Can you please give any references or explain how do you construct the table? about algorithmic-toolbox-threerocksgame HOT 7 CLOSED

You can find the solution here in this PDF, page number 9 and illustration in page number 10.

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I had a PDF document explaining the 2-rock game, but when I tried to search for it now, I could not find it.

I basically used the same approach made in that document to solve the 3-rock one.

But could you be more specific? what exactly is not clear? How did I draw the 2D map with colors, or something else?

Doing it from the bottom up, and now is your move

now whatever move you make, would result in computer winning. so the max movement you can make is (0, 3) which will leave one stone on the right pile, and the computer will do the (0, 1) move and win the game

if you follow the same approach, you will mark the bad losing states. for example (0, 4), (1, 3), (2, 2), (3, 1), (4, 0)

Now if it is your move and the board is in the following state

Then you want to leave the computer with a losing state. so you do a (0, 1) move and leave the computer with a (0, 4) pile which is a losing state. now the computer can't do anything but do (for example) a (0, 2) move which will leave the pile as (0, 2), and now it's your move. you can see now how easily you can win the game by playing a (0, 2)

Please read the previous steps carefully and do it by hand to get a clear understanding of what is happening

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I wanted to know how you drew the table, I couldn't see the pattern.

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Can you please share the 2rock game document.

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Unfortunately, I cannot provide any further help. As I said the PDF document explains the 2-rock game, and I tried to explain the 3-rock game. Do not overthink this. Bring paper and a pencil and try solving it by hand. It's the only way to understand it.

So I will close this issue for now.

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