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 abc(n,m):
    a,b = divmod(n,m)
    return a,b

count = 0 
a = 1
while a !=0 :
    a,b = abc(N,K)

    N = a
    count += 1
print(count)