Consider an implementation of QuickSort that, given an array A[0..n - 1] of n elements, always chooses A[floor (n/2)] as its pivot. Fill in the array below with the numbers from 1 to 20 such that the pivots chosen are 1,2,..., 20, in that order.

Consider an implementation of QuickSort that, given an array A[0..n - 1] of n elements, always chooses A[floor (n/2)] as its pivot. Fill in the array below with the numbers from 1 to 20 such that the pivots chosen are 1,2,..., 20, in that order.

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter8: Arrays And Strings

Section: Chapter Questions

Problem 24PE

See similar textbooks

Similar questions

solve this. In between.
Suppose the elements of an array A containing positive integers, denote the weights in kilograms. And we have a beam balance. We want to put the weights on both pans of the balance in such a way that for some index 0 < i < A.length - 1, all values starting from A[0], A[1], upto A[ i - 1], should be on the left pan. And all values starting from A[ i ] upto A[ A.length - 1] should be on the right pan and the left and right pan should be balanced. If such an i exists, return true. Else, return false. Input: [1, 1, 1, 2, 1] Output : true Explanation: (summation of [1, 1, 1] = summation of [2,1]) Input: [2, 1, 1, 2, 1] Output: false Input: [10, 3, 1, 2, 10] Output: true Explanation: (summation of [10, 3] = summation of [1,2,10]))
suppose we are maintaining a collection of C elements such that, each time we add a new element to the collection, we copy the contents of C into a new array list of just the right size. What is the running time of adding n elements to an initially empty collection C in this case?
An array A[1 . . n] of integers is a mountain if it consists of an increasing sequence followed by a decreasing sequence, or more precisely,If there is an index m ∈ {1, 2, . . . , n} such that• A[i] < A[i + 1] for all 1 ≤ i < m, and• A[i] > A[i + 1] for all m ≤ i < n.In particular, A[m] is the maximum element, and it is the unique “locally maximum” element surrounded by smaller elements (A[m − 1] and A[m + 1]).Give an algorithm to compute the maximum element of a mountain input array A[1 . . n] in O(log(n)) time.
Given an integer array nums that may contain duplicates, return all possible subsets (the power set). The solution set must not contain duplicate subsets. Return the solution in any order.ONLY JAVASCRIPT
Given an array, find the total number of inversions of it. If (i < j) and (A[i] > A[j]), then pair (i, j) is called an inversion of an array A. We need to count all such pairs in the array. For example, Input: A[] = [1, 9, 6, 4, 5] Output: The inversion count is 5 There are 5 inversions in the array: (9, 6), (9, 4), (9, 5), (6, 4), (6, 5)
Consider an Array arr= {2, 3, 4, 1, 5}, what are the pivots that are returned as a subsequent partitioning: 1 and 2 1 and 6 2 and 6 1 and 3
You are given the head of a linked list with n nodes. For each node in the list, find the value of the next greater node. That is, for each node, find the value of the first node that is next to it and has a strictly larger value than it. Return an integer array answer where answer[i] is the value of the next greater node of the ith node (1-indexed). If the ith node does not have a next greater node, set answer[i] = 0. Definition for singly-linked list.* struct ListNode {* int val;* ListNode *next;* ListNode() : val(0), next(nullptr) {}* ListNode(int x) : val(x), next(nullptr) {}* ListNode(int x, ListNode *next) : val(x), next(next) {}* };*/class Solution {public:vector<int> nextLargerNodes(ListNode* head) { }};
Given an integer n and an array a of length n, your task is to apply the following mutation to a: Array a mutates into a new array b of length n. For each i from 0 to n - 1, b[i] = a[i - 1] + a[i] + a[i + 1]. If some element in the sum a[i - 1] + a[i] + a[i + 1] does not exist, it should be set to 0. For example, b[0] should be equal to 0 + a[0] + a[1].
Given an integer array A of size N where every element is in the range [0, 9]. When traversing the array, one could move from index į to index (i-1), index (i+1) or index j # į such that A[i]=A[j]. For example, given A = {4, 3, 1, 6, 3, 7, 1}, one can move • From A[0] to A[1] • From A[1] to A[2], A[0] or A[4] (since A[4]=A[1]=3) • From A[2] to A[3], A[1] or A[6] (since A[6]=A[2]=1) From A[3] to A[4], A[2] • And so on. The task is to compute the minimum number of moves to reach to the last index of the array starting from the first index. Examples: Input: A = {1, 2, 3, 4, 1, 5} Output: 2 Explanation: First move from A[0] to A[4] and then from A[4] to A[5]. Input: A = {1, 2, 3, 4, 5, 1} Output: 1 Explanation: Move from A[O] to A[5]. 6. Input: A = {1, 2, 3, 4, 5, 6, 7, 3, 4, 5, 4, 3, 6, 1, 5, 5, 4, 4, 7, 7} Output: 5 Explanation: Move from A[0] to A[13], from A[13] to A[12], from A[12] to A[5], from A[5] to A[6], from A[6] to A[19]. a) Explain how you would represent this problem as a…
Given an array containing integers with N elements, and the sum of consecutive elements in the array with an integer k find out how many of them can be divided into a given integer k without remaining. The array contains n grain elements (array = [ array[0], array[1], …, array[n-1]]). K is a positive integer The sum of consecutive elements for any (first, next) pair first < next ise array[first] + array[next] Enter the Java code that returns the result for the integer array (array) and integer (k) entered in this scope Define the section to be calculated as a Java object (“Question2”). take the note sequence as an entry. public Question2(int[] input) In the “countSumPairs” method to be calculated, take the value “k” as an input and how many pieces in total return that the sum of the pairs is divided by the value “k” without remaining. public int countSumPairs(int k) example; public class Question2 {public Question2(int[] input) {}// Complete the countSumPairs function…
You are given an array of positive integers S[1, . . . , n]. You are initially positioned at the array’s first index 1, and each element S[i] represents your maximum length of jump at position i. For example, you can jump from position i to any position among i + 1, . . . , i + S[i]. Return true if you can reach the last index, or false otherwise. Precisely define the subproblem.Provide the recurrence equation.Describe the algorithm in pseudocode to compute the optimal value.Describe the algorithm in pseudocode to print out an optimal solution.