What is the run time of the following algorithm?Counting-Sort(A, B, k)let c[0..k] be a new arrayfor i = 0 to kC[i] = 0for j = 1 to A.lengthC[A[j]] = C[A[j]]+1for i=1 to kC[i] = [[i] + [i-1]for j = A.length downto 1B[C[A[j]]] = A[j]C[A[j]] = C[A[j]] - 1О Ө (п 1g n)O O (lg n)O 0 (n)O e (n²)Question 5When the counting-sort algorithm in the previous question completes, B will contain the same elements as A,but in sorted order. Prove the correctness of this algorithm.

Counting-Sort(A, B, k) let [[0..k] be a new array for i = 0 to k [[i] = 0 for j = 1 to A.length C[A[j]] = C[A[j]]+1 %3D for i=1 to k C[i] = C[i] + C[i-1] for j = A.length downto 1 B[C[A[j]]] = A[j] C[A[j]] = C[A[j]] - 1 O O (n lg n) O O (lg n) O 0 (n) O e (n²) Question 5 When the counting-sort algorithm in the previous question completes, B will contain the same elements as A, but in sorted order. Prove the correctness of this algorithm.

Counting-Sort(A, B, k) let [[0..k] be a new array for i = 0 to k [[i] = 0 for j = 1 to A.length C[A[j]] = C[A[j]]+1 %3D for i=1 to k C[i] = C[i] + C[i-1] for j = A.length downto 1 B[C[A[j]]] = A[j] C[A[j]] = C[A[j]] - 1 O O (n lg n) O O (lg n) O 0 (n) O e (n²) Question 5 When the counting-sort algorithm in the previous question completes, B will contain the same elements as A, but in sorted order. Prove the correctness of this algorithm.

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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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?
Rank SortWrite an efficient parallel program that reads n integers from any input file and implements rank sort using p processors (p << n). Assume n is divisible by p.Given n integers stored in an array, rank sort computes rank of every a[j] as follows: Rank a[j] = no. of array elements that are ≤ a[j] for k = 0, 1, 2 … j-1 + no. of array elements that are < a[j] for k = j+1, j+2, j+3,… n – 1 Note: Every a[j] is compared with all array elements.
The last index numbers of an array of size NxM will be: [N-1][M-1] [N][M] 2NM None of the answers are correct.
Number of times you need to assign a value (let say -1) to all elements of a 4-demnsional array A[k, l, m, n] (to initialize it) can be expressed mathematically as product of sets cardinalities Write a pseudo-code that does this assignment.
operation of insertion-sort on the array A= {31,41,59,26,41,58}
Computer Science problem on Algorithms
Reverse the order of a n-element array in C What am I doing incorrectly and how can I fix? My code: #include <stdio.h> sort(int *p, int m) { //Write your code here for(int i = 0; i<n/2; i++){ temp = arr[i]; arr[i] = arr[n-i-1]; arr[n-i-1] = temp; } } main(){ int i, n; int *p, num[20]; printf("input n:"); scanf("%d", &n); printf("please input these numbers:\n"); for (i = 0; i < n; i++) scanf("%d", &num[i]); p = &num[0]; sort(p, n); printf("Now, the sequence is:\n"); for (i = 0; i < n; i++) printf("%d ", num[i]); }
For each n-element array an, the first element is always what is returned by a[1]. What is true, and what is false?
, WAP to take one element from each of the array add it to the target sum.Print all those three-element combinations. /*A = [1, 2, 3, 3]B = [2, 3, 3, 4]C = [2, 3, 3, 4]target = 7*/ Result:[[1, 2, 4], [1, 3, 3], [1, 3, 3], [1, 3, 3], [1, 3, 3], [1, 4, 2], [2, 2, 3], [2, 2, 3], [2, 3, 2], [2, 3, 2], [3, 2, 2], [3, 2, 2]]""".
Java Quick Sort but make it read the data 10, 7, 8, 9, 1, 5 from a file not an array // Java implementation of QuickSort import java.io.*; class GFG { // A utility function to swap two elements static void swap(int[] arr, int i, int j) { int temp = arr[i]; arr[i] = arr[j]; arr[j] = temp; } /* This function takes last element as pivot, places the pivot element at its correct position in sorted array, and places all smaller (smaller than pivot) to left of pivot and all greater elements to right of pivot */ static int partition(int[] arr, int low, int high) { // pivot int pivot = arr[high]; // Index of smaller element and // indicates the right position // of pivot found so far int i = (low - 1); for (int j = low; j <= high - 1; j++) { // If current element is smaller // than the pivot if…