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 PyPy3 (7.3.0) (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)


ans = base_10_to_n(N, K)
print(len(str(ans)))