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 PHP7 (7.0.15) (judge verdict: Accepted)

<?php
  $tmp = explode(" ", trim(fgets(STDIN)));

  $num = $tmp[0];
  $base = $tmp[1];

  $count = 0;
  while($num>0){
    $count++;
    $num = floor($num/$base);
  }

  echo $count."\n";