A circus is designing a tower routine consisting of people standing atop one another's shoulders. For practical and aesthetic reasons, each person must be both shorter and lighter than the person below him or her. Given the heights and weights of each person in the circus, write a method to compute the largest possible number of people in such a tower.
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A circus is designing a tower routine consisting of people standing atop one another's
shoulders. For practical and aesthetic reasons, each person must be both shorter and lighter than
the person below him or her. Given the heights and weights of each person in the circus, write a
method to compute the largest possible number of people in such a tower.
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- A decreasing sequence of numbers is a sequence of integers where every integer in the sequence is smaller than all other previous integers in that sequence. For example, •35, 16, 7, 2, 0, -3, -9 is a decreasing sequence of numbers. The length of this sequence is 7 (total numbers in the sequence) and the difference of this sequence is 35 - (-9) -44. • 5 is a decreasing sequence of numbers with length 1 and difference 5-5 = 0 •99,-99 is a decreasing sequence of numbers with length 2 and difference 99-(-99) = 198 •17, 23, 11, 8, -5, -3 is not a decreasing sequence of %3D numbers. Write a program that contains a main() function. The main function repeatedly asks the user to enter an integer if the previously entered integers form a decreasing sequence of numbers. This process stops as soon as the latest user input breaks the decreasing sequence. Then your function should print the length and difference of the decreasing sequence. Finally, call the main() function such that the call will be…The Fibonacci sequence is listed below: The first and second numbers both start at 1. After that, each number in the series is the sum of the two preceding numbers. Here is an example: 1, 1, 2, 3, 5, 8, 13, 21, ... If F(n) is the nth value in the sequence, then this definition can be expressed as F(1) = 1 F(2) = 1 F(3) = 2 F(4) = 3 F(5) = 5 F(6) = 8 F(7) = 13 F(8) = 21 F(n) = F(n - 1) + F(n - 2) for n > 2 Example: Given n with a value of 4F(4) = F(4-1) + F(4-2)F(4) = F(3) + F(2)F(4) = 2 + 1F(4) = 3 The value of F at position n is defined using the value of F at two smaller positions. Using the definition of the Fibonacci sequence, determine the value of F(10) by using the formula and the sequence. Show the terms in the Fibonacci sequence and show your work for the formula.5. Given # > 3 points P₁ = (x₁, y₁), …….‚ P₂ = (x₂‹ Yn) in the coordinate plane, design an algorithm to check whether all the points lie within a triangle with its vertices at three of the points given. (You can either design an algorithm from scratch or reduce the problem to another one with a known algorithm.)
- Problem 2: Postman Harry Harry is a postman. He's got a post office with a size of n rows and m columns. Each slot at the post office contains a number of letters. Harry can only go right and down. He starts at (0, 0), and ends at (n-1, m-1). Write a program that calculates the maximum amount of letters Harry can pick up. He can only pick up letters from a slot if he is on that slot. If the amount of letters is the same down and right, go right. Sample input/output: Enter the number of rows and columns: 35 Enter the number of letters in the 5 slots of row number 1: 5 2 60 1 Enter the number of letters in the 5 slots of row number 2: 2 4 3 9 2 Enter the number of letters in the 5 slots of row number 3: 8 72 3 4 The maximum number of letters Harry can pick is 32 solve using c++; (chapter 9: Variables / Assignments)Your objective is to write the solution to the 9 × 9 sudoku puzzle below. You must write in the digits 1 through 9 in each row such that no digit is repeated vertically, horizontally and in each box. In your solution, write each row on itsown line; and for each row, write each digit enclosed in square braces. For instance, if the row is (1, 2, 3, 4, 5, 6, 7, 8, 9), then you would type [1][2][3][4][5][6][7][8][9] for that row.Given any n by n square matrix, write a program that reflects the matrix across its major diagonal. For example, 9,2,2, 1,9,2, becomes 1,1,9 9,1,1, 2,9,1, 2,2,9 Explain how you got your answer.
- Aerospace engineers sometimes compute the trajectories of projectiles such as rockets. A related problem deals with the trajectory of a thrown ball. The trajectory of a thrown by a right fielder is defined by the (x,y) coordinates as displayed in the Figure below. Find the appropriate initial angle θ0 , if v0 = 30m/s, and the distance to the catcher is 90 m. Note that the throw leaves the right fielder’s hand at an elevation of 1.8 m and the catcher receives it at 1 m. Also, you have to write your Matlab code.You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Miles between Adjacent Towns Town A B C DE Destination Origin A 40 60 50 10 70 B 20 55 40 50 10 D 60 E 80 (a) Formulate this problem as a shortest-path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles. (b) Use the Dijkstra's algorithm to solve this shortest path problem.You need to take a trip by car to another town that you have never visited before. Therefore, you are studying a map to determine the shortest route to your destination. Depending on which route you choose, there are five other towns (call them A, B, C, D, E) that you might pass through on the way. The map shows the mileage along each road that directly connects two towns without any intervening towns. These numbers are summarized in the following table, where a dash indicates that there is no road directly connecting these two towns without going through any other towns. Town Origin A B C D E A 40 Miles between Adjacent Towns C D E B 60 10 50 20 - 70 55 - 88811 40 50 10 Destination | | || 88 60 80 (a) Formulate this problem as a shortest-path problem by drawing a network where nodes represent towns, links represent roads, and numbers indicate the length of each link in miles. (b) Use the Dijkstra's algorithm to solve this shortest path problem. Illustrate your work by using a table.…
- Tiling: The precondition to the problem is that you are given threeintegers n, i, j, where i and j are in the range 1 to 2n. You have a 2n by 2n squareboard of squares. You have a sufficient number of tiles each with the shape . Your goalis to place nonoverlapping tiles on the board to cover each of the 2n × 2n tiles except forthe single square at location i, j. Give a recursive algorithm for this problem in whichyou place one tile yourself and then have four friends help you. What is your base case?A fish-finder is a device used by anglers to find fish in a lake. If the fish-finder finds a fish, it will sound an alarm. It uses depth readings to determine whether to sound an alarm. For our purposes, the fish-finder will decide that a fish is swimming past if:there are four consecutive depth readings which form a strictly increasing sequence (such as 3 4 7 9) (which we will call "Fish Rising"), orthere are four consecutive depth readings which form a strictly decreasing sequence (such as 9 6 5 2) (which we will call "Fish Diving"), orthere are four consecutive depth readings which are identical (which we will call "Constant Depth").All other readings will be considered random noise or debris, which we will call "No Fish."Create a Python program called "fishfinder_firstname_lastname" that takes 1 input of string of 4 numbers separated with comma. Your program must display "Fish Rising", "Fish Diving.", "Fish At Constant Depth" or "No Fish".Example:30,10,20,20 Must display No…python if we put a grid on the surface of Earth with a grid spacing of dx and dy in the longitude and latitude directions, respectively, the grid area (approximated as dx*dy) varies with latitude. Explain why that is.