Problem:
Score : 300 points

Problem Statement

You are given strings S and T consisting of lowercase English letters.

You can perform the following operation on S any number of times:

Operation: Choose two distinct lowercase English letters c_1 and c_2, then replace every occurrence of c_1 with c_2, and every occurrence of c_2 with c_1.

Determine if S and T can be made equal by performing the operation zero or more times.

Constraints

1 \leq |S| \leq 2 \times 10^5

|S| = |T|

S and T consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

S
T

Output

If S and T can be made equal, print Yes; otherwise, print No.

Sample Input 1

azzel
apple

Sample Output 1

Yes

azzel can be changed to apple, as follows:

Choose e as c_1 and l as c_2. azzel becomes azzle.

Choose z as c_1 and p as c_2. azzle becomes apple.

Sample Input 2

chokudai
redcoder

Sample Output 2

No

No sequences of operation can change chokudai to redcoder.

Sample Input 3

abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu

Sample Output 3

Yes

Solution in Ruby (2.3.3) (judge verdict: Wrong Answer)

s = gets.chomp
t = gets.chomp

s_hash = {}
t_hash = {}
('a'..'z').each do |c|
  s_hash[c] = nil
  t_hash[c] = nil
end

result = true
0.upto(s.length).each do |i|
  cs = s[i]
  ct = t[i]

  if cs != ct
    if s_hash[cs].nil?
      s_hash[cs] = ct
    else
      if s_hash[cs] != ct
        result = false
        break
      end
    end
    if t_hash[ct].nil?
      t_hash[ct] = cs
    else
      if t_hash[ct] != cs
        result = false
        break
      end
    end
  end
end
puts result ? 'Yes' : 'No'