Question: Show that the two smallest elements among N can be found in N + [logN] 2 comparisons.

Show that the two smallest elements among N can be found in N + [logN] − 2 comparisons.

Step by Step Solution

★★★★★

3.42 Rating (165 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

First we will find the smallest element and then the second smallest Create a binary tree based on t... View full answer

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

Document Format (1 attachment)

Word file Icon

1486-C-S-A(434).docx

120 KBs Word File

Students Have Also Explored These Related Algorithms Questions!

Q:

In this problem, we use indicator random variables to analyze the RANDOMIZED SELECT procedure in a manner akin to our analysis of RANDOMIZED-QUICKSORT in Section 7.4.2. As in the quicksort analysis,...

Q:

Show that the second smallest of n elements can be found with n + lg n - 2 comparisons in the worst case.

Q:

Show that, with n relations, there are (2(n 1))! / (n1)! Different join orders. If you wish, you can derive the formula for the number of complete binary trees with n nodes from the formula for the...

Q:

Show that the second smallest of n elements can be found with n + logn - 2 comparisons in the worst case (hint: find the smallest elements in terms of comparisons then think of decision tree)

Q:

in algorithm analysis textbook.) Q4. (Exercise 9.1-1 in textbook) Show that the second smallest of n elements can be found with n lg n 1-2 comparisons in the worst case. (Hint: Also find the smallest...

Q:

Always show your work, no final answer is accepted without explanation. Q 1 : Show that the second smallest of n elements can be found with n + | ~ l g n ~ | - 2 comparisons in the worst case. (...

Q:

(a) CLRS 9.1-1 Show that the second smallest of n elements can be found with n + dlg ne 2 comparisons in the worst case. (Hint: Also find the smallest element.) (b) CLRS 9.3-9 Professor Olay is...

Q:

Q4. (Exercise 9.1-1 in textbook) Show that the second smallest of n elements can be found with n lg n- 2 comparisons in the worst case. (Hint: Also find the smallest element.)

Q:

Problem 8 Show that the second smallest of n elements can be found with n + ign] 2 comparisons in the worst case. (Hint: Also find the smallest element.)

Q:

Show that the second smallest of n elements can be found with n + lgn 2 comparisons in the worst case. (Hint: Also find the smallest element.)

Q:

2-5 You have the following data: 8. %3D 14 10 11 9. 8. 9. 5 12 7 8 4 17 8. 12 7. 8. 8. 7 10 9. 11 16 2. 8 4. 4 6. 7 7. 5 4. 14 1. 12 a. Construct a frequency distribution for these data. Use the 2 n...

Q:

Imagine an economy with the consumption function C = $100 + 0.90Y. Now consider four scenarios of intended investment: (1) I i = $100, (2) I i = $150, (3) I i = 250, and (4) I i = 350. Calculate the...

Q:

Which of the following statements are correct? (i) Assets increase on the credit side and decrease on the debit side. (ii) Liabilities increase on the credit side and decrease on the debit side....

Q:

5. The following are the various demand and supply schedules for pizza. Lets start by assuming that the demand and supply on the pizza market are D2 and S2. (a) What is the equilibrium price and...

Q:

a. Suppose that m is a constant. Describe an O (n)-time algorithm that, given an integer n, outputs the (n, m)-Josephus permutation. b. Suppose that m is not a constant. Describe an O (n lg n)-time...

Q:

The Euclidean traveling-salesman problem is the problem of determining the shortest closed tour that connects a given set of n points in the plane. Figure 15.9(a) shows the solution to a 7- point...

Q:

Although merge sort runs in (n lg n) worst-case time and insertion sort runs in (n2) worst-case time, the constant factors in insertion sort make it faster for small n. Thus, it makes sense to use...

Q:

Luther Industries has a dividond yield of 5% and a cost of equity capital of 10%. Luther Industries dividends are expected to grow at a constant rate indefinitely. The growth rate of Luther's...

Q:

a) why is the sampling distribution approximately normal? b) what is the mean of the sampling diatribution? c) what is the standard deviation of the sampling distribution? d) Assuming that the...

Q:

Free Cash Inc.'s cost of capital is estimated to be 9 percent. The free cash flows to the firm (FCFF) is estimated to be S4:750r S7:000: and S9:750 in each of the next three years. Free cash flows...