FJ's cows would like to be able to compute integer powers P (1 <= P <=
20,000) of numbers very quickly, but need your help.  Because they're going to be 
computing powers of very large numbers, they can only keep around two work variables 
for intermediate results.

The first of those work variables is initialized to the number (denoted x) for which 
they are calculating the power; the other is initialized to 1. The cows can both 
multiply and divide any pair of the work variables and store the result in any work 
variable, but all results are stored as integers.

For example, if they want to compute x^31, one way to perform the calculation is:

                                              WV1  WV2
                                      Start:   x    1
   Multiply first by first, store in second:   x   x^2
                  Multiply second by second:   x   x^4
                  Multiply second by second:   x   x^8
                  Multiply second by second:   x   x^16
                  Multiply second by second:   x   x^32
                     Divide second by first:   x   x^31

Thus, x^31 can computed in six operations.  Given the power to be computed and the 
the number of work variables, find the minimum number of operations to calculate the power.

INPUT FORMAT:

Each testcase is a single line with one integer: P.
Input is terminated by end-of-file.

SAMPLE INPUT:

31

OUTPUT FORMAT:

For each testcase:

A single line with a single integer that is the minimum number of operations it 
requires to compute the power.

SAMPLE OUTPUT:

6