Consider the segment, at the end of which the ones are written. Then till infinity we shall do the next procedure: for each segment with ends a and b (inside which the numbers are absent) we shall write in the middle the number a + b. So from the starting segment

we get

Then we get the segment

and so on till infinity. How many times the positive integer n will be written on a segment?

Input

One positive integer n (n ≤ 1013).

Output

The number of times the number n appears on a segment.