Problem:
Score : 300 points

Problem Statement

To make it difficult to withdraw money, a certain bank allows its customers to withdraw only one of the following amounts in one operation:

1 yen (the currency of Japan)

6 yen, 6^2(=36) yen, 6^3(=216) yen, ...

9 yen, 9^2(=81) yen, 9^3(=729) yen, ...

At least how many operations are required to withdraw exactly N yen in total?

It is not allowed to re-deposit the money you withdrew.

Constraints

1 \leq N \leq 100000

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If at least x operations are required to withdraw exactly N yen in total, print x.

Sample Input 1

127

Sample Output 1

4

By withdrawing 1 yen, 9 yen, 36(=6^2) yen and 81(=9^2) yen, we can withdraw 127 yen in four operations.

Sample Input 2

3

Sample Output 2

3

By withdrawing 1 yen three times, we can withdraw 3 yen in three operations.

Sample Input 3

44852

Sample Output 3

16

Solution in Kotlin (1.0.0) (judge verdict: Accepted)

fun main(args: Array<String>) {
    var N= nextInt()
    val dp = IntArray(N + 1) { 1000000007 }
    dp[0] = 0
    for (n in 1 .. N) {
        var power = 1
        while (power <= n) {
            dp[n] = Math.min(dp[n], dp[n - power] + 1)
            power *= 6
        }
    }
    for (n in 1 .. N) {
        var power = 1
        while (power <= n) {
            dp[n] = Math.min(dp[n], dp[n - power] + 1)
            power *= 9
        }
    }
    println(dp[N])
}
fun next() = readLine()!!
fun nextInt() = next().toInt()
fun listOfString() = next().split(" ")
fun listOfInt() = listOfString().map { Integer.parseInt(it) }
fun listOfLong() = listOfString().map { java.lang.Long.parseLong(it) }