In a recent court case, a judge cited a city for contempt and ordered a fine of $2 for the first day. Each subsequent day, until the city followed the judge's order, the fine was squared (i.e., the fine progressed as follows: $2, $4, $16, $256, $65,536,...). a. What would be the fine on day N? b. How many days would it take for the fine to reach D dollars (a Big-Oh answer will do)? 2.6
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- Scenario:One of the renowned supermarket in Dhaka City, “Shwapno” is celebrating their firstanniversary of opening. They have become very popular among people in a short amount oftime. As a method of celebration they have designed three interesting and exciting offer for theircustomers for that day only!! The offers are described as follows:Offer 1: This offer says, if the name of any customer starts with “S” OR ends with “o”, theywill receive a gift which contains 1 kg miniket rice and 1 litre soyabean oil. This offer isdedicated from their name, Shwapno.Offer 2: This offer says, if one customer have taken products and his/her total product weightis less than 1.50 kg, then Shwapno will give all the products to the customer for free. If the totalweight is 1.50 kg or more, the customer will have to pay the full amount.Offer 3: This offer says, if a customer is aged less than 15, then he/she will receive chocolates.If aged 15 or more, then no gifts for the customer.Implementation:Create…A pistol-wielding robber approached a Quaker on a rural road. "Your money or your life!" shouted the thief. "Exchange is allowed, and I will offer thee my purse for the weapon," my buddy said. The thief accepted the handbag, then the quaker held the pistol to his head and said, "Now friend, give me back my pocketbook or the weapon may go off fire," according to the robber.A bandit with a weapon suddenly accosted a quaker as he walked along a remote road. "Your money or your life!" screamed the thief. Because I would be supporting thee in evildoing, my buddy said, "I cannot provide my money, but exchange is permissible, and I will offer thee my purse for the gun." He agreed to give it back, but he was threatened with gunfire, according to the thief, who claimed the quaker pulled a pistol at him and screamed, "Now buddy, give me back my wallet or I'll shoot you."
- A group of individuals are living on an island when a visitor arrives with an unusual order: all blue-eyed people must leave the island immediately. Every evening at 8:00 p.m., a flight will depart. Everyone can see everyone else's eye colour, but no one knows their own (nor is anyone allowed to tell them). Furthermore, they have no idea how many people have blue eyes, but they do know that at least one person has. How long will it take for the blue-eyed individuals to leave?You are given an exam with questions numbered 1, 2, 3, . . . , n. Each question i is worth pi points and has a frustration score fi . You must answer the questions in order, but you may choose to skip some questions. The reason you might choose to do this is that even though you can solve any individual question i and obtain the ???? points, some questions are so frustrating that after solving them you will be unable to solve any of the following fi questions. Suppose that you are given the pi and fi values for all the questions as input. Devise an efficient algorithm you can for choosing a set of questions to answer that maximizes your total points, and compute its asymptotic worst case running time as a function of n.Three persons P1, P2, and P3 were invited by their friend F to make some smørbrød (sandwich made of bread, eggs, and tomato) together. To make a portion of smørbrød, three ingredients are needed: a slice of bread, a slice of tomato, and a slice of an egg. Each of these persons P1, P2, P3 has only one type of each of the ingredients: person P1 has slices of bread person P2 has slices of tomato; person P3 has slices of egg. We assume that persons P1, P2, and P3 each has an unlimited supply of these ingredients (i.e., slices of bread, slices of tomato, slices of egg), respectively. Their friend F, who invited them, also has an unlimited supply of all the ingredients. Here is what happens: the host F puts two random ingredients on the table. Then the invited person who has the third ingredient picks up these other two ingredients, and makes the smørbrød (i.e., takes a slice of bread, puts on it a slice of tomato, and puts on top a slice of egg), and then eats the smørbrød. The host of…
- A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 6 freshmen, 7 sophomores, 9 juniors, and 7 seniors are eligible to be on the committee, in how many ways can the committee be chosen? Your answer is:On an island, a group of people are living until a visitor arrives with an odd directive: everyone with blue eyes must leave the island as quickly as possible. Every evening, a flight will depart at 8:00. Everyone can see the colour of everyone else's eyes, but they are blind to their own (nor is anyone allowed to tell them). They also do not know the number of persons who have blue eyes, but they do know that at least one person has them. How long will it take the folks with blue eyes to leave?A bandit with a gun approached a quaker as he strolled along a remote road. The thief made an ultimatum: "Your money or your life!" My buddy said, "I can't give you my money because then I'd be helping you do evil, but exchange is legal, so here, take my pocketbook in return for your gun." After the robber agreed to take the handbag, the Quaker put the pistol to his head and demanded the purse back, with the ominous warning, "Now friend, give me back my pocketbook or the weapon may go off fire."
- A standard deck of playing cards consists of 52 cards. Each card has a rank and a suit. There are 13 possible ranks (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K), 4 possible suits (spades, clubs, hearts, diamonds), and 13 cards for each suit. How many different hands of 5 cards contain 5 cards of 5 different ranks? Enter the exact numeric answer.Consider the following case study: "Springfield University offers a number of courses. A course contains a number of units. Students enrol and elect a set of units every semester. Students are allowed to enrol in a maximum of 5 units in any given seme ster. They can only be enrolled into a single course at any given point in time. However, over a student's lifetime, they may undertake a number of different courses. Each unit has a set fee that is set at the start of the semester. This fee is to be paid up-front in full by the students once enrolled. Some units have pre-requisite unit requirements. Some units have co-requisite unit requirements. To be enrolled in some courses, you must have completed a certain course (e.g. to enrol into a Postgraduate course, you must have an Undergraduate degree)." Noun (bold)/verb (underline) analysis on the case study is marked for you to identify candidate classes, attributes, operations. Now, draw the domain model for the above case study.Suppose you are trying to make a schedule for use of the auditorium for different clubs in a school. The auditorium can be used in the afternoons from Sunday to Thursday. There are five clubs: Music, Drama, Dance, Photography, Computer. There are a few rules that must be followed: a)The auditorium can be used by only one club on a day. b)Computer club wants to use on Monday or Thursday. c)Drama club wants on Wednesday or Thursday. d)Music club is fine with any day. Dance club wants on Monday or Wednesday. e)Photography club wants on Sunday, Tuesday or Wednesday. Formulate this problem as a CSP. Draw the constraint graph. Show the steps followed by backtracking search algorithm and derive a solution.