Once upon a time, there is a special 7up store in GUB. If you return three empty [CO3] bottles to the shop, you'll get a full bottle of 7up to drink. If you have N empty bottles right in your hand, how many full bottles of 7up can you drink? Let me tell you how to drink 5 full bottles with 10 empty bottles: get 3 full bottles with 9 empty bottles, drink them to get 3 empty bottles, and again get a full bottle from them. Now you have 2 empty bottles. Borrow another empty bottle from the shop, then get another full bottle. Drink it, and finally return this empty bottle to the shop!
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- Suppose you can buy chocolate bars from a vending machine for $1 each.Inside every chocolate bar is a coupon. You can redeem 7 coupons for 1chocolate bar from the machine.For example, if you have $20, you can initially buy 20 chocolate bars.This gives you 20 coupons. You can redeem 14 coupons for 2 additionalchocolate bars. These 2 chocolate bars have 2 more coupons, so you now have atotal of 8 coupons. This gives you enough to redeem for 1 final chocolate bar.Write a recursive function that would accept the amount of dollars andcoupons as its parameters and output the total number of chocolate bars thatcan be bought (including those redeemed via coupons).Write a test program in C++that would allow the user to enter amount of dollarsand then use the recursive function to compute the number of chocolate barsthe user can buy, and output the number to the screen.A high school has 1000 students and 1000 lockers, one locker for each student. On the first day of school, theprincipal plays the following game: She asks the first student to open all the lockers. She then asks the secondstudent to close all the even-numbered lockers. The third student is asked to check every third locker. If it isopen, the student closes it; if it is closed, the student opens it. The fourth student is asked to check every fourthlocker. If it is open, the student closes it; if it is closed, the student opens it. The remaining students continuethis game. In general, the nth student checks every nth locker. If it is open, the student closes it; if it is closed,the student opens it. After all the students have taken turns, some of the lockers are open and some are closed.The program below, when ran, will prompt the user to enter the number of lockers in the school. After thegame is over, the program will output the number of lockers and the lockers numbers of the lockers…You have a fence post located at the point (x,y) where a goat is tethered by a rope. You also have a house, which is a rectangle with diagonally opposite corners at the points bottom-left: (x1,y1) and top-right: (x2,y2). You want to pick a length of rope that guarantees the goat cannot reach the house. Determine the minimum distance from the fence post to the house, so that you can make sure to use a shorter rope. Recall that the distance formula is: sqrt( (x2−x1)^2+(y2−y1)^2 ) The input consists of a single line containing six space-separated integer values: x, y, x1, y1, x2, and y2. You are guaranteed that x1<x2 and y1<y2, and that (x,y) is strictly outside the axis-aligned rectangle with corners at (x1,y1) and (x2,y2). Return the minimum distance from the goat’s post to the house as a floating-point value from main(). Learning Objectives Be able to create a program with a lesser template. Be able to calculate the min/max of integers. Be able to write a mathematical…
- vvvHarry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is l. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, l). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output.Input: 4 2 2Output4Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2π/3600 each second, but now it moves according…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 answerIn Python, 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?
- You have a card on which the letter J is written on one side and K on the other. You want to seeall of the possible ways the card will land if you drop it n times. Write a recursive method thatprints each session of dropping the cards with J's and K's. For example if you drop it 4 times in agiven session, all possible ways to drop it are as follows (in exactly the specified order): J J J JJ J J KJ J K JJ J K KJ K J JJ K J KJ K K JJ K K KK J J JK J J KK J K JK J K KK K J JK K J KK K K JK K K Kthere a N Book ,and M<N locations in a library .There are different ways in which these N books can be arranged in the location available.We will assume that the remaining book are put on the table The librarian ,Miss Boared-with-it-all goes about arranging these books in different ways all the time. You known,just to passthe time.Then she gets this bright idea to count the number the number of different ways that she can arrange all these books ,so that she hass something coll to fill into her appraised report.However , when she finally does computerthis number and starts to write it down ,she gets so lethargic she skips writing the trailing zero digits in the number .So now she wants you to WAP in java to count the number of digits she's skipped .Forexample 12340012000 ,then she only writes 12340012, i.e she skips writing the last three digit (three zeroes). So given N and M ,what's the number of digits that she does not write down? Input n M (two integer,single space separated)…Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…
- Mastermind is a code-breaking game for two players. In the original real-world game, one player A selects 4 pegs out of 6 colors and puts them in a certain fixed order; multiples of colors are possible (for example, red-green red-green). His opponent B does not know the colors or order but has to find out the secret code. To do so, B makes a series of guesses, each evaluated by the first player. A guess consists of an ordered set of colors which B believes is the code. The first player A evaluates the guess and feeds back to B how many positions and colors are correct. A position is correct ("black") if the guess and the secret code have the same color. Additional colors are correct ("white"), if they are in the guess and the code, but not at the same location. For example1 2 3 4secret: red-green red greenguess: red blue green purpleresults in one correct position ("black = 1") for the red peg at position one and one additional correct color ("white=1") for the green peg in the guess.…Write a program that reads HAND_SIZE cards from the user, then analyzes the cards and prints out the type of poker hand that they represent. (HAND_SIZE will be a global constant, typically 5, but your program must still work if it is set to something other than 5.) Poker hands are categorized according to the following hand-types: Straight flush, four of a kind, full house, straight, flush, three of a kind, two pairs, pair, high card. To simplify the program we will ignore card suits, and face cards. The values that the user inputs will be integer values from LOWEST_NUM to HIGHEST_NUM. (These will be global constants. We'll use LOWEST_NUM = 2 and HIGHEST_NUM = 9, but your program must work if these are set to something different.) When your program runs it should start by collecting HAND_SIZE integer values from the user and placing the integers into an array that has HAND_SIZE elements. It might look like this: Enter 5 numeric cards, no face cards. Use 2 - 9. Card 1: 8 Card 2: 7 Card…Write a program that reads HAND_SIZE cards from the user, then analyzes the cards and prints out the type of poker hand that they represent. (HAND_SIZE will be a global constant, typically 5, but your program must still work if it is set to something other than 5.) Poker hands are categorized according to the following hand-types: Straight flush, four of a kind, full house, straight, flush, three of a kind, two pairs, pair, high card. To simplify the program we will ignore card suits, and face cards. The values that the user inputs will be integer values from LOWEST_NUM to HIGHEST_NUM. (These will be global constants. We'll use LOWEST_NUM = 2 and HIGHEST_NUM = 9, but your program must work if these are set to something different.) When your program runs it should start by collecting HAND_SIZE integer values from the user and placing the integers into an array that has HAND_SIZE elements. It might look like this: Enter 5 numeric cards, no face cards. Use 2 - 9. Card 1: 8 Card 2: 7 Card…