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: Accepted)

# 解説AC(のつもり)
# 自力AC時、嘘解法だったのでやり直し
s = gets.chomp
t = gets.chomp
s_replace = {}
t_replace = {}
n = s.length
ok = true
for i in 0...n do
  if s_replace.include?(s[i])
    if s_replace[s[i]] != t[i]
      ok = false
      break
    end
  else
    s_replace[s[i]] = t[i]
  end
  if t_replace.include?(t[i])
    if t_replace[t[i]] != s[i]
      ok = false
      break
    end
  else
    t_replace[t[i]] = s[i]
  end
end
puts ok ? "Yes" : "No"