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"Oh I was using the common meaning of the word algorithm, not the technical one."

Gonna blow your mind here: as a person who knows what an algorithm actually is I couldn't reliably give you a definition of the "common" meaning of the word "algorithm" because as far as I can tell it just means "bad".

Besides, the technical definition is the one you were introduced to in elementary school when your teacher introduced story problems, so you can use the word correctly. I believe in you.