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 Common Lisp (SBCL 1.1.14) (judge verdict: Wrong Answer)

(defun collector (function lst)
  (if lst
      (let* ((ans '())
             (mem (cons (car lst) 1)))
        (mapcar (lambda (k)
                  (if (funcall function k (car mem))
                      (incf (cdr mem))
                      (progn (push mem ans)
                             (setf mem (cons k 1))))) (cdr lst))
        (push mem ans)
        ans)
      '()))
(if (equal (mapcar #'cdr (collector #'char= (sort (concatenate 'list (read-line)) #'char<)))
           (mapcar #'cdr (collector #'char= (sort (concatenate 'list (read-line)) #'char<))))
    (princ "Yes")
    (princ "No"))