[POJ 2461] Billiard
2015-06-24 17:19
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同swustoj 11
Billiard
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
Sample Output
题意:一个长宽分别为ab的矩形桌子中间有一个球,朝着某个方向以某个速度发射出去,在s时间恰好与水平方向碰撞n次,垂直方向碰撞m次,求发射角度与速度。
Billiard
Time Limit: 1000MS | Memory Limit: 65536K | |
Total Submissions: 1362 | Accepted: 842 |
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
题意:一个长宽分别为ab的矩形桌子中间有一个球,朝着某个方向以某个速度发射出去,在s时间恰好与水平方向碰撞n次,垂直方向碰撞m次,求发射角度与速度。
#include<iostream> #include<algorithm> #include<cstdio> #include<cmath> #include<cstring> using namespace std; #define INF 0x3f3f3f3f #define PI acos(-1.0) int main() { int n,m; double a,b,s; while(scanf("%lf%lf%lf%d%d",&a,&b,&s,&m,&n)!=EOF) { if(a+b+s+m+n==0) break; double angel=atan2(b*n,a*m)*180/PI; double v=sqrt(a*a*m*m+b*b*n*n)/s; printf("%.2f %.2f\n",angel,v); } return 0; }
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