Consider sorting n numbers stored in array A by first finding the smallest element of A and exchanging it with the element in A[1]. Then find the second smallest element of A and exchange it with A[2]. Continue in this manner for the first n-1 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 theta-notation.

There exist sorting algorithms which can sort any list with N elements in O(N log N) time. True False

I need help with this please. Make sure to add your reasonsand arguments for your decisions.

I need to write an algorithm pseudocode that sorts a list of n elements in non-increasing order by finding the largest and smallest elements and exchanging those elements with the elements in the first and last positions. Then the size of the list is reduced by 2, excluding the two elements that are already in the proper positions, and the process is repeated on the remaining part of the list until the entire list is sorted. I also need to analyze the algorithm and show the results using order notation. I was trying to use arguments but I got stuck.