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.*;
    import java.math.*;
    import java.lang.*;

    import static java.lang.Math.*;

    public class dt implements Runnable
    {
    	static class InputReader
    	{
    		private InputStream stream;
    		private byte[] buf = new byte[1024];
    		private int curChar;
    		private int numChars;
    		private SpaceCharFilter filter;
    		private BufferedReader br=new BufferedReader(new InputStreamReader(System.in));

    		public InputReader(InputStream stream)
    		{
    			this.stream = stream;
    		}

    		public int read()
    		{
    			if (numChars==-1)
    				throw new InputMismatchException();

    			if (curChar >= numChars)
    			{
    				curChar = 0;
    				try
    				{
    					numChars = stream.read(buf);
    				}
    				catch (IOException e)
    				{
    					throw new InputMismatchException();
    				}

    				if(numChars <= 0)
    					return -1;
    			}
    			return buf[curChar++];
    		}

    		public String nextLine()
    		{
    			String str = "";
                try
                {
                    str = br.readLine();
                }
                catch (IOException e)
                {
                    e.printStackTrace();
                }
                return str;
    		}
    		public int nextInt()
    		{
    			int c = read();

    			while(isSpaceChar(c))
    				c = read();

    			int sgn = 1;

    			if (c == '-')
    			{
    				sgn = -1;
    				c = read();
    			}

    			int res = 0;
    			do
    			{
    				if(c<'0'||c>'9')
    					throw new InputMismatchException();
    				res *= 10;
    				res += c - '0';
    				c = read();
    			}
    			while (!isSpaceChar(c));

    			return res * sgn;
    		}

    		public long nextLong()
    		{
    			int c = read();
    			while (isSpaceChar(c))
    				c = read();
    			int sgn = 1;
    			if (c == '-')
    			{
    				sgn = -1;
    				c = read();
    			}
    			long res = 0;

    			do
    			{
    				if (c < '0' || c > '9')
    					throw new InputMismatchException();
    				res *= 10;
    				res += c - '0';
    				c = read();
    			}
    			while (!isSpaceChar(c));
    				return res * sgn;
    		}

    		public double nextDouble()
    		{
    			int c = read();
    			while (isSpaceChar(c))
    				c = read();
    			int sgn = 1;
    			if (c == '-')
    			{
    				sgn = -1;
    				c = read();
    			}
    			double res = 0;
    			while (!isSpaceChar(c) && c != '.')
    			{
    				if (c == 'e' || c == 'E')
    					return res * Math.pow(10, nextInt());
    				if (c < '0' || c > '9')
    					throw new InputMismatchException();
    				res *= 10;
    				res += c - '0';
    				c = read();
    			}
    			if (c == '.')
    			{
    				c = read();
    				double m = 1;
    				while (!isSpaceChar(c))
    				{
    					if (c == 'e' || c == 'E')
    						return res * Math.pow(10, nextInt());
    					if (c < '0' || c > '9')
    						throw new InputMismatchException();
    					m /= 10;
    					res += (c - '0') * m;
    					c = read();
    				}
    			}
    			return res * sgn;
    		}

    		public String readString()
    		{
    			int c = read();
    			while (isSpaceChar(c))
    				c = read();
    			StringBuilder res = new StringBuilder();
    			do
    			{
    				res.appendCodePoint(c);
    				c = read();
    			}
    			while (!isSpaceChar(c));

    			return res.toString();
    		}

    		public boolean isSpaceChar(int c)
    		{
    			if (filter != null)
    				return filter.isSpaceChar(c);
    			return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    		}

    		public String next()
    		{
    			return readString();
    		}

    		public interface SpaceCharFilter
    		{
    			public boolean isSpaceChar(int ch);
    		}
    	}

    	public static void main(String args[]) throws Exception
    	{
    		new Thread(null, new dt(),"dt",1<<26).start();
    	}
        //User-defined functions goes here...
    	public void run()
    	{
    		InputReader sc= new InputReader(System.in);
    		PrintWriter w= new PrintWriter(System.out);

       		//Your code goes here...
            int n=sc.nextInt();
            String s[]=new String[n];

            int np=0;
            for(int i=0; i<n; i++)
                s[i]=sc.next();

            for(int i=0; i<n; i++){
                for (int j=1; j<n; j++) {
                    if(s[j-1].contains(s[j])==true){
                        String temp=s[j-1];
                        s[j-1]=s[j];
                        s[j]=temp;
                    }
                    else{
                        if(s[j].contains(s[j-1])==false)
                            np=1;
                    }
                }
            }

            if(np==1){
                w.println("NO");
            }
            else{
                w.println("YES");
                for(int i=0; i<n; i++)
                    w.println(s[i]);
            }
    		w.close();
    	}
    }