Accenture OA-2 2024

Problem Description

Daniel has a ball. He wants to find the ball's rebound height , which he dropped from height H with an initial velocity V. After the Nth rebound the final velocity of the ball is Vn . Your task is to help him and return an integer value representing the height to which the ball rebounds after N bounces.

Note:

• H'=H×e^2n, where H' is the rebound height, H is the initial height, e is the coefficient of restitution, and n is the number of bounces.
• e^n = V/Vn , where V is the initial velocity and Vn is the final velocity.

Input Format:

• First line contains an integer H, representing initial height
• Second line contains an integer V, representing initial velocity
• Third line contains an integer Vn​, representing final velocity

Output Format:

Return an integer value representing the height to which the ball rebounds after N bounces.

Constraints

• H > 0
• V > 0
• 0 < Vn <= V
• Rebound Height > 0

Examples

Sample Input:

10
20
5

Sample Output:

160

Explanation:

In the example, the ball is dropped from a height H = 10 with an initial velocity V = 20. After N = 5 bounces, each bounce reduces the velocity due to energy loss (based on a coefficient of restitution e). The rebound height after these bounces can be calculated by finding the final velocity Vn after 5 bounces and then using it to determine the rebound height.