This is the only game among hundreds I did completely in my head. Calculating that each board value adds to 9 and the processors it holds is a very simple version of Gauss summation: 1 + 8, 2 + 7, 3 + 6, 4 + 5. From the rules, T cannot hold 3-6 and 1-8, then it can hold 4-5 and 2-7. U cannot hold 4-...