description: n players are playing a game. 
  
  There are two different maps in the game. For each player, we know his strength on each map. When two players fight on a specific map, the player with higher strength on that map always wins. No two players have the same strength on the same map. 
  
  You are the game master and want to organize a tournament. There will be a total of n-1 battles. While there is more than one player in the tournament, choose any map and any two remaining players to fight on it. The player who loses will be eliminated from the tournament. 
  
  In the end, exactly one player will remain, and he is declared the winner of the tournament. For each player determine if he can win the tournament.
  
  Input
  
  The first line contains a single integer t (1 ≤ t ≤ 100) — the number of test cases. The description of test cases follows.
  
  The first line of each test case contains a single integer n (1 ≤ n ≤ 10^5) — the number of players.
  
  The second line of each test case contains n integers a_1, a_2, ..., a_n (1 ≤ a_i ≤ 10^9, a_i ≠ a_j for i ≠ j), where a_i is the strength of the i-th player on the first map. 
  
  The third line of each test case contains n integers b_1, b_2, ..., b_n (1 ≤ b_i ≤ 10^9, b_i ≠ b_j for i ≠ j), where b_i is the strength of the i-th player on the second map. 
  
  It is guaranteed that the sum of n over all test cases does not exceed 10^5.
  
  Output
  
  For each test case print a string of length n. i-th character should be "1" if the i-th player can win the tournament, or "0" otherwise.
  
  Example
  
  Input
  
  
  3
  4
  1 2 3 4
  1 2 3 4
  4
  11 12 20 21
  44 22 11 30
  1
  1000000000
  1000000000
  
  
  Output
  
  
  0001
  1111
  1
  
  Note
  
  In the first test case, the 4-th player will beat any other player on any game, so he will definitely win the tournament.
  
  In the second test case, everyone can be a winner. 
  
  In the third test case, there is only one player. Clearly, he will win the tournament.
solution: 
  
  
  
  
  /* package codechef; // don't place package name! */
  
  import java.util.*;
  import java.lang.*;
  import java.io.*;
  /* Name of the class has to be "Main" only if the class is public. */
  public class Codechef
  {static class FastReader 
      { 
          BufferedReader br; 
          StringTokenizer st; 
    
          public FastReader() 
          { 
              br = new BufferedReader(new
                       InputStreamReader(System.in)); 
          } 
    
          String next() 
          { 
              while (st == null || !st.hasMoreElements()) 
              { 
                  try
                  { 
                      st = new StringTokenizer(br.readLine()); 
                  } 
                  catch (IOException  e) 
                  { 
                      e.printStackTrace(); 
                  } 
              } 
              return st.nextToken(); 
          } 
    
          int nextInt() 
          { 
              return Integer.parseInt(next()); 
          } 
    
          long nextLong() 
          { 
              return Long.parseLong(next()); 
          } 
    
          double nextDouble() 
          { 
              return Double.parseDouble(next()); 
          } 
    
          String nextLine() 
          { 
              String str = ""; 
              try
              { 
                  str = br.readLine(); 
              } 
              catch (IOException e) 
              { 
                  e.printStackTrace(); 
              } 
              return str; 
          } 
      } 
  //    static int mod = 998244353 ;
  //    static int N = 200005;
  //    static long factorial_num_inv[] = new long[N+1];
  //    static long natual_num_inv[] = new long[N+1];
  //    static long fact[] = new long[N+1];
  //    static void InverseofNumber() 
  //{ 
  //    natual_num_inv[0] = 1;
  //    natual_num_inv[1] = 1; 
  //    for (int i = 2; i <= N; i++) 
  //        natual_num_inv[i] = natual_num_inv[mod % i] * (mod - mod / i) % mod; 
  //} 
  //static void InverseofFactorial() 
  //{ 
  //    factorial_num_inv[0] = factorial_num_inv[1] = 1; 
    
  //    for (int i = 2; i <= N; i++) 
  //        factorial_num_inv[i] = (natual_num_inv[i] * factorial_num_inv[i - 1]) % mod; 
  //} 
  //static long nCrModP(long N, long R) 
  //{ 
  //    long ans = ((fact[(int)N] * factorial_num_inv[(int)R]) % mod * factorial_num_inv[(int)(N - R)]) % mod; 
  //    return ans%mod; 
  //}
      //static boolean prime[];
      //static void sieveOfEratosthenes(int n)
      //{
      //    prime = new boolean[n+1];
          
      //    for (int i = 0; i <= n; i++)
      //        prime[i] = true;
   
      //    for (int p = 2; p * p <= n; p++)
      //    {
      //        // If prime[p] is not changed, then it is a
      //        // prime
      //        if (prime[p] == true)
      //        {
      //            // Update all multiples of p
      //            for (int i = p * p; i <= n; i += p)
      //                prime[i] = false;
      //        }
      //    }
   
          
      //}
      
      static int visited[];
  	public static void main (String[] args) throws java.lang.Exception
  	{
      //    InverseofNumber();
      //    InverseofFactorial();
      //   fact[0] = 1; 
      //   for (long i = 1; i <= 2*100000; i++)
      //   { 
      //       fact[(int)i] = (fact[(int)i - 1] * i) % mod; 
      //   }
      
  		FastReader scan = new FastReader();
  		PrintWriter pw = new PrintWriter(System.out);
          int t = scan.nextInt();
          while(t-->0){
              int n = scan.nextInt();
              visited = new int[n];
              Pair a[] = new Pair[n];
              Pair b[] = new Pair[n];
              int max = 0,max_index = 0;
              for(int i=0;i<n;i++){
                  int val = scan.nextInt();
                  if(val>max){
                  max = val;
                  max_index = i;
                  }
                  a[i] = new Pair(i,val);
              }
              for(int i=0;i<n;i++){
                  int val = scan.nextInt();
                  b[i] = new Pair(i,val);
              }
              Arrays.sort(a,new Compar());
              Arrays.sort(b,new Compar());
              List<List<Integer>> graph = new ArrayList<List<Integer>>();
              for(int i=0;i<=n;i++){
                  graph.add(new ArrayList<Integer>());
              }
              for(int i=0;i<n-1;i++){
                  graph.get(a[i].x).add(a[i+1].x);
                  graph.get(b[i].x).add(b[i+1].x);
              }
              visited[max_index] = 1;
              dfs(max_index,graph);
              for(int i=0;i<n;i++){
                  pw.print(visited[i]);
              }
              pw.println();
              pw.flush();            
          } 
      }
          static void dfs(int max,List<List<Integer>> graph){
              List<Integer> temp = graph.get(max);
              int n = temp.size();
              for(int i=0;i<n;i++){
                  int index = temp.get(i);
                  if(visited[index]==0){
                      visited[index] = 1;
                      dfs(index,graph);
                  }
              }
          }
          //static long bin_exp_mod(long a,long n){
              
          //    long res = 1;
              
          //    if(a==0)
          //    return 0;
          //    while(n!=0){
          //        if(n%2==1){
          //            res = ((res)*(a));
          //        }
          //           n = n/2;
          //            a = ((a)*(a));
          //    }
             
          //    return res;
          //}
      //static long bin_exp_mod(long a,long n){
  	//    long mod = 998244353;
  	//    long res = 1;
  	//    a = a%mod;
  	//    if(a==0)
  	//    return 0;
  	//    while(n!=0){
  	//        if(n%2==1){
  	//            res = ((res%mod)*(a%mod))%mod;
  	//        }
  	//           n = n/2;
  	//            a = ((a%mod)*(a%mod))%mod;
  	//    }
  	//    res = res%mod;
  	//    return res;
  	//}
  //   static long gcd(long a,long b){
  //       if(a==0)
  //       return b;
  //       return gcd(b%a,a);
  //   }
  //   static long lcm(long a,long b){
  //       return (a/gcd(a,b))*b;
  //   }
  }
  class Pair{
      int x,y;
      Pair(int x,int y){
          this.x = x;
          this.y = y;
      }
  }
  //    public boolean equals(Object obj) {
  //        // TODO Auto-generated method stub
  //        if(obj instanceof Pair)
  //        {
  //            Pair temp = (Pair) obj;
  //            if(this.x.equals(temp.x) && this.y.equals(temp.y))
  //                return true;
  //        }
  //        return false;
  //    }
  
  //    @Override
  //    public int hashCode() {
  //        // TODO Auto-generated method stub
          
  //        return (this.x.hashCode() + this.y.hashCode());        
  //    }
  //}
  class Compar implements Comparator<Pair>{
      public int compare(Pair p1,Pair p2){
          if(p1.y>p2.y)
          return 1;
          else
          return -1;
      }
  }