The Night Owls Society is arranging a conference. To minimize costs, they want to schedule as many sessions as possible inthe main ballroom. Since night owls go to bed late and wake up late, they want sessions to begin as late as possible and don'tcare how late they run. Each session has a fixed start time and a fixed end time, though sessions may overlap. For example,the sessions may be as follows. (In a realistic version of this problem, there may be many more sessions.)Session NameBasket weavingFloral arrangementsCake decorationCookie bakingPasta makingStart timeEnd time10:30 AM11:45 AM10:45 AM12:30 PM12:15 AM2:00 PM12:45 PM3:00 PM2:15 PM4:30 PMTable decoration3:30 PM5:45 PMa. Define what it means for this problem to have optimal substructure.b. Show that this problem does have optimal substructure.c. What algorithmic strategy can one use to solve a problem with optimal substructure? (Do not write out the algorithm.)d. What does it mean for a problem to have the greedy choice property?e. Define a greedy choice for this problem and show that this problem has the greedy choice property. (HINT: Since meetingswill run as late as possible, it makes sense to schedule from the end of the day.)f. Now, write a greedy algorithm to schedule meetings. Use a heap to keep track of sessions that have not been scheduled.

1) A problem is said to have optimal sub structure if solutions to the problem can be found…

The Night Owls Society is arranging a conference. To minimize costs, they want to schedule as many sessions as possible in the main ballroom. Since night owls go to bed late and wake up late, they want sessions to begin as late as possible and don't care how late they run. Each session has a fixed start time and a fixed end time, though sessions may overlap. For example, the sessions may be as follows. (In a realistic version of this problem, there may be many more sessions.) Session Name Basket weaving Floral arrangements Cake decoration Start time End time 10:30 AM 11:45 AM 10:45 AM 12:30 PM 12:15 AM 2:00 PM Cookie baking 12:45 PM Pasta making Table decoration 3:00 PM 4:30 PM 5:45 PM 2:15 PM 3:30 PM a. Define what it means for this problem to have optimal substructure. b. Show that this problem does have optimal substructure. c. What algorithmic strategy can one use to solve a problem with optimal substructure? (Do not write out the algorithm.) d. What does it mean for a problem to have the greedy choice property?

The Night Owls Society is arranging a conference. To minimize costs, they want to schedule as many sessions as possible in the main ballroom. Since night owls go to bed late and wake up late, they want sessions to begin as late as possible and don't care how late they run. Each session has a fixed start time and a fixed end time, though sessions may overlap. For example, the sessions may be as follows. (In a realistic version of this problem, there may be many more sessions.) Session Name Basket weaving Floral arrangements Cake decoration Start time End time 10:30 AM 11:45 AM 10:45 AM 12:30 PM 12:15 AM 2:00 PM Cookie baking 12:45 PM Pasta making Table decoration 3:00 PM 4:30 PM 5:45 PM 2:15 PM 3:30 PM a. Define what it means for this problem to have optimal substructure. b. Show that this problem does have optimal substructure. c. What algorithmic strategy can one use to solve a problem with optimal substructure? (Do not write out the algorithm.) d. What does it mean for a problem to have the greedy choice property?

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

Consider a billboard that consists of n vertical panels of width 1 and varying integer heights, hanged down and held by a horizontal roller from the top. The panel i has a height h For the objective of placing two banners, it is allowed to move each panel up by any integer length using the roller. Once the necessary moves are completed, you may place two banners completely inside of the panels. Based on the above description, what is the maximum total area that you can provide for the two posters? Output Print a single integer- the maximum total area the two posters can cover together. Example 1: 6 Input: Output: 18 Input The first line of input contains one integer n (1
An experiment is performed and four events (A, B, C, and D) are defined over the set of all possible outcomes. Use the table below to select the pair of events that are independent: P(A) = 1/6 p(A/B) = 1/6 P(B) = 1/3 p(A/D) = 1/3 P(C) = 1/6 p(C/B) = 1/4 P(D) = 1/3 p(C/D) = 1/3
A bunch of people are living on an island, when a visitor comes with a strangeorder: all blue-eyed people must leave the island as soon as possible. There will be a flight out at 8:00pm every evening. Each person can see everyone else's eye color, but they do not know their own (nor is anyone allowed to tell them). Additionally, they do not know how many people have blue eyes, although they do know that at least one person does. How many days will it take theblue-eyed people to leave?
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)
This mini project has two parts. Given coordinates of five points: A(x1, y1), B(x2, y2), C(x3, y3) and D(x4, y4), P(x, y) in a plane: A B P D Part I: Find if the four points: A, B, C, D form a square or not. In order to identify this, both conditions (a) and (b) must be met: a) All four sides formed by points are the same. b) The angle between any two sides is 90 degree. A register r0 must be set to 1 if the four points form a square and 0 otherwise. Part II: If four points A, B, C, D form a square, check if the fifth point P lies within the square or not. In order to identify this, assume A1, A2, A3, and A4 are the areas of PAB, PBD, PCD, and PAC and A is the area of the square. If P lies inside the square, then A1 + A2 + A3 + A4 must be equal to A. The area of the triangle can be calculated from the following formula: Triangle Area %3D[x1(у2 - у3) + x2(у3 - у1) + х3(у1-у2)]/2 Your program should store the areas of square at 0x40000000 and all 4 triangles: PAB, PBD, PCD, and PAC in 4…
. Draw the ERD for the following scenario. In a university, a Lecturer can teach many different courses and even the same course numerous times. Courses can also be taught by many lecturers. A student is enrolled in only one program but a program can contain many students. Students can be rolled in many courses at the same time and the courses have many students enrolled.
Suppose you always eat a particular brand of cookies out of the standard-sized package it comes in from the store, which has 4 rows of cookies in equal amounts. You notice that when you eat 3 at a time, there's always one cookie left over. you decide when you purchase the next package, you'll eat 5 at a time but still, there's always one cookie left over. Since it really isn't helpful to always have a leftover cookie you decide to eat 7 at a time and there are no cookies leftover, but you do notice that in your last grab of 7 cookies, you're one cookie short
Let's revisit our first problem, where we want to set up a series of chess matches so we can rank six players in our class. As we did before, we will assume that everyone keeps their chess rating a private secret; however, when two players have a chess match, the person with the higher rating wins 100% of the time. But this time, we are only interested in identifying the BEST of these six players and the WORST of these six players. (We don't care about the relative ordering or ranking of the middle four players.) Your goal is to devise a comparison-based algorithm that is guaranteed to identify the player with the highest rating and the player with the lowest rating. Because you are very strong at Algorithm Design, you know how to do this in the most efficient way. Here are five statements. A. There exists an algorithm to solve this problem using 6 matches, but there does not exist an algorithm using only 5 matches. B. There exists an algorithm to solve this problem using 7 matches,…
Dreamworld is known for his uniqueness and there are 2 different denomination coins in Dreamworld, 1-cent coins and 2 cents coins. They have two faces - heads and tails. Your job is to find a number of ways to make a line order for these coins using the Python Code so that their total value is N cents. The only condition in line planning is that the first coin in the plan should have heads at the top. All other coins can have tails or heads at the top. Take N = 2 as an example. Possible arrangements are (1H, 1H), (2H), (1H, 1T), where H is primary and T is the tail. So, there are 3 possible plans that cost 2 cents. Input: 1 3 Output: 8
solve this
As we've previously seen, equations describing situations often contain uncertain parameters, that is, parameters that aren't necessarily a single value but instead are associated with a probability distribution function. When more than one of the variables is unknown, the outcome is difficult to visualize. A common way to overcome this difficulty is to simulate the scenario many times and count the number of times different ranges of outcomes occur. One such popular simulation is called a Monte Carlo Simulation. In this problem-solving exercise you will develop a program that will perform a Monte Carlo simulation on a simple profit function. Consider the following total profit function: PT=nPv Where Pr is the total profit, n is the number of vehicles sold and P, is the profit per vehicle. PART A Compute 5 iterations of a Monte Carlo simulation given the following information: n follows a uniform distribution with minimum of 1 and maximum 10 P, follows a normal distribution with a mean…
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…