Олимпиадный тренинг

Задача 39752. 16-17


Задача

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

F(0) = 5;
F(n) = n/15 + f(n/3)
if n > 0, and the number n is a multiple of 15;
F(n) = f(n-1) otherwise.

Determine how many distinct values n,  belonging to the segment [1, 1000000], value  F(n) less than 100?
The sign / - means the operation of integer division.