Problem: Let's call some square matrix with integer values in its cells palindromic if it doesn't change after the order of rows is reversed and it doesn't change after the order of columns is reversed.

For example, the following matrices are palindromic:

<image>

The following matrices are not palindromic because they change after the order of rows is reversed:

<image>

The following matrices are not palindromic because they change after the order of columns is reversed:

<image>

You are given n^2 integers. Put them into a matrix of n rows and n columns so that each number is used exactly once, each cell contains exactly one number and the resulting matrix is palindromic. If there are multiple answers, print any. If there is no solution, print "NO".

Input

The first line contains one integer n (1 ≤ n ≤ 20).

The second line contains n^2 integers a_1, a_2, ..., a_{n^2} (1 ≤ a_i ≤ 1000) — the numbers to put into a matrix of n rows and n columns.

Output

If it is possible to put all of the n^2 numbers into a matrix of n rows and n columns so that each number is used exactly once, each cell contains exactly one number and the resulting matrix is palindromic, then print "YES". Then print n lines with n space-separated numbers — the resulting matrix.

If it's impossible to construct any matrix, then print "NO".

You can print each letter in any case (upper or lower). For example, "YeS", "no" and "yES" are all acceptable.

Examples

Input


4
1 8 8 1 2 2 2 2 2 2 2 2 1 8 8 1


Output


YES
1 2 2 1
8 2 2 8
8 2 2 8
1 2 2 1


Input


3
1 1 1 1 1 3 3 3 3


Output


YES
1 3 1
3 1 3
1 3 1


Input


4
1 2 1 9 8 4 3 8 8 3 4 8 9 2 1 1


Output


NO


Input


1
10


Output


YES
10 

Note

Note that there exist multiple answers for the first two examples.

Solution (in JAVA):

Solution:



import java.io.*;
import java.util.*;
import java.math.BigInteger; 
import java.lang.*;




public class Main {
    
    
    static class sort1 implements Comparator<List<Integer>>
   {
        public int compare(List<Integer>  a,List<Integer> b)
        {
            
            return (a.size() - b.size());
        }
   }
    
   static class sort implements Comparator<int[]>
   {
        public int compare(int[] a,int[] b)
        {
            
            return b[1]-a[1];
        }
   }
    static class sortP implements Comparator<int[]>
   {
        public int compare(int[] a,int[] b)
        {
            
            return -b[0]+a[0];
        }
   }
   static class sort2p implements Comparator<long[]>
   {
        public int compare(long[] a,long[] b)
        {
            
          return (int)(a[0]-b[0]);
        }
   }
  
   static class sort11 implements Comparator<double[]>
   {
        public int compare(double[] a,double[] b)
        {
            //if(a[0] == b[0]) return a[1]-b[1];
           if(a[1] < b[1]) return -1;
           else if(a[1] > b[1]) return 1;
           return 0;
        }
   }
   public static String[] F(BufferedReader bf) throws Exception
    {
        return (bf.readLine().split(" "));
    }
    
   public static void pr(PrintWriter out,Object o)
   {
      
    out.println(o.toString());//out.flush();
    
   }
   public static void prW(PrintWriter out,Object o)
   {
      
    out.print(o.toString());//out.flush();
    
   }
   public static int intIn(String st)
   {
      return Integer.parseInt(st);
   }
   
   
    
    public static void pr(Object o)
    {
        System.out.println(o.toString());
    }
    public static void prW(Object o)
    {
        System.out.print(o.toString());
    }
    
   
    public static int inInt(String s)
    {
        return Integer.parseInt(s);
    }
    public static long in(String s)
    {
        return Long.parseLong(s);
    }
 
 
    static int[] toIntArray(String[] m) 
    { 
        int[] p=new int[m.length];
        for(int o=0;o<m.length;o++)
        {
            p[o]= inInt(m[o]);
        }
        return p;
    }
    static double[] toDArray(String[] m) 
    { 
        double[] p=new double[m.length];
        for(int o=0;o<m.length;o=0)
        {
            p[o]= Double.parseDouble(m[o]);
        }
        return p;
    }
    static long[] toLArray(String[] m) 
    { 
       long[] p=new long[m.length];
        for(int o=0;o<m.length;o++)
        {
            p[o]= in(m[o]);
        }
        return p;
    }
   
     static long gcd(long a, long b)
        {
          if (b == 0)
            return a;
          return gcd(b, a % b); 
        }
     
        static long pow(long x, long y, long p)
      {
        if(y == 0) return 1l;
        long res = 1; // Initialize result
     
        x = x % p; // Update x if it is more than or
        // equal to p
     
        if (x == 0)
          return 0l; // In case x is divisible by p;
     
        while (y > 0)
        {
     
          // If y is odd, multiply x with result
          if ((y & 1) != 0)
            res = (res * x) % p;
     
          // y must be even now
          y = y >> 1; // y = y/2
          x = (x * x) % p;
        }
        return res;
      }
    
   
    

   
   

   
    static long __gcd(long n1, long n2)
    {

        if(n1==0l) return n2;
        if(n2==0l) return n1;
        if(n1==1l || n2==1l) return 1l;
       // long gcd = 1;
        if(n1 == n2)  return n1;
        if(n1>n2) return __gcd(n1%n2,n2);
        return __gcd(n1,n2%n1);
        
    }
    
   
    
    

    public static int F(int i,int last,Integer[][][] dp,int[] arr,int[][] dis,int len){
      int n = arr.length;
      if(i>=arr.length){
        if(len <= 1) return 2*arr.length;
        return 0;

      }

      if(dp[i][last][len] != null)  return dp[i][last][len];
      int res=arr.length;
      int p;
      if(last == n){

        res=Math.min(res,F(i+1,last,dp,arr,dis,len));
        if(len == 0) p=1;
        else p=2;

        res=Math.min(res,F(i+1,i,dp,arr,dis,p));

      }
      else{

        res=Math.min(res,F(i+1,last,dp,arr,dis,len));

        if(len == 0) p=1;
        else p=2;
        if(dis[arr[last]][i] == (i-last+1))
        res=Math.min(res,F(i+1,arr[i],dp,arr,dis,p));

      }

      dp[i][last][len] = res;return res;
 
    }
    public static long F(int i,int last,int c,Long[][][] dp,long[] size,long[] p){
      int n=size.length;
      if(i >= n){
          if(c < 3) return 1000000000000l;
          return 0;

      }
      if(c >= 3) return 0l; 
      if(dp[i][last][c] != null)  return dp[i][last][c];
      
      long re = F(i+1,last,c,dp,size,p);
      if(last == n || (size[last]<size[i]) ){ 
        if(c<3)
        re=Math.min(re,F(i+1,i,c+1,dp,size,p)+p[i]);
      }
      dp[i][last][c] = re;return re;

    }
    public static  boolean F(int i,int j,int p,Boolean[][][] dp,int[][] arr){
        if(i<0 || i>1 || j<0) return false;
        
        if(j >= arr[0].length){
          boolean ans = false;
          //System.out.println(i+" "+j);
          if(i == 1 && p == 0) ans =  true;

         return ans;
        }

        if(dp[i][j][p] != null)  return dp[i][j][p];
        boolean res=false;
        int v = arr[i][j];
        if(v == 0 || v==1){

           if(p == 0){
              res = F(i,j+1,0,dp,arr) || res;

           }
           // else if(p == 1){
           //  res = F(i,j-1,0,dp,arr) || res;
            
           // }
          //  else if(p == 2){
          //    res = F(i+1,j,2,dp,arr) || res;
            
          //  }
          // else if(p == 3){
          //      res = F(i-1,j,3,dp,arr) || res;            
          //  }

        }
        else{

          if(p == 0){
              res = F(i-1,j,3,dp,arr) || res;
              res = F(i+1,j,2,dp,arr) || res;

           }
           // else if(p == 1){
           //  res = F(i-1,j,2,dp,arr) || res;
           //    res = F(i+1,j,3,dp,arr) || res;
            
           // }
           else if(p == 2){
            // res = F(i,j-1,0,dp,arr) || res;
              res = F(i,j+1,0,dp,arr) || res;
            
           }
          else if(p == 3){
                //res = F(i,j-1,0,dp,arr) || res;
              res = F(i,j+1,0,dp,arr) || res;         
           }

        }

        dp[i][j][p] = res;return res;
    } 
    public static void main (String[] args) throws Exception {
        
        BufferedReader bf=new BufferedReader(new InputStreamReader(System.in));
        PrintWriter out = new PrintWriter(System.out);;;//
        
        //int[] map=new int[1000001];
      
       int yy=1;//inInt(bf.readLine());
       


        
        
        
        for(int w=0;w<yy;w++)
        {
             //String str = bf.readLine();
          //char[] arr = bf.readLine().toCharArray();
          out.flush();
         
            String[] xlp = bf.readLine().split(" ");
            
            //String st = bf.readLine();
         int  n;//boolean bol=false;
          long  m;//long a,b,c;
         long k;
          // int l;
           //int double avg  k;//pr(out,"vbc");
       // boolean bol = false;
           //long mod=1000000000+7
       n=inInt(xlp[0]);//m=in(xlp[1]);long op=in(xlp[2]);//int j=in(xlp[3]);//long k=in(xlp[4]);  
       

       
      int[] arr = toIntArray(F(bf));

      int[][] res=new int[n][n];

      int[] count=new int[1001];
      
      for(int i : arr) {
        count[i]++;
      }

     
      int c= 0;boolean bol=true;
      for(int i=0;i<n/2;i++){
        for(int j=0;j<n/2;j++){
          int v=-1;
          for(int l=0;l<1001;l++){
            if(count[l] >= 4){
              v = l;
              count[l]-=4;break;
            }
          }
          if(v == -1){
            bol=false;break;
          }
          
          res[i][j] = v;
          res[i][n-j-1] = v;
          res[n-i-1][j] = v;
          res[n-i-1][n-j-1] = v;   
        }
      }
      if(!bol) {
        pr(out,"No");continue;
      }
      if((n%2) != 0){
        int r = n/2;
        for(int j=0;j<n/2;j++){
         int v=-1;
          for(int l=0;l<1001;l++){
            if(count[l] >= 2){
              v =l;
              count[l]-=2;break;
            }
          }
          if(v == -1){
            bol=false;break;
          }
          
          res[r][j] = v;
          res[r][n-j-1] = v;
          
          

        }
        for(int j=0;j<n/2;j++){
          int v=-1;
          for(int l=0;l<1001;l++){
            if(count[l] >= 2){
              v = l;
              count[l]-=2;break;
            }
          }
          if(v == -1){
            bol=false;break;
          }
          
          res[j][r] = v;
          res[n-j-1][r] = v;
          

        }
        int v=-1;
          for(int l=0;l<1001;l++){
            if(count[l] >= 1){
              v = l;
              count[l]-=1;break;
            }
          }
        if(v == -1){
            bol=false;
          }
        res[n/2][n/2] = v;
        
          
        for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
              if(res[i][j] < 0) {
                bol=false;break;
              }
            }
            
          }
        if(bol){
          pr(out,"Yes");
          for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
              prW(out,res[i][j]+" ");
            }
            pr(out,"");
          }
        }
        else{

          pr(out,"No");

        }

      }
      else{
        for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
              if(res[i][j] < 0) {
                bol=false;break;
              }
            }
            
          }
         if(!bol){
          pr(out,"No");continue;
         } 
        pr(out,"Yes");
          for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
              prW(out,res[i][j]+" ");
            }
            pr(out,"");
          }

      }


      

       
           


       



      




       

       



   }
    out.close();
   bf.close();//
       
}}


/*


Kickstart
 String rp;
            rp = "Case #"+(w+1)+": "+(n-ans)+" ";
static int[][] dir={{0,1},{1,0},{-1,0},{0,-1}};

static class SegmentTreeRMQ 
    { 
    int st[]; 
    int minVal(int x, int y) { 
        return (x > y) ? x : y; 
    } 
  
    
    int getMid(int s, int e) { 
        return s + (e - s) / 2; 
    } 
  
    
    int RMQUtil(int ss, int se, int qs, int qe, int index) 
    { 
        
        if (qs <= ss && qe >= se) 
            return st[index]; 
  
        // If segment of this node is outside the given range 
        if (se < qs || ss > qe) 
            return Integer.MIN_VALUE; 
  
        // If a part of this segment overlaps with the given range 
        int mid = getMid(ss, se); 
        return minVal(RMQUtil(ss, mid, qs, qe, 2 * index + 1), 
                RMQUtil(mid + 1, se, qs, qe, 2 * index + 2)); 
    } 
  
    // Return minimum of elements in range from index qs (query 
    // start) to qe (query end).  It mainly uses RMQUtil() 
    int RMQ(int n, int qs, int qe) 
    { 
        // Check for erroneous input values 
        
  
        return RMQUtil(0, n - 1, qs, qe, 0); 
    } 
  
    // A recursive function that constructs Segment Tree for 
    // array[ss..se]. si is index of current node in segment tree st 
    int constructSTUtil(int arr[], int ss, int se, int si) 
    { 
        // If there is one element in array, store it in current 
        //  node of segment tree and return 
        if (ss == se) { 
            st[si] = arr[ss]; 
            return arr[ss]; 
        } 
  
        // If there are more than one elements, then recur for left and 
        // right subtrees and store the minimum of two values in this node 
        int mid = getMid(ss, se); 
        st[si] = minVal(constructSTUtil(arr, ss, mid, si * 2 + 1), 
                constructSTUtil(arr, mid + 1, se, si * 2 + 2)); 
        return st[si]; 
    } 
  
    
    void con(int arr[]) 
    { 
        // Allocate memory for segment tree 
  
        //Height of segment tree 
        int n = (arr.length);
        int x = (int) (Math.ceil(Math.log(n) / Math.log(2))); 
  
        //Maximum size of segment tree 
        int max_size = 2 * (int) Math.pow(2, x) - 1; 
        st = new int[max_size]; // allocate memory 
  
        // Fill the allocated memory st 
        constructSTUtil(arr, 0, n - 1, 0); 
    }
    }
     static class DSU {
    
    int[] p;int[] sz;int op;int c;;
    int[] last;
    public void G(int n)
    {
        last=new int[n];
        p=new int[n];
        sz=new int[n];c=n;
        op=n;
        for(int h=0;h<n;h++)
        {
            sz[h]=1;p[h]=h;
            last[h]=h;
        }
    }
    public int find(int x)
    {
        int y=x;
        while(x!=p[x]) x=p[x];
        while(y!=p[y])
        {
            int tem=p[y];
            p[y]=x;y=tem;
        }
        return p[y];
    }
    public void union(int a,int b)
    {
        int x,y;
        x=find(a);y=find(b);
        if(x==y) return;
        if(sz[x]>sz[y])
        {
            p[y] = x;
            sz[x]+=sz[y];
            last[x]=Math.max(last[x],last[y]);
        }
        else
        {
            p[x]=y;sz[y]+=sz[x];
            last[y]=Math.max(last[y],last[x]);
        }
        c--;
        
    }}

    static long pow(long x, long y, long p)
      {
        long res = 1; // Initialize result
     
        x = x % p; // Update x if it is more than or
        // equal to p
     
        if (x == 0)
          return 0l; // In case x is divisible by p;
     
        while (y > 0)
        {
     
          // If y is odd, multiply x with result
          if ((y & 1) != 0)
            res = (res * x) % p;
     
          // y must be even now
          y = y >> 1; // y = y/2
          x = (x * x) % p;
        }
        return res;
      }
      static long gcd(long a, long b)
        {
          if (b == 0)
            return a;
          return gcd(b, a % b); 
        }
        static int gcd(int a, int b,int o)
        {
          if (b == 0)
            return a;
          return gcd(b, a % b,o); 
        }

Geometric median

public static double F(double[] x,double[] w)
    {
        double d1,d2;
        double S=0.00;
        for(double dp : w) S += dp;
        int k = 0;
        double sum = S - w[0]; // sum is the total weight of all `x[i] > x[k]`

        while(sum > S/2)
        {
            ++k;
            sum -= w[k];
        }
        d1=x[k];
        return d1;
        k = w.length-1;
       sum = S - w[k]; // sum is the total weight of all `x[i] > x[k]`

        while(sum > S/2)
        {
            --k;
            sum -= w[k];
        }
        d2=x[k];
        return new double[]{d1,d2};
    }
*/