Question: Design an algorithm to find both the largest and the smallest elements in a list with n elements such that at most 2n-3 comparisons

Design an algorithm to find both the largest and the smallest elements in a list with n elements such that at most 2n-3 comparisons are needed. You may assume that n is a power of 2. I (i) Determine the exact number of comparisons of your algorithm. (ii) How does the number of comparisons change, if n is not a power of 2?

Step by Step Solution

★★★★★

3.38 Rating (154 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find both the largest and smallest elements in a list of n elements with at most 2n3 comparisons ... 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 Programming Questions!

Discuss at least two reasons for the popularity of international money markets A US company issues 180 Euro-commercial paper with a face value of $1000,000, yielding at 5.75%P.a. Calculate the price...

What would be the gains from additional supply made available (at the same price) from each of the growers? How much of a premium would you be willing to pay for each additional box and how many...

In perfect competition, what is the shape of the demand curve facing a single firm? A ) Downward sloping B ) Upward sloping C ) Horizontal D ) Vertical

Examine Treas. Reg. 1.183-2. What Code section and language within that Code section does the Treasury Regulation interpret? What does the Treasury Regulation state are the nine relevant factors?

Why is each of the following incorrect? State the correct proposition. a. Marginal revenue product is calculated as total revenue earned per worker. b. Distribution theory is simple. You simply...

How strong is the correlation between the inflation rate and 30-year treasury yields? The following data published by Fuji Securities are given as pairs of inflation rates and treasury yields for...

How might individual differences (e.g. personality characteristics, coping strategies) moderate (i.e. strengthen or weaken) the effects of (i) work- and family-related antecedents on workfamily...

Suppose that you are the analyst charged with developing a new system to help senior managers make better strategic decisions. What requirements gathering techniques will you use? Describe in detail...

The information is written to both the block in the cache and to the block in the lower - level memory. write - through write allocate write - back store allocate store through

The information listed below refers to the employees of Lemonica Company for the year ended December 31, 2018. The wages are separated into the quarters in which they were paid to the individual...

Overhead was estimated to be $200,000 for the year along with 20,000 direct labour hours. Actual overhead was $215,000, actual labour hours were 21,000. The predetermined overhead rate would be...

Lucky Lady Inc.: Preparing comprehensive statement of cash flows (LO 20-1, LO 20-2, LO 20-3, LO 20-4) The income statement for the year ended December 31, 20X1, as well as the balance sheets as of...

TASK C: TECHNIQUES TO MANAGE TEAM HEALTH AND WELLBEING CASE SCENARIO: MATRIX HOMES A building and construction company called Matrix Homes is a medium sized business with 92 workers. The workforce...

XYZ Corp. has prepared the following budget information for the second quarter: Various Operating Budget Information April May June Sales Forecast ( units of finished goods) 13,000 units 19,500 units...

Yukon territorial government entered into an agreement with HEMI to open a warehouse in Whitehorse . The agreement required the Yukon territorial government to prepay $10, 000 ,000 for future...

By recognizing the series 1+ 12n +. + +as 3! n! 12 144 1728 + + 1! 2! a Taylor series evaluated at a particular value of x, find the sum of the series. NOTE: Enter the exact answer or round to three...

An income statement for Sam's Bookstore for the first quarter of the year is presented below: Sam's Bookstore Income Statement For Quarter Ended March 31 Sales Cost of goods sold Gross margin Selling...

On 1 July 2018, Parent Ltd acquired all the shares of Son Ltd, on a cum-div. basis, for $2,057,000. At this date, the equity of Son Ltd consisted of: $ 1,000,000 Share capital 500 000 shares...

Given use the algebra of functions to find the following: (a) (f + h)(a) Substituting a for each occurrence of x, 3.x f(x): = x-4 g(x) = x+6 x+5 h(x) = x+1 x-2 (x -5,-1, 2)

Parameters and other expressions can also be substituted into functions as the independent variable. Evaluate the following functions at the given values of x by substituting the various parameters...

In the graphs in Fig. 3-6, where y replaces f(x) as the dependent variable in functions, as is common in graphing, indicate which graphs are graphs of functions and which are not. From the definition...