Derive the time complexity of your algorithm

Assignment Help Basic Computer Science

Reference no: EM132676064

Question 1. There are n marble balls, one of which is made of a different material. You have access to a Comparator that can compare two inputs (of an arbitrary number of marble balls) and determine if the two inputs are the same or not. The problem is to find the single marble ball that is different from the others while minimizing the number of times you access the Comparator. Design an efficient algorithm based on prune-and-search to solve the problem. Derive the time complexity of your algorithm.

Question 2. Show how to maintain a dynamic set Q of numbers that supports the operation MIN-GAP, which gives the magnitude of the difference of the two closest numbers in Q. For example, if Q ={1, 5, 9, 15, 18, 22}, then MIN-GAP.Q/ returns 18 - 15 = 3, since 15 and 18 are the two closest numbers in Q. Make the operations INSERT, DELETE, SEARCH, and MIN-GAP as efficient as possible, and analyze their running times.

Reference no: EM132676064

Questions Cloud

Define why you are interested in researching that topic : The introduction to your project should be at least one paragraph and should introduce the readers to the topic that you have chosen and why you are interested.

Calculate the amount of goodwill that will appear : Calculate the amount of goodwill that will appear in the consolidated financial statements prepared immediately after the acquisition by Popeye Inc

Who is your customer in organization : Who is your customer in this organization, internal or external, and how do you serve your customers' needs as an Intern/Employee?

Explain the motivation and job satisfaction theories : The purpose of this assignment is to apply the motivation and job satisfaction theories to a specific situation. Describe the theories and key assumptions.

Derive the time complexity of your algorithm : There are n marble balls, one of which is made of a different material. Derive the time complexity of your algorithm.

Make the debit-credit analysis for each transaction : Prepare the debit-credit analysis for each transaction. 6 Sells a house and lot for R. Craig; bills R. Craig $6,080 for realty services performed.

Saudi league player database : Assume that you have a Saudi league player database. Would you represent the agent information as attributes in the player table

Find wachowski industries would be showing : What wachowski industries would be showing.n October 31, before wachowski industries prepared their month end adjusting entries

Determine which hr job positions you would prefer : Determine which HR job positions you would prefer and explain why. Analyze how the selected company can establish HRM strategies to improve competitive.

User Account

All Pages