Question: how that the running time of the merge-sort algorithm on an n-element sequence is O(n log n), even when n is not a power of

how that the running time of the merge-sort algorithm on an n-element sequence is O(n log n), even when n is not a power of 2.

Step by Step Solution

★★★★★

3.24 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

In divide and conquer approach we divide the problem into sub p... 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

Students Have Also Explored These Related Data Structures Algorithms Questions!

Q:

Show that the running time of themerge-sort algorithmon an n-element sequence is O(nlogn), even when n is not a power of 2.

Q:

Show that the worst-case running time of quick-select on an n-element sequence is (n 2 ).

Q:

Show that the worst-case running time of quick-select on an n-element sequence is (n 2 ).

Q:

Give a complete justification of Proposition 11.1. Data from in Proposition 11.1 The merge-sort tree associated with an execution of mergesort on a sequence of size n has height log n. We leave the...

Q:

What is the worst-case running time for the mergesort algorithm, for an unsorted list of items? 0 0(N log N) O oN2) O O(log N) 0 0(N)

Q:

/Identify which one of the following statement is incorrect /2 marks a. The mergesort is a comparison-based algorithm @//b b. The merge sort recursion tree, a mergrsort tree associated with an...

Q:

(3 points) Given a strict turnstile stream where every value is an integer in (1, N). Modify the count- sketch algorithm to report the elements such that (1) All elements that occur more than F1/3...

Q:

2. (3 points) Given a strict turnstile stream where every value is an integer in (1,N). Modify the count- sketch algorithm to report the elements such that (1) All elements that occur more than F1/3...

Q:

QUESTION 1: [10 POINTS] Choose the correct answer from the following: 1. In the merge step of Merge sort of N elements what is the running time cost of that step? a. 0(1) b. O(log N) C. O(N) d. O(N...

Q:

PLEASE NOTE THAT THIS ASSIGNMENT IS 4 PAGES AND WITH A TOTAL OF 40 POINTS. QUESTION 1: [10 POINTS] Choose the correct answer from the following: 1. In the merge step of Merge sort of N elements what...

Q:

What is the base sequence in the original DNA strand on which the mRNA sequence in Problem 28.9 was made? CUU-AUG-GCU-UGG-CCC-UAA

Q:

The scene where Peter Falk wanders through the on-set extras in search of 'humanity' foreshadows the reveal of his character's secret. O True O False

Q:

A firm purchased an asset three years ago at a cost of $135,000 and sold it today for $90,500. The equipment is 5-year property for MACRS. The MACRS table values are .2000, .3200, .1920, .1152,...

Q:

5. For 2010, Roberta is a self-employed truck driver with earnings of $43,000 from her business. During the year, Roberta received $2,500 in interest income and dividends of $500. She also sold...

Q:

For the following statements about red-black trees, provide a justification for each true statement and a counterexample for each false one. a. A subtree of a red-black tree is itself a red-black...

Q:

Draw an example of a red-black tree that is not an AVL tree.

Q:

Explain why you would get the same output in an inorder listing of the entries in a binary search tree, T, independent of whether T is maintained to be an AVL tree, splay tree, or red-black tree.

Q:

Which of the answer choices below has the highest present value? (Note: You do not need a specific discount rate to answer this question. Think about it.) $12,000 to be received 4 years from now...

Q:

Lou Barlow, a divisional manager for Sage Company, has an opportunity to manufacture and sell one of two new products for a five-year period. His annual pay raises are determined by his divisions...

Q:

Question content area top Part 1 Which of the following bonds is trading at a premium? a . a 1 5 minusyear bond with a $ 1 0 , 0 0 0 face value whose yield to maturity is 8 . 0 % and coupon rate is 7...