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

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A hardware store is selling steel rods of various lengths. However, customers sometimes want to buy rods that the store doesn't carry. For example, if the store only carries 10cm and 30cm rods and a customer wants to buy a 25cm rod, then the order cannot be fulfilled. To boost sales, the store has come up with an idea to weld two rods together to make a longer rod. For example, if the store only carries 3cm and 5cm rods and a customer wants to buy a 8cm rod, then the order can be fulfilled by welding together 3-cm and 5-cm rods. Since rod welding can compromise the strength, the store will only weld up to TWO rods together. More precisely, this means, an order for x cm can be fulfilled if there is a single rod of length x or there are two rods (potentially of the same length) whose combined length is x. Your Task: Write a function process Orders (orders: List[int], sizes:List[int]) -> List[bool] to determine whether or not each of the given orders can be fulfilled. Here, orders is a…
Lets say we are creating a python game. A word is displayed gets displayed on the screen. The players of the game must type as many words as they an that are related to the word that is displayed. If players type in the same word multiple times, it is ignored. One the players are done taking turns, the program gives each player a score that is based off how many wrods they entered that are similiar to what other words players have entered. So for a player to get a point, the word they typed must be typed by another student. QUESTION: We need to store the words typed by the players and all words etered. Would we use a list, set, dict or tuple?
A chess knight, on one turn, moves either two squares vertically and one horizontally, or two horizontally and one vertically. If we consider a knight starting at the point ⟨x, y⟩ in Z × Z, it has eight possible moves, to ⟨x+1,y+2⟩,⟨x+1,y−2⟩,⟨x−1,y+2⟩,⟨x−1,y−2⟩,⟨x+ 2, y + 1⟩, ⟨x + 2, y − 1⟩, ⟨x − 2, y + 1⟩, or⟨x − 2, y − 1⟩. (a) Prove that given any two points ⟨x, y⟩ and ⟨x′, y′⟩ in Z × Z, there is a sequence of knight moves from the first point to the second. (b) Let a and b be different positive naturals. An (a, b)-knight also has eight possible moves, from ⟨x,y⟩ to ⟨x±a,y±b⟩ or ⟨x±b,y±a⟩. What conditions on a and b allow the (a, b)-knight to go from any point in Z × Z to any other? Prove your answer. (c) If a and b do not meet the conditions of part (b), exactly which points can the (a,b)- knight reach from ⟨x, y⟩
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.
Given a chess board, your job is to write a program that takes two squares x and y as input and then determines the number of knight moves on a shortest route from x to y. a b c d e f g h 8 e2 e4 al b2 b2 c3 al h8 al h7 h8 al b1 c3 f6 f6 7 6 01 5 4 3 2 1 T ● a b c d e f g h 8965 4 2 7 3 1 Input Specification Your program should read from an input file, which will contain one or more test cases. Each test case consists of one line containing two squares separated by one space. A square is a string consisting of a letter (a-h) representing the column and a digit (1-8) representing the row on the chessboard. Sample Input
We have n glasses which can hold a varying amount of liquid. We will say that glass1 is size q1 quarts and glass2 is size q2 quarts, etc. We now give you a size, say x quarts. You must give me a glass of exactly x quarts. You are allowed to fill any glass to exactly its size and to pour any liquid from one glass into another. When you pour, you either have to empty the glass you are pouring from or fill the glass you are pouring into. Can you do it?More concrete example: G1 has size 10 quarts. G2 has size 4 quarts. G3 has size 1 quart. You can get a 5 quart drink by filling G1, pouring 4 quarts from it into G2 and 1 quart of it into G1. After that, G1 has exactly 5 quarts. In the same problem, we could get 8 quarts by filling G2 twice and emptying it into G1 twice. Given This: Write an algorithm to do this and determine its complexity.
There are m towns in a straight line, with a road joining each pair of consecutive towns. Legends say that an ordinary person in one of these towns will become a hero by completing a sequence of n quests. The first quest will be completed in their home town, but after each quest they may complete their next quest either in the same town or after moving to a neighbouring town.For example, if n = 5 and m = 4, a resident of town 2 may become a hero as follows:• begin in town 2 for quest 1,• then move to town 3 for quest 2,• stay in town 3 for quest 3,• return to town 2 for quest 4, and• move to town 1 for quest 5.Design an algorithm which runs in O(nm) time and finds the total number of waysto complete n quests.
Consider two traffic lights in a junction that each one has a 7-segment display to show the remaining time. The traffic lights are working as follows: State1: Traffic light 1=GREEN Traffic light 2=RED for 10 seconds,State2: Traffic light 1=YELLOW Traffic light 2=YELLOW for 2 seconds,State3: Traffic light 1=RED Traffic light 2=GREEN for 6 seconds,GOTO State1 During each step, the amount of remaining time should be displayed on the 7-segment and it should be updated every one second. For example in State 1, the display shows 9, then after a second it shows 8, and ... finally, it shows 0 for one second, and the control moves to State 2Write an 8051 assembly program according to the Edsim51 configuration, LED 0, LED1 and LED 2 construct the first traffic light, and LED 3, LED 4, and LED 5 can be used for the 2nd traffic light. Assume that the lookup table for 7segment exists on memory at address 0F00h