his dream workplace with N-1 of his friends! Like any dream workplace, this a ons. To ensure absolute happiness of the employees, there are the following er works on exactly one day! You heard it right: no more, no less. ay, at most one worker may work. This provides the perfect work conditions: nd you. ker has a deadline; let's denote the deadline of the i-th worker by di. (This mea ich the i-th worker works must not be later than day di: the days are numbere
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Computer science Cs 102
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- Three prisoners have been sentenced to long terms in prison, but due to over crowed conditions, one prisoner must be released. The warden devises a scheme to determine which prisoner is to be released. He tells the prisoners that he will blindfold them and then paint a red dot or blue dot on each forehead. After he paints the dots, he will remove the blindfolds, and a prisoner should raise his hand if he sees at least one red dot on the other two prisoners. The first prisoner to identify the color of the dot on his own forehead will be release. Of course, the prisoners agree to this. (What do they have to lose?) The warden blindfolds the prisoners, as promised, and then paints a red dot on the foreheads of all three prisoners. He removes the blindfolds and, since each prisoner sees a red dot (in fact two red dots), each prisoner raises his hand. Some time passes when one of the prisoners exclaims, "I know what color my dot is! It's red!" This prisoner is then released. Your problem…Rohan, the bookworm plans on reading 8 books by next week. But he only reads novels,poetry, short stories or science fiction. Interestingly he says, "My love for novels is twicethe love for the rest altogether ". He also claims, "Love for short stories = 3 x Love forscience fiction = 3 x Love for poetry". Taking these into account, determine theprobability that he reads 4 novels, 3 poetry and 1 short story or science fiction?Suppose 2n people come to the game and every individual pays for their own "ticket" and that by the end of the evening there were exactly n with 50 Dhs notes and exactly n with 100 Dhs notes. We want to think about different the implications of them arriving in different orders. For example, if all the people with 100s arrived first then we would need to issue 50 IOUs(I Own You). Draw a flow chart and answer by logic and math.
- This problem exercises the basic concepts of game playing, using tic-tac-toe (noughtsand crosses) as an example. We define Xn as the number of rows, columns, or diagonals with exactly n X’s and no O’s. Similarly, On is the number of rows, columns, or diagonals with just n O’s. The utility function assigns +1 to any position with X3 = 1 and −1 to any position with O3 = 1. All other terminal positions have utility 0. For nonterminal positions, we use a linear evaluation function defined as Eval (s) = 3X2(s)+X1(s)−(3O2(s)+O1(s))."Mark on your tree the evaluations of all the positions at depth 2."A police academy has just brought in a batch of new recruits. All recruits are given an aptitude test and a fitness test. Suppose a researcher wants to know if there is a significant difference in aptitude scores based on a recruits’ fitness level. Recruits are ranked on a scale of 1 – 3 for fitness (1 = lowest fitness category, 3 = highest fitness category). Using “ApScore” as your dependent variable and “FitGroup” as your independent variable, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, to see if there is a significant difference on the aptitude test between fitness groups. Identify the correct values for dfbetween and dfwithin A. dfbetween = 7 dfwithin = 7 B. dfbetween = 13 dfwithin = 2 C. dfbetween = 2 dfwithin = 13 D. dfbetween = 2 dfwithin = 2For (∃ x)(P(x,b)) Would an example of this being true if the domain was all the Avengers and x was green skin, then "b" being the Hulk would make this true. Am example of this being false would be: If the domain was all integers and x was positive, even integers and "b" was integers greater than zero.
- Suppose you open a small shop and can't pay electronically. There are only four kinds of coins in the cashbox: 25 cents, 10 cents, 5 cents and 1 cent. If you are a salesperson and want to change 41 cents for customers, how can you arrange to give customers the right amount of money and the least number of coins? The idea:Take the coin with largest denomination without exceeding the remaining amount of cents, make the locally best choice at each step."Equatable and Comparable" in the Swift Programming: The Big Nerd Ranch Guide (2nd Ed.) e-book: Point’s current conformance to Comparable yields some confusing results. let c = Point(x: 3, y: 4) let d = Point(x: 2, y: 5) let cGreaterThanD = (c > d) // false let cLessThanD = (c < d) // false let cEqualToD = (c == d) // false As the above example demonstrates, the trouble arises in comparing two points when one point’s x and y properties are not both larger than the other point’s. In actuality, it is not reasonable to compare two points in this manner. Fix this problem by changing Point’s conformance to Comparable. Calculate each point’s Euclidean distance from the origin instead of comparing x and y values. This implementation should return true for a < b when a is closer to the origin than b. Use the formula shown in below Figure 25.1 to calculate a point’s Euclidean distance. Figure 25.1 Euclidean distance Euclidean distanceA library must build shelving to shelve 200 4-inch high books, 150 8-inch high books, 300 10-inch high books and 180 12-inch high books. Each book is 0.5 inch thick. The library has several ways to store the books. For example, an 8-inch high shelf may be built to store all books of height less than or equal to 8 inches, and a 12-inch high shelf may be built for the 12-inch books. Alternatively, a 12-inch high shelf might be built to store all books. The library believes it costs $2,300 to build a shelf and that a cost of $5 per square inch is incurred for book storage. (Assume that the area required to store a book is given by height of storage area times book’s thickness.) Formulate and solve a shortest-path problem that could be used to help the library determine how to shelve the books at minimum cost. (Hint: Have nodes 0, 4, 8, 10 and 12, with cij being the total cost of shelving all books of height >i and ≤ j on a single shelf.)
- Consider the Modified tower of Hanoi problem with 2 Pegs (A, B) and 10 Disks. All these disks are placed in Peg A, where the smallest disk is placed on the top and the largest disk is placed on the bottom. We want to move all these disks from A to B.What is the minimum number of moves required to solve this problem. While moving, consider the same rule as shown in the class. Justify your answer.Consider a North American traffic light. The light (Traffic Light #1) is red by default, and only turns green when a car is present at the red light, as sensed by the car presence sensor, and the light stays green as long as there is a car sensed. If a walker presses a button to request to cross the street, or if there are no cars present, the light turns yellow, and then red on the next clock trigger. The walk button has priority over the presence of a car, and the light will stay red when a walker presses the walk button. a. Draw the state machine diagram. The color of the light is the output of the system. b. Find Boolean expressions for the flip flop input equations and output equationsWe examine a problem in which we are handed a collection of coins and are tasked with forming a sum of money n out of the coins. The currency numbers are coins = c1, c2,..., ck, and each coin can be used as many times as we want. What is the bare amount of money required?If the coins are the euro coins (in euros) 1,2,5,10,20,50,100,200 and n = 520, we need at least four coins. The best option is to choose coins with sums of 200+200+100+20.