Problem G: Moliu Number Generator --------------------------------- Let's play a number game. We start with N equal to 0, and we want to make N equal to a given integer S. Only three types of operations are allowed: 1. INC : increment N by 1, i.e. N = N + 1 2. DEC : decrement N by 1, i.e. N = N - 1 3. DBL : double N, i.e. N = 2 * N Of course we want to make N equal to S with the minimum number of operations. Consider an example: Let S = 7. Then only 5 steps are required, for instance: 1. INC : N = 0 + 1 = 1 2. INC : N = 1 + 1 = 2 3. DBL : N = 2 * 2 = 4 4. DBL : N = 2 * 4 = 8 5. DEC : N = 8 - 1 = 7 Input ----- The input contains no more than 200 lines. Each line contains one integer S (0 <= S <= 2^31). The input is terminated by -1. This last line need not be processed. Output ------ For each S, output the minimum number of operations required to make N = S. You may assume that N is of infinite precision, so NO overflow will ever occur. Sample Input ------------ 7 -1 Sample Output ------------- 5