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 (3.4.3) (judge verdict: Wrong Answer)

import math

def main():
    strA = input()
    listA = strA.split(" ")

    N = int(listA[0])
    K = int(listA[1])

    x = N
    y = 0
    while(1):
        x = math.floor(x/K)

        y = y + 1
        if(x < K):
            y = y + 1
            break

    print(y)

if __name__ == '__main__':
    main()