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.io.BufferedOutputStream;
  import java.io.BufferedReader;
  import java.io.IOException;
  import java.io.InputStream;
  import java.io.InputStreamReader;
  import java.io.PrintWriter;
  import java.util.Arrays;
  import java.util.InputMismatchException;
  import java.util.StringTokenizer;
  
  public class A4 {
  
      void solve() {
          int n = cint();
          int[] a = carr_int(n);
          Arrays.sort(a);
  
          int res = a[n-1];
          int till3 = a[n-1] / 3 + 3;
          int from3 = Math.max(0, a[n-1] / 3 - 3);
          for (int x1 = 0; x1 <= 2; x1++) {
              for (int x2 = 0; x2 <= 2; x2++) {
                  for (int x3 = from3; x3 <= till3; x3++) {
                      
                      if (x1 + x2 + x3 >= res) {
                          continue;
                      }
                      
                      boolean ok = true;
                      for (int i = 0; i < n; i++) {
                          if (!can(a[i], x1, x2, x3)) {
                              ok = false;
                              break;
                          }
                      }
                      
                      if (ok) {
                          res = x1 + x2 + x3;
                      }
                  }
              }
          }
          
          cout(res);
      }
  
      boolean can(int a, int x1, int x2, int x3) {
          for (int c1 = 0; c1 <= x1; c1++) {
              for (int c2 = 0; c2 <= x2; c2++) {
                  int y = a - c1 - c2 * 2;
                  if (y >= 0 && y % 3 == 0 && y / 3 <= x3) {
                      return true;
                  }
              }
          }
          return false;
      }
      
  
      public static void main(String... args) {
          int t = in.nextInt();
          for (int test = 1; test <= t; test++) {
              new A4().solve();
          }
          out.flush();
      }
  
      static final QuickReader in = new QuickReader(System.in);
      static final PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out, 131_072));
  
      static int cint() {
          return in.nextInt();
      }
  
      static long clong() {
          return in.nextLong();
      }
  
      static String cstr() {
          return in.nextLine();
      }
  
      static int[] carr_int(int n) {
          return in.nextInts(n);
      }
  
      static long[] carr_long(int n) {
          return in.nextLongs(n);
      }
  
      static void cout(int... a) {
          StringBuilder buf = new StringBuilder();
          for (int i = 0; i < a.length; i++) {
              if (i != 0) {
                  buf.append(' ');
              }
              buf.append(a[i]);
          }
          out.println(buf);
      }
  
      static void cout(long... a) {
          StringBuilder buf = new StringBuilder();
          for (int i = 0; i < a.length; i++) {
              if (i != 0) {
                  buf.append(' ');
              }
              buf.append(a[i]);
          }
          out.println(buf);
      }
  
      static void cout(Object o) {
          out.println(o);
      }
  
      static class QuickReader {
          BufferedReader in;
          StringTokenizer token;
  
          public QuickReader(InputStream ins) {
              in = new BufferedReader(new InputStreamReader(ins));
              token = new StringTokenizer("");
          }
  
          public boolean hasNext() {
              while (!token.hasMoreTokens()) {
                  try {
                      String s = in.readLine();
                      if (s == null) {
                          return false;
                      }
                      token = new StringTokenizer(s);
                  } catch (IOException e) {
                      throw new InputMismatchException();
                  }
              }
              return true;
          }
  
          public String next() {
              hasNext();
              return token.nextToken();
          }
  
          public String nextLine() {
              try {
                  String s = in.readLine();
                  token = new StringTokenizer("");
                  return s;
              } catch (IOException e) {
                  throw new InputMismatchException();
              }
          }
  
          public int nextInt() {
              return Integer.parseInt(next());
          }
  
          public int[] nextInts(int n) {
              int[] res = new int[n];
              for (int i = 0; i < n; i++) {
                  res[i] = nextInt();
              }
              return res;
          }
  
          public long nextLong() {
              return Long.parseLong(next());
          }
  
          public long[] nextLongs(int n) {
              long[] res = new long[n];
              for (int i = 0; i < n; i++) {
                  res[i] = nextLong();
              }
              return res;
          }
      }
  }
  