Replies to 41$

- 11 - 21 - 31 - 41 - 51 - 61 - 22 - 32 - 42 - 52 - 62 - 33 - 43 - 53 - 63 - 44 - 54 - 64 - 55 - 65 - 66 -

41$-11 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:11:0:0:3:0:10
to play 11
1.Book124/20* eq: +0.1476
Player:
Opponent:		52.71% (G:16.90% B:1.17%)
47.29% (G:12.52% B:0.53%)		Conf.: ±0.0027 (+0.1448...+0.1503) - [100.0%]
2.Book18/7(2) 6/5(2)eq: +0.1395 (-0.0081)
Player:
Opponent:		53.54% (G:16.22% B:0.96%)
46.46% (G:14.67% B:0.81%)		Conf.: ±0.0025 (+0.1370...+0.1420) - [0.0%]
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
62208 Games rolled with Variance Reduction.
Dice Seed: 25805054
Moves and cube decisions: 3-ply

41$-21 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:21:0:0:3:0:10
to play 21
1.Book113/11 6/5eq: -0.2639
Player:
Opponent:		44.47% (G:12.52% B:0.65%)
55.53% (G:18.86% B:1.32%)		Conf.: ±0.0036 (-0.2675...-0.2604) - [100.0%]
2.Book124/23 13/11eq: -0.2869 (-0.0229)
Player:
Opponent:		43.61% (G:11.68% B:0.57%)
56.39% (G:17.97% B:0.87%)		Conf.: ±0.0034 (-0.2902...-0.2835) - [0.0%]
3.Book224/22 6/5eq: -0.3126 (-0.0487)
Player:
Opponent:		43.85% (G:11.33% B:0.61%)
56.15% (G:20.53% B:1.20%)		Conf.: ±0.0081 (-0.3206...-0.3045) - [0.0%]
4.Book224/21eq: -0.3241 (-0.0602)
Player:
Opponent:		42.95% (G:10.83% B:0.55%)
57.05% (G:18.59% B:0.88%)		Conf.: ±0.0073 (-0.3314...-0.3168) - [0.0%]
5.Book324/23 6/4eq: -0.3404 (-0.0765)
Player:
Opponent:		42.86% (G:10.82% B:0.53%)
57.14% (G:19.92% B:0.99%)
6.Book324/23 24/22eq: -0.3446 (-0.0807)
Player:
Opponent:		42.33% (G:10.27% B:0.48%)
57.67% (G:18.59% B:0.76%)
7.Book313/10eq: -0.3522 (-0.0883)
Player:
Opponent:		41.98% (G:11.11% B:0.49%)
58.02% (G:18.58% B:1.10%)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
31104 Games rolled with Variance Reduction.
Dice Seed: 72534172
Moves and cube decisions: 3-ply

2 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
10368 Games rolled with Variance Reduction.
Dice Seed: 77390818
Moves: 2-ply, cube decisions: 3-ply Red

3 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
Analyzed in XG Roller++

41$-31 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:31:0:0:3:0:10
to play 31
1.Book124/20* eq: +0.1476
Player:
Opponent:		52.71% (G:16.90% B:1.17%)
47.29% (G:12.52% B:0.53%)		Conf.: ±0.0027 (+0.1448...+0.1503)
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
62208 Games rolled with Variance Reduction.
Dice Seed: 25805054
Moves and cube decisions: 3-ply

41$-41 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:41:0:0:3:0:10
to play 41
1.Book124/23 24/20* eq: +0.1698
Player:
Opponent:		53.13% (G:16.74% B:1.15%)
46.87% (G:11.65% B:0.48%)		Conf.: ±0.0092 (+0.1606...+0.1790)
2.Book224/20* 6/5eq: +0.0924 (-0.0774)
Player:
Opponent:		51.73% (G:15.11% B:0.95%)
48.27% (G:12.62% B:0.63%)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 21992904
Moves and cube decisions: 3-ply

2 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
Analyzed in XG Roller++

41$-51 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:51:0:0:3:0:10
to play 51
1.Book113/8 6/5eq: -0.2856
Player:
Opponent:		43.62% (G:12.25% B:0.62%)
56.38% (G:18.12% B:1.06%)		Conf.: ±0.0025 (-0.2881...-0.2832) - [100.0%]
2.Book124/23 13/8eq: -0.2964 (-0.0108)
Player:
Opponent:		43.26% (G:11.49% B:0.57%)
56.74% (G:17.68% B:0.77%)		Conf.: ±0.0023 (-0.2987...-0.2941) - [0.0%]
3.Book224/18eq: -0.3468 (-0.0611)
Player:
Opponent:		42.83% (G:9.90% B:0.46%)
57.17% (G:19.15% B:0.73%)
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
62208 Games rolled with Variance Reduction.
Dice Seed: 83180456
Moves and cube decisions: 3-ply

2 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
Analyzed in XG Roller++

41$-61 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:61:0:0:3:0:10
to play 61
1.Book113/7 8/7eq: -0.1638
Player:
Opponent:		46.54% (G:12.83% B:0.69%)
53.46% (G:17.11% B:0.85%)		Conf.: ±0.0077 (-0.1715...-0.1561)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 60456238
Moves and cube decisions: 3-ply

41$-22 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:22:0:0:3:0:10
to play 22
1.Book124/20* 6/4(2)eq: +0.4842
Player:
Opponent:		59.75% (G:21.41% B:1.92%)
40.25% (G:8.96% B:0.35%)		Conf.: ±0.0097 (+0.4745...+0.4939)
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 72775746
Moves and cube decisions: 3-ply

41$-32 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:32:0:0:3:0:10
to play 32
1.Book124/21 13/11eq: -0.2692
Player:
Opponent:		44.32% (G:11.69% B:0.62%)
55.68% (G:18.41% B:0.95%)		Conf.: ±0.0046 (-0.2738...-0.2646) - [100.0%]
2.Book124/22 13/10eq: -0.3004 (-0.0312)
Player:
Opponent:		43.42% (G:11.56% B:0.57%)
56.58% (G:18.65% B:0.92%)		Conf.: ±0.0047 (-0.3050...-0.2957) - [0.0%]
3.Book113/11 13/10eq: -0.3095 (-0.0404)
Player:
Opponent:		42.95% (G:12.81% B:0.66%)
57.05% (G:18.94% B:1.29%)		Conf.: ±0.0048 (-0.3143...-0.3048) - [0.0%]
4.Book224/22 24/21eq: -0.3212 (-0.0520)
Player:
Opponent:		43.18% (G:10.54% B:0.49%)
56.82% (G:18.37% B:0.72%)		Conf.: ±0.0077 (-0.3289...-0.3135) - [0.0%]
5.Book313/10 6/4eq: -0.3310 (-0.0619)
Player:
Opponent:		42.84% (G:11.58% B:0.55%)
57.16% (G:18.98% B:1.40%)
6.Book313/11 8/5eq: -0.3325 (-0.0634)
Player:
Opponent:		42.70% (G:12.06% B:0.61%)
57.30% (G:19.47% B:1.42%)
7.Book324/21 6/4eq: -0.3467 (-0.0776)
Player:
Opponent:		42.80% (G:10.58% B:0.51%)
57.20% (G:19.39% B:1.10%)
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
15552 Games rolled with Variance Reduction.
Dice Seed: 70461850
Moves and cube decisions: 3-ply

2 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 70461850
Moves and cube decisions: 3-ply

3 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
Analyzed in XG Roller++

41$-42 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:42:0:0:3:0:10
to play 42
1.Book124/20* 13/11eq: +0.1883
Player:
Opponent:		53.46% (G:18.02% B:1.32%)
46.54% (G:12.13% B:0.57%)		Conf.: ±0.0028 (+0.1855...+0.1911) - [100.0%]
2.Book124/22 24/20* eq: +0.1727 (-0.0156)
Player:
Opponent:		53.40% (G:16.54% B:1.12%)
46.60% (G:11.94% B:0.49%)		Conf.: ±0.0040 (+0.1687...+0.1768) - [0.0%]
3.Book224/18eq: -0.3468 (-0.5351)
Player:
Opponent:		42.83% (G:9.90% B:0.46%)
57.17% (G:19.15% B:0.73%)
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
62208 Games rolled with Variance Reduction.
Dice Seed: 11227365
Moves and cube decisions: 3-ply

2 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
Analyzed in XG Roller++

41$-52 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:52:0:0:3:0:10
to play 52
1.Book124/22 13/8eq: -0.3148
Player:
Opponent:		43.06% (G:11.45% B:0.59%)
56.94% (G:18.66% B:0.80%)		Conf.: ±0.0034 (-0.3182...-0.3114) - [100.0%]
2.Book113/8 6/4eq: -0.3387 (-0.0238)
Player:
Opponent:		42.60% (G:11.73% B:0.64%)
57.40% (G:19.31% B:1.11%)		Conf.: ±0.0035 (-0.3421...-0.3352) - [0.0%]
3.Book113/11 13/8eq: -0.3436 (-0.0288)
Player:
Opponent:		42.28% (G:12.05% B:0.65%)
57.72% (G:18.95% B:1.04%)		Conf.: ±0.0035 (-0.3471...-0.3401) - [0.0%]
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
31104 Games rolled with Variance Reduction.
Dice Seed: 31128470
Moves and cube decisions: 3-ply

41$-62 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:62:0:0:3:0:10
to play 62
1.Book124/16* eq: +0.0972
Player:
Opponent:		52.26% (G:14.92% B:0.96%)
47.74% (G:13.63% B:0.52%)		Conf.: ±0.0087 (+0.0885...+0.1059)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 29188246
Moves and cube decisions: 3-ply

41$-33 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:33:0:0:3:0:10
to play 33
1.Book124/21(2) 8/5(2)eq: +0.1729
Player:
Opponent:		53.03% (G:16.18% B:0.67%)
46.97% (G:10.12% B:0.42%)		Conf.: ±0.0022 (+0.1707...+0.1751) - [75.3%]
2.Book124/21(2) 6/3(2)eq: +0.1718 (-0.0011)
Player:
Opponent:		53.44% (G:14.69% B:0.65%)
46.56% (G:10.09% B:0.40%)		Conf.: ±0.0021 (+0.1697...+0.1739) - [24.7%]
3.Book124/21(2) 13/10(2)eq: +0.1536 (-0.0192)
Player:
Opponent:		53.23% (G:14.23% B:0.60%)
46.77% (G:10.25% B:0.42%)		Conf.: ±0.0022 (+0.1515...+0.1558) - [0.0%]
4.Book28/5(2) 6/3(2)eq: +0.1093 (-0.0636)
Player:
Opponent:		51.75% (G:18.79% B:1.16%)
48.25% (G:14.76% B:0.80%)		Conf.: ±0.0081 (+0.1011...+0.1174) - [0.0%]
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
62208 Games rolled with Variance Reduction.
Dice Seed: 70578242
Moves and cube decisions: 3-ply

2 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 70578242
Moves and cube decisions: 3-ply

41$-43 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:43:0:0:3:0:10
to play 43
1.Book124/21 24/20* eq: +0.2004
Player:
Opponent:		54.21% (G:16.51% B:1.14%)
45.79% (G:11.84% B:0.48%)		Conf.: ±0.0027 (+0.1978...+0.2031) - [100.0%]
2.Book124/20* 13/10eq: +0.1825 (-0.0180)
Player:
Opponent:		53.31% (G:18.12% B:1.34%)
46.69% (G:12.22% B:0.59%)		Conf.: ±0.0028 (+0.1797...+0.1852) - [0.0%]
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
62208 Games rolled with Variance Reduction.
Dice Seed: 46776358
Moves and cube decisions: 3-ply

41$-53 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:53:0:0:3:0:10
to play 53
1.Book124/16* eq: +0.0972
Player:
Opponent:		52.26% (G:14.92% B:0.96%)
47.74% (G:13.63% B:0.52%)		Conf.: ±0.0087 (+0.0885...+0.1059)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 29188246
Moves and cube decisions: 3-ply

41$-63 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:63:0:0:3:0:10
to play 63
1.Book124/15eq: -0.2925
Player:
Opponent:		43.84% (G:10.04% B:0.48%)
56.16% (G:17.90% B:0.69%)		Conf.: ±0.0023 (-0.2948...-0.2902) - [100.0%]
2.Book124/18 13/10eq: -0.3039 (-0.0114)
Player:
Opponent:		43.67% (G:11.28% B:0.62%)
56.33% (G:19.38% B:0.95%)		Conf.: ±0.0024 (-0.3062...-0.3015) - [0.0%]
3.Book213/4eq: -0.3577 (-0.0652)
Player:
Opponent:		41.86% (G:11.73% B:0.57%)
58.14% (G:18.86% B:1.11%)
4.Book224/21 24/18eq: -0.3627 (-0.0702)
Player:
Opponent:		42.60% (G:9.64% B:0.47%)
57.40% (G:19.78% B:0.70%)
5.Book224/21 13/7eq: -0.3672 (-0.0747)
Player:
Opponent:		41.81% (G:10.64% B:0.53%)
58.19% (G:18.59% B:1.00%)
6.Book213/10 13/7eq: -0.3928 (-0.1003)
Player:
Opponent:		41.10% (G:11.35% B:0.58%)
58.90% (G:19.49% B:1.40%)
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
62208 Games rolled with Variance Reduction.
Dice Seed: 44741468
Moves and cube decisions: 3-ply

2 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
Analyzed in XG Roller++

41$-44 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:44:0:0:3:0:10
to play 44
1.Book124/20* 20/16* 13/9(2)eq: +0.6118
Player:
Opponent:		61.83% (G:24.92% B:2.56%)
38.17% (G:7.76% B:0.34%)		Conf.: ±0.0032 (+0.6086...+0.6150) - [100.0%]
2.Book124/20* 20/16* 8/4(2)eq: +0.6005 (-0.0113)
Player:
Opponent:		60.52% (G:27.36% B:3.33%)
39.48% (G:8.26% B:0.38%)		Conf.: ±0.0033 (+0.5973...+0.6038) - [0.0%]
3.Book224/20*(2) 13/9(2)eq: +0.5589 (-0.0529)
Player:
Opponent:		62.44% (G:19.99% B:1.26%)
37.56% (G:7.19% B:0.28%)		Conf.: ±0.0091 (+0.5499...+0.5680) - [0.0%]
 
1 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
62208 Games rolled with Variance Reduction.
Dice Seed: 25103439
Moves and cube decisions: 3-ply

2 Generated by David Rockwell on 7/1/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 25103439
Moves and cube decisions: 3-ply

41$-54 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:54:0:0:3:0:10
to play 54
1.Book124/20* 13/8eq: +0.1952
Player:
Opponent:		53.57% (G:18.23% B:1.33%)
46.43% (G:11.94% B:0.51%)		Conf.: ±0.0043 (+0.1909...+0.1995) - [100.0%]
2.Book124/20* 20/15eq: +0.1648 (-0.0304)
Player:
Opponent:		53.57% (G:16.17% B:1.05%)
46.43% (G:12.40% B:0.51%)		Conf.: ±0.0039 (+0.1609...+0.1687) - [0.0%]
3.Book213/4eq: -0.3577 (-0.5529)
Player:
Opponent:		41.86% (G:11.73% B:0.57%)
58.14% (G:18.86% B:1.11%)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
25920 Games rolled with Variance Reduction.
Dice Seed: 90269669
Moves and cube decisions: 3-ply

2 Generated by GameSite 2000, Ltd on 2/26/2011 using eXtreme Gammon 2.00
Analyzed in XG Roller++

41$-64 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:64:0:0:3:0:10
to play 64
1.Book124/20* 20/14eq: +0.1941
Player:
Opponent:		54.19% (G:16.05% B:1.02%)
45.81% (G:12.07% B:0.51%)		Conf.: ±0.0087 (+0.1854...+0.2028) - [100.0%]
2.Book124/20* 13/7eq: +0.1374 (-0.0567)
Player:
Opponent:		52.30% (G:17.01% B:1.13%)
47.70% (G:12.22% B:0.58%)		Conf.: ±0.0094 (+0.1280...+0.1469) - [0.0%]
3.Book124/18 24/20* eq: +0.1306 (-0.0635)
Player:
Opponent:		52.68% (G:15.99% B:1.11%)
47.32% (G:12.69% B:0.53%)		Conf.: ±0.0092 (+0.1214...+0.1399) - [0.0%]
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 29850618
Moves and cube decisions: 3-ply

41$-55 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:55:0:0:3:0:10
to play 55
1.Book113/3(2)eq: -0.2032
Player:
Opponent:		44.83% (G:14.63% B:1.03%)
55.17% (G:17.16% B:0.80%)		Conf.: ±0.0091 (-0.2123...-0.1941)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 10911572
Moves and cube decisions: 3-ply

41$-65 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:65:0:0:3:0:10
to play 65
1.Book124/13eq: -0.1779
Player:
Opponent:		46.40% (G:10.19% B:0.47%)
53.60% (G:16.11% B:0.51%)		Conf.: ±0.0078 (-0.1858...-0.1701)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 55737457
Moves and cube decisions: 3-ply

41$-66 (top)
is Opening

score: 0
pip: 162
Unlimited Game
Jacoby Beaver
pip: 167
score: 0

is Reply
XGID=-b---AD-CA--eD---c-e----B-:0:0:-1:66:0:0:3:0:10
to play 66
1.Book124/18(2) 13/7(2)eq: +0.4492
Player:
Opponent:		61.32% (G:14.42% B:0.55%)
38.68% (G:8.64% B:0.29%)		Conf.: ±0.0070 (+0.4422...+0.4561)
 
1 Generated by David Rockwell on 11/16/2012 using eXtreme Gammon 2.00
5184 Games rolled with Variance Reduction.
Dice Seed: 89433305
Moves and cube decisions: 3-ply