I remember fondly on early math school, being able to come up with the correct output/answer by doing a totally different "intermediate thinking" that wasn't what the professor expected.

Only after sharing my Chain Of Thought would they believe I didnt cheat.

Not all problems can be solved only in one way.

Most of learning is pattern matching.

If you give a kid a dice. and tell it to figure out the number that will be hidden underneath, he can try to memorize all combinations, or he could figure out that every time the hidden value is the one that sums 7 with the one at the top.

If you're seeing a 6, there's a 1 hidden. etc

most people don't see these patterns until told imho. But others can just see them as they unfold