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: Accepted)

import collections
S = (input())
T = (input())

count1 = collections.Counter(S)
count2 = collections.Counter(T)

count1=sorted(count1.items(), key=lambda x: x[1])
count2=sorted(count2.items(), key=lambda x: x[1])


indexes = []
indexes2 = []

if len(S) == len(T):
    if len(count1) != len(count2):
        print('No')
    else:
        for k1, k2 in zip(count1, count2):
            if k1[1] > 1:
                indexes.append(tuple([i for i, x in enumerate(S) if x == k1[0]]))
                indexes2.append(tuple([i for i, x in enumerate(T) if x == k2[0]]))
        if set(indexes) == set(indexes2):
            print('Yes')
        else:
            print('No')
else:
    print('No')

# for k1,k2 in zip(count1, count2, ):
#     if count1[k1] > 1:
#         [100 if i > 0 else i for i in l]