Given any permutation of the numbers {0, 1, 2,..., N-1}, it is easy to
sort them in increasing order. But what if Swap(0, *) is the ONLY
operation that is allowed to use? For example, to sort {4, 0, 2, 1, 3}
we may apply the swap operations in the following way:
Swap(0, 1) => {4, 1, 2, 0, 3}
Swap(0, 3) => {4, 1, 2, 3, 0}
Swap(0, 4) => {0, 1, 2, 3, 4}
Now you are asked to find the minimum number of swaps need to sort the
given permutation of the first N nonnegative integers.