A standard science experiment is to drop a ball and see how high it bounces. Once the $$bounciness$$ of the ball has been determined, the ratio gives a bounciness index. For example, if a ball dropped from a height of $10$ feet bounces $6$ feet high, the index is $0\mathrm{.}6,$ and the total distance traveled by the ball is $16$ feet after one bounce. If the ball were to continue bouncing, the distance after two bounces would be $10$ ft $+6$ ft $+6$ ft $+3\mathrm{.}6$ ft $=25\mathrm{.}6$ ft$.$ Note that the distance traveled for each successive bounce is the distance to the floor plus $0\mathrm{.}6$ of that distance as the ball comes back up$.$ Write a program that lets the user enter the initial height from which the ball is dropped and the number of times the ball is allowed to continue bouncing. Output should be the total distance traveled by the ball.

The program should include the following:

$1.$ Docstring with name a program description $(1\%)$

$2.$ User inputs for initial height, bounces height and number of bounces $(1\%)$

$3.$ Implement the program using a FOR loop $(3\mathrm{.}5\%)$

$4.$ Implement the program using a WHILE loop $(3\mathrm{.}5\%)$

$5.$ Leave a comment above each loop $(1\%)$