BILLIARD - Billiard
In a billiard table with horizontal side a inches and vertical side b inches, a ball is launched from the middle of the table. After s > 0 seconds the ball returns to the point from which it was launched, after having made m bounces off the vertical sides and n bounces off the horizontal sides of the table. Find the launching angle A (measured from the horizontal), which will be between 0 and 90 degrees inclusive, and the initial velocity of the ball.
Assume that the collisions with a side are elastic (no energy loss), and thus the velocity component of the ball parallel to each side remains unchanged. Also, assume the ball has a radius of zero. Remember that, unlike pool tables, billiard tables have no pockets.
Input
Input consists of a sequence of lines, each containing five nonnegative integers separated by whitespace. The five numbers are: a, b, s, m, and n, respectively. All numbers are positive integers not greater than 10000.
Input is terminated by a line containing five zeroes.
Output
For each input line except the last, output a line containing two real numbers (accurate to two decimal places) separated by a single space. The first number is the measure of the angle A in degrees and the second is the velocity of the ball measured in inches per second, according to the description above.
Example
Input: 100 100 1 1 1 200 100 5 3 4 201 132 48 1900 156 0 0 0 0 0 Output: 45.00 141.42 33.69 144.22 3.09 7967.81
hide comments
shekhataul:
2019-10-23 18:35:41
Nice hints. |
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Fish3R:
2012-07-28 07:19:12
@Sandeep Singh Jakhar
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ɥsǝןǝǝu:
2012-07-27 18:49:36
i got wrong answer with float but accepted by changing it to double.... |
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Adrian Kuegel:
2012-06-11 10:33:51
@sanctity: sorry, but the problem tells you exactly what you should print. If you don't do it, its your fault. |
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NOODLES:
2012-05-21 16:44:07
WTF.......a new line feed costed me 5 wrong answers.....idiotic....
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NOODLES:
2012-05-21 15:18:31
are there any tricky cases.......i have checked my o/p is correctfor all possible cases but still getting a WA :( somebody help plzzzzzzzzzzzzzzzz |
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Sandeep Singh Jakhar:
2012-05-15 14:58:13
i'm getting incorrect o/p for 3rd testcase..help..:P |
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Parth Tripathi:
2012-01-06 08:23:22
more test cases please
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Aquid Shahwar:
2011-12-17 18:39:47
my all the ans are comng correct,then also it is giving wa,,can anyone help me. |
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Alejandro Hitti:
2011-03-23 14:00:33
Took me a while to get this one... It was easy after I realized the ball doesn't stop when it gets to the middle again, it just goes by :p Last edit: 2011-03-23 17:10:15 |
Added by: | Adrian Kuegel |
Date: | 2005-07-04 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All |
Resource: | University of Waterloo Local Contest (Spring 1999) |