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: Wrong Answer)

#include <stdio.h>
int main(){
    int n,k,pot,i=1,basek,count=0;
    scanf("%d%d",&n,&k);
    while(n!=0){
        pot=n%k;
        n=n/k;
        basek=basek+(pot*i);
        i*=10;
    }
    for(i=0;basek!=0;i++){
        basek/=10;
        count++;
    }
    printf("%d",count);
    return 0;
}