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1995 East-Central Regionals
ACM International Collegiate programming Contest
sponsored by Microsoft
Practice Problem 2 - The Marble
Consider a right circular cone standing upright on its apex. A marble is to be dropped
into the cone, and we are to find the height of the top of the marble after it comes
to rest in the cone.
The angle at the apex of the cone, 
, and the radius of the marble,
R, will be given within the following limits:
45.000° <= <= 90.000°
0.001 <= R <= 1.000
In this problem, you'll receive a series of data sets. Each data set contains two
real values on a single line, the angle , given in degrees,
followed by the radius, R. For each set of data values, give the resulting
height as the output. The units of height are whatever the units used for R
are, and are unspecified.
Input
The input consists of a series of data sets. Each data set has two real
values on a line, the value for , in degrees, followed
by the value for R. The default real/float input format should be used.
Both input values will be zero to indicate the end of data.
Output
A line with a single real value is to be emitted for each input data set encountered.
This value to be reported is the height of the top of the marble. The default
real/float output format should be used. Answers must be within 0.1% of the correct answer.
Example
| Input File
|
| Output File
|
90.000 1.000
0.000 0.000
|
| 2.414
|
This page maintained by
Ed Karrels.
Last updated November 6, 1997