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;
using System.Collections.Generic;
using System.Linq;
using System.Text;

class Program
{
    public static long count;
    static void Main(string[] args)
    {
        int[] arr = Console.ReadLine().Split(' ').Select(a => int.Parse(a)).ToArray();
        int n = arr[0];
        int k = arr[1];
        int value = 1;
        int ans = 0;
        while(value <= n)
        {
            value *= k;
            ans++;
        }
        Console.WriteLine(ans);
    }

  

}