Write a java code to accept an integer array of user-defined length from the user. Then write methods to take care of the following tasks. Check your methods in the main method of your program (3 points). A method that finds the sum of the maximum value and the minimum value among all the elements of the array. (3 points)
Example: 10 15 4 19 2 12
The maximum value is 19 and the minimum value is 2. So the output should be 21.
A method that finds the largest gap between any two elements of the array. (4 points)
Example: 3 6 7 10
The largest gap can be found between 3 and 10 which is 10 - 3 = 7, hence the output 7.
A method that finds the Length of the Longest Arithmetic Progression in it. (5 points)
Example: 1 7 10 15 27 29
The Longest Arithmetic Progression in the array is {1, 15, 29}, and its length is 3, hence the out

This assignment continues work on the online booking facility introduced at the end of chapter- 10. the work will be continued in the assignments for chapters 14 and 15 (a) assume that you will produce your online booking facility using an agile approach. i. suggest the kind of user research you would like to conduct for your product before iteration cycles begin. ii prioritize the requirements for your product according to business value, i.e which requirements are likely to provide the greatest business benefit, and sketch out the ux design work you would expect to undertake during the first four iteration cycles, i.e. cycle 0, and cycles 1 to 3. (b) using one of the mockup tools introduced above, generate a mockup of your product's landing page, as developed in the assignment for chapter-11 (c) using one of the patterns websites listed previously, identify suitable interaction patterns for elements of your product, and develop a software-based prototype that incorporates all the feedback and the results of the user experience mapping achieved at the end of chapter-11. if you do not have experience in using any of these, create a few html web pages to represent the basic structure of your website