Devise a JavaFX GUI with an internal controller class to maintain an array of arbitrary size. Use a starting default of size $20$ and populate it with random data $($numbers$)$ initialized into the array. The GUI should be such that users can select and perform the actions listed below. Write methods and select appropriate GUI mechanisms to do the following:

Display the contents of the array

Add a$,$ or a group of numbers to the array at any position.

Delete a number from the array at any position.

Sort the array and display the original and sorted forms.

Display the size of the array.

Search for a number and its occurrences in the array and flag that number$$s position$($s$)$ by highlighting it in the display.

java