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 Python (3.8.2) (judge verdict: Wrong Answer)

S = input()
T = input()
trans_dict = {}
flag = 1
for i in range(len(S)):
    if S[i] != T[i]:
        if (S[i] not in trans_dict):
            trans_dict[S[i]] = T[i]
        elif S[i] in trans_dict:
            if trans_dict[S[i]] != T[i]:
                flag = 0
if len(set(trans_dict.keys())) != len(set(trans_dict.values())):
    flag = 0
    
if flag == 1:
    print('Yes')
else:
    print('No')