Sharing Cookies

Snuke is giving cookies to his three goats.

He has two cookie tins. One contains A cookies, and the other contains B cookies. He can thus give A cookies, B cookies or A+B cookies to his goats (he cannot open the tins).

Your task is to determine whether Snuke can give cookies to his three goats so that each of them can have the same number of cookies.

Constraints

• 1 \leq A,B \leq 100
• Both A and B are integers.

Input

Input is given from Standard Input in the following format:

A B

Output

If it is possible to give cookies so that each of the three goats can have the same number of cookies, print Possible; otherwise, print Impossible.

Examples

Input

4 5

Output

Possible

Input

1 1

Output

Impossible

inputFormat

Input

Input is given from Standard Input in the following format:

A B

outputFormat

Output

If it is possible to give cookies so that each of the three goats can have the same number of cookies, print Possible; otherwise, print Impossible.

Examples

Input

4 5

Output

Possible

Input

1 1

Output

Impossible

样例

4 5

Possible