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The Binary Insertion Sort Algorithm is a variation of the Insertion Sort Algorithm that uses a...

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Advance Math

The Binary Insertion Sort Algorithm is a variation ofthe Insertion Sort Algorithm that uses a binary search techniquerather than a linear search technique to insert the ithelement in the correct place among the previously sortedelements.
(i) Express the Binary Insertion Sort Algorithm inpseudocode.
(ii) Compare the number of comparisons of elements used by theInsertion Sort Algorithm and the Binary Insertion Sort Algorithmwhen sorting the list (7,4,3,8,1,5,4,2).
(iii) Show that the Insertion Sort Algorithm usesO(n2) comparisons of elements.
(iv) Find the complexity of the Binary Insertion Sort Algorithm. Isit signi?cantly faster than Insertion Sort?

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