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
t = gets.chomp
sa = s.split(//)
ta = t.split(//)
s1 = [sa.length]
t1 = [ta.length]
len = sa.length-1
b1 = true
len.times do |i|
    if sa[i].eql?(sa[i+1])
        s1[i] = 1
        s1[i+1] = 1
    end
    if ta[i].eql?(ta[i+1])
        t1[i] = 1
        t1[i+1] = 1
    end
end

len.times do |i|
    if s1[i] != t1[i]
        b1 = false
    end
end

if b1
    puts "Yes"
else
    puts "No"
end