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An algorithm can be seen as the steps needed to go from a well defined type of input to some well defined output. The input can therefore be everything that one can represent within a computer. In the algorithm you are asking for it seems like the input has already been classified as specific good as in apples are already classified as apples, had it not ...


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The elbow method is not a well-defined algorithm that provides an unambiguous result. Rather, it is a heuristic that involves subjective interpretation. As Wikipedia says, "it is often ambiguous and not very reliable". So, there is no one answer to your question. And, your plot shows an example of a situation that the elbow method is not well-suited to.


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