Score : 300 points
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.
Input is given from Standard Input in the following format:
N
If at least x operations are required to withdraw exactly N yen in total, print x.
127
4
By withdrawing 1 yen, 9 yen, 36(=6^2) yen and 81(=9^2) yen, we can withdraw 127 yen in four operations.
3
3
By withdrawing 1 yen three times, we can withdraw 3 yen in three operations.
44852
16