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Puzzle solution
Posted By: Nack Ballard In Response To: Variant, and a little puzzle (Nack Ballard)
Date: Friday, 30 October 2015, at 6:31 p.m.
White is Player 2
score: 6
pip: 1457 point match
Crawfordpip: 133
score: 5
Blue is Player 1XGID=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: 1277 point match pip: 112
score: 5
Blue is Player 1XGID=-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: 1007 point match pip: 141
score: 5
Blue is Player 1XGID=-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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