Problem:
Score : 200 points

Problem Statement

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

Notes

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.

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

Solution in Python (3.8.2) (judge verdict: Accepted)

n, k = map(int, input().split())


def base_10_to_n(X, n):
    if (int(X/n)):
        return base_10_to_n(int(X/n), n)+str(X%n)
    return str(X%n)

rslt = base_10_to_n(n, k)

print(len(rslt))