Start with 4 different color cubes, each with the value of 128. Then just keep splitting them until you have a full the game. You'll need some intelligence in

Start with 4 different color cubes, each with the value of 128. Then just keep splitting them until you have a full the game. You'll need some intelligence in deciding which cubes to split and where to stack the split cube. But if you reach a state where you can't split anymore you can must backtrack and try again.