Counting Bits

• 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.