Олимпиадный тренинг

Задача 39186. 16-07


Задача

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

F(n) = 0 if n <= 10;
F(n) = F(n / 7) + n
if 10 < n <= 200, and the number n  is a multiple of 7;
F(n) = F(n - 1) + n if 10 < n <= 200 and n is not a multiple of 7;
F(n) = F(n - 7) if n > 200.

With how many different values n, in the range [1, 100], the result F(n) will be equal to n?