Description

Calculate $\lfloor\lg n\rfloor$.

Input

A positive integer $n$.

Output

A non-negative integer representing the value of $\lfloor\lg n\rfloor$.

Samples

2940514964

9

Tips

$0<n<10^{10^8}$.

$\lg n=\log _{10} n$.

In this problem, there is NOT a linefeed at the end of the input file.