Write a program that uses the singly linked list object covered in class to implement the ordered sets data structure for values between $25$ and $35.$ I have provided you with resource material $($mathsisfun$.$com$)$ to illustrate set theory. Each line corresponds to the sets you are to create. The additional member function that you will implement are listed below. Implement fault tolerance $($error handling$)$ as you write you program.

Note: To prove that any member function works, you must print the set prior to and after the actions of the subprogram. New sets must be printed to show that they have been created.

$$ Create a set called S$,$ M$,$ N$,$ A$,$ B$,$ C$,$ D$,$ P$1,$ P$2,$ R$.$ Fill them with values from the file

$$ Print the contents of each set

$$ Search a set for the values $40,29,$ and $48$ in set R$.$ Print the ith node where the value was found and a message indicating the number is not in the list.

$$ Find the number of elements in a given set, S

$$ Destroy set R

$$ Determine whether sets M and N are equal

$$ Find the intersection of sets A and B$.$ Name the intersection set intersect

$$ Find the union of sets C and D$.$ Name the union set uni

$$ Find the maximum value in set uni. The maximum value is returned.

$$ Add the value $79$ to set D

$$ Remove the first element from the set M

$$ Remove the last element from the set B

$$ Find the relative difference between set A and S$.$ Name the difference set diff

$$ Find the cross product of two set P$1$ and P$2.$ They must have the same number of elements $($be of the same order$).$ Name the cross$-$product set CP