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 os
import io
import sys
from collections import Counter, defaultdict
import math
import random
import heapq as hq
from functools import reduce, cmp_to_key
from collections import deque
import threading
import bisect

# sys.setrecursionlimit(2000000)
# input = io.BytesIO(os.read(0, os.fstat(0).st_size)).readline


def input():
    return sys.stdin.readline().strip()


def iinput():
    return int(input())


def tinput():
    return input().split()


def rinput():
    return map(int, tinput())


def rlinput():
    return list(rinput())


mod = int(1e9)+7


def factors(n):
    return set(reduce(list.__add__,
                      ([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0)))

# ----------------------------------------------------
# sys.stdin = open('input.txt', 'r')
# sys.stdout = open('output.txt', 'w')

def compare(a,b):
    la=len(a)
    lb=len(b)
    if la>lb:
        return 1
    elif lb>la:
        return -1
    return a==b
def check(a, b):
    l = len(b)
    for i in range(l):
        for j in range(i+1, l+1):
            if b[i:j] == a:
                return True
    return False


if __name__ == "__main__":
    n = iinput()
    strings = []
    for i in range(n):
        strings.append(input())
    strings.sort(key=cmp_to_key(compare))
    # print(strings)
    flag = True
    for i in range(n-1):
        if not check(strings[i],strings[i+1]):
            # print(strings[i],strings[i+1])
            flag = False
            break
    if flag:
        print("YES")
        for i in strings:
            print(i)
    else:
        print("NO")



