Problem Statement

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

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.

Constraints

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

Sample Input 1

11 2

Sample Output 1

4

In binary, 11 is represented as 1011.

Sample Input 2

1010101 10

Sample Output 2

7

Sample Input 3

314159265 3

Sample Output 3

18

见题面 Input 部分

见题面 Output 部分