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)

#!/usr/bin/env ruby

s = gets.chomp.split(//)
t = gets.chomp.split(//)

h = Hash.new
result = 'Yes'
s.size.times do |i|
  puts "#{s[i]}:#{t[i]}"
  if h.has_key?(s[i])
    if (h[s[i]] != t[i])
      result = 'No'
    end
  else
    h[s[i]] = t[i]
  end
end

if (h.values.size != h.values.uniq.size)
  result = 'No'
end

h.keys.each do |k|
  v = h[k]
  if (h[v] != k && !h[v])
    result = 'No'
  end
end

puts result