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".
# inp.readline()
# int(inp.readline())
# out.write()
# raw_input()
# map(int,raw_input().split())
# map(int,inp.readline().split())
def main():
    an=""
    n=int(inp.readline())
    d={}
    l={}
    for i in xrange(n):
        s=inp.readline().strip()
        try:
            d[len(s)].add(s)
        except KeyError:
            d[len(s)]={s}
        try:
            l[s]+=1
        except KeyError:
            l[s]=1
    for i in d:
        if len(d[i])>1:
            print "NO"
            return
    t=d.keys()
    t.sort()
    z=[]
    for i in t:
        for j in d[i]:
            z.append(j)
    n=len(z)
    for i in xrange(n-1):
        if z[i] not in z[i+1]:
            print "NO"
            return
    print "YES"
    for i in t:
        for j in d[i]:
            for k in xrange(l[j]):
                print j
    out.write(an)
if __name__ == "__main__":
    from sys import stdin as inp, stdout as out
    main()