arrHitInfo=new Array("&lt,9,2,13,1,14,1,43,1","‘book’,27,1","‘debug’,15,1","‘frequency’,27,1","‘good’,27,1","‘jams’,27,1","‘kqxx,38,1","‘lawfulness’,27,1","‘official’,38,1","‘poor’,27,1","‘safe’,27,1","‘suit’,27,1","‘words’,38,1","“psst,27,1","“subscript,13,1,14,1,43,1","0.5,27,1","00z,9,2","03,9,2","0314,18,4","1.0,3,1","1.800.932.5168,17,1,22,1,25,1,37,2","1§,9,4","10,18,5,27,2,35,1,36,1,42,1,37,1,38,1,41,1","100,35,1,36,1,41,1","1000,38,1,44,1","101,35,1,36,1,41,1","10-12,18,1","102,35,1,36,1,41,1","103,35,1,36,1,41,1","104,35,1,36,1,41,1","105,35,1,36,1,41,1","106,35,1,36,1,41,1","107,35,1,36,1,41,1","108,35,1,36,1,41,1","109,35,1,36,1,41,1","11,10,1,18,3,27,1,35,1,36,1,41,1","110,35,1,36,1,41,1","111,35,1,36,1,41,1","112,35,1,36,1,41,1","113,35,1,36,1,41,1","114,35,1,36,1,41,1","115,35,1,36,1,41,1","116,35,1,36,1,41,1","117,35,1,36,1,41,1","118,35,1,36,1,41,1","119,35,1,36,1,41,1","12,2,1,9,3,10,1,18,6,22,1,35,1,36,1,37,2,38,1,41,1","120,35,1,36,1,41,1","121,35,1,36,1,41,1","12-14,10,2,18,1,27,1,44,1","12-15,18,2","122,35,1,36,1,41,1","123,35,1,36,1,41,1","124,35,1,36,1,41,1","125,35,1,36,1,41,1","126,35,1,36,1,41,1","127,35,1,36,1,41,1","128,35,1,36,1,41,1","129,35,1,36,1,41,1","12-top,7,1","13,2,1,27,1,35,1,36,1,41,1","130,35,1,36,1,41,1","131,35,1,36,1,41,1","13-15,18,2","132,35,1,36,1,41,1","133,35,1,36,1,41,1","134,35,1,36,1,41,1","135,35,1,36,1,41,1","136,35,1,36,1,41,1","137,35,1,36,1,41,1","138,35,1,36,1,41,1","139,35,1,36,1,41,1","14,9,1,14,1,27,2,35,1,36,1,41,1","140,35,1,36,1,41,1","141,35,1,36,1,41,1","142,35,1,36,1,41,1","143,35,1,36,1,41,1","1430,18,4","144,35,1,36,1,41,1","145,35,1,36,1,41,1","146,35,1,36,1,41,1","147,35,1,36,1,41,1","148,35,1,36,1,41,1","149,35,1,36,1,41,1","15,1,1,2,1,3,1,7,1,8,1,10,2,11,1,12,1,13,1,14,1,15,1,16,1,17,1,18,1,19,1,22,1,23,2,25,3,27,4,28,1,32,1,33,1,35,1,36,1,42,1,37,3,38,2,39,1,40,1,41,1,43,1,44,1,45,1,46,1","150,35,1,36,1,41,1","151,35,1,36,1,41,1","15-17,10,3,27,1","152,35,1,36,1,41,1","153,35,1,36,1,41,1","154,35,1,36,1,41,1","155,35,1,36,1,41,1","156,35,1,36,1,41,1","157,35,1,36,1,41,1","158,35,1,36,1,41,1","159,35,1,36,1,41,1","16,10,1,25,1,27,2,35,1,36,1,41,1","160,35,1,36,1,41,1","161,35,1,36,1,41,1","16-18,18,1","162,35,1,36,1,41,1","163,35,1,36,1,41,1","164,35,1,36,1,41,1","165,35,1,36,1,41,1","166,28,1,35,1,36,1,41,1","167,35,1,36,1,41,1","168,35,1,36,1,41,1","169,35,1,36,1,41,1","17,27,1,35,1,36,1,41,1","170,35,1,36,1,41,1","171,35,1,36,1,41,1","172,35,1,36,1,41,1","17-20,18,2","173,35,1,36,1,41,1","174,35,1,36,1,41,1","175,35,1,36,1,41,1","176,35,1,36,1,41,1","177,35,1,36,1,41,1","178,35,1,36,1,41,1","179,35,1,36,1,41,1","18,18,1,27,2,35,1,36,1,41,1","180,35,1,36,1,41,1","181,35,1,36,1,41,1","18-19,10,1,15,1","182,35,1,36,1,41,1","183,35,1,36,1,41,1","184,35,1,36,1,41,1","185,35,1,36,1,41,1","186,35,1,36,1,41,1","187,35,1,36,1,41,1","188,35,1,36,1,41,1","189,35,1,36,1,41,1","19,18,1,27,3,35,1,36,1,38,1,41,1","190,35,1,36,1,41,1","191,35,1,36,1,41,1","192,35,1,36,1,41,1","193,35,1,36,1,41,1","194,35,1,36,1,41,1","195,35,1,36,1,41,1","196,35,1,36,1,41,1","197,35,1,36,1,41,1","198,35,1,36,1,41,1","199,35,1,36,1,41,1","1992,1,1,2,1,3,1,7,1,8,1,10,1,11,1,12,1,13,1,14,1,15,1,16,1,17,1,18,1,19,1,22,1,23,1,25,2,27,1,28,1,32,1,33,1,42,1,37,1,38,1,39,1,40,1,43,1,44,1,45,1,46,1","1999,3,1,12,1,38,1","1h-1s-2c-2d,20,1","1n,1,1,9,1,18,2,35,638,36,638,41,638","1n-2,38,1","1nt,10,8,15,1,18,43,32,1,40,4,44,3","1nt.of,18,1","1nt-2nt,18,1","1nt-3c,40,1","1-round,18,1","1-suited,18,2","1-suiter,18,1","2#-2,21,1","20,23,1,27,4,35,1,36,1,37,1,38,1,41,1","200,25,1,35,1,36,1,41,1","2006-11-06t02,9,2","2007,1,1,2,1,3,1,7,1,8,1,10,1,11,1,12,1,13,1,14,1,15,1,16,1,17,1,18,1,19,1,22,1,23,1,25,1,27,1,28,1,32,1,33,1,42,1,37,1,38,1,39,1,40,1,43,1,44,1,45,1,46,1","201,35,1,36,1,41,1","202,35,1,36,1,41,1","203,35,1,36,1,41,1","204,35,1,36,1,41,1","205,35,1,36,1,41,1","206,35,1,36,1,41,1","207,35,1,36,1,41,1","208,35,1,36,1,41,1","209,35,1,36,1,41,1","21,27,2,35,1,36,1,41,1","210,35,1,36,1,41,1","211,35,1,36,1,41,1","212,35,1,36,1,41,1","213,35,1,36,1,41,1","214,35,1,36,1,41,1","215,35,1,36,1,41,1","216,35,1,41,1,36,1","217,35,1,41,1,36,1","218,35,1,41,1,36,1","219,35,1,41,1,36,1","22,27,4,35,1,41,1,36,1","220,35,1,41,1,36,1","221,35,1,41,1,36,1","222,35,1,41,1,36,1","223,35,1,41,1,36,1","224,35,1,41,1,36,1","225,35,1,41,1,36,1","226,35,1,41,1,36,1","227,35,1,41,1,36,1","228,35,1,41,1,36,1","229,35,1,41,1,36,1","23,27,1,35,1,41,1,36,1","230,35,1,41,1,36,1","231,35,1,41,1,36,1","232,35,1,41,1,36,1","233,35,1,41,1,36,1","2-3-3,27,1","234,35,1,41,1,36,1","235,35,1,41,1,36,1","236,35,1,41,1,36,1","237,35,1,41,1,36,1","238,35,1,41,1,36,1","239,35,1,41,1,36,1","24,27,2,35,1,41,1,36,1","240,35,1,41,1,36,1","241,35,1,41,1,36,1","242,35,1,41,1,36,1","243,35,1,41,1,36,1","244,35,1,41,1,36,1","245,35,1,41,1,36,1","246,35,1,41,1,36,1","247,35,1,41,1,36,1","248,35,1,41,1,36,1","249,35,1,41,1,36,1","25,35,1,41,1,36,1","250,35,1,41,1,36,1","251,35,1,41,1,36,1","252,35,1,41,1,36,1","253,35,1,41,1,36,1","254,35,1,41,1,36,1","255,35,1,41,1,36,1","256,35,1,41,1,36,1","257,35,1,41,1,36,1","258,35,1,41,1,36,1","259,35,1,41,1,36,1","26,27,2,35,1,41,1,36,1","260,35,1,41,1,36,1","261,35,1,41,1,36,1","262,35,1,41,1,36,1","263,35,1,41,1,36,1","264,35,1,41,1,36,1","265,35,1,41,1,36,1","266,35,1,41,1,36,1","267,35,1,41,1,36,1","268,35,1,41,1,36,1","269,35,1,41,1,36,1","27,35,1,41,1,36,1","2-7,27,1","270,35,1,41,1,36,1","271,35,1,41,1,36,1","272,35,1,41,1,36,1","273,35,1,41,1,36,1","274,35,1,41,1,36,1","275,35,1,41,1,36,1","276,35,1,41,1,36,1","277,35,1,41,1,36,1","278,35,1,41,1,36,1","279,35,1,41,1,36,1","28,27,4,35,1,41,1,36,1","280,35,1,41,1,36,1","281,35,1,41,1,36,1","282,35,1,41,1,36,1","283,35,1,41,1,36,1","284,35,1,41,1,36,1","285,35,1,41,1,36,1","286,35,1,41,1,36,1","287,35,1,41,1,36,1","288,35,1,41,1,36,1","289,35,1,41,1,36,1","29,27,1,35,1,41,1,36,1","290,35,1,41,1,36,1","291,35,1,41,1,36,1","292,35,1,41,1,36,1","293,35,1,41,1,36,1","294,35,1,41,1,36,1","295,35,1,41,1,36,1","296,35,1,41,1,36,1","297,35,1,41,1,36,1","298,35,1,41,1,36,1","299,35,1,41,1,36,1","2-bid,18,1","2c,18,1","2d,18,9","2-level,18,2","2n,18,2,27,4,35,256,41,256,36,256","2nd,18,2","2nt,10,1,18,45,32,2","2-suited,18,1","2-suiter,18,2","2-way,18,3","2x,1,1","30,22,1,27,5,35,1,41,1,36,1","300,35,1,41,1,36,1","301,35,1,41,1,36,1","302,35,1,41,1,36,1","303,35,1,41,1,36,1","304,35,1,41,1,36,1","305,35,1,41,1,36,1","306,35,1,41,1,36,1","307,35,1,41,1,36,1","308,35,1,41,1,36,1","309,35,1,41,1,36,1","31,27,9,35,1,41,1,36,1","310,35,1,41,1,36,1","311,35,1,41,1,36,1","312,35,1,41,1,36,1","313,35,1,41,1,36,1","314,35,1,41,1,36,1","315,35,1,41,1,36,1","316,35,1,41,1,36,1","317,35,1,41,1,36,1","318,35,1,41,1,36,1","319,35,1,41,1,36,1","32,27,1,35,1,41,1,36,1","320,35,1,41,1,36,1","321,35,1,41,1,36,1","322,35,1,41,1,36,1","323,35,1,41,1,36,1","324,35,1,41,1,36,1","325,35,1,41,1,36,1","326,35,1,41,1,36,1","327,35,1,41,1,36,1","328,35,1,41,1,36,1","329,35,1,41,1,36,1","32-bit,25,2","33,27,2,35,1,41,1,36,1","3-3,27,2","330,35,1,41,1,36,1","331,35,1,41,1,36,1","332,35,1,41,1,36,1","333,35,1,41,1,36,1","334,35,1,41,1,36,1","335,35,1,41,1,36,1","336,35,1,41,1,36,1","337,35,1,41,1,36,1","338,35,1,41,1,36,1","339,35,1,41,1,36,1","34,27,5,35,1,41,1,36,1","3-4,27,1","340,35,1,41,1,36,1","341,35,1,41,1,36,1","342,35,1,41,1,36,1","343,35,1,41,1,36,1","344,35,1,41,1,36,1","345,35,1,41,1,36,1","346,35,1,41,1,36,1","347,35,1,41,1,36,1","348,35,1,41,1,36,1","349,35,1,41,1,36,1","35,27,3,35,1,41,1,36,1","3-5,27,1","350,35,1,41,1,36,1","351,35,1,41,1,36,1","352,35,1,41,1,36,1","353,35,1,41,1,36,1","354,35,1,41,1,36,1","355,35,1,41,1,36,1","356,35,1,41,1,36,1","357,35,1,41,1,36,1","358,35,1,41,1,36,1","359,35,1,41,1,36,1","36,27,4,35,1,41,1,36,1","3-6,27,1","360,35,1,41,1,36,1","361,35,1,41,1,36,1","362,35,1,41,1,36,1","363,35,1,41,1,36,1","364,35,1,41,1,36,1","365,35,1,41,1,36,1","366,35,1,41,1,36,1","367,35,1,41,1,36,1","368,35,1,41,1,36,1","369,35,1,41,1,36,1","37,27,2,35,1,41,1,36,1","370,35,1,41,1,36,1","371,35,1,41,1,36,1","372,35,1,41,1,36,1","373,35,1,41,1,36,1","374,35,1,41,1,36,1","375,35,1,41,1,36,1","376,35,1,41,1,36,1","377,35,1,41,1,36,1","378,35,1,41,1,36,1","379,35,1,41,1,36,1","38,27,3,35,1,41,1,36,1","380,35,1,41,1,36,1","381,35,1,41,1,36,1","382,35,1,41,1,36,1","383,35,1,41,1,36,1","384,35,1,41,1,36,1","385,35,1,41,1,36,1","386,35,1,41,1,36,1","387,35,1,41,1,36,1","388,35,1,41,1,36,1","389,35,1,41,1,36,1","39,27,2,35,1,41,1,36,1","39.95,37,1","390,35,1,41,1,36,1","391,35,1,41,1,36,1","392,35,1,41,1,36,1","393,35,1,41,1,36,1","394,35,1,41,1,36,1","395,35,1,41,1,36,1","396,35,1,41,1,36,1","397,35,1,41,1,36,1","398,35,1,41,1,36,1","399,35,1,41,1,36,1","3-bid,27,2","3c,27,3","3-card,18,4","3h,27,1","3-level,18,2,32,1","3m,18,1","3n,1,1,18,1,35,256,41,256,36,256","3nt,18,7,40,2","3-suited,18,2","3-suiter,18,1","3z2,17,1","4.0,93,2","4.0.2.7802,92,1,94,1,109,1","40,22,1,27,2,35,1,41,1,36,1","400,2,1,23,1,35,1,41,1,36,1","4000,23,1","401,35,1,41,1,36,1","402,35,1,41,1,36,1","403,35,1,41,1,36,1","404,35,1,41,1,36,1","405,35,1,41,1,36,1","406,35,1,41,1,36,1","407,35,1,41,1,36,1","408,35,1,41,1,36,1","409,35,1,41,1,36,1","41,27,2,35,1,41,1,36,1","410,35,1,41,1,36,1","411,35,1,41,1,36,1","412,35,1,41,1,36,1","413,35,1,41,1,36,1","414,35,1,41,1,36,1","415,35,1,41,1,36,1","416,35,1,41,1,36,1","416.463.2689,17,1","416-463-2689,37,1","417,35,1,41,1,36,1","418,35,1,41,1,36,1","419,35,1,41,1,36,1","42,35,1,41,1,36,1","420,35,1,41,1,36,1","421,35,1,41,1,36,1","422,35,1,41,1,36,1","423,35,1,41,1,36,1","424,35,1,41,1,36,1","425,35,1,41,1,36,1","426,35,1,41,1,36,1","427,35,1,41,1,36,1","428,35,1,41,1,36,1","429,35,1,41,1,36,1","43,35,1,41,1,36,1","4-3,18,1,27,2","430,35,1,41,1,36,1","431,35,1,41,1,36,1","432,35,1,41,1,36,1","433,35,1,41,1,36,1","434,35,1,41,1,36,1","435,35,1,41,1,36,1","436,35,1,41,1,36,1","437,35,1,41,1,36,1","438,35,1,41,1,36,1","439,35,1,41,1,36,1","44,27,3,35,1,41,1,36,1","4-4,27,2","440,35,1,41,1,36,1","441,35,1,41,1,36,1","442,35,1,41,1,36,1","443,35,1,41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arrFiles=new Array();arrFiles[0]=new Array(1,"advantage.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder declarer advantage Declarer Advantage is the edge that declarer derives from an opening lead that is literally blind , hence imperfect, which lead often helps declarer more than it helps the defence. For example, a lead into a 1N/3N contract is essentially blind ; the opening leader knows some general things about the hands but his lead can often be disastrous for his side. When using Visual Deal \'s Double Dummy Solver, the lead by definition will be the perfect lead, and will erase the notion of Declarer Advantage . Any analysis you undertake will therefore understate the chances of making a contract by however much this advantage might be, because the double dummy leader will find any killing lead that might exist, no matter how bizarre. Actually you can easily use Visual Deal to estimate this advantage. We have done this and it turns out that declarer advantage is a little more than 1/2 tricks on average. We have included in Visual Deal the option of using a rule-based opening lead, with double dummy play thereafter. A rule-based lead makes a sensible lead based on the few things that might be known about the other hands based on the bidding, then leads maybe 4th-best, or top-of-a-sequence, or a singleton in a trump contract, or maybe top of a doubleton, the kinds of leads that you revert to in real life. This option is perhaps 2x as fast, and retains declarer advantage because it doesn \'t often result in that killing lead, so it is the option we recommend you use. Home Bridgeware copyright 1992 to 2007 Email ",4);arrFiles[1]=new Array(2,"ai.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder ARTIFICIAL INTELLIGENCE (AI) To play a hand  \'Double Dummy \' is to play a hand looking at all the cards in all the hands. We have built a Double Dummy Solver that is able to determine the best line of play, if everyone at the table plays his cards perfectly at each turn to play. At the opening lead, the number of possible combinations of plays is umpteen gazillions. There are 13 initial plays, then for each of those for second hand play there are 2 or 3 or 4 choices, then for each of those for third hand there is another few, then for fourth hands, then for the round two lead there is a choice of 12 plays, then .... We have used some very clever AI to prune this immense tree of possibilities from gazillions to a number which is reasonable to handle. For most kinds of deals, with a fast computer we can find the perfect card(s) to play on opening lead in fractions of a second. In subsequent rounds, play becomes faster and faster, and typically we can make a full double dummy analysis in tenths or hundredths of a second. Now for some of you it wouldn \'t be much fun to play against an opponent who actually  \'peeked \' at your actual cards and played perfectly, so the AI routine goes like this: Internally, Buff deals an  \'appropriate \' hand for each hidden hand, making sure to deal suitable suitlengths and hand strengths (things are  \'known \' about the hand if it has previously bid, or disclosed information during previous plays) Buff then sends that hand to the Solver, which returns a play that is  \'best \' for that contrived hand Buff then repeats steps 1. and 2. a number of times, and collects a number of  \'best \' cards At the point at which Buff stops thinking, Buff determines the BEST card of all the  \'best \' cards, and plays it. You choose how many deals that Buff looks at, and how long you want it to look.A faster computer produces smarter plays for the same intelligence level, because more shuffling/solving loops are possible, producing more  \'best \' cards, and therefore a greater likelihood that the BEST card is a very good one. You can also elect the option to  \'keep thinking until I stop you \'. Buff continues the shuffler/solver loop until you stop it (actually it stops anyway after 400 loops, more than this is kind of redundant). Plus there are a cumber of  \'short cuts \' you can elect. For example it \'s kind of annoying to see the program think about whether to play the  \'2 \' or the  \'4 \' or the  \'6 \' from a holding of  \'642 \', when for all practical purposes it cannot make any difference (except possibly to signal partner), so you can ask Buff NOT to think in this obvious kind of situation. Other common don \'t-think situations are when your best card cannot beat dummy \'s lowest card, and when you cannot beat the highest card played-to-date. Since the longest thinking is on the opening lead, you can ask that that be an instantaneous  \'rules-based \' lead instead of an AI lead. Home Bridgeware copyright 1992 to 2007 Email ",7);arrFiles[2]=new Array(3,"anotherblank.html","2 Nov 2006","Bridge Buff","","","//DTD XHTML 1.0 Transitional//EN http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd Home Products Conventions Pricing Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder heading All these programs are included in the one low price, whether you order the CDROM, or we email you a download link. This is an excellent suite of programs for any level of bridge player. heading Using Artificial Intelligence since 1999, Bridge Buff plays a great game of Bridge. It cumulate statistics, or print a series of deals to a printer or file. The print formats are very flexible. Home Bridgeware copyright 1992 to 2007 Email ",2);arrFiles[3]=new Array(4,"bb15shot.gif","23 Oct 2006","bb15shot.gif","","","",38);arrFiles[4]=new Array(5,"bblogo.gif","23 Oct 2006","bblogo.gif","","","",7);arrFiles[5]=new Array(6,"bblogo.jpg","21 Oct 2006","bblogo.jpg","","","",4);arrFiles[6]=new Array(7,"bbmatch.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder bridge buff match mode A  \'closed room \' table is at play when you are. You can choose to play from three kinds of matches, or any combination thereof. Team Match. There are two teams. The North/South partnership at your table is paired with East/West in the closed room. Scoring is by International Match Points. Pairs Match. There are four pairs, and a rotating movement. You are scored against the other pairs in  \'matchpoint \' fashion. Individual Match. There are eight individuals, with an appropriate movement. You are scored in  \'matchpoint \' fashion. Matchpoint Matches. Bridge Buff estimates a  \'matchpoint \' score for your result, on a 12-top, against generic  \'strong \' and  \'weak \' fields. You won \'t always agree, but this feature is a lot of fun. Play in the closed room is exceptionally fast. You may also play in Practice mode. Home Bridgeware copyright 1992 to 2007 Email ",3);arrFiles[7]=new Array(8,"bbpractice.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder bridge buff practice mode You have tremendous flexibility in each of the three phases of the game ... dealing, bidding and play. You can also play in match mode. Dealing . In this phase, you shuffle (looking at any number of hands) until you see a deal you would like to bid. Proceed to Bidding. Click DEAL for random deals, or click 1 to see deals where opener is dealt a one heart opener. You have a huge number of ways to request specific kinds of deals. Bidding . At any position, click AUTO if you want Buff to bid all positions but South, quickly and automatically. Click STEP if you want Buff to bid the next bid, and pause. Click ZIP if you want Buff to finish the auction quickly. If YOU want to make a bid, simply click it. You can rebid a deal at any point. Proceed to Playing. Playing . Works like Bidding. Click AUTO, STEP or ZIP for automated play. If you want to play a card, click the card and it will slide to the table. If you want to retract a card, click it while it is on the table and it will return to the hand. You can replay or rebid the hand at any point, as any position. You can concede or claim all remaining tricks. Home Bridgeware copyright 1992 to 2007 Email ",4);arrFiles[8]=new Array(9,"best ever.htm","5 Nov 2006","1§ Opener","","","doug doug 2 14 2006-11-06T02:03:00Z 2006-11-06T02:03:00Z 1 whatever 1 1 9.2720 1 § Opener 1 § 1 ¨ 1 © 1 ª 1N 2 § 2 ¨ 4+ © 4+ ª < 12 HCP, no 4-card major 12+ HCP, 5+ clubs 12+ HCP, 5+ diamonds good © , < 8 HCP ",7);arrFiles[9]=new Array(10,"bestever.html","5 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder transfer responses to 1 (5552) We like this system. The basic framework is Two Over One with Weak Notrumps (12-14), standard five card 1 / openings, five card 1 opening (virtually), 1 opener with as few as two, transfer responses to 1 , and some specialty responses to the 1 and 1 openers. We open 1 with any unbalanced hand with club length, and with any balanced hand with 15+ HCP, even with long diamonds. With a balanced 12-14 we open 1NT. This means we open 1 with pattern 3=3=5=2 and 16 points, for example. Since we open balanced hands 1 or 1NT, our 1 openers are unbalanced. We tend to treat most 5422 hands as balanced. Most 1 openers will be the like of 5431 or three-suited patterns. There are a small number of 4441 hands that we must open 1 , but we assume opener has five diamonds. Holding say 4=4=4=1 we must open 1 . The system could guarantee partner holding five diamonds by using some kind of mini-roman three-suited 2 or 2 opener, but we don \'t like mini-roman. You might. Why do we use transfer responses to 1 ? What is the advantage to using 1 - 1 to show 4+ hearts? There are a couple. Since we use a 1 opener to show a standard 15-17 1NT opener, or an 18-19 2NT rebid, we can transfer our major suit fits to the stronger hand (Jacoby Transfers and Stayman accomplish this with the standard 15-17 range). We can also distinguish between two kinds of simple  \'raises \', using the sequences 1 - 1 | 1 and 1 - 1 | 2 . What should they mean? Maybe the 1  \'raise \' could show three hearts unbalanced (with three balanced opener would rebid 1NT), and 2 show four. That makes sense. Or the 1 bid could show an unbalance minimum raise with four hearts, maybe 4=4=1=4, and the 2 bid shows the 15-17 balanced hand with four hearts. That makes sense too. I think I like the three-card fit 1 bid. The transfers give the declaring side an additional benefit (the 1 and 2  \'raises \'), but at the same time they give the opponents an extra kick at the can. Using standard methods, after 1 - 1 , opener \'s RHO cannot show diamonds at the one-level. But after 1 - 1 (4+ hearts), opener \'s RHO can use Double to insert a cheap lead-directing diamond bid, and he can use 1 as the  \'takeout double \' showing the other two suits. So the opponents have gained a bid. However that in turn gives declarer an extra bid ... he can Redouble the Double to show something, and he can Double the 1 bid to show something else, so at the end of the day, the declaring side ultimately gains one additional bid, I think. The 1 - 1 bid is a transfer to 1NT, and is heavy in minors, usually with diamonds, since responder didn \'t raise clubs. The only real cost to the transfers is the inability to respond a  \'natural \' 1 to 1 (having to respond 1 ), but that is hardly a shattering loss. 1 - 1NT is game-forcing with clubs, and 1 - 2 is game-forcing with diamonds. You can play around with meanings for higher responses 1 - 2 and higher. I kind of like 1 - 2 to also be a transfer to hearts, showing a decent 6+ suit and not enough to make game opposite a strong-notrump 1 opener, maybe the likes of xx/QJTxxx/xx/xxx, similar to a weak jump overcall. Ditto 2 is a transfer to spades. 2 might be some kind of limit club raise. After 1 , always unbalanced, almost always 5+ diamonds, a 2 response is an artificial game force. Regardless of shape, with 12+ HCP, responder bids 2 . Responses of 1 , 1 and 1NT are natural with a maximum 11 HCP. Typically, opener will have a holding like 3=4=5=1. After a 2 forcing-to-game auction, he will start to describe his hand. With this specific holding he would bid 2 . After a limited 1 or 1 response, his rebid will be much like a standard-american rebid ... he will raise even holding just three trumps, rebid his suit with extra length, rebid notrump with some hands, jump raise and reverse with the right strong holdings, and so on. What are some problem hands? Three-suiters can be awkward, but they are awkward in many other systems as well. A holding of 4=4=4=1 must be opened 1 , despite holding just four diamonds. A holding of 4=4=1=4 can be opened 1 because you are prepared if responder shows a major suit, or if he bids 1 (no majors ... you rebid 1NT), but what do you do with 1=4=4=4 or 4=1=4=4 if you open with 1 and get a 1 (no majors) response? You have a large hole in one of the majors, and often your best rebid will be 2 despite holding just four of them. Home Bridgeware copyright 1992 to 2007 Email ",13);arrFiles[10]=new Array(11,"bidbuddy.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder bid buddy Bidding Buddy is a bidding program that you can schedule to pop up on your desktop every few minutes, to relieve the boredom of your day at the office! It uses the conventions that you use for Buff, and works much the same way as the Buff bidding routines. You cannot go on to play out the hand, but you can save interesting deals to be retrieved later by Buff. You can schedule it to appear every N minutes, and it will appear with an interesting (but random) hand for you to bid. You can request that your partnership always have great hands. It’s a lot of fun to use. Home Bridgeware copyright 1992 to 2007 Email ",3);arrFiles[11]=new Array(12,"blank.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder heading All these programs are included in the one low price, whether you order the CDROM, or we email you a download link. This is an excellent suite of programs for any level of bridge player. heading Using Artificial Intelligence since 1999, Bridge Buff plays a great game of Bridge. It cumulate statistics, or print a series of deals to a printer or file. The print formats are very flexible. Home Bridgeware copyright 1992 to 2007 Email ",2);arrFiles[12]=new Array(13,"buffqanda.htm","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder common questions & answers Messages during installation If during installation, towards the finish, you get a Windows message along the lines of  \'not a valid image \', simply ignore it. Nothing untoward happened, the installation was completed successfully. The bidding area doesn \'t show suit symbols properly (BB14 only) A font with suit symbols did not install properly. First, try uninstalling, then reinstalling. If that doesn \'t work and you don \'t really care if the suit symbols display, and don \'t mind if the bids display as  \'1  \', then got to SETUP (top menu) and click the  \'show bids as 1  \' checkbox. If you want to install the font manually, go here to download the font . Your browser will probably give you a couple of options ... choose Save to File. After the download is completed, a simple copy of the font to your Windows \\Fonts folder usually works. If not, use the Font Install routine ... Start - Settings - Control Panel - <doubleclick> FONTS - File (top left) - Install New Font - then go to where you had downloaded the font. Getting Message “Subscript out of range” (Buff closes) or sometimes wrong contract appears to be played and/or score This might happen (rarely) if your option settings and playing choices are a particular combination. Try one or both of these workarounds Go to the top menu Playing … Artificial Intelligence Options .. Buff Will Claim. Turn that Claim option off. We’re told the claiming is annoying anyway, and is based on an AI projection so is not infallible. That might solve the problem. Go to Playing .. Pause At End of Trick and make sure that option is checked ON = YES. Buff Status-Bar doesn \'t display (usually but not always Windows XP), or cannot see bottom of Buff windows because the Windows Taskbar covers it The Buff Status bar at the bottom of the playing screen is not visible. This is probably caused by one of the following: The Windows Taskbar covers it. Go to Start .. Settings ..Taskbar .. and make sure Lock and Keep on Top are not checked. Change the THEME to Windows Classic. Go to Start .. Settings .. Control Panel .. Display. When there, at Themes .. select Windows Classic. Change the Font to Normal. Go to Start .. Settings .. Control Panel .. Display. When there, at Appearance, select Font Size Normal. Large might also work. Home Bridgeware copyright 1992 to 2007 Email ",6);arrFiles[13]=new Array(14,"buffqanda.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder Common Questions and answers Installation If during installation, towards the finish, you get a Windows message along the lines of  \'not a valid image \', simply ignore it. Nothing happened, the installation was completed successfully. Bridge Buff 14 The bidding area doesn \'t show suit symbols properly. A font with suit symbols did not install properly. First, try uninstalling, then reinstalling. If that doesn \'t work and you don \'t really care if the suit symbols display, and don \'t mind if the bids display as  \'1  \', then got to SETUP (top menu) and click the  \'show bids as 1  \' checkbox. If you want to install the font manually, go here to download the font . Your browser will probably give you a couple of options ... choose Save to File. After the download is completed, a simple copy of the font to your Windows \\Fonts folder usually works. If not, use the Font Install routine ... Start - Settings - Control Panel - <doubleclick> FONTS - File (top left) - Install New Font - then go to where you had downloaded the font. Getting Message “Subscript out of range” (Buff closes) or sometimes wrong contract appears to be played and/or score This might happen (rarely) if your option settings and playing choices are a particular combination. Try one or both of these workarounds Go to the top menu Playing … Artificial Intelligence Options .. Buff Will Claim. Turn that Claim option off. We’re told the claiming is annoying anyway, and is based on an AI projection so is not infallible. That might solve the problem. Go to Playing .. Pause At End of Trick and make sure that option is checked ON = YES. Status-Bar doesn \'t display (usually but not always Windows XP) The Buff Status bar at the bottom of the playing screen is not visible. This is probably caused by one of the following: The Windows Taskbar covers it. Go to Start .. Settings ..Taskbar .. and make sure Lock and Keep on Top are not checked. Change the THEME to Windows Classic. Go to Start .. Settings .. Control Panel .. Display. When there, at Themes .. select Windows Classic. Change the Font to Normal. Go to Start .. Settings .. Control Panel .. Display. When there, at Appearance, select Font Size Normal. Large might also work. Home Bridgeware copyright 1992 to 2007 Email ",6);arrFiles[14]=new Array(15,"builder.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder system builder System Builder is a bid designer integrated with Bridge Buff and Visual Deal! This is a bridge software breakthrough! Design your own conventions, your own bidding treatments, even complete bidding systems, or modify bidding sequences to suit your preferences! Until the development of System Builder, you had to bid the way the software developer thought you should bid. Now, you can attach your own meanings to any bid in any sequence of bids. If you like to open 2 with 18-19 HCP and a flat hand, you can do so. If you want to build your own forcing 1 system, you can. Experiment with a Multi 2 opener. Play step responses to 2 openers. Open 1 with 4/4/3/2 hands. Play CRASH over 1NT openers. Try Puppet Stayman. Let your creative/analytic designer loose! You can become a system designer, a bridge programmer. Use Buff and System Builder in concert to ‘debug’ your design. Your bidding routines are saved to a file that can be used by other Bridge Buff or Visual Deal users. Partners can work out new sequences independently, then merge their efforts. We hope that users will send to us Builder files they design and we, in turn, will upload them to our web site so other users can share them. After you have designed your bidding sequences, ask Buff to incorporate those sequences into Buff’s bidding framework. Buff will tell you when it is making one of your Builder bids, and will even tell you why it didn’t make a Builder bid. Home Bridgeware copyright 1992 to 2007 Email ",4);arrFiles[15]=new Array(16,"cardeditor.html","4 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder convention card editor This is a full-featured ACBL convention card printer editor that you can use to save, edit and print convention cards in exact ACBL format. You can also save Buff conventions in this format, so they can be loaded into the editor for printing. Home Bridgeware copyright 1992 to 2007 Email ",2);arrFiles[16]=new Array(17,"contact.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder contact us For any post-installation issues you think you might have, go here first. Phone 1.800.932.5168. In the Toronto region, call 416.463.2689. Write BridgeWare, PO Box 65077, RPO Chester, Toronto ON Canada, M4K 3Z2 Email bridgeware@gmail.com. Home Bridgeware copyright 1992 to 2007 Email ",3);arrFiles[17]=new Array(18,"conventions.html","6 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Convention List 1NT Forcing 2D Waiting 2NT Flannery Ask 2NT Roman Ask 2NT Stopper Ask 4-Suit Transfers 4th Suit Forcing 5-Card Majors Astro Becker Bergen Raises Blackwood Brozel Cappelletti Cheapest Minor Neg Checkback Stayman Constructive Raises Cue Bids Cue Raises DONT DOPI/DEPO Drury Fast/Slow Arrival Fit Showing Raises Flannery Flannery Defence Forcing 1NT Forcing Stayman Fourth Suit Forcing Gerber Include 5-Major in NT Inverted Minors Jacoby 2NT Jacoby Transfers Jordan 2NT Kaplan Interchange Keycard Blackwood Landy Lebensohl Leben Over Weak Two Limit Raises Michaels Multi 2D Negative Doubles Neg X After 1NT Negative Free Bids New Minor Forcing New Suit Forcing Preemptive Raises Puppet Stayman Rescue Bids Responsive Doubles Reverse Drury Roman 2D Roman Keycard Blackwd Sandwich 1NT Semi-Forcing 1NT Smolen Stayman Strong Two Clubs Support Doubles Suction Support Redoubles Swiss Texas Transfer Two Over One GF Two-Way Drury Unusual NT Weak Two Bids Weak Jump Overcalls Western Cue Bids Favorite Toy (Jammer 2D) Another Favorite (MONK) And .. Transfer Responses Top of List Conventions Bridge Buff plays a large number of popular conventions. Most of these you can switch on or off. You can also play separate conventions for North-South and East-West. Browse the list to the right of this page. Some of you adventurous types might have fun with Jammer 2 , and MONK , although they are not played by Buff. Also here is a system that features transfer responses to the 1 opener. 2D Waiting After an artificial strong 2 opening, a 2 response is a  \'waiting \' bid and can be very weak (often) or possibly strong with no outstanding suit to bid. Opener and responder clarify their holdings on their rebids. 2NT Flannery-Ask Flannery is a 2 opening bid which shows 5 hearts and 4 spades. 2NT asks for more details. 3 shows a 4/5/1/3 or 4/5/0/4 hand. 3 shows a 4/5/3/1 or 4/5/4/0 shape. 3 shows a weak 4/5/2/2. 3 shows a strong 4/5/2/2. 3NT shows a strong 4/5/2/2, with stoppers in the minors. There is a special defense to this convention. 2NT Roman-Ask Roman 2 bids are available in 12-15 and 17-20 ranges. They show 3-suited hands (4/4/4/1 or 5/4/4/-) with unspecified shortness. To find the shortness, responder bids 2NT, and opener bids his short suit 2NT Stopper-Ask After a Weak 2-Bid , responder can query opener with 2NT for aces or kings in lower-ranking suits. After 2 /2NT, responder bids 3 with the diamond ace or king. This treatment is useful when probing for a stopper for a notrump contract. 4-Suit Transfers After an opening bid of 1NT, responses of 2 shows hearts, and 2 shows spades. Additionally, you can play that 2 shows clubs, and 2NT shows diamonds, usually in a weak hand. This means that with an invitational balanced hand you cannot use 1NT-2NT as a direct raise, and you must start with a  \'phantom Stayman 2 , then rebid 2NT, even if you do not have a four-card major. 5-Card Majors An opening bid of 1 or 1 must be at least 5 cards long. You may open in a minor suit with as few as 3. Open 1 with xxxxx/AKJx/AKQ/x, and 1 with AKxx/AKxx/xx/xxx. Used with the Forcing 1NT , See also Constructive Raises , Bergen Raises , Cue Raises , Jacoby 2NT , Jordan 2NT , Limit Raises , Preemptive Jump Raises . Astro This is a system of responses to an opponent \'s opening bid of 1NT. 2 = hearts and a minor suit. 2 = spades and another suit. Other bids are natural. Overcaller might bid 2 with xx/KQJxx/KQxxx/x or 2 with QJTxx/x/xx/KJTxx. Becker This is a simple system of responses to an opponent \'s opening bid of 1NT. Dble = same range. 2 = both minors. 2 = both majors. Others bids are natural. Overcaller might bid 2 with KQTxx/QJTxx/x/xx with vulnerability favorable. Bergen Raises Bergen Raises are preemptively-based major suit raises. With 4 trumps after a 1 opener, responder will bid 3 with 8-9 HCP, 3 with 10-12- HCP. With less than 7 HCP, and shortness, responder will bid 3 (Kxxx/x/xxxx/xxxx). With 12+, force with Jacoby 2NT. With less than 7 and no shortness, bid 2 . With 3 trumps, bid normally. See also Constructive Raises , Cue Raises , Jacoby 2NT , Jordan 2NT , Limit Raises , Preemptive Jump Raises . Blackwood Blackwood is a 4NT bid asking for aces. Responder bids 5 with 0 or 4, 5 with 1, 5 with 2, and 5 with 3. A following 5NT asks for kings, but is never bid without partnership possession of 4 aces. Cue-bids are preferable to Blackwood if there is a possiblity of you missing both the ace and king in a suit. See also Roman Keycard Blackwood. Brozel This is a system of responses to an opponent \'s opening bid of 1NT. It revolves around the heart suit. Dble  =  some one-suited hand. 2 = hearts and clubs. 2 = hearts and diamonds. 2 = hearts and spades. 2 = spades and a minor. 2NT = both minors. Cappelletti Cappelletti is a method to describe various kinds of hands over a 1NT opener. Double is for penalties. 2 is a 1-suited hand. 2 = majors. 2 = hearts plus a minor. 2 = spades plus a minor. 2N = minors. This is probably the most popular system, although it is deeply flawed. See MONK for a far better method, we think. Cheapest Minor Negative After an artificial strong 2C opening and an ambiguous 2 response , responder shows a weak hand by bidding his cheapest minor. After 2 /2 //2 , 3 is a weak hand, saying nothing about clubs.  Checkback Stayman After opener \'s xNT rebid, responder can investigate opener \'s major-suit holdings. Opener (1) bids an unbid 4-card major, or (2) shows 3-card support for responder \'s bid major, or (3) bids diamonds. Similar to New Minor Forcing . Constructive Raises This is an attempt to narrow the 5-9 range of the normal 1 Major - 2 Major sequence. After a 1 opening, playing Constructive raises, responder shows the 5-7 range by first bidding 1NT Forcing , then rebidding 2 . He shows an 8-9 range by directly bidding a constructive 2 . The disadvantage to this method is that opener cannot know, after a 1NT response, whether the 2 bid is simply a preference with 2 spades, or a  \'real \' minimum raise with as many as 4 spades. See also Bergen Raises , Cue Raises , Jacoby 2NT , Jordan 2NT , Limit Raises , Preemptive Jump Raises . Cue Bids These are bids that show controls (aces and kings) in the bid suits, usually used to probe for slam. Holding say AKxxxx/AKxx/xx/A, opener starts 1 and partner offers a limit raise to 3 . There are clearly excellent chances for slam, but it would be dangerous to launch Blackwood holding a small doubleton club. Opener should bid 4 a cuebid, hoping that partner can show a diamond control. If he cannot, opener should be content with game. Responder might have either QJxx/QJx/Qx/KQJx (no slam) or QJxx/QJxx/AKx/xx (grand slam). Cue Raises In competitive sequences, responder cuebids an opponent \'s bid to show a limit raise or better in opener \'s major. This treatment is also used on defence. A jump raise in competition is therefore preemptive. After 1 /2 , 3 is preemptive, maybe holding x/QJxx/xxxxx/xxx, and 3 shows a limit raise or better, maybe holding x/QJxx/AKJxx/xxx. DONT Stands for Double Openers NT. After an opening 1NT, double shows a 1-suited hand, and a bid of a suit shows that suit, plus a higher-ranking one. 2 is natural. DOPI/DEPO DOPI is acronym for Double with 0 (none), Pass with 1. DEPO is Double with Even, Pass with Odd. Then bid up-the-line. Used if opponents interfere with your Blackwood query. Drury Variations Sometimes opener will open in third or fourth seat with skinny values. Drury is an artificial 2 response that can be used by responder to check if opener had full values for his MAJOR suit opener. It was devised by Doug Drury, a Torontonian, to protect himself against the outrageous third seat openings of his partner, Eric Murray. With normal Drury, after 1 /2 //?, opener bids 2 to show  substandard values (perhaps he opened 1 with KQJxx/Axx/xx/xxx) and another bid would show a legitimate opener. Using Reverse Drury, opener rebids his suit to show the substandard holding. Responder, a passed hand, will normally have a fit with partner \'s suit, and limit raise or better values. Another variation is 2-Way Reverse Drury, which uses 2 to show 3-card trump support, and 2 to show 4-card support. Opener rebids 2 of his suit to show a sub-minimum, and any other suit to show a standard or better opener. Fit Showing Raises After a major suit opener, responder can show a hand with four trumps and a side suit in an invitational raise. Responder might bid 3 after a 1 opener holding Jxxx/x/xxx/AKJxx. Fast/Slow Arrival In a game-forcing sequence, a fast jump to game is not as strong as a slower route to game. This approach creates more room for slam exploration.Consider the auction 1 /2 //2 /?? where the 2 response was game forcing. If responder bids 4H, it shows a weaker hand than 3 . Flannery Flannery is a 2D opening bid which shows 5 hearts and 4 spades. 2NT asks for more details. 3 shows a 4/5/1/3 or 4/5/0/4 hand. 3 shows 4/5/3/1 or 4/5/4/0. 3 shows a weak 4/5/2/2. 3 shows a strong 4/5/2/2. 3NT shows a strong 4/5/2/2, with stoppers in the minors. There is a special defence to this convention, see below. Flannery Defence Flannery is a 2D opening bid which shows 5 hearts and 4 spades. Overcaller defends as follows: 2 is like a takeout double of hearts, which shows the other three suits; 2 /3 /3 are natural; 2NT shows the minors; double shows a strong NT hand. Forcing 1NT Responder \'s 1NT to an opening major is a 1-round force. Playing two over one , the bid can have as many as 12- points, and can show a variety of hands. Opener rebids his suit with 6+, or shows a 2nd suit (4+ hearts, or 3+ minors). He jumps to the next level with these shapes and 18+ points. A variation of this is called a Semi-Forcing 1NT. Using this, opener can pass the 1NT response with 5332 shape and a minimum hand, up to about a bad 15 HCP. Forcing Stayman Playing Forcing Stayman (2-Way Stayman), 2 is non-forcing, and 2 is game-forcing. Opener bids 2 with 4 hearts or both 4 hearts and 4 spades, 2 with 4 spades, 3 with 5 in the suit, and 2NT with none of the above. Fourth Suit Forcing In an uncontested auction, if responder bids the fourth suit, that is a bid of convenience, it is forcing to game, and it says nothing about the suit bid (however often responder will hold 2 or 3 small in it). For example reponder holds Axx/Kxxx/xx/AKxx and the auction proceeds 1 /1 //1 /?. Responder has enough to force to game, yet no bid is suitable. He cannot bid notrump without a diamond stopper, he can \'t support partner. An artificial 4th Suit Forcing bid of 2 stands out. Gerber Gerber is a 4 ace-asking bid, like Blackwood . Gerber is only used when partner \'s preceding bid was some level of NT, and it is always Gerber when bid in that sequence. Responses are 4 =0 or 4 aces, 4 = 1 ace, 4 = 2 aces, and 4N = 3 aces. 5 goes on to query kings, with similar responses. Include 5-Card Major in Opening 1NT A growing trend is to open 1NT instead of 1 with a balanced hand like AQx/KJxxx/Kx/QJx. Usually this opening is reserved for 5/3/3/2 hands although some partnerships might include appropriate 5/4/2/2 hands. There is substantial evidence that a 5-3 major suit fit, with both hands balanced, will usually play as well in notrump as in the major. Responder, if he holds a 4-card major, will usually use Stayman to check opener \'s major-suit holdings, so a 5-4 fit will be found. This is often used with Puppet Stayman , which permits responder with an unbalanced 3-card major holding to check for a 5-card major in opener. Responder might hold x/Kxx/Axxxx/Kxx for example, and want to play in a 5-3 heart fit if it exists. Inverted Minor Raises Playing this, the meanings of 1 /2 and 1 /3 are reversed. 1 /2 shows 4+ trumps and 10+ points, whereas 1 /3 shows a weak, preemptive hand and 5+ trumps. The same holds true after a 1 opener. Jacoby 2NT Major Raise This is a forcing major raise with 4 trumps, and 12+ points. Opener (1) bids shortness at the three level (2) bids a 2nd 5+ suit at the 4-level (3) bids 4M/3N/3M with a minimum/good/excellent hand (bids less with more). See also Bergen Raises , Constructive Raises , Cue Raises , Jordan 2NT , Limit Raises , Preemptive Jump Raises . Jacoby Transfers These bids are made by responder after an opening xNT bid. They are often used by strong notrumpers so the  \'good \' hand will be hidden during play. 2 transfers to hearts, and 2 to spades. A direct 2 by responder shows a weak minor 2-suiter. Compare with 2-Way Stayman also called Forcing Stayman. Jordan 2NT If partner opens a major (say ), and overcaller doubles, you bid 2 with a minimum hand, 3 preemptively, and a Jordan 2NT as a limit raise or better. XX in this position shows 10+ points, and tends to deny opener \'s suit. See also Bergen Raises , Constructive Raises , Cue Raises , Jacoby 2NT , Limit Raises , Preemptive Jump Raises . Kaplan Interchange After an opening bid of 1 , there is an advantage to switching the 1 and 1NT (forcing) responses. This is called the Kaplan Interchange. Suppose responder does NOT have spades but does have a typical 1NT force. Playing standard responses, you cannot play in 1NT, because that bid is forcing. However if you play the Kaplan Interchange, responder bids 1 with those hands, and opener with most minimum 5332 hands can now rebid 1NT to play, if responder agrees that is a good spot. The disadvantage is that when responder DOES have spades he must bid 1NT which bid is forcing, so the partnership cannot play 1NT (with normal methods they can, with opener rebidding 1NT ... 1 -1 //1NT). However the advantage outweighs the disadvantage, because responder will NOT have spades more often than he will have spades, so you will be able to settle in 1NT more often. Keycard Blackwood The terms Roman Keycard Blackwood (RKB) and Keycard Blackwood are both used. There are two version of RKB. Instead of asking for aces, 4NT asks for key cards. A key card is an ace, OR the king of trumps, so there are 5 key cards in total. After 4NT, one version is called 0314 KCB. A response of 5 shows 0 or 3 key cards, and 5 shows 1 or 4 key cards. You should know what the actual number is using bridge logic and looking at your hand. Another version is called 1430 KCB, where the meanings of 5 and 5 are reversed. There are technical reasons for slightly preferring 1430, but there are holdings and situations where 0314 works best, so use whatever is most comfortable for you. After a 5 or 5 reply, the 4NT bidder can then ask for the trump Queen by bidding the next higher suit. A response to that of one-level higher denies the Q, and a response two levels higher confirms the Q. In the auction 4NT/5 //5 /5 , playing 0314, 5C says 0 or 3 key cards, 5 asks for the Queen of trumps, 5 denies it. In the auction 4NT/5 //5 //5 playing 1430, 5 says 1 or 4 key cards, 5 asks for the trump Queen, 5 says  \'I have it \'. Using either 0314 or 1430, a response of 5 shows 2 (or 5) key cards without the trump Q, and 5 shows 2 (or 5) key cards with the trump Q. You can ask for number of Kings by bidding 5NT. Since the whereabouts of the trump King should be known, there are only three outstanding kings. Responses are 6 = 0, 6 = 1, 6 = 2 and 6 = 3. Landy Over an opening 1NT bid, an overcall of 2 shows the majors. Other bids are natural. Lebensohl Lebensohl is a system of responses when opener bids 1N, and overcaller interferes at the 2-level. Responses at the 2-level are to play. Bids at the 3-level are forcing. 2NT is a relay to 3 . A  \'fast \' jump to game denies a stopper in the bid suit; whereas a  \'slow \' sequence, starting with 2NT, shows a stopper. See also Negative Doubles in this position. Lebensohl Over Weak Twos After overcaller has doubled a weak two bid, it is useful for advancer to be able to tell overcaller if his bid shows values. For example, after a 2 /X/P/? auction, advancer might be weak with xx/QJxx/xxxx/xxx and be forced to bid 3 , or he might have quite a decent hand with xx/KQxx/Axxx/xxx and be happy to bid 3 . Overcaller is forced to guess which hand advancer might have. Advancer can use an artificial Lebensohl 2NT bid here to show a weak hand. The doubler is forced to bid 3 , and advancer can then pass (with a weak club hand) or bid his suit ... in our example with xx/QJxx/xxxx/xxx he would bid 3 . That complete auction would be 2 /X/P/2NT//P/3 /P/3 . Lebensohl is invoked if advancer has less than about 8 points. With more than 11 or so, advancer will try a game, so the direct 3-level suit bid is in the 8-11 range. With xx/KQxx/Axxx/xxx advancer bids 3 over the takeout double. Limit Raises After a major suit opening, a limit raise has11-12- points, with adequate trump support. After 1 , bid 3 with 4 trumps, with Kxxx/Axxx/Axx/xx. With 3 trumps, with Kxx/Axxx/Axxx/xx, start with a forcing 1NT , then rebid 3 . See also Bergen Raises , Constructive Raises , Cue Raises , Jacoby 2NT , , Preemptive Jump Raises . Michaels This is a defensive bid, usually showing a weak two-suited hand. A cuebid of opponent \'s major suit shows the other major, plus a minor. A minor-suit cuebid shows both majors. Multi Two Diamonds Much of the non-North American world plays 2 as a multi purpose bid. It shows a Weak Two Bid in EITHER hearts or spades, OR some kind of strong hand, often a big 3-suiter. The Bridge Buff variety limits the meanings to just the weak two bids. After opener opens 2 , if responder has length in only one major, he should tread carefully because usually opener will have his shorter major. Here are the responses that Buff uses. 2 is pass or correct to 2 . 2 is pass or correct (and shows heart interest). 2NT asks for clarification (3 is strong 2 , 3 is strong 2 , 3 is weak 2 , 3 is weak 2 ). 3 /3 are natural. 3 is preemptive in BOTH majors. Others are natural. There are many many defenses to the multi opening. Bridge Buff uses a very simple natural one. Double shows 13-15 (or 19+) both majors stopped. 2NT shows 16-18 both majors stopped. All suitbids are natural. Negative Doubles This is an offensive bid that shows the unbid suits, rather like a takeout double by the defenders. Most low-level doubles are negative doubles; rarely they are responsive . It is not so important that the unbid MINOR is the proper length. Here 1 /1 /X shows four hearts, but doesn \'t guarantee diamond length. In the common sequence 1 /1 /??, most play that Double shows four spades (with almost no consideration of club length), and a 1 response shows five or more spades. Negative Doubles After 1NT Opener Playing Weak (12-14 HCP) Notrumps, it is sometimes useful to be able to use a negative double after a natural overcall of 1NT.Of course, it is sometimes useful to be able to use a penalty double as well, so the partnership will have to decide which treatment is more useful. After 1N/2 , playing negative doubles, responder might double with say QTxx/xx/ATxx/QJx, looking for a partial. If opener holds good hearts, he can choose to pass and defend. Negative Free Bids The auction has been 1 - 2 - ?? to you as responder. You hold KQTxxx/xx/xxx/xx. Using standard methods responder needs about 10 or so HCP to bid 2 in this position, so that bid is out, leaving a negative double as the only alternative (or pass). After the double you hope to be able to get back into the auction at a later point to show your spades. However sometimes the opponents will preempt and make it difficult and dangerous for you to bring them in later. Playing Negative Free Bids, you are allowed to bid 2 directly with that previous hand. A 2 response would show about 5 to 11 HCP. The illustrated hand is about as weak as the bid should be. Now you might wonder what one does with a GOOD 2 bid holding maybe KQTxxx/xx/AKx/xx. With that hand, you make a negative double. Now when you bring spades into the picture later in the auction, it is far safer to do so, and opener will treat your spade bid as game-forcing, showing 12+ points. Playing Negative Free Bids, you also make  \'standard \' negative doubles, so if responder held say Kxxx/xx/KQxx/xxx, he would still double. The double does not promise a big hand ... the big hand is revealed later in the auction, after the double, when responder bids his suit. New Minor Forcing After a NT rebid, responder can force opener to bid again by bidding the unbid minor; eliciting information about opener \'s major-suit holdings. See also Checkback Stayman . Opener \'s priorities are in this order: (1) shows an unbid four-card major (2) supports partner \'s major with three of them (3) denies either (1) or (2) with the cheapest available bid (which will be 2 over a 2 query, or 2NT over a 2 query). New Suit by Responder is Forcing A new suit by responder is forcing, even if it is lower-ranked than the first suit. Don \'t confuse this with Fourth Suit Forcing . Holding AKxxx/KQJx/xx/xx, responder can bid a forcing 2 in the sequence 1 /1 //2 /??. The bid is forcing one round, not necessarily to game. Of course this means responder cannot bid 2 with a weak hand like Axxxx/QTxx/xx/xx, and must pass in this sequence. Preemptive Raises In the majors, a jump raise in competition is preemptive. After 1 /2 /??, a 3 bid is preemptive, holding maybe x/QJxx/xxxxx/xxx. The same bid might be made as advancer in the sequence 1 /1 /2 /??. Puppet Stayman After a 1NT opener that could include a 5-card major , many partnerships use Puppet Stayman. If responder is balanced with a 3-card major, say xx/Kxx/Axxx/Kxxx, he probably will not bother to check if opener holds 5 hearts on the theory the hand will play as well in 3NT as in 4 . However with say x/Kxx/Axxxx/Kxxx he will want to check. After 1NT/2 //? Puppet Stayman, opener bids 2 = no 5-card major, 2 / = 5 hearts/spades. When opener bids 2 , after 1NT/2 //2 /? responder bids 2 = 4 spades, 2 = 4 hearts, 2N = 4 spades AND 4 hearts. Rescue Bids Playing Weak NoTrumps, it is useful to scramble effectively if Responder has a weak hand. Over an opponent \'s double, Responder passes if he wants to play there, with a 1-suiter he Redoubles forcing Opener to bid 2 , with a 2-suiter he bids the lower of his suits, and Opener decides. This has similarities to DONT . Responsive Doubles A double by advancer, after overcaller has bid, and after responder has raised opener \'s suit, is responsive, and shows the unbid suits, special attention being paid the majors. It is similar in nature to negative doubles , although not so common. In the sequence 1 1 /2 /??, a responsive double would guarantee four spades, and hint at some diamond length. Roman 2D Roman 2 is a 3-suited hand with unspecified shortness. It is played in Weak (12-15) and Strong (17-20) ranges. Partner bids 2NT to ask for the short suit. With AQxx/KQxx/Kxxx/x open 2 , and rebid 3 if responder queries with 2NT. Otherwise bids are  \'pass or correct \'. With Axxx/Kxxx/xx/xxx, responder bids 2 (he  \'passes \') over 2 . If that is one of opener \'s suits, opener will pass. If opener has AQxx/x/KQxx/Kxxx, he will bid 2 (he  \'corrects \') over the 2 response. Sandwich 1NT After the auction 1 /P/1 /?, advancer might want to enter the auction with a shapely hand with length in both unbid suits, maybe here with KJxxx/x/QJxxx/xx. A Sandwich 1NT bid shows this kind of hand. A conventional takeout double would show more defence. A takeout double in this position has more HCP and less shape, maybe a hand like this ...  KQxx/Kx/AKJx/xxx. Smolen After a 1NT opening, it can be useful for responder to be able to show a good hand with 5-4 majors. He first bids Stayman, then after a 2 denial by opener, he jumps to the three level in his four card suit (so opener will be declarer if the partnership has a 5-3 major fit) .. this agreement being called Smolen. Responder holds KQxxx/AQxx/xx/xx, and he bids 2 Stayman after partner opens 1NT. If opener rebids 2 to deny a 4-card major, responder jumps to 3 . Opener holding AJx/KJx/AKxxx/xx can then choose between 3NT and 4 , and holding a small doubleton club he chooses the 5-3 major fit. With AJx/KJx/Axx/Kxx he might choose to bid 3NT. Rarely, he opts for the 4-3 heart fit, perhaps with something like Ax/KJx/AKQxx/xx, on a hand where he judges the partnership might be off the first five+ club tricks in 3NT. Stayman A 2 response to a 1NT opener, or a 3 response to a 2NT opener, is a major-suit query. Opener bids 2 with neither, 2 with both or hearts, and 2 with 4 spades. The probe is usually to find the right game, but it can be made with an invitational-strength hand. Strong Two Clubs A 2 opening is strong, artificial and forcing. It says nothing about clubs. Opener will describe his hand on his rebid. Opener may have a strong flat hand, in which case he will rebid some level of NT. Or he may rebid a suit. Responder will often (usually) respond with a Waiting 2D . Suction Suction is an increasingly popular defensive system to a 1NT opener. The suit bid shows either (1) the suit above it, or (2) the other two suits. 2 = diamonds, OR hearts and spades. 2 = hearts, or spades and clubs. 2 = spades, or clubs and diamonds. 2 = clubs, or diamonds and hearts. 2NT shows the other two-suiter possibilities, pointed diamonds and spades, or rounded clubs and hearts. When overcaller has a one-suiter, Suction acts as a transfer and the opening 1NT bidder finds himself on lead. Partner will almost always bid the next suit. If overcaller bids 2 (hearts or spades and clubs), partner will usually bid 2 which overcaller will pass or raise if he has hearts. If he has the two-suiter, he will bid 2 , and partner will pass or raise or correct to clubs. Note if 2 is passed out, the NT bidder is on lead. Support Doubles and Redoubles Used by opener to show exactly 3 trump support for responder \'s suit, whereas a direct raise shows 4 trump support. In the auction 1 /P/1 /1 //??, 2 shows four trumps whereas double would show exactly three trumps. A redouble can be used in the same manner. In the auction 1 /P/1 /X/??, 2 shows four trumps and the Support Redouble shows exactly three trumps. Swiss After a major suit opener, these bids show 13-15 HCP and four trumps in a fairly balanced hand. 4 shows 2 of the top 3 honors. 4 denies 2 of the top 3 honors. After partner opens 1 , bid 4 with QJx/AQxx/KQxx/xx and 4 with QJx/Axxx/KQxx/Qx. Texas Transfer Responder transfers to 4 with 4 , and to 4 with 4 , after an opening NT bid, hiding the stronger hand. Related to Jacoby Transfers . Two Over One Game Force In Standard American the sequence 1 /2 shows as few as 10 points. Playing Two Over One, this sequence shows 12+ points and is game-forcing. The 10 to 12- point hands are often started with a 1NT forcing sequence. Unusual NT A premptive NT overcall of a major, shows a weak 2-suited hand. It can be played as showing both minors only, but is more flexible as showing the two lowest unbid suits (both minors defaulted when a major suit is bid. Holding x/xx/KQxxx/QJxxx, responder bids 2NT over an opening bid of 1 . Holding x/KQxxx/QJxxx/xx, responder bids 2NT over an opening bid of 1 . Weak Two Bids Bids of 2 , 2 and 2 are usually played as  \'weak \', showing a 6-card suit and 6 to 11 or so points. Strong hands are opened with 2 . 2NT asks for opener \'s side strength (A or K in lower-ranking suit).Open 2 with xx/KQJxxx/Kxx/xx. Weak Jump Overcalls Jump bids by defenders are usually weak hands with good suits.Over a 1 opener, overcaller might bid 2 with x/KJTxxx/xxx/xxx or 3 with x/KJTxxxx/xx/xxx. Western Cue Bids A cue-bid in the opponent \'s suit in a competitive auction where no major fit is evident, is a request for partner to bid NT if he can  \'stop \' their suit.Holding say Kx/xx/AKJxx/AKxx, after the auction 1 /P/1 /2 //?? opener might rebid 3 which would ask responder to bid 3NT with a heart stopper. Return to top Home Bridgeware copyright 1992 to 2007 Email ",57);arrFiles[18]=new Array(19,"converted.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder pip converter Here is an example of a before and after text, put through the Pip Converter utility. Original text Converted text Home Bridgeware copyright 1992 to 2007 Email ",2);arrFiles[19]=new Array(20,"Dear John.doc","25 Oct 2006","Dear John","","","  Dear John  Remember when the auction went 1H-1S-2C-2D, and I held  x/AKQxxx/Kxxx/xx ,  or wait, maybe I had five diamonds, anyway the auction went off the rails  and I think we should discuss our system.  Bob  ",19);arrFiles[20]=new Array(21,"Dear John_pips.doc","25 Oct 2006","Dear John_pips","","","  Dear John  Remember when the auction went 1!-1 -2#-2 , and I held  x/AKQxxx/Kxxx/xx ,  or wait, maybe I had five diamonds, anyway the auction went off the rails  and I think we should discuss our system.  Bob  ",19);arrFiles[21]=new Array(22,"downloadbuff.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder same day download purchase 1.800.932.5168 .. 59.95 (US) Save 5 shipping and handling! Place a phone order, and we will email you a link to download the Bridge Buff package. The download is less than 12 megs, so even on a dial-up connection it should complete in 30 to 40 minutes or so. Then all you do is open the zipped file, and install. We save on mailing and handling, and you get it faster and more reliably. Home Bridgeware copyright 1992 to 2007 Email ",3);arrFiles[22]=new Array(23,"downloads.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder downloads Bridge Buff 9 Demo Bridge Buff 9.0 is available as a demo. It has a similar  \'look and feel \' to version 15. This is pretty much a full-featured program, except it is limited to 20 internally-dealt hands. Click here to download the installation program (5.5 Megs). Random Sample Deals Here are 4000 randomly dealt hands that were dealt and bid by Visual Deal . The file is only 400 KBs and will download relatively quickly. Sample Sequencer Spreadsheet Download the Sequencer-produced spreadsheet that is described here . Home Bridgeware copyright 1992 to 2007 Email ",4);arrFiles[23]=new Array(24,"heartpip.gif","28 Sep 2003","heartpip.gif","","","",1);arrFiles[24]=new Array(25,"index.html","6 Nov 2006","Bridge Buff","bridge program, bridge player, bridge the card game, double dummy, double dummy analyser, deal generator, generate bridge hands, bridge squeezes, bridge bidding, bridge software, dummy play, bridge auction, bidding sequence, construct hands, construct br","","Home Products Conventions Purchase Downloads Links Searches Contact Us Bridge buff 15 Bridge innovations since 1992 Bridgeware has been providing the world bridge community with quality bridge software for 15 years.. Our software features state-of-the-art Artificial Intelligence , and now with Simulation Bidding . We don \'t think you can purchase bridge software anywhere that has this range of features and excellence! Download the Bridge Buff demo and see for yourselves. Included in the Bridge Buff package are Bridge Buff , Visual Deal , Convention Card Editor , Bid Buddy , Bid Sequencer , Pip Converter , System Builder. Searches Site Search Dedicated Bridge Web Search Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder 1.800.932.5168 ... 59.95 (US) The price for all products combined is 59.95 US (79.95 Cdn). The package upgrade price for users with previous versions is 49.95 (59.95 Cdn). You can download , or we will mail a CDROM for 5 anywhere in the world. Here is more information about special deals. System Requirements Bridge Buff and Visual Deal are 32-bit programs and run under Win98, WinNT, XP and other 32-bit Windows systems. Minimum requirements are a Pentium 200 or equivalent with 16 Megs RAM. Faster is better. Questions and Answers after installation Go here to resolve any issues you might think you have. Home Bridgeware copyright 1992 to 2007 Email Design inspired by James Koster ",6);arrFiles[25]=new Array(26,"insert.htm","1 Nov 2006","New Page 1","","","start finish ",1);arrFiles[26]=new Array(27,"jammer.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder jammer 2 Partner leans over the table and whispers, “Psst, pard, I found a terrific new gadget for our two diamond spot. It’s called Jammer, because it ‘jams’ the auction. Flannery is useful, but I never seem to have the hand for it. Jammer comes in different versions, and the one I like happens almost FOURTEEN times as often as Flannery. That means you will open two diamonds in first seat as often as you open one spade or one club . Jammer is a suitless pre-empt, about as safe as a three-level opening with seven cards, and way less risky than those dumb six-card pre-empts you sometimes make. So it happens a whole lot, it carries acceptable risk, we will find defensive fits we could not otherwise, and it will really annoy the opponents. Interested?” I had to agree I was. Before I describe this bid, let me introduce the concept of the ‘lawfulness’ of a bid, which will show that Jammer is a relatively ‘safe’ bid, as well as facilitate a comparison of Jammer with other shape-showing bids. Consider a bid which serves primarily to identify the length of a suit or suits … for example a Michaels cuebid. How often can we expect the best fit with intervenor’s suits to comply with the Law? For a two heart bid showing spades and, say, clubs, some two spade contracts will have a combined seven trumps (advancer holds pattern 2=5=3=3 say) and some three club contracts will have ten trumps (advancer holds 2=2=4=5 say). Given a suitably large sample, what are the chances of the various holdings that might arise? According to the Law, it makes bridge sense to compete to the two level with eight trumps, and to the three level with nine trumps. In what follows I have ignored any implications due to skew, the notion that eight-zero fits might or might not be preferable to four-four fits. Now consider the symbolism ‘(A, B, C, D)’, where A is the percentage of times you will have two fewer trumps than the Law number (or worse), B is one fewer, C is the Law holding, D is more than the Law requires. In English, the summary approximately would be (% very poor fit, substandard, good, great). The calculation for some bids is trivial and available from published distribution tables … for a pre-empt with a seven card suit at the three level, 3 ~ (7, 26, 36, 31), simply reflecting the chances of the opening bid facing a void, singleton, doubleton, three or better. To investigate more complicated positions, you will need a hand generator and a suitably large sampling of deals. For a Michaels two heart bid showing spades and say clubs, 2 ~ (3, 19, 38, 40). Here the ‘good’ C element means in 38% of deals, the partnership will have either eight trumps for a two spade contract, or nine trumps for three clubs. The ‘poor’ A factor represents those misfits when intervenor has perhaps 5=2=1=5 pattern, and his thoughtless partner holds something like 1=5=5=2. Compared to other shape-showing bids, Michaels two hearts is very lawful ... those are low A and B elements … compare with the traditional three club opening above. Jammer Two Diamonds is a weak three-suiter, liberally defined to include three-card suits, so to include patterns 4-4-3-2 (22% of all hands), 5-4-3-1 (13%), 4-4-4-1 (3%) and 5-4-4-0 (1%), comprising in total some 39% of all hands. Consider it a modest pre-empt in one of three suits, with the suit not yet established, but with foreknowledge there is a good chance of a lawful fit. It is possible to play Jammer wide open as described, with nothing more known about the distribution of the hand. However at the end of the day, only half your fits will be lawful, since unfettered 2 ~ (14, 35, 30, 21), and the high A component will be too frisky for most partnerships (although still more lawful than six-card preempts at the three level!). If you did choose to play this, with a range of 4-9 HCP about 15% of your hands would qualify, and you would open two diamonds more often than any bid except pass. The pre-empt is safer if we know more about the hand, although opportunities to bid are fewer. I will describe two variations, one where opener guarantees at least four spades, another where the short suit is always clubs. The variant I prefer is long spade Jammer … same shapes, but opener guarantees at least four spades. At 2 ~ (7, 31, 34, 28), the B component is a little higher than you might like, but manageable. With a 4-9 HCP range, nearly 7% of your hands will qualify, so it will arise about as often as any bid you make. It is a little less lawful than a pre-empt with a seven card suit, but still, nearly two-thirds of your trump fits will be good or better. And it is not as if a B contract is the end of the world … most of that component reflects 4-3 fits at the two-level. The opponents have no way of knowing your fit is not good because you will not stagger into your contract, you just bid it with a big smile. When responding to Jammer, remember these facts. Opener is a 90% favorite to have a three-card suit. He will have four spades about 80% of the time, and five about 20%. Opener’s shortness will be two cards a little more than half the time, and a singleton most of the rest. If you have a two-suited hand, neither one spades, you are guaranteed a fit in one suit but remember it might be opposite opener’s three-suiter. You often have a fallback in the known spade suit. Even if you hold some balanced 4-4-3-2 shape, without four spades, you will have a poor fit just 6% of the time. Your most awkward responding hands are short one-suited like 2=5-3-3 with short spades, where often your length is opposite opener’s shortness, so you must be prudent with these. I will describe briefly the response principles I used to develop 2 ~ (7, 31, 34, 28). No system can produce a double dummy result, where you always land in the optimum contract. A double-dummy summary would be 2 ~ (0, 22, 44, 34), and the closer we can come to that, the better. Consider 2=3=3=5 in responder, an awkward holding for Jammer. The ‘book’ response is two hearts and not three clubs, tested over thousands of deals. However, when opener holds 4=3=1=5 you happen to land in a very poor 3-3 fit, missing the somewhat better 5-5. Oops, not good, but don’t lose sight of the fact that any shape-showing bid produces disastrous results from time to time; don’t you just love partner’s unusual notrumps when you hold 5=5=2=1? Opener will pass a response of two hearts, unless that is his shortness, in which case he will rebid two spades. He will pass two spades. He passes three clubs. The only forcing non-jump responses are two notrump, which asks for opener’s best minor but might be the start of an invitational sequence, and three diamonds (responder can pass two diamonds if weak with diamonds), which says bid your cheapest suit. The general rule for responder is simply this: bid the cheapest of two suits (and three spades constitutes a ‘suit’ in most cases), and be prudent with balanced hands. If you have four or more spades, bid spades unless you have five or more hearts, when you first should try two hearts. If you have a long club suit, bid three clubs and opener must pass. With long diamonds, pass. With both minors, bid two notrump. For strong or shapely hands, three hearts or spades are pre-emptive, but invitational if rebid after a two notrump query …. 2 /2N//3 /3 is invitational in spades. Three diamonds is forcing and says bid your suits up the line, skipping spades. For responder, the spade suit is a safe harbour. For example, holding 3=2=4=4 or 3=1=5=4 he might be tempted to try for opener’s best minor with two notrump, hoping for something like 4=1=5=3 in opener … but he should not because it does not pay off long term. Partner is marked with hearts, and too often will hold something like 4=5=1=3 or 4=4=2=3 (intervenor did not bid hearts), so responder should take his Moysian lumps in a two spade contract … 20% of the time partner will surprise with five of them. When in doubt, bid conservatively; the opponents will have no idea what kind of fit you have. Here are some examples of auctions where responder holds minimum hands, where the lawfulness of this small sampling is ~ (10, 30, 30, 30). Opener has Responder has Auction Category 4=1=5=3 3=5=3=2 2 /2 //2 4-3 cat B 4=4=2=3 3=4=4=2 2 /2 4-4 cat C 5=4=3=1 2=2=5=4 2 /2N//3 3-5 cat B 5=4=1=3 4=4=2=3 2 /2 5-4 cat D 4=1=5=3 4=6=2=1 2 /2 //2 4-4 cat C 4=3=2=4 1=3=3=6 2 /3C 3-6 cat D 4=1=3=5 2=7=3=1 2 /2 //2 /3H 2-7 cat B 4=1=4=4 2=5=1=5 2 /2 //2 /3C 4-5 cat C 4=1=3=5 0=4=4=5 2 /2 //2 /2N/3C 4-5 cat D 4=2=3=4 2=4=4=3* 2 /2 //2 /3 3-4 cat A Another interesting variant is Short Club Jammer, where the shortness is restricted to the club suit. This is a very lawful bid, and easy to use. The price you pay for increased lawfulness is reduced frequency. If you play a range of 4-9 HCP, some 4% of your hands will qualify, compared to 7% for the long spade version. Still, this is approximately four times as often as you would hold a weak two diamond bid, and about four times you make a seven-card pre-empt. For short club Jammer, 2 ~ (6, 22, 41, 31), more lawful than a seven-card three-bid. Responses for weak hands are these: bid a long major, pass with 5+ diamonds, bid two hearts with four hearts, bid two spades with four spades, pass with four diamonds. What remains are club one-suiters. With six or more clubs, bid three clubs … half the time partner will co-operate with two. With 2-3-3=5 clubs, pass with three diamonds or bid two hearts or spades … you will from time to time land in a 3-3 fit. For stronger responding hands there are many sensible bidding frameworks, maybe three diamonds invitational both majors, three hearts/spades invitational, and two notrump as a forcing relay to three clubs, then three diamonds forcing both majors, three hearts/spades forcing. How does the lawfulness of these openings compare to other shape-showing bids? Here are a few, listed in decreasing lawfulness of the bid. The ‘frequency’ guesstimate is necessarily crude, because style will be a large factor The frequency for the non-openers assumes the appropriate opening has already been made ... that is, for two heart Michaels, given that opener has opened one spade, intervenor will have the ingredients for a Michaels bid maybe 3% of the time. Law Summary Freq Flannery (2, 20, 44, 34) 0.5 % 2 Michaels (5/5) (3, 19, 38, 40) 3% 6-card Weak 2 (4, 19, 33, 44) 1% Landy (5/4+) (5, 20, 36, 39) 2% Short-Club Jammer 2 (6, 22, 41, 31) 4% Ekren 2 (9+ majors) (8, 18, 37, 37) 2% Any 7-card 3-Bid (7, 26, 36, 31) 1% Long-Spade Jammer 2 (7, 31, 34, 28) 7% 2 Michaels (5/5) (10, 31, 36, 23) 3% 5-card Weak 2 (16, 29, 31, 24) ? 3% Wide-Open Jammer 2 (14, 35, 30, 21) 15% 2N Opener Minors (5/5) (17, 35, 32, 16) 2% Any 6-card 3-Bid (24, 33, 28, 15) ? 4% There will be the usual vulnerability and positional considerations for pre-emptive bids. You might not want to play Jammer when vulnerable against not, or you might raise the HCP range to 8 to 11, say. Like any pre-empt, it will be most effective in first seat, when the opponents will be in game range half the time. In subsequent seats you might raise the HCP bar somewhat, or play another gadget for which you will never have the right hand. Smart defences will evolve, but for the beginnings of a Jammer defence, the opponents might try this: with balanced hands, double with 12-14 or 18+, and bid two notrump with 15-17. Suit bids are natural, but beware of possible length in opener. Pass then double would be takeout. Against long-spade Jammer, two spades would be a takeout double of spades. Jammer is as lawful as many bids you already use. It effectively jams the auction. It arises a lot. It should be an excellent addition to your bidding toolkit. Home Bridgeware copyright 1992 to 2007 Email ",62);arrFiles[27]=new Array(28,"links.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder links Toronto ACBL Unit 166 Bridge World Finessebridge Bobby Wolff Bridge Mentor Series Jonathan Steinberg .. ACBL District 2 Director Master Point Press Home Bridgeware copyright 1992 to 2007 Email ",4);arrFiles[28]=new Array(29,"logo.jpg","20 Oct 2006","logo.jpg","","","",4);arrFiles[29]=new Array(30,"mastercard.gif","1 Nov 2006","mastercard.gif","","","",2);arrFiles[30]=new Array(31,"menu.jpg","20 Oct 2006","menu.jpg","","","",1);arrFiles[31]=new Array(32,"monk.html","6 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder Monk Cappelletti is probably the most popular system used over 1NT openers. It is severely flawed. We introduce MONK, a far superior system. The one major drawback to MONK is you cannot make a penalty double, but it happens rarely that you want to make that bid, and the opponents cannot scramble to some relatively safe retreat. Major Oriented Notrump Killer Having played a weak notrump for several decades, I have encountered more disruptions to my notrump sequences than most players. Cappelletti , which is the current system of choice for most players, is easily countered and is ineffectual for a number of reasons. The 2 bid showing a one-suited hand is a major flaw. It has no preemptive value and is easily countered (perhaps double for Stayman, with transfers on). When responder bids something, advancer who might otherwise be happy to compete, doesn’t know overcaller’s suit and cannot show support that he might have. Double for penalties, even against a weak notrump, seldom gains a large penalty and a better use can be found for the bid (good run-out systems usually mitigate potential disasters). The 2 bid showing both majors cannot consistently find the optimum fit for 5-4 holdings, when partner has no preference. The 2 and 2 bids do not distinguish between 5-card and 6-card holdings, important for competitive Law decisions. Overcaller cannot show clubs at the two-level. MONK addresses these issues successfully. MONK focuses on the majors, which are the strongest weapons for the intervening side. MONK permits you to (1) distinguish between two suited majors ... even 5-4 holdings, (2) balanced 5332 majors, 3) majors with 6+ length, and (4) majors with a side minor. The MONK double also puts interesting pressure on a weak responder. 2 shows both majors, 5=4 or 5=5 or better. 2 is far preferable to 2 for this purpose, since partner can bid 2 (or double a 2 by opener \'s partner) to show no preference, equal major suit lengths. If he has a preference he bids it. This ensures the partnership will find the best fit when overcaller is 5=4 (when partner is 3=3 he bids 2 ). 2 shows a 5-card major with a side 4+ minor. Responses are somewhat similar to Multi 2 responses. The partnership uses pass or correct principles, and will usually respond 2 which is pass or correct to 2 . 2 is pass or correct (and shows heart interest). 2NT asks for minor-suit, 3 is preemptive in BOTH majors. Other bids are natural. 2 and 2 are natural, and show 6+ cards. That leaves hands with long minors, very strong hands, and 5332 major-suit hands. MONK uses Double to show one of those hands. Partner will usually bid 2 pass or correct, and overcaller will normally pass with clubs, bid 2 with diamonds, or bid 2 / with 5332 pattern. With a suitably strong hand, partner can convert the double to penalties. If overcaller has a very strong hand, he shows it by bidding 2NT or his suit at the 3-level. If responder bids before advancer, then any subsequent double by overcaller shows the strong hand. The ambiguous nature of the MONK double, complicates life for a weak responder, since he cannot know with certainty when his LHO might convert to penalties. If he is very weak, he just wants out of the auction. Suppose he holds xx/QTxx/xx/JTxxx. Ideally his RHO has diamonds, and LHO is too weak to pass the double, and he won’t have to trot out the run-out routines. But he cannot know for sure, and will often judge wrongly. Home Bridgeware copyright 1992 to 2007 Email ",11);arrFiles[32]=new Array(33,"newlook.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder bridge buff skins Here are some examples of the skins you can apply to Buff. At the top Buff menu, click Setup ... then Skins at top left. . Home Bridgeware copyright 1992 to 2007 Email ",3);arrFiles[33]=new Array(34,"pips.gif","23 Oct 2006","pips.gif","","","",3);arrFiles[34]=new Array(35,"prelim.xls","25 Oct 2006","prelim","","","sheet1 1 1N (1) A sample worksheet is displayed (2) For new one, click   \\ \'Options  \\ \', and make your choices 2 1N P 2} (3) Click   \\ \'Create Worksheet  \\ \', and wait a moment or two (4) Click   \\ \'File .. Save  \\ \' to save as *.XLS file 3 1N P 2{ (5) Edit the XLS file with EXCEL (or clone) 4 1N P 2] (6) Explain bids in this column, for example 5 1N P 2[ Shows both minors 6 1N P 2N Transfer to clubs 7 1N P 3} Puppet Stayman No five-card major 8 1N P 3{ 9 1N P 3] 10 1N P 3[ 11 1N P 3N 12 1N P 2} P 2{ 13 1N P 2} P 2] 14 1N P 2} P 2[ 15 1N P 2} P 2N 16 1N P 2} P 3} 17 1N P 2} P 3{ 18 1N P 2} P 3] 19 1N P 2} P 3[ 20 1N P 2} P 3N 21 1N P 2{ P 2] 22 1N P 2{ P 2[ 23 1N P 2{ P 2N 24 1N P 2{ P 3} 25 1N P 2{ P 3{ 26 1N P 2{ P 3] 27 1N P 2{ P 3[ 28 1N P 2{ P 3N 29 1N P 2] P 2[ 30 1N P 2] P 2N 31 1N P 2] P 3} 32 1N P 2] P 3{ 33 1N P 2] P 3] 34 1N P 2] P 3[ 35 1N P 2] P 3N 36 1N P 2[ P 2N 37 1N P 2[ P 3} 38 1N P 2[ P 3{ 39 1N P 2[ P 3] 40 1N P 2[ P 3[ 41 1N P 2[ P 3N 42 1N P 2N P 3} 43 1N P 2N P 3{ 44 1N P 2N P 3] 45 1N P 2N P 3[ 46 1N P 2N P 3N 47 1N P 3} P 3{ 48 1N P 3} P 3] 49 1N P 3} P 3[ 50 1N P 3} P 3N 51 1N P 3{ P 3] 52 1N P 3{ P 3[ 53 1N P 3{ P 3N 54 1N P 3] P 3[ 55 1N P 3] P 3N 56 1N P 3[ P 3N 57 1N P 2} P 2{ P 2] 58 1N P 2} P 2{ P 2[ 59 1N P 2} P 2{ P 2N 60 1N P 2} P 2{ P 3} 61 1N P 2} P 2{ P 3{ 62 1N P 2} P 2{ P 3] 63 1N P 2} P 2{ P 3[ 64 1N P 2} P 2{ P 3N 65 1N P 2} P 2] P 2[ 66 1N P 2} P 2] P 2N 67 1N P 2} P 2] P 3} 68 1N P 2} P 2] P 3{ 69 1N P 2} P 2] P 3] 70 1N P 2} P 2] P 3[ 71 1N P 2} P 2] P 3N 72 1N P 2} P 2[ P 2N 73 1N P 2} P 2[ P 3} 74 1N P 2} P 2[ P 3{ 75 1N P 2} P 2[ P 3] 76 1N P 2} P 2[ P 3[ 77 1N P 2} P 2[ P 3N 78 1N P 2} P 2N P 3} 79 1N P 2} P 2N P 3{ 80 1N P 2} P 2N P 3] 81 1N P 2} P 2N P 3[ 82 1N P 2} P 2N P 3N 83 1N P 2} P 3} P 3{ 84 1N P 2} P 3} P 3] 85 1N P 2} P 3} P 3[ 86 1N P 2} P 3} P 3N 87 1N P 2} P 3{ P 3] 88 1N P 2} P 3{ P 3[ 89 1N P 2} P 3{ P 3N 90 1N P 2} P 3] P 3[ 91 1N P 2} P 3] P 3N 92 1N P 2} P 3[ P 3N 93 1N P 2{ P 2] P 2[ 94 1N P 2{ P 2] P 2N 95 1N P 2{ P 2] P 3} 96 1N P 2{ P 2] P 3{ 97 1N P 2{ P 2] P 3] 98 1N P 2{ P 2] P 3[ 99 1N P 2{ P 2] P 3N 100 1N P 2{ P 2[ P 2N 101 1N P 2{ P 2[ P 3} 102 1N P 2{ P 2[ P 3{ 103 1N P 2{ P 2[ P 3] 104 1N P 2{ P 2[ P 3[ 105 1N P 2{ P 2[ P 3N 106 1N P 2{ P 2N P 3} 107 1N P 2{ P 2N P 3{ 108 1N P 2{ P 2N P 3] 109 1N P 2{ P 2N P 3[ 110 1N P 2{ P 2N P 3N 111 1N P 2{ P 3} P 3{ 112 1N P 2{ P 3} P 3] 113 1N P 2{ P 3} P 3[ 114 1N P 2{ P 3} P 3N 115 1N P 2{ P 3{ P 3] 116 1N P 2{ P 3{ P 3[ 117 1N P 2{ P 3{ P 3N 118 1N P 2{ P 3] P 3[ 119 1N P 2{ P 3] P 3N 120 1N P 2{ P 3[ P 3N 121 1N P 2] P 2[ P 2N 122 1N P 2] P 2[ P 3} 123 1N P 2] P 2[ P 3{ 124 1N P 2] P 2[ P 3] 125 1N P 2] P 2[ P 3[ 126 1N P 2] P 2[ P 3N 127 1N P 2] P 2N P 3} 128 1N P 2] P 2N P 3{ 129 1N P 2] P 2N P 3] 130 1N P 2] P 2N P 3[ 131 1N P 2] P 2N P 3N 132 1N P 2] P 3} P 3{ 133 1N P 2] P 3} P 3] 134 1N P 2] P 3} P 3[ 135 1N P 2] P 3} P 3N 136 1N P 2] P 3{ P 3] 137 1N P 2] P 3{ P 3[ 138 1N P 2] P 3{ P 3N 139 1N P 2] P 3] P 3[ 140 1N P 2] P 3] P 3N 141 1N P 2] P 3[ P 3N 142 1N P 2[ P 2N P 3} 143 1N P 2[ P 2N P 3{ 144 1N P 2[ P 2N P 3] 145 1N P 2[ P 2N P 3[ 146 1N P 2[ P 2N P 3N 147 1N P 2[ P 3} P 3{ 148 1N P 2[ P 3} P 3] 149 1N P 2[ P 3} P 3[ 150 1N P 2[ P 3} P 3N 151 1N P 2[ P 3{ P 3] 152 1N P 2[ P 3{ P 3[ 153 1N P 2[ P 3{ P 3N 154 1N P 2[ P 3] P 3[ 155 1N P 2[ P 3] P 3N 156 1N P 2[ P 3[ P 3N 157 1N P 2N P 3} P 3{ 158 1N P 2N P 3} P 3] 159 1N P 2N P 3} P 3[ 160 1N P 2N P 3} P 3N 161 1N P 2N P 3{ P 3] 162 1N P 2N P 3{ P 3[ 163 1N P 2N P 3{ P 3N 164 1N P 2N P 3] P 3[ 165 1N P 2N P 3] P 3N 166 1N P 2N P 3[ P 3N 167 1N P 3} P 3{ P 3] 168 1N P 3} P 3{ P 3[ 169 1N P 3} P 3{ P 3N 170 1N P 3} P 3] P 3[ 171 1N P 3} P 3] P 3N 172 1N P 3} P 3[ P 3N 173 1N P 3{ P 3] P 3[ 174 1N P 3{ P 3] P 3N 175 1N P 3{ P 3[ P 3N 176 1N P 3] P 3[ P 3N 177 1N P 2} P 2{ P 2] P 2[ 178 1N P 2} P 2{ P 2] P 2N 179 1N P 2} P 2{ P 2] P 3} 180 1N P 2} P 2{ P 2] P 3{ 181 1N P 2} P 2{ P 2] P 3] 182 1N P 2} P 2{ P 2] P 3[ 183 1N P 2} P 2{ P 2] P 3N 184 1N P 2} P 2{ P 2[ P 2N 185 1N P 2} P 2{ P 2[ P 3} 186 1N P 2} P 2{ P 2[ P 3{ 187 1N P 2} P 2{ P 2[ P 3] 188 1N P 2} P 2{ P 2[ P 3[ 189 1N P 2} P 2{ P 2[ P 3N 190 1N P 2} P 2{ P 2N P 3} 191 1N P 2} P 2{ P 2N P 3{ 192 1N P 2} P 2{ P 2N P 3] 193 1N P 2} P 2{ P 2N P 3[ 194 1N P 2} P 2{ P 2N P 3N 195 1N P 2} P 2{ P 3} P 3{ 196 1N P 2} P 2{ P 3} P 3] 197 1N P 2} P 2{ P 3} P 3[ 198 1N P 2} P 2{ P 3} P 3N 199 1N P 2} P 2{ P 3{ P 3] 200 1N P 2} P 2{ P 3{ P 3[ 201 1N P 2} P 2{ P 3{ P 3N 202 1N P 2} P 2{ P 3] P 3[ 203 1N P 2} P 2{ P 3] P 3N 204 1N P 2} P 2{ P 3[ P 3N 205 1N P 2} P 2] P 2[ P 2N 206 1N P 2} P 2] P 2[ P 3} 207 1N P 2} P 2] P 2[ P 3{ 208 1N P 2} P 2] P 2[ P 3] 209 1N P 2} P 2] P 2[ P 3[ 210 1N P 2} P 2] P 2[ P 3N 211 1N P 2} P 2] P 2N P 3} 212 1N P 2} P 2] P 2N P 3{ 213 1N P 2} P 2] P 2N P 3] 214 1N P 2} P 2] P 2N P 3[ 215 1N P 2} P 2] P 2N P 3N 216 1N P 2} P 2] P 3} P 3{ 217 1N P 2} P 2] P 3} P 3] 218 1N P 2} P 2] P 3} P 3[ 219 1N P 2} P 2] P 3} P 3N 220 1N P 2} P 2] P 3{ P 3] 221 1N P 2} P 2] P 3{ P 3[ 222 1N P 2} P 2] P 3{ P 3N 223 1N P 2} P 2] P 3] P 3[ 224 1N P 2} P 2] P 3] P 3N 225 1N P 2} P 2] P 3[ P 3N 226 1N P 2} P 2[ P 2N P 3} 227 1N P 2} P 2[ P 2N P 3{ 228 1N P 2} P 2[ P 2N P 3] 229 1N P 2} P 2[ P 2N P 3[ 230 1N P 2} P 2[ P 2N P 3N 231 1N P 2} P 2[ P 3} P 3{ 232 1N P 2} P 2[ P 3} P 3] 233 1N P 2} P 2[ P 3} P 3[ 234 1N P 2} P 2[ P 3} P 3N 235 1N P 2} P 2[ P 3{ P 3] 236 1N P 2} P 2[ P 3{ P 3[ 237 1N P 2} P 2[ P 3{ P 3N 238 1N P 2} P 2[ P 3] P 3[ 239 1N P 2} P 2[ P 3] P 3N 240 1N P 2} P 2[ P 3[ P 3N 241 1N P 2} P 2N P 3} P 3{ 242 1N P 2} P 2N P 3} P 3] 243 1N P 2} P 2N P 3} P 3[ 244 1N P 2} P 2N P 3} P 3N 245 1N P 2} P 2N P 3{ P 3] 246 1N P 2} P 2N P 3{ P 3[ 247 1N P 2} P 2N P 3{ P 3N 248 1N P 2} P 2N P 3] P 3[ 249 1N P 2} P 2N P 3] P 3N 250 1N P 2} P 2N P 3[ P 3N 251 1N P 2} P 3} P 3{ P 3] 252 1N P 2} P 3} P 3{ P 3[ 253 1N P 2} P 3} P 3{ P 3N 254 1N P 2} P 3} P 3] P 3[ 255 1N P 2} P 3} P 3] P 3N 256 1N P 2} P 3} P 3[ P 3N 257 1N P 2} P 3{ P 3] P 3[ 258 1N P 2} P 3{ P 3] P 3N 259 1N P 2} P 3{ P 3[ P 3N 260 1N P 2} P 3] P 3[ P 3N 261 1N P 2{ P 2] P 2[ P 2N 262 1N P 2{ P 2] P 2[ P 3} 263 1N P 2{ P 2] P 2[ P 3{ 264 1N P 2{ P 2] P 2[ P 3] 265 1N P 2{ P 2] P 2[ P 3[ 266 1N P 2{ P 2] P 2[ P 3N 267 1N P 2{ P 2] P 2N P 3} 268 1N P 2{ P 2] P 2N P 3{ 269 1N P 2{ P 2] P 2N P 3] 270 1N P 2{ P 2] P 2N P 3[ 271 1N P 2{ P 2] P 2N P 3N 272 1N P 2{ P 2] P 3} P 3{ 273 1N P 2{ P 2] P 3} P 3] 274 1N P 2{ P 2] P 3} P 3[ 275 1N P 2{ P 2] P 3} P 3N 276 1N P 2{ P 2] P 3{ P 3] 277 1N P 2{ P 2] P 3{ P 3[ 278 1N P 2{ P 2] P 3{ P 3N 279 1N P 2{ P 2] P 3] P 3[ 280 1N P 2{ P 2] P 3] P 3N 281 1N P 2{ P 2] P 3[ P 3N 282 1N P 2{ P 2[ P 2N P 3} 283 1N P 2{ P 2[ P 2N P 3{ 284 1N P 2{ P 2[ P 2N P 3] 285 1N P 2{ P 2[ P 2N P 3[ 286 1N P 2{ P 2[ P 2N P 3N 287 1N P 2{ P 2[ P 3} P 3{ 288 1N P 2{ P 2[ P 3} P 3] 289 1N P 2{ P 2[ P 3} P 3[ 290 1N P 2{ P 2[ P 3} P 3N 291 1N P 2{ P 2[ P 3{ P 3] 292 1N P 2{ P 2[ P 3{ P 3[ 293 1N P 2{ P 2[ P 3{ P 3N 294 1N P 2{ P 2[ P 3] P 3[ 295 1N P 2{ P 2[ P 3] P 3N 296 1N P 2{ P 2[ P 3[ P 3N 297 1N P 2{ P 2N P 3} P 3{ 298 1N P 2{ P 2N P 3} P 3] 299 1N P 2{ P 2N P 3} P 3[ 300 1N P 2{ P 2N P 3} P 3N 301 1N P 2{ P 2N P 3{ P 3] 302 1N P 2{ P 2N P 3{ P 3[ 303 1N P 2{ P 2N P 3{ P 3N 304 1N P 2{ P 2N P 3] P 3[ 305 1N P 2{ P 2N P 3] P 3N 306 1N P 2{ P 2N P 3[ P 3N 307 1N P 2{ P 3} P 3{ P 3] 308 1N P 2{ P 3} P 3{ P 3[ 309 1N P 2{ P 3} P 3{ P 3N 310 1N P 2{ P 3} P 3] P 3[ 311 1N P 2{ P 3} P 3] P 3N 312 1N P 2{ P 3} P 3[ P 3N 313 1N P 2{ P 3{ P 3] P 3[ 314 1N P 2{ P 3{ P 3] P 3N 315 1N P 2{ P 3{ P 3[ P 3N 316 1N P 2{ P 3] P 3[ P 3N 317 1N P 2] P 2[ P 2N P 3} 318 1N P 2] P 2[ P 2N P 3{ 319 1N P 2] P 2[ P 2N P 3] 320 1N P 2] P 2[ P 2N P 3[ 321 1N P 2] P 2[ P 2N P 3N 322 1N P 2] P 2[ P 3} P 3{ 323 1N P 2] P 2[ P 3} P 3] 324 1N P 2] P 2[ P 3} P 3[ 325 1N P 2] P 2[ P 3} P 3N 326 1N P 2] P 2[ P 3{ P 3] 327 1N P 2] P 2[ P 3{ P 3[ 328 1N P 2] P 2[ P 3{ P 3N 329 1N P 2] P 2[ P 3] P 3[ 330 1N P 2] P 2[ P 3] P 3N 331 1N P 2] P 2[ P 3[ P 3N 332 1N P 2] P 2N P 3} P 3{ 333 1N P 2] P 2N P 3} P 3] 334 1N P 2] P 2N P 3} P 3[ 335 1N P 2] P 2N P 3} P 3N 336 1N P 2] P 2N P 3{ P 3] 337 1N P 2] P 2N P 3{ P 3[ 338 1N P 2] P 2N P 3{ P 3N 339 1N P 2] P 2N P 3] P 3[ 340 1N P 2] P 2N P 3] P 3N 341 1N P 2] P 2N P 3[ P 3N 342 1N P 2] P 3} P 3{ P 3] 343 1N P 2] P 3} P 3{ P 3[ 344 1N P 2] P 3} P 3{ P 3N 345 1N P 2] P 3} P 3] P 3[ 346 1N P 2] P 3} P 3] P 3N 347 1N P 2] P 3} P 3[ P 3N 348 1N P 2] P 3{ P 3] P 3[ 349 1N P 2] P 3{ P 3] P 3N 350 1N P 2] P 3{ P 3[ P 3N 351 1N P 2] P 3] P 3[ P 3N 352 1N P 2[ P 2N P 3} P 3{ 353 1N P 2[ P 2N P 3} P 3] 354 1N P 2[ P 2N P 3} P 3[ 355 1N P 2[ P 2N P 3} P 3N 356 1N P 2[ P 2N P 3{ P 3] 357 1N P 2[ P 2N P 3{ P 3[ 358 1N P 2[ P 2N P 3{ P 3N 359 1N P 2[ P 2N P 3] P 3[ 360 1N P 2[ P 2N P 3] P 3N 361 1N P 2[ P 2N P 3[ P 3N 362 1N P 2[ P 3} P 3{ P 3] 363 1N P 2[ P 3} P 3{ P 3[ 364 1N P 2[ P 3} P 3{ P 3N 365 1N P 2[ P 3} P 3] P 3[ 366 1N P 2[ P 3} P 3] P 3N 367 1N P 2[ P 3} P 3[ P 3N 368 1N P 2[ P 3{ P 3] P 3[ 369 1N P 2[ P 3{ P 3] P 3N 370 1N P 2[ P 3{ P 3[ P 3N 371 1N P 2[ P 3] P 3[ P 3N 372 1N P 2N P 3} P 3{ P 3] 373 1N P 2N P 3} P 3{ P 3[ 374 1N P 2N P 3} P 3{ P 3N 375 1N P 2N P 3} P 3] P 3[ 376 1N P 2N P 3} P 3] P 3N 377 1N P 2N P 3} P 3[ P 3N 378 1N P 2N P 3{ P 3] P 3[ 379 1N P 2N P 3{ P 3] P 3N 380 1N P 2N P 3{ P 3[ P 3N 381 1N P 2N P 3] P 3[ P 3N 382 1N P 3} P 3{ P 3] P 3[ 383 1N P 3} P 3{ P 3] P 3N 384 1N P 3} P 3{ P 3[ P 3N 385 1N P 3} P 3] P 3[ P 3N 386 1N P 3{ P 3] P 3[ P 3N 387 1N P 2} P 2{ P 2] P 2[ P 2N 388 1N P 2} P 2{ P 2] P 2[ P 3} 389 1N P 2} P 2{ P 2] P 2[ P 3{ 390 1N P 2} P 2{ P 2] P 2[ P 3] 391 1N P 2} P 2{ P 2] P 2[ P 3[ 392 1N P 2} P 2{ P 2] P 2[ P 3N 393 1N P 2} P 2{ P 2] P 2N P 3} 394 1N P 2} P 2{ P 2] P 2N P 3{ 395 1N P 2} P 2{ P 2] P 2N P 3] 396 1N P 2} P 2{ P 2] P 2N P 3[ 397 1N P 2} P 2{ P 2] P 2N P 3N 398 1N P 2} P 2{ P 2] P 3} P 3{ 399 1N P 2} P 2{ P 2] P 3} P 3] 400 1N P 2} P 2{ P 2] P 3} P 3[ 401 1N P 2} P 2{ P 2] P 3} P 3N 402 1N P 2} P 2{ P 2] P 3{ P 3] 403 1N P 2} P 2{ P 2] P 3{ P 3[ 404 1N P 2} P 2{ P 2] P 3{ P 3N 405 1N P 2} P 2{ P 2] P 3] P 3[ 406 1N P 2} P 2{ P 2] P 3] P 3N 407 1N P 2} P 2{ P 2] P 3[ P 3N 408 1N P 2} P 2{ P 2[ P 2N P 3} 409 1N P 2} P 2{ P 2[ P 2N P 3{ 410 1N P 2} P 2{ P 2[ P 2N P 3] 411 1N P 2} P 2{ P 2[ P 2N P 3[ 412 1N P 2} P 2{ P 2[ P 2N P 3N 413 1N P 2} P 2{ P 2[ P 3} P 3{ 414 1N P 2} P 2{ P 2[ P 3} P 3] 415 1N P 2} P 2{ P 2[ P 3} P 3[ 416 1N P 2} P 2{ P 2[ P 3} P 3N 417 1N P 2} P 2{ P 2[ P 3{ P 3] 418 1N P 2} P 2{ P 2[ P 3{ P 3[ 419 1N P 2} P 2{ P 2[ P 3{ P 3N 420 1N P 2} P 2{ P 2[ P 3] P 3[ 421 1N P 2} P 2{ P 2[ P 3] P 3N 422 1N P 2} P 2{ P 2[ P 3[ P 3N 423 1N P 2} P 2{ P 2N P 3} P 3{ 424 1N P 2} P 2{ P 2N P 3} P 3] 425 1N P 2} P 2{ P 2N P 3} P 3[ 426 1N P 2} P 2{ P 2N P 3} P 3N 427 1N P 2} P 2{ P 2N P 3{ P 3] 428 1N P 2} P 2{ P 2N P 3{ P 3[ 429 1N P 2} P 2{ P 2N P 3{ P 3N 430 1N P 2} P 2{ P 2N P 3] P 3[ 431 1N P 2} P 2{ P 2N P 3] P 3N 432 1N P 2} P 2{ P 2N P 3[ P 3N 433 1N P 2} P 2{ P 3} P 3{ P 3] 434 1N P 2} P 2{ P 3} P 3{ P 3[ 435 1N P 2} P 2{ P 3} P 3{ P 3N 436 1N P 2} P 2{ P 3} P 3] P 3[ 437 1N P 2} P 2{ P 3} P 3] P 3N 438 1N P 2} P 2{ P 3} P 3[ P 3N 439 1N P 2} P 2{ P 3{ P 3] P 3[ 440 1N P 2} P 2{ P 3{ P 3] P 3N 441 1N P 2} P 2{ P 3{ P 3[ P 3N 442 1N P 2} P 2{ P 3] P 3[ P 3N 443 1N P 2} P 2] P 2[ P 2N P 3} 444 1N P 2} P 2] P 2[ P 2N P 3{ 445 1N P 2} P 2] P 2[ P 2N P 3] 446 1N P 2} P 2] P 2[ P 2N P 3[ 447 1N P 2} P 2] P 2[ P 2N P 3N 448 1N P 2} P 2] P 2[ P 3} P 3{ 449 1N P 2} P 2] P 2[ P 3} P 3] 450 1N P 2} P 2] P 2[ P 3} P 3[ 451 1N P 2} P 2] P 2[ P 3} P 3N 452 1N P 2} P 2] P 2[ P 3{ P 3] 453 1N P 2} P 2] P 2[ P 3{ P 3[ 454 1N P 2} P 2] P 2[ P 3{ P 3N 455 1N P 2} P 2] P 2[ P 3] P 3[ 456 1N P 2} P 2] P 2[ P 3] P 3N 457 1N P 2} P 2] P 2[ P 3[ P 3N 458 1N P 2} P 2] P 2N P 3} P 3{ 459 1N P 2} P 2] P 2N P 3} P 3] 460 1N P 2} P 2] P 2N P 3} P 3[ 461 1N P 2} P 2] P 2N P 3} P 3N 462 1N P 2} P 2] P 2N P 3{ P 3] 463 1N P 2} P 2] P 2N P 3{ P 3[ 464 1N P 2} P 2] P 2N P 3{ P 3N 465 1N P 2} P 2] P 2N P 3] P 3[ 466 1N P 2} P 2] P 2N P 3] P 3N 467 1N P 2} P 2] P 2N P 3[ P 3N 468 1N P 2} P 2] P 3} P 3{ P 3] 469 1N P 2} P 2] P 3} P 3{ P 3[ 470 1N P 2} P 2] P 3} P 3{ P 3N 471 1N P 2} P 2] P 3} P 3] P 3[ 472 1N P 2} P 2] P 3} P 3] P 3N 473 1N P 2} P 2] P 3} P 3[ P 3N 474 1N P 2} P 2] P 3{ P 3] P 3[ 475 1N P 2} P 2] P 3{ P 3] P 3N 476 1N P 2} P 2] P 3{ P 3[ P 3N 477 1N P 2} P 2] P 3] P 3[ P 3N 478 1N P 2} P 2[ P 2N P 3} P 3{ 479 1N P 2} P 2[ P 2N P 3} P 3] 480 1N P 2} P 2[ P 2N P 3} P 3[ 481 1N P 2} P 2[ P 2N P 3} P 3N 482 1N P 2} P 2[ P 2N P 3{ P 3] 483 1N P 2} P 2[ P 2N P 3{ P 3[ 484 1N P 2} P 2[ P 2N P 3{ P 3N 485 1N P 2} P 2[ P 2N P 3] P 3[ 486 1N P 2} P 2[ P 2N P 3] P 3N 487 1N P 2} P 2[ P 2N P 3[ P 3N 488 1N P 2} P 2[ P 3} P 3{ P 3] 489 1N P 2} P 2[ P 3} P 3{ P 3[ 490 1N P 2} P 2[ P 3} P 3{ P 3N 491 1N P 2} P 2[ P 3} P 3] P 3[ 492 1N P 2} P 2[ P 3} P 3] P 3N 493 1N P 2} P 2[ P 3} P 3[ P 3N 494 1N P 2} P 2[ P 3{ P 3] P 3[ 495 1N P 2} P 2[ P 3{ P 3] P 3N 496 1N P 2} P 2[ P 3{ P 3[ P 3N 497 1N P 2} P 2[ P 3] P 3[ P 3N 498 1N P 2} P 2N P 3} P 3{ P 3] 499 1N P 2} P 2N P 3} P 3{ P 3[ 500 1N P 2} P 2N P 3} P 3{ P 3N 501 1N P 2} P 2N P 3} P 3] P 3[ 502 1N P 2} P 2N P 3} P 3] P 3N 503 1N P 2} P 2N P 3} P 3[ P 3N 504 1N P 2} P 2N P 3{ P 3] P 3[ 505 1N P 2} P 2N P 3{ P 3] P 3N 506 1N P 2} P 2N P 3{ P 3[ P 3N 507 1N P 2} P 2N P 3] P 3[ P 3N 508 1N P 2} P 3} P 3{ P 3] P 3[ 509 1N P 2} P 3} P 3{ P 3] P 3N 510 1N P 2} P 3} P 3{ P 3[ P 3N 511 1N P 2} P 3} P 3] P 3[ P 3N 512 1N P 2} P 3{ P 3] P 3[ P 3N 513 1N P 2{ P 2] P 2[ P 2N P 3} 514 1N P 2{ P 2] P 2[ P 2N P 3{ 515 1N P 2{ P 2] P 2[ P 2N P 3] 516 1N P 2{ P 2] P 2[ P 2N P 3[ 517 1N P 2{ P 2] P 2[ P 2N P 3N 518 1N P 2{ P 2] P 2[ P 3} P 3{ 519 1N P 2{ P 2] P 2[ P 3} P 3] 520 1N P 2{ P 2] P 2[ P 3} P 3[ 521 1N P 2{ P 2] P 2[ P 3} P 3N 522 1N P 2{ P 2] P 2[ P 3{ P 3] 523 1N P 2{ P 2] P 2[ P 3{ P 3[ 524 1N P 2{ P 2] P 2[ P 3{ P 3N 525 1N P 2{ P 2] P 2[ P 3] P 3[ 526 1N P 2{ P 2] P 2[ P 3] P 3N 527 1N P 2{ P 2] P 2[ P 3[ P 3N 528 1N P 2{ P 2] P 2N P 3} P 3{ 529 1N P 2{ P 2] P 2N P 3} P 3] 530 1N P 2{ P 2] P 2N P 3} P 3[ 531 1N P 2{ P 2] P 2N P 3} P 3N 532 1N P 2{ P 2] P 2N P 3{ P 3] 533 1N P 2{ P 2] P 2N P 3{ P 3[ 534 1N P 2{ P 2] P 2N P 3{ P 3N 535 1N P 2{ P 2] P 2N P 3] P 3[ 536 1N P 2{ P 2] P 2N P 3] P 3N 537 1N P 2{ P 2] P 2N P 3[ P 3N 538 1N P 2{ P 2] P 3} P 3{ P 3] 539 1N P 2{ P 2] P 3} P 3{ P 3[ 540 1N P 2{ P 2] P 3} P 3{ P 3N 541 1N P 2{ P 2] P 3} P 3] P 3[ 542 1N P 2{ P 2] P 3} P 3] P 3N 543 1N P 2{ P 2] P 3} P 3[ P 3N 544 1N P 2{ P 2] P 3{ P 3] P 3[ 545 1N P 2{ P 2] P 3{ P 3] P 3N 546 1N P 2{ P 2] P 3{ P 3[ P 3N 547 1N P 2{ P 2] P 3] P 3[ P 3N 548 1N P 2{ P 2[ P 2N P 3} P 3{ 549 1N P 2{ P 2[ P 2N P 3} P 3] 550 1N P 2{ P 2[ P 2N P 3} P 3[ 551 1N P 2{ P 2[ P 2N P 3} P 3N 552 1N P 2{ P 2[ P 2N P 3{ P 3] 553 1N P 2{ P 2[ P 2N P 3{ P 3[ 554 1N P 2{ P 2[ P 2N P 3{ P 3N 555 1N P 2{ P 2[ P 2N P 3] P 3[ 556 1N P 2{ P 2[ P 2N P 3] P 3N 557 1N P 2{ P 2[ P 2N P 3[ P 3N 558 1N P 2{ P 2[ P 3} P 3{ P 3] 559 1N P 2{ P 2[ P 3} P 3{ P 3[ 560 1N P 2{ P 2[ P 3} P 3{ P 3N 561 1N P 2{ P 2[ P 3} P 3] P 3[ 562 1N P 2{ P 2[ P 3} P 3] P 3N 563 1N P 2{ P 2[ P 3} P 3[ P 3N 564 1N P 2{ P 2[ P 3{ P 3] P 3[ 565 1N P 2{ P 2[ P 3{ P 3] P 3N 566 1N P 2{ P 2[ P 3{ P 3[ P 3N 567 1N P 2{ P 2[ P 3] P 3[ P 3N 568 1N P 2{ P 2N P 3} P 3{ P 3] 569 1N P 2{ P 2N P 3} P 3{ P 3[ 570 1N P 2{ P 2N P 3} P 3{ P 3N 571 1N P 2{ P 2N P 3} P 3] P 3[ 572 1N P 2{ P 2N P 3} P 3] P 3N 573 1N P 2{ P 2N P 3} P 3[ P 3N 574 1N P 2{ P 2N P 3{ P 3] P 3[ 575 1N P 2{ P 2N P 3{ P 3] P 3N 576 1N P 2{ P 2N P 3{ P 3[ P 3N 577 1N P 2{ P 2N P 3] P 3[ P 3N 578 1N P 2{ P 3} P 3{ P 3] P 3[ 579 1N P 2{ P 3} P 3{ P 3] P 3N 580 1N P 2{ P 3} P 3{ P 3[ P 3N 581 1N P 2{ P 3} P 3] P 3[ P 3N 582 1N P 2{ P 3{ P 3] P 3[ P 3N 583 1N P 2] P 2[ P 2N P 3} P 3{ 584 1N P 2] P 2[ P 2N P 3} P 3] 585 1N P 2] P 2[ P 2N P 3} P 3[ 586 1N P 2] P 2[ P 2N P 3} P 3N 587 1N P 2] P 2[ P 2N P 3{ P 3] 588 1N P 2] P 2[ P 2N P 3{ P 3[ 589 1N P 2] P 2[ P 2N P 3{ P 3N 590 1N P 2] P 2[ P 2N P 3] P 3[ 591 1N P 2] P 2[ P 2N P 3] P 3N 592 1N P 2] P 2[ P 2N P 3[ P 3N 593 1N P 2] P 2[ P 3} P 3{ P 3] 594 1N P 2] P 2[ P 3} P 3{ P 3[ 595 1N P 2] P 2[ P 3} P 3{ P 3N 596 1N P 2] P 2[ P 3} P 3] P 3[ 597 1N P 2] P 2[ P 3} P 3] P 3N 598 1N P 2] P 2[ P 3} P 3[ P 3N 599 1N P 2] P 2[ P 3{ P 3] P 3[ 600 1N P 2] P 2[ P 3{ P 3] P 3N 601 1N P 2] P 2[ P 3{ P 3[ P 3N 602 1N P 2] P 2[ P 3] P 3[ P 3N 603 1N P 2] P 2N P 3} P 3{ P 3] 604 1N P 2] P 2N P 3} P 3{ P 3[ 605 1N P 2] P 2N P 3} P 3{ P 3N 606 1N P 2] P 2N P 3} P 3] P 3[ 607 1N P 2] P 2N P 3} P 3] P 3N 608 1N P 2] P 2N P 3} P 3[ P 3N 609 1N P 2] P 2N P 3{ P 3] P 3[ 610 1N P 2] P 2N P 3{ P 3] P 3N 611 1N P 2] P 2N P 3{ P 3[ P 3N 612 1N P 2] P 2N P 3] P 3[ P 3N 613 1N P 2] P 3} P 3{ P 3] P 3[ 614 1N P 2] P 3} P 3{ P 3] P 3N 615 1N P 2] P 3} P 3{ P 3[ P 3N 616 1N P 2] P 3} P 3] P 3[ P 3N 617 1N P 2] P 3{ P 3] P 3[ P 3N 618 1N P 2[ P 2N P 3} P 3{ P 3] 619 1N P 2[ P 2N P 3} P 3{ P 3[ 620 1N P 2[ P 2N P 3} P 3{ P 3N 621 1N P 2[ P 2N P 3} P 3] P 3[ 622 1N P 2[ P 2N P 3} P 3] P 3N 623 1N P 2[ P 2N P 3} P 3[ P 3N 624 1N P 2[ P 2N P 3{ P 3] P 3[ 625 1N P 2[ P 2N P 3{ P 3] P 3N 626 1N P 2[ P 2N P 3{ P 3[ P 3N 627 1N P 2[ P 2N P 3] P 3[ P 3N 628 1N P 2[ P 3} P 3{ P 3] P 3[ 629 1N P 2[ P 3} P 3{ P 3] P 3N 630 1N P 2[ P 3} P 3{ P 3[ P 3N 631 1N P 2[ P 3} P 3] P 3[ P 3N 632 1N P 2[ P 3{ P 3] P 3[ P 3N 633 1N P 2N P 3} P 3{ P 3] P 3[ 634 1N P 2N P 3} P 3{ P 3] P 3N 635 1N P 2N P 3} P 3{ P 3[ P 3N 636 1N P 2N P 3} P 3] P 3[ P 3N 637 1N P 2N P 3{ P 3] P 3[ P 3N 638 1N P 3} P 3{ P 3] P 3[ P 3N Last Updated with Excel 97 ",151);arrFiles[35]=new Array(36,"prelim2.xls","25 Oct 2006","prelim2","","","sheet1 1 1N (1) A sample worksheet is displayed (2) For new one, click   \\ \'Options  \\ \', and make your choices 2 1N P 2} (3) Click   \\ \'Create Worksheet  \\ \', and wait a moment or two (4) Click   \\ \'File .. Save  \\ \' to save as *.XLS file 3 1N P 2{ (5) Edit the XLS file with EXCEL (or clone) 4 1N P 2] (6) Explain bids in this column, for example 5 1N P 2[ Shows both minors 6 1N P 2N Transfer to clubs 7 1N P 3} Puppet Stayman No five-card major 8 1N P 3{ 9 1N P 3] 10 1N P 3[ 11 1N P 3N 12 1N P 2} P 2{ 13 1N P 2} P 2] 14 1N P 2} P 2[ 15 1N P 2} P 2N 16 1N P 2} P 3} 17 1N P 2} P 3{ 18 1N P 2} P 3] 19 1N P 2} P 3[ 20 1N P 2} P 3N 21 1N P 2{ P 2] 22 1N P 2{ P 2[ 23 1N P 2{ P 2N 24 1N P 2{ P 3} 25 1N P 2{ P 3{ 26 1N P 2{ P 3] 27 1N P 2{ P 3[ 28 1N P 2{ P 3N 29 1N P 2] P 2[ 30 1N P 2] P 2N 31 1N P 2] P 3} 32 1N P 2] P 3{ 33 1N P 2] P 3] 34 1N P 2] P 3[ 35 1N P 2] P 3N 36 1N P 2[ P 2N 37 1N P 2[ P 3} 38 1N P 2[ P 3{ 39 1N P 2[ P 3] 40 1N P 2[ P 3[ 41 1N P 2[ P 3N 42 1N P 2N P 3} 43 1N P 2N P 3{ 44 1N P 2N P 3] 45 1N P 2N P 3[ 46 1N P 2N P 3N 47 1N P 3} P 3{ 48 1N P 3} P 3] 49 1N P 3} P 3[ 50 1N P 3} P 3N 51 1N P 3{ P 3] 52 1N P 3{ P 3[ 53 1N P 3{ P 3N 54 1N P 3] P 3[ 55 1N P 3] P 3N 56 1N P 3[ P 3N 57 1N P 2} P 2{ P 2] 58 1N P 2} P 2{ P 2[ 59 1N P 2} P 2{ P 2N 60 1N P 2} P 2{ P 3} 61 1N P 2} P 2{ P 3{ 62 1N P 2} P 2{ P 3] 63 1N P 2} P 2{ P 3[ 64 1N P 2} P 2{ P 3N 65 1N P 2} P 2] P 2[ 66 1N P 2} P 2] P 2N 67 1N P 2} P 2] P 3} 68 1N P 2} P 2] P 3{ 69 1N P 2} P 2] P 3] 70 1N P 2} P 2] P 3[ 71 1N P 2} P 2] P 3N 72 1N P 2} P 2[ P 2N 73 1N P 2} P 2[ P 3} 74 1N P 2} P 2[ P 3{ 75 1N P 2} P 2[ P 3] 76 1N P 2} P 2[ P 3[ 77 1N P 2} P 2[ P 3N 78 1N P 2} P 2N P 3} 79 1N P 2} P 2N P 3{ 80 1N P 2} P 2N P 3] 81 1N P 2} P 2N P 3[ 82 1N P 2} P 2N P 3N 83 1N P 2} P 3} P 3{ 84 1N P 2} P 3} P 3] 85 1N P 2} P 3} P 3[ 86 1N P 2} P 3} P 3N 87 1N P 2} P 3{ P 3] 88 1N P 2} P 3{ P 3[ 89 1N P 2} P 3{ P 3N 90 1N P 2} P 3] P 3[ 91 1N P 2} P 3] P 3N 92 1N P 2} P 3[ P 3N 93 1N P 2{ P 2] P 2[ 94 1N P 2{ P 2] P 2N 95 1N P 2{ P 2] P 3} 96 1N P 2{ P 2] P 3{ 97 1N P 2{ P 2] P 3] 98 1N P 2{ P 2] P 3[ 99 1N P 2{ P 2] P 3N 100 1N P 2{ P 2[ P 2N 101 1N P 2{ P 2[ P 3} 102 1N P 2{ P 2[ P 3{ 103 1N P 2{ P 2[ P 3] 104 1N P 2{ P 2[ P 3[ 105 1N P 2{ P 2[ P 3N 106 1N P 2{ P 2N P 3} 107 1N P 2{ P 2N P 3{ 108 1N P 2{ P 2N P 3] 109 1N P 2{ P 2N P 3[ 110 1N P 2{ P 2N P 3N 111 1N P 2{ P 3} P 3{ 112 1N P 2{ P 3} P 3] 113 1N P 2{ P 3} P 3[ 114 1N P 2{ P 3} P 3N 115 1N P 2{ P 3{ P 3] 116 1N P 2{ P 3{ P 3[ 117 1N P 2{ P 3{ P 3N 118 1N P 2{ P 3] P 3[ 119 1N P 2{ P 3] P 3N 120 1N P 2{ P 3[ P 3N 121 1N P 2] P 2[ P 2N 122 1N P 2] P 2[ P 3} 123 1N P 2] P 2[ P 3{ 124 1N P 2] P 2[ P 3] 125 1N P 2] P 2[ P 3[ 126 1N P 2] P 2[ P 3N 127 1N P 2] P 2N P 3} 128 1N P 2] P 2N P 3{ 129 1N P 2] P 2N P 3] 130 1N P 2] P 2N P 3[ 131 1N P 2] P 2N P 3N 132 1N P 2] P 3} P 3{ 133 1N P 2] P 3} P 3] 134 1N P 2] P 3} P 3[ 135 1N P 2] P 3} P 3N 136 1N P 2] P 3{ P 3] 137 1N P 2] P 3{ P 3[ 138 1N P 2] P 3{ P 3N 139 1N P 2] P 3] P 3[ 140 1N P 2] P 3] P 3N 141 1N P 2] P 3[ P 3N 142 1N P 2[ P 2N P 3} 143 1N P 2[ P 2N P 3{ 144 1N P 2[ P 2N P 3] 145 1N P 2[ P 2N P 3[ 146 1N P 2[ P 2N P 3N 147 1N P 2[ P 3} P 3{ 148 1N P 2[ P 3} P 3] 149 1N P 2[ P 3} P 3[ 150 1N P 2[ P 3} P 3N 151 1N P 2[ P 3{ P 3] 152 1N P 2[ P 3{ P 3[ 153 1N P 2[ P 3{ P 3N 154 1N P 2[ P 3] P 3[ 155 1N P 2[ P 3] P 3N 156 1N P 2[ P 3[ P 3N 157 1N P 2N P 3} P 3{ 158 1N P 2N P 3} P 3] 159 1N P 2N P 3} P 3[ 160 1N P 2N P 3} P 3N 161 1N P 2N P 3{ P 3] 162 1N P 2N P 3{ P 3[ 163 1N P 2N P 3{ P 3N 164 1N P 2N P 3] P 3[ 165 1N P 2N P 3] P 3N 166 1N P 2N P 3[ P 3N 167 1N P 3} P 3{ P 3] 168 1N P 3} P 3{ P 3[ 169 1N P 3} P 3{ P 3N 170 1N P 3} P 3] P 3[ 171 1N P 3} P 3] P 3N 172 1N P 3} P 3[ P 3N 173 1N P 3{ P 3] P 3[ 174 1N P 3{ P 3] P 3N 175 1N P 3{ P 3[ P 3N 176 1N P 3] P 3[ P 3N 177 1N P 2} P 2{ P 2] P 2[ 178 1N P 2} P 2{ P 2] P 2N 179 1N P 2} P 2{ P 2] P 3} 180 1N P 2} P 2{ P 2] P 3{ 181 1N P 2} P 2{ P 2] P 3] 182 1N P 2} P 2{ P 2] P 3[ 183 1N P 2} P 2{ P 2] P 3N 184 1N P 2} P 2{ P 2[ P 2N 185 1N P 2} P 2{ P 2[ P 3} 186 1N P 2} P 2{ P 2[ P 3{ 187 1N P 2} P 2{ P 2[ P 3] 188 1N P 2} P 2{ P 2[ P 3[ 189 1N P 2} P 2{ P 2[ P 3N 190 1N P 2} P 2{ P 2N P 3} 191 1N P 2} P 2{ P 2N P 3{ 192 1N P 2} P 2{ P 2N P 3] 193 1N P 2} P 2{ P 2N P 3[ 194 1N P 2} P 2{ P 2N P 3N 195 1N P 2} P 2{ P 3} P 3{ 196 1N P 2} P 2{ P 3} P 3] 197 1N P 2} P 2{ P 3} P 3[ 198 1N P 2} P 2{ P 3} P 3N 199 1N P 2} P 2{ P 3{ P 3] 200 1N P 2} P 2{ P 3{ P 3[ 201 1N P 2} P 2{ P 3{ P 3N 202 1N P 2} P 2{ P 3] P 3[ 203 1N P 2} P 2{ P 3] P 3N 204 1N P 2} P 2{ P 3[ P 3N 205 1N P 2} P 2] P 2[ P 2N 206 1N P 2} P 2] P 2[ P 3} 207 1N P 2} P 2] P 2[ P 3{ 208 1N P 2} P 2] P 2[ P 3] 209 1N P 2} P 2] P 2[ P 3[ 210 1N P 2} P 2] P 2[ P 3N 211 1N P 2} P 2] P 2N P 3} 212 1N P 2} P 2] P 2N P 3{ 213 1N P 2} P 2] P 2N P 3] 214 1N P 2} P 2] P 2N P 3[ 215 1N P 2} P 2] P 2N P 3N 216 1N P 2} P 2] P 3} P 3{ 217 1N P 2} P 2] P 3} P 3] 218 1N P 2} P 2] P 3} P 3[ 219 1N P 2} P 2] P 3} P 3N 220 1N P 2} P 2] P 3{ P 3] 221 1N P 2} P 2] P 3{ P 3[ 222 1N P 2} P 2] P 3{ P 3N 223 1N P 2} P 2] P 3] P 3[ 224 1N P 2} P 2] P 3] P 3N 225 1N P 2} P 2] P 3[ P 3N 226 1N P 2} P 2[ P 2N P 3} 227 1N P 2} P 2[ P 2N P 3{ 228 1N P 2} P 2[ P 2N P 3] 229 1N P 2} P 2[ P 2N P 3[ 230 1N P 2} P 2[ P 2N P 3N 231 1N P 2} P 2[ P 3} P 3{ 232 1N P 2} P 2[ P 3} P 3] 233 1N P 2} P 2[ P 3} P 3[ 234 1N P 2} P 2[ P 3} P 3N 235 1N P 2} P 2[ P 3{ P 3] 236 1N P 2} P 2[ P 3{ P 3[ 237 1N P 2} P 2[ P 3{ P 3N 238 1N P 2} P 2[ P 3] P 3[ 239 1N P 2} P 2[ P 3] P 3N 240 1N P 2} P 2[ P 3[ P 3N 241 1N P 2} P 2N P 3} P 3{ 242 1N P 2} P 2N P 3} P 3] 243 1N P 2} P 2N P 3} P 3[ 244 1N P 2} P 2N P 3} P 3N 245 1N P 2} P 2N P 3{ P 3] 246 1N P 2} P 2N P 3{ P 3[ 247 1N P 2} P 2N P 3{ P 3N 248 1N P 2} P 2N P 3] P 3[ 249 1N P 2} P 2N P 3] P 3N 250 1N P 2} P 2N P 3[ P 3N 251 1N P 2} P 3} P 3{ P 3] 252 1N P 2} P 3} P 3{ P 3[ 253 1N P 2} P 3} P 3{ P 3N 254 1N P 2} P 3} P 3] P 3[ 255 1N P 2} P 3} P 3] P 3N 256 1N P 2} P 3} P 3[ P 3N 257 1N P 2} P 3{ P 3] P 3[ 258 1N P 2} P 3{ P 3] P 3N 259 1N P 2} P 3{ P 3[ P 3N 260 1N P 2} P 3] P 3[ P 3N 261 1N P 2{ P 2] P 2[ P 2N 262 1N P 2{ P 2] P 2[ P 3} 263 1N P 2{ P 2] P 2[ P 3{ 264 1N P 2{ P 2] P 2[ P 3] 265 1N P 2{ P 2] P 2[ P 3[ 266 1N P 2{ P 2] P 2[ P 3N 267 1N P 2{ P 2] P 2N P 3} 268 1N P 2{ P 2] P 2N P 3{ 269 1N P 2{ P 2] P 2N P 3] 270 1N P 2{ P 2] P 2N P 3[ 271 1N P 2{ P 2] P 2N P 3N 272 1N P 2{ P 2] P 3} P 3{ 273 1N P 2{ P 2] P 3} P 3] 274 1N P 2{ P 2] P 3} P 3[ 275 1N P 2{ P 2] P 3} P 3N 276 1N P 2{ P 2] P 3{ P 3] 277 1N P 2{ P 2] P 3{ P 3[ 278 1N P 2{ P 2] P 3{ P 3N 279 1N P 2{ P 2] P 3] P 3[ 280 1N P 2{ P 2] P 3] P 3N 281 1N P 2{ P 2] P 3[ P 3N 282 1N P 2{ P 2[ P 2N P 3} 283 1N P 2{ P 2[ P 2N P 3{ 284 1N P 2{ P 2[ P 2N P 3] 285 1N P 2{ P 2[ P 2N P 3[ 286 1N P 2{ P 2[ P 2N P 3N 287 1N P 2{ P 2[ P 3} P 3{ 288 1N P 2{ P 2[ P 3} P 3] 289 1N P 2{ P 2[ P 3} P 3[ 290 1N P 2{ P 2[ P 3} P 3N 291 1N P 2{ P 2[ P 3{ P 3] 292 1N P 2{ P 2[ P 3{ P 3[ 293 1N P 2{ P 2[ P 3{ P 3N 294 1N P 2{ P 2[ P 3] P 3[ 295 1N P 2{ P 2[ P 3] P 3N 296 1N P 2{ P 2[ P 3[ P 3N 297 1N P 2{ P 2N P 3} P 3{ 298 1N P 2{ P 2N P 3} P 3] 299 1N P 2{ P 2N P 3} P 3[ 300 1N P 2{ P 2N P 3} P 3N 301 1N P 2{ P 2N P 3{ P 3] 302 1N P 2{ P 2N P 3{ P 3[ 303 1N P 2{ P 2N P 3{ P 3N 304 1N P 2{ P 2N P 3] P 3[ 305 1N P 2{ P 2N P 3] P 3N 306 1N P 2{ P 2N P 3[ P 3N 307 1N P 2{ P 3} P 3{ P 3] 308 1N P 2{ P 3} P 3{ P 3[ 309 1N P 2{ P 3} P 3{ P 3N 310 1N P 2{ P 3} P 3] P 3[ 311 1N P 2{ P 3} P 3] P 3N 312 1N P 2{ P 3} P 3[ P 3N 313 1N P 2{ P 3{ P 3] P 3[ 314 1N P 2{ P 3{ P 3] P 3N 315 1N P 2{ P 3{ P 3[ P 3N 316 1N P 2{ P 3] P 3[ P 3N 317 1N P 2] P 2[ P 2N P 3} 318 1N P 2] P 2[ P 2N P 3{ 319 1N P 2] P 2[ P 2N P 3] 320 1N P 2] P 2[ P 2N P 3[ 321 1N P 2] P 2[ P 2N P 3N 322 1N P 2] P 2[ P 3} P 3{ 323 1N P 2] P 2[ P 3} P 3] 324 1N P 2] P 2[ P 3} P 3[ 325 1N P 2] P 2[ P 3} P 3N 326 1N P 2] P 2[ P 3{ P 3] 327 1N P 2] P 2[ P 3{ P 3[ 328 1N P 2] P 2[ P 3{ P 3N 329 1N P 2] P 2[ P 3] P 3[ 330 1N P 2] P 2[ P 3] P 3N 331 1N P 2] P 2[ P 3[ P 3N 332 1N P 2] P 2N P 3} P 3{ 333 1N P 2] P 2N P 3} P 3] 334 1N P 2] P 2N P 3} P 3[ 335 1N P 2] P 2N P 3} P 3N 336 1N P 2] P 2N P 3{ P 3] 337 1N P 2] P 2N P 3{ P 3[ 338 1N P 2] P 2N P 3{ P 3N 339 1N P 2] P 2N P 3] P 3[ 340 1N P 2] P 2N P 3] P 3N 341 1N P 2] P 2N P 3[ P 3N 342 1N P 2] P 3} P 3{ P 3] 343 1N P 2] P 3} P 3{ P 3[ 344 1N P 2] P 3} P 3{ P 3N 345 1N P 2] P 3} P 3] P 3[ 346 1N P 2] P 3} P 3] P 3N 347 1N P 2] P 3} P 3[ P 3N 348 1N P 2] P 3{ P 3] P 3[ 349 1N P 2] P 3{ P 3] P 3N 350 1N P 2] P 3{ P 3[ P 3N 351 1N P 2] P 3] P 3[ P 3N 352 1N P 2[ P 2N P 3} P 3{ 353 1N P 2[ P 2N P 3} P 3] 354 1N P 2[ P 2N P 3} P 3[ 355 1N P 2[ P 2N P 3} P 3N 356 1N P 2[ P 2N P 3{ P 3] 357 1N P 2[ P 2N P 3{ P 3[ 358 1N P 2[ P 2N P 3{ P 3N 359 1N P 2[ P 2N P 3] P 3[ 360 1N P 2[ P 2N P 3] P 3N 361 1N P 2[ P 2N P 3[ P 3N 362 1N P 2[ P 3} P 3{ P 3] 363 1N P 2[ P 3} P 3{ P 3[ 364 1N P 2[ P 3} P 3{ P 3N 365 1N P 2[ P 3} P 3] P 3[ 366 1N P 2[ P 3} P 3] P 3N 367 1N P 2[ P 3} P 3[ P 3N 368 1N P 2[ P 3{ P 3] P 3[ 369 1N P 2[ P 3{ P 3] P 3N 370 1N P 2[ P 3{ P 3[ P 3N 371 1N P 2[ P 3] P 3[ P 3N 372 1N P 2N P 3} P 3{ P 3] 373 1N P 2N P 3} P 3{ P 3[ 374 1N P 2N P 3} P 3{ P 3N 375 1N P 2N P 3} P 3] P 3[ 376 1N P 2N P 3} P 3] P 3N 377 1N P 2N P 3} P 3[ P 3N 378 1N P 2N P 3{ P 3] P 3[ 379 1N P 2N P 3{ P 3] P 3N 380 1N P 2N P 3{ P 3[ P 3N 381 1N P 2N P 3] P 3[ P 3N 382 1N P 3} P 3{ P 3] P 3[ 383 1N P 3} P 3{ P 3] P 3N 384 1N P 3} P 3{ P 3[ P 3N 385 1N P 3} P 3] P 3[ P 3N 386 1N P 3{ P 3] P 3[ P 3N 387 1N P 2} P 2{ P 2] P 2[ P 2N 388 1N P 2} P 2{ P 2] P 2[ P 3} 389 1N P 2} P 2{ P 2] P 2[ P 3{ 390 1N P 2} P 2{ P 2] P 2[ P 3] 391 1N P 2} P 2{ P 2] P 2[ P 3[ 392 1N P 2} P 2{ P 2] P 2[ P 3N 393 1N P 2} P 2{ P 2] P 2N P 3} 394 1N P 2} P 2{ P 2] P 2N P 3{ 395 1N P 2} P 2{ P 2] P 2N P 3] 396 1N P 2} P 2{ P 2] P 2N P 3[ 397 1N P 2} P 2{ P 2] P 2N P 3N 398 1N P 2} P 2{ P 2] P 3} P 3{ 399 1N P 2} P 2{ P 2] P 3} P 3] 400 1N P 2} P 2{ P 2] P 3} P 3[ 401 1N P 2} P 2{ P 2] P 3} P 3N 402 1N P 2} P 2{ P 2] P 3{ P 3] 403 1N P 2} P 2{ P 2] P 3{ P 3[ 404 1N P 2} P 2{ P 2] P 3{ P 3N 405 1N P 2} P 2{ P 2] P 3] P 3[ 406 1N P 2} P 2{ P 2] P 3] P 3N 407 1N P 2} P 2{ P 2] P 3[ P 3N 408 1N P 2} P 2{ P 2[ P 2N P 3} 409 1N P 2} P 2{ P 2[ P 2N P 3{ 410 1N P 2} P 2{ P 2[ P 2N P 3] 411 1N P 2} P 2{ P 2[ P 2N P 3[ 412 1N P 2} P 2{ P 2[ P 2N P 3N 413 1N P 2} P 2{ P 2[ P 3} P 3{ 414 1N P 2} P 2{ P 2[ P 3} P 3] 415 1N P 2} P 2{ P 2[ P 3} P 3[ 416 1N P 2} P 2{ P 2[ P 3} P 3N 417 1N P 2} P 2{ P 2[ P 3{ P 3] 418 1N P 2} P 2{ P 2[ P 3{ P 3[ 419 1N P 2} P 2{ P 2[ P 3{ P 3N 420 1N P 2} P 2{ P 2[ P 3] P 3[ 421 1N P 2} P 2{ P 2[ P 3] P 3N 422 1N P 2} P 2{ P 2[ P 3[ P 3N 423 1N P 2} P 2{ P 2N P 3} P 3{ 424 1N P 2} P 2{ P 2N P 3} P 3] 425 1N P 2} P 2{ P 2N P 3} P 3[ 426 1N P 2} P 2{ P 2N P 3} P 3N 427 1N P 2} P 2{ P 2N P 3{ P 3] 428 1N P 2} P 2{ P 2N P 3{ P 3[ 429 1N P 2} P 2{ P 2N P 3{ P 3N 430 1N P 2} P 2{ P 2N P 3] P 3[ 431 1N P 2} P 2{ P 2N P 3] P 3N 432 1N P 2} P 2{ P 2N P 3[ P 3N 433 1N P 2} P 2{ P 3} P 3{ P 3] 434 1N P 2} P 2{ P 3} P 3{ P 3[ 435 1N P 2} P 2{ P 3} P 3{ P 3N 436 1N P 2} P 2{ P 3} P 3] P 3[ 437 1N P 2} P 2{ P 3} P 3] P 3N 438 1N P 2} P 2{ P 3} P 3[ P 3N 439 1N P 2} P 2{ P 3{ P 3] P 3[ 440 1N P 2} P 2{ P 3{ P 3] P 3N 441 1N P 2} P 2{ P 3{ P 3[ P 3N 442 1N P 2} P 2{ P 3] P 3[ P 3N 443 1N P 2} P 2] P 2[ P 2N P 3} 444 1N P 2} P 2] P 2[ P 2N P 3{ 445 1N P 2} P 2] P 2[ P 2N P 3] 446 1N P 2} P 2] P 2[ P 2N P 3[ 447 1N P 2} P 2] P 2[ P 2N P 3N 448 1N P 2} P 2] P 2[ P 3} P 3{ 449 1N P 2} P 2] P 2[ P 3} P 3] 450 1N P 2} P 2] P 2[ P 3} P 3[ 451 1N P 2} P 2] P 2[ P 3} P 3N 452 1N P 2} P 2] P 2[ P 3{ P 3] 453 1N P 2} P 2] P 2[ P 3{ P 3[ 454 1N P 2} P 2] P 2[ P 3{ P 3N 455 1N P 2} P 2] P 2[ P 3] P 3[ 456 1N P 2} P 2] P 2[ P 3] P 3N 457 1N P 2} P 2] P 2[ P 3[ P 3N 458 1N P 2} P 2] P 2N P 3} P 3{ 459 1N P 2} P 2] P 2N P 3} P 3] 460 1N P 2} P 2] P 2N P 3} P 3[ 461 1N P 2} P 2] P 2N P 3} P 3N 462 1N P 2} P 2] P 2N P 3{ P 3] 463 1N P 2} P 2] P 2N P 3{ P 3[ 464 1N P 2} P 2] P 2N P 3{ P 3N 465 1N P 2} P 2] P 2N P 3] P 3[ 466 1N P 2} P 2] P 2N P 3] P 3N 467 1N P 2} P 2] P 2N P 3[ P 3N 468 1N P 2} P 2] P 3} P 3{ P 3] 469 1N P 2} P 2] P 3} P 3{ P 3[ 470 1N P 2} P 2] P 3} P 3{ P 3N 471 1N P 2} P 2] P 3} P 3] P 3[ 472 1N P 2} P 2] P 3} P 3] P 3N 473 1N P 2} P 2] P 3} P 3[ P 3N 474 1N P 2} P 2] P 3{ P 3] P 3[ 475 1N P 2} P 2] P 3{ P 3] P 3N 476 1N P 2} P 2] P 3{ P 3[ P 3N 477 1N P 2} P 2] P 3] P 3[ P 3N 478 1N P 2} P 2[ P 2N P 3} P 3{ 479 1N P 2} P 2[ P 2N P 3} P 3] 480 1N P 2} P 2[ P 2N P 3} P 3[ 481 1N P 2} P 2[ P 2N P 3} P 3N 482 1N P 2} P 2[ P 2N P 3{ P 3] 483 1N P 2} P 2[ P 2N P 3{ P 3[ 484 1N P 2} P 2[ P 2N P 3{ P 3N 485 1N P 2} P 2[ P 2N P 3] P 3[ 486 1N P 2} P 2[ P 2N P 3] P 3N 487 1N P 2} P 2[ P 2N P 3[ P 3N 488 1N P 2} P 2[ P 3} P 3{ P 3] 489 1N P 2} P 2[ P 3} P 3{ P 3[ 490 1N P 2} P 2[ P 3} P 3{ P 3N 491 1N P 2} P 2[ P 3} P 3] P 3[ 492 1N P 2} P 2[ P 3} P 3] P 3N 493 1N P 2} P 2[ P 3} P 3[ P 3N 494 1N P 2} P 2[ P 3{ P 3] P 3[ 495 1N P 2} P 2[ P 3{ P 3] P 3N 496 1N P 2} P 2[ P 3{ P 3[ P 3N 497 1N P 2} P 2[ P 3] P 3[ P 3N 498 1N P 2} P 2N P 3} P 3{ P 3] 499 1N P 2} P 2N P 3} P 3{ P 3[ 500 1N P 2} P 2N P 3} P 3{ P 3N 501 1N P 2} P 2N P 3} P 3] P 3[ 502 1N P 2} P 2N P 3} P 3] P 3N 503 1N P 2} P 2N P 3} P 3[ P 3N 504 1N P 2} P 2N P 3{ P 3] P 3[ 505 1N P 2} P 2N P 3{ P 3] P 3N 506 1N P 2} P 2N P 3{ P 3[ P 3N 507 1N P 2} P 2N P 3] P 3[ P 3N 508 1N P 2} P 3} P 3{ P 3] P 3[ 509 1N P 2} P 3} P 3{ P 3] P 3N 510 1N P 2} P 3} P 3{ P 3[ P 3N 511 1N P 2} P 3} P 3] P 3[ P 3N 512 1N P 2} P 3{ P 3] P 3[ P 3N 513 1N P 2{ P 2] P 2[ P 2N P 3} 514 1N P 2{ P 2] P 2[ P 2N P 3{ 515 1N P 2{ P 2] P 2[ P 2N P 3] 516 1N P 2{ P 2] P 2[ P 2N P 3[ 517 1N P 2{ P 2] P 2[ P 2N P 3N 518 1N P 2{ P 2] P 2[ P 3} P 3{ 519 1N P 2{ P 2] P 2[ P 3} P 3] 520 1N P 2{ P 2] P 2[ P 3} P 3[ 521 1N P 2{ P 2] P 2[ P 3} P 3N 522 1N P 2{ P 2] P 2[ P 3{ P 3] 523 1N P 2{ P 2] P 2[ P 3{ P 3[ 524 1N P 2{ P 2] P 2[ P 3{ P 3N 525 1N P 2{ P 2] P 2[ P 3] P 3[ 526 1N P 2{ P 2] P 2[ P 3] P 3N 527 1N P 2{ P 2] P 2[ P 3[ P 3N 528 1N P 2{ P 2] P 2N P 3} P 3{ 529 1N P 2{ P 2] P 2N P 3} P 3] 530 1N P 2{ P 2] P 2N P 3} P 3[ 531 1N P 2{ P 2] P 2N P 3} P 3N 532 1N P 2{ P 2] P 2N P 3{ P 3] 533 1N P 2{ P 2] P 2N P 3{ P 3[ 534 1N P 2{ P 2] P 2N P 3{ P 3N 535 1N P 2{ P 2] P 2N P 3] P 3[ 536 1N P 2{ P 2] P 2N P 3] P 3N 537 1N P 2{ P 2] P 2N P 3[ P 3N 538 1N P 2{ P 2] P 3} P 3{ P 3] 539 1N P 2{ P 2] P 3} P 3{ P 3[ 540 1N P 2{ P 2] P 3} P 3{ P 3N 541 1N P 2{ P 2] P 3} P 3] P 3[ 542 1N P 2{ P 2] P 3} P 3] P 3N 543 1N P 2{ P 2] P 3} P 3[ P 3N 544 1N P 2{ P 2] P 3{ P 3] P 3[ 545 1N P 2{ P 2] P 3{ P 3] P 3N 546 1N P 2{ P 2] P 3{ P 3[ P 3N 547 1N P 2{ P 2] P 3] P 3[ P 3N 548 1N P 2{ P 2[ P 2N P 3} P 3{ 549 1N P 2{ P 2[ P 2N P 3} P 3] 550 1N P 2{ P 2[ P 2N P 3} P 3[ 551 1N P 2{ P 2[ P 2N P 3} P 3N 552 1N P 2{ P 2[ P 2N P 3{ P 3] 553 1N P 2{ P 2[ P 2N P 3{ P 3[ 554 1N P 2{ P 2[ P 2N P 3{ P 3N 555 1N P 2{ P 2[ P 2N P 3] P 3[ 556 1N P 2{ P 2[ P 2N P 3] P 3N 557 1N P 2{ P 2[ P 2N P 3[ P 3N 558 1N P 2{ P 2[ P 3} P 3{ P 3] 559 1N P 2{ P 2[ P 3} P 3{ P 3[ 560 1N P 2{ P 2[ P 3} P 3{ P 3N 561 1N P 2{ P 2[ P 3} P 3] P 3[ 562 1N P 2{ P 2[ P 3} P 3] P 3N 563 1N P 2{ P 2[ P 3} P 3[ P 3N 564 1N P 2{ P 2[ P 3{ P 3] P 3[ 565 1N P 2{ P 2[ P 3{ P 3] P 3N 566 1N P 2{ P 2[ P 3{ P 3[ P 3N 567 1N P 2{ P 2[ P 3] P 3[ P 3N 568 1N P 2{ P 2N P 3} P 3{ P 3] 569 1N P 2{ P 2N P 3} P 3{ P 3[ 570 1N P 2{ P 2N P 3} P 3{ P 3N 571 1N P 2{ P 2N P 3} P 3] P 3[ 572 1N P 2{ P 2N P 3} P 3] P 3N 573 1N P 2{ P 2N P 3} P 3[ P 3N 574 1N P 2{ P 2N P 3{ P 3] P 3[ 575 1N P 2{ P 2N P 3{ P 3] P 3N 576 1N P 2{ P 2N P 3{ P 3[ P 3N 577 1N P 2{ P 2N P 3] P 3[ P 3N 578 1N P 2{ P 3} P 3{ P 3] P 3[ 579 1N P 2{ P 3} P 3{ P 3] P 3N 580 1N P 2{ P 3} P 3{ P 3[ P 3N 581 1N P 2{ P 3} P 3] P 3[ P 3N 582 1N P 2{ P 3{ P 3] P 3[ P 3N 583 1N P 2] P 2[ P 2N P 3} P 3{ 584 1N P 2] P 2[ P 2N P 3} P 3] 585 1N P 2] P 2[ P 2N P 3} P 3[ 586 1N P 2] P 2[ P 2N P 3} P 3N 587 1N P 2] P 2[ P 2N P 3{ P 3] 588 1N P 2] P 2[ P 2N P 3{ P 3[ 589 1N P 2] P 2[ P 2N P 3{ P 3N 590 1N P 2] P 2[ P 2N P 3] P 3[ 591 1N P 2] P 2[ P 2N P 3] P 3N 592 1N P 2] P 2[ P 2N P 3[ P 3N 593 1N P 2] P 2[ P 3} P 3{ P 3] 594 1N P 2] P 2[ P 3} P 3{ P 3[ 595 1N P 2] P 2[ P 3} P 3{ P 3N 596 1N P 2] P 2[ P 3} P 3] P 3[ 597 1N P 2] P 2[ P 3} P 3] P 3N 598 1N P 2] P 2[ P 3} P 3[ P 3N 599 1N P 2] P 2[ P 3{ P 3] P 3[ 600 1N P 2] P 2[ P 3{ P 3] P 3N 601 1N P 2] P 2[ P 3{ P 3[ P 3N 602 1N P 2] P 2[ P 3] P 3[ P 3N 603 1N P 2] P 2N P 3} P 3{ P 3] 604 1N P 2] P 2N P 3} P 3{ P 3[ 605 1N P 2] P 2N P 3} P 3{ P 3N 606 1N P 2] P 2N P 3} P 3] P 3[ 607 1N P 2] P 2N P 3} P 3] P 3N 608 1N P 2] P 2N P 3} P 3[ P 3N 609 1N P 2] P 2N P 3{ P 3] P 3[ 610 1N P 2] P 2N P 3{ P 3] P 3N 611 1N P 2] P 2N P 3{ P 3[ P 3N 612 1N P 2] P 2N P 3] P 3[ P 3N 613 1N P 2] P 3} P 3{ P 3] P 3[ 614 1N P 2] P 3} P 3{ P 3] P 3N 615 1N P 2] P 3} P 3{ P 3[ P 3N 616 1N P 2] P 3} P 3] P 3[ P 3N 617 1N P 2] P 3{ P 3] P 3[ P 3N 618 1N P 2[ P 2N P 3} P 3{ P 3] 619 1N P 2[ P 2N P 3} P 3{ P 3[ 620 1N P 2[ P 2N P 3} P 3{ P 3N 621 1N P 2[ P 2N P 3} P 3] P 3[ 622 1N P 2[ P 2N P 3} P 3] P 3N 623 1N P 2[ P 2N P 3} P 3[ P 3N 624 1N P 2[ P 2N P 3{ P 3] P 3[ 625 1N P 2[ P 2N P 3{ P 3] P 3N 626 1N P 2[ P 2N P 3{ P 3[ P 3N 627 1N P 2[ P 2N P 3] P 3[ P 3N 628 1N P 2[ P 3} P 3{ P 3] P 3[ 629 1N P 2[ P 3} P 3{ P 3] P 3N 630 1N P 2[ P 3} P 3{ P 3[ P 3N 631 1N P 2[ P 3} P 3] P 3[ P 3N 632 1N P 2[ P 3{ P 3] P 3[ P 3N 633 1N P 2N P 3} P 3{ P 3] P 3[ 634 1N P 2N P 3} P 3{ P 3] P 3N 635 1N P 2N P 3} P 3{ P 3[ P 3N 636 1N P 2N P 3} P 3] P 3[ P 3N 637 1N P 2N P 3{ P 3] P 3[ P 3N 638 1N P 3} P 3{ P 3] P 3[ P 3N Spreadsheet  \\ \'s Author: doug Last Updated with Excel 97 ",146);arrFiles[36]=new Array(37,"pricing.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder 1.800.932.5168 ... 59.95 (US) The price for all products combined is 59.95 US (79.95 Cdn). The package upgrade price for users with previous versions of either BB or VD is 49.95 (59.95 Cdn). There is 5 shipping charge, but you can choose to download . Want an inexpensive gift for a friend? Purchase version 15, and for an additional 15, we \'ll throw in a copy of version 12 (while quantities last). Have a competitor \'s product? Then you are eligible for a 10 discount. Have a copy of the most excellent Practice Your Slam Bidding, or Practice Your Notrump Bidding, both with software by Bridgeware, from Master Point Press ? If so, you are eligible for the upgrade price. Interested in even more savings? Like 20 off the standard BB15 price? For 39.95 plus 5 shipping? For a limited time only, and while supplies last, you can version 12 for that low price. In North America, to order with VISA/MasterCard, call 1.800.932.5168. Outside North America, or in the Toronto area, call 416-463-2689 , or email . Home Bridgeware copyright 1992 to 2007 Email ",4);arrFiles[37]=new Array(38,"products.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder Products (all included) All these programs are included in the one low price, whether you order the CDROM, or we email you a download link. This is an excellent suite of programs for any level of bridge player. Bridge Buff 15 his is our cornerstone product, the primary reason most people purchase our software. Using Artificial Intelligence since 1999, Bridge Buff plays a great game of Bridge. It is highly praised throughout the Bridge Community. It is perfect for all levels of players, with Tutors for beginners and intermediates, and large numbers of conventions (codified deep into the auction), for more advanced players. It features excellent auction stability. We use Visual Deal to deal out thousands of randomly generated deals, complete with auctions. Then we vet each auction for reasonableness. We find that better than 19 of 20 auctions are completed in a sensible fashion. There is a matchpoint-style bidding mode, which uses a concept called Simulation Bidding . This features very aggressive bidding sequences around the table, similar to action found in your local duplicate club. It \'s a lot of fun. Beginning version 12 we extended this concept to slam investigations. There are two playing modes. In Practice mode, you have full control over every element of the game, and you can redeal, rebid, replay, take back cards, peek, and cheat as much as you want. In Match mode, you play a series of hands against a  \'closed room \' opponent and can play Teams, Pairs and Individual matches. Match mode also includes matchpoint estimates so you can measure how well you are doing against both Strong and Weak fields. Bridge Buff looks terrific , and is exceptionally easy to use. It features one-button access to most functions, and includes balloon help comments over most buttons. Here is a look at Bridge Buff Practice Mode and here at Bridge Buff Match Mode . And here is a look at some of the skins you can apply. Visual Deal 7 Visual Deal is a hugely flexible Deal Generator that stands alone by virtue of its ease-of-use, its flexibility, and the fact it generates auctions and play-of-the-hand with Bridge Buff modules. Visual Deal includes a FAST Double Dummy solver that uses Artificial Intelligence , so you can see what would be the contract result if every card played at every turn to play, was the perfect card. This is a feature unique to Visual Deal ... you can get a solver with no other Generator. Double dummy analysis actually favors the defence, whereas the opening lead often favors the declarer, so to circumvent this, click here to see Declarer Advantage . You can watch deals one-by-one, or run a series of deals (10 to 1000) and accumulate statistics, or print a series of deals to a printer or file. The print formats are very flexible. Properly configured, Visual Deal will help you to answer all of the great Bridge questions. What does this bid mean or show? What should I bid with this hand in this auction? What happens if I bid this? What is partner likely to have if I hold this (and if the auction has gone like that?), what is the best contract with this kind of holding, what is the best lead into this auction or these hands, or any number of similar questions. For a sample of what can be done, look here . Convention Card Editor This is a full-featured editor/printer that you can use to save/print your Buff conventions in ‘official’ ACBL format. Or simply use it to edit/save/print convention cards for any number of your favorite partners. More here . Bid Buddy This is a bidding utility that you can schedule to pop up on your desktop every few minutes, to relieve the boredom of your day at the office! It uses most of the conventions that you use for Buff, and works much the same way as the Buff bidding routines. You can schedule it to appear every few minutes, and it will appear with an interesting (but random) hand for you to bid. See here . Bid Sequencer Bid Sequencer produces bidding sequences for Microsoft Excel for ranges that you specify. The output can be saved to Microsoft EXCEL files (.XLS) which you can edit in any spreadsheet program. It defines all auctions in the range that you specify. This is a useful device for partnerships who want to produce system notes. For example, what does 1N-2 C |2 H -3 S mean in your system? Go here for more information. Pip Converter This utility enables you to convert WORD documents to include suit symbols. For example, it will convert 4 H to the symbol for hearts, and it will color certain bridge ‘words’ like ‘ hearts ’ and ‘KQxx/ Qxxx / xx /xxx’ (this utility requires that you have a version of Word, and sorry it is not guaranteed to work, but there is a good chance it will). We built this program to make our bridge correspondence look better, and it can do the same for you. See here for an example. System Builder System Builder is a bid designer integrated with Bridge Buff and Visual Deal. This innovation lets you design your own conventions, your own bidding treatments, even complete bidding systems, or modify bidding sequences to suit your preferences! Look here for details. Home Bridgeware copyright 1992 to 2007 Email ",11);arrFiles[38]=new Array(39,"search.html","6 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder Site Search (Go here for a dedicated bridge web search) Home Bridgeware copyright 1992 to 2007 Email ",3);arrFiles[39]=new Array(40,"sequencer.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder bid sequencer We hope this utility is useful for some users. It creates all bridge auctions within a range you specify, and writes them to an Excel file that you can notate and edit. When you run the program, click Options on the top menu. The Options Window Here we are creating auctions that start with 1NT (and 1NT only .. note the  \'From .. To \' selection. The final bid will be 3NT. We choose to view auctions that have as many as 6 bids. After we have selected our options, we Close this window, we click  \'Create Worksheet \', wait a few moments, and are presented with this. You can download this example spreadsheet. The Final Worksheet Please note the bid  \'explanations \' are for illustrative purposes only ... look to the bottom left. We have produced 638 bidding sequences, beginning with 1NT passed out, and ending with the last of the hundreds of 6-deep auctions which happens to be 1NT-3C | 3 - 3 | 3 - 3NT. This utility might be useful to some partnerships who want to ensure they understand what all sequences might mean. Some produced sequences will be silly ... 1NT - 2 | 3 for example. So you might want to edit the worksheet. You can only write comments in the primitive worksheet Sequencer produces, so to make the worksheet fully editable, so you can delete rows for example, you must take the following steps. How to Edit a Worksheet Save the worksheet to say Test.XLS using File ... Save Close Sequencer and open Excel and load Test.XLS Test.XLS is still not editable. However this is how you achieve that. HIGHLIGHT all the cells in the worksheet, and File .. Copy Close Test.XLS, and open a new worksheet Paste to the new worksheet. All the cells created by Sequencer will paste, and now the worksheet is editable The suit symbols will likely not display properly. We installed a special font so you can easily type the symbols. In Excel, highlight all the cells, and change the font to Comic Sans MS - Bridge. The symbols will display. Read more about that Font we installed in Sequencer ... menu item Font Installation Download this example spreadsheet. Home Bridgeware copyright 1992 to 2007 Email ",6);arrFiles[40]=new Array(41,"sequencer.xls","25 Oct 2006","sequencer","","","Sheet1 1 1N (1) A sample worksheet is displayed (2) For new one, click   \\ \'Options  \\ \', and make your choices 2 1N P 2} (3) Click   \\ \'Create Worksheet  \\ \', and wait a moment or two (4) Click   \\ \'File .. Save  \\ \' to save as *.XLS file 3 1N P 2{ (5) Edit the XLS file with EXCEL (or clone) 4 1N P 2] (6) Explain bids in this column, for example 5 1N P 2[ Shows both minors 6 1N P 2N Transfer to clubs 7 1N P 3} Puppet Stayman No five-card major 8 1N P 3{ 9 1N P 3] 10 1N P 3[ 11 1N P 3N 12 1N P 2} P 2{ 13 1N P 2} P 2] 14 1N P 2} P 2[ 15 1N P 2} P 2N 16 1N P 2} P 3} 17 1N P 2} P 3{ 18 1N P 2} P 3] 19 1N P 2} P 3[ 20 1N P 2} P 3N 21 1N P 2{ P 2] 22 1N P 2{ P 2[ 23 1N P 2{ P 2N 24 1N P 2{ P 3} 25 1N P 2{ P 3{ 26 1N P 2{ P 3] 27 1N P 2{ P 3[ 28 1N P 2{ P 3N 29 1N P 2] P 2[ 30 1N P 2] P 2N 31 1N P 2] P 3} 32 1N P 2] P 3{ 33 1N P 2] P 3] 34 1N P 2] P 3[ 35 1N P 2] P 3N 36 1N P 2[ P 2N 37 1N P 2[ P 3} 38 1N P 2[ P 3{ 39 1N P 2[ P 3] 40 1N P 2[ P 3[ 41 1N P 2[ P 3N 42 1N P 2N P 3} 43 1N P 2N P 3{ 44 1N P 2N P 3] 45 1N P 2N P 3[ 46 1N P 2N P 3N 47 1N P 3} P 3{ 48 1N P 3} P 3] 49 1N P 3} P 3[ 50 1N P 3} P 3N 51 1N P 3{ P 3] 52 1N P 3{ P 3[ 53 1N P 3{ P 3N 54 1N P 3] P 3[ 55 1N P 3] P 3N 56 1N P 3[ P 3N 57 1N P 2} P 2{ P 2] 58 1N P 2} P 2{ P 2[ 59 1N P 2} P 2{ P 2N 60 1N P 2} P 2{ P 3} 61 1N P 2} P 2{ P 3{ 62 1N P 2} P 2{ P 3] 63 1N P 2} P 2{ P 3[ 64 1N P 2} P 2{ P 3N 65 1N P 2} P 2] P 2[ 66 1N P 2} P 2] P 2N 67 1N P 2} P 2] P 3} 68 1N P 2} P 2] P 3{ 69 1N P 2} P 2] P 3] 70 1N P 2} P 2] P 3[ 71 1N P 2} P 2] P 3N 72 1N P 2} P 2[ P 2N 73 1N P 2} P 2[ P 3} 74 1N P 2} P 2[ P 3{ 75 1N P 2} P 2[ P 3] 76 1N P 2} P 2[ P 3[ 77 1N P 2} P 2[ P 3N 78 1N P 2} P 2N P 3} 79 1N P 2} P 2N P 3{ 80 1N P 2} P 2N P 3] 81 1N P 2} P 2N P 3[ 82 1N P 2} P 2N P 3N 83 1N P 2} P 3} P 3{ 84 1N P 2} P 3} P 3] 85 1N P 2} P 3} P 3[ 86 1N P 2} P 3} P 3N 87 1N P 2} P 3{ P 3] 88 1N P 2} P 3{ P 3[ 89 1N P 2} P 3{ P 3N 90 1N P 2} P 3] P 3[ 91 1N P 2} P 3] P 3N 92 1N P 2} P 3[ P 3N 93 1N P 2{ P 2] P 2[ 94 1N P 2{ P 2] P 2N 95 1N P 2{ P 2] P 3} 96 1N P 2{ P 2] P 3{ 97 1N P 2{ P 2] P 3] 98 1N P 2{ P 2] P 3[ 99 1N P 2{ P 2] P 3N 100 1N P 2{ P 2[ P 2N 101 1N P 2{ P 2[ P 3} 102 1N P 2{ P 2[ P 3{ 103 1N P 2{ P 2[ P 3] 104 1N P 2{ P 2[ P 3[ 105 1N P 2{ P 2[ P 3N 106 1N P 2{ P 2N P 3} 107 1N P 2{ P 2N P 3{ 108 1N P 2{ P 2N P 3] 109 1N P 2{ P 2N P 3[ 110 1N P 2{ P 2N P 3N 111 1N P 2{ P 3} P 3{ 112 1N P 2{ P 3} P 3] 113 1N P 2{ P 3} P 3[ 114 1N P 2{ P 3} P 3N 115 1N P 2{ P 3{ P 3] 116 1N P 2{ P 3{ P 3[ 117 1N P 2{ P 3{ P 3N 118 1N P 2{ P 3] P 3[ 119 1N P 2{ P 3] P 3N 120 1N P 2{ P 3[ P 3N 121 1N P 2] P 2[ P 2N 122 1N P 2] P 2[ P 3} 123 1N P 2] P 2[ P 3{ 124 1N P 2] P 2[ P 3] 125 1N P 2] P 2[ P 3[ 126 1N P 2] P 2[ P 3N 127 1N P 2] P 2N P 3} 128 1N P 2] P 2N P 3{ 129 1N P 2] P 2N P 3] 130 1N P 2] P 2N P 3[ 131 1N P 2] P 2N P 3N 132 1N P 2] P 3} P 3{ 133 1N P 2] P 3} P 3] 134 1N P 2] P 3} P 3[ 135 1N P 2] P 3} P 3N 136 1N P 2] P 3{ P 3] 137 1N P 2] P 3{ P 3[ 138 1N P 2] P 3{ P 3N 139 1N P 2] P 3] P 3[ 140 1N P 2] P 3] P 3N 141 1N P 2] P 3[ P 3N 142 1N P 2[ P 2N P 3} 143 1N P 2[ P 2N P 3{ 144 1N P 2[ P 2N P 3] 145 1N P 2[ P 2N P 3[ 146 1N P 2[ P 2N P 3N 147 1N P 2[ P 3} P 3{ 148 1N P 2[ P 3} P 3] 149 1N P 2[ P 3} P 3[ 150 1N P 2[ P 3} P 3N 151 1N P 2[ P 3{ P 3] 152 1N P 2[ P 3{ P 3[ 153 1N P 2[ P 3{ P 3N 154 1N P 2[ P 3] P 3[ 155 1N P 2[ P 3] P 3N 156 1N P 2[ P 3[ P 3N 157 1N P 2N P 3} P 3{ 158 1N P 2N P 3} P 3] 159 1N P 2N P 3} P 3[ 160 1N P 2N P 3} P 3N 161 1N P 2N P 3{ P 3] 162 1N P 2N P 3{ P 3[ 163 1N P 2N P 3{ P 3N 164 1N P 2N P 3] P 3[ 165 1N P 2N P 3] P 3N 166 1N P 2N P 3[ P 3N 167 1N P 3} P 3{ P 3] 168 1N P 3} P 3{ P 3[ 169 1N P 3} P 3{ P 3N 170 1N P 3} P 3] P 3[ 171 1N P 3} P 3] P 3N 172 1N P 3} P 3[ P 3N 173 1N P 3{ P 3] P 3[ 174 1N P 3{ P 3] P 3N 175 1N P 3{ P 3[ P 3N 176 1N P 3] P 3[ P 3N 177 1N P 2} P 2{ P 2] P 2[ 178 1N P 2} P 2{ P 2] P 2N 179 1N P 2} P 2{ P 2] P 3} 180 1N P 2} P 2{ P 2] P 3{ 181 1N P 2} P 2{ P 2] P 3] 182 1N P 2} P 2{ P 2] P 3[ 183 1N P 2} P 2{ P 2] P 3N 184 1N P 2} P 2{ P 2[ P 2N 185 1N P 2} P 2{ P 2[ P 3} 186 1N P 2} P 2{ P 2[ P 3{ 187 1N P 2} P 2{ P 2[ P 3] 188 1N P 2} P 2{ P 2[ P 3[ 189 1N P 2} P 2{ P 2[ P 3N 190 1N P 2} P 2{ P 2N P 3} 191 1N P 2} P 2{ P 2N P 3{ 192 1N P 2} P 2{ P 2N P 3] 193 1N P 2} P 2{ P 2N P 3[ 194 1N P 2} P 2{ P 2N P 3N 195 1N P 2} P 2{ P 3} P 3{ 196 1N P 2} P 2{ P 3} P 3] 197 1N P 2} P 2{ P 3} P 3[ 198 1N P 2} P 2{ P 3} P 3N 199 1N P 2} P 2{ P 3{ P 3] 200 1N P 2} P 2{ P 3{ P 3[ 201 1N P 2} P 2{ P 3{ P 3N 202 1N P 2} P 2{ P 3] P 3[ 203 1N P 2} P 2{ P 3] P 3N 204 1N P 2} P 2{ P 3[ P 3N 205 1N P 2} P 2] P 2[ P 2N 206 1N P 2} P 2] P 2[ P 3} 207 1N P 2} P 2] P 2[ P 3{ 208 1N P 2} P 2] P 2[ P 3] 209 1N P 2} P 2] P 2[ P 3[ 210 1N P 2} P 2] P 2[ P 3N 211 1N P 2} P 2] P 2N P 3} 212 1N P 2} P 2] P 2N P 3{ 213 1N P 2} P 2] P 2N P 3] 214 1N P 2} P 2] P 2N P 3[ 215 1N P 2} P 2] P 2N P 3N 216 1N P 2} P 2] P 3} P 3{ 217 1N P 2} P 2] P 3} P 3] 218 1N P 2} P 2] P 3} P 3[ 219 1N P 2} P 2] P 3} P 3N 220 1N P 2} P 2] P 3{ P 3] 221 1N P 2} P 2] P 3{ P 3[ 222 1N P 2} P 2] P 3{ P 3N 223 1N P 2} P 2] P 3] P 3[ 224 1N P 2} P 2] P 3] P 3N 225 1N P 2} P 2] P 3[ P 3N 226 1N P 2} P 2[ P 2N P 3} 227 1N P 2} P 2[ P 2N P 3{ 228 1N P 2} P 2[ P 2N P 3] 229 1N P 2} P 2[ P 2N P 3[ 230 1N P 2} P 2[ P 2N P 3N 231 1N P 2} P 2[ P 3} P 3{ 232 1N P 2} P 2[ P 3} P 3] 233 1N P 2} P 2[ P 3} P 3[ 234 1N P 2} P 2[ P 3} P 3N 235 1N P 2} P 2[ P 3{ P 3] 236 1N P 2} P 2[ P 3{ P 3[ 237 1N P 2} P 2[ P 3{ P 3N 238 1N P 2} P 2[ P 3] P 3[ 239 1N P 2} P 2[ P 3] P 3N 240 1N P 2} P 2[ P 3[ P 3N 241 1N P 2} P 2N P 3} P 3{ 242 1N P 2} P 2N P 3} P 3] 243 1N P 2} P 2N P 3} P 3[ 244 1N P 2} P 2N P 3} P 3N 245 1N P 2} P 2N P 3{ P 3] 246 1N P 2} P 2N P 3{ P 3[ 247 1N P 2} P 2N P 3{ P 3N 248 1N P 2} P 2N P 3] P 3[ 249 1N P 2} P 2N P 3] P 3N 250 1N P 2} P 2N P 3[ P 3N 251 1N P 2} P 3} P 3{ P 3] 252 1N P 2} P 3} P 3{ P 3[ 253 1N P 2} P 3} P 3{ P 3N 254 1N P 2} P 3} P 3] P 3[ 255 1N P 2} P 3} P 3] P 3N 256 1N P 2} P 3} P 3[ P 3N 257 1N P 2} P 3{ P 3] P 3[ 258 1N P 2} P 3{ P 3] P 3N 259 1N P 2} P 3{ P 3[ P 3N 260 1N P 2} P 3] P 3[ P 3N 261 1N P 2{ P 2] P 2[ P 2N 262 1N P 2{ P 2] P 2[ P 3} 263 1N P 2{ P 2] P 2[ P 3{ 264 1N P 2{ P 2] P 2[ P 3] 265 1N P 2{ P 2] P 2[ P 3[ 266 1N P 2{ P 2] P 2[ P 3N 267 1N P 2{ P 2] P 2N P 3} 268 1N P 2{ P 2] P 2N P 3{ 269 1N P 2{ P 2] P 2N P 3] 270 1N P 2{ P 2] P 2N P 3[ 271 1N P 2{ P 2] P 2N P 3N 272 1N P 2{ P 2] P 3} P 3{ 273 1N P 2{ P 2] P 3} P 3] 274 1N P 2{ P 2] P 3} P 3[ 275 1N P 2{ P 2] P 3} P 3N 276 1N P 2{ P 2] P 3{ P 3] 277 1N P 2{ P 2] P 3{ P 3[ 278 1N P 2{ P 2] P 3{ P 3N 279 1N P 2{ P 2] P 3] P 3[ 280 1N P 2{ P 2] P 3] P 3N 281 1N P 2{ P 2] P 3[ P 3N 282 1N P 2{ P 2[ P 2N P 3} 283 1N P 2{ P 2[ P 2N P 3{ 284 1N P 2{ P 2[ P 2N P 3] 285 1N P 2{ P 2[ P 2N P 3[ 286 1N P 2{ P 2[ P 2N P 3N 287 1N P 2{ P 2[ P 3} P 3{ 288 1N P 2{ P 2[ P 3} P 3] 289 1N P 2{ P 2[ P 3} P 3[ 290 1N P 2{ P 2[ P 3} P 3N 291 1N P 2{ P 2[ P 3{ P 3] 292 1N P 2{ P 2[ P 3{ P 3[ 293 1N P 2{ P 2[ P 3{ P 3N 294 1N P 2{ P 2[ P 3] P 3[ 295 1N P 2{ P 2[ P 3] P 3N 296 1N P 2{ P 2[ P 3[ P 3N 297 1N P 2{ P 2N P 3} P 3{ 298 1N P 2{ P 2N P 3} P 3] 299 1N P 2{ P 2N P 3} P 3[ 300 1N P 2{ P 2N P 3} P 3N 301 1N P 2{ P 2N P 3{ P 3] 302 1N P 2{ P 2N P 3{ P 3[ 303 1N P 2{ P 2N P 3{ P 3N 304 1N P 2{ P 2N P 3] P 3[ 305 1N P 2{ P 2N P 3] P 3N 306 1N P 2{ P 2N P 3[ P 3N 307 1N P 2{ P 3} P 3{ P 3] 308 1N P 2{ P 3} P 3{ P 3[ 309 1N P 2{ P 3} P 3{ P 3N 310 1N P 2{ P 3} P 3] P 3[ 311 1N P 2{ P 3} P 3] P 3N 312 1N P 2{ P 3} P 3[ P 3N 313 1N P 2{ P 3{ P 3] P 3[ 314 1N P 2{ P 3{ P 3] P 3N 315 1N P 2{ P 3{ P 3[ P 3N 316 1N P 2{ P 3] P 3[ P 3N 317 1N P 2] P 2[ P 2N P 3} 318 1N P 2] P 2[ P 2N P 3{ 319 1N P 2] P 2[ P 2N P 3] 320 1N P 2] P 2[ P 2N P 3[ 321 1N P 2] P 2[ P 2N P 3N 322 1N P 2] P 2[ P 3} P 3{ 323 1N P 2] P 2[ P 3} P 3] 324 1N P 2] P 2[ P 3} P 3[ 325 1N P 2] P 2[ P 3} P 3N 326 1N P 2] P 2[ P 3{ P 3] 327 1N P 2] P 2[ P 3{ P 3[ 328 1N P 2] P 2[ P 3{ P 3N 329 1N P 2] P 2[ P 3] P 3[ 330 1N P 2] P 2[ P 3] P 3N 331 1N P 2] P 2[ P 3[ P 3N 332 1N P 2] P 2N P 3} P 3{ 333 1N P 2] P 2N P 3} P 3] 334 1N P 2] P 2N P 3} P 3[ 335 1N P 2] P 2N P 3} P 3N 336 1N P 2] P 2N P 3{ P 3] 337 1N P 2] P 2N P 3{ P 3[ 338 1N P 2] P 2N P 3{ P 3N 339 1N P 2] P 2N P 3] P 3[ 340 1N P 2] P 2N P 3] P 3N 341 1N P 2] P 2N P 3[ P 3N 342 1N P 2] P 3} P 3{ P 3] 343 1N P 2] P 3} P 3{ P 3[ 344 1N P 2] P 3} P 3{ P 3N 345 1N P 2] P 3} P 3] P 3[ 346 1N P 2] P 3} P 3] P 3N 347 1N P 2] P 3} P 3[ P 3N 348 1N P 2] P 3{ P 3] P 3[ 349 1N P 2] P 3{ P 3] P 3N 350 1N P 2] P 3{ P 3[ P 3N 351 1N P 2] P 3] P 3[ P 3N 352 1N P 2[ P 2N P 3} P 3{ 353 1N P 2[ P 2N P 3} P 3] 354 1N P 2[ P 2N P 3} P 3[ 355 1N P 2[ P 2N P 3} P 3N 356 1N P 2[ P 2N P 3{ P 3] 357 1N P 2[ P 2N P 3{ P 3[ 358 1N P 2[ P 2N P 3{ P 3N 359 1N P 2[ P 2N P 3] P 3[ 360 1N P 2[ P 2N P 3] P 3N 361 1N P 2[ P 2N P 3[ P 3N 362 1N P 2[ P 3} P 3{ P 3] 363 1N P 2[ P 3} P 3{ P 3[ 364 1N P 2[ P 3} P 3{ P 3N 365 1N P 2[ P 3} P 3] P 3[ 366 1N P 2[ P 3} P 3] P 3N 367 1N P 2[ P 3} P 3[ P 3N 368 1N P 2[ P 3{ P 3] P 3[ 369 1N P 2[ P 3{ P 3] P 3N 370 1N P 2[ P 3{ P 3[ P 3N 371 1N P 2[ P 3] P 3[ P 3N 372 1N P 2N P 3} P 3{ P 3] 373 1N P 2N P 3} P 3{ P 3[ 374 1N P 2N P 3} P 3{ P 3N 375 1N P 2N P 3} P 3] P 3[ 376 1N P 2N P 3} P 3] P 3N 377 1N P 2N P 3} P 3[ P 3N 378 1N P 2N P 3{ P 3] P 3[ 379 1N P 2N P 3{ P 3] P 3N 380 1N P 2N P 3{ P 3[ P 3N 381 1N P 2N P 3] P 3[ P 3N 382 1N P 3} P 3{ P 3] P 3[ 383 1N P 3} P 3{ P 3] P 3N 384 1N P 3} P 3{ P 3[ P 3N 385 1N P 3} P 3] P 3[ P 3N 386 1N P 3{ P 3] P 3[ P 3N 387 1N P 2} P 2{ P 2] P 2[ P 2N 388 1N P 2} P 2{ P 2] P 2[ P 3} 389 1N P 2} P 2{ P 2] P 2[ P 3{ 390 1N P 2} P 2{ P 2] P 2[ P 3] 391 1N P 2} P 2{ P 2] P 2[ P 3[ 392 1N P 2} P 2{ P 2] P 2[ P 3N 393 1N P 2} P 2{ P 2] P 2N P 3} 394 1N P 2} P 2{ P 2] P 2N P 3{ 395 1N P 2} P 2{ P 2] P 2N P 3] 396 1N P 2} P 2{ P 2] P 2N P 3[ 397 1N P 2} P 2{ P 2] P 2N P 3N 398 1N P 2} P 2{ P 2] P 3} P 3{ 399 1N P 2} P 2{ P 2] P 3} P 3] 400 1N P 2} P 2{ P 2] P 3} P 3[ 401 1N P 2} P 2{ P 2] P 3} P 3N 402 1N P 2} P 2{ P 2] P 3{ P 3] 403 1N P 2} P 2{ P 2] P 3{ P 3[ 404 1N P 2} P 2{ P 2] P 3{ P 3N 405 1N P 2} P 2{ P 2] P 3] P 3[ 406 1N P 2} P 2{ P 2] P 3] P 3N 407 1N P 2} P 2{ P 2] P 3[ P 3N 408 1N P 2} P 2{ P 2[ P 2N P 3} 409 1N P 2} P 2{ P 2[ P 2N P 3{ 410 1N P 2} P 2{ P 2[ P 2N P 3] 411 1N P 2} P 2{ P 2[ P 2N P 3[ 412 1N P 2} P 2{ P 2[ P 2N P 3N 413 1N P 2} P 2{ P 2[ P 3} P 3{ 414 1N P 2} P 2{ P 2[ P 3} P 3] 415 1N P 2} P 2{ P 2[ P 3} P 3[ 416 1N P 2} P 2{ P 2[ P 3} P 3N 417 1N P 2} P 2{ P 2[ P 3{ P 3] 418 1N P 2} P 2{ P 2[ P 3{ P 3[ 419 1N P 2} P 2{ P 2[ P 3{ P 3N 420 1N P 2} P 2{ P 2[ P 3] P 3[ 421 1N P 2} P 2{ P 2[ P 3] P 3N 422 1N P 2} P 2{ P 2[ P 3[ P 3N 423 1N P 2} P 2{ P 2N P 3} P 3{ 424 1N P 2} P 2{ P 2N P 3} P 3] 425 1N P 2} P 2{ P 2N P 3} P 3[ 426 1N P 2} P 2{ P 2N P 3} P 3N 427 1N P 2} P 2{ P 2N P 3{ P 3] 428 1N P 2} P 2{ P 2N P 3{ P 3[ 429 1N P 2} P 2{ P 2N P 3{ P 3N 430 1N P 2} P 2{ P 2N P 3] P 3[ 431 1N P 2} P 2{ P 2N P 3] P 3N 432 1N P 2} P 2{ P 2N P 3[ P 3N 433 1N P 2} P 2{ P 3} P 3{ P 3] 434 1N P 2} P 2{ P 3} P 3{ P 3[ 435 1N P 2} P 2{ P 3} P 3{ P 3N 436 1N P 2} P 2{ P 3} P 3] P 3[ 437 1N P 2} P 2{ P 3} P 3] P 3N 438 1N P 2} P 2{ P 3} P 3[ P 3N 439 1N P 2} P 2{ P 3{ P 3] P 3[ 440 1N P 2} P 2{ P 3{ P 3] P 3N 441 1N P 2} P 2{ P 3{ P 3[ P 3N 442 1N P 2} P 2{ P 3] P 3[ P 3N 443 1N P 2} P 2] P 2[ P 2N P 3} 444 1N P 2} P 2] P 2[ P 2N P 3{ 445 1N P 2} P 2] P 2[ P 2N P 3] 446 1N P 2} P 2] P 2[ P 2N P 3[ 447 1N P 2} P 2] P 2[ P 2N P 3N 448 1N P 2} P 2] P 2[ P 3} P 3{ 449 1N P 2} P 2] P 2[ P 3} P 3] 450 1N P 2} P 2] P 2[ P 3} P 3[ 451 1N P 2} P 2] P 2[ P 3} P 3N 452 1N P 2} P 2] P 2[ P 3{ P 3] 453 1N P 2} P 2] P 2[ P 3{ P 3[ 454 1N P 2} P 2] P 2[ P 3{ P 3N 455 1N P 2} P 2] P 2[ P 3] P 3[ 456 1N P 2} P 2] P 2[ P 3] P 3N 457 1N P 2} P 2] P 2[ P 3[ P 3N 458 1N P 2} P 2] P 2N P 3} P 3{ 459 1N P 2} P 2] P 2N P 3} P 3] 460 1N P 2} P 2] P 2N P 3} P 3[ 461 1N P 2} P 2] P 2N P 3} P 3N 462 1N P 2} P 2] P 2N P 3{ P 3] 463 1N P 2} P 2] P 2N P 3{ P 3[ 464 1N P 2} P 2] P 2N P 3{ P 3N 465 1N P 2} P 2] P 2N P 3] P 3[ 466 1N P 2} P 2] P 2N P 3] P 3N 467 1N P 2} P 2] P 2N P 3[ P 3N 468 1N P 2} P 2] P 3} P 3{ P 3] 469 1N P 2} P 2] P 3} P 3{ P 3[ 470 1N P 2} P 2] P 3} P 3{ P 3N 471 1N P 2} P 2] P 3} P 3] P 3[ 472 1N P 2} P 2] P 3} P 3] P 3N 473 1N P 2} P 2] P 3} P 3[ P 3N 474 1N P 2} P 2] P 3{ P 3] P 3[ 475 1N P 2} P 2] P 3{ P 3] P 3N 476 1N P 2} P 2] P 3{ P 3[ P 3N 477 1N P 2} P 2] P 3] P 3[ P 3N 478 1N P 2} P 2[ P 2N P 3} P 3{ 479 1N P 2} P 2[ P 2N P 3} P 3] 480 1N P 2} P 2[ P 2N P 3} P 3[ 481 1N P 2} P 2[ P 2N P 3} P 3N 482 1N P 2} P 2[ P 2N P 3{ P 3] 483 1N P 2} P 2[ P 2N P 3{ P 3[ 484 1N P 2} P 2[ P 2N P 3{ P 3N 485 1N P 2} P 2[ P 2N P 3] P 3[ 486 1N P 2} P 2[ P 2N P 3] P 3N 487 1N P 2} P 2[ P 2N P 3[ P 3N 488 1N P 2} P 2[ P 3} P 3{ P 3] 489 1N P 2} P 2[ P 3} P 3{ P 3[ 490 1N P 2} P 2[ P 3} P 3{ P 3N 491 1N P 2} P 2[ P 3} P 3] P 3[ 492 1N P 2} P 2[ P 3} P 3] P 3N 493 1N P 2} P 2[ P 3} P 3[ P 3N 494 1N P 2} P 2[ P 3{ P 3] P 3[ 495 1N P 2} P 2[ P 3{ P 3] P 3N 496 1N P 2} P 2[ P 3{ P 3[ P 3N 497 1N P 2} P 2[ P 3] P 3[ P 3N 498 1N P 2} P 2N P 3} P 3{ P 3] 499 1N P 2} P 2N P 3} P 3{ P 3[ 500 1N P 2} P 2N P 3} P 3{ P 3N 501 1N P 2} P 2N P 3} P 3] P 3[ 502 1N P 2} P 2N P 3} P 3] P 3N 503 1N P 2} P 2N P 3} P 3[ P 3N 504 1N P 2} P 2N P 3{ P 3] P 3[ 505 1N P 2} P 2N P 3{ P 3] P 3N 506 1N P 2} P 2N P 3{ P 3[ P 3N 507 1N P 2} P 2N P 3] P 3[ P 3N 508 1N P 2} P 3} P 3{ P 3] P 3[ 509 1N P 2} P 3} P 3{ P 3] P 3N 510 1N P 2} P 3} P 3{ P 3[ P 3N 511 1N P 2} P 3} P 3] P 3[ P 3N 512 1N P 2} P 3{ P 3] P 3[ P 3N 513 1N P 2{ P 2] P 2[ P 2N P 3} 514 1N P 2{ P 2] P 2[ P 2N P 3{ 515 1N P 2{ P 2] P 2[ P 2N P 3] 516 1N P 2{ P 2] P 2[ P 2N P 3[ 517 1N P 2{ P 2] P 2[ P 2N P 3N 518 1N P 2{ P 2] P 2[ P 3} P 3{ 519 1N P 2{ P 2] P 2[ P 3} P 3] 520 1N P 2{ P 2] P 2[ P 3} P 3[ 521 1N P 2{ P 2] P 2[ P 3} P 3N 522 1N P 2{ P 2] P 2[ P 3{ P 3] 523 1N P 2{ P 2] P 2[ P 3{ P 3[ 524 1N P 2{ P 2] P 2[ P 3{ P 3N 525 1N P 2{ P 2] P 2[ P 3] P 3[ 526 1N P 2{ P 2] P 2[ P 3] P 3N 527 1N P 2{ P 2] P 2[ P 3[ P 3N 528 1N P 2{ P 2] P 2N P 3} P 3{ 529 1N P 2{ P 2] P 2N P 3} P 3] 530 1N P 2{ P 2] P 2N P 3} P 3[ 531 1N P 2{ P 2] P 2N P 3} P 3N 532 1N P 2{ P 2] P 2N P 3{ P 3] 533 1N P 2{ P 2] P 2N P 3{ P 3[ 534 1N P 2{ P 2] P 2N P 3{ P 3N 535 1N P 2{ P 2] P 2N P 3] P 3[ 536 1N P 2{ P 2] P 2N P 3] P 3N 537 1N P 2{ P 2] P 2N P 3[ P 3N 538 1N P 2{ P 2] P 3} P 3{ P 3] 539 1N P 2{ P 2] P 3} P 3{ P 3[ 540 1N P 2{ P 2] P 3} P 3{ P 3N 541 1N P 2{ P 2] P 3} P 3] P 3[ 542 1N P 2{ P 2] P 3} P 3] P 3N 543 1N P 2{ P 2] P 3} P 3[ P 3N 544 1N P 2{ P 2] P 3{ P 3] P 3[ 545 1N P 2{ P 2] P 3{ P 3] P 3N 546 1N P 2{ P 2] P 3{ P 3[ P 3N 547 1N P 2{ P 2] P 3] P 3[ P 3N 548 1N P 2{ P 2[ P 2N P 3} P 3{ 549 1N P 2{ P 2[ P 2N P 3} P 3] 550 1N P 2{ P 2[ P 2N P 3} P 3[ 551 1N P 2{ P 2[ P 2N P 3} P 3N 552 1N P 2{ P 2[ P 2N P 3{ P 3] 553 1N P 2{ P 2[ P 2N P 3{ P 3[ 554 1N P 2{ P 2[ P 2N P 3{ P 3N 555 1N P 2{ P 2[ P 2N P 3] P 3[ 556 1N P 2{ P 2[ P 2N P 3] P 3N 557 1N P 2{ P 2[ P 2N P 3[ P 3N 558 1N P 2{ P 2[ P 3} P 3{ P 3] 559 1N P 2{ P 2[ P 3} P 3{ P 3[ 560 1N P 2{ P 2[ P 3} P 3{ P 3N 561 1N P 2{ P 2[ P 3} P 3] P 3[ 562 1N P 2{ P 2[ P 3} P 3] P 3N 563 1N P 2{ P 2[ P 3} P 3[ P 3N 564 1N P 2{ P 2[ P 3{ P 3] P 3[ 565 1N P 2{ P 2[ P 3{ P 3] P 3N 566 1N P 2{ P 2[ P 3{ P 3[ P 3N 567 1N P 2{ P 2[ P 3] P 3[ P 3N 568 1N P 2{ P 2N P 3} P 3{ P 3] 569 1N P 2{ P 2N P 3} P 3{ P 3[ 570 1N P 2{ P 2N P 3} P 3{ P 3N 571 1N P 2{ P 2N P 3} P 3] P 3[ 572 1N P 2{ P 2N P 3} P 3] P 3N 573 1N P 2{ P 2N P 3} P 3[ P 3N 574 1N P 2{ P 2N P 3{ P 3] P 3[ 575 1N P 2{ P 2N P 3{ P 3] P 3N 576 1N P 2{ P 2N P 3{ P 3[ P 3N 577 1N P 2{ P 2N P 3] P 3[ P 3N 578 1N P 2{ P 3} P 3{ P 3] P 3[ 579 1N P 2{ P 3} P 3{ P 3] P 3N 580 1N P 2{ P 3} P 3{ P 3[ P 3N 581 1N P 2{ P 3} P 3] P 3[ P 3N 582 1N P 2{ P 3{ P 3] P 3[ P 3N 583 1N P 2] P 2[ P 2N P 3} P 3{ 584 1N P 2] P 2[ P 2N P 3} P 3] 585 1N P 2] P 2[ P 2N P 3} P 3[ 586 1N P 2] P 2[ P 2N P 3} P 3N 587 1N P 2] P 2[ P 2N P 3{ P 3] 588 1N P 2] P 2[ P 2N P 3{ P 3[ 589 1N P 2] P 2[ P 2N P 3{ P 3N 590 1N P 2] P 2[ P 2N P 3] P 3[ 591 1N P 2] P 2[ P 2N P 3] P 3N 592 1N P 2] P 2[ P 2N P 3[ P 3N 593 1N P 2] P 2[ P 3} P 3{ P 3] 594 1N P 2] P 2[ P 3} P 3{ P 3[ 595 1N P 2] P 2[ P 3} P 3{ P 3N 596 1N P 2] P 2[ P 3} P 3] P 3[ 597 1N P 2] P 2[ P 3} P 3] P 3N 598 1N P 2] P 2[ P 3} P 3[ P 3N 599 1N P 2] P 2[ P 3{ P 3] P 3[ 600 1N P 2] P 2[ P 3{ P 3] P 3N 601 1N P 2] P 2[ P 3{ P 3[ P 3N 602 1N P 2] P 2[ P 3] P 3[ P 3N 603 1N P 2] P 2N P 3} P 3{ P 3] 604 1N P 2] P 2N P 3} P 3{ P 3[ 605 1N P 2] P 2N P 3} P 3{ P 3N 606 1N P 2] P 2N P 3} P 3] P 3[ 607 1N P 2] P 2N P 3} P 3] P 3N 608 1N P 2] P 2N P 3} P 3[ P 3N 609 1N P 2] P 2N P 3{ P 3] P 3[ 610 1N P 2] P 2N P 3{ P 3] P 3N 611 1N P 2] P 2N P 3{ P 3[ P 3N 612 1N P 2] P 2N P 3] P 3[ P 3N 613 1N P 2] P 3} P 3{ P 3] P 3[ 614 1N P 2] P 3} P 3{ P 3] P 3N 615 1N P 2] P 3} P 3{ P 3[ P 3N 616 1N P 2] P 3} P 3] P 3[ P 3N 617 1N P 2] P 3{ P 3] P 3[ P 3N 618 1N P 2[ P 2N P 3} P 3{ P 3] 619 1N P 2[ P 2N P 3} P 3{ P 3[ 620 1N P 2[ P 2N P 3} P 3{ P 3N 621 1N P 2[ P 2N P 3} P 3] P 3[ 622 1N P 2[ P 2N P 3} P 3] P 3N 623 1N P 2[ P 2N P 3} P 3[ P 3N 624 1N P 2[ P 2N P 3{ P 3] P 3[ 625 1N P 2[ P 2N P 3{ P 3] P 3N 626 1N P 2[ P 2N P 3{ P 3[ P 3N 627 1N P 2[ P 2N P 3] P 3[ P 3N 628 1N P 2[ P 3} P 3{ P 3] P 3[ 629 1N P 2[ P 3} P 3{ P 3] P 3N 630 1N P 2[ P 3} P 3{ P 3[ P 3N 631 1N P 2[ P 3} P 3] P 3[ P 3N 632 1N P 2[ P 3{ P 3] P 3[ P 3N 633 1N P 2N P 3} P 3{ P 3] P 3[ 634 1N P 2N P 3} P 3{ P 3] P 3N 635 1N P 2N P 3} P 3{ P 3[ P 3N 636 1N P 2N P 3} P 3] P 3[ P 3N 637 1N P 2N P 3{ P 3] P 3[ P 3N 638 1N P 3} P 3{ P 3] P 3[ P 3N Spreadsheet  \\ \'s Author: doug Last Updated with Excel 97 ",316);arrFiles[41]=new Array(42,"simbidding.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder Simulation bidding Bridge programs usually use a set of rules for bidding, or a large database of bids. For example, if you are overcaller, and opener bids 1 , there will be a set of rules that the program follows. One rule might be  \'Bid 1 with 10 points and at least 5 hearts \'. For a given hand, the program will always make the same bid because it steps through the same lines of code. Holding say Axx/KQJxx/Qxxx/x, it will always overcall 1 because that rule says to. The program will never change its  \'mind \' SIMULATION bidding works differently. This crudely is what happens. After an opening bid of say 1 , the program deals a number of hands that fit the auction to date. In this case, it deals hands where RHO opener bids 1 , and the overcalling hand is known. After the deals are made, it assesses whether or not overcaller and partner might have a fit. Perhaps in this case overcaller holds Axx/Kxxxx/xxxx/x, and the sampling of deals suggests that on average, overcaller and his partner have an average heart fit of say 8.3 hearts. With this information, those hands are passed through a double-dummy analyzer to see how the partnership fares in a heart contract, compared to the opponent \'s playing in their contract. Here, the program will probably decide that it gains more by bidding and playing 1 than by letting the opps play in 1 , so overcaller will bid 1 . However on  \'close \' decisions, depending on the sample of hands, overcaller MIGHT decide to pass with this holding. That means that Buff might  \'change it \'s mind \' on a rebid. On some auctions, it might decide to bid, or pass, or double depending on the sample of simulated deals. The auctions are much more cluttered, the opponents more active, and some bids might seem unusual or aggressive, but are not so goofy that you wouldn \'t see them made in a typical matchpoint game. It \'s fun. The program finds lots of penalty doubles, and some of them will make, but many will not. It might bid one more even expecting to go down, if that score will be better than letting the opponents play their contract. The bidding will not be instant, because Buff  \'thinks \' about the bids. Not all bids are simulated. In highly conventional, tightly defined sequences, for example Stayman sequences, the bidding remains rule-based. Here, you have the option to establish the approximate  \'thinking time \' for simulation bids. The TOOLBAR allows you to extend the thinking time, stop the thinking, and switch Simulation bidding on or off. Home Bridgeware copyright 1992 to 2007 Email ",6);arrFiles[42]=new Array(43,"temp.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder common questions & answers The bidding area doesn \'t show suit symbols properly. A font with suit symbols did not install properly. First, try uninstalling, then reinstalling. If that doesn \'t work and you don \'t really care if the suit symbols display, and don \'t mind if the bids display as  \'1  \', then got to SETUP (top menu) and click the  \'show bids as 1  \' checkbox. If you want to install the font manually, go here to download the font . Your browser will probably give you a couple of options ... choose Save to File. After the download is completed, a simple copy of the font to your Windows \\Fonts folder usually works. If not, use the Font Install routine ... Start - Settings - Control Panel - <doubleclick> FONTS - File (top left) - Install New Font - then go to where you had downloaded the font. Getting Message “Subscript out of range” (Buff closes) or sometimes wrong contract appears to be played and/or score This might happen (rarely) if your option settings and playing choices are a particular combination. Try one or both of these workarounds Go to the top menu Playing … Artificial Intelligence Options .. Buff Will Claim. Turn that Claim option off. We’re told the claiming is annoying anyway, and is based on an AI projection so is not infallible. That might solve the problem. Go to Playing .. Pause At End of Trick and make sure that option is checked ON = YES. Buff Status-Bar doesn \'t display (usually but not always Windows XP), or cannot see bottom of Buff windows because the Windows Taskbar covers it The Buff Status bar at the bottom of the playing screen is not visible. This is probably caused by one of the following: The Windows Taskbar covers it. Go to Start .. Settings ..Taskbar .. and make sure Lock and Keep on Top are not checked. Change the THEME to Windows Classic. Go to Start .. Settings .. Control Panel .. Display. When there, at Themes .. select Windows Classic. Change the Font to Normal. Go to Start .. Settings .. Control Panel .. Display. When there, at Appearance, select Font Size Normal. Large might also work. Home Bridgeware copyright 1992 to 2007 Email ",5);arrFiles[43]=new Array(44,"vdexamples.html","2 Nov 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Searches Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder Visual Deal Visual Deal is a hugely flexible Deal Generator that stands alone by virtue of its ease-of-use, its flexibility, and the fact it includes the generation of complete auctions and play-of-the-hand. Visual Deal uses Bridge Buff bidding and playing modules. Two Visual Deal Studies The issue is this. You and partner play weak NTs (12-14). When partner opens 1NT, and you hold a 5-3-3-2 hand like KQxxx/Kxx/xxx/xx, partner likes you to play in the major (by bidding 2 , or transferring with 2 ). You wonder if it might not be better over the long run to play in 1NT. What strategy is best over the long haul? Visual Deal lets you find out. You set up a variable weak NT hand in North, and KQ765/K76/765/76 in South. You ask Visual Deal to play out 1000 deals in 2 by South. After a couple of minutes Visual Deal produces a summary that shows the contract makes about 70% of the time. Now you repeat the process, but instead ask Visual Deal to play out the contracts in 1NT by North. The summary says the contract makes about 55% of the time. This time, partner was right. The best contract, long term, is 2 . But what if the hand was T9876/K76/KQ7/76? Test it out! Another one ... The issue is this. You got a poor result in a competitive auction at the club. You held Kxxx/AKxx/xx/Kxx. RHO opened 1 . The auction proceeded as follows: 1 /X/1 /2 //2 , to you. I could Pass, Double for penalties, or bid 3 . I chose to Pass, and they made it, for a poor result for us. I wondered if this was poor judgement, or bad luck. I asked Visual Deal to look at this deal. I asked to see deals where the auction went as described, and overcaller had my hand. I viewed a few dozen deals, and it very quickly became apparent that the best bid was clearly 3 , so our poor result was not bad luck. I had simply visualized the hands poorly. The moral? Use Visual Deal to improve the way you visualize hands! Home Bridgeware copyright 1992 to 2007 Email ",6);arrFiles[44]=new Array(45,"views.html","28 Oct 2006","Bridge Buff","","","Home Products Conventions Purchase Downloads Links Contact Us Products Bridge Buff 15 Visual Deal 7 Convention Card Editor Bid Buddy Bid Sequencer Pip Converter System Builder heading All these programs are included in the one low price, whether you order the CDROM, or we email you a download link. 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