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: Wrong Answer)

import sys

def main():
  input = sys.stdin.readline
  S = str(input().strip())
  T = str(input().strip())
  
  C1, C2 = [], []
  ans = 'Yes'
  for c1, c2 in zip(S, T):
    if c1 == c2:
      continue
    else:
      if (c1 in C1) and (c2 in C2):
        continue
      elif (c1 not in C1) and (c2 not in C2):
        C1.append(c1)
        C2.append(c2)
        continue
      else:
        ans = 'No'
        break  
  print(ans)


if __name__ == '__main__':
  main()