Is Every FreeCell Game Winnable? Deal #11982 Explained

Almost, but not quite. Computer solvers have shown that vast majority of FreeCell deals có thể be won, roughly 99.999% of them. In classic set of 32,000 numbered games that came với Windows, exactly one, trò chơi #11982, là known đến have no solution. So khi a FreeCell trò chơi beats bạn, odds là overwhelming that a win was there. You có thể test that claim in free FreeCell game, which deals từ same numbered games và skips #11982.

Vì sao FreeCell là different từ other solitaires

In Klondike ( classic solitaire), many các lá bài start face down và stock comes in a fixed order. Some deals là lost before bạn make a move, và bạn có thể't know which until bạn're stuck. FreeCell deals every lá bài face up, và four miễn phí cells plus "any lá bài into an empty column" give a lot of room đến manoeuvre. With complete information và so much flexibility, a computer có thể search every reasonable sequence of moves và say cho certain whether a deal có thể be won.

Nếu bạn need rules first, start với how to play FreeCell.

The famous numbers

Set of deals	Unsolvable deals reported	Share winnable
Classic Windows deals 1 đến 32,000	1 (#11982)	about 99.997%
Numbered deals 1 đến 1,000,000	8	about 99.999%
8.6 billion deals (Pringle và Fish, 2018)	102,075	about 99.9988%

A few notes on where these come từ:

• The 32,000 deals. Early Windows versions of FreeCell offered games numbered 1 đến 32,000, each generated từ its số so same số always gives same layout. Players và programmers have run solvers on all of them, và #11982 là only one no solver has been able đến win.
• The first million. Later versions extended numbers đến 1,000,000. Among those, eight deals là reported unsolvable, #11982 included.
• Random deals. Solver runs over random deals find that essentially all là solvable, với figures quoted around 99.999%. One large 2018 run by Theodore Pringle và Shlomi Fish over 8.6 billion deals là reported đến have found 102,075 impossible ones, roughly one in every 84,000. Treat these as reported figures we haven't re-run, và check original sources nếu bạn need exact numbers.

All of these counts assume standard trò chơi: four miễn phí cells, eight columns, và các lá bài moved by usual rules. Variants với fewer miễn phí cells là harder, và more of their deals có thể't be won.

Is every FreeCell trò chơi winnable by a human?

"Winnable" here means a perfect người chơi who có thể see every lá bài và tính everything could win. It doesn't mean every human sẽ. Solvers sometimes find wins that need dozens of precise moves, với các lá bài shuffled between miễn phí cells và columns in an order nobody would spot over a coffee break. So two things là true at once:

1. You có thể almost never blame deal.
2. Some deals là genuinely hard, và losing one doesn't mean bạn played badly.

The practical takeaway là đến treat a loss as a puzzle rather than bad luck. Restart same deal và try a different first few moves.

Vì sao #11982 impossible?

There's no short explanation a human có thể check at a glance. Its status comes từ computer search: solvers have tried possible lines of play và none of them clears table. Some người chơi enjoy trying it cho exactly that reason.

Cách our trò chơi handles it

• New deal picks a random deal từ 1 đến 32,000 và skips #11982, so every random trò chơi bạn get has a known solution.
• To try impossible one yourself, type 11982 in Play a numbered trò chơi on first screen và press Deal. You có thể type any số từ 1 đến 1,000,000.
• Restart replays current deal từ start, và Undo steps back one move at a time, so bạn có thể explore different lines on same deal.
• Hint suggests a sensible move, but it isn't a solver. On a hard deal, a hint có thể point bạn somewhere that doesn't lead đến a win.
• When no move at all là left, bạn'll see "No moves left. Undo a few moves, hoặc restart deal."

Cách đến win more of deals bạn play

Because nearly every deal là winnable, của bạn win rate là mostly about technique:

• Plan first five moves before touching anything. Find aces và what's covering them.
• Treat empty columns as gold. Each one doubles size of run bạn có thể move.
• Keep at least one miễn phí cell open whenever bạn có thể.
• Don't rush các lá bài đến foundations nếu they're still useful cho building, though trò chơi sẽ automatically send home các lá bài that có thể't be needed.
• Dùng Restart, not New deal, after a loss. Replaying same deal là fastest way đến learn.

Klondike là different: some of its deals có thể't be won however well bạn play, because các lá bài là hidden. Nếu bạn play classic solitaire too, see how to win solitaire.

Try a deal

Deal a random trò chơi, hoặc type in a số someone has told bạn about, in free FreeCell game. It runs in của bạn browser với no sign-up, và của bạn best time là saved on của bạn device.