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
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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
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- Suppose you have a knapsack that can carry up to 17 pounds. You can only put certain items, and each item has a weight and a value. You want to put the items that will give you the highest possible value, but you can only carry up to 15 pounds. Here are the items you can put and their weights and values: I Weight value Value/Weight 1 2 10 5 2 4 30 7.5 3 6 50 8.33 4 9 70 7.78 5 10 80 8 Table 1: Caption Your task is to solve the Knapsack Problem using a greedy approach.Hints:- Sort the items by their value-to-weight ratio in descending order. Start with the item with the highest value-to-weight ratio and add it to the knapsack. - Continue adding items to the knapsack in descending order of their value-to-weight ratio until the knapsack is full or there are no more items left. - Your solution should output the total value of the items in the knapsack and the list of items that you have put. -This…You work for a company that has warehouses of items. The items are all packaged in boxes that are roughly the same size. Each warehouse has some shelves in it. The shelves all hold the same number of boxes. To keep things from getting confusing, a shelf will only contain one kind of item on it, and a warehouse will have at most one shelf storing a given kind of item. (If the shelf is full, that item would go to a different warehouse to make sure that items are evenly distributed, but your code won’t track multiple warehouses.) You will create a Warehouse class to simulate a warehouse according to the above description. If you would like to make use of another class of your design, declare it inside the Warehouse class (this is called an inner class). It is possible to create an efficient solution without having to do this. You can imagine each shelf sitting in a long line; what kind of data structure have we seen that can take advantage of this? If each shelf has multiple properties,…You work for a company that has warehouses of items. The items are all packaged in boxes that are roughly the same size. Each warehouse has some shelves in it. The shelves all hold the same number of boxes. To keep things from getting confusing, a shelf will only contain one kind of item on it, and a warehouse will have at most one shelf storing a given kind of item. (If the shelf is full, that item would go to a different warehouse to make sure that items are evenly distributed, but your code won’t track multiple warehouses.) You will create a Warehouse class to simulate a warehouse according to the above description. If you would like to make use of another class of your design, declare it inside the Warehouse class (this is called an inner class). It is possible to create an efficient solution without having to do this. You can imagine each shelf sitting in a long line; what kind of data structure have we seen that can take advantage of this? If each shelf has multiple properties,…
- A band of thieves comes up with a series of rules for hiding their loot so that they are always able to find it. The rules are as follows: If the house is next to a lake, then the treasure does not go in the kitchen If the tree in the front yard is an elm, then the treasure is in the kitchen The tree in the front yard is an elm or the treasure is buried under the flagpole If the tree in the backyard is an oak then the treasure is in the garage. You observe that the house where the treasure is hidden is next to a lake. Where is the treasure? discrete mathJava Program Scenario: A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, the principal plays the following game: She asks the first student to open all the lockers. She then asks the second student to close all the even-numbered lockers. The third student is asked to check every third locker. If it is open, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourth locker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continue this game. In general, the nth student checks every nth locker. If the locker is open, the student closes it; if it is closed, the student opens it. After all the students have taken their turns, some of the lockers are open and some are closed. Write a program that prompts the user to enter the number of lockers in a school. After the game is over, the program outputs the number of lockers and the…Write a program using Python to solve the locker riddle which reads as follows: Imagine 100 lockers numbered 1 to 100 with 100 students lined up in front of those 100lockers:The first student opens every locker.The second student closes every 2nd locker.The 3rd student changes every 3rd locker; if it’s closed, she opens it; if it’s open, she closes it.The 4th student changes every fourth locker (e.g., 4th, 8th, etc.).The 5th student changes every 5th locker (e.g., 5th, 10th, etc.).That same pattern continues for all 100 students. Which lockers are left open after all 100 students have walked the rowof lockers?
- A robot starts on a point marked “A” on a rectangular grid of points. The starting point is always the top left point on the grid. The robot can move left, right, up or down, moving from one point to the next. By moving in steps going left, right, up or down, the robot would like to reach a point marked “B”, which is always the bottom right point in the grid. Sometimes, points are marked as “x”, and the robot is not allowed to visit them at all. A robot is never allowed to visit a point more than once. In how many ways can the robot move from A to B and visit all points along the way? For example, in the following grid, represented in text as A . . . . B there is only one path from A to B: In the following grid, represented in text as A . . x x B there is still only one path (we're lucky because of the two x's): However, in the grid A . . . x B there are no ways for the robot to move from A to B and visit all points that are not marked with “x”. Write a single…You are given an instance of a problem where you have an n x n grid of squares. Each square can be unpainted or can have a hole, so you cannot go on the square with a hole. The objective is to paint all the squares that do not have a hole. You start in the square (0,0) which is unpainted. The actions you can do are: (1) paint the square you are on if it is not painted; (2) move, either vertically or horizontally, to an adjacent square inside the grid that is not painted and does not have a hole. a. Describe a state-space representation for the problem, specifying the state representation, the initial state, the goal condition, and the actions. b. Is the state space finite? Is it a tree or a graph? c. Propose a heuristic for the problem. Is your heuristics admissible or not? Explain briefly your answerSuppose you have a large collection of photos from your trips, including photos of yourself alone, photos of yourself with other people, photos of other people without you, as well as photos without people. These images look more sharp or more detailed if we are able to perceive all the objects and their shapes correctly in it. For example. An image with a face, looks clear when we are able to identify eyes, ears, nose, lips, forehead e.t.c very clear. This shape of an object is due to its edges. So in blurring, we simple reduce the edge content and makes the transition form one color to the other very smooth.a) In your own words, briefly explain a blurred image and why it is sometimes useful to blur an image.EV(6)b) Distinguish between blurring and zooming in your own words and provide in each case practical examples.EV(5)c) Identify and describe the three common types of filters that are used to perform blurring by illustrating with appropriate examples.
- In programming, we use the mask concept to indicate information that can be shown to the user and information that must be “masked”, that is, hidden. In an implementation of a hangman game, we use a mask to indicate which secret word positions the player has already guessed right (whose the contents must therefore be shown to the player), and which positions must remain hidden. Each time that the player hits a letter of the hidden word, the mask is updated so that it has little dashes in the places of letters that the player has not hit yet and show it, in their proper place, the letters that he already hit it. For example, if the word is "cards", the current mask is: - a - - s and the player guesses the letter "d", the mask should be updated to: - a - ds.Write a function called update_mask that takes as input a string containing the word secret (in the example above, this word would be “cards”), a list whose elements are the characters of the current mask (in the example above…In a classroom election, two presidential candidates, namely, Lisa and Teddy, both garnered the same number of total votes. As such, they decided to play a custom dice game to determine the winner of the election. In this game, a player needs to roll a pair of dice. Teddy will win the game if the sum is odd whereas Lisa will be declared winner if the sum results to even. However, prior to the start of the game, Teddy complained that the custom dice game is biased because according to him, the probability of an even result is 6/11, and for odd - only 5/11. Verify Teddy's claim and evaluate the fairness of the game. CLEAR SOLUTIONIn a classroom election, two presidential candidates, namely, Lisa and Teddy, both garnered the same number of total votes. As such, they decided to play a custom dice game to determine the winner of the election. In this game, a player needs to roll a pair of dice. Teddy will win the game if the sum is odd whereas Lisa will be declared winner if the sum results to even. However, prior to the start of the game, Teddy complained that the custom dice game is biased because according to him, the probability of an even result is 6/11, and for odd - only 5/11. Verify Teddy's claim and evaluate the fairness of the game. A. The game is fair. B. The game is unfair to Lisa. C. The game is unfair to Teddy. D. More information is needed. complete solution