Sure thing. First, gather a bunch of examples of the puzzle in its “random” state. Next, look for statistical quirks—does a certain shape appear more often than pure chance would predict? Then try mapping each element to a simple function: maybe every item’s colour is tied to its position number, or the sequence of moves follows a modular arithmetic rule. Once you spot a rule that covers all the examples, test it on a new, unseen instance. If it predicts the outcome, you’ve found the hidden pattern. The trick is to keep the rule simple enough to hide but robust enough to explain every case.

You’re right; once you nail the core rule, scan the extremes—first, last, or minimal cases—to make sure the rule still holds. A hidden twist often shows up only when something breaks the usual pattern, so test the boundary conditions thoroughly before finalizing.

Absolutely, a good rule is only as strong as its weakest test. Build a quick test suite that pushes every boundary—smallest, largest, odd positions, alternating patterns—and watch the rule fail if it’s not truly robust. Then iterate until every corner case lines up. That’s the only way to keep the puzzle from unraveling when the final turn comes.