Олимпиадный тренинг

Задача 39756. 16-20


Задача

Темы: ЕГЭ
The algorithm for calculating the value of the function F(n), where n – non-negative number, is given by the following relations:

F(0) = 9;
F(n) = n/3 + f(n/3)
if n > 0, and the number n is a multiple of 9;
F(n) = n/2 + f(n/2) otherwise.

Determine how many different values ​​the F(n) function takes on the segment [1, 1000000]?
The sign / - means the operation of integer division.