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.Scanner;
import java.util.Arrays;
import java.util.Comparator;

public class B {
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n = sc.nextInt();
		String[] strs = new String[n];
		for(int i = 0; i < n; i++) {
			strs[i] = sc.next();
		}

		boolean canSort = true;

		Arrays.sort(strs, new StringComparatorByAscendingLength());
		for(int i = 1; i < n; i++) {
			if(!strs[i].contains(strs[i - 1])) {
				canSort = false;
				break;
			}
		}

		if(!canSort) {
			System.out.println("NO");
		}
		else {
			System.out.println("YES");
			for(int i = 0; i < n; i++) {
				System.out.println(strs[i]);
			}
		}
	}
}

class StringComparatorByAscendingLength implements Comparator<String> {
	@Override
	public int compare(String a, String b) {
		return a.length() - b.length();
	}
}