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.io.*;
import java.util.*;
public class substring{

    public static String[] sortArrayByLength(String[] array){
        Arrays.sort(array, new Comparator<String>() {
        @Override
        public int compare(String a, String b) {
            return Integer.compare(a.length(),b.length());
        }
    });
     return array;
}
    public static void main(String[] args) throws IOException{
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        boolean canBe = true;
        int n = Integer.parseInt(br.readLine());
        String[] strings = new String[n];
        for(int i=0; i<n; i++){
            strings[i] = br.readLine();
        }
        sortArrayByLength(strings);
        //Find substrings
        for(int i=strings.length-1; i>0; i--){
            String current = strings[i];
            for(int j=i-1; j>=0; j--){
                String tested = strings[j];
                if(current.indexOf(tested) == -1){
                    canBe = false;
                    break;
                }
            }
        }

        if(canBe){
            System.out.println("YES");
            for(String s:strings){
                System.out.println(s);
            }
        }else{
            System.out.println("NO");
        }
    }
}
