There is an easy way to solve it in the minimum number of moves. The reason this works is:


We can work backwards to figure this out: Conclusion:


I don't know why this works, but I tried my old strategy from other similar puzzles and it has worked in several cases so far: Then, One final note - since I don't know why it works, I also can't prove that it always works, unfortunately. But in my many years of solving puzzles in this genre, that strategy always seems to eventually land on a solution. ...



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.]


The answer is Just going step by step by eliminaion


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 ...


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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