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.*;
import java.lang.*;

public class sixth{
    public static void main(String args[]){
        int n;
        boolean subs = true;
        Scanner scan = new Scanner(System.in);
        n = scan.nextInt();
        String[] strs = new String[n];
        for (int i=0; i<n; i++) {
            strs[i] = scan.next();
        }
        Arrays.sort(strs, (s1, s2) -> s1.length() - s2.length());
        for (int i=0; i<n-1; i++){
            if (!strs[i+1].contains(strs[i])){
                subs = false;
                break;
            }
        }
        if (subs){
            System.out.println("YES");
            for (String s : strs) System.out.println(s);
        }
        else{
            System.out.println("NO");
        }
    }
}