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: Runtime Error)

S = gets.chomp
T = gets.chomp

start = Array.new(26) { -1 }
goal = Array.new(26) { -1 }

impossibble = false
0.upto(S.size - 1) do |i|
  s = S[i].ord - 'a'.ord
  t = T[i].ord - 'a'.ord

  if start[s] != -1 || goal[t] != -1
    if start[s] != b || goal[t] != s
      impossibble = true
      break
    end
  end

  start[s] = t
  goal[t] = s
end

if impossibble
  puts 'No'
else
  puts 'Yes'
end