Ball Bounce Calculation

A ball is dropped from a certain height H (an integer in meters). Each time the ball hits the ground, it rebounds to half of its previous height and then falls again. Write a program to calculate:

• The total distance traveled by the ball by the time it touches the ground for the 10^th time.
• The height of the rebound after the 10^th impact.

Note: The initial drop counts as the first ground contact. Hence, after the first drop, the ball rebounds to \(\frac{H}{2}\) and then falls \(\frac{H}{2}\) again, and so on.

The formulas are as follows:

Total distance \(D = H + 2\left(\frac{H}{2} + \frac{H}{2^2} + \cdots + \frac{H}{2^9}\right)\) and the rebound height after the 10^th impact is \(R = \frac{H}{2^{10}}\).

inputFormat

The input consists of a single integer H (in meters), the initial height from which the ball is dropped.

outputFormat

Output two floating point numbers separated by a space: the total distance traveled by the ball by the time it touches the ground for the 10^th time, and the rebound height after the 10^th impact. The result should be precise up to at least 6 decimal places.

sample

100

299.609375 0.097656