Find operations can be expensive, but thisexpensive find operation is balanced out by lots of cheap union operations?
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- As a teaching administrator of the department, your responsibility is to schedule the classes for a particular classroom. Suppose there are n classes, each class i is represented by its start time and finishing time [Si, fi], and we say that two classes i and j are non-conflicting if they do not overlap in time (i.e., sizfj or szfi). You want to schedule as many classes for the classroom as possible, but the scheduled classes should be non-conflicting. Develop an algorithm so that you can select the maximum number of classes for the classroom. (We are expecting either pseudocode or language description of your algorithm)Develop a client that takes an int value N from the command line and does an amortized plot of the cost of all operations in the style of the plots in the text for the process of generating random pairs of integers between 0 and N-1, calling connected() to determine if they are connected and then union() if not (as in our development client), looping until all sites are connected.Create a weighted quick union implementation that does not require the number of items in advance using linked lists or a resizing array. Add the newSite() method, which returns an int identification, to the API.You 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.]
- Modify the reader-writer lock example to help waiting writers. When the number of current readers exceeds R, then block readers until the lock becomes free. Modify the appropriate functions. Do NOT worry about ANY errors. lock L; condition CV; // 0 unheld; -1 writer has it;> 0 readers have it int num readers = 0; int R; } acquire_rlock () { lock (&L); while (num_readers < 0) wait (&CV, &L); num_readers++; unlock (&L); release () { lock (&L); num_readers unlock (&L); if (num_readers num readers = 0; } else num_readers--; if (num_readers acquire_wlock () { // this does not change! lock (&L); while (num readers != 0) wait (&CV, &L); -1; } unlock (&L); == == -1) 0) { broadcast (&CV, &L);All businesses want to keep their customers happy. To do that, many companies assign a certain amount of time to each customer to optimize the business. The alternative would be to hire more employees, which would lead to higher costs. This problem requires you to simulate how authorities optimize the number of cashiers at the entrance of a toll bridge to make sure drivers are satisfied. Make the following assumptions: There is one cashier per line. The line works as a queue with no cars cutting the line or leaving it. One car arrives at the entrance every 10 seconds. It takes 90 seconds (1.5 minutes) to process the payment, starting from the moment a cashier is available. Assume there is no pause between cars. Written in java, Your Tasks: Design class CarInLine, with the following specifications: The class has two instance variables: arrivalTime and DepartureTime, stored as integers. Define a constructor that accepts an integer as an argument representing the arrival time, in…All businesses want to keep their customers happy. To do that, many companies assign a certain amount of time to each customer to optimize the business. The alternative would be to hire more employees, which would lead to higher costs. This problem requires you to simulate how authorities optimize the number of cashiers at the entrance of a toll bridge to make sure drivers are satisfied. Make the following assumptions: There is one cashier per line. The line works as a queue with no cars cutting the line or leaving it. One car arrives at the entrance every 10 seconds. It takes 90 seconds (1.5 minutes) to process the payment, starting from the moment a cashier is available. Assume there is no pause between cars. Your Tasks: Design class CarInLine, with the following specifications: The class has two instance variables: arrivalTime and DepartureTime, stored as integers. Define a constructor that accepts an integer as an argument representing the arrival time, in which you set…
- You are given a rundown of n whole numbers. You can play out the accompanying activity: you pick a component x from the rundown, delete x from the rundown, and deduct the worth of x from every one of the excess components. Accordingly, in one activity, the length of the rundown is diminished by precisely 1 Given a whole number k (k>0), find assuming there is some arrangement of n-1 activities to such an extent that, subsequent to applying the tasks, the last component of the rundown is equivalent to k. Here is a guide to assist you with understanding the interaction better: In the underlying cluster, we had two 2-s, three 1-s, just a single 4 and just a single 3, so after the initial step, every component became equivalent to the quantity of its events in the underlying exhibit: each of the twos changed to 2, every one of the ones changed to 3, four changed to 1 and three changed to 1Let A = {a, b, c}, B = {x, y}, and C = {0, 1}. Identify B × B × B.Wireless sensor networks are a special kind of network that facilitates communication. Sensor nodes in WSNs relay information to and from a central base station. The computing resources and storage space of a sensor node are limited. Take, for example, an algorithm that can be solved by solving subproblems. Is it preferable to use dynamic programming or divide and conquer to solve these subproblems independently at various sensor nodes? Try to keep your writing short and sweet.
- Restructure Newton's method (Case Study: Approximating Square Roots) by decomposing it into three cooperating functions. The newton function can use either the recursive strategy of Project 2 or the iterative strategy of the Approximating Square Roots Case Study. The task of testing for the limit is assigned to a function named limitReached, whereas the task of computing a new approximation is assigned to a function named improveEstimate. Each function expects the relevant arguments and returns an appropriate value. An example of the program input and output is shown below: Enter a positive number or enter/return to quit: 2 The program's estimate is 1.4142135623746899 Python's estimate is 1.4142135623730951 Enter a positive number or enter/return to quitCorrect 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,…The cook must participate in the presence before each class, i.e. call out the names of the students one by one and indicate which students are present. Each student has a first and last name. To save time, Rajesh only wants to call up students' first names. However, if there are multiple students with the same first name, the Rajesh must call out the full names (first and last names) of all those students. For any student who does not share a first name with any other student, the cook can still only call that student's first name. Help the Rajesh decide for each student whether to call that student's full name or just their first name. Note: Please Answer in java language only. Input 1 1 hasan jaddouh Output hasan