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

arr = t.group_by{ |e| e }.select { |k, v| v.size > 1 }.map(&:first)
arr2 = s.group_by{ |e| e }.select { |k, v| v.size > 1 }.map(&:first)

if arr.empty? && arr2.empty?
  puts 'Yes'
  exit
end

arr.each do |a|
  inds = t.each_with_index.select{|e, i| e == a}.map{|e| e[1]}
  tmp_arr = []
  inds.each do |i|
    tmp_arr.push(s[i])
  end
  if tmp_arr.uniq.size != 1
    puts 'No'
    exit
  end
end
puts 'Yes'