Problem Statement

Piano Tile Ohara-kun is hooked on a certain rhythm game.
In this rhythm game, score is added by touching objects called notes with good timing.
The judgments are, from best to worst, perfect, great, good, and miss.
A perfect adds 100 to the score.
A great adds 50 to the score.
A good adds 0 to the score.
A miss adds 0 to the score, and 100 is subtracted from the life.
Initially, the life is 1000.
When the life reaches 0, the player fails and the song is interrupted (this is called a clear failure; conversely, being able to play the song through to the end is called a clear).
The life never recovers along the way.
In this rhythm game, the score added is doubled each time the combo count (the number of consecutive great or perfect judgments) increases by 100 starting from 1 (the score added is doubled from combo count 101. The pattern is such that from combo count 201 through combo count 300, the score added is twice the score that was added from combo count 101 through 200).
Piano Tile Ohara-kun has now made A perfects, B greats, C goods, and D misses.
Write a program that outputs Possible and the maximum possible score if a clear is possible,
and Impossible if a clear is not possible.

Input

A B C D

Non-negative integers A B C D are given.
0<=A<=400
0<=B<=400
0<=C<=400
0<=D<=10

Output

Output Possible and the maximum score, each on its own line,
or
Impossible.
Print a newline at the end.

Sample

101 0 0 0

Possible
10200

349 222 3 4

Possible
517800

400 0 0 10

Impossible