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



Sample input:
127


Sample output:
4

Submission status: Runtime Error

Solution code:
N=int(input())
dp=[0, 1, 2, 3, 4, 5, 1, 2, 3, 1, 2, 3, 2, 3, 4, 2, 3, 4, 2, 3, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 1, 2, 3, 4, 5, 6, 2, 3, 4, 2, 3, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 2, 3, 4, 5, 6, 7, 3, 4, 5, 1, 2, 3, 4, 5, 6, 2, 3, 4, 2, 3, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 3, 4, 5, 5, 6, 7, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 1, 2, 3, 4, 5, 6, 2, 3, 4, 2, 3, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 3, 4, 5, 5, 6, 7, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 1, 2, 3, 4, 5, 6, 2, 3, 4, 2, 3, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 1, 2, 3, 4, 5, 6, 2, 3, 4, 2, 3, 4, 3, 4, 5, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 3, 4, 5, 5, 6, 7, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 2, 3, 4, 5, 6, 7, 3, 4, 5, 3, 4, 5, 4, 5, 6, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 6, 7, 8, 8, 9, 10, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 3, 4, 5, 6, 7, 8, 4, 5, 6, 4, 5, 6, 5, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 4, 5, 6, 6, 7, 8, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 5, 6, 7, 7, 8, 9, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 6, 7, 6, 7, 8, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 5, 6, 7, 8, 9, 10, 6, 7, 8, 6, 7, 8, 7, 8, 9, 7, 8, 9, 4, 5, 6, 7, 8, 9, 5, 6, 7, 5, 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11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 11, 12, 13, 13, 14, 15, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 12, 13, 14, 13, 14, 15, 13, 14, 15, 11, 12, 13, 14, 15, 16, 12, 13, 14, 11, 12, 13, 13, 14, 15, 12, 13, 14, 12, 13, 14, 13, 14, 15, 13, 14, 15, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 11, 12, 13, 13, 14, 15, 12, 13, 14, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 9, 10, 11, 12, 13, 14, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 11, 12, 13, 13, 14, 15, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 11, 12, 13, 13, 14, 15, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 11, 12, 13, 13, 14, 15, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 12, 13, 14, 13, 14, 15, 13, 14, 15, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 6, 7, 8, 9, 10, 11, 7, 8, 9, 7, 8, 9, 8, 9, 10, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 8, 9, 10, 11, 12, 13, 9, 10, 11, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 7, 8, 9, 10, 11, 12, 8, 9, 10, 8, 9, 10, 9, 10, 11, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 8, 9, 10, 10, 11, 12, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 8, 9, 10, 11, 12, 13, 9, 10, 11, 9, 10, 11, 10, 11, 12, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 9, 10, 11, 11, 12, 13, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 9, 10, 11, 12, 13, 14, 10, 11, 12, 10, 11, 12, 11, 12, 13, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 10, 11, 12, 12, 13, 14, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 11, 12, 13, 13, 14, 15, 12, 13, 14, 10, 11, 12, 13, 14, 15, 11, 12, 13, 11, 12, 13, 12, 13, 14, 12, 13, 14, 12, 13, 14, 13, 14, 15, 13, 14, 15, 11, 12, 13, 14, 15, 16]
print(dp[N])