Have you never understood the solution to a puzzle much more easily than solving it yourself? I feel there's literally a huge branch of mathematics dedicated to the difference between finding and validating a solution.
More specifically, I didn't know how to solve it, though obviously could have spent much more time and learned. There were only a small number of possible cases, but I needed certain ones to work and others not to. I was easily able to create the examples but not find the solution. With looping through claude I could solve it in a few minutes. I then got an explanation, could read the right relevant docs and feel satisfied that not only did everything pass the automated checks but my own reasoning.
