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.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Collections;
import java.util.Comparator;
import java.util.List;
import java.util.StringTokenizer;

public class _988B {

  public static void main(String[] args) {
    InputStream inputStream = System.in;
    OutputStream outputStream = System.out;
    InputReader in = new InputReader(inputStream);
    PrintWriter out = new PrintWriter(outputStream);
    Solver solver = new Solver();
    solver.solve(in, out);
    out.close();
  }

  private static class Solver {
    private void solve(InputReader in, PrintWriter out) {
      List<String> strings = new ArrayList<>();
      int n = in.nextInt();

      for (int i = 0; i < n; i++) {
        strings.add(in.next());
      }
      strings.sort((s, t) -> {
        if (s.length() != t.length()) {
          return Integer.compare(s.length(), t.length());
        } else {
          return s.compareTo(t);
        }
      });

      boolean valid = true;
      for (int i = 1; i < n; i++) {
        if (!strings.get(i).contains(strings.get(i - 1))) {
          valid = false;
          break;
        }
      }

      if (valid) {
        out.println("YES");
        for (int i = 0; i < n; i++) {
          out.println(strings.get(i));
        }
      } else {
        out.println("NO");
      }
    }
  }

  private static class InputReader {
    private BufferedReader reader;
    private StringTokenizer tokenizer;

    private InputReader(InputStream stream) {
      reader = new BufferedReader(new InputStreamReader(stream), 32768);
      tokenizer = null;
    }

    private String next() {
      while (tokenizer == null || !tokenizer.hasMoreTokens()) {
        try {
          tokenizer = new StringTokenizer(reader.readLine());
        } catch (IOException e) {
          throw new RuntimeException(e);
        }
      }
      return tokenizer.nextToken();
    }

    private int nextInt() {
      return Integer.parseInt(next());
    }
  }
}