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 Python (3.4.3) (judge verdict: Wrong Answer)

n=int(input())
ans=10**10
dp=[0]*100001
for i in range(1,n+1):
  tmp=[dp[i]+1]
  if i>=6**1:
    tmp.append(dp[i-6**1]+1)
  if i>=9**1:
    tmp.append(dp[i-9**1]+1)
  if i>=6**2:
    tmp.append(dp[i-6**2]+1)
  if i>=9**2:
    tmp.append(dp[i-9**2]+1)
  if i>=6**3:
    tmp.append(dp[i-6**3]+1)
  if i>=9**3:
    tmp.append(dp[i-9**3]+1)
  if i>=6**4:
    tmp.append(dp[i-6**4]+1)
  if i>=9**4:
    tmp.append(dp[i-9**4]+1)
  if i>=6**5:
    tmp.append(dp[i-6**5]+1)
  if i>=9**5:
    tmp.append(dp[i-9**5]+1)
  if i>=6**6:
    tmp.append(dp[i-6**6]+1)
  if i>=9**6:
    tmp.append(dp[i-9**6]+1)
  dp[i]=min(tmp)
print(dp[n])