I think there may be some more formal definition of intuition but I'm not the expert in philosophy / psychology so I dare not to give a rigorous definition. In my own words, intuition is a process of thinking unconsciously and arriving at the conclusion without step-by-step analytics. It seems like you undergo some sort of thinking on the problem and get the solution after the "ding". In my opinion, intuition is more like getting the solution which we don't know how and which may not be but most of the time is correct. So it seems like your case is a little bit not the same as intuition. I can't really formalize my thoughts and so sorry for not being able to write in simple words : )