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 Common Lisp (SBCL 1.1.14) (judge verdict: Wrong Answer)

(let ((n (read))
      (a '())
      (ans 0))
  (loop for i from 1 while (<= (expt 6 i) n) do
        (setf a (append a (list (expt 6 i) (expt 9 i)))))
  (setf a (sort (copy-list a) #'>))
  (loop for i in a do
        (if (<= i n) (progn (incf ans (floor (/ n i)))
                           (setf n (rem n i)))))
  (format t "~A~%" (+ ans n)))