Write the FULL Java code for the following Gym class.

It represents Gyms, which are described by the equipment they have. This is a concrete class. It

will have:

The following instance variables: freeWeights $($FreeWeight$[]),$ weightMachines

$($WeightMachine$[]).$

Note that it's possible to have an array with a component type that is an

abstract class. We will explore this more in L$15,$ but the idea is that in

freeWeights one can assign a Barbell or a Dumbbell to any of its elements.

A $2-$arg constructor that receives the two variables $($in the same order$).$ It will assign the

received array to the instances and will also sort the array.

Don't write your own sorting implementation in this HW$.$ Stick to Java's built$-$in

sorting.

A $0-$arg constructor that creates a gym with no equipment $($empty arrays$).$ Make sure to

instantiate new arrays of length $0$ instead of keeping a default copy.

A void browseGymEquipment$()$ method. It will print the String representation of all

the equipment in the gym in order, each in its own line. The "free weight" equipment

will go before the weight machines

A void addEquipment$($FreeWeight$)$ method that adds a new FreeWeight $($which

could be a Barbell or a Dumbbell$)$ to freeWeights. This method should ensure that

the new array is in the natural ordering of the elements. Don't modify the old array.

The easiest way to implement this is in $O(nlogn),$ and that is a valid solution.

We invite you to think if there are any implementations with lower runtime

complexity, and if so$,$ implement them $($but we recommend focusing on the

basic implementation $-$ you can do this after being done with your submissions$).$

A void addEquipment$($WeightMachine$)$ method that adds a new WeightMachine

to weightMachines. This is an overload of the previous addEquipment method, and

like it$,$ it should ensure the new array is sorted, and the same note regarding the

runtime complexity applies.

A FreeWeight getFreeWeight$($String$)$ method that returns a FreeWeight

$($could be a Barbell or a Dumbbell$)$ if the parameter matches any of the IDs of the

FreeWeight in the gym, and null otherwise.

A WeightMachine getWeightMachine$($String$)$ method that behaves the same as

the one above but for weight machines.

An int getEquipmentCount$()$ method that returns the equipment count $($sum of

the number of "free weights" and weight machines$)$