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: Wrong Answer)

using System;
using System.IO;

namespace Kyopuro1ads
{
    class Program
    {
        static void Main(string[] args)
        {

            var sw = new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);

            string[] str = Console.ReadLine().Split(' ');
          
            int N = int.Parse(str[0]);
            int K = int.Parse(str[1]);


            Console.WriteLine((int)Math.Ceiling(Math.Log(N+1,K)));


            //  int N = int.Parse(Console.ReadLine());
            //  string[] str = Console.ReadLine().Split(' ');
            //  int i;
            //  int[] num = new int[N];
            //
            //  for (i = 0; i < N; i++)
            //  {
            //      num[i] = int.Parse(str[i]);
            //  }


            Console.Out.Flush();
        }





    }


}