Write a C++ program that implements the Filter algorithm using multiple threads or processes. The Filter algorithm generalizes Peterson's algorithm with an N-element integer level array, where the value of level[i] indicates the latest level that thread i is interested in entering. You will need to do the following:

1. Write at least 3 processes or threads that do the same type of work. Example: A simple math problem, manipulating values on int variables

2. Create a timer that calls the processes randomly for a set number of iterations.

3. Implement the Filter algorithm to keep them sorted out.

4. Include a description of your solution.