Suppose you have a set of n lectures that need to be scheduled in classrooms. Each lecture has fixed starting and ending times. You would like to use as few classrooms as possible to schedule all lectures. For example: Lectures Starts: 1 2 3 4 6. 7 8 9. 10 9:00 9:00 10:30 11:00 2:00 4:30 9:00 11:00 1:00 1:00 3:00 3:00 Ends: 10:30 12:30 12:30 2:00 2:30 2:30 4:30 4:30 These lectures can be scheduled in 3 classrooms. • Explain how a brute force algorithm would solve this problem and analyze its complexity. • Design a more efficient algorithm to solve this problem, and analyze its complexity [Important instruction: Create an arbitrary list of 10 lectures starting 4 times and their corresponding ending times to provide full explanation of how your proposed algorithm should work sten by stenl

Suppose you have a set of n lectures that need to be scheduled in classrooms. Each lecture has fixed starting and ending times. You would like to use as few classrooms as possible to schedule all lectures. For example: Lectures Starts: 1 2 3 4 6. 7 8 9. 10 9:00 9:00 10:30 11:00 2:00 4:30 9:00 11:00 1:00 1:00 3:00 3:00 Ends: 10:30 12:30 12:30 2:00 2:30 2:30 4:30 4:30 These lectures can be scheduled in 3 classrooms. • Explain how a brute force algorithm would solve this problem and analyze its complexity. • Design a more efficient algorithm to solve this problem, and analyze its complexity [Important instruction: Create an arbitrary list of 10 lectures starting 4 times and their corresponding ending times to provide full explanation of how your proposed algorithm should work sten by stenl

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

Suppose you have a set of n lectures that need to be scheduled in classrooms. Each lecture has fixed starting and ending times. You would like to use as few classrooms as possible to schedule all lectures. For example: Lectures 1 2 3 5 7 8 10 11:00 11:00 10:30 12:30 10:30 12:30 2:00 Starts: 9:00 9:00 9:00 1:00 1:00 2:00 3:00 3:00 Ends: 2:30 2:30 4:30 4:30 4:30 These lectures çan be scheduled in 3 classrooms. a) Explain how a brute force algorithm would solve this problem and analyze its complexity. b) Design a more efficient algorithm to solve this problem, and analyze its complexity| [Important instruction: Create an arbitrary list of 10 lectures starting times and their corresponding ending times to provide full explanation of how your proposed algorithm should work step by step] Implement your efficient algorithm using Python
You are the sysadmin for a big tech company, and you have to estimate the amount of servers you need to handle some long-running jobs. One server can handle only one job at once. One job can only be executed by one server at once. Once a server has finished executing its current job, it can be reassigned to a new job. Given an array of time intervals intervals where intervals[i] = [starti, endi], representing the start and end time for a particular job that needs to be executed, return the minimum number of servers required to run all jobs. Constraints: 1 <= intervals.length <= 104 0 <= starti < endi <= 106 Function definition for Java: public int minMeetingRooms(int[][] intervals) { // Your code here } Function definition for Python: def minMeetingRooms(self, intervals: List[List[int]]) -> int: #Your code here Announced Test Cases: Input: intervals = [[0,30],[5,10],[15,20]] Output: 2Explanation: We need one server for the job that starts at 0. For the job…
A grid needs a system for numbering the tiles in order to allow random-access lookup.For instance, the rows and columns of a square grid provide a natural numbering for the tiles. Create plans for hexagonal and triangular grids. Create a rule for identifying the neighbourhood (i.e., nearby tiles) of a certain tile in the grid using the numbering scheme. For instance, the neighbourhood of tile I j in a four-connected square grid with indices of I for rows and j for columns may be described as neighbourhood(i, j) = I 1, j, I j 1.
An airline association assigns three-letter codes to represent airport locations. For example, the airport code for Clark, Pampanga, is CPP. Notice that repetition is allowed in forming this code. How many airport codes are possible?
A salesman would like to visit a set of n cities. The cities are connected pairwise by a direct trains. The cost of a train ticket varies depending on the cities it connects. This salesman would like to fly into one city, then use trains to visit each city exactly one, and then fly out of the last city on his trip. The cost of his trip is the total cost of all the train tickets (the plane tickets are not included). The salesman may chose any city to fly into and any city to fly out of. Let the problem of determining if there is a trip that costs at most k dollars be called T rainSalesman. Show that this problem is NP-complete.
Python Question The campus is pretty big. There are n buildings scattered around it, numbered from 0 to n-1. These buildings are so far away from each other that the only way to get from one to another is to take a campus bus. There are m campus bus routes. The i-th one (0 <= i < m) takes you from building u_i to building v_i (but not the other way around). These buses run very frequently. Professor Zingaro is deciding where to hold his CS lectures. He believes a building x is accessible from a building y if you can get from y to x taking at most two buses. For his students’ convenience, he wants to hold his lectures in the most accessible building. Help him out by telling him how many buildings the most accessible building is accessible from. In addition, list all buildings that are the most accessible. Input The first line of the input contains two space-separated integers n and m, denoting the number of buildings and bus routes, respectively. m lines follow. The i-th one…
In a candy store, there are N different types of candies available and the prices of all the N different types of candies are provided to you. You are now provided with an attractive offer. You can buy a single candy from the store and get at most K other candies ( all are different types ) for free. Now you have to answer two questions. Firstly, you have to find what is the minimum amount of money you have to spend to buy all the N different candies. Secondly, you have to find what is the maximum amount of money you have to spend to buy all the N different candies. In both the cases you must utilize the offer i.e. you buy one candy and get K other candies for free. Example 1: Input: N = 4 K = 2 %3D candies[] = {3 2 1 4} Output: 3 7
Given two prime numbers, P1 and P2, your task is to reach from P1 to P2 by changing only one digit at a time and also the number you get after changing a digit must also be a prime. For example suppose that P1 is 1033 and P2 is 8179 (both primes), we can reach from P1 to P2 in following way:- 1033-> 1733-> 3733-> 3739-> 3779-> 8779-> 8179. The first digit must be non-zero that is you can not go from 4-digit to 3-digit numbers. Note that there may be multiple way to get to destination but you have to find the way in minimum number of steps. For example the minimum number of steps to get from P1 to P2 in following examples are as follows 1033 8179 ANWSER:- 6 1373 8017 ANWSER:- 7 1033 1033 ANWSER:- 0 Hint: Apply BFS
Q2: Ginormous Campus There are n buildings scattered around it, numbered from 0 to n-1. These buildings are so far away from each other that the only way to get from one to another is to take a campus bus. There are m campus bus routes. The i-th one (0 <= i < m) takes you from building u_i to building v_i (but not the other way around). These buses run very frequently. Professor Zingaro is deciding where to hold his CSC108 lectures. He believes a building x is accessible from a building y if you can get from y to x taking at most two buses. For his students’ convenience, he wants to hold his lectures in the most accessible building. Help him out by telling him how many buildings the most accessible building is accessible from. In addition, list all buildings that are the most accessible. Filename Your filename for this question must be q2.py. Input The first line of the input contains two space-separated integers n and m, denoting the number of buildings and bus routes,…
There are a set of courses, each of them requiring a set of disjoint time intervals. For example, a course could require the time from 9am to 11am and 2pm to 3pm and 4pm to 5pm. You want to know, given a number K, if it’s possible to take at least K courses. You can only take one course at any single point in time (i.e. any two courses you choose can’t overlap). Show that the problem is NP-complete, which means that choosing courses is indeed a difficult thing in our life. Use a reduction from the Independent set problem.
A pollster obtains a list of register voters and uses a computure random number generator to choose 100 of them to ask which canidate they prefer in the upcoming election
There is an upcoming football tournament, and the n participating teams are labelled from 1 to n. Each pair of teams will play against each other exactly once. Thus, a total of [n(n-1)/2] matches will be held, and each team will compete in n − 1 of these matches. There are only two possible outcomes of a match: 1. The match ends in a draw, in which case both teams will get 1 point. 2. One team wins the match, in which case the winning team gets 3 points and the losing team gets 0 points. Design an algorithm which runs in O(n2 ) time and provides a list of results in all [n(n-1)/2] matches which: (a) ensures that all n teams finish with the same points total, and (b) includes the fewest drawn matches among all lists satisfying (a). Do not write the code, give steps and methods. Explain the steps of algorithm, and the logic behind these steps in plain English list of results mean Any combination of wins, losses and draws. You may wish to view this as a mapping from the set of distinct…