(ans);
      }
      
      private static String ArraysToString(int[] arr){
          StringBuilder printer = new StringBuilder();
          for(int v : arr) printer.append(v).append(" ");
          return printer.toString().trim();
      }
  
      static class GeekInteger {
          public static void save_sort(int[] array) {
              shuffle(array);
              Arrays.sort(array);
          }
  
          public static int[] shuffle(int[] array) {
              int n = array.length;
              Random random = new Random();
              for (int i = 0, j; i < n; i++) {
                  j = i + random.nextInt(n - i);
                  int randomElement = array[j];
                  array[j] = array[i];
                  array[i] = randomElement;
              }
              return array;
          }
  
          public static void save_sort(long[] array) {
              shuffle(array);
              Arrays.sort(array);
          }
  
          public static long[] shuffle(long[] array) {
              int n = array.length;
              Random random = new Random();
              for (int i = 0, j; i < n; i++) {
                  j = i + random.nextInt(n - i);
                  long randomElement = array[j];
                  array[j] = array[i];
                  array[i] = randomElement;
              }
              return array;
          }
  
      }
  }
  
  class FastScanner {
      private BufferedReader reader = null;
      private StringTokenizer tokenizer = null;
  
      public FastScanner(InputStream in) {
          reader = new BufferedReader(new InputStreamReader(in));
          tokenizer = null;
      }
  
      public FastScanner(FileReader in) {
          reader = new BufferedReader(in);
          tokenizer = null;
      }
  
      public String next() {
          if (tokenizer == null || !tokenizer.hasMoreTokens()) {
              try {
                  tokenizer = new StringTokenizer(reader.readLine());
              } catch (IOException e) {
                  throw new RuntimeException(e);
              }
          }
          return tokenizer.nextToken();
      }
  
      public String nextLine() {
          if (tokenizer == null || !tokenizer.hasMoreTokens()) {
              try {
                  return reader.readLine();
              } catch (IOException e) {
                  throw new RuntimeException(e);
              }
          }
          return tokenizer.nextToken("\n");
      }
  
      public long nextLong() {
          return Long.parseLong(next());
      }
  
      public int nextInt() {
          return Integer.parseInt(next());
      }
  
      public double nextDouble() {
          return Double.parseDouble(next());
      }
  
      public String[] nextArray(int n) {
          String[] a = new String[n];
          for (int i = 0; i < n; i++)
              a[i] = next();
          return a;
      }
  
      public int[] nextIntArray(int n) {
          int[] a = new int[n];
          for (int i = 0; i < n; i++)
              a[i] = nextInt();
          return a;
      }
  
      public long[] nextLongArray(int n) {
          long[] a = new long[n];
          for (int i = 0; i < n; i++)
              a[i] = nextLong();
          return a;
      }
  }
  