Question: Problem 1. (20 points) Let A -fa,a2 an be an array of n distinct numbers. I i aj, then the pair (i, j) ls called

Problem 1. (20 points) Let A -fa,a2 an be an array

Problem 1. (20 points) Let A -fa,a2 an be an array of n distinct numbers. I i aj, then the pair (i, j) ls called an inversion of A. a) List the five inversions of the array (2,3,8,6,1) b) What array with elements from the set 1,2,.n has the most inversions? How many does it have? c) What is the relationship between the running time of insertion sort and the number of inversions in the input array? Justify your answer. The insertion sort algorithm is reproduced here for your reference. o procedure insertion-sort (ai,a,2, an are n distinct integers for j 2 to do key: a i-j -1 2 3 4whilei >0 and a, > key do D insert aj into the sorted sequence a..,aj-1 i41a 5 6 8 iput now sorted in ascending order Hint: How many inversions does each iteration of the while loop in lines 4 - 6 eliminate

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

1. A[0..n 1] is an array of n distinct numbers. A pair of array members (A[i], A[j]) is called an inversion if A[i] > A[j] for i

Problem 4 (2+3+5+5+7 points) Let A[1, ..., n] be an array of n distinct numbers. If i A[j], then the pair (i,j) is called a reverse pair of A. (a) List the five reverse pairs of the array (2,3, 8,...

(30 points) Let A[1...n] be an array of n distinct numbers (i.e., no two numbers are equal). If i A[j], then the pair (A[i], A[j]) is called an inversion of A. (a) List all inversions of the array...

4 Let A[1..n] be an array of n distinct numbers. In class we said that if i A[j], then the pair (i, j) is called an inversion of A. In Tutorial R5 we used indicator random variables to show that, if...

(20) Let A[1n] be an array of n distinct numbers. If i A[j], then the pair (i, j) is called an inversion of A. (2) List the five inversions of the array A = {2, 3, 8, 6, 1} (3) What...

Question 3: [30 points] Inversions: An important part of sorting, higher the number of inversions, longer the run time to sort the elements) Given any list of n numbers, there are pairs of numbers as...

Let A[1, .., n] be an array of n distinct numbers. If i A[j], then the pair (i, j) is called an inversion of A. a. List the five inversions of the array [2, 3, 8, 6, 1] b. What array with elements...

1. Insertion-sort can be expressed as a recursive procedure as follows. In order to sort A[1..n], we recur- sively sort A[1..n 1] and then insert A[n] into the sorted array A[1..n 1]. (a) Describe...

Let A[1 n] be an array of n distinct numbers. If i A[j], then the pair (i, j) is called an inversion of A. a. List the five inversions of the array 2, 3, 8, 6, 1. b. What array with...

You make I gallon of dark pink paint but use double the amount of each tint recommended in the table. You then make 1 gallon of teal paint and also use double the amount of each tint recommended in...

What is HTML, and why is it needed to use the web? What is HTML5 and how does it differ from previous versions?

When Nortel announced that it was taking $ 1 8 . 4 billion in charges for restructuring costs, bad customer debts, and obsolete inventory, it was taking a ( n ) : Group of answer choices All of the...

Comparative financial statements for Weller Corporation, a merchandising company, for the year ending December 31 appear below. The company did not issue any new common stock during the year. A total...

3. Observance of successful job performers helps a company determine what successful job performers do differently than unsuccessful job performers.45

7. There is sufficient time for conducting an evaluation. Here, information regarding training effectiveness is not needed immediately.

8. There is interest in measuring change (in knowledge, behavior, skill, etc.) from pretraining levels or in comparing two or more different programs.