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 PyPy3 (2.4.0) (judge verdict: Time Limit Exceeded)

s = input()
t = input()

def swap(s,c1,c2):
    if c2 in s:
        slist = list(s)
        def rep(chr):
            if chr == c1:
                return c2
            elif chr == c2:
                return c1
            return chr
        s = "".join(list(map(rep,slist)))
    else:
       s = s.replace(c1,c2)
    return s

for i in range(len(s)):
    if s[i] == t[i]:
        continue
    else:
        s = swap(s,s[i],t[i])
if s == t:
    print("Yes")
else:
    print("No")