You are not the only one who thought that; see the comments to my post. As I note in part two, the point of the article was to show the general method; there a

You are not the only one who thought that; see the comments to my post. As I note in part two, the point of the article was to show the general method; there are of course many ways to solve the original problem more efficiently. The specific problem is trivial and unimportant.