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 Lua (5.3.2) (judge verdict: Accepted)

local S, T = io.read("l","l")
S={string.byte(S,1,#S)}
T={string.byte(T,1,#T)}
local origin = {}
local result = {}
for i=1,#S do
    if origin[T[i]] == nil then
        origin[T[i]] = S[i];
    end
    if result[S[i]] == nil then
        result[S[i]] = T[i];
    end
    if origin[T[i]] ~= S[i] or result[S[i]] ~= T[i] then
        print("No")
        return
    end
end
print("Yes")