The Josephus Challenge is to find the position that is the last remaining when every Kth item is removed from a list of N items. The removal wraps from the end to the start.
Input: N, K where N is the number of players and K is the removal period.
Output: S the last position remaining
Example: N=4 K=2 produces the sequence
1 2 3 4; 1 3 4; 1 3; 1
This is a replication of Decimation by James but has a different Historical story reference.