Misre Nim is played just like Nim but where the last player to move loses. A losing

Misère Nim is played just like Nim but where the last player to move loses. A losing position is therefore a single Nim heap with a single token in it (which the player then has to take). Another losing position is given by three heaps with a single token each.

(a) Determine the winning and losing positions of misère Nim with one or two heaps, and the winning moves from a winning position.

(b) Are three heaps with sizes 1,2,3 winning or losing in misère Nim?

(c) Try to describe the losing positions in misère Nim for any number of heaps.