I have two Nim position
2,5,8,15
5,7,8,10
The question asks me to find all the winning moves (not to end the game but all the possible moves that lead to a winning situation) for the given Nim positions, assume that I'm in a losing position. However, I found that the two positions above both have even parity, so I could not find the winning moves for both.
Any help is appreciated.