Question: 3. (10 Points) Let A[1,2,..., n] be an unsorted array of distinct numbers (i.e. it j = A[i] + A[j]). The pair (i,j) is called

3. (10 Points) Let A[1,2,..., n] be an unsorted array of

3. (10 Points) Let A[1,2,..., n] be an unsorted array of distinct numbers (i.e. it j = A[i] + A[j]). The pair (i,j) is called an inversion of A[1, 2, ..., n) if (i)i A[j]. We want to count the total number of inversions in the array A[1, 2, ..., n]. Give a divide-and-conquer algorithm whose worst case complexity is O(n lg n)

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!

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,...

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...

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...

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...

Inversions. 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 . (b) What array with elements...

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. (See Problem 2-4 for more on inversions.) Suppose that each element of A...

2. Introduction This programming assignment is meant for practicing recursion, and this document will guide you to the final solution. Description of problem Alice and Bob saw an interesting matrix...

1. Use indicator random variables to compute the expected value of the sum of n dice. You can assume that all n dice are fair and the rolling of each die is independent with other rolling. 2. Each of...

3. (25 points) Let A[1..] be an array of n distinct numbers. If i A, the pair (i,j) is called an inversion of A. (a) List all the inversions of the array(2,3, 8,6, l). b) What array with elements...

Task 2. [ 70 Points ] Rank Sort The RANK-SORT algorithm given in Figure 1 accepts an array of distinct numbers, and rearranges the numbers in the array in increasing order of value. RANK-SORT (A) 1....

Consider an economy that uses labor and capital to produce two goods, beer (x) and peanuts (y), subject to technologies that exhibit constant returns to scale. The marginal cost of a 12-ounce can of...

Consider the revenues (in $ millions) for the top 12 companies in the Fortune 500 (from www.fortune.com/fortune/fortune500/ on January 30, 2001), as shown in Table 4.3.6. a. Find the five-number...

What are the advantages and disadvantages of two supermarket chains merging?

Compared with half a century ago, adoption has become _ _ _ _ _ _ _ _ _ common, but it is more open and acceptabl e , so we probably discuss it _ _ _ _ _ _ _ . fill in the blanks more or much less or...

How would redundant storage of values in columns in a Table be eliminated?

What do Primary Keys, along with Third Normal Form Design in a Database Model, achieve?

Describe Table Structures in RDMSs.