#abc099c. [abc099_c]Strange Bank

[abc099_c]Strange Bank

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:

  • 11 yen (the currency of Japan)

  • 66 yen, 62(=36)6^2(=36) yen, 63(=216)6^3(=216) yen, ...

  • 99 yen, 92(=81)9^2(=81) yen, 93(=729)9^3(=729) yen, ...

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

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

Constraints

  • 1leqNleq1000001 \\leq N \\leq 100000
  • NN is an integer.

Input

Input is given from Standard Input in the following format:

NN

Output

If at least xx operations are required to withdraw exactly NN yen in total, print xx.


Sample Input 1

127

Sample Output 1

4

By withdrawing 11 yen, 99 yen, 36(=62)36(=6^2) yen and 81(=92)81(=9^2) yen, we can withdraw 127127 yen in four operations.


Sample Input 2

3

Sample Output 2

3

By withdrawing 11 yen three times, we can withdraw 33 yen in three operations.


Sample Input 3

44852

Sample Output 3

16