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.io.*;



public class cp{

	public static void main(String[] args) {

		Scanner sc = new Scanner();

		int n = sc.nextInt();

		String ar[] = new String[n];

		for(int i=0;i<n;i++)
			ar[i]=sc.nextLine();

		for(int i=0;i<n;i++)
		{
			for(int j=i+1;j<n;j++)
			{
				if(ar[i].indexOf(ar[j])>=0)
				{
					String tmp = ar[i];
					ar[i]=ar[j];
					ar[j]=tmp;
				}
			}
		}

		boolean poss = true;

		for(int i=1;i<n;i++)
		{
			if(ar[i].indexOf(ar[i-1])<0)
			{
				poss = false;
				break;
			}
		}

		if(poss)
		{out.println("YES");
		for(int i=0;i<n;i++)
			out.println(ar[i]);
	}else out.println("NO");
		out.close();
		
	}	

	static	PrintWriter out=new PrintWriter(System.out);
	static class Scanner {
		BufferedReader br=new BufferedReader(new InputStreamReader(System.in));
		StringTokenizer st=new StringTokenizer("");
		String nextLine() {
			while (!st.hasMoreTokens())
				try { 
                                        st=new StringTokenizer(br.readLine());				               
                                } catch (IOException e) {}
			return st.nextToken();
		}
		char nextChar() {
			char c = '$';
				try { 
                                        c = (char)br.read();			               
                                } catch (IOException e) {}
			return c;
		}		
		int nextInt() {
			return Integer.parseInt(nextLine());
		}
		Double nextDouble() {
			return Double.parseDouble(nextLine());
		}
		long nextLong() {
			return Long.parseLong(nextLine());
		}
	}

}
