$(20$ pts$)$ Suppose someone wants to produce a menu prompt on$-5$creen cartography $($map$-$making$)$ application that prints the five lines below: The main menu has three available options:

Press the $"N"$ key to create a new map.

Press the $"l"$ key to load an existing map.

Press the $"Q"$ key to quit the application.

The default map storage directory is "CiMyMaps"

Create the above menu prompt using a single System.out.printlin statement.

$(40$ pts$)$ The following changes deal with the Rectangle class from Week $2$ material, available via BlackBoard under "Chapter $2$ Code" in "Supplementary$/$Misc$."$ Each part is worth $10$ points.

i$.$ Modify the dimension attributes of the Rectangie class to properly handle the double datatype instead of simple integers.

ii$.$ Modify the Rectangle class to permit construction of rectangles using zero input arguments $($in which case both height and width are set to $1)$ or one input argument $($in which case the height is set to the input value, and the width is set to be $1).$ Hint you will need to employ overloading.

iii. Modify the Rectangle class to have method double PrintMaxSide$().$ which returns $($not prints!$)$ the largest available dimension between the height and width $($i$.$e$.$ if the height is larger, it should be returned, if the width is larger, it should be returned instead$)$

iv$.$ Modify the Rectangle class to have method void IsValid$()$ which either i$.$ prints This is a valid rectangle." If height and width are both positive or ii$.$ prints "This is not a valid rectangle." if either height or width is $0$ or negative.

Note: parts iii and iv will almost certainly require if statements.

$(40$ pts$)$ This problem deals with reading input from the kevboard and files and applying simple arithmetic calculations. Create class Product Cumulator with the i$.$ void Product fromkeyboard$()$: