I need implementation of this problem using ADT List. It should have at least 3 modules( classes). Help me please! A math teacher needs a program in order to help students to test different properties of numbers. The

program manages a list of numbers and also allows students to repeatedly execute the following

functionalities (each functionality is exemplified):

1. Add numbers into the list.

a. add 123 – adds 123 at the end of the list

b. insert 123 at 1 – insert number 123 at position 1 in the list; positions are numbered from 0.

2. Modify elements from the list.

a. remove 1 – removes the element at position 1.

b. remove from 1 to 3 – removes the elements at positions 1,2, and 3.

c. replace 1 3 5 with 5 3 – replaces all the occurrences of sublist 1 3 5 with the sublist 5 3.

3. Write the numbers having different properties.

a. prime from 1 to 5 – writes the prime numbers between position 1 and 5 in the list.

b. odd from 1 to 5 – writes the odd numbers between position 1 and 5 in the list.

4. Obtain different characteristics of sublists.

a. sum from 1 to 5 – writes the sum numbers between position 1 and 5 in the list.

b. gcd from 1 to 5 - writes the greatest common divisor of elements between position 1 and

5 in the list.

c. max from 1 to 5 – writes the greater element of the sublist from position 1 to 5.

5. Filter.

a. filter prime – retains only the prime numbers.

b. filter negative –retains only the negative numbers.

6. Undo the last operation.

a. undo – the last operation that has modified the list of numbers is cancelled.

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