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.

Examples

Input

azzel
apple

Output

Yes

Input

chokudai
redcoder

Output

No

Input

abcdefghijklmnopqrstuvwxyz
ibyhqfrekavclxjstdwgpzmonu

Output

Yes

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