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 16.1, Problem 3E
Program Plan Intro
To show that the approach of selecting the activity of least duration from among the activities compatible with previously selected activities doesnot work.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
We can implement requests to the waiter as either a queue of requests or as a periodic retry of a request. With a queue, requests are handled in the order they are received. Th e problem with using the queue is that we may not always be able to service the philosopher whose request is at the head of the queue (due to the unavailability of resources). Describe a scenario with 5 philosophers where a queue is provided, but service is not granted even though there are forks available for another philosopher (whose request is deeper in the queue) to eat.If we implement requests to the waiter by periodically repeating our request until the resources become available, will this solve the problem described in the above Exercise? Explain.
Correct answer will be upvoted else downvoted. Computer science.
You are permitted to alter the marks through the accompanying activity:
Pick two particular integers I and j among 1 and n.
Trade the marks of focuses I and j, lastly
Draw the section between focuses I and j.
A grouping of tasks is legitimate if in the wake of applying every one of the activities in the succession all together, the k-th point winds up having the name k for all k among 1 and n comprehensive, and the drawn sections don't meet each other inside. Officially, assuming two of the portions cross, they should do as such at a typical endpoint of the two sections.
Specifically, all drawn portions should be unmistakable.
Track down any legitimate arrangement of activities, or say that none exist.
Input
The main line contains an integer n (3≤n≤2000) — the number of focuses.
The I-th of the accompanying n lines contains three integers xi, yi, man-made intelligence (−106≤xi,yi≤106,…
Correct answer will be upvoted else downvoted. Computer science.
Child Ehab has a piece of Cut and Stick with an exhibit an of length n composed on it. He intends to snatch some scissors and do the accompanying to it:
pick a reach (l,r) and cut out each component al, al+1, ..., ar in this reach;
stick a portion of the components together in a similar request they were in the exhibit;
end up with different pieces, where each piece contains a portion of the components and each component has a place with some piece.
All the more officially, he segments the arrangement al, al+1, ..., ar into aftereffects. He thinks a dividing is lovely if for each piece (aftereffect) it holds that, assuming it has length x, no worth happens rigorously more than ⌈x2⌉ times in it.
He didn't pick a reach yet, so he's pondering: for q ranges (l,r), what is the base number of pieces he really wants to parcel the components al, al+1, ..., ar into with the goal that the dividing is delightful.…
Chapter 16 Solutions
Introduction to Algorithms
Ch. 16.1 - Prob. 1ECh. 16.1 - Prob. 2ECh. 16.1 - Prob. 3ECh. 16.1 - Prob. 4ECh. 16.1 - Prob. 5ECh. 16.2 - Prob. 1ECh. 16.2 - Prob. 2ECh. 16.2 - Prob. 3ECh. 16.2 - Prob. 4ECh. 16.2 - Prob. 5E
Ch. 16.2 - Prob. 6ECh. 16.2 - Prob. 7ECh. 16.3 - Prob. 1ECh. 16.3 - Prob. 2ECh. 16.3 - Prob. 3ECh. 16.3 - Prob. 4ECh. 16.3 - Prob. 5ECh. 16.3 - Prob. 6ECh. 16.3 - Prob. 7ECh. 16.3 - Prob. 8ECh. 16.3 - Prob. 9ECh. 16.4 - Prob. 1ECh. 16.4 - Prob. 2ECh. 16.4 - Prob. 3ECh. 16.4 - Prob. 4ECh. 16.4 - Prob. 5ECh. 16.5 - Prob. 1ECh. 16.5 - Prob. 2ECh. 16 - Prob. 1PCh. 16 - Prob. 2PCh. 16 - Prob. 3PCh. 16 - Prob. 4PCh. 16 - Prob. 5P
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
- Correct answer will be upvoted else downvoted. There are n focuses on an endless plane. The I-th point has facilitates (xi,yi) to such an extent that xi>0 and yi>0. The directions are not really integer. In one maneuver you play out the accompanying activities: pick two focuses an and b (a≠b); move point a from (xa,ya) to either (xa+1,ya) or (xa,ya+1); move point b from (xb,yb) to either (xb+1,yb) or (xb,yb+1); eliminate focuses an and b. Notwithstanding, the move must be performed if there exists a line that goes through the new organizes of, another directions of b and (0,0). If not, the move can't be performed and the focuses stay at their unique directions (xa,ya) and (xb,yb), individually. Input The main line contains a solitary integer n (1≤n≤2⋅105) — the number of focuses. The I-th of the following n lines contains four integers ai,bi,ci,di (1≤ai,bi,ci,di≤109). The directions of the I-th point are xi=aibi and yi=cidi. Output :In the primary…arrow_forwardSince the late 1990s, machine learning (ML) has been applied to automate the process of building models for detecting malware and attacks. The benefit of machine learning is its ability to generalize over a population of samples. Which of the following is an example of machine learning? After providing an ML algorithm samples of different malware families for 'training', the resultant model can classify new, unseen malware as belonging to one of those families Instructions, control flow graphs, and call graphs system call sequences and other statistics (e.g., frequency and existence of system calls), system call parameters, data flow graphs & network payload features Both B and C are examples of machine learningarrow_forwardIn deep learning models, the activation function refers to a function in an artificial neuron (node) that delivers an output based on inputs. Activation functions in artificial neurons (nodes) are an important part of the role that the artificial neurons (nodes) play in modern artificial neural networks. One of the most popular activation functions for regression tasks is the rectified linear unit, or ReLU. Mathematically, the ReLU is defined as: х, x >0 0, x<0 Write a function called relu(x) that will perform the ReLU activation function on a given vector x. The function should return the output of the activation function. If X = -4:1:3, what is relu(X)?arrow_forward
- In the context of evolutionary computing the goal function is known as the fitnessfunction and the problem is to maximize it. The typical formulation has to be changedin a simple way.min f (x) = − max[− f (x)] (4.9)Another requirement is that the goal function is positive.Phenotype evolution treats x as a phenotype and the goal function as the fitnessfunction. The typical framework for the method is as follows:arrow_forwardThe Harvard robotics club has organized a Robothon. n robots are placed alongthe edge of a circular area at the middle of the OAT(open air theatre). Each robot will move along arbitrary tracksinside the circle while leaving behind a heat signature along its trail. However, they have beenprogrammed not to cross their own trail or the trail of another robot, neither will they ever moveout of the circle. In case a pair of robots i and j meet at any point, they are removed from the sceneand the club will pay a reward sum of M[i, j] to the owners of these robots. Note that some robotscan keep moving infinitely without ever meeting another one. Given the reward matrix M whereM[i, j] = M[j, i], design a polynomial time algorithm that determines the maximum money theclub might potentially end up spending. For this particular problem, give a very brief justificationof the recurrence. Give pseudo-code for a dynamic program which solves the recurrence efficiently Youdo not need to prove…arrow_forwardNeed a implementation plan for this : Our aim is to take increase toy paratrooper flight time with the parachutes provided and find suitable alternatives to reduce its descent through the most feasible means. The justification for increased flight time being if we were to take these model paratroopers to represent actual paratroopers' lower descent speeds will provide safer landings and more maneuverable descents. We learned through observation that our paratrooper's initial descent is practically freefall and extremely erratic which gives us our main point of optimization. Our only variables which we can alter are wind resistance provided by said parachute, elevation, conditions(temperature) within a margin, and weight. We will make alterations where it is possible to reach our goal of a practical lower descent speed and thereby an increase in descent time and more stable, safe flight for our toy paratroopers.arrow_forward
- Explain the difference between Machine Dependent and In-Dependent Optimization by examining the Replacement Rules. Discuss the Operator Strength Reduction as well.arrow_forwardState the Difference between the Machine Dependent and In-Dependent Optimization, bydiscussing the Rules that are adopt for the Replacement. And also discuss the Operator StrengthReduction.arrow_forwardAppendix A 10-Fold Cross Validation for Parameter Selection Cross Validation is the standard method for evaluation in empirical machine learning. It can also be used for parameter selection if we make sure to use the training set only. To select parameter A of algorithm A(X) over an enumerated range d E [A1,..., A] using dataset D, we do the following: 1. Split the data D into 10 disjoint folds. 2. For each value of A e (A1,..., Ar]: (a) For i = 1 to 10 Train A(A) on all folds but ith fold Test on ith fold and record the error on fold i (b) Compute the average performance of A on the 10 folds. 3. Pick the value of A with the best average performance Now, in the above, D only includes the training data and the parameter A is chosen without the knowledge of the test data. We then re-train on the entire train set D using the chosen A and evaluate the result on the test set.arrow_forward
- Explore the bakery algorithm for the N-process critical problem. Explain all the conditions for good solution to a critical section problem against the bakery algorithm. Your explanation needs to have a proper scenario you can discuss the scenarios either diagrammatically or descriptively.arrow_forwardImplement an algorithmic solution, indicating which states are valid and which are not, and model the space of the following problem: An interest group from a small town decided to sue a company for commercial abuse. For this, the people have organized themselves and decided to send 3 representatives, who will have to travel in a Van to the city where the lawsuit will be filed. The company to be sued, upon learning of these actions, has decided to send 3 lawyers to persuade the representatives, who will also travel in the same Van for that purpose. The community must file the class action suit under these conditions: - The three applicants must reach the destination city; - Only two people can travel per trip in the Van (small town - city, city - small town); - There can never be more lawyers than plaintiffs in any one place (either in the small town or city) because the lawyers can persuade the plaintiffs and as a consequence, the lawsuit would not be made; - The Van cannot be…arrow_forwardYou are organizing a conference that has received n submitted papers. Your goal is to get people to review as many of them as possible. To do this, you have enlisted the help of k reviewers. Each reviewer i has a cost sij for writing a review for paper j. The strategy of each reviewer i is to select a subset of papers to write a review for. They can select any subset S; C {1,2, ..., n}, as long as the total cost to write all reviews is less than T (the time before the deadline): 2 Sij 1. (b) Show that for B = 2 this fraction is close to 1/3. [Hint: You can consider an instance with 3n + 1 papers and only n will be reviewed.]arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education