Code an interface called CanCalculate. Your interface must contain the following method signature

int factorial$($int n$)$;

Code a class Calculator that implements the interface. It must use iteration to compute factorial$($n$)$

Code a tester class for class IterativeCalculator, call it IterativeTester. The tester must declare a variable of type CanCalculate and assign it a reference to an object of type IterativeCalculator, and then enter a loop that computes the factorials of the integers ranging between $1$ and $10.$

CanCalculate myCalc $=$ new IterativeCalculator$()$;

for $($int i $=2$; i $<=10$; i$++)$ myCalc.factorial$($i$)$;

Code a class RecursiveCalculator that implements interface CanCaculate. It must use recursion to compute factorial$($n$)$

Code another tester class, call it RecursiveTester. It must declare a variable of type CanCalculate and assign it a reference to an object of type RecursiveCalculator, and then enter a loop that computes the factorials of the integers ranging between $1$ and $10.$

CanCalculate myCalc $=$ new RecursiveCalculator$()$;

for $($int i $=2$; i $<=10$; i$++)$ myCalc.factorial$($i$)$;

Rubric

$(4$ points$)$ Interface CanCalculate:

Has the required method signature.

$(4$ points$)$ IterativeCalculator class

Implements interface CanCalculate.

Has the required, correct concrete iterative implementation of factorial$().$

$(4$ points$)$ RecursiveCalculator class

Implements interface CanCalculate.

Has the required, correct concrete recursive implementation of factorial$().$

$(4$ points$)$ IterativeTester class

Has the requires variable declaration, object instantiation and for loop.

$(4$ points$)$ RecursiveTester class

Has the required variable declaration, object instantiation and for loop