MathDB

There are

4

piles of stones with the following quantities:

1004

1005

2009

and

2010

. A legitimate move is to remove a stone from each from

3

different piles. Two players

A

and

B

play in turns.

A

begins the game . The player who, on his turn, cannot make a legitimate move, loses. Determine which of the players has a winning strategy and give a strategy for that player.

Problem Statement