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.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.ArrayList;
import java.util.Collections;
import java.util.Comparator;
import java.util.List;
import java.util.stream.Stream;

/**
 * @see http://codeforces.com/contest/988/problem/B
 * @author swayamraina
 */
public class CF988B {

    private Response solve(int n, List<String> in) {
        Response response = new Response();
        Collections.sort(in, Comparator.comparing(String::length));
        boolean success = true;
        response.arr = in;
        for (int i=0; i<n-1; i++) {
            if (!in.get(i+1).contains(in.get(i))) {
                success = false;
                break;
            }
        }
        response.res = success;        
        return response;
    }

    public static void main(String[] args) throws IOException {
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        int n = Integer.parseInt(br.readLine());
        int k = n;
        List<String> in = new ArrayList<>();
        while (k-->0) in.add(br.readLine());
        CF988B cf988b = new CF988B();
        Response res = cf988b.solve(n, in);
        res.printSolution();
    }

    class Response {
        boolean res;
        List<String> arr;
        public void printSolution() {
            System.out.println(res ? "YES" : "NO");
            if (res) arr.stream().forEach(System.out::println);
        }
    }

}