Question 19
At a competition with $N$ players, the number of players given elite status is equal to $$
2^{1 + \lfloor \log_2 (N - 1) \rfloor} - N.
$$ Suppose that $19$ players are given elite status. What is the sum of the two smallest possible values of $N?$
Note: $\lfloor x \rfloor$ is the greatest integer less than or equal to $x.$
2^{1 + \lfloor \log_2 (N - 1) \rfloor} - N.
$$ Suppose that $19$ players are given elite status. What is the sum of the two smallest possible values of $N?$
Note: $\lfloor x \rfloor$ is the greatest integer less than or equal to $x.$