A Java interface can only contain method signatures and fields, similar to an abstract class with only purely virtual methods in C$++.$ The interface can be used to achieve polymorphism. In this problem, you will practice your knowledge of interfaces.

You are given an interface AdvancedArithmetic which contains method signatures like int divisorSum$($int n$).$ You need to finish writing a class called AdvancedCalculator which implements said interface.

Read the partially completed code and the JavaDoc comments explaining each method and complete it$.$ You just need to finish writing the AdvancedCalculator class only.

Hint: Use the Java API documentation to know how to use ArrayLists in Java

Test cases:

For all test cases assume we have testValues $=[4020,4035,4010,4015]$ and c $=$ AdvancedCalculator$($ testValues $)$;

Test$1$: divisorSum returns correct output for each value in testValues.

Test$2$: primeFactors returns correct output for each value in testValues.

Test$3$: isPrime returns correct output for each value in testValues and for values $2,13,23,$ and $53.$

Test$4$: fibonacci returns correct output for $40,20,10,$ and $15.$