- Time limit: 1.00 s
- Memory limit: 512 MB
Your task is to count the number of one bits in the binary representations of integers between 1 and n.
Input
The only input line has an integer n.
Output
Print the number of one bits in the binary representations of integers between 1 and n.
Constraints
- 1 \le n \le 10^{15}
Example
Input:
7
Output:
12
Explanation: The binary representations of 1 \ldots 7 are 1, 10, 11, 100, 101, 110, and 111, so there are a total of 12 one bits.