You are given strings s and t, consisting of lowercase English letters. You will create a string s' by freely rearranging the characters in s. You will also create a string t' by freely rearranging the characters in t. Determine whether it is possible to satisfy s' < t' for the lexicographic order.

Constraints

* The lengths of s and t are between 1 and 100 (inclusive).
* s and t consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:


s
t


Output

If it is possible to satisfy s' < t', print `Yes`; if it is not, print `No`.

Examples

Input

yx
axy


Output

Yes


Input

ratcode
atlas


Output

Yes


Input

cd
abc


Output

No


Input

w
ww


Output

Yes


Input

zzz
zzz


Output

No
a = raw_input()
b = raw_input()

a = "".join( sorted( list(a) ) )
b = "".join( sorted( list(b) ) )

yes = True
printed = False

if len(a) < len(b):
    i = 0
    while i < len(a):
        if a[i] != b[i]:
            yes = False
            break
        i += 1
    if yes:
        print "Yes"
        printed = True

if not printed and len(b) > 0:
    i = 0
    b = "".join( sorted( list(b), reverse = True ) )

    while i < len(a) and i < len(b):
        if a[i] < b[i]:
            print "Yes"
            printed = True
            break
        elif a[i] > b[i]:
            print "No"
            printed = True
            break
        i += 1
if not printed:
    print "No"
