Increasing the problem space (as opposed to constantly shrinking it which the author suggests as a trend) can actually make things easier to solve. You can see

Increasing the problem space (as opposed to constantly shrinking it which the author suggests as a trend) can actually make things easier to solve. You can see the small version of that in a language like Prolog where a common pattern is to generalize the problem because more generalized problems tend to be easier to solve/reason about (often because they already come with easy to discover base cases and steps for a recursive approach)