Pressure Calculation
Time Limit: 1 Second Memory Limit: 32768 KB
Cut a round pipe into halves, take away one, and put the other on the plumb
plane. Two ends of the half-round pipe are horizontal. Then put 2*n same balls
whose radius are equal to the pipe's into the pipe. Be sure the left one and
the right one are just tangent with the pipe's ends.
Assume each ball weighs G. Given the number k, you are required to calculate
the pressure between the the kth and the (k+1)th ball. (There will be no friction
at all.)
Input
Input consists of several test cases. Each case will contain 2 positive integer
n and k. (2 <= n <= 100, 1 <= k < 2 * n)
Notice that the left ball marked 1.
The input ends with 0 0.
Output
Output the pressure between the the kth and the (k+1)th ball. Check it in the sample. Accurate to 2 decimal places.
Sample Input
2 1 100 2 0 0
Sample Output
1.00 G 2.00 GSubmit
Source: ZOJ Monthly, February 2004