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 Ruby (2.3.3) (judge verdict: Wrong Answer)

n = gets.to_i
if n < 6
  puts n
  exit
end
amari = n%3
n -= amari
ans = 100000
for i in 0..n/6
  temp = 0
  k = 6*i
  while k != 0
    (Math.log(k,6).floor.to_i).downto(1) do |j|
      temp += k/(6**j)
      k = k%(6**j)
    end
  end
  m = n-6*i
  if m%9 == 0
    while m != 0
      (Math.log(m,9).floor.to_i).downto(1) do |j|
        temp += m/(9**j)
        m = m%(9**j)
      end
    end
    ans = [ans,temp].min
  end
end
puts ans+amari