On a table, there is a certain number $N$ of candies. Aline and Bruna agree that, alternately, each one must eat at least one, but no more than half of the existing quantity. The one who eats the last candy wins the game. Ana always starts the game.

a) For $N=5$, which of the two has the winning position? (A winning position is one in which the player can win regardless of the sequence of moves made by their opponent.)

b) For $N=20$, which of the two has the winning position?

c) What are the values of $N$, where $100<N<200$, that give Bruna the winning position?