A chess tournament will be held soon, where n chess players will take part. Every participant will play one game against every other participant. Each game ends in either a win for one player and a loss for another player, or a draw for both players.

Each of the players has their own expectations about the tournament, they can be one of two types:

  1. a player wants not to lose any game (i. e. finish the tournament with zero losses); 
  2. a player wants to win at least one game. 



You have to determine if there exists an outcome for all the matches such that all the players meet their expectations. If there are several possible outcomes, print any of them. If there are none, report that it's impossible.

Input

The first line contains a single integer t (1 ≤ t ≤ 200) — the number of test cases.

The first line of each test case contains one integer n (2 ≤ n ≤ 50) — the number of chess players.

The second line contains the string s (|s| = n; s_i ∈ \{1, 2\}). If s_i = 1, then the i-th player has expectations of the first type, otherwise of the second type.

Output

For each test case, print the answer in the following format:

In the first line, print NO if it is impossible to meet the expectations of all players.

Otherwise, print YES, and the matrix of size n × n in the next n lines.

The matrix element in the i-th row and j-th column should be equal to:

  * +, if the i-th player won in a game against the j-th player; 
  * -, if the i-th player lost in a game against the j-th player; 
  * =, if the i-th and j-th players' game resulted in a draw; 
  * X, if i = j. 

Example

Input


3
3
111
2
21
4
2122


Output


YES
X==
=X=
==X
NO
YES
X--+
+X++
+-X-
--+X

import java.util.*;
import java.lang.*;
import java.io.*;
import java.math.BigInteger;
import java.io.BufferedReader;
import java.io.BufferedWriter;
import java.io.DataInputStream;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.math.BigInteger;
import java.util.List;
import java.util.Map;
import java.util.Map.Entry;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.Iterator;
public class h
{		public static int mod=1000000007;
	 static class Reader {
		 
	        final private int BUFFER_SIZE = 1 << 16;
	        private DataInputStream din;
	        private byte[] buffer;
	        private int bufferPointer, bytesRead;
	 
	        public Reader()
	        {
	            din = new DataInputStream(System.in);
	            buffer = new byte[BUFFER_SIZE];
	            bufferPointer = bytesRead = 0;
	        }
	 
	        public Reader(String file_name) throws IOException
	        {
	            din = new DataInputStream(
	                new FileInputStream(file_name));
	            buffer = new byte[BUFFER_SIZE];
	            bufferPointer = bytesRead = 0;
	        }
	 
	        public String readLine() throws IOException
	        {
	            byte[] buf = new byte[64]; // line length
	            int cnt = 0, c;
	            while ((c = read()) != -1) {
	                if (c == '\n') {
	                    if (cnt != 0) {
	                        break;
	                    }
	                    else {
	                        continue;
	                    }
	                }
	                buf[cnt++] = (byte)c;
	            }
	            return new String(buf, 0, cnt);
	        }
	 
	        public int nextInt() throws IOException
	        {
	            int ret = 0;
	            byte c = read();
	            while (c <= ' ') {
	                c = read();
	            }
	            boolean neg = (c == '-');
	            if (neg)
	                c = read();
	            do {
	                ret = ret * 10 + c - '0';
	            } while ((c = read()) >= '0' && c <= '9');
	 
	            if (neg)
	                return -ret;
	            return ret;
	        }
	 
	        public long nextLong() throws IOException
	        {
	            long ret = 0;
	            byte c = read();
	            while (c <= ' ')
	                c = read();
	            boolean neg = (c == '-');
	            if (neg)
	                c = read();
	            do {
	                ret = ret * 10 + c - '0';
	            } while ((c = read()) >= '0' && c <= '9');
	            if (neg)
	                return -ret;
	            return ret;
	        }
	 
	        public double nextDouble() throws IOException
	        {
	            double ret = 0, div = 1;
	            byte c = read();
	            while (c <= ' ')
	                c = read();
	            boolean neg = (c == '-');
	            if (neg)
	                c = read();
	 
	            do {
	                ret = ret * 10 + c - '0';
	            } while ((c = read()) >= '0' && c <= '9');
	 
	            if (c == '.') {
	                while ((c = read()) >= '0' && c <= '9') {
	                    ret += (c - '0') / (div *= 10);
	                }
	            }
	 
	            if (neg)
	                return -ret;
	            return ret;
	        }
	 
	        private void fillBuffer() throws IOException
	        {
	            bytesRead = din.read(buffer, bufferPointer = 0,
	                                 BUFFER_SIZE);
	            if (bytesRead == -1)
	                buffer[0] = -1;
	        }
	 
	        private byte read() throws IOException
	        {
	            if (bufferPointer == bytesRead)
	                fillBuffer();
	            return buffer[bufferPointer++];
	        }
	 
	        public void close() throws IOException
	        {
	            if (din == null)
	                return;
	            din.close();
	        }
	 }
	 public static long gcd(long x, long p)
	    {
	        if (x == 0)
	            return p;
	         
	        return gcd(p%x, x);
	    }
	 public static HashMap<Integer, Integer> sortByValue(HashMap<Integer, Integer> hm)
	    {
	        // Create a list from elements of HashMap
	        List<Map.Entry<Integer, Integer> > list =
	               new LinkedList<Map.Entry<Integer, Integer> >(hm.entrySet());
	 
	        // Sort the list
	        Collections.sort(list, new Comparator<Map.Entry<Integer, Integer> >() {
	            public int compare(Map.Entry<Integer, Integer> o1,
	                               Map.Entry<Integer, Integer> o2)
	            {
	                return (o1.getValue()).compareTo(o2.getValue());
	            }
	        });
	         
	        // put data from sorted list to hashmap
	        HashMap<Integer, Integer> temp = new LinkedHashMap<Integer, Integer>();
	        for (Map.Entry<Integer, Integer> aa : list) {
	            temp.put(aa.getKey(), aa.getValue());
	        }
	        return temp;
	    }
	 static int sieve =  1000000 ;


	 static boolean[] prime =  new boolean[sieve + 1] ;

	 public static void sieveOfEratosthenes() 
	     { 
	         // FALSE == prime and 1 // TRUE ==  COMPOSITE
	         
	         // time complexity = 0(NlogLogN)== o(N)
	         
	         // gives prime nos bw 1 to N // size - 1e7(at max)
	         
	         for(int i = 4; i<= sieve ; i++)
	         {
	             prime[i] = true  ; i++ ;
	            
	         }
	         
	         for(int p = 3; p*p <= sieve; p++) 
	         { 
	            if(prime[p] == false) 
	             { 
	                     for(int i = p*p; i <= sieve; i += p) 
	                     prime[i] = true; 
	             } 
	             
	             p++ ;
	         } 
	           
	     } 
	 public static void arrInpInt(int [] arr, int n) throws IOException
	 {
		 Reader reader = new Reader();
		 for(int i=0;i<n;i++)
	   		{
	   			arr[i]=reader.nextInt();	
	   		}
	 }
	 public static void arrInpLong(long [] arr, int n) throws IOException
	 {
		 Reader reader = new Reader();
		 for(int i=0;i<n;i++)
	   		{
	   			arr[i]=reader.nextLong();	
	   		}
	 }
	 public static void printArr(int[] arr)
	 {
		 for(int i=0;i<arr.length;i++)
		 {
			 System.out.print(arr[i]+" ");
		 }
		 System.out.println();
	 }
	 public static int[] decSort(int[] arr)
	 {
		  int[] arr1 = Arrays.stream(arr).boxed().sorted(Collections.reverseOrder()).mapToInt(Integer::intValue).toArray();	
		  return arr1;
	 }
	 
	
	//if present - return the first occurrence of the no
	//not present- return the index of next greater value 
	//if greater than all the values return N(taking high=N-1)
	//if smaller than all the values return 0(taking low =0)
	static int lower_bound(int arr[], int low,int high, int X)
	{

	 if (low > high) {
	     return low;
	 }
	 int mid = low + (high - low) / 2;
	 if (arr[mid] >= X) {
	     return lower_bound(arr, low,
	                        mid - 1, X);
	 }

	 return lower_bound(arr, mid + 1,
	                    high, X);
	}
	//if present - return the index of next greater value
	//not present- return the index of next greater value 
	//if greater than all the values return N(taking high=N-1)
	//if smaller than all the values return 0(taking low =0)\
	
	static int upper_bound(int arr[], int low, int high, int X)
{

if (low > high)
    return low;

int mid = low + (high - low) / 2;
if (arr[mid] <= X) {
    return upper_bound(arr, mid + 1,
                       high, X);
}

return upper_bound(arr, low,
                   mid - 1, X);
}
	
	
	 public static class Pair  {// comparator with class
		    int x;
		    int y;
		 public Pair(int x, int y)
		    {
		        this.x = x;
		        this.y = y;
		    }
		}
	 
	 public static void sortbyColumn(int arr[][], int col)  // send 2d array and col no
	    {
	        Arrays.sort(arr, new Comparator<int[]>() {       
	          @Override              
	          public int compare(final int[] entry1, 
	                             final int[] entry2) {
	            if (entry1[col] > entry2[col])
	                return 1;
	            else if (entry1[col] < entry2[col])
	                return -1;
	              else return 0;
	          }
	        });
	    }
	 public static void sortbyColumn1(int arr[][], int col)  // send 2d array and col no
	    {
	        Arrays.sort(arr, new Comparator<int[]>() {       
	          @Override              
	          public int compare(final int[] entry1, 
	                             final int[] entry2) {
	            if (entry1[col] > entry2[col])
	                return 1;
	            else if (entry1[col] < entry2[col])
	                return -1;
	            else if(entry1[col] == entry2[col])
	            {
	            	if(entry1[col+1]>entry2[col+1])
	            		return -1;
	            	else if(entry1[col+1]<entry2[col+1])
	            		return 1;
	            	else return 0;
	            }
	              else return 0;
	          }
	        });
	    }
	     public static void print2D(char mat[][])
	    {
	        // Loop through all rows
	        for (int i = 0; i < mat.length; i++)
	 
	        {  // Loop through all elements of current row
	        {
	            for (int j = 0; j < mat[i].length; j++)
	                System.out.print(mat[i][j]);
	        }
	            System.out.println();
	        }
	    }
	     
	    public static class  p
	     {
	    	 int no;
	    	 int h;
	    	 public p(int no, long h)
	    	 {
	    		 this.no=no;
	    		 this.h=(int) h;
	    	 }
	     }
	    
	  static    class com implements Comparator<p>{
	            public int compare(p s1, p s2) {
	                if (s1.h > s2.h)
	                    return -1;
	                else if (s1.h < s2.h)
	                    return 1;
	                else if(s1.h==s2.h)
	                {
	                	if(s1.no<s2.no)return -1;
	                	else return 1;
	                }
	                                return 0;
	                }
	        }
	  

	  
 	public static void main(String args[]) throws NumberFormatException, IOException ,java.lang.Exception
	{
		
		//Reader reader = new Reader();
		
		
		//sieveOfEratosthenes();
		//System.out.println(prime[0]+" "+prime[1]+" "+prime[2]+" "+prime[3]+" "+prime[4]);
		//Scanner reader=new Scanner(System.in);
		//BufferedWriter output = new BufferedWriter(new OutputStreamWriter(System.out));
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		int cases=Integer.parseInt(br.readLine());
		//int cases=1;
		
		//int cases=reader.nextInt();
		
   	while (cases-->0){
   		//int N=reader.nextInt();
   		//int K=reader.nextInt();
   		//int[][] arr=new int[N][N];
   		//int M=reader.nextInt();
   		//int X=reader.nextInt();
   		//int K=reader.nextInt();
   		//int S=reader.nextInt();
   		//int circum=reader.nextInt();
   		//int K=reader.nextInt();
   		int N=Integer.parseInt(br.readLine());
   		//String[] first=br.readLine().split(" ");
   		//int N=Integer.parseInt(first[0]);
   		//int K=Integer.parseInt(first[1]);
   		//int X=reader.nextInt();
   		//int Y=reader.nextInt();
   		String s2=br.readLine();
   		char[]  s11=s2.toCharArray();
   		//char[]  s12=s2.toCharArray();
    	//int max=Integer.MIN_VALUE;
   		//int min=Integer.MAX_VALUE;
   		//int ind=-1;
   		//HashMap<Integer,Boolean> map1=new HashMap<Integer,Boolean>();
   		//HashMap<Integer,Integer> boy=new HashMap<Integer,Integer>();
   		//HashMap<Integer,Integer> girl=new HashMap<Integer,Integer>();
   		//TreeMap<Integer, Integer> tree =new TreeMap<Integer, Integer>(); 
   		//HashSet<Integer> map=new HashSet<Integer>();
   		//int[] arr=new int[N];
   		//int[] arr1=new int[N];
   		//ArrayList<Integer> no=new ArrayList<Integer>();
   		//ArrayList<Long> sum=new ArrayList<Long>();
   		char [][] arr=new char[N][N];
        //System.out.println(map);
   		//PriorityQueue<p> Q=new PriorityQueue<p>(new com());
   		//PriorityQueue<Integer> w=new PriorityQueue<Integer>();
   		
   		//System.out.println("Strings are : "+a1+" "+a2);
   		//print2D(arr);
   		boolean correct=true;
   		for(int i=0;i<N;i++)
   		{
   			
   			for(int j=0;j<N;j++)
   			{
   				if(i==j)arr[i][j]='X';
   				else if((s11[i]=='1' || s11[j]=='1')&& arr[i][j]!='X')
   				{
   					arr[i][j]='=';
   					arr[j][i]='=';
   				}
   				else arr[i][j]='*';
   			}	
   		}
   		//print2D(arr);
   		
   		for(int i=0;i<N;i++)
   		{
   			boolean  ticked=false;
   			boolean hasTwo= false;
   			
   			for(int j=0;j<N;j++)
   			{
   				
   		 if(s11[i]=='2')
			{
   			 //System.out.println(j);
				hasTwo=true;
				if(arr[i][j]=='+')ticked=true;
				else if(arr[i][j]=='*'&&!ticked )
				{
					arr[i][j]='+';
					arr[j][i]='-';
					ticked=true;
					//System.out.println(j);
				}
				else if (arr[i][j]=='*'&& ticked )
				{
					arr[i][j]='-';
					arr[j][i]='+';
					ticked =true;
				}
			}
			
   			}
   			if(hasTwo && !ticked)
			{
				correct=false;
				break;
			}
   			if(!correct)
   			{
   				break;
   			}
   			
   		}
   		//print2D(arr);
   		if(correct)
   		{
   			System.out.println("YES");
   			print2D(arr);
   		}
   		else
   		{
   			System.out.println("NO");
   		}
   		
   
   		
   				
   		
   	//	System.out.println(max);
   		
   	
   		
   	}}}
   	