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Prove that no comparison-based sorting algorithm

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Reference no: EM132398855

1.

a) Prove that no comparison-based sorting algorithm can correctly sort any four input numbers using only four comparisons.

b) What is the smallest positive integer i such that no comparison-based sorting algorithm can correctly sort any i numbers using at most i+5 comparisons? To prove that i is the minimum, also show that any j numbers can be sorted with at most j+5 comparisons for j ∈ {1, 2, . . . , i-1}.

Reference no: EM132398855

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