Here is a game I wish I had the solution to:
A cuboid consists of 4x6x9 cubes. Two people play a game where they reduce the cuboid with flat cut. Every time you make a cut you can have one of the two pieces and then the turn passes to the opponent who shares the cuboid in the same way with flat cuts. The game continues as long as the cuboid can be divided into smaller cuboids. Whoever makes the last division is the winner. How should the first player to make the first division to increase their chances of winning?