poj 2641 Billiard

Billiard

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 1160		Accepted: 736

Description

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

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

Sample Output

45.00 141.42
33.69 144.22
3.09 7967.81

#include<iostream>
#include<iomanip>
#include<cmath>
using namespace std;
const double Pi=3.141592653;
int main()
{
    double a,b,s,m,n;
    while(cin>>a>>b>>s>>m>>n)
    {
        double degree1,degree2,v;
        if(a==0&&b==b&&s==0&&m==0&&n==0)
            break;
        degree1=atan(n*b/(m*a));
        v=(b*n)/(sin(degree1)*s);
        degree2=degree1/Pi*180.0;
        cout<<fixed<<setprecision(2)<<degree2<<''<<v<<endl;
    }
    return 0;
}