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 Scala (2.11.7) (judge verdict: Wrong Answer)

object Main extends App {
  val nkInput =  scala.io.StdIn.readLine()
  val nkArray = nkInput.split(" ").map(_.toInt).toSeq
  val n = nkArray(0).toDouble
  val k = nkArray(1).toDouble
  val log = Math.log(n) / Math.log(k)
  println(Math.ceil(log).toInt)

}