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".
n = int(input().strip())
strings = []

for i in range(n):
    strings.append(input().strip())

uniq_len = set()
for s in strings:
    uniq_len.add(len(s))

uniq_len = list(uniq_len)
uniq_len.sort()

sorted_strings = []
for ul in uniq_len:
    for s in strings:
        if len(s) == ul:
            sorted_strings.append(s)

#print(sorted_strings)

def check():
    global sorted_strings
    for i in range(len(sorted_strings)):
        main = sorted_strings[i]
        for j in range(i):
            sub = sorted_strings[j]
            if main.find(sub) == -1:
                # print("Main : ",main)
                # print("Sub : ",sub)
                print("NO")
                
                return
    print("YES")
    for s in sorted_strings:
        print(s)
    return

check()
