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 C (GCC 5.4.1) (judge verdict: Accepted)

#include<stdio.h>

int b,n,d=0;


int main(){������
	scanf("%d %d",&n,&b);
	loop:
		n=n/b;
		d++;
		if (n==0){
			printf("%d",d);
			return 0;
		}
		if (n<b){
			d++;
			printf("%d",d);
			return 0;
		}
	goto loop;
	return 0;
}