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 (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

var stdInScanner = bufio.NewScanner(os.Stdin)

func nextInt() int {
	stdInScanner.Scan()
	i, _ := strconv.Atoi(stdInScanner.Text())
	return i
}

func main() {
	stdInScanner.Split(bufio.ScanWords)

	N := nextInt()
	K := nextInt()

	fmt.Println(len(strconv.FormatInt(int64(N), K)))
}