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Puzzle solution

Posted By: Nack Ballard
Date: Friday, 30 October 2015, at 6:31 p.m.

In Response To: Variant, and a little puzzle (Nack Ballard)

 White is Player 2 score: 6 pip: 145 7 point match Crawford pip: 133 score: 5 Blue is Player 1
XGID=bABBBBB-----b--a-c-bcbBA-A:0:0:1:11:5:6:1:7:10

PUZZLE: Can this position be reached legally?

I waited a few days to see if anyone else would solve this puzzle. Congratulations to Scotty for his correct answer!

Until recently, Blue had four checkers on the bar, at least two of which were hit in the outfield. For example...

 White is Player 2 score: 6 pip: 127 7 point match pip: 112 score: 5 Blue is Player 1
XGID=-ABBBBBa---Ab--A-g-bc-AA--:0:0:-1:65:5:6:0:7:10

White to play 65

Above, let's say White chooses to hit twice with 65, Blue rolls 54 or 64 (entering with a 4 and fanning with the other checker), then White rolls 44 and plays 18/14*/10* 8/4*(2). Next...

 White is Player 2 score: 6 pip: 100 7 point match pip: 141 score: 5 Blue is Player 1
XGID=-ABBBBB-----b--a-c-bcbaa-D:0:0:1:00:5:6:0:7:10

Blue on roll

Blue might, for example, enter with 32 followed by 3x (where x is a fanning 4, 5 or 6), or 3x then 32. Meanwhile, White fans (for as many times as is necessary for Blue to enter three of his four checkers on the implied points, and roll again). This sequence produces the puzzle position -- the first one diagrammed in this post.

Nack

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