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if you want to sort 3 values using a comparison-based sort, you cannot beat 3 comparisons, worst case.

if you want to sort 3 values using a comparison-based sort, you cannot beat 3 comparisons, worst case. Suppose that you had a special, hardware based comparison, that compared 3 values at once, and gave an output based on which permutation of the items was given. How many comparisons, in the worst case, would the same argument give you, for sorting 6 items? Show any calculations.

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