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AtS in SEVEN rolls -- SOLUTIONS

Posted By: Nack Ballard
Date: Saturday, 2 January 2016, at 5:43 a.m.

In Response To: AtS in SEVEN rolls (Nack Ballard)

Stick's original position (at the indicated score of ¡V4¡V2) is here.

Mike used that position as a basis for a retro-problem (How did we get here?). Having noticed that opening 21$ isn't best at that score, Mike changed the score to MONEY, and it turns out it possible to reach the position in just SIX moves (White-Blue-White-Blue-White-Blue), assuming that we remove Blue's irrelevant 54 dice from the board and White's fan before that.

It also turns out that this simplified version at the original score is reachable in SEVEN rolls (with Blue moving both first and last).






White is Player 2

score: 2
pip: 197
4 point match
pip: 134
score: 0

Blue is Player 1
XGID=ac--BBC-C--AdC---c-d----A-:1:-1:1:00:0:2:0:4:10

Reach this position in seven rolls


Restating the problem:

At the ¡V4¡V2 score (from the opening position), it is possible to reach the above position (with perfect play, according to XGR++ evaluation) in SEVEN moves. (Blue-White-Blue-White-Blue-White-Blue.)

There are at least a dozen solutions (though many share close similarities). Of those, only one solution works for Money as well (except for the timing of the cube).

Blue rolls 61 and opens with P (Point, 13/7 8/7). In reply, White rolls 21 and plays $ (Slot, 13/11 6/5), reaching the position below. Should Blue double?






White is Player 2

score: 2
pip: 164
4 point match
pip: 160
score: 0

Blue is Player 1
XGID=-b----EBB---dDa--c-da---B-:0:0:1:00:0:2:0:4:10

61P-21$-C


A double here would clearly be premature for Money, but AtS (¡V4¡V2) Blue should cube.

From here, Blue rolls 64 and plays K (Kill, 24/20*/14*) and White enters one checker with an ace. And now...






White is Player 2

score: 2
pip: 197
4 point match
pip: 150
score: 0

Blue is Player 1
XGID=ac----EBB---dDA--c-d----A-:1:-1:1:62:0:2:0:4:10

61P-21$-C-64K-1-62


For Money, this goes double/take. Blue now rolls 62, and (at either score) should play D (Down, 14/8 13/11). Then White fans, and...






White is Player 2

score: 2
pip: 197
4 point match
pip: 142
score: 0

Blue is Player 1
XGID=ac----EBC--AdC---c-d----A-:1:-1:1:22:0:2:0:4:10

61P-21$-C-64K-1-62D-F-22


Finally, on the seventh roll, Blue gets a double 2s, and makes the obvious play of A (Attack, 7/5(2) 6/4(2), thereby reaching the target position diagrammed at the top of this post.

Recapping that sequence (except that for Money, Blue doubles a turn later):

.....61P-21$-C-22E-1-62D-F-22A

The solutions below also work AtS (but don't work for Money, even with a deferred cube turn):

.....32D-21$-C-22E-F-659-1-54P
.....32D-41$-C-22E-F-54Z-1-65P
.....43D-21$-C-22E-F-63S-1-54P
.....43D-41$-C-22E-F-54Z-1-54P
.....51$-21$-C-64K-F-22I-1-54P
.....51$-21$-C-64K-1-22I-F-54P
.....51$-21$-C-64K-4-22I-1-54P
.....51$-21$-C-64K-41-22I-F-54P
.....51$-21$-C-64K-F-54P-1-22I
.....51$-21$-C-64K-F-54P-4122-I
.....51$-21$-C-64K-1-54P-F-22I

Nack

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