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| XGID=-aB-BCC-Caa-------b-bbdbB-:0:0:1:51:0:0:3:0:10 | |||||
| 53P-32S-44A-52S-53H-52S-11E-61U-33P-31B- 63R-21L-F-64P-31-42P-55O-42P-64@-445-32r-51 (perfectly played money sequence).....Nactation tutorial (corrected URL) | |||||
.....(1) Money ?
.....(2) DMP ?
.....(3) Gammon Save ?
.....(4) Gammon Go ?
Below is a nacbrac summary of the rollouts, for "m" (money), "d" (double match point), "s" (gammon save) and "g" (gammon go).
.........m[X e55 E78 H134 P155] "<5
..........d[e E8 H13 X18 P39] "<5
..........s[P H47 e49 E63] "<5
..........g[H X14 e30 P33 E52] "<7*5
Key:..e = each (24/19 5/4), E = Each (24/19 6/5), H = Hit (8/7 6/1*), P = Point (6/1* 2/1), and the sensational X = hit and split (24/19 2/1*). Each of the four main scores has a different best play. In fact, this is not only a T4 (technical four-score position). Clearing a higher bar, it is also a "R4" (real four-score position), meaning that for each of money, DMP, gammon save and gammon go, the best play clears its respective .010, .0045, .0075 and .0075 "tied" margin (compared to any play that is best at some other score).
The power rating for this R4 is [sqrt55 + sqrt13*20/9 + sqrt47*10/7 + sqrt14*10/7] = 30.57. Compare to power ratings of some other R4's (scroll to the bottom). Also not yet included in that consolidation (chronologically listed here) are R4's with rolls of 41, 43, 64, 44, 65, 21, 54, 52, 31, 65, 55 and several others hence.
Having posed this 51 position a few weeks ago, and this 63 position last week, and having provided rollout results for all scores for both positions, I have finally posted (either here or on Facebook) at least one R4 for each of the twenty-one rolls; for some rolls multiple R4s.
Detailed rollout results for French 51 appear below.
Money eXtreme Gammon Version: 2.10 DMP eXtreme Gammon Version: 2.10, MET: Kazaross XG2 Gammon Save eXtreme Gammon Version: 2.10, MET: Kazaross XG2 Gammon Go eXtreme Gammon Version: 2.10, MET: Kazaross XG2
Nactation tutorial (corrected URL) ....nacbracs explanation
White is Player 2
score: 0
pip: 103 Unlimited Game
Jacoby Beaver pip: 117
score: 0
Blue is Player 1 XGID=-aB-BCC-Caa-------b-bbdbB-:0:0:1:51:0:0:3:0:10 Blue to play 51 1. Rollout1 24/19 2/1* eq: -0.182 Player:
Opponent:42.55% (G:15.97% B:0.88%)
57.45% (G:23.69% B:1.55%)Conf.: ± 0.007 (-0.189...-0.176) - [100.0%]
Duration: 22 minutes 45 seconds 2. Rollout1 24/19 5/4 eq: -0.237 (-0.055) Player:
Opponent:44.70% (G:15.79% B:1.70%)
55.30% (G:17.46% B:0.35%)Conf.: ± 0.005 (-0.242...-0.232) - [0.0%]
Duration: 15 minutes 46 seconds 3. Rollout1 24/19 6/5 eq: -0.261 (-0.078) Player:
Opponent:43.81% (G:14.67% B:1.39%)
56.19% (G:16.95% B:0.33%)Conf.: ± 0.004 (-0.265...-0.256) - [0.0%]
Duration: 15 minutes 08 seconds 4. Rollout1 8/7 6/1* eq: -0.316 (-0.134) Player:
Opponent:42.32% (G:16.31% B:0.78%)
57.68% (G:17.85% B:1.73%)Conf.: ± 0.007 (-0.323...-0.310) - [0.0%]
Duration: 14 minutes 46 seconds 5. Rollout1 6/1* 2/1 eq: -0.338 (-0.155) Player:
Opponent:41.45% (G:15.86% B:0.71%)
58.55% (G:13.93% B:0.92%)Conf.: ± 0.007 (-0.344...-0.331) - [0.0%]
Duration: 17 minutes 15 seconds 1 5184 Games rolled with Variance Reduction.
Dice Seed: 20263805
Moves and cube decisions: 3-ply
White is Player 2
score: 0
pip: 103 1 point match pip: 117
score: 0
Blue is Player 1 XGID=-aB-BCC-Caa-------b-bbdbB-:0:0:1:51:0:0:0:1:10 Blue to play 51 1. Rollout1 24/19 5/4 eq: -0.129 Player:
Opponent:43.54% (G:13.31% B:1.59%)
56.46% (G:14.08% B:0.39%)Conf.: ± 0.002 (-0.131...-0.127) - [100.0%]
Duration: 24 minutes 44 seconds 2. Rollout1 24/19 6/5 eq: -0.138 (-0.008) Player:
Opponent:43.12% (G:13.40% B:1.46%)
56.88% (G:14.38% B:0.48%)Conf.: ± 0.002 (-0.140...-0.135) - [0.0%]
Duration: 25 minutes 00 second 3. Rollout1 8/7 6/1* eq: -0.142 (-0.013) Player:
Opponent:42.88% (G:13.49% B:0.48%)
57.12% (G:18.93% B:4.97%)Conf.: ± 0.003 (-0.145...-0.140) - [0.0%]
Duration: 29 minutes 17 seconds 4. Rollout1 24/19 2/1* eq: -0.147 (-0.018) Player:
Opponent:42.66% (G:13.80% B:0.57%)
57.34% (G:24.82% B:2.46%)Conf.: ± 0.002 (-0.149...-0.144) - [0.0%]
Duration: 32 minutes 21 seconds 5. Rollout1 6/1* 2/1 eq: -0.168 (-0.039) Player:
Opponent:41.60% (G:13.40% B:0.30%)
58.40% (G:14.88% B:2.69%)Conf.: ± 0.002 (-0.170...-0.166) - [0.0%]
Duration: 24 minutes 57 seconds 1 5184 Games rolled with Variance Reduction.
Dice Seed: 52316200
Moves: 3-ply, cube decisions: XG Roller
White is Player 2
score: 0
pip: 103 2 point match
Crawford pip: 117
score: 1
Blue is Player 1 XGID=-aB-BCC-Caa-------b-bbdbB-:0:0:1:51:1:0:1:2:10 Blue to play 51 1. Rollout1 6/1* 2/1 eq: -0.439 Player:
Opponent:41.35% (G:13.83% B:0.41%)
58.65% (G:13.29% B:1.91%)Conf.: ± 0.003 (-0.442...-0.435) - [100.0%]
Duration: 30 minutes 37 seconds 2. Rollout1 8/7 6/1* eq: -0.485 (-0.047) Player:
Opponent:42.35% (G:13.76% B:0.47%)
57.65% (G:16.62% B:4.32%)Conf.: ± 0.004 (-0.489...-0.482) - [0.0%]
Duration: 30 minutes 39 seconds 3. Rollout1 24/19 5/4 eq: -0.488 (-0.049) Player:
Opponent:44.67% (G:14.95% B:2.02%)
55.33% (G:19.06% B:1.00%)Conf.: ± 0.003 (-0.491...-0.485) - [0.0%]
Duration: 26 minutes 56 seconds 4. Rollout1 24/19 6/5 eq: -0.502 (-0.063) Player:
Opponent:44.10% (G:14.53% B:1.95%)
55.90% (G:19.21% B:0.82%)Conf.: ± 0.003 (-0.505...-0.499) - [0.0%]
Duration: 26 minutes 26 seconds 1 5184 Games rolled with Variance Reduction.
Dice Seed: 95545756
Moves: 3-ply, cube decisions: XG Roller
White is Player 2
score: 1
pip: 103 2 point match
Crawford pip: 117
score: 0
Blue is Player 1 XGID=-aB-BCC-Caa-------b-bbdbB-:0:0:1:51:0:1:1:2:10 Blue to play 51 1. Rollout1 8/7 6/1* eq: +0.184 Player:
Opponent:42.54% (G:16.68% B:1.31%)
57.46% (G:18.65% B:5.24%)Conf.: ± 0.003 (+0.181...+0.187) - [100.0%]
Duration: 36 minutes 08 seconds 2. Rollout1 24/19 2/1* eq: +0.170 (-0.014) Player:
Opponent:42.24% (G:16.28% B:1.38%)
57.76% (G:24.63% B:2.80%)Conf.: ± 0.003 (+0.167...+0.173) - [0.0%]
Duration: 38 minutes 01 second 3. Rollout2 24/19 5/4 eq: +0.154 (-0.030) Player:
Opponent:44.03% (G:13.69% B:1.31%)
55.97% (G:12.51% B:0.63%)Conf.: ± 0.003 (+0.151...+0.157) - [0.0%]
Duration: 18 minutes 42 seconds 4. Rollout2 6/1* 2/1 eq: +0.151 (-0.033) Player:
Opponent:41.25% (G:16.32% B:1.14%)
58.75% (G:14.73% B:2.87%)Conf.: ± 0.003 (+0.148...+0.155) - [0.0%]
Duration: 20 minutes 58 seconds 5. Rollout2 24/19 6/5 eq: +0.133 (-0.052) Player:
Opponent:43.71% (G:12.93% B:1.16%)
56.29% (G:12.44% B:0.43%)Conf.: ± 0.003 (+0.130...+0.136) - [0.0%]
Duration: 18 minutes 09 seconds 1 7776 Games rolled with Variance Reduction.
Dice Seed: 67831944
Moves: 3-ply, cube decisions: XG Roller
2 5184 Games rolled with Variance Reduction.
Dice Seed: 67831944
Moves: 3-ply, cube decisions: XG Roller