Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 11.1, Problem 4E
Program Plan Intro
To implement a direct-address dictionary on a huge array.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
Design a dynamic programming algorithm for the problem described below
Input: A list of numbers A = = [a1,..., an].
Output: A contiguous subsequence of numbers with the maximum sum.
The algorithm must take O(n) time. You must also write and explain the recurrence.
(I am looking for an i ≥ 1 and k ≥ 0 such that a + ai+1 + ···ai+k has the largest possible sum among all
possible values for i and k.)
Example 1:
Input: A[5, 15, -30, 10, -5, 40, 10].
Output: [10, 5, 40, 10]
Example 2:
Input: A = [7, 5, 7, 4, -20, 6, 9, 3, -4, -8, 4]
Output: [6,9,3]
Design a dynamic programming algorithm for the Longest Increasing Subsequence problem
described below:
Input: A sequence of n integers
Output: The length of the longest increasing subsequence among these integers.
The algorithm must take O(n²) time. You must also write and explain the recurrence.
Example 1:
Input: [5, 3, 6, 8, 4, 6, 2, 7, 9, 5]
Output: 5 ([3, 4, 6, 7, 9])
Example 2:
Input: [12, 42, 66, 73, 234, 7, 543, 16]
Output: 6 ([42, 66, 73, 234, 543])
Design a dynamic programming algorithm for the Subset Sum problem described below:
Input: A set of n integers A and an integer s
Output: A subset of A whose numbers add up to s, or that no such set exists.
The algorithm must take O(n·s) time. You must also write and explain the recurrence.
Example 1:
Input: A = {4, 7, 5, 2, 3}, s = 12
Output: {7,2,3}
Example 2:
Input: A{4, 7, 5,3}, s = 6
Output: 'no such subset'
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- TECNOLOGIE DEL WEB 2023/2023 (VER 1.1) Prof. Alfonso Pierantonio 1. Project Requirements The project consists in designing and implementing a Web application according to the methodology and the technologies illustrated and developed during the course. This document describe cross-cutting requirements the application must satisfy. The application must be realized with a combination of the following technologies: PHP MySQL HTML/CSS JavaScript, jQuery, etc templating The requirements are 2. Project size The application must have at least 18 SQL tables The number of SQL tables refers to the overall number of tables (including relation normalizations). 3. Methodology The application must be realized by adopting separation of logics, session management, and generic user management (authentication/permissions). Missing one of the above might correspond to a non sufficient score for the project. More in details: 3.1 Separation of Logics The separation of logics has to be realizse by using…arrow_forwardWrite a C program to calculate the function sin(x) or cos(x) using a Taylor series expansion around the point 0. In other words, you will program the sine or cosine function yourself, without using any existing solution. You can enter the angles in degrees or radians. The program must work for any input, e.g. -4500° or +8649°. The function will have two arguments: float sinus(float radians, float epsilon); For your own implementation, use one of the following relations (you only need to program either sine or cosine, you don't need both): Tip 1: Of course, you cannot calculate the sum of an infinite series indefinitely. You can see (if not, look in the program) that the terms keep getting smaller, so there will definitely be a situation where adding another term will not change the result in any way (see problem 1.3 – machine epsilon). However, you can end the calculation even earlier – when the result changes by less than epsilon (a pre-specified, sufficiently small number, e.g.…arrow_forwardWrite a C program that counts the number of ones (set bits) in the binary representation of a given number. Example:Input: 13 (binary 1101)Output: 3 unitsarrow_forward
- I need help to resolve or draw the diagrams. thank youarrow_forwardYou were requested to design IP addresses for the following network using the addressblock 166.118.10.0/8, connected to Internet with interface 168.118.40.17 served by the serviceprovider with router 168.118.40.1/20.a) Specify an address and net mask for each network and router interface in the table provided. b) Give the routing table at Router 1.c) How will Router 1 route the packets with destinationi) 168.118.10.5ii) 168.118.10.103iii) 168.119.10.31iii) 168.118.10.153arrow_forwardI would like to get help to draw an object relationship diagram for a typical library system.arrow_forward
- Given the network of bridges in figure, and assuming that LAN ports on A, B, C, D, E, J are 10 Mbs (cost 100 for ports) except for ports on F, G, I, H, K which are 100Mbps LANs (cost 19 for ports) Draw the obtained spanning tree, cross the blocking state ports, and circle the designated ports and write the best cost broadcasted by each router next to its root port. list in logic level detail the expected last STP messages that will define the final status at each router.arrow_forwardNext, you are going to combine everything you've learned about HTML and CSS to make a static site portfolio piece. The page should first introduce yourself. The content is up to you, but should include a variety of HTML elements, not just text. This should be followed by an online (HTML-ified) version of your CV (Resume). The following is a minimum list of requirements you should have across all your content: Both pages should start with a CSS reset (imported into your CSS, not included in your HTML) Semantic use of HTML5 sectioning elements for page structure A variety other semantic HTML elements Meaningful use of Grid, Flexbox and the Box Model as appropriate for different layout components A table An image Good use of CSS Custom Properties (variables) Non-trivial use of CSS animation Use of pseudeo elements An accessible colour palette Use of media queries The focus of this course is development, not design. However, being able to replicate a provided design for the web is…arrow_forwardI would like to get help to draw an object relationship diagram for a typical library system.arrow_forward
- https://docs.google.com/document/d/1lk0DgaWfVezagyjAEskyPoe9Ciw3J2XUH_HQfnWSmwU/edit?usp=sharing using the link for the case study answer the below questionarrow_forwardFinally, your going to write several small javascript functions to practice with javascript core programming (basically just using javascript as a normal scripting language). For each section you can hardcode input values, and all output should go to console (we'll worry about the actual web page on Assignment 4). You can complete these all in one HTML file, or create one file for each part.arrow_forwardWrite a C program to calculate the checksum for a given line of an IntelHex file. To get full points, you must be able to explain to the instructor the individual parts of the IntelHex line (see below), as well as any part of your code. Definition:The checksum is calculated as the two's complement of the sum of the individual bytes from the beginning of the line to the checksum. Example:If you enter this string: :10010000214601360121470136007EFE09D21901XX You should get a checksum of 40 instead of XX. Demonstrate the completion of the task by calculating checksums, for example, for the following strings: :100010000C9445000C9445000C9445000C944500xx:100020000C9445000C9445000C9445000C944500xx:100030000C9445000C9445000C9445000C944500xx:100040000C9445000C9445000C9445000C944500xxarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Systems ArchitectureComputer ScienceISBN:9781305080195Author:Stephen D. BurdPublisher:Cengage Learning
New Perspectives on HTML5, CSS3, and JavaScriptComputer ScienceISBN:9781305503922Author:Patrick M. CareyPublisher:Cengage Learning
C++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr
C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage Learning
Microsoft Visual C#Computer ScienceISBN:9781337102100Author:Joyce, Farrell.Publisher:Cengage Learning,
EBK JAVA PROGRAMMINGComputer ScienceISBN:9781337671385Author:FARRELLPublisher:CENGAGE LEARNING - CONSIGNMENT
Systems Architecture
Computer Science
ISBN:9781305080195
Author:Stephen D. Burd
Publisher:Cengage Learning
New Perspectives on HTML5, CSS3, and JavaScript
Computer Science
ISBN:9781305503922
Author:Patrick M. Carey
Publisher:Cengage Learning
C++ for Engineers and Scientists
Computer Science
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Course Technology Ptr
C++ Programming: From Problem Analysis to Program...
Computer Science
ISBN:9781337102087
Author:D. S. Malik
Publisher:Cengage Learning
Microsoft Visual C#
Computer Science
ISBN:9781337102100
Author:Joyce, Farrell.
Publisher:Cengage Learning,
EBK JAVA PROGRAMMING
Computer Science
ISBN:9781337671385
Author:FARRELL
Publisher:CENGAGE LEARNING - CONSIGNMENT