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: Accepted)

def main():
    S = input()
    T = input()
    from collections import defaultdict
    tran = defaultdict(set)
    rtran = defaultdict(set)
    for s, t in zip(S, T):
        tran[s].add(t)
        rtran[t].add(s)
    if all(len(v) <= 1 for v in tran.values()) and \
            all(len(v) <= 1 for v in rtran.values()):
        print("Yes")
    else:
        print("No")


if __name__ == '__main__':
    main()