Problem:
Score : 200 points

Problem Statement

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.

Notes

For a string a = a_1 a_2 ... a_N of length N and a string b = b_1 b_2 ... b_M of length M, we say a < b for the lexicographic order if either one of the following two conditions holds true:

N < M and a_1 = b_1, a_2 = b_2, ..., a_N = b_N.

There exists i (1 \leq i \leq N, M) such that a_1 = b_1, a_2 = b_2, ..., a_{i - 1} = b_{i - 1} and a_i < b_i. Here, letters are compared using alphabetical order.

For example, xy < xya and atcoder < atlas.

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.

Sample Input 1

yx
axy

Sample Output 1

Yes

We can, for example, rearrange yx into xy and axy into yxa. Then, xy < yxa.

Sample Input 2

ratcode
atlas

Sample Output 2

Yes

We can, for example, rearrange ratcode into acdeort and atlas into tslaa. Then, acdeort < tslaa.

Sample Input 3

cd
abc

Sample Output 3

No

No matter how we rearrange cd and abc, we cannot achieve our objective.

Sample Input 4

w
ww

Sample Output 4

Yes

Sample Input 5

zzz
zzz

Sample Output 5

No

Solution in Python (2.7.6) (judge verdict: Wrong Answer)

a = raw_input()
b = raw_input()

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

printed = False

if len(a) < len(b):
    i = 0
    while i < len(a):
        if a[i] != b[i]:
            print "No"
            printed = True
            break
        i += 1
    if not printed:
        print "Yes"
        printed = True
else:
    i = 0
    b = "".join( sorted( list(a), 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"