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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.
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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.T=63, n=12 and A=(3,5,8,8,9,16,29,41,50,63,64,67). Draw the corresponding walkthrough as showncircle Ex. / trace the algorithm that uses the polar representation to generate eight points of the circle centered at (300,150) with a radius of 5 units.
- 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.…8. Lo Shu Magic Square The Lo Shu Magic Square is a grid with 3 rows and 3 columns shown in Figure 7-19 Q. The Lo Shu Magic Square has the following properties: Figure 7-19 Lo Shu Magic Square 9 2 4 3 5 7 8 1 • The grid contains the numbers 1 through 9 exactly. • The sum of each row, each column, and each diagonal all add up to the same number. This is shown in Figure 7-20 D. Figure 7-20 Sums of the rows, columns, and diagonals 15 4 +15 7 +15 8 1 6 +15 15 15 15 15 In a program, you can simulate a magic square using a two-dimensional array. Write a function that accepts a two-dimensional array as an argument, and determines whether the array is a Lo Shu Magic Square. Test the function in a program.Question 17 W The following grid contains a robot represented as a triangle, which is initially facing right.
- * Question Completion Status: A Moving to another question will save this response. Question 9 Given the function F(X,Y,Z) =XZ + Z(X'+ XY), the equivalent, most simplified Boolean representation for F is O a. Z+XYZ O b.XZ O c. Z O d.Z+YZ A Moving to another question will save this response. مشمس 36°CCelebrity problem A celebrity among a group of n people is a person who knows nobody but is known by everybody else. The task is to identify a celebrity by only asking questions to people of the form: ”Do you know him/her?” Solution Select two people from the group given, say, A and B, and ask A whether A knows B. If A knows B, remove A from the remaining people who can be a celebrity; if A doesn’t know B, remove B from this group. Solve the problem recursively for the remaining group of people who can be a celebrity Which design strategy does the following solution use? A-)Decrease-by-a-constant factor algorithm B-)Variable-size-decrease algorithm C-)Decrease-by-a-constant algorithm D-)Divide-and-ConquerIntroduction Some number of teams are participating in a race. You are not told how many teams are participating but you do know that: Each team has a name, which is one of the uppercase letters A-Z. No two teams have the same name, so there are a maximum number of 26 teams. Each team has the same number of members. No two runners cross the finish line at the same time – i.e. there are no ties. At the end of the race we can write the results as a string of characters indicating the order in which runners crossed the finish line. For example: ZZAZAA We can see there were two teams: A and Z. Team A’s runners finished in 3rd, 5th and 6th place. Team Z’s runners finished in 1st, 2nd and 4th place. Scoring the race Each runner is assigned a score equal to their finishing place. In the example above team Z’s runners achieved scores of 1, 2 and 4. Team A’s runners scores were 3, 5, and 6 respectively. The team’s score is the sum of the members score divided by the number of people on…
- ID: A Name: ID: A 6. There are 32 students standing in a classroom. Two different algorithms are given for finding the average height of the students. Algorithm A Step 1: All students stand. gniwolldi odT gaihnel vd Step 2: A randomly selected student writes his or her height on a card and is seated. Step 3: A randomly selected standing student adds his or her height to the value on the card, records the new value on the card, and is seated. The previous value on the card is erased. Step 4: Repeat step 3 until no students remain standing. Step 5: The sum on the card is divided by 32. The result is given to the teacher. Algorithm B Step 1: All students stand. Step 2: Each student is given a card. Each student writes his or her height on the card. Step 3: Standing students form random pairs at the same time. Each pair adds the numbers written on their cards and writes the result on one student's card; the other student is seated. The previous value on the card is erased. Step 4: Repeat…Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128. Draw a flow chart of perfect number.Birthday party At Lili's birthday party, there was a game arranged by Jojo as the host. That game is to distribute Y number of candy to X number of people where all the candy tastes sweet except for one last candy which tasted like rotten nuts. Candy distribution will be sequentially starting from position Z and if past the last position then the distribution of candy continues to the first position. Write down the person in which position will get the last candy. Input FormatThe first line of input is T, which is the number of test cases.The second row and the next number of T rows are X, Y, Z.X is the number of people to whom the candy will be distributed.Y is the number of candy available.Z is the starting position of the person to whom the candy will be distributed. Output FormatA string “Case #N: “ and a number representing the position of the person who got the last candy. Constraints1 ≤ T ≤ 1001 ≤ X, Y ≤ 1031 ≤ Z ≤ X Sample Input 43 4 13 5 24 2 24 5 2 Sample OutputCase #1: 1Case…