Of course he knew. What I find more impressive is not only that he acted like an idiot, but that 1) he planned all of this from way back, since he only got a chance near the start to do that trick with the 72 creamer, and that 2) he was actually able to figure out the numbers of the creamers being used by analyzing the ones that weren't being used. It sounds simple but I think that's harder than they make it seem. So not only did he also know every creamer being used, but he predicted how the game would go and that Kidou would try to cheat (because he was greedy and wouldn't take the certain win in front of him) and set up a trap that would let him win instead. Fucking Hachina. "What's filthy is the way you eat".