Is it possible to win solitaire no matter how the cards are

All that is necessary is a single counter-example. I won't write it all out, but a simple description should suffice.

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Bury all of the aces and threes in the piles of the tableau. Now, ensure that of the 7 cards which are showing, that only twos or fours are showing on top of those piles. Since ALL of the aces and threes are buried underneath, NONE of the upturned cards can ever be moved. copyright ybarra-cgm

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This construction, while a bit degenerate, is obviously possible to occur. But only a single counter-example was necessary to prove that not all games of solitaire are solvable.

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