You are given n strings. Each string consists of lowercase English letters. Rearrange (reorder) the given strings in such a way that for every string, all strings that are placed before it are its substrings.

String a is a substring of string b if it is possible to choose several consecutive letters in b in such a way that they form a. For example, string "for" is contained as a substring in strings "codeforces", "for" and "therefore", but is not contained as a substring in strings "four", "fofo" and "rof".

Input

The first line contains an integer n (1 ≤ n ≤ 100) — the number of strings.

The next n lines contain the given strings. The number of letters in each string is from 1 to 100, inclusive. Each string consists of lowercase English letters.

Some strings might be equal.

Output

If it is impossible to reorder n given strings in required order, print "NO" (without quotes).

Otherwise print "YES" (without quotes) and n given strings in required order.

Examples

Input

5
a
aba
abacaba
ba
aba


Output

YES
a
ba
aba
aba
abacaba


Input

5
a
abacaba
ba
aba
abab


Output

NO


Input

3
qwerty
qwerty
qwerty


Output

YES
qwerty
qwerty
qwerty

Note

In the second example you cannot reorder the strings because the string "abab" is not a substring of the string "abacaba".
import java.util.*;
public class HelloWorld{

     public static void main(String []args){
        Scanner s=new Scanner(System.in);
        int n=s.nextInt();
        String[] arr=new String[n];
        for(int i=0;i<n;i++)
        {
           arr[i]=s.next();
        }
        Arrays.sort(arr, new java.util.Comparator<String>() {
   
    public int compare(String s1, String s2) {
        
        return s1.length() - s2.length();
    }
    });
    
    
        
        for(int i=0;i<n-1;i++)
        {
            if(!arr[i+1].contains(arr[i]))
            {
               System.out.print("NO");
                return;
            }
        }
        System.out.println("YES");
        for(String x: arr)
          System.out.println(x+" ");
          //System.out.print(arr[2]);
     }
}