In an ancient land, the beautiful princess Eve had many suitors. She decided on the following procedure to determine which suitor she would marry. First, all of the suitors would be lined up one after the other and assigned numbers. The first suitor would be number 1, the second number 2, and so on up to the last suitor, number n. Starting at the first suitor she would then count three suitors down the line and the third suitor would be eliminated from winning her hand and removed from the line. Eve would then continue, counting three more suitors, and eliminating every third suitor. When she reached the end of the line she would continue counting from the beginning.
For example, if there were 6 suitors then the elimination process would proceed as follows:
123456 initial list of suitors, start counting from 1
12456 suitor 3 eliminated, continue counting from 4
1245 suitor 6 eliminated, continue counting from 1
125 suitor 4 eliminated, continue counting from 5
15 suitor 2 eliminated, continue counting from 5
1 suitor 5 eliminated, 1 is the lucky winner
Write a program that creates a circular linked list of nodes to determine which position you should stand in to marry the princess if there are n suitors. Write a class, suitorNode, to be used to define your node type. Your program should simulate the elimination process by deleting the node that corresponds to the suitor that is eliminated for each step in the process. Your program should also implement the necessary error checks. Be careful that you do not leave any memory leaks.
Hint: Consider the possibility that you may need to delete the "head" node in the list.