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 (3.4.3) (judge verdict: Runtime Error)

s = input()
t = input()

sset = set(s)
tset = set(t)
slist = list()
tlist = list()

if len(sset) != len(tset):
   print("No")
else:
   for i in range(len(s)):
      smoji = s[i]
      if s[i] in slist:
         continue
      else:
         si = string(i)
         ss = s.replace(s[i], si)
   for i in range(len(t)):
      tmoji = t[i]
      if t[i] in tlist:
         continue
      else:
         ti = string(i)
         ts = t.replace(t[i], ti)
   if ss != ts:
      print("No")
   else:
      print("Yes")