Question: Consider the following bubble sort algorithm for an array A[1..n] of length n. The array has the values 1, 2, ..., n, that are randomly

Consider the following bubble sort algorithm for an array A[1..n] of length n. The array has the values 1, 2, ..., n, that are randomly permuted so that each permutation is equally likely.

BubbleSort(A)

fori = 1ton

forj = ndowntoi+1

ifA[j] < A[j-1]

swap A[j] with A[j-1]

end for end for

What is the expected number of swaps in the algorithm in terms of n and why.

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