Problem: You are storing an integer array of length m in a database. To maintain internal integrity and protect data, the database stores n copies of this array.

Unfortunately, the recent incident may have altered the stored information in every copy in the database.

It's believed, that the incident altered at most two elements in every copy. You need to recover the original array based on the current state of the database.

In case there are multiple ways to restore the array, report any. If there is no array that differs from every copy in no more than two positions, report that as well.

Input

The first line contains integers n and m (2 ≤ n; 1 ≤ m; n ⋅ m ≤ 250 000) — the number of copies and the size of the array.

Each of the following n lines describes one of the currently stored copies in the database, it consists of m integers s_{i, 1}, s_{i, 2}, ..., s_{i, m} (1 ≤ s_{i, j} ≤ 10^9).

Output

If there is an array consistent with all given copies, print "Yes" and then the array itself. The array must have length m and contain integers between 1 and 10^9 only.

Otherwise, print "No".

If there are multiple possible arrays, print any of them.

Examples

Input


3 4
1 10 10 100
1 1 1 100
10 100 1 100


Output


Yes
1 10 1 100


Input


10 7
1 1 1 1 1 1 1
1 1 1 1 1 1 2
1 1 1 1 1 2 2
1 1 1 1 2 2 1
1 1 1 2 2 1 1
1 1 2 2 1 1 1
1 2 2 1 1 1 1
2 2 1 1 1 1 1
2 1 1 1 1 1 1
1 1 1 1 1 1 1


Output


Yes
1 1 1 1 1 1 1


Input


2 5
2 2 1 1 1
1 1 2 2 2


Output


No

Note

In the first example, the array [1, 10, 1, 100] differs from first and second copies in just one position, and from the third copy in two positions.

In the second example, array [1, 1, 1, 1, 1, 1, 1] is the same as the first copy and differs from all other copies in at most two positions.

In the third example, there is no array differing in at most two positions from every database's copy.

Solution (in JAVA):

Solution:
// Problem: E. Almost Fault-Tolerant Database
// Contest: Codeforces - Codeforces Round #704 (Div. 2)
// URL: http://codeforces.com/contest/1492/problem/E
// Memory Limit: 512 MB
// Time Limit: 2000 ms
// Powered by CP Editor (https://github.com/cpeditor/cpeditor)

import java.io.*;
import java.util.*;

public class CF {
    private static PrintWriter pw = new PrintWriter(System.out);
    private static InputReader sc = new InputReader();
    private static final int intmax = Integer.MAX_VALUE, intmin = Integer.MIN_VALUE;

    static class InputReader{
        private static BufferedReader r = new BufferedReader(new InputStreamReader(System.in));
        private static StringTokenizer tk;

        private void next()throws IOException{
            while(tk == null || !tk.hasMoreTokens())   
                tk = new StringTokenizer(r.readLine());
        }

        private int nextInt()throws IOException{
            next();
            return Integer.parseInt(tk.nextToken());
        }
    }

    public static void main(String args[])throws IOException{
        // int t = sc.nextInt();
        int t = 1;
        while(t-->0)    solve();
        pw.flush();
        pw.close();
    }
    
    private static void printyes(int res[]){
        pw.println("Yes");
        for(int j = 0; j < res.length; j++)
            pw.print(+res[j]+" ");
    }
    
    private static boolean step4(int res[], int arr[][]){
        int n = arr.length, m = arr[0].length;
        
        for(int i = 0; i < n; i++){
            int count = 0;
            for(int j = 0; j < m; j++){
                
                if(arr[i][j] != res[j])
                    count++;
            }
            
            if(count > 2)
                return false;
        }
        
        printyes(res);
        
        return true;
    }
    
    private static boolean step3(int res[], int arr[][], int pos){
        int n = arr.length, m = arr[0].length;
        
        for(int i = 0; i < n; i++){
            int count = 0;
            
            for(int j = 0; j < m; j++){
                if(arr[i][j] != res[j] && j != pos)
                    count++;
            }
            
            if(count > 2)
                return false;
            else if(count == 2){
                int tmp = res[pos];
                
                res[pos] = arr[i][pos];
                
                // if(!step4(res, arr))
                    // return false;
                boolean r = step4(res, arr);
                    
                res[pos] = tmp;

                return r;
            }
        }
        
        printyes(res);
        
        return true;
    }
    
    private static boolean step2(int res[], int arr[][], int pos1, int pos2){
        int n = arr.length, m = arr[0].length;
        
        for(int i = 0; i < n; i++){
            int count = 0;
            
            for(int j = 0; j < m; j++){
                
                if(j != pos1 && j != pos2 && res[j] != arr[i][j])
                    count++;
            }
            
            if(count > 2)
                return false;
            else if(count == 2){
                int temp1 = res[pos1], temp2 = res[pos2];
                
                res[pos1] = arr[i][pos1];
                res[pos2] = arr[i][pos2];
                
                // if(!step4(res, arr))
                    // return false;
                    
                boolean r = step4(res, arr);
                // return step4(res, arr);
                
                res[pos1] = temp1;
                res[pos2] = temp2;

                return r;
            }
            else if(count == 1){
                int temp = res[pos1];
                
                res[pos1] = arr[i][pos1];

                boolean r = step3(res, arr, pos2);

                res[pos1] = temp;
                
                if(r)
                    return true;
                
                temp = res[pos2];
                
                res[pos2] = arr[i][pos2];
                
                // if(!step3(res, arr, pos1))
                    // return false;

                r = step3(res, arr, pos1);

                res[pos2] = temp;

                return r;
            }
        }
        
        printyes(res);
        
        return true;
    }
    
    private static boolean step1(int res[], int arr[][]){
        int n = arr.length, m = arr[0].length;
        
        for(int i = 0; i < n; i++){
            ArrayList<Integer> list = new ArrayList<>();
            
            for(int j = 0; j < m; j++){
                if(res[j] != arr[i][j])
                    list.add(j);
            }
            
            if(list.size() > 4)
                return false;
            else if(list.size() >= 3){
                for(int p = 0; p + 1 < list.size(); p++){
                    for(int q = p + 1; q < list.size(); q++){
                        if(step2(res, arr, list.get(p), list.get(q)))
                            return true;
                    }
                }
                return false;
            }
        }
        
        printyes(res);
        
        return true;
    }

    private static void solve()throws IOException{
        int n = sc.nextInt(), m = sc.nextInt(), arr[][] = new int[n][m], res[] = new int[m];
        
        for(int i = 0; i < n; i++){
            for(int j = 0; j < m; j++){
                arr[i][j] = sc.nextInt();
                
                res[j] = arr[0][j];
            }
        }
        
        if(!step1(res, arr))
            pw.println("No");
    }
}