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)

s = gets.chomp.split('')
t = gets.chomp.split('')

if s.size < t.size
  flg = true
  _s = s.sort; _t = t.sort
  for i in 0..s.size-1 do
    flg = false unless _s[i] == _t[i]
  end
  if flg
    puts 'Yes'
    exit
  end
end

s.sort!; t.sort!; t.reverse!
flg2 = true
min = [s.size, t.size].min
for j in 0..min-1 do
  if s[j] == t[j]
    if j == min-1
      flg2 = false
    else
      next
    end
  elsif s[j] < t[j]
    break
  else
    flg2 = false
    break
  end
end

if flg2
  puts 'Yes'
else
  puts 'No'
end