Question: Let S be a sequence of n elements on which a total order relation is defined. Recall that an inversion in S is a pair

Let S be a sequence of n elements on which a total order relation is defined. Recall that an inversion in S is a pair of elements x and y such that x appears before y in S but x > y. Describe an algorithm running in O(nlogn) time for determining the number of inversions in S.

Step by Step Solution

★★★★★

3.35 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Here is the algorithm for above problem It uses the principle of mergesort ... View full answer

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 Introduction to Algorithms Questions!

Given a sequence S of n elements, on which a total order relation is defined, describe an efficient method for determining whether there are two equal elements in S. What is the running time of your...

Suppose we are given two sequences A and B of n elements, possibly containing duplicates, on which a total order relation is defined. Describe an efficient algorithm for determining if A and B...

Let S be a sequence of n integers. Describe a method for printing out all the pairs of inversions in S in O(n+k) time, where k is the number of such inversions.

Let S be an array of n elements on which a total order relation is defined. An inversion in S is a pair of indices i and j such that i S[j]. Describe an algorithm running in O(n log n) time for...

Let S be an array of n elements on which a total order relation is defined. An inversion in S is a pair of indices i and j such that i S[ j ]. Write an Count-inversion(S) algorithm...

Let S be an array of n elements on which a total order relation is defined. An inversion in S is a pair of indices i and j such that i S[j]. Describe an algorithm running in O (n log n) time for...

C-8.9 Let S be an array of n elements on which a total order relation is defined. An inversion in S is a pair of indices i and j such that i S j Describe an algorithm running in O(n log n) time for...

Let S be an array of n elements on which a total order relation is defined. An inversion in s is a pair of indices i and J such that i S1 Describe an algorithm running in O(nlogn) time for...

Hi, I need help with the following question: Let S be a sequence of N elements on which a total order relation is defined. Recall that an inversion in S is a pair of elements x and y such that x...

Let S be a sequence of n elements on which a total order relation is defined. An inversion in S is a pair of elements x and y such that x appears before y in S but x > y. Describe an algorithm...

What should be a small business owners primary concern when investing surplus cash?

A sample of concentrated nitric acid 14.5 M HNO 3 and has a density of 1.24 g/mL. Calculate the mass %, molality, and the mole fraction of HNO 3.

Longboard Inc. uses only equity capital, and it has two equally - sized divisions. Division A ' s cost of capital is 1 0 . 0 % , Division B ' s cost is 1 4 . 0 % , and the corporate ( composite )...

Technology: Using Communication Tools [LO-4] Find a free online communication service (such as a blogging platform) that you have no experience using as a content creator or contributor. Perform a...

Unstuff the following frame payload: 00011111000001111101110100111011111000001111

Compare and contrast byte-stuffing and bit-stuffing.

Assume we change the Stop-and-Wait Protocol to include a NAK (negative feedback), which is used only when a corrupted frame arrives and is discarded. Redraw Figure 11.9 to show this change. Figure...

E9-9 (Algo) Colculating Direct Labor Variances [LO 9-4] Parke Plastic, Incoxporated, mahufactures plastic mats to use whth rolling office chairs its standard cost information for last year follows....

Michael has a 25 year mortgage for $350000 with monthly payments of $3118.98. a) What is the nominal annual rate compounded monthly? After 3 years the interest rate has gone down to 6.75% (compounded...

Tyler Trucks stock has an annual return mean and standard deviation of 13 percent and 42 percent, respectively. Michael Moped Manufacturing stock has an annual return mean and standard deviation of...