#D5139. Substrings Sort
Substrings Sort
Substrings Sort
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".
inputFormat
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.
outputFormat
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".
样例
3
qwerty
qwerty
qwerty
YES
qwerty
qwerty
qwerty