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)

s = input()
t = input()
mapping_s = {}
mapping_t = {}
count_s = 0
count_t = 0
code_s = []
code_t = []
for cs, ct in zip(s, t):
    if cs not in mapping_s:
        mapping_s[cs] = count_s
        count_s += 1
    if ct not in mapping_t:
        mapping_t[ct] = count_t
        count_t += 1
    code_s.append(mapping_s[cs])
    code_t.append(mapping_t[ct])
if code_s == code_t:
    print("Yes")
else:
    print("No")