Given an array A with n integers in it, one way of measuring the distance of the array from a sorted
array is by counting inversions. A pair of indices i, j ∈ 0, . . . , n − 1 is called an inversion if i j and
Ai Aj. Clearly a completely sorted array has 0 inversions. If the number of inversions is k is it possible to sort the array in θ(n + k) steps? Is there a standard sorting algorithm that can do this. Choose one out of insertion sort, selection sort,heap sort, bubble sort. HELP!!!!
Given an array A with n integers in it, one way of measuring the distance of the array from a sorted
array is by counting inversions. A pair of indices i, j ∈ 0, . . . , n − 1 is called an inversion if i j and
Ai Aj. Clearly a completely sorted array has 0 inversions. If the number of inversions is k is it possible to sort the array in θ(n + k) steps? Is there a standard sorting algorithm that can do this. Choose one out of insertion sort, selection sort,heap sort, bubble sort. HELP!!!!
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