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)

class Chokudai
    S = 0
    T = 1
    ALPHA = 26
    def initialize()
        @dic = []
        2.times do |n|
            @dic.push(Array.new(ALPHA, -1))
        end
        @a = 'a'.ord
    end

    def solve(s, t)
        s.size.times do |i|
            si = s[i].ord - @a
            ti = t[i].ord - @a
            if @dic[S][ti] == -1  then
                @dic[S][ti] = si
            elsif @dic[S][ti] != si then
                return false
            end
            if @dic[T][si] == -1  then
                @dic[T][si] = ti
            elsif @dic[T][si] != ti then
                return false
            end
        end
        return true
    end

    def answer(s, t)
        if self.solve(s, t) then
            puts('Yes')
        else
            puts('No')
        end
    end
end

inputs = STDIN.readlines.map{|line|line.strip.split()}
s = inputs.shift[0]
t = inputs.shift[0]

chokudai = Chokudai.new
chokudai.answer(s, t)