Puzzling Asked by Michael Primo on March 16, 2021
I was making a mathematical game (viewable here: www.michaelprimo.it/beta) where you have a 3×3 grid, one central yellow button with a generated number and the other eight blue buttons with clickable and summable numbers. I thought: "what if everything is predictable?" So I made this:
What is the biggest main number you can reach? More importantly, is the game doable (as in no particular tricks and it’s not broken in some way)
I want to know if this puzzle I accidentally created during my game is good or not. I am not good with game theory, but I am interested in the argument.
The biggest number you can reach is
This is because
As a bonus, highest reachable numbers a(k) on k=1,2,...,8 tiles are:
Correct answer by Vepir on March 16, 2021
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