i$.$ Modify the dimension attributes of the Rectangle 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.