12504번 - FreeCell Statistics (Large) 다국어

문제

I played D (D > 0) games of FreeCell today. Each game of FreeCell ends in one of two ways -- I either win, or I lose. I've been playing for many years, and have so far played Ggames in total (obviously, G ≥ D).

At the end of the day, I look at the game statistics to see how well I have played. It turns out that I have won exactly P_D percent of the D games today, and exactly P_G percent of Gtotal games I had ever played. Miraculously, there is no rounding necessary -- both percentages are exact! Unfortunately, I don't remember the exact number of games that I have played today (D), or the exact number of games that I have played in total (G). I do know that I could not have played more than N games today (D ≤ N).

Are the percentages displayed possible, or is the game statistics calculator broken?

입력

The first line of the input gives the number of test cases, T. T lines follow. Each line contains 3 integers -- N, P_D and P_G.

Limits

• 0 ≤ P_D ≤ 100;
• 0 ≤ P_G ≤ 100.
• 1 ≤ T ≤ 2000;
• 1 ≤ N ≤ 10¹⁵.

출력

For each test case, output one line containing "Case #x: y", where x is the case number (starting from 1) and y is either "Possible" or "Broken".

제한

힌트

In Case #3, I could have played 5 games today (D = 5) and 25 games in total (G = 25), and won 4 games today (80% of 5) and 14 games in total (56% of 25).