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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
 
namespace Sample
{
  class Sample
  {
    static void Main(string[] args)
    {
    string[] input =Console.ReadLine().Split(' ');
      int A=int.Parse(input[0]);
      int K=int.Parse(input[1]);
      int ans=1;
      while((A/K)>0){
        ans++;
        A=(A/K);
      }
	
      Console.WriteLine(ans);
  }

}
}