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

The Binary Insertion Sort Algorithm is a variation of the Insertion Sort Algorithm that uses a binary search technique rather than a linear search technique to insert the i^th element in the correct place among the previously sorted elements.
(i) Express the Binary Insertion Sort Algorithm in pseudocode.
(ii) Compare the number of comparisons of elements used by the Insertion Sort Algorithm and the Binary Insertion Sort Algorithm when sorting the list (7,4,3,8,1,5,4,2).
(iii) Show that the Insertion Sort Algorithm uses O(n²) comparisons of elements.
(iv) Find the complexity of the Binary Insertion Sort Algorithm. Is it signiﬁcantly faster than Insertion Sort?

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Expert Solution

Colby Messinger answered 2 years ago

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