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 Ruby (2.3.3) (judge verdict: Accepted)

def geti; gets.to_i end
def getis; gets.split.map &:to_i end
def getin n;  n.times.map{geti}  end
def getisn n; n.times.map{getis} end
YES = "YES"; NO = "NO"; Yes = "Yes"; No = "No";

s = gets.chomp
t = gets.chomp

puts s.chars.sort.join < t.chars.sort.reverse.join ?  "Yes" : "No"

__END__
a,b=getis
p (a+b+1)/2

n,a,b=getis
puts (1..n).select{|s| c=s.to_s.chars.map(&:to_i).reduce(:+); a<=c&&c<=b }.reduce(:+)

a,b,c,d=getis
puts %w(Balanced Left Right)[a+b<=>c+d]

puts (gets.sub(?\s,'').to_i**0.5)%1==0? "Yes" : "No"

a,b=getis
puts a*b%2==0? "Even" : "Odd"