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.math.*;
import java.util.*;
import java.io.*;
 
 
 
public class main
{
  static Map<String,Integer> map=new HashMap<>();
             static int[] parent;
         static  int[] size;
    public static void main(String[] args)
    {
        InputReader in = new InputReader(System.in);
        PrintWriter pw = new PrintWriter(System.out);
         final int mod=1000000007;
        int test_case =in.nextInt();
                    StringBuilder sb=new StringBuilder();
      for(int t1=0;t1<test_case;t1++)
      {
          int n=in.nextInt();
          
          String s=in.nextLine();
          char[][] c=new char[n][n];
       List<Integer>  ls=new ArrayList<>();
          
          int one=0;
          int two=0;
          for(int i=0;i<s.length();i++)
          {
              if(s.charAt(i)=='2')
              {
                  two++;
              }else{
                  one++;
              }
          }
          
          if(two==0||two>2)
          {
              
              System.out.println("YES");
             for(int i=0;i<n;i++)
             {
              c[i][i]='X';   
            
            
             if(s.charAt(i)=='1')
             {
                 
                 for(int j=0;j<n;j++)
                 {
                     if(i!=j)
                     {
                          
                         c[i][j]='=';
                         c[j][i]='=';
                           
                     }
                 }
                 
             }else{
                 ls.add(i);
             }
                 
             }
              
              
              for(int i=0;i<ls.size()-1;i++)
              {
                  int i1=ls.get(i);
                  int i2=ls.get(i+1);
                  c[i1][i2]='+';
                  c[i2][i1]='-';
              }
              if(two>0){
              c[ls.get(ls.size()-1)][ls.get(0)]='+';
                                    c[ls.get(0)][ls.get(ls.size()-1)]='-';
              }
              
               for(int i=0;i<n;i++)
               {
              for(int j=0;j<n;j++)
              {
                  if(c[i][j]!='+'&&c[i][j]!='X'&&c[i][j]!='-')
                  {
                      c[i][j]='=';
                  }
              }
               }          
               for(int i=0;i<n;i++)
               {
                  for(int j=0;j<n;j++)
                  {
                      System.out.print(c[i][j]);
                  }
              System.out.println();
               }
          
          }else{
             System.out.println("NO");
          }
          
         
         
          
        
     
          
      }

    
        pw.flush();
        pw.close();
    }
    
    static void ProblemA2(boolean f,int c,int min,char key,Map<Character,List<Character>> map,char target,char temp,A2 a2,Set<Character>  set)
    {
                      // System.out.println(temp);
        
        
        if(map.containsKey(key))
        {
            
            set.add(key);
            
            for(Character value:map.get(key))
            {
                
                c++;
                
                if(set.contains(value))
                {
                    return;
                }
                
                
               // System.out.println(value+" "+target);
                if(value==target)
                {
                    f=f||true;
                    min=Math.min(c,min);
                 //           System.out.println(f+" "+min);
                    a2.f=f||a2.f;
                    a2.min=Math.min(min,a2.min);
                }else if(value==temp){
                    f=f||false;
                    a2.f=f||a2.f;
                    a2.min=Math.min(min,a2.min);
                    break;
                    
                }else{
                    

                    ProblemA2(f,c,min,value,map,target,temp,a2,set);
                    
                   // return a2;
                     
                }
               // set.remove(value);
               c--;
            }
            
            set.remove(key);
        }
     //   System.out.println(a2.f+" "+a2.min);

        
    }
    
    static class A2{

        boolean f;
        int min=0;
        A2(boolean f,int min)
        {
            this.f=f;
            this.min=min;
        }
        
    }
    
   static boolean backtrack(int i,int j,int[][] a,int[][] gol,int n,Set<String> set,int parentx,int parenty)
    {
       System.out.println(i+" "+j);
       
        if(Arrays.equals(a,gol))
        {
            return true;
        }
        
        boolean f=false;
        
        int[] dx={-1,0,0,1};
        int[] dy={0,-1,1,0};
         set.add(i+"root"+j);
        for(int k=0;k<dx.length;k++)
        {
           
            
            
            if((i+dx[k])>=0&&(i+dx[k])<n&&(j+dy[k])>=0&&(j+dy[k])<n)
            {
                if(i+dx[k]==parentx&&j+dy[k]==parenty||set.contains((i+dx[k])+"root"+(j+dy[k])))
                {
                  continue;
                }
                
               //  System.out.println((i+dx[k])+" "+(j+dy[k]));
                int temp=a[i][j];
                a[i][j]=a[i+dx[k]][j+dy[k]];
                a[i+dx[k]][j+dy[k]]=temp;
                f=backtrack(i+dx[k],j+dy[k],a,gol,n,set,i,j);
                if(f)
                {
                    System.out.println(temp+" "+a[i][j]);
                    return f;
                }
                temp=a[i][j];
                a[i][j]=a[i+dx[k]][j+dy[k]];
                a[i+dx[k]][j+dy[k]]=temp;
            }
        }
       // visited[i][j]=false;
        return f;
        
        
        
    }
    
    static int find_parent(int p)
    {
 
        if(p==parent[p])
        {
            return p;
        }
        return parent[p]=find_parent(parent[p]);
    }
    
    static void set_union(int x,int y)
    {
        if(size[x]<size[y])
        {
            swap(x,y);
        }
        
        parent[y]=x;
        size[x]+=size[y];
    }
    
    static boolean bipartite(int i,List<List<Integer>> ls,boolean[] visited,int[] color, int x)
    {
        
        color[i]=x;
        visited[i]=true;
        
        for(int x1:ls.get(i))
        {
            
           // System.out.println(visited[x1]+" "+color[x1]==x);
            
            if(visited[x1]&&color[x1]==x)
            {
                return false;
            }
            
            if(!visited[x1])
            {
              return  bipartite(x1,ls,visited,color,(x==-1?1:-1));
            }
        }
        
        return true;
        
    }
    
    
    static boolean isDirectedCycle(List<Integer> stack,boolean[] visited,List<List<Integer>>  ls)
    {
        int i=stack.get(stack.size()-1);
        visited[i]=true;
        for(int x:ls.get(i))
        {
             stack.add(x);
            if(!visited[x]&&isDirectedCycle(stack,visited,ls))
            {
                return true;
            }
            
            if(stack.contains(x))
            {
                return true;
            }
            stack.remove(stack.size()-1);
           
            
        }
        
        return false;
    }
    
    static boolean isCyclic(int i,List<List<Integer>> ls,boolean[] visited,int parent)
    {
        visited[i]=true;
        for(int x:ls.get(i))
        {
            if(x!=parent){
                
                if(visited[x])
                {
                    return true;
                }
                
                if(!visited[x]&&isCyclic(x,ls,visited,i))
                {
                    return true;
                }
                
            }
            
            
        }
        
        return false;
    }
    
    static void dfs(List<List<Integer>> ls,boolean[] f,List<Integer> stack)
    {
        int x=stack.remove(stack.size()-1);
        System.out.print(x+"->");
        f[x]=true;
        for(int x1:ls.get(x))
        {
            if(!f[x1])
            {
                stack.add(x1);
                dfs(ls,f,stack);
            }
            
        }
        
    }
    
    static int factorial(int n,int mod)
    {
        long res = 1;
        for (int i=2; i<=n; i++)
            res=((res%mod)*(i%mod))%mod;
        return (int)res;
    }
    
 
 
    
    static int length(long l)
    {
        int c=0;
        while(l>0)
        {
            c++;
            l/=2;
        }
        
        return c;
    }
 
    
    static int CeilIndex(int A[], int l, int r, int key) 
    { 
        while (r - l > 1) { 
            int m = l + (r - l) / 2; 
            if (A[m] <= key) 
                r = m; 
            else
                l = m; 
        } 
  
        return r; 
    } 
    static int LongestIncreasingSubsequenceLength(int A[], int size) 
    { 
        // Add boundary case, when array size is one 
  
        int[] tailTable = new int[size]; 
        int len; // always points empty slot 
  
        tailTable[0] = A[0]; 
        len = 1; 
        for (int i = 1; i < size; i++) { 
            if (A[i] > tailTable[0]) 
 
                tailTable[0] = A[i]; 
  
            else if (A[i] <= tailTable[len - 1]) 
 
                tailTable[len++] = A[i]; 
  
            else
 
                tailTable[CeilIndex(tailTable, -1, len - 1, A[i])] = A[i]; 
        } 
  
        return len; 
    }
    
 
    
    static int[] next(int arr[], int n) { 
 
        Stack<Integer> S = new Stack<>(); 
  
        int[] next=new int[n];
 
        for (int i = n-1; i >= 0; i--) { 
 
            while (!S.empty() && arr[S.peek()] <= arr[i]) { 
                S.pop(); 
 
            } 
            if (S.empty()) { 
                next[i]=-1;
            } 
            else 
            { 
 
                next[i]=S.peek(); 
            } 
            S.push(i); 
        } 
        return next;
    }
    static int[] back(int arr[], int n) { 
 
        Stack<Integer> S = new Stack<>(); 
  
        int[] back=new int[n];
 
        for (int i = 0; i < n; i++) { 
 
            while (!S.empty() && arr[S.peek()] < arr[i]) { 
                S.pop(); 
            } 
            if (S.empty()) { 
                back[i]=-1;
            } 
            else 
            { 
                back[i]=S.peek(); 
            } 
            S.push(i); 
        } 
        
        return back;
    }
 
    
    
 
    static class InputReader
    {
 
        private final InputStream stream;
        private final byte[] buf = new byte[8192];
        private int curChar, snumChars;
        private SpaceCharFilter filter;
 
        public InputReader(InputStream stream)
        {
            this.stream = stream;
        }
 
        public int snext()
        {
            if (snumChars == -1)
                throw new InputMismatchException();
            if (curChar >= snumChars)
            {
                curChar = 0;
                try
                {
                    snumChars = stream.read(buf);
                }
                catch (IOException e)
                {
                    throw new InputMismatchException();
                }
                if (snumChars <= 0)
                    return -1;
            }
            return buf[curChar++];
        }
 
        public int nextInt()
        {
            int c = snext();
            while (isSpaceChar(c))
            {
                c = snext();
            }
            int sgn = 1;
            if (c == '-')
            {
                sgn = -1;
                c = snext();
            }
            int res = 0;
            do
            {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
 
        public long nextLong()
        {
            int c = snext();
            while (isSpaceChar(c))
            {
                c = snext();
            }
            int sgn = 1;
            if (c == '-')
            {
                sgn = -1;
                c = snext();
            }
            long res = 0;
            do
            {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = snext();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
 
        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;
        }
 
        public String readString()
        {
            int c = snext();
            while (isSpaceChar(c))
            {
                c = snext();
            }
            StringBuilder res = new StringBuilder();
            do
            {
                res.appendCodePoint(c);
                c = snext();
            } while (!isSpaceChar(c));
            return res.toString();
        }
 
        public String nextLine()
        {
            int c = snext();
            while (isSpaceChar(c))
                c = snext();
            StringBuilder res = new StringBuilder();
            do
            {
                res.appendCodePoint(c);
                c = snext();
            } while (!isEndOfLine(c));
            return res.toString();
        }
 
        public boolean isSpaceChar(int c)
        {
            if (filter != null)
                return filter.isSpaceChar(c);
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
 
        private boolean isEndOfLine(int c)
        {
            return c == '\n' || c == '\r' || c == -1;
        }
 
        public interface SpaceCharFilter
        {
            public boolean isSpaceChar(int ch);
        }
    }
 
    public static long mod = 1000000007;
    public static int d;
    public static int p;
    public static int q;
 
    public static int[] suffle(int[] a,Random gen)
    {
        int n = a.length;
        for(int i=0;i<n;i++)
        {
            int ind = gen.nextInt(n-i)+i;
            int temp = a[ind];
            a[ind] = a[i];
            a[i] = temp;
        }
        return a;
    }
 
    public static void swap(int a, int b){
        int temp = a;
        a = b;
        b = temp;
    }
 
    public static HashSet<Integer> primeFactorization(int n)
    {
        HashSet<Integer> a =new HashSet<Integer>();
        for(int i=2;i*i<=n;i++)
        {
            while(n%i==0)
            {
                a.add(i);
                n/=i;
            }
        }
        if(n!=1)
            a.add(n);
        return a;
    }
 
    public static void sieve(boolean[] isPrime,int n)
    {
        for(int i=1;i<n;i++)
            isPrime[i] = true;
 
        isPrime[0] = false;
        isPrime[1] = false;
 
        for(int i=2;i*i<n;i++)
        {
            if(isPrime[i] == true)
            {
                for(int j=(2*i);j<n;j+=i)
                    isPrime[j] = false;
            }
        }
    }
 
    public static int GCD(int a,int b)
    {
        if(b==0)
            return a;
        else
            return GCD(b,a%b);
    }
 
    public static long GCD(long a,long b)
    {
        if(b==0)
            return a;
        else
            return GCD(b,a%b);
    }
 
    public static void extendedEuclid(int A,int B)
    {
        if(B==0)
        {
            d = A;
            p = 1 ;
            q = 0;
        }
        else
        {
            extendedEuclid(B, A%B);
            int temp = p;
            p = q;
            q = temp - (A/B)*q;
        }
    }
 
    public static long LCM(long a,long b)
    {
        return (a*b)/GCD(a,b);
    }
 
    public static int LCM(int a,int b)
    {
        return (a*b)/GCD(a,b);
    }
 
    public static int binaryExponentiation(int x,int n)
    {
        int result=1;
        while(n>0)
        {
            if(n % 2 ==1)
                result=result * x;
            x=x*x;
            n=n/2;
        }
        return result;
    }
    int binarySearch(int arr[], int l, int r, int x) 
    { 
        if (r >= l) { 
            int mid = l + (r - l) / 2; 
  
 
            if (arr[mid] == x) 
                return mid; 
  
 
            if (arr[mid] > x) 
                return binarySearch(arr, l, mid - 1, x); 
  
 
            return binarySearch(arr, mid + 1, r, x); 
        } 
  
 
        return -1; 
    } 
  
 
    public static long binaryExponentiation(long x,long n)
    {
        long result=1;
        while(n>0)
        {
            if(n % 2 ==1)
                result=result * x;
            x=x*x;
            n=n/2;
        }
        return result;
    }
 
    public static int modularExponentiation(int x,int n,int M)
    {
        int result=1;
        while(n>0)
        {
            if(n % 2 ==1)
                result=(result * x)%M;
            x=(x*x)%M;
            n=n/2;
        }
        return result;
    }
 
    public static long modularExponentiation(long x,long n,long M)
    {
        long result=1;
        while(n>0)
        {
            if(n % 2 ==1)
                result=(result * x)%M;
            x=(x*x)%M;
            n=n/2;
        }
        return result;
    }
 
    public static int modInverse(int A,int M)
    {
        return modularExponentiation(A,M-2,M);
    }
 
    public static long modInverse(long A,long M)
    {
        return modularExponentiation(A,M-2,M);
    }
 
    public static boolean isPrime(int n)
    {
 
        if (n <= 1)  return false;
        if (n <= 3)  return true;
 
        if (n%2 == 0 || n%3 == 0)
            return false;
 
        for (int i=5; i*i<=n; i=i+6)
        {
            if (n%i == 0 || n%(i+2) == 0)
                return false;
        }
 
        return true;
    }
    static class Pair
    {
        int  x;
        int  y;
    }
 
    static class pair implements Comparable<pair>
    {
        Integer x, y;
        pair(int x,int y)
        {
            this.x=x;
            this.y=y;
        }
 
        public int compareTo(pair o) {
            int result = x.compareTo(o.x);
            if(result==0)
                result = y.compareTo(o.y);
 
            return result;
        }
 
        public String toString()
        {
            return x+" "+y;
        }
 
        public boolean equals(Object o)
        {
            if (o instanceof pair)
            {
                pair p = (pair)o;
                return (Math.abs(p.x-x)==0 && Math.abs(p.y-y)==0);
            }
            return false;
        }
 
        public int hashCode()
        {
            return new Long(x).hashCode()*31 + new Long(y).hashCode();
        }
    }
}