Question: Consider the problem for finding the minimum n numbers. Prove that any algorithm that solves this problem by only comparing has to perform at least

Consider the problem for finding the minimum n numbers. Prove that any algorithm that solves this problem by only comparing has to perform at least n - 1 comparisons in the worst case.

I understand the Algorithm, but if you could offer the Mathematical Proof that solves this question.

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!

2.3 EXPAND Define the median of a collection of N distinct comparable elements to be an element v from that collection that is larger than exactly [N/2] (or equivalently, smaller than exactly [N/21 -...

(8) Consider the problem for finding the maximum of n numbers. Prove that any algorithm that solves this problem by only comparing, has to perform at least n - 1 comparisons in the worst case

Question 1: Consider the problem of finding both the maximum and the minimum. We will show that you can not find them both in less than (about) 3n/2 comparisons. Consider the run of any algorithm and...

8/26/2020 Q 1.13. Consider the problem of finding the sum of the first n tetrahedral numbers, or simply STH. a). Formulate the problem. b). Provide computational time complexities of the following...

2 Second largest element In this question, we consider the problem of finding the second largest element of an unsorted array A using as few comparisons as possible. We could use the algorithms...

SUS Pokemon You are a pokemon trainer and have just ordered a fresh batch of n pokemon to help you with various daily tasks. However, you know that some pokemon are liars. Your first task is to...

Question 1 (2 points) Use substitution method to prove that T (n) = 87 () + n2 = 0(n?) Hint: You can minus a lower order term if the usual mathematical induction does not work. Question 2 (4 points)...

Design an experiment to compare different algorithms for Selection problem. Consider the problem of finding kth smallest element in an unsorted list of n numbers. There are following candidate...

The Phillips Company is in the process of converting to a cost price basis its inventory taken at retail. The pertinent facts are as follows: Purchases Beginning inventory Transportation-in Ending...

What types of opinions will the SEC not accept? How does this affect the auditors reporting environment?

In an equipment replacement decision, the cost of the old equipment is a ( n )

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...

2. Why is evaluating training an important part of strategic training?

2. What might motivate employees to share their skills and knowledge on a personal profile on the companys social networking intranet portal? What kind of incentives might you provide to encourage...

3. What measures in addition to turnover and employee complaints could be used to evaluate the effectiveness of G4Ss training initiatives?