The following image shows 4 boxes containing different balls labelled by numbers between 1 and 9. 4 2 (8) (5 7 5 The boxes are used in a lottery to determine a winning combination of 4 numbers by drawing one ball from each box. To enter the lottery, participants write 4 numbers between 1 and 9 on their ticket in nondecreasing order (from smallest to largest). A ticket wins if all its numbers are drawn in the lottery. The order in which the numbers are drawn does not matter. For example, if the drawing is (2, 8, 2, 1), then a ticket with the numbers (1, 2, 2, 8) wins (the numbers are the same, albeit in a different order), but a ticket with the numbers (1, 2, 2, 9) loses. Construct a list of all valid tickets, i.e., all tickets that can potentially be drawn in the lottery, and store it in the variable possible_tickets. The tickets should be specified as tuples of 4 numbers in nondecreasing order, and every valid ticket should appear exactly one time in the list possible_tickets. (Note, however, that some numbers may occur more than once on a single ticket, as in the above example.)
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- Transcribed Image Text Question 18 D The following question uses a robot in a grid of squares. The robot is represented as a triangle, which is initially facing toward the top of the grid. The following code segment moves the robot around the grid. Assume that n is a positive integer.An 8-puzzle game consists of 8 sliding tiles, numbered by digits from 1 to 8 and arranged in a 3x3 array of nine cells. A configuration in the puzzle refers to some specific arrangement of the tiles in the array, where each digit is arranged into a different cell. One of the cell is empty (represented by a "*") and any adjacent tile can be moved into the empty cell. An example below c | 1 | 2 | 3 b | 4 | * | 5 a | 6 | 7 | 8------------------ Y/X a b c We use a 3-tuple (number, X, Y) to represent the position of a digit, where number is the actual digit, and (X,Y) is the coordinate value of the digit in the current configuration (e.g., in the configuration above, we have (5,c,b), meaning the digit 5 is at the position of (c,b)).Hence the configuration in the example can be represented as:[(1,a,c), (2,b,c), (3,c,c), (4,a,b), (5,c,b), (6,a,a), (7,b,a), (8,c,a)].Any move of an adjacent tile into the empty cell moves the current configuration into the one adjacent to it.…Treasure Hunter description You are in front of a cave that has treasures. The cave canrepresented in a grid which has rows numbered from 1to , and of the columns numbered from 1 to . For this problem, define (?, )is the tile that is in the -th row and -column.There is a character in each tile, which indicates the type of that tile.Tiles can be floors, walls, or treasures that are sequentially representedwith the characters '.' (period), '#' (hashmark), and '*' (asterisk). You can passfloor and treasure tiles, but can't get past wall tiles.Initially, you are in a tile (??, ). You want to visit all the treasure squares, andtake the treasure. If you visit the treasure chest, then treasurewill be instantly taken, then the tile turns into a floor.In a move, if you are in a tile (?, ), then you can move tosquares immediately above (? 1, ), right (?, + 1), bottom (? + 1, ), and left (?, 1) of thecurrent plot. The tile you visit must not be off the grid, and must not be awall patch.Determine…
- Lucky Pairs Richie and Raechal are participating in a game called "Lucky pairs" at the Annual Game Fair in their Company. As per the rules of the contest, two members form a team and Richie initially has the number A and Raechal has the number B.There are a total of N turns in the game, and Richie and Raechal alternatively take turns. In each turn, the player's number is multiplied by 2. Richie has the first turn. Suppose after the entire N turns, Richie’s number has become C, and Raechal’s number has become D, the final score of the team will be the sum of the scores (C+D) of both the players after N turns. Write a program to facilitate the quiz organizers to find the final scores of the team. Input and Output Format:The only line of input contains 3 integers A, B, and N.Output a single line that contains the integer that gives the final score of the team which will be the sum of the scores of both the players after N turns.Refer sample input and output for formatting specifications.…Happy Learning (this is a fictional scenario) The kindergarten allows the parents (caretakers) to select daily the menu for lunch. There are over 40 possible items to be included in the lunch menu. For a lunch item we keep a 4 digits code, its name (up to 28 characters), and the number of calories (an integer). A parent (caretaker) can make for each of his/her children a lunch order everyday. All orders made are stored. If no order is made in a day the last order made will be provided. An order consists of maximum 6 items. Same item cannot be ordered multiple times in the same order. The order does not store the caretaker who made the order. The Entities are: PARENT, CHILD, MENU, ORDER 1. Relationship Strength: Weak or Strong? 2. Relationship Type: (M:1, 1:1 etc) 3. What are the Cardinalities? PARENT to CHILD? CHILD to ORDER? ORDER to MENU? Please don't copy and paste answers from other sources, Thank You!The card that wins the trick def winning_card(cards, trump=None): Playing cards are again represented as tuples of (rank,suit) as in the cardproblems.py lecture example program. In trick taking games such as whist or bridge, four players each play one card from their hand to the trick, committing to their play in clockwise order starting from the player who plays 0irst into the trick. The winner of the trick is determined by the following rules: If one or more cards of the trump suit have been played to the trick, the trick is won by the highest ranking trump card, regardless of the other cards played. If no trump cards have been played to the trick, the trick is won by the highest card of the suit of the 0irst card played to the trick. Cards of any other suits, regardless of their rank, are powerless to win that trick. Ace is the highest card in each suit. Note that the order in which the cards are played to the trick greatly affects the outcome of that trick, since the 0irst…
- Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…Credit Card Number Check. The last digit of a credit card number is the check digit, which protects against transcription errors such as an error in a single digit or switching two digits. The following method is used to verify actual credit card numbers but, for simplicity, we will describe it for numbers with 8 digits instead of 16:• Starting from the rightmost digit, form the sum of every other digit. For example, if thecredit card number is 4358 9795, then you form the sum 5 + 7 + 8 + 3 = 23.• Double each of the digits that were not included in the preceding step. Add all digits ofthe resulting numbers. For example, with the number given above, doubling the digits,starting with the next-to-last one, yields 18 18 10 8. Adding all digits in these valuesyields 1 + 8 + 1 + 8 + 1 + 0 + 8 = 27.• Add the sums of the two preceding steps. If the last digit of the result is 0, the number isvalid. In our case, 23 + 27 = 50, so the number is valid.Write a program that implements this…CODING LANGUAGE: R (similar to python) R is a programming language for statistical computing and graphics supported by the R Core Team and the R Foundation for Statistical Computing. The Behdel TestThe Bechdel test asks whether a work of fiction features at least two women who talk to each otherabout something other than a man, and there must be two women named characters.In this mini analysis we work with the data used in the FiveThirtyEight story titled:"The Dollar-And-Cents Case Against Hollywood's Exclusion of Women"https://fivethirtyeight.com/features/the-dollar-and-cents-case-against-hollywoods-exclusion-of-women/Start with loading the packages: fivethirtyeight, tidyverse1. What information does this dataset contain? What commands did you use to see this?For our purposes of analysis we will focus our analysis on movies released between 1990 and 2013.bechdel90_13 <- bechdel %>%filter(between(year, 1990, 2013))2. How many movies are in our filtered data set?The…
- Q1: Research Groups In response to popular demand, Dan’s established two research groups A and B composed of his n graduate students. Each of these students is a member of exactly one of the two groups at any given time. The students are numbered from 1 to n in some arbitrary order. To measure the success of his research groups, Dan assigns a citation score to each of them. Initially, both groups have citation score 0. Throughout the semester, events of the following two types happen: Student x publishes a paper in which they cite student y’s work (youcan assume all of the students have been around long enough to have prior research that can be cited). As a result, If x and y are in the same group, their group’s citation score increases by 1. If x and y are in different groups, y’s group’s citation score increases by 5. Dan changes student x’s group (from A to B or from B to A) to have them work on different projects. To assess the overall success of the research groups, Dan…C Programming Language (Code With C Programming Language) Problem Title : Visible Trees There is a legend about a magical park with N × N trees. The trees are positioned in a square grid with N rows (numbered from 1 to N from north to south) and N columns (numbered from 1 to N from west to east). The height (in metres) of each tree is an integer between 1 and N × N, inclusive. Magically, the height of all trees is unique. Bunga is standing on the northmost point of the park and wants to count the number of visible trees for each Column. Similarly, Lestari is standing on the westmost point of the park and wants to count the number of visible trees for each Row. A tree X is visible if all other trees in front of the tree X are shorter than the tree X. For example, let N = 3 and the height (in metres) of the trees are as follows6 1 87 5 32 9 4 On the first column, Bunga can see two trees, as the tree on the third row is obstructed by the other trees. On the second column, Bunga can see…Flag question Let A = {1, 2, 3, 4, 5, 6, 7} Let B = {3, 4, 5, 6, 7, 8, 9} Let X = 13 Let X=X+|An B| Let X=X+|A U B| What is the mystery number X? Answer: