Problem 1898 --Problem A - Billiard

1898: Problem A - Billiard

上一题 正确率: $75.00\%$ 下一题
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Time Limit $1$ 秒/Second(s) Memory Limit $512$ 兆字节/Megabyte(s)
提交总数 $4$ 正确数量 $3$
裁判形式 标准裁判/Standard Judge 我的状态 尚未尝试
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Description

Problem A - 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.

Sample Input复制

100 100 1 1 1
200 100 5 3 4
201 132 48 1900 156
0 0 0 0 0

Sample Output复制

45.00 141.42
33.69 144.22
3.09 7967.81

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本题记录 用 户（点击查看用户） 运行号（点击购买题解） 时 间
算法最快[$0 $ms] sqrjy 609822 2020-08-08 22:14:09
内存最少[$960 $KB] AOJ大管家 84413 2017-04-27 15:28:46
第一AC AOJ大管家 84413 2017-04-27 15:28:46
第一挑战 AOJ大管家 84413 2017-04-27 15:28:46

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