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 Go (1.6) (judge verdict: Accepted)

package main

import "fmt"

func main() {
	var n, k int
	fmt.Scan(&n, &k)

	res := 0
	for i := 0; n > 0; i++ {
		res++
		n = n / k
	}

	fmt.Println(res)
}