You are given a set with n distinct numbers of 1 to n, and your task is to calculate the number of maximum subsets with the following properties:
no two elements in the subset should be adjacent
it shouldn't be possible to add numbers to the subset without violating the first condition
For example, if n = 5, the number of maximum subsets which fulfill the above conditions is 4. The subsets are {1,3,5},{2,4},{2,5},{1,4}.