• 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.