Question: In C please 2.1 Design a brute force algorithm to solve the convex-hull problem and analyze its efficiency. 2.2 Design a recursive divide-and-conquer algorithm of

In C please

2.1 Design a brute force algorithm to solve the convex-hull problem and analyze its efficiency.

2.2 Design a recursive divide-and-conquer algorithm of (n log n) to solve the convex-hull problem, set up a recurrence to analyze the number of executions of the basic operation of the best case, and determine the efficiency class. Use the Master Theorem to verify the efficiency class in your analysis result.

2.3 Implement the two algorithms and test them using data 2.txt, which includes 30,000 points (pairs of x-y coordinates). Your programs are required to display the number of points on the convex hull and their x-y coordinates (sorted by their x coordinates). Your programs are also required to display execution time. Compare the differences in execution time and theoretical analysis.

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!

2. (60%) S is a set of points in a 2-dimensional plane. The convex hull of set S is the smallest convex set containing S. (Please find more about the convex hull problem, especially the definition of...

2. (60%) The convex hull of a set of S is the smallest convex set containing S. (Please find more about the convex hull problem, especially the definition of extreme point, on pages 109-113 in the...

Finding Shortest Path Around Let S be a set of points in a 2-dimensional plane. The convex hull of set S is the smallest convex set containing S. (Please find more about the convex hull problem,...

The following algorithm examines all the components in a given array to check whether there are any two consecutive numbers (even if they are not adjacent) or not. For example 1: input:...

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

The following algorithm examines all the components in a given array to check for the existence of any two numbers, where one of them is the square of the other, in the given array or not. For...

Question 2: (35 Marks) Suppose you have a set of n lectures that need to be scheduled in classrooms. Each lecture has fixed starting and ending times. You would like to use as few classrooms as...

Consider a multi-aspect key rate model with key rates being YTM on 2, five, 10, and 30-yr par ponds. Assume also that currently YTM on 2, 5, 10, and 30-12 months bonds are four%, five%, 6%, and...

Given an integer array A and an integer k , we want to find all pairs of elements in the array that add up to k . For each pair found, print the two numbers. If it is not possible to find any such...

Listed below are several terms and phrases associated with leases. Pair each item from List A with the item from List B (by letter) that is most appropriately associated withit. List A List B --1....

Suppose Firm D is currently financed by $30 M in equity and $25 M in debt. The company also has excess cash of $5 M. The cost of equity is 10%, the cost of debt is 6%, and the tax rate is 20%. You...

subtract cash flow from assets from the cash flow to stockholders. the result should be your net income

Weismann Co. issued 7-year bonds a year ago at a coupon rate of 9 percent. The bonds make semiannual payments and have a par value of $1,000. If the YTM on these bonds is 8 percent, what is the...

Ethics.Technology. A health spa used the term micro color in marketing campaigns to refer to permanent cosmetic makeup. A beauty supply company claimed the right to the term and said it was...

Ethics. Technology. Peter Drucker states that there is no such thing as Business Ethics, there is only ethics.Collaborate with another classmate to write a reaction paragraph to this statement....

Ethics. Technology. Evaluate this statement using the Texas Instruments Ethics Quick Test and the Code of Conduct from Figure 3.5: It is better to steal from the stockholders of a company than the...