C - String Transformation

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.

azzel
apple

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.

chokudai
redcoder

No

No sequences of operation can change chokudai to redcoder.

abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu

Yes