Big-O for Eight Year Olds? [duplicate]

I’m asking more about what this means to my code. I understand the concepts mathematically, I just have a hard time wrapping my head around what they mean conceptually. For example, if one were to perform an O(1) operation on a data structure, I understand that the number of operations it has to perform won’t grow because there are more items. And an O(n) operation would mean that you would perform a set of operations on each element. Could somebody fill in the blanks here?

  • Like what exactly would an O(n^2) operation do?
  • And what the heck does it mean if an operation is O(n log(n))?
  • And does somebody have to smoke crack to write an O(x!)?

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