At a competition with N players, the number of players given elite status is equal to
2^{1+\left\lfloor\log _{2}(N-1)\right\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.
Answer Choices
A. 38
B. 90
C. 154
D. 406
E. 1024