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.