Consider sorting n numbers stored in array A by first finding the smallest element of A and exchanging it with the element in AŒ1. Then find the second smallest element of A, and exchange it with AŒ2. Continue in this manner for the first n1 elements of A. Write pseudocode for this algorithm, which is known as selection sort. What loop invariant does this algorithm maintain? Why does it need to run for only the first n 1 elements, rather than for all n elements? Give the best-case and worst-case running times of selection sort in ‚-notation.