Write proper pseudocode for the Partition method used in Quick Sort, for sorting an array A[1, ..., n]. Clearly specify the pivot.

please show work and write the answer on a piece of paper to answer the question

Consider sorting n numbers stored in array A[1:n] by first finding the smallestelement of A[1:n] and exchanging it with the element in A[1]. Then find thesmallest element of A[2:n], and exchange it with A[2]. Then find the smallestelement of A[3:n], and exchange it with A[3]. Continue in this manner for thefirst n-1 elements of A. Write pseudocode for this algorithm, which is knownas selection sort. What loop invariant does this algorithm maintain? Why does itneed to run for only the first n-1 elements, rather than for all n elements? Give theworst-case running time of selection sort in big theta notation. Is the best-case runningtime any better?

Suppose that we would like to use counting sort to sort the following list of numbers . What is the initial C array constructed (not the accumulated)? The last element in array C is 1, fill the following blanks for the first 5 elements starting from the first blank. Insert digits and no decimal points.