To write the pseudo code of selection sort and also describe the loop invariants and the running time complexity in best and worst case.

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Chapter 2.2, Problem 2E

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To write the pseudo code of selection sort and also describe the loop invariants and the running time complexity in best and worst case.

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Consider sorting n numbers stored in array A by first finding the smallest elementof A and exchanging it with the element in A[1]. Then find the second smallestelement of A, and exchange it with A[2]. Continue in this manner for the first n-1elements of A. Write pseudocode for this algorithm, which is known as selectionsort. What loop invariant does this algorithm maintain? Why does it need to run foronly the first n - 1 elements, rather than for all n elements? Give the best-case andworst-case running times of selection sort in Θ -notation.

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