Please subscribe to the official Codeforces channel in Telegram via the link: https://t.me/codeforces_official. ×

B. Substrings Sort
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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 $$$n$$$ ($$$1 \le n \le 100$$$) — 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

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".