Trace the quicksort algorithm on the following array. Use the first item as the pivot (partition point) when doing a partition. 35, 6, 56, 43, 23, 19, 2 a) Show the series of item swaps that are performed in the partition process, and the array after each of these swaps, up to and including the step of placing the pivot at its correct location. You only need to show one partition (the partition of the original array). Enter your answer here
b) Show the full quicksort (recursion) tree, i. e. all partitions, on original array and all subarrays. Enter your answer here

The idea that, for each pair of devices v and w, there’s a strict dichotomy between being “in range” or “out of range” is a simplified abstraction. more accurately, there’s a power decay function f (·) that specifies, for a pair of devices at distance δ, the signal strength f(δ) that they’ll be able to achieve on their wireless connection. (we’ll assume that f (δ) decreases with increasing δ.) we might want to build this into our notion of back-up sets as follows: among the k devices in the back-up set of v, there should be at least one that can be reached with very high signal strength, at least one other that can be reached with moderately high signal strength, and so forth. more concretely, we have values p1 ≥ p2 ≥ . . ≥ pk, so that if the back-up set for v consists of devices at distances d1≤d2≤≤dk,thenweshouldhavef(dj)≥pj foreachj. give an algorithm that determines whether it is possible to choose a back-up set for each device subject to this more detailed condition, still requiring that no device should appear in the back-up set of more than b other devices. again, the algorithm should output the back-up sets themselves, provided they can be found.\