Describe an efficient algorithm that, given a set x 1, x 2, . . . ,x n

Question:

Describe an efficient algorithm that, given a set 〈x_1, x_{2, . . .} ,x_n〉 of points on the real line, determines the smallest set of unit-length closed intervals that contains all of the given points. Argue that your algorithm is correct.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For answer-question

Introduction to Algorithms

ISBN: 978-0262033848

3rd edition

Authors: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest

See More Books

Question Posted: Feb 25, 2020 08:36 AM

See More Questions

Describe an efficient algorithm that, given an interval i, returns an interval overlapping i that has the minimum low endpoint, or nil [T] if no such interval exists.
Consider a sorting problem in which we do not know the numbers exactly. Instead, for each number, we know an interval on the real line to which it belongs. That is, we are given n closed intervals of...
Describe an O(n)-time algorithm that, given a set S of n distinct numbers and a positive integer k n, determines the k numbers in S that are closest to the median of S.
Use the Chain Rule to calculate the partial derivatives. Express the answer in terms of the independent variables. dh t -; h(x, y) = X x = tt, y = tt " y
Classify each reaction as an oxidation, a reduction, or nether. (a) CH3 - CH2OH (b) (c) (d) (e) (f) g) (h) (i) (j) (k) (l) CrOs pyridine CH H2CrO4 CH3CH -- CH3 H3C CH3 CH3---CH3 LiAIH TiCI...
What are the requirements for a successful hub city?
What would happen to the SML graph in Figure 8.8 if expected inflation increased or decreased? Figure 8.8 268 269 270 271 272 273 274 275 A Required Rate of Return TH-13.0% SML: r, RF+RPM * b D E F H...
Air pollution control specialists in southern California monitor the amount of ozone, carbon dioxide, and nitrogen dioxide in the air on an hourly basis. The hourly time series data exhibit...
3. A 200 kg roller coaster starts from rest at the top of the first hill at a height of 20 m above the ground. The second hill is 15 m above the ground. a. A physics student in line for the ride...
Lafayette Film Center (LFC) is a not-for-profit theater that plays independent films. In addition to revenue from theater admissions, LFC relies on concession and caf sales, grants and other external...
Show how to transform the weight function of a weighted matroid problem, where the desired optimal solution is a minimum-weight maximal independent subset, to make it a standard weighted-matroid...
Prove that if we order the characters in an alphabet so that their frequencies are monotonically decreasing, then there exists an optimal code whose codeword lengths are monotonically increasing.
Assume that an assembly line produces three products, A, B, and C (see Figure 42-A). The available operating time per shift is 480 minutes. The cell operates two shifts per day. The average daily...
Extract an income statement for the year ending 30 June 2024 for G. Graham. The trial balance as at 30 June 2024 after his first year of trading was as follows: Inventory at 30 June 2024 was 29,304....
Find the middle element in a singly linked list. Tell the complexity of your solution. First solution: Find the length of linked list. Then find the middle element and return it. Second solution: Use...
Explain the increased popularity of continuous improvements and work process engineering in the past twenty years.
Why is strategic audit recommended in case study analysis for students?
For an organization that you know well, what changes will it have to face up to in the near future? What is the organization's capacity for change and how would you recommend it approaches the...
Blue Cab operates 15% of the taxis in a certain city, and Green Cab operates the other 85%. After a nighttime hit-and-run accident involving a taxi, an eyewitness said the vehicle was blue. Suppose,...
The relationship described in question 7 does not always appear to hold. What factors, besides the number of firms in the market, might affect margins?
Describe an external-memory data structure to implement the queue ADT so that the total number of disk transfers needed to process a sequence of k enqueue and dequeue operations is O(k/B).
For what values of d is the tree T of the previous exercise an order-d B-tree?
Suppose T is a multiway tree in which each internal node has at least five and at most eight children. For what values of a and b is T a valid (a,b) tree?
Write the Decomposition for this problem. Also include a listing of inputs and outputs. Finally, list the condition of when the loop will end and how you will determine what prints out to the user....
Insurance business operations are in two components, i.e. technical business and non-technical business. Briefly explain these two components and define the technical risk to which the insurance...
1 3 If f(x) = - 4x + 12x - 5 and the domain is the set of all x such that 0 x 9, then the absolute maximum value of the function f occurs when x is

Describe an efficient algorithm that, given a set x 1, x 2, . . . ,x n

Question:

Step by Step Answer:

Consider the leftmost interval It will do no good if ...View the full answer

Introduction to Algorithms

Students also viewed these Computer science questions