CF988B Substrings Sort

Description

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 Format

The first line contains an integer $ n $ ( $ 1 \le n \le 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 Format

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.

Explanation/Hint

In the second example you cannot reorder the strings because the string "abab" is not a substring of the string "abacaba".