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.Arrays;
import java.util.Scanner;

/**
 *
 * @author mohammad
 */
public class NewClass1 {
    public static void main(String[] args){
        Scanner input =new Scanner(System.in);
        int n = input.nextInt();
        Pair ar[]= new Pair[n];
        for(int i=0;i<n;i++){
            String temp = input.next();
            ar[i]=new Pair(temp.length(), temp);
        }
        Arrays.sort(ar);
        boolean f = true;
        for(int i=0;i<n-1;i++){          
            if(!ar[i+1].v.contains(ar[i].v)){
                f=false;
                break;
            }
        }        
        if(f){
            System.out.println("YES");
            for(Pair v :ar){
                System.out.println(v.v);
            }
        }else{
            System.out.println("NO");
        }
    }
    static class Pair implements Comparable<Pair> {
        int size;
        String v;
        Pair(int size,String v){
            this.size=size;
            this.v=v;
        }
        @Override
        public int compareTo(Pair o1){
            if(this.size-o1.size==0){
                return this.v.compareTo(o1.v);
            }
            return this.size-o1.size;
        }
    }    
}
