From: Jim Pike Newsgroups: sci.math Subject: Re: puzzle Date: Mon, 06 Apr 1998 12:36:37 -0500 of the 32000 possible games in the game freecell, 11982 is believed to be unsolvable - http://physics.tamu.edu/~Cdude/freecell.html There are also ways to construct an unsolvable hand: http://spider.cs.ruu.nl/~hansb/d.freecell/node2.html#SECTION0002 And there are also ways to get quick answers to these kinds of questions: http://www.hotbot.com/ search for freecell and unsolvable jim pike LSC wrote: > > Can someone prove that every game of freecell have a winning strategy or > give a counterexample of a freecell that one cannot win? The freecell here > is the game in MS Windows 95. ============================================================================== Newsgroups: sci.math From: wpclay@arl.mil (William Clay) Subject: Re: puzzle Date: Mon, 6 Apr 1998 19:34:55 GMT On 6 Apr 1998 15:12:20 GMT, "LSC" wrote: >Can someone prove that every game of freecell have a winning strategy or >give a counterexample of a freecell that one cannot win? The freecell here >is the game in MS Windows 95. LSC, You might want to check out http://www.capecod.net/~wcallan/freecell.htm According to them, all games except one (11982) have been solved. I have heard that someone has proved that 11982 is unsolvable, but I have not seen the proof myself. -- Bill Clay ============================================================================== Subject: Re: Freecell Newsgroups: sci.math From: zeisel@vai.co.at (Zeisel Helmut) Date: 20 Oct 1999 14:38:11 +0200 In article <380da5b6@webpc1.vai.co.at>, zeisel@vai.co.at (Zeisel Helmut) writes: >In article <7uk520$1pk3$1@news.cybercity.dk>, "Daniel Molnar" writes: >> >>theodore hwa wrote in message <7ubp48$id7$1@nntp.Stanford.EDU>... >>>Um, what??? It is easy to construct an unwinnable game. >>> >>>In the Windows Freecell program, >>> >>>try games -1 and -2 (I'm serious). >>>try game 11982. >> >> >>While we're at the subject, does anyone have the slightest clue >>about the algoritm used to calculate the board. >>The available numbers (1 to 32000) are clearly not enough to >>all the (52!) combinations. > >I have no exact information, >but I would assume that the "number" of the game >is the starting value for some simple random number >generator (maybe, say, the ANSI C generator), >and the generated pseudo random numbers are used to "mix" the cards. >At least, this is how I would do it >to obtain games that are random enough for a simple game >and which is simple to implement. > >Helmut > Maybe next time I should consult yahoo before posting: Following some links from http://www.freecell.org, one finds http://members.aol.com/wgreview/mshuffle.txt, where the MS programmer of Freecell publishes the algorithm. Helmut