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Variant, and a little puzzle

Posted By: Nack Ballard
Date: Sunday, 25 October 2015, at 10:15 a.m.

In Response To: Bot info (Timothy Chow)





White is Player 1

score: 6
pip: 145
7 point match
Crawford
pip: 131
score: 5

Blue is Player 2
XGID=bABBBBB-----b--a-c-bcbC-A-:0:0:1:21:5:6:1:7:10

Original Position


1.Rollout124/23 3/1eq: +0.877
Player:
Opponent:		56.91% (G:36.94% B:3.79%)
43.09% (G:12.34% B:1.51%)		Conf.: � 0.009 (+0.868...+0.886) - [100.0%]
Duration: 8 minutes 47 seconds
2.Rollout14/1eq: +0.636 (-0.241)
Player:
Opponent:		49.76% (G:32.04% B:2.41%)
50.24% (G:15.29% B:1.43%)		Conf.: � 0.009 (+0.627...+0.645) - [0.0%]
Duration: 8 minutes 55 seconds
3.Rollout13/2 3/1eq: +0.626 (-0.251)
Player:
Opponent:		50.58% (G:30.72% B:3.50%)
49.42% (G:12.85% B:1.20%)		Conf.: � 0.008 (+0.618...+0.634) - [0.0%]
Duration: 8 minutes 50 seconds
1 1296 Games rolled with Variance Reduction.
Dice Seed: 271828
Moves: 3-ply, cube decisions: XG Roller

Above is Tim's rollout of the original position. (Note: The best play escapes with any 5, and closes the board with 55.)

Below is a cusp variant (same Gammon Go score).





White is Player 2

score: 6
pip: 145
7 point match
Crawford
pip: 132
score: 5

Blue is Player 1
XGID=bABBBBB-----b--a-c-bcbBAA-:0:0:1:21:5:6:1:7:10

Variant Position


1.Rollout124/22 2/1eq: +0.927
Player:
Opponent:		58.83% (G:37.50% B:2.83%)
41.17% (G:12.27% B:1.49%)		Conf.: กำ 0.004 (+0.922...+0.931) - [98.4%]
Duration: 55 minutes 30 seconds
2.Rollout13/2 3/1eq: +0.920 (-0.007)
Player:
Opponent:		58.87% (G:37.12% B:2.17%)
41.13% (G:10.12% B:0.99%)		Conf.: กำ 0.004 (+0.916...+0.924) - [1.6%]
Duration: 53 minutes 07 seconds
 
1 5184 Games rolled with Variance Reduction.
Moves: 3-ply, cube decisions: XG Roller

An alternative way to express the variant position is to back up Blue's position another pip and change the roll (from 21) to 11, though this creates additional candidates. [In the position below, bar/23 2/1(2) rolls out at 0.925, which is between the equities of the two candidates above. The three plays are "tied."]

PUZZLE

The puzzle position below represents one of the three ways to back up Blue's pip. The (two-part) question is:

Can the position below be reached legally? If so, how? If not, why not?

Nack





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?


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