2) Sort the elements of the following array using heap-sort in increasing order. All steps of the solution are writtenin the details.A=(9,4,3,7,2,1,8,5)

To solve the problem of sorting the array A = [9, 4, 3, 7, 2, 1, 8, 5] using heap sort in increasing…

Answered: 2) Sort the elements of the following…

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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Problem 1: Recursive Array Search. Define and test a recursive method for a sequential search of an integer array. The method should return the index of the searchKey in the array, or return -1 if the searchKey is not found.
Complete the swift function given below and test it for the array [14, 67, 4, 16]
Programming Language:- C
12) Fun With Mergesort. Given the recursive mergesort function below. Modify the msort function such that, msort calls msort for sub arrays with more than 1024 elements, and msort calls bsort for sub arrays with 1024 or less elements. Assume both functions operate on the same global array. int data[4294967296]; // REALLY BIG array void bsort (int f, int 1); // forward declaration void msort (int f, int 1) int m; if (f<1) { m - (f+1)/2; msort (f, m): msort (m+1,1): merge (f,m, 1);
: In searching an element in an array, linear search can be used, even though simple to implement, but not efficient, with only O(n) time complexity. Assuming the array is already in sorted order, modify the search function below, using a better algorithm, so the average time complexity for the search function is O(log n). include <iostream> using namespace std; int search(int al), int s, int v) { 1/ Modify below codes. for (int i = 0; i <s; i++) { if (a[i] = v) return i; return -1; int main() { int intArray:10] = { 5, 7, 8, 9, 10, 12, 13, 15, 20, 34); // Search for element '12' in 10-elements integer array. cout << search(intArray, 10, 12); // '5' will be printed out. // Search for element '35' in 10-elements integer array. cout << search(intArray, 10, 35); // '-1' will be printed out. // Index '-l' means that the element is not found. return 0;
Lecture: Analysis of Algorithms >> Recursion: Tail and Non-Tail << Write a function to find the largest element of an array using;a.Tail recursionb. Non-tail recursion
Q: Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n [10] Suppose a number in the sequence is missing. Write the mathematical process to find the missing number, i.e. some equation. What is the time complexity of finding the missing number in the sequence?
3. Largest: a recursive function that computes the largest value for an integer array of positiveand negative values. For example, for the array below, the function largest should return 22,which is the largest value in the array. You can assume there are no more 20 integers in thearray. Think of how to formulate the recurrence relation in this problem yourself.
ALGO1(A)// A is an integer array, an index that starts at 11): for i=1 to n-1 do2): minIndex = findSmallest(A,i)3): exchange A[i] with A[minIndex] The sub-routine find the smallest(A, i) in Line 2, and returns the index of the smallest element in thesub-array A[i:n]Suppose the array below is provided as input to ALGO1 2 5 6 7 3 8 1 4 Fill in the Blanks At the end of the first iteration of the for loop (i.e. with i=1)1) a) the element at index 1 is : b) the element at index 4 is : c) the element at index 7 is :
Language is Python
VelTech Codeathon Jan Finals Test will be Lowest Common Multiple (LCM) You are given an array of positive integers, arr, of size array length. You are asked to build set S which consists of the LCM of every pair of adjacent elements in arr. Your task is to find the largest element in set S For example, for the array (1, 2, 3, 4), set S = { Icm(1,2), Icrm(2,3), Icrm(3,4) } = (2, 6, 12). The largest element is Fill you 12 Notes The array contains only positive integers. Adjacent elements may NOT be circular, ie. they may not wrap around the end of the array Definition of LCM A multiple of a number, num, is a number that can be divided by num. For example, the multiples of 5 are 5, 10, 15, 20, 25, and so on, The lowest common multiple (LCM) of two numbers, a and b, is the smallest positive number that is a multiple of both a and b Example 1 Input 4 1324 Output 9. Explanation set S= (lcm(1, 3), Icm(3, 2), Icm(2, 4) ) = (3, 6, 4) Largest element 6 Example 2 Pro Input 7329 12 Output 36…
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2) Sort the elements of the following array using heap-sort in increasing order. All steps of the solution are written in the details. A=(9,4,3,7,2,1,8,5)