Find the number of Ludic numbers less than or equal to $N$.

Input

The first line contains an integer $N$ ($1 \le N \le 10^{11}$).

Output

Output the number of Ludic numbers less than or equal to $N$.

Example

Input:
100000000000
Output:
3603128157

Note

• See LUDIC1 for an easier version.
• Other references for the Ludic numbers: Ludic numbers or A003309.