Question: You are given k sorted lists L1, L2, . . . , Lk of numbers. Let n denote the total length of all these lists.

You are given k sorted lists L1, L2, . . . , Lk of numbers. Let n denote the total length of all these lists. Describe an algorithm that returns one list containing all these n numbers in sorted order. The running time of your algorithm must be O(n log k). Explain why your algorithm is correct and why the running time is O(n log k). Hint: If k = 2, this should look familiar.

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!

Question 2: You are given k sorted lists L1,L2,,Lk of numbers. Let n denote the total length of all these lists. Describe an algorithm that returns one list containing all these n numbers in sorted...

Use maximum-flow to describe a polynomial-time algorithm that implements the scheduling system!!! Describe the algorithm. Analyze the RT in terms of n and k. We have the following scheduling problem....

We have the following scheduling problem. For each of the next n days, the hospital has determined the number of doctors they want on hand; thus, on day i, they have a requirement that exactly pi...

Combining lists. For this problem, assume the list ADTs are implemented using doubly linked lists. a. Let L and L 0 be two list ADTs. Each one contains distinct numbers sorted in increasing order. We...

will give thumbs up, thanks! Data Structure Design 10. For some positive integer k, design a data structure that supports the following two operations: Insert(x), which inserts a new item x into the...

Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...

Provide an appropriate query to show that the above program can give an incorrect result. [4 marks] (b) Explain the cause of the error. [6 marks] (c) Suggest a correction. [5 marks] (d) Write a...

Let A, B be sets. Define: (a) the Cartesian product (A B) (b) the set of relations R between A and B (c) the identity relation A on the set A [3 marks] Suppose S, T are relations between A and B, and...

\ problem [ Search and insertion through multiple sorted arrays ] { 5 + 2 + 4 + 4 } If we are given a sorted array with $n$ elements, it is straightforward to search for an element in $O ( \ log n )...

The following organometallic compounds are stable and have a second row transition metal at their centre. Find out the metal and its formal oxidation state. Ph CF3 Ph-PMPCys AR HA Ph Ph OC CO OC D A B

Who produces capital, wages and profits from a political economy perspective and how does the control of the surplus ( capital flight and strike, campaign contributions, media and philanthropy)...

Which of the following will not be a relevant cost? Group of answer choices Variable cost fixed cost that can be eliminated Sunk cost Opportunity cost

Which of the following are problems with identifying users of ABC? Multiple select question. ABC means different things to different organizations. Organizations will announce the discontinuance of...

Teamwork. As directed by your instructor, meet in a small group to discuss the following questions. (Objective 2) a. How do you feel when a teacher, manager, colleague, or service representative...

Technology. During the next conversation you have with a coworker, a family member, or someone not from this class, use paraphrasing at least once. E-mail your instructor to describe the effect...

Discuss five ways nonverbal messages could be presented in a positive manner when interviewing for a supervisory position in a business organization.