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 PHP7 (7.0.15) (judge verdict: Accepted)

<?php
// C
fscanf(STDIN, '%s', $s);
fscanf(STDIN, '%s', $t);
$n = strlen($s);
$ans = 'Yes';
for ($i = 0; $i < $n; $i++) {
    if (isset($g[$t[$i]])) {
        if ($g[$t[$i]] !== $s[$i]) {
            $ans = 'No';
            break;
        }
    } else {
        $g[$t[$i]] = $s[$i];
    }
    if (isset($g2[$s[$i]])) {
        if ($g2[$s[$i]] !== $t[$i]) {
            $ans = 'No';
            break;
        }
    } else {
        $g2[$s[$i]] = $t[$i];
    }
}
echo $ans;