As someone who has taught this to CS students, just scrolling through I have to say it looks like this has about 5x more text it should have. This is a homework

As someone who has taught this to CS students, just scrolling through I have to say it looks like this has about 5x more text it should have. This is a homework problem for second-year students (literally, where I used to teach) that should take them no more than a page to answer.