6. Here is an array [9,7,11,19,12,4,16,25].What will be thedesignated place (Index) for 19 after first Partition of quick sortwhen you assume 19 as pivot? (show simulation in paper)7. Which sorting algorithm (Insertion, Merge, Quick) perform samein all (best, average and worst case) ?8. Given an array which is sorted in descending [large to small] orderand got no repeated numbers. You are asked to apply linearsearch. You are asked to find a number which exists. What shouldbe the worst time complexity and why?9. Have a look at the array below. We are trying to do quicksort onthis array to sort it in ascending order. We wrote an algorithmthat always takes the middle element as pivot. How the array willlook like after first iteration (write in this format: 11,12,13,14,15)Array: 525 76 980 290 38 77 746 266 375. Show the simulation inhandwritten paper

Before implementation first partition array was - [9, 7, 11, 19, 12, 4, 16, 25] Index before…

Answered: 6. Here is an array…

6. Here is an array [9,7,11,19,12,4,16,25]. What will be the designated place(Index) for 19 after first Partition of quick sort when you assume 19 as pivot? (show simulation in paper)

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Apply Quick sort on a given sequence 7 11 14 6 9 4 3 12. What is the sequence after first phase, pivot is first element? 7 6 14 11 9 4 3 12 6 4 3 7 11 9 14 12 6 3 4 7 9 14 11 12 7 6 4 3 9 14 11 12 Quick sort follows Divide-and-Conquer strategy. True False Assume you have the array 7,9,6,10,3,5,8. What will the array look like after we call build-min-heap on the entire array? 3, 7, 5, 10, 9, 8, 6 3, 5, 6, 7, 8, 9, 10 3, 7, 5, 10, 9, 6, 8 10, 9, 8, 7, 6, 5, 3 3, 5, 7, 10, 9, 6, 8 Assume you have the following array: 30, 50, 20, 80, 10, 90, 100. Assume you were to select the quicksort pivot as the middle element of the array. What are the two sub-arrays to be sorted that result after one iteration of quicksort? 30, 50, 20, 10 | 90, 100 10, 20, 30, 50 | 90, 100 30, 50, 20, 10 | 100, 90 30, 20, 50, 10 | 100, 9
Please help me with this algorithm question. suppose we modified the QuickSort algorithm such that we run InsertionSort on the first 10% of A in the Partitionmethod. You may assume the selection of the pivot will be the last element in the range[p, r]. What would be the best and worst case running time of this new algorithm? Explainyour reasoning. // quickSort() method for integer array public void quickSort(int[] A, int p, int r) { if(p < r) { int q = partition(A, p, r); quickSort(A, p, q - 1); quickSort(A, q + 1, r); } } // partition() method for integer array public int partition(int[] A, int p, int r) { int x = A[selectPivot(A, p, r)]; int i = p - 1; for(int j = p; j < r; j++) { if(order) { if(A[j] > x) { i = i + 1; exchange(A, i, j); } } else { if(A[j] <= x) {…
1. a) Given the array of numbers 50 10 90 120 -13 3 89, you are asked to apply BinarySearch to find a certain number. What would be the best achievable time complexity? Give reason b) Let's say we are running QuickSort on an array of size 900. Our algorithm has completed 90 partitions. How many items in the array is now guaranteed to be in their designated spot? c)What can cause worst performance for quick sort algorithm on this array of 900 items?
Every time it has to find two arrays to join, do the following to generate a bottom-up mergesort that takes use of array order: Find the first item in a sorted subarray, then the second, and eventually merge them (by raising a pointer until it finds a smaller element in the array than its predecessor). When estimating the algorithm's execution time, take into account the array size and the number of maximal ascending sequences in the array.
A. Can you draw the animation of Merge sort: given an unsorted array of size 10, show the divide andconquer techniqueb. What is Running time for Merge Sort: O(nlogn) such that n is the size of thearray: Reference code attached
The analysis of the expected running time of randomized Quicksort assumes that all element values are distinct. In this problem, we examine what happens when they are not, i.e., there exist same-valued elements in the array to be sorted. The Quicksort algorithm relies on the following partition algorithm, which finds a pivot randomly, and then put all the numbers less than or equal to the pivot in the left, and put all the numbers greater than the pivot in the right, and then return the pivot location, as well as the left and right sublists for recursive calls. In this algorithm, the list to be sorted is A, and we use p and r to denote the left-most and right-most indices of the currently processing subarray, respectively. For example, in the initial call of the Quicksort algorithm, we will let p = 0 and r = n−1, which correspond to the whole original array. The PARTITION(A, p, r) procedure returns an index q such that each element of A[p : q −1] is less than or equal to A[q] and each…
I hope this question will be solved in less than an hour and not taken from other sitesdata structure Given the following array: 65, 15, 129, 22, 12, 10, 239, 334, 10, 111, 180, 1, 2 What will be the array contents looking like in the following situations: 1) after calling the partition method three times in quick sort if pivot is the last element. 2) after the third iteration of the outer loop in insertion sort. 3) after the third iteration of the outer loop in Selection sort.
Any could help me the following question From the original array of [8 12 14 1 3 5 11 10 9 7 4 2 6 13 16 15], show what the entire array looks like after each time the partition function is called within the Quicksort algorithm. Indicate each time what the selected pivot value is for that partition.
Have a look at the array below. We are trying to do quicksort on this array to sort it in ascending order. We wrote an algorithm that always takes the middle element as pivot. How the array will look like after first iteration(write in this format: 11,12,13,14,15)Array: 525 76 980 290 38 77 746 266 375 . Show the simulation in handwritten paper. Which sorting algorithm (Insertion, Merge, Quick) perform same in all (best, average and worst case) ?
Consider merging two sorted subarrays of array A = (8 10 12 23 5 17 30) by calling merge(A 1 4 7). How many key comparisons will be made?
Write a bottom-up mergesort that makes use of the array's order by carrying out the following steps each time it needs to locate two arrays to merge: locate the first entry in an array that is smaller than its predecessor, then locate the next, and finally merge them to form a sorted subarray. Consider the array size and the number of maximal ascending sequences in the array while analysing the running time of this algorithm.
Given an array as follows5 4 9 10 2 8 1 3 7 6 Suppose we partition this array using quicksort's partition function and using 5 for the pivot. A) Draw the resulting array after the partition finishes.B) The following is an array which has just been partitioned by the first step of quicksort:3 0 2 4 5 8 7 6 9Give all the elements that could be the pivot? (There may be more than one possibility!) PLEASE HELP WITH PART A AND B AND SHOW WORK!!