Problem Statement

Given is an integer $N$. Find the number of digits that $N$ has in base $K$.

Note

For information on base-$K$ representation, see Positional notation - Wikipedia.

Constraints

• All values in input are integers.
• $1 \leq N \leq 10^9$
• $2 \leq K \leq 10$

Input

Input is given from Standard Input in the following format:

N K

Output

Print the number of digits that $N$ has in base $K$.