ENG  RUSTimus Online Judge
Online Judge
Problems
Authors
Online contests
About Online Judge
Frequently asked questions
Site news
Webboard
Links
Problem set
Submit solution
Judge status
Guide
Register
Update your info
Authors ranklist
Current contest
Scheduled contests
Past contests
Rules

1484. Film Rating

Time limit: 1.0 second
Memory limit: 64 MB
Denis is an expert film fan. He goes to a cinema to watch all films which get high rating at his favorite film-fan Web site. Usually he is satisfied with films, but today, after yet another contest at the Petrozavodsk Training Camp, he has watched a film narrating the hard lot of narfs, scrunts, and tartutics. Denis didn't like the film at all. Now he wants to lower the rating of this film at the Web site, so that other film fans won't go to a cinema to watch such a dreadful film.
The rating of a film is determined as follows: each site visitor may estimate a film and give it a mark, which is an integer from 1 to 10. A film's rating is the arithmetic average of the marks given by visitors rounded to one fractional digit (for example, 7.54 is rounded to 7.5, and 7.55 and 7.58 are rounded to 7.6). Denis can see that now the film has been estimated by N visitors and its rating is X. He wants the rating to become not greater than Y. It remains to determine how many times Denis must estimate the film in order to achieve this goal.

Input

The only line contains the numbers X, Y, and N. The numbers X and Y are given with one fractional digit. 1 ≤ XY ≤ 10. 1 ≤ N ≤ 106.

Output

Output the minimal number of votes that is needed to guarantee that the rating becomes not greater than Y. If it is impossible to do this, then output “Impossible”.

Sample

inputoutput
9.5 2.0 12
86
Problem Author: Vladimir Yakovlev
Problem Source: The XIth USU Programing Championship, October 7, 2006