List appropriate Worst Case Big O Notation under the different algorithms or data structure operations. Please use black, blue, or dark green font color O(1) O(n) O(n ^ 2) O(log n) A. Linear Search of 10 element array B. Accessing the middle element in an array once. C. Directly accessing last element in a 1,000,000 array

List appropriate Worst Case Big O Notation under the different algorithms or data structure operations. Please use black, blue, or dark green font color O(1) O(n) O(n ^ 2) O(log n) A. Linear Search of 10 element array B. Accessing the middle element in an array once. C. Directly accessing last element in a 1,000,000 array

C++ Programming: From Problem Analysis to Program Design

8th Edition

ISBN:9781337102087

Author:D. S. Malik

Publisher:D. S. Malik

Chapter16: Searching, Sorting And Vector Type

Section: Chapter Questions

Problem 16SA

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Q1: Suppose you are given an array A of n Your task is to sort n numbers stored in array A by reading the first element of A and placing it on its original position (position after sorting). Then read the second element of A, and place it on its original position. Continue in this manner for the first n-1 elements of A. What type of sorting is this? Write the algorithm and also mention the name of this sorting algorithm. What loop invariant does this algorithm maintain? Give the best-case and worst-case running times of this sorting algorithm.
Q1)Suppose you are given an array A of n elements. Your task is to sort n numbers stored in array A by reading the first element of A and placing it on its original position (position after sorting). Then read the second element of A, and place it on its original position. Continue in this manner for the first n-1 elements of A. What type of sorting is this? Write the algorithm and also mention the name of this sorting algorithm. What loop invariant does this algorithm maintain? Give the best-case and worst-case running times of this sorting algorithm. Q2)Consider an array consisting of the following sequence: 1, 4, 9, 16, 25, 49, …, n 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? Q3)Sort the text “SARHAD UNIVERSITY” in ascending order using the insertion sort algorithm. Discuss also the best, worst and average case complexity of the…
1. Given an array A = [b, b, a, c, c, a, d, e, e], please use key-indexed counting sorting algorithm to sort the array. Please list your trace step-by-step. 2. Given a set of geometric points {(x1, y1), ..., (xn, yn)}, please design an O(n2lgn) algorithm to check if there are three or more points that lie on a single straight line. 3. Please use Shell Sort Algorithm (without any performance improvement techniques, e.g. Augmented by insertion sort) to sort the following array. A = [5, 6, 7, 8, 9, 10, 4, 3, 2, 1] 4. Please state the known best lower bound for the 3 Sum problem.
Question 17 Aa .You are given a sorted list of n numbers stored in an array A, where n can be arbitrarily large. Now randomly generate a number k and search the number in the list (i.e., in A). Now randomly select two subarrays of A, each of size n^1/2 . Then repeat the same procedure on each of the subarrays. The procedure stops after the subarray sizes become 1. Analyze the time complexity of finding the total number of successful searches in the entire procedure using big O-notation Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line
Consider the following list:18, 8, 38, 25, 45, 12, 74, 60, 30a. This list is to be sorted using the insertion sort algorithm . Show the list after five iterations of the for loop.b. Exactly how many key comparisons are executed during the first fiveiterations of the for loop?
1. Consider a problem of computing the prefix average of a sequence of numbers stored in an array P consisting of P integers. We want to compute an array P such that P is the average of P for P . Consider the two algorithms related to the above problem. Answer the questions given below
#include<iostream>using namespace std;//function to sort elements of arrayvoid sort(int a[], int n){int i,j,temp;for(i=1;i<n;i++){for(j=0;j<n-i;j++){if(a[j]>a[j+1]){temp=a[j];a[j]=a[j+1];a[j+1]=temp;}}}}//function to search location of item using binary searchint binary_search(int a[],int n,int item){int beg,end,mid;beg=0;end=n-1;mid=(beg+end)/2;while((beg<=end)&&(a[mid]!=item)){if(item<a[mid]){end=mid-1;}else{beg=mid+1;}mid=(beg+end)/2;}if(item==a[mid]){return mid;}else{return -1;}}//function to calculate meanfloat mean(int a[],int n){int i;float sum=0;for(i=0;i<n;i++){sum=sum+a[i];}sum=sum/n;return sum;}//main function declarationint main(){int a[50],n,i,item,loc;cout<<"Enter no. of elements you wants: ";cin>>n;cout<<"Enter "<<n<<"array elements:"<<endl;for(i=0;i<n;i++){cin>>a[i];}cout<<"\nThe size of the array entered by user is: "<<n<<endl;cout<<"\nArray elements entered by user…
Consider a Binary Search Algorithm that performs a search for the number 48 within the following unsorted list. Using paper and pencil, show the detailed steps for that search algorithm until 48 is found. You must use bubble sort if need it.1019134353415604870
: 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;
# A has a random order of integers from 0 to 100 inclusive.A = random.sample(range(0, 101), random.randint(1,100))print(A) # A is made of entirely identical entries (all 1s).A = [int(1)]*random.randint(1,100)print(A) Conduct doubling experiments to compare the run time of merge sort vs. quick sort (for both C and D ). Plot the results (both case of array) for array sizes n = 2, 4, ... 1024. merge and quick sort are provided below ### Merge Sort ###def merge (front, back): pos_f, pos_b = 0,0 merged = np.zeros(len(front)+len(back)) for i in range (len(merged)): if pos_f == len(front): merged[i] = back[pos_b] pos_b += 1 elif pos_b == len(back): merged[i] = front[pos_f] pos_f += 1 elif front[pos_f] < back[pos_b]: merged[i] = front[pos_f] pos_f += 1 else: merged[i] = back[pos_b] pos_b += 1 return merged def merge_sort(A): n = len(A) if n <= 1:…
Below is the exercise for unsorted arrays. True or False: For each statement below, indicate whether you think it is True or False 3) For the insert function, if the array is empty, there are no comparison operations that need to be performed and you can immediately add the new element 5) Because the update algorithm depends on using linear search, its performance is O(1) in the worst case scenario 6) If you search for and delete an element in an unsorted array and then shift the rest of the elements to fill the hole, the worst case performance is O(n) 7) If you search for and delete an element in an unsorted array and then move the last element to fill the hole, the worst case performance is O(n)
n a sorted array, from lowest to highest, of all prime numbers less than 100 - searching for which prime numbers using linear search will be better than or equal to binary search? NOTE - in this question marking wrong answers will result in negative scoring, so be extremely careful when answering. Group of answer choices 11 41 5 23 43 29 7 17 37 13 31 2 19 3 47

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A. Linear Search of 10 element array
B. Accessing the middle element in an array once.
C. Directly accessing last element in a 1,000,000 array
D. Executing a Binary Search on reverse sorted list
E. Bubbly Sort a mostly sorted 1,000 element array