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 PHP (5.6.30) (judge verdict: Accepted)

<?php
  list($n, $sinsu) = explode(" ", fgets(STDIN));

  $keta = 1;
  while(1)
  {
    if(floor($n / $sinsu) == 0)
    {
      break;
    }
    $keta++;
    $n = floor($n / $sinsu);
  }
echo $keta;