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: Time Limit Exceeded)

S = gets.sub("\n", "").chars
T = gets.sub("\n", "").chars

# チェック用
chk = S.uniq

# 数が同じ文字
tmp = Hash.new
S.each do |c|
    break if tmp.keys.length == chk.length
    next if tmp.keys.include?(c)
    
    T.each do |d|
        next if tmp.values.include?(d)
        
        if S.count(c) == T.count(d)
            tmp[c] = d
        end
    end
end

S.delete_if do |c|
  tmp.keys.include?(c)
end
T.delete_if do |c|
  tmp.values.include?(c)
end

# 各文字の数が同じ？(入れ替えで一致できる？)
S.sort!
T.sort!

eq = S == T

puts eq ? 'Yes' : 'No'