Explain why selection sort can be viewed as a divide and conquer algorithm. Compare selection sort...

Explain why selection sort can be viewed as a divide and conquer algorithm. Compare selection sort with insertion sort with respect to performance (consider worst case and best case running times).

Expert Solution

hello sir,

I have given algorithm and time complexity analysis os selection and insertion sort

in terms of comparison insertion sort is better the selection sort

i have given 1 example of both algorithms

venereology answered 1 month ago

1. If we view the selection sort as an application of "divide and conquer" strategy, what...

1. If we view the selection sort as an application of "divide and conquer" strategy, what is the two-part partitioning of the index range [0, n)? Is it a balanced partition? 2. For the "divide and conquer" strategy for developing algorithm, do we pursue balanced partitioning or unbalanced partitioning? Why? 3. For the quicksort, the selection of pivot determines the quality of partitioning. Do we have any easy or cheap way for selecting a good pivot that always leads to...

a. Develop a divide-and-conquer algorithm to perform a parallel merge sort of an array. Hint: After...

a. Develop a divide-and-conquer algorithm to perform a parallel merge sort of an array. Hint: After division, each process sorts its part of the array using an efficient algorithm. Then, the subarrays are merged into larger sorted subarrays. b. Analyze the communication and computation times if the number of processes is equal to the number of array elements, n. c. Repeat Part b if the number of processes is less than the number of array elements. Assume that the computation...

Q. Explain how a divide and conquer algorithm for detecting whether or not the number 5...

Q. Explain how a divide and conquer algorithm for detecting whether or not the number 5 exists in an array would work. Your explanation should include: - a description of your algorithm using psuedocode - a proof of correctness of your algorithm - an analysis of the runtime of the algorithm

Analyzing Selection Sort Algorithm The selection sort algorithm works by first finding the smallest value in...

Analyzing Selection Sort Algorithm The selection sort algorithm works by first finding the smallest value in a list and swapping the first value with it, then finding the second smallest value and swapping the second value with it, continuing until all the values are in order. Implement this algorithm, then determine its growth function, and hence the order of the algorithm. Find how many swaps are made. Use Java Code to create algorithm

Write a version of the selection sort algorithm in a function called selectionSort that can be...

Write a version of the selection sort algorithm in a function called selectionSort that can be used to sort a string vector object. Also, write a program to test your algorithm. The program should prompt the user for a series of names. The string zzz should end the input stream. Output the sorted list to the console. *Need answer in C++*

3. Suppose that a divide and conquer algorithm for multiplication of n x n matrices is...

3. Suppose that a divide and conquer algorithm for multiplication of n x n matrices is found such that it requires 6 multiplications and 31 additions of n/2 x n/2 submatrices. Write the recurrence for the running time T(n) of this algorithm and find the order of T(n).

The following divide-and-conquer algorithm is designed to return TRUE if and only if all elements of...

The following divide-and-conquer algorithm is designed to return TRUE if and only if all elements of the array have equal values. For simplicity, suppose the array size is n=2k for some integer k. Input S is the starting index, and n is the number of elements starting at S. The initial call is SAME(A, 0, n). Boolean SAME (int A[ ], int S, int n) { Boolean T1, T2, T3; if (n == 1) return TRUE; T1 = SAME (A,...

Let A be an integer array of length n. Design a divide and conquer algorithm (description...

Let A be an integer array of length n. Design a divide and conquer algorithm (description and pseudo code) to find the index of an element of the minimum value in the array. If there are several such elements, your algorithm must return the index of the rightmost element. For instance, if A = {0,2,4,5,2,0,3,10}, then the algorithm should return 5, which is the index of the second 0.

1a. Write pseudocode for a divide-and-conquer algorithm for finding the po- sition of the largest element...

1a. Write pseudocode for a divide-and-conquer algorithm for finding the po- sition of the largest element in an array of n numbers. 5. Find the order of growth for solutions of the following recurrences. a . T(n)=4T(n/2)+n,T(1)=1 b. T(n)=4T(n/2)+n2,T(1)=1 c. T(n)=4T(n/2)+n3,T(1)=1

4) Implement the Selection Sort algorithm discussed in class to sort a list of a certain...

4) Implement the Selection Sort algorithm discussed in class to sort a list of a certain size. The list is to be implemented using a dynamic array as well as a singly linked list. You are required to compare the performance (sorting time) for the dynamic array and singly-linked list-based implementations. You are given the startup codes for the dynamic array and singly-linked list based implementations. You are required to implement the Selection Sort function in each of these codes....

Question