New answers tagged strategy
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Now, when I look at the picture the floor seems to be made of square tiles.
It is also said that they are in the middle of the room.
So, they just have to feel the floor for the crevices made by the stones on the floor(close to their position).
When they find two corners on the floor, they have to go in the direction facing the center of the two ...
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Source: I played this game a lot while distracted and this seems to work pretty well.
[Sort of unrelated, but 2048 is one of the first C++ programs I wrote. Code is here: link to code.]
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By definition, Alice's first move is one that does not guarantee her a win. Therefore, the other player must have a viable path to victory. If the other player does not have a way to win, then the premise that Alice made the "wrong" move at the start is false. If Alice can guarantee a win from her second move regardless of what the other player does, then ...
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non-constructive answer and proof
It is stated that she always get her first move wrong. That means that she does not play the move that allows her to win.
We also know that the game has a winner - there are no draws.
Therefore if Alice does not play a move that guarantees her the win there exists a strategy that will guarantee you the win from that point....
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No, you do not always have a strategy to beat a distracted Alice.
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Who ever plays first:
Because:
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We can work backwards to figure this out:
Conclusion:
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