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.Scanner;

public class main{
    public static void main(String []args){
        Scanner s = new Scanner(System.in);
        int n = s.nextInt();
        s.nextLine();
        String []strs = new String[n];
        for(int i = 0;i<n;i++){
            strs[i] = s.nextLine();
        }
        for(int i = 0;i<n;i++){
            for(int j = i+1;j<n;j++){
                if(strs[i].indexOf(strs[j])!=-1){
                    String temp = strs[i];
                    strs[i] = strs[j];
                    strs[j] = temp;
                }
            }
        }
        boolean flag = true;
        for(int i =1;i<n;i++){
            if(strs[i].indexOf(strs[i-1])==-1){
                flag = false;
                break;
            }
        }
        if(flag){
            System.out.println("YES");
            for(int i = 0;i<n;i++) System.out.println(strs[i]);
        }else System.out.println("NO");
    }
}
   