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: Runtime Error)

#include<stdio.h>
int main()
{
  int N;
  int K;
  char array[10];
  int i;
  scanf("%d %d", &N, &K);
  if ((N >= 1 && N <= 1000000000) && (K >= 2 && K <= 10))
  {
    i = 0;
    while (N > 0)
    {
      array[i] = N % K + '0';
      N = N / K;
      i++;
    }
    array[i] = '\0';
    i = 0;
    while(array[i])
      i++;
    printf("%d",i);
  }
}