Data Structure in Java

Circular linked list game

In an ancient land, a King had many prisoners. He decided on the following procedure to determine which prisoner to grand freedom. First, all of the prisoners would be lined up one after the other and assigned numbers. The first prisoner would be number 1, the second number 2, and so on up to the last prisoner, number n .

Starting at the prisoner in the first position, he would then count k prisoners down the line, and the kth prisoner would be eliminated from winning her/his freedom removed from the line. The King would then continue, counting k more prisoners, and eliminate every kth prisoner. When he reached the end of the line, he would continue counting from the beginning.

For example, if there were six prisoners, the elimination process would proceed as follows (with step k=2):

1->2->3->4->5->6 Initial list of prisoners; start counting from 1.

1->2->4->5->6 Prisoner 3 eliminated; continue counting from 4.

1->2->4->5 Prisoner 6 eliminated; continue counting from 1.

1->2->5 Prisoner 4 eliminated; continue counting from 5.

2 1->5 Prisoner 2 eliminated; continue counting from 5.

1 Prisoner 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 win your freedom if there are n prisoners. Your program should simulate the elimination process by deleting the node that corresponds to the prisoner that is eliminated for each step in the process.

Create appropriate JUnits to test your program.