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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Scanner;

public class Main {

	public static int N;
	public static int K;

	public static void main(String[] args) {
		init();
		int ans = 0;
		while (N > 0) {
			ans++;
			N /= K;
		}
		System.out.println(ans);
	}

	public static void init() {
		Scanner sc = new Scanner(System.in);
		try {
			N = sc.nextInt();
			K = sc.nextInt();
		} catch (Exception e) {
			e.printStackTrace();
		}
	}
}