Bully’s eye pattern Program plan: Include necessary header files. Declare the class “BullEye” that extends application class. Declare required constant variables. Define the “main()” function. Launch the application. Override the “start ()” method. Create a group, scene, canvas and graphics context. Declare required variables. Set the values for “x_Center”, “y_Center”, and “diameter”. Loop from 0 through total number of circles. Switch to the case (i % 3). If the value is 0, Draw a stroke in red color. Break the case. If the value is 1, Draw a stroke in green color. Break the case. If the value is 2, Draw a stroke in blue color. Break the case. Draw a circle. Update the value of “x_Center” and “diameter”. Add the canvas. Set the title. Add the scene to the stage and display it.

Question

Design a dynamic programming algorithm for the Longest Alternating Subsequence problem described below: Input: A sequence of n integers Output: The length of the longest subsequence where the numbers alternate between being larger and smaller than their predecessor The algorithm must take O(n²) time. You must also write and explain the recurrence. Example 1: Input: [3, 5, 4, 1, 3, 6, 5, 7, 3, 4] Output: 8 ([3, 5, 4, 6, 5, 7, 3, 4]) Example 2: Input: [4,7,2,5,8, 3, 8, 0, 4, 7, 8] Output: 8 ([4, 7, 2, 5, 3, 8, 0,4]) (Take your time with this for the subproblem for this one)

Answer 1

Question

Chapter 4, Problem 13PP

Program Plan Intro

Bully’s eye pattern

Program plan:

Include necessary header files.

Declare the class “BullEye” that extends application class.

Declare required constant variables.

Define the “main()” function.

Launch the application.

Override the “start ()” method.

Create a group, scene, canvas and graphics context.

Declare required variables.

Set the values for “x_Center”, “y_Center”, and “diameter”.

Loop from 0 through total number of circles.

Switch to the case (i % 3).

If the value is 0,

Draw a stroke in red color.

Break the case.

If the value is 1,

Draw a stroke in green color.

Break the case.

If the value is 2,

Draw a stroke in blue color.

Break the case.

Draw a circle.

Update the value of “x_Center” and “diameter”.

Add the canvas.

Set the title.

Add the scene to the stage and display it.

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