Write a report on an algorithm, which contains an explanation of the algorithm and how it works, the algorithm code, and an analysis of the algorithm $($Time Complexity$),$ and attach a table comparing the time consumed by the algorithm in seconds when the size of the input $($N$)$ is as follows:

Input Size$($N$)$

$100000$

$1000000$

$1000000000$

Note that the report must not be less than two pages