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

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.

Examples

Input

11 2

Output

4

Input

1010101 10

Output

7

Input

314159265 3

Output

18

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