The algorithm for calculating the value of the function F(n), where n – natural number, given by the following relations:
F(n) = 3 if n <= 10;
F(n) = F(n / 7) + n - 1 if 10 < n <= 200, and the number n is a multiple of 7;
F(n) = F(n - 1) + n + 1 if 10 < n <= 200 and n is not a multiple of 7;
F(n) = F(n - 7) + 7 if n > 200.
What is the smallest value of n result F(n) will be equal to 106?