|시간 제한||메모리 제한||제출||정답||맞은 사람||정답 비율|
|5 초||512 MB||47||24||22||53.659%|
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 PD percent of the D games today, and exactly PG 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?
The first line of the input gives the number of test cases, T. T lines follow. Each line contains 3 integers -- N, PD and PG.
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".
3 1 100 50 10 10 100 9 80 56
Case #1: Possible Case #2: Broken Case #3: Possible
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).