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 test
{
	public static class pair
	{
		public int num;
		public int cnt;
		public pair(int num,int cnt)
		{
			this.num = num;
			this.cnt = cnt;
		}
	}
	
	
    private static Scanner sc = new Scanner(System.in);
    //sc.nextInt()   read int


	public static void main(String[] args)
    {
		int n = sc.nextInt();
		
		String data[] = new String[n];
		for(int i=0;i<n;i++)
		{
			data[i] = sc.next();
		}
		
		for(int j=0;j<n;j++)
		{
			for(int i =0; i<n-1;i++)
			{
				if( data[i].contains(data[i+1]) )
				{
					String temp = data[i];
					data[i] = data[i+1];
					data[i+1] = temp;
				}
				else if( !data[i+1].contains(data[i]) )
				{
					System.out.println("NO");
					return;
				}
			}
		}
		

		
		

		System.out.println("YES");
		for(int i=0;i<n;i++)
		{
			System.out.println( data[i] );
		}

	}
}


/*
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34

4  4
5  11
6  9
7  13 
8  12
9  21 
10 19
*/






