my backgammon study: 2012

2012年3月27日火曜日

クイズコンテストのおいら的解説(part3)

2012大阪オープンクイズコンテストをといてみた。適当に解説してみる。

自己採点でこんな感じでした。不正解の問題にかんして解説があまりよくないことをご了承ください。

正解 1, 2, 5, 6, 8, 10

不正解 3, 4, 7, 9

no timeでやれといわれたら13/9(2) 21/17(2)
状況

41pip負けで、4ゾロで16進んだ後も25負け
Cubeを引いている。
相手のボードは弱い。（ギャモンを取られにくい）
自分のボードはほぼ最強

やりたいこと：相手をヒットする

13/1 21/17とすると

ボードが完成する。相手を打てればキューブを使って即勝ちである
66 61以外の6xでdouble shotかそれ相応のshotをもらえる。
キューブをもっているので最後まで振ることができる。
125がhit目とcover目で重複している。125組み合わせと44, 33,66以外は相手はプレーに困難が伴うだろう。

状況

Scoreが1-1/5で、2cubeをわたしてしまっている
こちらはback checkerを2枚とも脱出させている
相手はアンカーを持っていないが、スプリットしている

どうしたいか？

ぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたいぎゃもんとりたい

そうすれば、マッチ勝ち

hitすると25 43でアンカーを取られるが、ヒットしないと6xと15 24 33でアンカーされてしまい、楽にギャモンを防がれてしまう。
4通りダンスする
18ptの敵のチェッカーが逃げるのに苦労する。i.e. 35とか。

勝率ではすれ違いにいく13/5(2)が優れているが、それをプレーする時ではない。

Q10

状況

10-6/11 post-crawford, 2倍のcubeを引いている.
- backgammon負けはmatch負け
- 勝てばmatch勝ち
- redoubleしないし意味が無い
coup classic

no timeでやれといわれたら、24/18 10/6. backgammon saveにものすごく意味があるから。

やることは場合分けしてMWCを見積もる。クイズなので紙に書くのがよいと思います。
完全に清書するつもりは無いのでいくつか略語の説明をしておきます。

MWC: Match Winning Chanceの略。マッチ勝ちの確率
co: close out.

計算ミスがあると思いますが大体のところは分かると思います。

Stayする場合のMWC見積り

backgammonまけが1/6くらいあるはず 5通りのゾロ目 + 32とか振ってしまうケース, 1/6つまり約16%くらいでこの場合のスコアのMWC 0%、寄与分は当然0%
11でない1xのうちの20wayが当たって、そのうち半分が2枚coまでいくとしても、2枚co 13offは勝率70%くらい。
つまり10wayの20/36のさらに7割が勝ちとなる。それは140/1296 ~ 140/1300 ~ 9.5%くらいで、マッチ勝ちなのでMWC 100%、よって寄与分は+ 9.5%
また、あたりさえすればほぼGsaveで、9.5%でたどり着くスコアはMWC 70%(10-8/11 p.cf)よって寄与分は+6.5%
2offされてもhitできればたぶんGsave or 66でもGsave。まれに勝つこと(coで3%)があるけど、たまにgammonとられるので相殺とみなす。よって2offの20wayのうちの12/36(1x+66)は 6.6way 18%くらい？その場合 MWC70%なので、寄与分は+ 12.6%
stayしてヒットできず、Gをとられるケース、20wayのうちの22/36(3-2はカウント済み)であり、
これは440/1296 ~ 440/1300 ~ 33.5%とか、この場合はMWC50%なので寄与分は16.5%

以上よりStayした場合のMWC = 0 + 9.5 + 6.5+ 12.6 +16.5= 45.1%

一方Outした場合は

Gsaveはnon-22upのあとに44upなので 31/36*3/36 = 93/1300 = 7%、このスコアはMWC70%で、寄与分は約5%
Gammonになるケースは93%で、このスコアのMWCは50%、寄与分は46.5%

以上より、5%+46.5% = 51%

よって、Backgammon saveを確定させ、Gammon Saveが一番多い24/18 10/6もしくは24/14が正しい

ところでstayを選ばないと4のプレーの2通り(18/14と10/6)等価に見えるんですが・・・
どうして等価なのかわからないならQ2の解法を読み直しましょう。

クイズコンテストのおいら的解説(part2)

2012大阪オープンクイズコンテストをといてみた。適当に解説してみる。

自己採点でこんな感じでした。不正解の問題にかんして解説があまりよくないことをご了承ください。

正解 1, 2, 5, 6, 8, 10

不正解 3, 4, 7, 9

状況として

レースに負けている
ボードで負けている
相手がon the barである
outerに相手のblotがいっぱい転がっている
勝つためには3つのチェッカーがたどり着く必要がある

となっている。

ということは次の条件を満たしたい。

相手を打ちたい。
打たれたくない。
後ろのコマを捌きたい

これらの条件を満たすプレーが存在して、それは17/14 21/15である。

相手のエンター目とヒット目のデュプリケーション(4, 5)
2枚目ヒットしたいのでコンタクトする必要がある(4, 5)。 17/8だと5でしか打つことができない。
21ptのコマが逃げ始めている。17/8などだととりあえずは安全かもしれないが、次以降かなり困る。

よって17/14 21/15を選ぶのはたやすい。

状況

4枚もどされていて勝つのに時間がかかる。
優れたアンカーがある
相手のボードが弱い
相手のビルダーが弱い

したがって形を優先し必要なら大胆プレーすることが求められている。

選択肢は

8/4 6/5
20/16 8/7

前者はpureな手。後者はそこそこ安全にしつつ20ptのコマを使おうとするプレーである。
私の信条は「board強いことは正義」であり、形が優先されていて、大胆にプレーすることが求められている。
打たれるダメージは少ない。また、20ptを処理することは後でもできる。

したがって8/4 6/5

状況

自陣の方が強い。したがってヒットすることは選択肢に入らなければならない。
レースで大幅に負けている。これもヒットしたい理由になる。
相手のコマが1枚死んでいる。したがって長期戦は望むところである
互いに後ろの3枚のチェッカーをどのようにおうちにたどり着かせるか、というゲームである

9/1*は次のようなメリットがある

9通り休む。
26 36はshotがくる。アンカーを外すわけにはいかないので7/1とすることになり、shotが残る上に1ptにコマを詰ませることができる
35は、ショットがこないものの6/1となり、やはりさらにコマが1枚死ぬことになる。
仮にリターンヒットされたとしても相手の2ptに傷が残る可能性がある。またアンカーがあるので致命傷にはならない。

hitしない限りこの様な大きなメリットを得ることはできない。したがって9/1*

クイズコンテストのおいら的解説(part1)

2012大阪オープンクイズコンテストをといてみた。適当に解説してみる。

自己採点でこんな感じでした。不正解の問題にかんして解説があまりよくないことをご了承ください。

正解 1, 2, 5, 6, 8, 10

不正解 3, 4, 7, 9

短い解説: 33 up に合わせる。

超細かい解説: 相手はまあまず1ロールで上がります。この場合なにをやっても関係なく負けます。まれに2ロールかかります。その時にこちらは1回しか振ることができません。したがってゾロ目を有効に使う必要があります。現在残りpipが15(6+5+4)で、いま21を振ったので残りは12になります。12を上がることができるゾロ目は33がもっとも小さいです。したがって33であがれるような形をまず検討します。3に置けば、効率よく使えるので、5/3 4/3を検討します。残った形が3ptに2枚、6ptに一枚の形になり、狙いどおり33で上がることができます。次に、33より大きなゾロ目で上がれるかどうかを確認します。44, 55は6ptのコマがそれぞれ2pt, 1ptに進みそこから3回の形になるのでやはり上がることができます。これでこのプレーが正しいと確認ができます。

短い解説: 33upに合わせる。55で15からoff, 44で4/oとなることに注意

超細かい解説: gammon saveの問題です。相手がゾロ目を振らなかったときにもっともセーブできるようにチェッカーを配置する問題です。gammon saveの場合はアウターのpipとクロスオーバーが問題になります。この問題では16ptにあるチェッカーのpipがまず問題になります。16ptから6ptに進むのに10pipあります。クロスオーバーは16ptのコマがinnerに入るために2回、bear offするために1回必要になります。出目1と2では一回もクロスオーバーすることができません。このクロスオーバーに関する条件から、次ゾロ目を振らないとsaveできないことがまずわかります。次にpipについて考えるとouterのpipが10pipで、2+1で3進めると残り7pipとなり、22では6しか進めない（最後の1回をbeaf offに使うのでbear inには3回しか使うことができない）ので少なくとも33 upが必要であると分かります。

のこりは33upを用いて上がることが出きるようなチェッカーを検討する作業になります。33の場合、innerの3ptにコマがあるので、outerで3回3を使い、bear inするようにできればよいことになります。したがって16ptから動きさえすればよいと言うことが分かります。44の場合、4ptにコマがありません。この様な場合、4ptにコマを持ってきておく、か、44の3回目のプレーで4ptに着地するように配置することになります。後者を満たそうとすると16ptのコマが該当し、この条件を満たそうとすると、33で上がることができなくなります。前者だと6/4とするため、33であがるために16/15となります。44と33の条件から16/15 6/4であろういえます。55についてみると、やはり5ptにコマがないため、同様に6/5をするか、16/15を行うかの2択になります。16/15が44,33の検討内容よりより望ましい選択肢であることがわかります。最後に66を確認します。55で上がることができれば66でかならず上がることができます。

解説：間違えた問題orz。まず1が4/3 or 3/2の2択ですが、3/2としてしまうとshotが残る(3ptのblotが2では逃げられない）ので4/3しかありえないので確定します。なので、この問題は4/2とするか、2/offとするかという問題になります。

コンタクトがあるbear offを考える上で考えるべき要素は、いくつかあります。

レースで確実に勝っているか？
gammonをとりにいくか？
後ろ二つのポイントの奇偶

まずレースに関してですがまったく問題ないです

gammonを取りにいくかどうかですが、scoreが0-0/3ptでキューブを渡しており、gammon勝ち意味があります。次にどのくらい可能性があるか、です。相手がbear offするためには、24ptのコマ2枚と18ptのコマ1枚をすくなくとも6ptに運ぶ必要があります。そのため、18pip*2+12*1=48pipすすむ必要があるのです。48pipということは平均8pip進むという考えの下では少なくとも6roll必要であると言えます。一方で、こちらはすでに3枚上がっていて残り12枚でかつコマが寄っているので6rollで上がることもあるでしょう(1を振らずに割れても打たれることがなかった場合）。ロール数の比較から、すでに21を振っているとはいえ、良好なチャンスがあり、打たれた場合即負けなので、無理をする必要はないが極度に安全策を取るわけにはいかないということが分かります。

一般に安全のためには「一番後ろのpointは偶数」、「一番後ろと2番目のpointのチェッカーの合計数を偶数」にせよという方針があります。

これらをまとめると：

2/off

デメリット: 一番後ろが奇数枚(5)になる(i.e.44, 55, 66で割れる）。
メリット: もう一度1を振っても上がるために必要なロール数が増えることがない。（上がるので11枚6rollになっているから）
メリット: 後ろの2つの合計が偶数

4/2は2/offの逆。

以上より2/offが正解となる。

解説：間違えた問題orz。rule上、bar/24は強制。24/23*は必須である。必須である理由だが、相手は3-6ptの4primeを持っている。これを飛び越えないかぎり勝つことはできない。したがってprimeのエッジによる手を選択したい。
またこの手は相手をhitすることができる。さらにエッジによることを支持する状況がある。相手のblotがアウターに2つ存在している。また、2ptと1ptへのビルダーが存在していない。

ここからあと2回だが、3/2*をまず選ぶことになる。これで3ptにスタックして使うことができていないコマを使うことができる。またdouble hitすることになり、相手の動きが止まる。

最後に6/5, 3/2 2/1*の3つから選ぶことになるが、まず2/1*が無い。すでに2つバーにあげているので3つ目に意味が無いわけではないが、ボードを強くする方が効果的である。3/2 6/5の2択だが、3/2が6/5に比べ次の理由で勝る

3ptのコマは2pt 1ptにしか行くことができない。
diversification. 56をバックマンの飛び出しに使いたい。3/2とすれば、5ptをカバーする3,1とかぶらない。

通常6/5は勝ちの高い5ptを作るという点で2ptを作るよりも勝っているが、primingで勝つのではなくblitzで勝つゲームプランにあたるので、その差は序盤のそれほど大きくない。

2012年2月5日日曜日

GNU Backgammon  Position ID: DwAAwLZ7IAQAAA
                 Match ID   : UYkYAAAAAAAA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg
 |          X       |   |                O | OOO 0 points
 |                  |   |                O | OO  
 |                  |   |                O | OO  
 |                  |   |                O | OO  
 |                  |   |                  | OO 
v|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X  X             |     
 |                  |   | X  X  X  X  X    |     Rolled 16
 | X                |   | X  X  X  X  X    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: nori (Cube: 2)


    1. Cubeful 2-ply    16/15 12/6                   Eq.:  -1.907
       0.000 0.000 0.000 - 1.000 0.907 0.000
        2-ply cubeful prune [world class]
    2. Cubeful 2-ply    16/9                         Eq.:  -1.907 ( +0.000)
       0.000 0.000 0.000 - 1.000 0.907 0.000
        2-ply cubeful prune [world class]
    3. Cubeful 2-ply    16/10 2/1                    Eq.:  -1.931 ( -0.023)
       0.000 0.000 0.000 - 1.000 0.931 0.000
        2-ply cubeful prune [world class]

 GNU Backgammon  Position ID: HwAAgG33QAgAAA
                 Match ID   : UYkYAAAAAAAA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg
 |          X       |   |                O | OO  0 points
 |                  |   |                O | OO  
 |                  |   |                O | OO  
 |                  |   |                O | OO  
 |                  |   |                O | OO 
v|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X  X             |     
 |                  |   | X  X  X  X  X    |     Rolled 16
 | X                |   | X  X  X  X  X    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: nori (Cube: 2)


    1. Cubeful 4-ply    16/15 12/6                   Eq.:  -1.391
       0.000 0.000 0.000 - 1.000 0.391 0.000
        4-ply cubeful prune [4ply]
    2. Cubeful 4-ply    12/6 2/1                     Eq.:  -1.397 ( -0.006)
       0.000 0.000 0.000 - 1.000 0.397 0.000
        4-ply cubeful prune [4ply]

 GNU Backgammon  Position ID: 3wAAALbdAyEAAA
                 Match ID   : UYkYAAAAAAAA
 +13-14-15-16-17-18------19-20-21-22-23-24-+     O: gnubg
 |          X       |   |             O  O | OO  0 points
 |                  |   |             O  O | OO  
 |                  |   |                O | OO  
 |                  |   |                O | O   
 |                  |   |                O | O  
v|                  |BAR|                  |     
 |                  |   |                  |    
 |                  |   | X                |     
 |                  |   | X  X             |     
 |                  |   | X  X  X  X  X    |     Rolled 16
 | X                |   | X  X  X  X  X    |     0 points
 +12-11-10--9--8--7-------6--5--4--3--2--1-+     X: nori (Cube: 2)


    1. Cubeful 4-ply    12/6 2/1                     Eq.:  -1.089
       0.000 0.000 0.000 - 1.000 0.089 0.000
        4-ply cubeful prune [4ply]
    2. Cubeful 4-ply    16/15 12/6                   Eq.:  -1.091 ( -0.001)
       0.000 0.000 0.000 - 1.000 0.091 0.000
        4-ply cubeful prune [4ply]

2012年1月9日月曜日

XGID=-ACCAAB---------babbBBbdb-:1:1:1:52:0:0:3:0:10

X:zoophagous   O:katla34
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |          O  O  O |   | O  X  X  O  O  O |
 |          O     O |   | O  X  X  O  O  O |
 |                  |   |             O    |
 |                  |   |             O    |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |          X  X    | +---+
 |                  |   | X        X  X    | | 2 |
 |                  |   | X  X  X  X  X  X | +---+
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 119  O: 68 X-O: 0-0
Cube: 2, X own cube
X to play 52

    1. XG Roller+  6/4 6/1                      eq:-0.652
      Player:   21.27% (G:1.41% B:0.03%)
      Opponent: 78.73% (G:16.49% B:0.08%)

    2. XG Roller+  20/15 3/1                    eq:-0.746 (-0.093)
      Player:   21.75% (G:2.68% B:0.06%)
      Opponent: 78.25% (G:28.15% B:0.30%)

    3. 3-ply       6/1 3/1                      eq:-0.799 (-0.146)
      Player:   16.83% (G:1.07% B:0.02%)
      Opponent: 83.17% (G:20.49% B:0.18%)

    4. 3-ply       20/13                        eq:-0.810 (-0.158)
      Player:   18.57% (G:2.49% B:0.08%)
      Opponent: 81.43% (G:26.94% B:0.29%)

    5. 3-ply       20/15 6/4                    eq:-0.862 (-0.209)
      Player:   17.61% (G:2.42% B:0.08%)
      Opponent: 82.39% (G:29.65% B:0.40%)


eXtreme Gammon Version: 2.01

XGID=--CBAAD------a--b-cdBBabb-:1:1:1:53:0:0:3:0:10

X:zoophagous   O:katla34
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | O        O     O |   | O  X  X  O  O  O |
 |          O     O |   | O  X  X     O  O |
 |                O |   | O                |
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 |                  |   | X           X    | +---+
 |                  |   | X        X  X    | | 2 |
 |                  |   | X  X  X  X  X    | +---+
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 127  O: 84 X-O: 0-0
Cube: 2, X own cube
X to play 53

    1. XG Roller+  20/12                        eq:-0.648
      Player:   20.83% (G:3.07% B:0.12%)
      Opponent: 79.17% (G:16.23% B:0.27%)

    2. XG Roller+  6/1 4/1                      eq:-0.662 (-0.014)
      Player:   18.76% (G:1.06% B:0.02%)
      Opponent: 81.24% (G:11.38% B:0.09%)

    3. XG Roller+  6/3 6/1                      eq:-0.718 (-0.070)
      Player:   17.33% (G:1.03% B:0.02%)
      Opponent: 82.67% (G:13.42% B:0.17%)

    4. 4-ply       20/17 20/15                  eq:-0.755 (-0.107)
      Player:   19.70% (G:2.29% B:0.08%)
      Opponent: 80.30% (G:23.80% B:0.38%)

    5. 3-ply       6/1 5/2                      eq:-0.729 (-0.081)
      Player:   16.62% (G:0.90% B:0.03%)
      Opponent: 83.38% (G:12.84% B:0.13%)


eXtreme Gammon Version: 2.01

XGID=-aa-CBC-B--AbB---bcd--Bb--:0:0:1:00:0:0:3:0:10

X:zoophagous   O:LASHKH92
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O        X  O    |
 | X           O  O |   | O        X  O    |
 |                O |   | O                |
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   | X     X          |
 | O           X    |   | X  X  X          |
 | O  X        X    |   | X  X  X     O  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 137  O: 138 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   68.75% (G:27.98% B:0.96%)
Opponent Winning Chances: 31.25% (G:7.00% B:0.25%)

Cubeless Equities: No Double=+0.592, Double=+1.194

Cubeful Equities:
       No double:     +0.794 (-0.176)
       Double/Take:   +0.970
       Double/Pass:   +1.000 (+0.030)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=----abDBCB-------bccbBb-AA:0:0:1:43:0:0:0:1:10

X:zoophagous   O:mener72
Score is X:0 O:0 1 pt.(s) match.
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |             O  O |   | O  O  X  O     X |
 |             O  O |   | O  O  X  O       |
 |                O |   | O                |
 |                  |   |                  |
 |                  | X |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 |             X    |   | X                |
 |          X  X  X |   | X  O             |
 |          X  X  X |   | X  O  O          |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 171  O: 132 X-O: 0-0/1
Cube: 1
X to play 43

    1. XG Roller+  Bar/21 24/21                 eq:-0.144
      Player:   42.78% (G:7.32% B:0.27%)
      Opponent: 57.22% (G:18.02% B:0.50%)

    2. XG Roller+  Bar/21 6/3                   eq:-0.218 (-0.074)
      Player:   39.10% (G:7.29% B:0.28%)
      Opponent: 60.90% (G:24.31% B:1.01%)

    3. 3-ply       Bar/21 7/4*                  eq:-0.340 (-0.196)
      Player:   32.99% (G:5.12% B:0.14%)
      Opponent: 67.01% (G:34.06% B:1.94%)

    4. 2-ply       Bar/21 9/6                   eq:-0.448 (-0.304)
      Player:   27.60% (G:3.81% B:0.08%)
      Opponent: 72.40% (G:28.06% B:1.07%)


eXtreme Gammon Version: 2.01, MET: Kazaross XG2

XGID=---ba-DBBB-A-A---bccbBb-A-:0:0:1:65:0:0:0:1:10

X:zoophagous   O:mener72
Score is X:0 O:0 1 pt.(s) match.
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O  O  X  O     X |
 |             O  O |   | O  O  X  O       |
 |                O |   | O                |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 |                  |   | X                |
 |          X  X  X |   | X        O       |
 |    X     X  X  X |   | X     O  O       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 162  O: 136 X-O: 0-0/1
Cube: 1
X to play 65

    1. XG Roller+  21/16 21/15                  eq:+0.097
      Player:   54.85% (G:11.84% B:0.43%)
      Opponent: 45.15% (G:21.37% B:1.92%)

    2. XG Roller+  13/8 11/5                    eq:+0.041 (-0.056)
      Player:   52.05% (G:12.31% B:0.46%)
      Opponent: 47.95% (G:21.15% B:1.16%)

    3. 3-ply       13/7 11/6                    eq:+0.007 (-0.091)
      Player:   50.33% (G:11.13% B:0.35%)
      Opponent: 49.67% (G:14.80% B:0.70%)

    4. 3-ply       13/7 6/1                     eq:+0.000 (-0.097)
      Player:   50.00% (G:10.78% B:0.30%)
      Opponent: 50.00% (G:15.10% B:0.72%)

    5. 3-ply       13/2                         eq:-0.017 (-0.114)
      Player:   49.15% (G:10.61% B:0.32%)
      Opponent: 50.85% (G:16.40% B:0.90%)


eXtreme Gammon Version: 2.01, MET: Kazaross XG2

XGID=--aB--DCB---bB---bbeB---c-:0:0:1:33:0:0:0:1:10

X:zoophagous   O:mener72
Score is X:0 O:0 1 pt.(s) match.
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O  X           O |
 | X           O  O |   | O  X           O |
 |                  |   | O              O |
 |                  |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 |                X |   | X                |
 | O           X  X |   | X        X       |
 | O           X  X |   | X        X  O    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 133  O: 112 X-O: 0-0/1
Cube: 1
X to play 33

    1. XG Roller+  13/4 7/4                     eq:+0.315
      Player:   65.73% (G:18.42% B:0.88%)
      Opponent: 34.27% (G:7.43% B:0.13%)

    2. XG Roller+  13/10(2) 8/5(2)              eq:+0.185 (-0.130)
      Player:   59.24% (G:15.17% B:0.56%)
      Opponent: 40.76% (G:5.30% B:0.11%)

    3. 3-ply       8/5(2) 7/4(2)                eq:+0.212 (-0.103)
      Player:   60.59% (G:19.33% B:0.34%)
      Opponent: 39.41% (G:5.26% B:0.07%)

    4. 3-ply       8/2*(2)                      eq:+0.160 (-0.154)
      Player:   58.00% (G:13.56% B:0.26%)
      Opponent: 42.00% (G:5.30% B:0.08%)

    5. 3-ply       7/4(3) 6/3                   eq:+0.144 (-0.170)
      Player:   57.21% (G:12.85% B:0.24%)
      Opponent: 42.79% (G:5.42% B:0.08%)


eXtreme Gammon Version: 2.01, MET: Kazaross XG2

2012年1月8日日曜日

XGID=--aBBBCB-AA-bB---aacabbb--:1:-1:1:53:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O  O  O  O  O    | +---+
 | X                |   | O     O  O  O    | | 2 |
 |                  |   | O                | +---+
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   | X                |
 | O              X |   | X  X  X  X       |
 | O     X  X     X |   | X  X  X  X  O    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 101  O: 105 X-O: 0-0
Cube: 2, O own cube
X to play 53

    1. XG Roller+  10/7 9/4                     eq:+0.514
      Player:   76.79% (G:6.07% B:0.08%)
      Opponent: 23.21% (G:0.95% B:0.02%)

    2. XG Roller+  10/5 9/6                     eq:+0.502 (-0.012)
      Player:   75.84% (G:7.10% B:0.09%)
      Opponent: 24.16% (G:1.37% B:0.03%)

    3. XG Roller+  9/4 6/3                      eq:+0.469 (-0.045)
      Player:   74.68% (G:7.09% B:0.16%)
      Opponent: 25.32% (G:2.34% B:0.06%)

    4. XG Roller+  10/2*                        eq:+0.462 (-0.052)
      Player:   73.05% (G:17.68% B:0.58%)
      Opponent: 26.95% (G:9.12% B:0.17%)

    5. 3-ply       10/5 6/3                     eq:+0.464 (-0.050)
      Player:   74.79% (G:7.35% B:0.16%)
      Opponent: 25.21% (G:2.06% B:0.04%)


eXtreme Gammon Version: 2.01

XGID=---AAbD-D---bCaa-c-d---bB-:0:0:1:31:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O  O     O    |   | O           O  X |
 | X           O    |   | O           O  X |
 | X           O    |   | O                |
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |             X    |   | X                |
 |             X    |   | X                |
 | O           X    |   | X  O             |
 | O           X    |   | X  O  X  X       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 150  O: 139 X-O: 0-0
Cube: 1
X to play 31

    1. XG Roller+  24/21 4/3                    eq:-0.505
      Player:   39.24% (G:7.33% B:0.27%)
      Opponent: 60.76% (G:20.13% B:0.48%)

    2. XG Roller+  8/4                          eq:-0.543 (-0.038)
      Player:   37.26% (G:6.40% B:0.22%)
      Opponent: 62.74% (G:17.44% B:0.63%)

    3. 4-ply       8/7 6/3                      eq:-0.570 (-0.065)
      Player:   36.88% (G:6.95% B:0.28%)
      Opponent: 63.12% (G:19.70% B:1.01%)

    4. 3-ply       13/10 4/3                    eq:-0.644 (-0.139)
      Player:   35.20% (G:6.59% B:0.23%)
      Opponent: 64.80% (G:19.23% B:1.08%)

    5. 2-ply       6/3 4/3                      eq:-0.638 (-0.133)
      Player:   34.29% (G:5.61% B:0.17%)
      Opponent: 65.71% (G:17.55% B:0.82%)


eXtreme Gammon Version: 2.01

XGID=-Ba--BB-E-AAb-a-bb-dc-B---:0:0:1:42:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |    O     O  O    |   | O  O     X       |
 |          O  O    |   | O  O     X       |
 |                  |   | O  O             |
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |             X    |   |                  |
 |             X    |   |                  |
 |             X    |   |                  |
 | O           X    |   | X  X           X |
 | O  X  X     X    |   | X  X        O  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 129  O: 133 X-O: 0-0
Cube: 1
X to play 42

    1. XG Roller+  8/2*                         eq:-0.403
      Player:   37.47% (G:12.84% B:0.24%)
      Opponent: 62.53% (G:12.56% B:0.58%)

    2. XG Roller+  10/6 8/6                     eq:-0.487 (-0.084)
      Player:   35.11% (G:8.60% B:0.15%)
      Opponent: 64.89% (G:8.91% B:0.28%)

    3. 3-ply       8/6 8/4                      eq:-0.484 (-0.081)
      Player:   35.31% (G:10.19% B:0.22%)
      Opponent: 64.69% (G:12.03% B:0.49%)

    4. 3-ply       11/5                         eq:-0.512 (-0.109)
      Player:   34.51% (G:7.63% B:0.14%)
      Opponent: 65.49% (G:9.47% B:0.31%)

    5. 3-ply       11/9 10/6                    eq:-0.516 (-0.113)
      Player:   34.34% (G:7.26% B:0.13%)
      Opponent: 65.66% (G:9.11% B:0.29%)


eXtreme Gammon Version: 2.01

XGID=-A-BCBBB--------bd-e-BcaA-:0:0:1:44:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |          O  O    |   | O     X  O  O  X |
 |          O  O    |   | O     X  O       |
 |             O    |   | O        O       |
 |             O    |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |       X          |
 |                X |   | X  X  X  X       |
 |                X |   | X  X  X  X     X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 121  O: 91 X-O: 0-0
Cube: 1
X to play 44

    1. XG Roller+  24/20 7/3 6/2(2)             eq:-0.844
      Player:   25.58% (G:0.90% B:0.00%)
      Opponent: 74.42% (G:3.30% B:0.05%)

    2. XG Roller+  7/3(2) 6/2(2)                eq:-0.868 (-0.024)
      Player:   25.87% (G:1.33% B:0.02%)
      Opponent: 74.13% (G:5.82% B:0.12%)

    3. XG Roller+  24/20 6/2(2) 5/1             eq:-0.897 (-0.053)
      Player:   24.73% (G:0.81% B:0.01%)
      Opponent: 75.27% (G:3.82% B:0.05%)

    4. XG Roller+  24/20 7/3(2) 5/1             eq:-0.920 (-0.076)
      Player:   24.13% (G:0.81% B:0.01%)
      Opponent: 75.87% (G:3.65% B:0.06%)

    5. XG Roller+  24/20 7/3(2) 6/2             eq:-0.922 (-0.078)
      Player:   24.67% (G:1.22% B:0.01%)
      Opponent: 75.33% (G:5.32% B:0.18%)


eXtreme Gammon Version: 2.01

XGID=-a-B--DaC---bDaa-d-e----B-:0:0:1:51:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O  O     O    |   | O              X |
 | X           O    |   | O              X |
 | X           O    |   | O                |
 | X           O    |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 |             X    |   | X                |
 | O           X    |   | X        X       |
 | O           X  O |   | X        X     O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 154  O: 151 X-O: 0-0
Cube: 1
X to play 51

    1. XG Roller+  8/7* 6/1*                    eq:+0.351
      Player:   56.15% (G:24.36% B:1.60%)
      Opponent: 43.85% (G:12.62% B:0.78%)

    2. XG Roller+  13/7*                        eq:+0.284 (-0.067)
      Player:   55.39% (G:20.83% B:1.36%)
      Opponent: 44.61% (G:11.89% B:0.63%)

    3. 2-ply       24/23 6/1*                   eq:+0.076 (-0.274)
      Player:   50.28% (G:18.03% B:1.02%)
      Opponent: 49.72% (G:12.97% B:0.68%)

    4. 2-ply       8/7* 7/2                     eq:+0.060 (-0.291)
      Player:   50.49% (G:17.47% B:1.19%)
      Opponent: 49.51% (G:13.96% B:0.92%)

    5. 1-ply       8/3 8/7*                     eq:-0.029 (-0.380)
      Player:   48.27% (G:17.01% B:1.15%)
      Opponent: 51.73% (G:14.72% B:1.12%)


eXtreme Gammon Version: 2.01

XGID=-----aE-D---cD---dbe----AA:0:0:1:44:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O              X |
 | X           O  O |   | O                |
 | X           O    |   | O                |
 | X           O    |   | O                |
 |                  | X | O                |
 |                  |BAR|                  |
 |                  |   | X                |
 |             X    |   | X                |
 | O           X    |   | X                |
 | O           X    |   | X                |
 | O           X    |   | X  O             |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 163  O: 135 X-O: 0-0
Cube: 1
X to play 44

    1. XG Roller+  Bar/21 24/20 13/5*           eq:-0.491
      Player:   37.29% (G:7.15% B:0.21%)
      Opponent: 62.71% (G:14.97% B:0.58%)

    2. XG Roller+  Bar/21 13/9(2) 8/4           eq:-0.588 (-0.098)
      Player:   34.22% (G:6.51% B:0.20%)
      Opponent: 65.78% (G:13.55% B:0.58%)

    3. 4-ply       Bar/21 13/9 13/5*            eq:-0.518 (-0.027)
      Player:   37.19% (G:8.57% B:0.25%)
      Opponent: 62.81% (G:18.15% B:1.03%)

    4. 4-ply       Bar/21 24/20 8/4(2)          eq:-0.549 (-0.058)
      Player:   35.28% (G:6.12% B:0.17%)
      Opponent: 64.72% (G:14.12% B:0.44%)

    5. 3-ply       Bar/21 13/5* 5/1             eq:-0.552 (-0.061)
      Player:   35.74% (G:7.38% B:0.20%)
      Opponent: 64.26% (G:16.45% B:0.79%)


eXtreme Gammon Version: 2.01

XGID=---b--E-C-AAdCa--c-e----B-:0:0:1:44:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O        O    |   | O              X |
 | X           O    |   | O              X |
 | X           O    |   | O                |
 |                  |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  |   | X                |
 | O                |   | X                |
 | O           X    |   | X                |
 | O           X    |   | X        O       |
 | O  X  X     X    |   | X        O       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 162  O: 161 X-O: 0-0
Cube: 1
X to play 44

    1. XG Roller+  24/16(2)                     eq:+0.337
      Player:   60.26% (G:8.68% B:0.31%)
      Opponent: 39.74% (G:6.87% B:0.23%)

    2. XG Roller+  24/20(2) 13/9(2)             eq:+0.303 (-0.034)
      Player:   57.77% (G:13.09% B:0.53%)
      Opponent: 42.23% (G:7.81% B:0.29%)

    3. 4-ply       24/20(2) 6/2(2)              eq:+0.248 (-0.089)
      Player:   56.29% (G:12.90% B:0.40%)
      Opponent: 43.71% (G:7.18% B:0.24%)

    4. 3-ply       24/20(2) 10/2                eq:+0.166 (-0.170)
      Player:   54.49% (G:10.76% B:0.27%)
      Opponent: 45.51% (G:7.13% B:0.25%)

    5. 3-ply       24/20(2) 13/5                eq:+0.150 (-0.187)
      Player:   53.85% (G:12.26% B:0.38%)
      Opponent: 46.15% (G:8.40% B:0.30%)


eXtreme Gammon Version: 2.01

XGID=-----BD-B---eD----Bcbc-b-A:0:0:-1:00:0:0:3:0:10

X:vesosto   O:zoophagous
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O    |   | O  O             |
 | X           O    |   | O  O             |
 | X                |   | O                |
 | X                |   | O                |
 | X                |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 | O                |   |                  |
 | O                |   | X     X          |
 | O              O |   | X  X  X     X    |
 | O              O |   | X  X  X     X    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 109  O: 163 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in 4-ply
Player Winning Chances:   74.81% (G:44.63% B:0.46%)
Opponent Winning Chances: 25.19% (G:3.66% B:0.07%)

Cubeless Equities: No Double=+0.910, Double=+1.788

Cubeful Equities:
       No double:     +0.966 (-0.034)
       Double/Take:   +1.614 (+0.614)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-a-B--E-D-A-cC---aacbbb---:0:0:1:22:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O  O  O  O       |
 | X                |   | O  O  O  O       |
 | X                |   | O                |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   | X                |
 |             X    |   | X                |
 | O           X    |   | X                |
 | O           X    |   | X        X       |
 | O     X     X    |   | X        X     O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 117  O: 120 X-O: 0-0
Cube: 1
X to play 22

    1. XG Roller+  6/4(2) 3/1*(2)               eq:+0.603
      Player:   66.71% (G:5.75% B:0.04%)
      Opponent: 33.29% (G:2.92% B:0.04%)

    2. XG Roller+  10/4 6/4                     eq:+0.475 (-0.128)
      Player:   64.43% (G:4.30% B:0.06%)
      Opponent: 35.57% (G:4.22% B:0.08%)

    3. 3-ply       8/4 6/4(2)                   eq:+0.441 (-0.162)
      Player:   63.68% (G:4.71% B:0.07%)
      Opponent: 36.32% (G:4.21% B:0.05%)

    4. 3-ply       13/11 8/4 6/4                eq:+0.433 (-0.170)
      Player:   62.86% (G:5.55% B:0.11%)
      Opponent: 37.14% (G:6.21% B:0.13%)

    5. 3-ply       13/11 10/8 6/4(2)            eq:+0.387 (-0.216)
      Player:   63.07% (G:3.74% B:0.05%)
      Opponent: 36.93% (G:4.01% B:0.05%)


eXtreme Gammon Version: 2.01

XGID=----aaD-C---dE--Bb-c--b-bA:0:0:1:64:0:0:3:0:10

X:zoophagous   O:vesosto
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X        X  O    |   | O        O     O |
 | X        X  O    |   | O        O     O |
 | X                |   | O                |
 | X                |   |                  |
 | X                | X |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 | O                |   | X                |
 | O           X    |   | X                |
 | O           X    |   | X                |
 | O           X    |   | X  O  O          |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 170  O: 135 X-O: 0-0
Cube: 1
X to play 64

    1. XG Roller+  Bar/21 13/7                  eq:-0.529
      Player:   39.54% (G:7.91% B:0.34%)
      Opponent: 60.46% (G:27.37% B:0.35%)

    2. XG Roller+  Bar/21 8/2                   eq:-0.738 (-0.209)
      Player:   35.28% (G:6.92% B:0.27%)
      Opponent: 64.72% (G:26.47% B:0.33%)

    3. 3-ply       Bar/15                       eq:-0.638 (-0.109)
      Player:   36.79% (G:5.96% B:0.27%)
      Opponent: 63.21% (G:24.78% B:0.24%)

    4. 1-ply       Bar/21 16/10                 eq:-1.000 (-0.471)
      Player:   31.86% (G:5.99% B:0.33%)
      Opponent: 68.14% (G:38.56% B:1.51%)


eXtreme Gammon Version: 2.01

XGID=-BBaBBB-A---cBba-c-c-bA-A-:0:0:1:00:0:0:3:0:10

X:zoophagous   O:brencasa4
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O  O     O    |   | O     O  X     X |
 | X  O        O    |   | O     O          |
 |             O    |   | O                |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 | O                |   |                  |
 | O                |   | X  X  X     X  X |
 | O           X    |   | X  X  X  O  X  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 116  O: 143 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   65.98% (G:45.90% B:0.55%)
Opponent Winning Chances: 34.02% (G:7.18% B:0.43%)

Cubeless Equities: No Double=+0.708, Double=+1.403

Cubeful Equities:
       No double:     +0.601 (-0.399)
       Double/Take:   +1.151 (+0.151)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-BBaBBC------Bb-cc-d-b--AA:0:0:1:51:0:0:3:0:10

X:zoophagous   O:brencasa4
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O     O  O    |   | O     O        X |
 | X  O     O  O    |   | O     O          |
 |          O  O    |   | O                |
 |                  |   | O                |
 |                  | X |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   | X                |
 |                  |   | X  X  X     X  X |
 |                  |   | X  X  X  O  X  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 117  O: 127 X-O: 0-0
Cube: 1
X to play 51

    1. XG Roller+  Bar/20 4/3*                  eq:+0.074
      Player:   46.36% (G:20.36% B:0.12%)
      Opponent: 53.64% (G:15.56% B:1.26%)

    2. XG Roller+  Bar/20 6/5                   eq:-0.235 (-0.309)
      Player:   42.24% (G:15.89% B:0.22%)
      Opponent: 57.76% (G:13.03% B:0.67%)

    3. 2-ply       Bar/20 24/23                 eq:-0.210 (-0.284)
      Player:   42.31% (G:13.61% B:0.12%)
      Opponent: 57.69% (G:12.46% B:0.57%)

    4. 2-ply       Bar/20 13/12                 eq:-0.271 (-0.345)
      Player:   40.64% (G:14.91% B:0.17%)
      Opponent: 59.36% (G:14.90% B:1.09%)

    5. 2-ply       Bar/24 13/8                  eq:-0.391 (-0.465)
      Player:   37.05% (G:11.99% B:0.05%)
      Opponent: 62.95% (G:13.87% B:0.92%)


eXtreme Gammon Version: 2.01

2012年1月5日木曜日

XGID=---bB-DC-A--bB---c-eA-AcA-:0:0:1:66:0:0:0:1:10

X:zoophagous   O:stunna686
Score is X:0 O:0 1 pt.(s) match.
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O    |   | O  X     X  O  X |
 | X           O    |   | O           O    |
 |             O    |   | O           O    |
 |                  |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 |                X |   | X                |
 | O              X |   | X     X  O       |
 | O        X     X |   | X     X  O       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 154  O: 130 X-O: 0-0/1
Cube: 1
X to play 66

    1. XG Roller+  22/10 20/8                   eq:-0.004
      Player:   49.81% (G:13.87% B:0.66%)
      Opponent: 50.19% (G:20.86% B:1.43%)

    2. XG Roller+  22/4 7/1                     eq:-0.114 (-0.110)
      Player:   44.31% (G:13.07% B:0.46%)
      Opponent: 55.69% (G:21.88% B:1.29%)

    3. 4-ply       24/18 22/10 20/14            eq:-0.013 (-0.010)
      Player:   49.33% (G:11.49% B:0.55%)
      Opponent: 50.67% (G:21.05% B:1.20%)

    4. 4-ply       22/4 20/14                   eq:-0.021 (-0.017)
      Player:   48.95% (G:12.56% B:0.56%)
      Opponent: 51.05% (G:18.23% B:0.75%)

    5. 4-ply       24/18 22/4                   eq:-0.043 (-0.039)
      Player:   47.84% (G:11.86% B:0.51%)
      Opponent: 52.16% (G:18.24% B:0.68%)


eXtreme Gammon Version: 2.01, MET: Kazaross XG2

2012年1月4日水曜日

XGID=---BaBEbB---aCa-ab-c-bb--A:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  X |   | O  O  X  O       |
 |             O  X |   | O  O     O       |
 |                  |   | O                |
 |                  |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 | O                |   | X                |
 | O           X    |   | X     X  X       |
 | O  X     X  X    |   | X     X  X       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 138  O: 126 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   61.09% (G:16.69% B:0.37%)
Opponent Winning Chances: 38.91% (G:10.68% B:0.42%)

Cubeless Equities: No Double=+0.281, Double=+0.569

Cubeful Equities:
       No double:     +0.430
       Double/Take:   +0.287 (-0.143)
       Double/Pass:   +1.000 (+0.570)

Best Cube action: No double / Take
Percentage of wrong pass needed to make the double decision right: 16.7%

eXtreme Gammon Version: 2.01

XGID=----aBD-C-BabB---abcbAbAa-:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  X  O     O    |   | O  O  X          |
 | X     O     O    |   | O  O             |
 |             O    |   | O                |
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   | X                |
 | O              X |   | X  X     X       |
 | O           X  X |   | X  X  O  X  O  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 118  O: 148 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   62.32% (G:32.33% B:0.80%)
Opponent Winning Chances: 37.68% (G:9.94% B:0.61%)

Cubeless Equities: No Double=+0.472, Double=+0.962

Cubeful Equities:
       No double:     +0.519 (-0.178)
       Double/Take:   +0.698
       Double/Pass:   +1.000 (+0.302)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=a-BABBBBBA------bbbbbbAb--:1:-1:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |          O  O  O |   | O  O  O  O  O    |
 |             O  O |   | O  O  O     O    |
 |                  |   |                  |
 |                  |   |                  |
 |                  | X |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  | +---+
 |          X  X  X |   | X  X  X     X    | | 2 |
 |          X  X  X |   | X  X  X  O  X    | +---+
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 107  O: 98 X-O: 0-0
Cube: 2, X own cube
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   61.02% (G:21.09% B:1.01%)
Opponent Winning Chances: 38.98% (G:11.83% B:0.48%)

Cubeless Equities: No Double=+0.318, Double=+0.624

Cubeful Equities:
       No redouble:     +0.499
       Redouble/Take:   +0.356 (-0.143)
       Redouble/Pass:   +1.000 (+0.501)

Best Cube action: No redouble / Take
Percentage of wrong pass needed to make the double decision right: 18.1%

eXtreme Gammon Version: 2.01

XGID=----BDC------------e-ab---:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |                  |   | O  O  O          |
 |                  |   | O  O  O          |
 |                  |   | O  O             |
 |                  |   |    O             |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   | X                |
 |                  |   | X                |
 |                  |   | X                |
 |                  |   | X        X       |
 |                  |   | X     X  X       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 40  O: 46 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   76.93% (G:0.00% B:0.00%)
Opponent Winning Chances: 23.07% (G:0.00% B:0.00%)

Cubeless Equities: No Double=+0.539, Double=+1.071

Cubeful Equities:
       No double:     +0.806 (-0.156)
       Double/Take:   +0.962
       Double/Pass:   +1.000 (+0.038)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=-a-BB-DBB---dA---bBdac----:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  X |   | O  O  O          |
 |             O  X |   | O     O          |
 |                  |   | O     O          |
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 | O                |   | X                |
 | O                |   | X                |
 | O           X  X |   | X     X  X       |
 | O           X  X |   | X     X  X     O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 117  O: 133 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   72.32% (G:20.62% B:0.29%)
Opponent Winning Chances: 27.68% (G:4.50% B:0.14%)

Cubeless Equities: No Double=+0.609, Double=+1.266

Cubeful Equities:
       No double:     +0.845 (-0.155)
       Double/Take:   +1.065 (+0.065)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-a-a--E-C--aeD---A-b-ab-bB:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  X        O    |   | O        X     X |
 | X           O    |   | O                |
 | X           O    |   | O                |
 | X                |   | O                |
 | X                |   | O                |
 |                  |BAR|                  |
 |                  | O |                  |
 | O                | O |                  |
 | O                |   |                  |
 | O                |   | X        X     X |
 | O           O    |   | X     X  X     X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 149  O: 173 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   67.43% (G:39.96% B:1.50%)
Opponent Winning Chances: 32.57% (G:7.13% B:0.32%)

Cubeless Equities: No Double=+0.689, Double=+1.407

Cubeful Equities:
       No double:     +0.771 (-0.229)
       Double/Take:   +1.176 (+0.176)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-EB-----------------a-abc-:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |                  |   |    O     O  O  O |
 |                  |   |             O  O |
 |                  |   |                O |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                X |
 |                  |   |                X |
 |                  |   |                X |
 |                  |   |             X  X |
 |                  |   |             X  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 9  O: 15 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   77.48% (G:0.00% B:0.00%)
Opponent Winning Chances: 22.52% (G:0.00% B:0.00%)

Cubeless Equities: No Double=+0.550, Double=+1.099

Cubeful Equities:
       No double:     +0.818 (-0.182)
       Double/Take:   +1.042 (+0.042)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=a--B-AEbB---AC---ccdb---A-:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | O           O  X |   | O  O     O       |
 |             O  X |   | O        O       |
 |                  |   | O                |
 |                  |   | O                |
 |                  | X | O                |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 | O           X  X |   | X                |
 | O           X  X |   | X  X             |
 | O           X  X |   | X  X           O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 140  O: 132 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   65.67% (G:19.32% B:0.86%)
Opponent Winning Chances: 34.33% (G:7.61% B:0.23%)

Cubeless Equities: No Double=+0.437, Double=+0.881

Cubeful Equities:
       No double:     +0.622 (-0.015)
       Double/Take:   +0.636
       Double/Pass:   +1.000 (+0.364)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=-AaaBBBBB---bB---bacAbb-aA:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O  X  O  O     O |
 | X           O    |   | O     O  O       |
 |                  |   | O                |
 |                  |   |                  |
 |                  | X |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 | O           X  X |   | X  X  X          |
 | O           X  X |   | X  X  X  O  O  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 132  O: 127 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   67.00% (G:22.91% B:1.37%)
Opponent Winning Chances: 33.00% (G:12.05% B:0.37%)

Cubeless Equities: No Double=+0.459, Double=+0.949

Cubeful Equities:
       No double:     +0.609 (-0.099)
       Double/Take:   +0.709
       Double/Pass:   +1.000 (+0.291)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=-DCC------bA-----------bb-:1:-1:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |    O  X          |   |          O  O  O |
 |       X          |   |          O  O  O |
 |                  |   |          O  O  O |
 |                  |   |                O |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  | +---+
 |                  |   |             X  X | | 2 |
 |                  |   |             X  X | +---+
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 36  O: 30 X-O: 0-0
Cube: 2, X own cube
X on roll, cube action

Analyzed in XG Roller++
Player Winning Chances:   78.96% (G:0.00% B:0.00%)
Opponent Winning Chances: 21.04% (G:0.00% B:0.00%)

Cubeless Equities: No Double=+0.579, Double=+1.168

Cubeful Equities:
       No redouble:     +0.809 (-0.191)
       Redouble/Take:   +1.038 (+0.038)
       Redouble/Pass:   +1.000

Best Cube action: Redouble / Pass

eXtreme Gammon Version: 2.01

XGID=aaBBCCC-A----A---------bb-:1:1:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X                |   |             O  O |
 |                  |   |             O  O |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 |                  |   | X  X  X          | +---+
 |                  |   | X  X  X  X  X    | | 2 |
 |             X    |   | X  X  X  X  X  O | +---+
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 76  O: 55 X-O: 0-0
Cube: 2, X own cube
X on roll, cube action

Analyzed in Rollout
No redouble
  Player Winning Chances:   84.63% (G:0.00% B:0.00%)
  Opponent Winning Chances: 15.37% (G:0.22% B:0.02%)
Redouble/Take
  Player Winning Chances:   85.04% (G:0.00% B:0.00%)
  Opponent Winning Chances: 14.96% (G:0.22% B:0.02%)

Cubeless Equities: No Double=+0.690, Double=+1.397

Cubeful Equities:
       No redouble:     +0.987 (-0.013)
       Redouble/Take:   +1.310 (+0.310)
       Redouble/Pass:   +1.000

Best Cube action: Redouble / Pass

Rollout:
  1296 Games rolled with Variance Reduction.
  Moves: 3-ply, cube decisions: XG Roller
  Confidence No Double: ± 0.002 (+0.985..+0.989)
  Confidence Double:    ± 0.010 (+1.300..+1.319)

  Double Decision confidence: 100.0%
  Take Decision confidence: 100.0%

  Duration: 20.0 seconds

eXtreme Gammon Version: 2.01

XGID=--A-BCD----ab----bbbbCbbB-:1:1:-1:23:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  X             |   | O  O  O     O    | +---+
 | X                |   | O  O  O          | | 2 |
 |                  |   | O  O             | +---+
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |       O          |
 |             X  X |   | X  X  O  X  X  O |
 |             X  X |   | X  X  O  X  X  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 102  O: 160 X-O: 0-0
Cube: 2, O own cube
X to play 23

    1. XG Roller+  14/11 13/11                  eq:+0.587
      Player:   72.03% (G:25.47% B:2.37%)
      Opponent: 27.97% (G:2.10% B:0.05%)

    2. XG Roller+  8/6 8/5                      eq:+0.546 (-0.041)
      Player:   69.83% (G:26.58% B:2.84%)
      Opponent: 30.17% (G:2.61% B:0.07%)

    3. XG Roller+  14/9                         eq:+0.531 (-0.056)
      Player:   70.45% (G:25.03% B:2.41%)
      Opponent: 29.55% (G:3.55% B:0.10%)

    4. XG Roller+  13/8                         eq:+0.527 (-0.060)
      Player:   69.48% (G:26.26% B:2.69%)
      Opponent: 30.52% (G:3.00% B:0.08%)

    5. 3-ply       14/11 8/6                    eq:+0.455 (-0.132)
      Player:   67.85% (G:25.36% B:2.63%)
      Opponent: 32.15% (G:4.95% B:0.16%)


eXtreme Gammon Version: 2.01

XGID=-a---BD-D--abAa---bbbBbbB-:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  X        O    |   | O  O           X |
 | X           O    |   | O  O             |
 |             O    |   | O                |
 |             O    |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 |                X |   | X  X  O  X  X  O |
 | O  X           X |   | X  X  O  X  X  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 121  O: 169 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   64.53% (G:28.00% B:3.26%)
Opponent Winning Chances: 35.47% (G:4.37% B:0.18%)

Cubeless Equities: No Double=+0.558, Double=+1.109

Cubeful Equities:
       No double:     +0.821
       Double/Take:   +0.821 (-0.001)
       Double/Pass:   +1.000 (+0.179)

Best Cube action: No double / Take
Percentage of wrong pass needed to make the double decision right: 0.3%

eXtreme Gammon Version: 2.01

XGID=ab-BB-B-B-AadC---d-cAA--A-:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O    |   | O  X  X        X |
 | X           O    |   | O                |
 | X           O    |   | O                |
 |             O    |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 | O                |   |                  |
 | O                |   |                  |
 | O           X    |   | X     X  X     O |
 | O  O  X     X    |   | X     X  X     O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 156  O: 189 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   69.70% (G:35.80% B:4.94%)
Opponent Winning Chances: 30.30% (G:4.56% B:0.17%)

Cubeless Equities: No Double=+0.754, Double=+1.523

Cubeful Equities:
       No double:     +0.959 (-0.041)
       Double/Take:   +1.300 (+0.300)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=---BbbECD----A---b-ccab---:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O    |   | O  O  O  O       |
 |             O    |   | O  O     O       |
 |                  |   | O  O             |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   | X                |
 |             X    |   | X                |
 |             X  X |   | X                |
 |             X  X |   | X  O  O  X       |
 |             X  X |   | X  O  O  X       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 102  O: 141 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   75.82% (G:7.59% B:0.07%)
Opponent Winning Chances: 24.18% (G:2.29% B:0.08%)

Cubeless Equities: No Double=+0.569, Double=+1.116

Cubeful Equities:
       No double:     +0.920 (-0.021)
       Double/Take:   +0.941
       Double/Pass:   +1.000 (+0.059)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=a---CBC-C---aC-----bcbbAd-:1:1:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X                |   | O  O  O  O  X  O |
 | X                |   | O  O  O  O     O |
 | X                |   |    O           O |
 |                  |   |                O |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 |             X    |   | X     X          | +---+
 |             X    |   | X  X  X          | | 2 |
 | O           X    |   | X  X  X          | +---+
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 126  O: 83 X-O: 0-0
Cube: 2, X own cube
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   71.71% (G:14.60% B:0.58%)
Opponent Winning Chances: 28.29% (G:7.24% B:0.09%)

Cubeless Equities: No Double=+0.513, Double=+1.033

Cubeful Equities:
       No redouble:     +0.745 (-0.092)
       Redouble/Take:   +0.838
       Redouble/Pass:   +1.000 (+0.162)

Best Cube action: Redouble / Take

eXtreme Gammon Version: 2.01

XGID=aaB--BBBC--AbBb--b-eb-A---:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O        O    |   | O  O     X       |
 | X  O        O    |   | O  O             |
 |                  |   | O                |
 |                  |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 |             X    |   |                  |
 | O           X  X |   | X  X        X    |
 | O  X        X  X |   | X  X        X  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 123  O: 153 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   74.19% (G:27.87% B:1.04%)
Opponent Winning Chances: 25.81% (G:4.30% B:0.15%)

Cubeless Equities: No Double=+0.729, Double=+1.519

Cubeful Equities:
       No double:     +0.919 (-0.081)
       Double/Take:   +1.338 (+0.338)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-a--A-E-D--acB---bbd-Ab-B-:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  X        O    |   | O     O        X |
 | X           O    |   | O                |
 | X           O    |   | O                |
 |             O    |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 |                  |   | X                |
 | O           X  X |   | X        X     O |
 | O           X  X |   | X     O  X     O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 137  O: 161 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   70.15% (G:23.73% B:2.28%)
Opponent Winning Chances: 29.85% (G:5.57% B:0.20%)

Cubeless Equities: No Double=+0.605, Double=+1.243

Cubeful Equities:
       No double:     +0.849 (-0.151)
       Double/Take:   +1.024 (+0.024)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=a-BBBBC-B-----a----dbcbBb-:1:1:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |    O             |   | O  O  O  O  X  O |
 |                  |   | O  O  O  O  X  O |
 |                  |   | O     O          |
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 |                  |   | X                | +---+
 |             X    |   | X  X  X  X  X    | | 2 |
 |             X    |   | X  X  X  X  X    | +---+
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 108  O: 90 X-O: 0-0
Cube: 2, X own cube
X on roll, cube action

Analyzed in XG Roller++
Player Winning Chances:   75.17% (G:19.45% B:0.56%)
Opponent Winning Chances: 24.83% (G:5.36% B:0.16%)

Cubeless Equities: No Double=+0.648, Double=+1.319

Cubeful Equities:
       No redouble:     +0.863 (-0.137)
       Redouble/Take:   +1.158 (+0.158)
       Redouble/Pass:   +1.000

Best Cube action: Redouble / Pass

eXtreme Gammon Version: 2.01

XGID=-a----ECB---bC---caeb---aB:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O              X |
 | X           O  O |   | O                |
 |                O |   | O                |
 |                  |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  | O | X                |
 |                  | O | X                |
 | O           X    |   | X                |
 | O           X    |   | X  X             |
 | O           X  X |   | X  X           X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 122  O: 156 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   75.85% (G:45.05% B:0.66%)
Opponent Winning Chances: 24.15% (G:4.19% B:0.16%)

Cubeless Equities: No Double=+0.931, Double=+1.892

Cubeful Equities:
       No double:     +0.917 (-0.083)
       Double/Take:   +1.717 (+0.717)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-EBBBB----------b--bdBdc--:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |                  |   |    O  O  O  O  O |
 |                  |   |    O  O  O  O  O |
 |                  |   |                O |
 |                  |   |                O |
 |                  |   |                O |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |    X     X       |
 |                  |   |    X     X  X    |
 |          X       |   | X  X  O  X  X    |
 |          X       |   | X  X  O  X  X    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 68  O: 75 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   76.23% (G:1.56% B:0.01%)
Opponent Winning Chances: 23.77% (G:0.79% B:0.01%)

Cubeless Equities: No Double=+0.532, Double=+1.053

Cubeful Equities:
       No double:     +0.755 (-0.144)
       Double/Take:   +0.898
       Double/Pass:   +1.000 (+0.102)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=-aaBBCC-B-A-b-A--b-bcb-bA-:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |    X        O    |   | O  O  O     O  X |
 |             O    |   | O  O  O     O    |
 |                  |   |    O             |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   | X  X             |
 | O           X    |   | X  X  X  X       |
 | O     X     X    |   | X  X  X  X  O  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 111  O: 128 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller++
Player Winning Chances:   67.98% (G:34.18% B:1.21%)
Opponent Winning Chances: 32.02% (G:8.90% B:0.66%)

Cubeless Equities: No Double=+0.618, Double=+1.269

Cubeful Equities:
       No double:     +0.646 (-0.354)
       Double/Take:   +1.045 (+0.045)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-CBCC-B---B-aa--a---abcbd-:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | O        O       |   |    O  O  O  O  O |
 |                  |   |       O  O  O  O |
 |                  |   |          O     O |
 |                  |   |                O |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |       X  X     X |
 |       X          |   | X     X  X  X  X |
 | O     X          |   | X     X  X  X  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 60  O: 64 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   78.35% (G:0.00% B:0.00%)
Opponent Winning Chances: 21.65% (G:0.00% B:0.00%)

Cubeless Equities: No Double=+0.567, Double=+1.134

Cubeful Equities:
       No double:     +0.822 (-0.172)
       Double/Take:   +0.994
       Double/Pass:   +1.000 (+0.006)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=-B-bCCC-B-a----a--ccb-cA-A:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |       X     O    |   | O  O  O  X     O |
 |             O    |   | O  O  O  X     O |
 |                  |   | O  O  O          |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 |                X |   | X        X       |
 |                X |   | X  X     X       |
 |       X        X |   | X  X     X  O    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 127  O: 111 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   68.49% (G:21.35% B:0.68%)
Opponent Winning Chances: 31.51% (G:8.70% B:0.26%)

Cubeless Equities: No Double=+0.500, Double=+0.998

Cubeful Equities:
       No double:     +0.702 (-0.080)
       Double/Take:   +0.782
       Double/Pass:   +1.000 (+0.218)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=--CBbDDb---------c-cab-bAA:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |                X |   | O  O  X  O  O    |
 |                X |   | O  O  X  O  O    |
 |                  |   | O  O        O    |
 |                  |   | O  O             |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 |             X    |   | X                |
 |             X    |   | X     X     X    |
 |             X    |   | X  X  X     X  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 137  O: 105 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   66.47% (G:16.22% B:0.55%)
Opponent Winning Chances: 33.53% (G:10.77% B:0.25%)

Cubeless Equities: No Double=+0.387, Double=+0.768

Cubeful Equities:
       No double:     +0.609
       Double/Take:   +0.546 (-0.063)
       Double/Pass:   +1.000 (+0.391)

Best Cube action: No double / Take
Percentage of wrong pass needed to make the double decision right: 12.2%

eXtreme Gammon Version: 2.01

XGID=--CBbDD----------cbcab-bAA:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |                  |   | O  O  X  O  O    |
 |                  |   | O  O  X  O  O    |
 |                  |   | O  O        O    |
 |                  |   | O  O             |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 |             X    |   | X                |
 |             X  X |   | X     X     X    |
 |             X  X |   | X  X  X     X  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 115  O: 105 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   81.36% (G:20.93% B:0.67%)
Opponent Winning Chances: 18.64% (G:3.48% B:0.08%)

Cubeless Equities: No Double=+0.808, Double=+1.639

Cubeful Equities:
       No double:     +0.926 (-0.074)
       Double/Take:   +1.514 (+0.514)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-aB-bBD-BB-B--b--c-dAc----:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |    O        O    |   | O  X  O          |
 |    O        O    |   | O     O          |
 |             O    |   | O     O          |
 |                  |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 |                  |   | X                |
 |    X     X  X    |   | X  X  O     X    |
 |    X     X  X    |   | X  X  O     X  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 114  O: 148 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   72.65% (G:14.16% B:0.35%)
Opponent Winning Chances: 27.35% (G:3.94% B:0.14%)

Cubeless Equities: No Double=+0.557, Double=+1.086

Cubeful Equities:
       No double:     +0.820 (-0.065)
       Double/Take:   +0.885
       Double/Pass:   +1.000 (+0.115)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=--d--BD-C---cCa-a--d-A-bAA:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O     O       |   | O     X     O  X |
 | X                |   | O           O    |
 | X                |   | O                |
 |                  |   | O                |
 |                  | X |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X           O    |
 | O           X    |   | X           O    |
 | O           X    |   | X  X        O    |
 | O           X    |   | X  X        O    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 167  O: 179 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller++
Player Winning Chances:   68.69% (G:29.93% B:2.32%)
Opponent Winning Chances: 31.31% (G:7.70% B:0.33%)

Cubeless Equities: No Double=+0.616, Double=+1.258

Cubeful Equities:
       No double:     +0.881 (-0.119)
       Double/Take:   +1.031 (+0.031)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=aB-BB-B-----fF---b-db---A-:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O    |   | O  O           X |
 | X           O    |   | O  O             |
 | X                |   | O                |
 | X                |   | O                |
 | 6                |   |                  |
 |                  |BAR|                  |
 | 6                | O |                  |
 | O                |   |                  |
 | O                |   |                  |
 | O                |   | X     X  X     X |
 | O                |   | X     X  X     X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 130  O: 153 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   66.31% (G:30.01% B:0.19%)
Opponent Winning Chances: 33.69% (G:5.83% B:0.23%)

Cubeless Equities: No Double=+0.567, Double=+1.128

Cubeful Equities:
       No double:     +0.732 (-0.148)
       Double/Take:   +0.880
       Double/Pass:   +1.000 (+0.120)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=---BBBB-BA---AAc--dbBc-c--:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |          O  O    |   | O  O  O  O       |
 |             O    |   | O  O  O  O       |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                X |   |                  |
 |       X        X |   |       X     X    |
 |       X        X |   | X  O  X     X    |
 | O  O  X        X |   | X  O  X     X    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 88  O: 128 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   82.86% (G:2.61% B:0.01%)
Opponent Winning Chances: 17.14% (G:1.11% B:0.01%)

Cubeless Equities: No Double=+0.672, Double=+1.335

Cubeful Equities:
       No double:     +0.987 (-0.013)
       Double/Take:   +1.237 (+0.237)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=---BBBB-BA---AAc--dbBc-c--:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |          O  O    |   | O  O  O  O       |
 |             O    |   | O  O  O  O       |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                X |   |                  |
 |       X        X |   |       X     X    |
 |       X        X |   | X  O  X     X    |
 | O  O  X        X |   | X  O  X     X    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 88  O: 128 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   82.86% (G:2.61% B:0.01%)
Opponent Winning Chances: 17.14% (G:1.11% B:0.01%)

Cubeless Equities: No Double=+0.672, Double=+1.335

Cubeful Equities:
       No double:     +0.987 (-0.013)
       Double/Take:   +1.237 (+0.237)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=---BBBB-BA---AAc---fBc-c--:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |          O  O    |   | O  O  O  O       |
 |             O    |   | O  O  O  O       |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   | 6                |
 |                  |   | X                |
 |       X          |   | X     X     X    |
 |       X          |   | X  O  X     X    |
 | O  O  X          |   | X  O  X     X    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 84  O: 128 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   78.97% (G:4.51% B:0.02%)
Opponent Winning Chances: 21.03% (G:1.42% B:0.02%)

Cubeless Equities: No Double=+0.610, Double=+1.171

Cubeful Equities:
       No double:     +0.975 (-0.025)
       Double/Take:   +1.079 (+0.079)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-----bD-D--BdB----bbbcAAA-:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O        O    |   | O  X             |
 | X  O        O    |   | O  X             |
 | X           O    |   | O                |
 | X           O    |   | O                |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |       X          |
 | O              X |   | X  X  X          |
 | O              X |   | X  X  X  O  O  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 140  O: 173 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   70.36% (G:29.59% B:1.73%)
Opponent Winning Chances: 29.64% (G:4.82% B:0.16%)

Cubeless Equities: No Double=+0.670, Double=+1.346

Cubeful Equities:
       No double:     +0.892 (-0.108)
       Double/Take:   +1.131 (+0.131)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-a---DD-C---bBb--b-bbbbAA-:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O    |   | O  O           X |
 | X           O    |   | O  O             |
 |             O    |   | O  O             |
 |                  |   | O  O             |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 | O  X        X    |   | X  X  X  X       |
 | O  X        X    |   | X  X  X  X  O  O |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 124  O: 141 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   76.59% (G:25.57% B:0.88%)
Opponent Winning Chances: 23.41% (G:4.56% B:0.18%)

Cubeless Equities: No Double=+0.749, Double=+1.551

Cubeful Equities:
       No double:     +0.920 (-0.080)
       Double/Take:   +1.382 (+0.382)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-FEB--------bA--a-Abc-bcb-:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X                |   |          O  O  O |
 | X                |   |          O  O  O |
 |                  |   |             O  O |
 |                  |   |             O  O |
 |                  |   |             O  6 |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |    X        X    |
 |                  |   | X  X     X  X  X |
 | O        X     O |   | X  X     X  X  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 76  O: 53 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   78.81% (G:14.43% B:0.40%)
Opponent Winning Chances: 21.19% (G:0.37% B:0.00%)

Cubeless Equities: No Double=+0.721, Double=+1.449

Cubeful Equities:
       No double:     +0.681 (-0.319)
       Double/Take:   +1.300 (+0.300)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-FEB--------b---a-Bbc-bcb-:0:0:1:51:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |          O     X |   | O  O     O  O  O |
 |                X |   | O  O     O  O  O |
 |                  |   |    O        O    |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |             X  6 |
 |                  |   |             X  X |
 |                  |   |             X  X |
 | O                |   |          X  X  X |
 | O                |   |          X  X  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 58  O: 76 X-O: 0-0
Cube: 1
X to play 51

    1. 3-ply       18/17 18/13                  eq:-0.834
      Player:   31.06% (G:0.19% B:0.00%)
      Opponent: 68.94% (G:13.28% B:0.32%)

    2. 3-ply       18/13 2/1                    eq:-1.000 (-0.166)
      Player:   21.91% (G:0.19% B:0.00%)
      Opponent: 78.09% (G:15.60% B:0.37%)

    3. 3-ply       18/13 3/2                    eq:-1.000 (-0.166)
      Player:   18.57% (G:0.20% B:0.00%)
      Opponent: 81.43% (G:20.88% B:0.67%)


eXtreme Gammon Version: 2.01

XGID=aCEaD-aB----------abcbbbA-:1:-1:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |                O |   | X     O  X  O  O |
 |                O |   |       O     O  O |
 |                  |   |       O     O  O |
 |                  |   |       O     O    |
 |                  | X |             O    |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |    X             | +---+
 |                  |   | X  X  X  X  X    | | 2 |
 |                X |   | X  X  X  X  X  O | +---+
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 118  O: 67 X-O: 0-0
Cube: 2, X own cube
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   72.25% (G:11.65% B:0.36%)
Opponent Winning Chances: 27.75% (G:10.45% B:0.16%)

Cubeless Equities: No Double=+0.459, Double=+0.903

Cubeful Equities:
       No redouble:     +0.629 (-0.094)
       Redouble/Take:   +0.723
       Redouble/Pass:   +1.000 (+0.277)

Best Cube action: Redouble / Take

eXtreme Gammon Version: 2.01

XGID=---bCBBBBB--b-b--c-bBb-b--:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |    O        O    |   | O  X  O     O    |
 |    O        O    |   | O  X  O     O    |
 |             O    |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |       X          |
 | O        X  X  X |   | X  X  X  O       |
 | O        X  X  X |   | X  X  X  O       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 122  O: 140 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   70.07% (G:11.88% B:0.31%)
Opponent Winning Chances: 29.93% (G:4.80% B:0.16%)

Cubeless Equities: No Double=+0.474, Double=+0.955

Cubeful Equities:
       No double:     +0.725 (-0.021)
       Double/Take:   +0.746
       Double/Pass:   +1.000 (+0.254)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=bB--B-BAB---dD---bbe---AA-:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O           X  X |
 | X           O  O |   | O                |
 | X                |   | O                |
 | X                |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  | O |                  |
 | O                | O |                  |
 | O                |   |                  |
 | O           X    |   | X     X        X |
 | O           X  X |   | X     X        X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 144  O: 162 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   66.98% (G:37.56% B:0.52%)
Opponent Winning Chances: 33.02% (G:6.74% B:0.33%)

Cubeless Equities: No Double=+0.650, Double=+1.304

Cubeful Equities:
       No double:     +0.843 (-0.157)
       Double/Take:   +1.065 (+0.065)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=-BBbCcCC-B--b--a---cb-b---:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |       O          |   | O  O     O       |
 |                  |   | O  O     O       |
 |                  |   | O                |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                X |   | X  O  X          |
 | O        X     X |   | X  O  X  O  X  X |
 | O        X     X |   | X  O  X  O  X  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 75  O: 174 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   58.86% (G:37.77% B:0.36%)
Opponent Winning Chances: 41.14% (G:5.69% B:0.20%)

Cubeless Equities: No Double=+0.500, Double=+1.013

Cubeful Equities:
       No double:     +0.610 (-0.095)
       Double/Take:   +0.704
       Double/Pass:   +1.000 (+0.296)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=-BBbDcDC----b--a---cb-b---:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 |       O          |   | O  O     O       |
 |                  |   | O  O     O       |
 |                  |   | O                |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X     X          |
 |                X |   | X  O  X          |
 | O              X |   | X  O  X  O  X  X |
 | O              X |   | X  O  X  O  X  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 67  O: 174 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   71.49% (G:56.00% B:0.55%)
Opponent Winning Chances: 28.51% (G:2.66% B:0.13%)

Cubeless Equities: No Double=+0.967, Double=+1.948

Cubeful Equities:
       No double:     +1.001
       Double/Take:   +1.737 (+0.736)
       Double/Pass:   +1.000 (-0.001)

Best Cube action: Too good to double / Pass
Percentage of wrong take needed to make the double decision right: 0.1%

eXtreme Gammon Version: 2.01

XGID=-----BC-BB--dB-a-aBc-B-db-:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X     O     O  X |   | O     X     O  O |
 | X              X |   | O     X     O  O |
 |                  |   | O           O    |
 |                  |   |             O    |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 | O                |   |                  |
 | O                |   | X                |
 | O        X  X    |   | X  X             |
 | O        X  X    |   | X  X             |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 166  O: 98 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller++
Player Winning Chances:   68.74% (G:21.73% B:0.84%)
Opponent Winning Chances: 31.26% (G:9.95% B:0.11%)

Cubeless Equities: No Double=+0.500, Double=+1.022

Cubeful Equities:
       No double:     +0.759 (-0.043)
       Double/Take:   +0.802
       Double/Pass:   +1.000 (+0.198)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=-a-a--EBC---cC--aa-cb-bAaA:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O  O |   | O        X     X |
 | X           O  O |   | O                |
 | X           O    |   | O                |
 |                  |   | O                |
 |                  |   | O                |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 | O                |   | X                |
 | O                |   | X  X     X       |
 | O        X  X    |   | X  X     X  O  X |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 137  O: 155 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller++
Player Winning Chances:   64.72% (G:35.46% B:0.63%)
Opponent Winning Chances: 35.28% (G:7.98% B:0.42%)

Cubeless Equities: No Double=+0.571, Double=+1.173

Cubeful Equities:
       No double:     +0.698 (-0.219)
       Double/Take:   +0.917
       Double/Pass:   +1.000 (+0.083)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=--a-BBBBBB--babb-bAcA-b--A:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | O  O  O     O  X |   | O  X     O       |
 |    O  O     O    |   | O        O       |
 |                  |   | O                |
 |                  |   |                  |
 |                  | X |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |                  |   |                  |
 | O        X  X  X |   | X  X  X          |
 | O        X  X  X |   | X  X  X     O    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 141  O: 143 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller++
Player Winning Chances:   64.61% (G:23.37% B:1.21%)
Opponent Winning Chances: 35.39% (G:9.37% B:0.59%)

Cubeless Equities: No Double=+0.438, Double=+0.886

Cubeful Equities:
       No double:     +0.621 (-0.007)
       Double/Take:   +0.628
       Double/Pass:   +1.000 (+0.372)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=a---BBBBBA--cBbb-b-cB-b---:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O  O     O    |   | O  X     O       |
 | X  O  O     O    |   | O  X     O       |
 |                  |   | O                |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 | O                |   |                  |
 | O           X  X |   | X  X  X          |
 | O        X  X  X |   | X  X  X          |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 135  O: 146 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   70.22% (G:29.81% B:0.52%)
Opponent Winning Chances: 29.78% (G:4.23% B:0.14%)

Cubeless Equities: No Double=+0.664, Double=+1.257

Cubeful Equities:
       No double:     +0.942 (-0.058)
       Double/Take:   +1.035 (+0.035)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=a---BBBBBA--cBbb-b-cB-b---:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X  O  O     O    |   | O  X     O       |
 | X  O  O     O    |   | O  X     O       |
 |                  |   | O                |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 |                  |   |                  |
 | O                |   |                  |
 | O           X  X |   | X  X  X          |
 | O        X  X  X |   | X  X  X          |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 135  O: 146 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in Rollout
No double
  Player Winning Chances:   69.27% (G:29.86% B:0.65%)
  Opponent Winning Chances: 30.73% (G:4.78% B:0.18%)
Double/Take
  Player Winning Chances:   68.99% (G:31.05% B:0.87%)
  Opponent Winning Chances: 31.01% (G:5.53% B:0.28%)

Cubeless Equities: No Double=+0.641, Double=+1.282

Cubeful Equities:
       No double:     +0.926 (-0.074)
       Double/Take:   +1.021 (+0.021)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

Rollout:
  350 Games rolled with Variance Reduction.
  Moves: 3-ply, cube decisions: XG Roller
  Confidence No Double: ± 0.017 (+0.908..+0.943)
  Confidence Double:    ± 0.039 (+0.983..+1.060)

  Double Decision confidence: 100.0%
  Take Decision confidence: 86.1%

  Duration: 4 minutes 12 seconds

eXtreme Gammon Version: 2.01

XGID=-----CCbBB--aD-a-b-dc-b--A:0:0:-1:00:0:0:3:0:10

X:Player 2   O:Player 1
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X        O  O  X |   | O  O             |
 |          O  O  X |   | O  O             |
 |                  |   | O  O             |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  | O |                  |
 | O                |   | X                |
 | O                |   | X  X             |
 | O           X    |   | X  X     X       |
 | O     X     X    |   | X  X     X       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 120  O: 144 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   71.73% (G:34.17% B:0.28%)
Opponent Winning Chances: 28.27% (G:4.31% B:0.17%)

Cubeless Equities: No Double=+0.734, Double=+1.497

Cubeful Equities:
       No double:     +0.898 (-0.102)
       Double/Take:   +1.300 (+0.300)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01

XGID=--aaBBDBB---cA---a-cb-bbB-:0:0:1:00:0:0:3:0:10

X:Player 1   O:Player 2
Score is X:0 O:0. Unlimited Game, Jacoby Beaver
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X           O    |   | O  O     O  O  X |
 |                  |   | O  O     O  O  X |
 |                  |   | O                |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   | X                |
 | O                |   | X                |
 | O           X  X |   | X  X  X          |
 | O           X  X |   | X  X  X  O  O    |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 133  O: 130 X-O: 0-0
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   63.81% (G:29.18% B:1.62%)
Opponent Winning Chances: 36.19% (G:12.45% B:1.07%)

Cubeless Equities: No Double=+0.449, Double=+0.918

Cubeful Equities:
       No double:     +0.535 (-0.120)
       Double/Take:   +0.655
       Double/Pass:   +1.000 (+0.345)

Best Cube action: Double / Take

eXtreme Gammon Version: 2.01

XGID=-BBCBAB-----a---ccbccBA---:0:0:-1:00:0:2:0:5:10

X:Player 2   O:Player 1
Score is X:2 O:0 5 pt.(s) match.
 +13-14-15-16-17-18------19-20-21-22-23-24-+
 | X                |   | O  O  O  O  O  O |
 |                  |   | O     O  O  O  O |
 |                  |   |          O       |
 |                  |   |                  |
 |                  |   |                  |
 |                  |BAR|                  |
 |                  |   |                  |
 |                  |   |                  |
 |          X  X    |   | X  X             |
 |          X  X  X |   | X  X  O          |
 |          X  X  X |   | X  X  O  O       |
 +12-11-10--9--8--7-------6--5--4--3--2--1-+
Pip count  X: 111  O: 104 X-O: 2-0/5
Cube: 1
X on roll, cube action

Analyzed in XG Roller+
Player Winning Chances:   79.85% (G:12.27% B:0.41%)
Opponent Winning Chances: 20.15% (G:0.91% B:0.01%)

Cubeless Equities: No Double=+0.737, Double=+1.545

Cubeful Equities:
       No double:     +0.967 (-0.033)
       Double/Take:   +1.280 (+0.280)
       Double/Pass:   +1.000

Best Cube action: Double / Pass

eXtreme Gammon Version: 2.01, MET: Kazaross XG2

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my backgammon study

2012年3月27日火曜日

クイズコンテストのおいら的解説(part3)

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my backgammon study

2012年3月27日火曜日

クイズコンテストのおいら的解説(part3)

クイズコンテストのおいら的解説(part2)

クイズコンテストのおいら的解説(part1)

2012年2月5日日曜日

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2012年1月4日水曜日

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