The code for a class sa$11$oons has been started below. salloons depends on the class sa$11$ discussed in the previous question.

A complete class ea$11$ is provided within the testing environment, so you should not add sall to the answer box below.

Follow the links below to find the specifications of a constructor and two further methods that you should add to the code already given.

$($a$)$ Balloons: public balloons$()$

Constructor for objects of class balloons. Initilises balloons to a suitable collection type.

$($b$)$ categoriseBalloons: publc SortedMap$>$ categoriseBalloons$()$

Creates and returns a sorted map view of balloons. The keys are three categories of balloon $($ in alphabetical order$)$

Large $($ diameter greater than $10)$

Medium $($ diamater between $5$ and $10($inclusive$))$

Small $($ diameter less than $5)$

Each of the associated values is a collection of ball objects that have diameters in the specified ranges, sorted by diameter from smalles to largest

Returns: the sorted map

$($c$)$ sumDiameters: public int sumDiameters$($SortedMap$>$ aSortedMap$)$

Sums rhe diameters of all the balloons in the given map. Note that other size categories may be introduced at a later date and this method should continue to work, regardless of the number of keys in the map.

Parameters: aSortedMap$-$ a sorted map from ball sises to sorted sets of balls

Returns: the sum of the diameters of all the balloons in the given map.

Make any other alterations to the Balloons class required to implement the above methods.

$$