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
from collections import deque

sys.setrecursionlimit(4100000)


def inputs(num_of_input):
    ins = [input() for i in range(num_of_input)]
    return ins


def solve(inputs):
    S = inputs[0]
    T = inputs[1]

    appeared_s = {}
    appeared_t = {}
    for i, _ in enumerate(S):
        if T[i] in appeared_t:
            if not appeared_t[T[i]] == S[i]:
                return "No"
            if not appeared_s[S[i]] == T[i]:
                return "No"

        else:
            appeared_t[T[i]] = S[i]
            appeared_s[S[i]] = T[i]
    return "Yes"


def string_to_int(string):
    return list(map(int, string.split()))


if __name__ == "__main__":
    ret = solve(inputs(2))
    print(ret)