Game number 1

The score (after 0 games) is: Aaron Wong 0, Jason Lee 0 (match to 7 points)

Match Information

Date	November 18, 2008

Move number 1: Aaron Wong to play 61

+--1--2--3--4--5--6-+---+--7--8--9-10-11-12-+

+-24-23-22-21-20-19-+---+-18-17-16-15-14-13-+

Pip counts: Aaron Wong 167, Jason Lee 167
Position ID: 4HPwATDgc/ABMA Match ID: MADnAAAAAAAA

• Aaron Wong moves 13/7 8/7

#		Ply	Move	Equity
•	1	2	13/7 8/7	+0.174
			0.543 0.156 0.006 - 0.457 0.119 0.004
	2	2	24/23 24/18	-0.020 ( -0.194)
			0.501 0.120 0.005 - 0.499 0.139 0.004
	3	2	24/23 13/7	-0.036 ( -0.209)
			0.490 0.138 0.006 - 0.510 0.140 0.005
	4	2	13/6	-0.042 ( -0.216)
			0.488 0.137 0.006 - 0.512 0.143 0.005
	5	2	13/7 6/5	-0.075 ( -0.249)
			0.484 0.134 0.006 - 0.516 0.153 0.009

Move number 2: Jason Lee to play 12

Pip counts: Aaron Wong 160, Jason Lee 167
Position ID: 4NvgATDgc/ABMA Match ID: cInoAAAAAAAA

• Jason Lee moves 24/23 13/11

Cube decision
4-ply cubeless equity		-0.132	(Money: -0.130)
	0.455 0.120 0.004 - 0.545 0.157 0.006
Cubeful equities:
1.	No double	-0.188
2.	Double, pass	+1.000	+1.188
3.	Double, take	-0.644	-0.457
Proper cube action:		No double, take (27.8%)

#		Ply	Move	Equity
•	1	4	24/23 13/11	-0.233
			0.448 0.116 0.004 - 0.552 0.170 0.006
	2	4	13/11 6/5	-0.233 ( -0.000)
			0.451 0.118 0.004 - 0.549 0.172 0.011
	3	4	24/21	-0.250 ( -0.017)
			0.445 0.105 0.004 - 0.555 0.163 0.006
	4	4	24/23 24/22	-0.252 ( -0.019)
			0.444 0.106 0.003 - 0.556 0.167 0.005
	5	4	13/10	-0.274 ( -0.041)
			0.435 0.118 0.004 - 0.565 0.167 0.008

Move number 3: Aaron Wong to play 11

Pip counts: Aaron Wong 160, Jason Lee 164
Position ID: 4HPkASjg2+ABMA Match ID: MIHkAAAAAAAA

• Aaron Wong moves 24/22 6/5(2)

Cube decision
4-ply cubeless equity		+0.163	(Money: +0.160)
	0.552 0.170 0.006 - 0.448 0.116 0.004
Cubeful equities:
1.	No double	+0.233
2.	Double, pass	+1.000	+0.767
3.	Double, take	+0.017	-0.216
Proper cube action:		No double, take (22.0%)

#		Ply	Move	Equity
•	1	4	24/22 6/5(2)	+0.626
			0.646 0.198 0.008 - 0.354 0.093 0.002
	2	4	24/23 6/5(3)	+0.609 ( -0.018)
			0.640 0.201 0.009 - 0.360 0.097 0.003
	3	4	24/23(2) 6/5(2)	+0.545 ( -0.081)
			0.627 0.198 0.008 - 0.373 0.098 0.003
	4	2	6/4(2)	+0.379 ( -0.247)
			0.592 0.190 0.008 - 0.408 0.110 0.004
	5	2	6/4 6/5(2)	+0.360 ( -0.266)
			0.589 0.182 0.007 - 0.411 0.118 0.005

Move number 4: Jason Lee to play 14

Pip counts: Aaron Wong 156, Jason Lee 164
Position ID: sNvgASTgc+QBKA Match ID: cInwAAAAAAAA

• Jason Lee moves 11/7 8/7

Cube decision
4-ply cubeless equity		-0.409	(Money: -0.404)
	0.354 0.093 0.002 - 0.646 0.198 0.008
Cubeful equities:
1.	No double	-0.626
2.	Double, pass	+1.000	+1.626
3.	Double, take	-1.343	-0.716
Proper cube action:		No double, take (30.6%)

#		Ply	Move	Equity
•	1	2	11/7 8/7	-0.593
			0.360 0.084 0.002 - 0.640 0.194 0.006
	2	2	13/8	-0.789 ( -0.197)
			0.327 0.078 0.002 - 0.673 0.219 0.010
	3	2	11/6	-0.808 ( -0.215)
			0.321 0.073 0.001 - 0.679 0.213 0.008
	4	2	23/22 11/7	-0.881 ( -0.288)
			0.321 0.069 0.002 - 0.679 0.239 0.014
	5	2	23/22 13/9	-0.897 ( -0.305)
			0.325 0.075 0.002 - 0.675 0.258 0.018

Move number 5: Aaron Wong to play 56

Pip counts: Aaron Wong 156, Jason Lee 159
Position ID: 4NvgASiw2+ABJA Match ID: MIH6AAAAAAAA

• Aaron Wong moves 22/11

Cube decision
4-ply cubeless equity		+0.400	(Money: +0.396)
	0.642 0.192 0.006 - 0.358 0.084 0.002
Cubeful equities:
1.	No double	+0.606
2.	Double, pass	+1.000	+0.394
3.	Double, take	+0.564	-0.042
Proper cube action:		No double, take (9.5%)

#		Ply	Move	Equity
•	1	4	22/11	+0.737
			0.676 0.177 0.006 - 0.324 0.078 0.002
	2	4	13/8 13/7	+0.663 ( -0.073)
			0.647 0.212 0.008 - 0.353 0.090 0.002
	3	2	22/16 13/8	+0.595 ( -0.142)
			0.647 0.183 0.006 - 0.353 0.092 0.002
	4	2	8/2* 7/2	+0.403 ( -0.334)
			0.573 0.229 0.010 - 0.427 0.108 0.004
	5	2	13/2*	+0.402 ( -0.335)
			0.593 0.193 0.007 - 0.407 0.104 0.003

Move number 6: Jason Lee to play 12

Pip counts: Aaron Wong 145, Jason Lee 159
Position ID: sNvIAyDg2+ABKA Match ID: cInoAAAAAAAA

• Jason Lee moves 24/22 23/22

Cube decision
4-ply cubeless equity		-0.459	(Money: -0.455)
	0.324 0.078 0.002 - 0.676 0.177 0.006
Cubeful equities:
1.	No double	-0.737
2.	Double, pass	+1.000	+1.737
3.	Double, take	-1.502	-0.765
Proper cube action:		No double, take (30.6%)

#		Ply	Move	Equity
•	1	2	24/22 23/22	-0.505
			0.352 0.064 0.001 - 0.648 0.095 0.002
	2	2	24/21	-0.722 ( -0.217)
			0.334 0.066 0.001 - 0.666 0.194 0.005
	3	2	23/22 13/11	-0.744 ( -0.239)
			0.326 0.070 0.001 - 0.674 0.188 0.007
	4	2	7/5 6/5	-0.770 ( -0.265)
			0.323 0.075 0.001 - 0.677 0.198 0.009
	5	2	23/21 6/5	-0.790 ( -0.285)
			0.333 0.071 0.002 - 0.667 0.227 0.011

Move number 7: Aaron Wong to play 14

Pip counts: Aaron Wong 145, Jason Lee 156
Position ID: 4NvgAQyw28gDIA Match ID: MIHwAAAAAAAA

• Aaron Wong moves 24/20 11/10

Cube decision
4-ply cubeless equity		+0.335	(Money: +0.334)
	0.651 0.094 0.002 - 0.349 0.063 0.001
Cubeful equities:
1.	No double	+0.538
2.	Double, pass	+1.000	+0.462
3.	Double, take	+0.448	-0.090
Proper cube action:		No double, take (16.3%)

#		Ply	Move	Equity
•	1	4	24/20 11/10	+0.536
			0.650 0.104 0.003 - 0.350 0.072 0.001
	2	4	24/20 6/5	+0.521 ( -0.015)
			0.648 0.098 0.002 - 0.352 0.072 0.001
	3	4	13/8	+0.460 ( -0.076)
			0.630 0.111 0.002 - 0.370 0.076 0.001
	4	4	24/23 11/7	+0.451 ( -0.085)
			0.629 0.106 0.002 - 0.371 0.075 0.001
	5	4	11/7 6/5	+0.442 ( -0.093)
			0.627 0.104 0.002 - 0.373 0.076 0.001

Move number 8: Jason Lee to play 26

Pip counts: Aaron Wong 140, Jason Lee 156
Position ID: sNvEAwLg2+ABDA Match ID: cAn5AAAAAAAA

• Jason Lee moves 13/7 6/4

Cube decision
4-ply cubeless equity		-0.334	(Money: -0.332)
	0.350 0.072 0.001 - 0.650 0.104 0.003
Cubeful equities:
1.	No double	-0.536
2.	Double, pass	+1.000	+1.536
3.	Double, take	-1.210	-0.674
Proper cube action:		No double, take (30.5%)

Alert: doubtful move ( -0.076)

Ply

Move

Equity

13/5*

-0.660

0.328	0.066	0.004	-	0.672	0.119	0.004	-0.402	-0.660
0.002	0.001	0.001	-	0.002	0.002	0.000	0.004	0.010

Full cubeful rollout with var.redn.

1296 games, Mersenne Twister dice gen. with seed 805685910 and quasi-random dice

Play: world class 2-ply cubeful prune [world class]

keep the first 0 0-ply moves and up to 8 more moves within equity 0.16

Skip pruning for 1-ply moves.

Cube: 2-ply cubeful prune [world class]

•

13/7 6/4

-0.736 ( -0.076)

0.304	0.044	0.002	-	0.696	0.075	0.003	-0.427	-0.736
0.001	0.001	0.000	-	0.001	0.001	0.000	0.003	0.008

Full cubeful rollout with var.redn.

1296 games, Mersenne Twister dice gen. with seed 805685910 and quasi-random dice

Play: world class 2-ply cubeful prune [world class]

keep the first 0 0-ply moves and up to 8 more moves within equity 0.16

Skip pruning for 1-ply moves.

Cube: 2-ply cubeful prune [world class]

13/11 13/7

-0.793 ( -0.133)

0.286 0.047 0.000 - 0.714 0.097 0.002

8/6 8/2

-0.825 ( -0.165)

0.275 0.037 0.000 - 0.725 0.078 0.001

8/2 6/4

-0.878 ( -0.218)

0.268 0.039 0.000 - 0.732 0.090 0.002

Annotation

Looks like 13/7 6/4 is definitely wrong. Black needs to regroup.

Move number 9: Aaron Wong to play 25

Pip counts: Aaron Wong 140, Jason Lee 148
Position ID: yLvBAQyw28QDAg Match ID: MAH1AAAAAAAA

• Aaron Wong moves 20/13

Cube decision
4-ply cubeless equity		+0.396	(Money: +0.395)
	0.684 0.073 0.002 - 0.316 0.048 0.001
Cubeful equities:
1.	No double	+0.658
2.	Double, pass	+1.000	+0.342
3.	Double, take	+0.596	-0.062
Proper cube action:		No double, take (15.3%)

#		Ply	Move	Equity
•	1	4	20/13	+0.790
			0.720 0.054 0.001 - 0.280 0.027 0.000
	2	4	20/15 13/11	+0.673 ( -0.117)
			0.683 0.100 0.003 - 0.317 0.065 0.001
	3	2	20/15 10/8	+0.602 ( -0.188)
			0.676 0.073 0.001 - 0.324 0.058 0.001
	4	2	13/11 13/8	+0.495 ( -0.295)
			0.644 0.111 0.003 - 0.356 0.080 0.002
	5	2	13/11 10/5	+0.457 ( -0.333)
			0.640 0.096 0.002 - 0.360 0.077 0.001

Move number 10: Jason Lee to play 45

Pip counts: Aaron Wong 133, Jason Lee 148
Position ID: sNvEBwDIu8EBDA Match ID: cAn2AAAAAAAA

• Jason Lee moves 13/4

Cube decision
4-ply cubeless equity		-0.469	(Money: -0.468)
	0.280 0.027 0.000 - 0.720 0.054 0.001
Cubeful equities:
1.	No double	-0.790
2.	Double, pass	+1.000	+1.790
3.	Double, take	-1.608	-0.818
Proper cube action:		No double, take (31.4%)

#		Ply	Move	Equity
•	1	4	13/4	-0.736
			0.290 0.025 0.000 - 0.710 0.043 0.001
	2	4	8/3 7/3	-0.750 ( -0.014)
			0.286 0.024 0.000 - 0.714 0.045 0.001
	3	4	8/4 8/3	-0.751 ( -0.015)
			0.287 0.024 0.000 - 0.713 0.045 0.001
	4	4	8/4 7/2	-0.753 ( -0.017)
			0.286 0.026 0.000 - 0.714 0.048 0.001
	5	4	13/9 8/3	-0.761 ( -0.026)
			0.284 0.025 0.000 - 0.716 0.046 0.001

Annotation

A decent practical double against weak opponents. No strong player will make the mistake of passing.

Aaron (after the game): I thought the double was a little early.

Jason: You could have made one solid improvement in your position, and I'd still have a take.

Move number 11: Aaron Wong doubles to 2

Pip counts: Aaron Wong 133, Jason Lee 139
Position ID: mHeDAQyw28QHAA Match ID: MBngAAAAAAAA

• Jason Lee accepts

Alert: wrong double ( -0.050)!

Cube decision

Rollout cubeless equity

+0.472

(Money: +0.471)

Cubeful equities:

No double

+0.834

Double, pass

+1.000

+0.166

Double, take

+0.784

-0.050

Proper cube action:

No double, take (23.1%)

Rollout details

	Win	W g	W bg		Lose	L g	L bg	Cubeless	Cubeful
Centered 1-cube	0.723	0.041	0.002	-	0.277	0.018	0.000	+0.472	+0.834
Standard error	0.001	0.001	0.001	-	0.001	0.001	0.000	0.003	0.006
Player Jason Lee owns 2-cube	0.726	0.042	0.001	-	0.274	0.018	0.001	+0.975	+0.784
Standard error	0.001	0.001	0.000	-	0.001	0.001	0.000	0.005	0.007

Full cubeful rollout with var.redn.

1296 games, Mersenne Twister dice gen. with seed 805319834 and quasi-random dice

Play: world class 2-ply cubeful prune [world class]

keep the first 0 0-ply moves and up to 8 more moves within equity 0.16

Skip pruning for 1-ply moves.

Cube: 2-ply cubeful prune [world class]

Move number 12: Aaron Wong to play 25

Pip counts: Aaron Wong 133, Jason Lee 139
Position ID: mHeDAQyw28QHAA Match ID: EQH1AAAAAAAA

• Aaron Wong moves 13/8 10/8

#		Ply	Move	Equity
	1	4	13/11 13/8	+0.363
			0.717 0.053 0.001 - 0.283 0.031 0.001
•	2	4	13/8 10/8	+0.360 ( -0.004)
			0.716 0.041 0.001 - 0.284 0.021 0.000
	3	4	13/11 10/5	+0.356 ( -0.007)
			0.714 0.049 0.001 - 0.286 0.027 0.000
	4	4	13/6	+0.341 ( -0.022)
			0.708 0.049 0.001 - 0.292 0.027 0.000
	5	2	10/8 6/1	+0.235 ( -0.128)
			0.666 0.050 0.001 - 0.334 0.039 0.000

Move number 13: Jason Lee to play 23

Pip counts: Aaron Wong 126, Jason Lee 139
Position ID: sNuDBwCYd4MBDA Match ID: UQntAAAAAAAA

• Jason Lee moves 8/5 7/5

Cube decision
4-ply cubeless equity		-0.454	(Money: -0.453)
	0.284 0.021 0.000 - 0.716 0.041 0.001
Cubeful equities:
1.	No double	-0.360
2.	Double, pass	+1.000	+1.360
3.	Double, take	-1.703	-1.343
Proper cube action:		No redouble, take (49.7%)

#		Ply	Move	Equity
•	1	4	8/5 7/5	-0.328
			0.295 0.023 0.000 - 0.705 0.037 0.001
	2	4	7/5 6/3	-0.333 ( -0.005)
			0.294 0.023 0.000 - 0.706 0.039 0.001
	3	4	8/5 6/4	-0.343 ( -0.015)
			0.290 0.023 0.000 - 0.710 0.040 0.001
	4	4	7/5 7/4	-0.345 ( -0.017)
			0.289 0.023 0.000 - 0.711 0.041 0.001
	5	4	8/3	-0.346 ( -0.018)
			0.289 0.022 0.000 - 0.711 0.040 0.001

Move number 14: Aaron Wong to play 16

Pip counts: Aaron Wong 126, Jason Lee 134
Position ID: 2N6CAQyw24MHAA Match ID: EYH4AAAAAAAA

• Aaron Wong moves 13/7 8/7

#		Ply	Move	Equity
•	1	4	13/7 8/7	+0.380
			0.724 0.039 0.001 - 0.276 0.018 0.000
	2	4	13/7 6/5	+0.376 ( -0.004)
			0.722 0.041 0.001 - 0.278 0.019 0.000
	3	4	13/6	+0.370 ( -0.011)
			0.720 0.040 0.001 - 0.280 0.018 0.000
	4	4	8/7 8/2	+0.328 ( -0.052)
			0.703 0.042 0.001 - 0.297 0.023 0.000
	5	4	8/2 6/5	+0.320 ( -0.060)
			0.700 0.042 0.001 - 0.300 0.024 0.000

Move number 15: Jason Lee to play 13

Pip counts: Aaron Wong 119, Jason Lee 134
Position ID: sHsHBwDY3oIBDA Match ID: UYnsAAAAAAAA

• Jason Lee moves 6/5 6/3

Cube decision
4-ply cubeless equity		-0.472	(Money: -0.470)
	0.276 0.018 0.000 - 0.724 0.039 0.001
Cubeful equities:
1.	No double	-0.380
2.	Double, pass	+1.000	+1.380
3.	Double, take	-1.765	-1.385
Proper cube action:		No redouble, take (50.1%)

#		Ply	Move	Equity
	1	4	7/3	-0.367
			0.279 0.019 0.000 - 0.721 0.034 0.001
•	2	4	6/5 6/3	-0.368 ( -0.000)
			0.279 0.018 0.000 - 0.721 0.034 0.001
	3	4	6/3 4/3	-0.369 ( -0.002)
			0.278 0.018 0.000 - 0.722 0.033 0.001
	4	4	6/2	-0.371 ( -0.003)
			0.278 0.018 0.000 - 0.722 0.034 0.001
	5	4	7/4 6/5	-0.371 ( -0.004)
			0.277 0.018 0.000 - 0.723 0.034 0.001

Move number 16: Aaron Wong to play 35

Pip counts: Aaron Wong 119, Jason Lee 130
Position ID: tNuCAQywewcHAA Match ID: EYH1AAAAAAAA

• Aaron Wong moves 13/5

#		Ply	Move	Equity
•	1	4	13/5	+0.436
			0.748 0.037 0.001 - 0.252 0.015 0.000
	2	4	8/5 7/2	+0.395 ( -0.041)
			0.730 0.042 0.001 - 0.270 0.018 0.000
	3	4	13/10 7/2	+0.366 ( -0.069)
			0.719 0.050 0.002 - 0.281 0.028 0.000
	4	4	8/5 6/1	+0.346 ( -0.090)
			0.710 0.043 0.001 - 0.290 0.022 0.000
	5	2	13/10 6/1	+0.320 ( -0.116)
			0.701 0.049 0.001 - 0.299 0.033 0.000

Move number 17: Jason Lee to play 45

Pip counts: Aaron Wong 111, Jason Lee 130
Position ID: cPcOBgC024IBDA Match ID: UQn2AAAAAAAA

• Jason Lee moves 7/3 7/2

Cube decision
4-ply cubeless equity		-0.520	(Money: -0.518)
	0.252 0.015 0.000 - 0.748 0.037 0.001
Cubeful equities:
1.	No double	-0.436
2.	Double, pass	+1.000	+1.436
3.	Double, take	-1.940	-1.505
Proper cube action:		No redouble, take (51.2%)

#		Ply	Move	Equity
	1	4	13/9 13/8	-0.386
			0.271 0.015 0.000 - 0.729 0.032 0.001
•	2	4	7/3 7/2	-0.386 ( -0.000)
			0.271 0.017 0.000 - 0.729 0.032 0.001
	3	4	8/3 7/3	-0.393 ( -0.007)
			0.268 0.016 0.000 - 0.732 0.033 0.001
	4	4	8/3 5/1	-0.399 ( -0.013)
			0.266 0.016 0.000 - 0.734 0.034 0.001
	5	4	8/4 7/2	-0.399 ( -0.013)
			0.267 0.015 0.000 - 0.733 0.034 0.001

Move number 18: Aaron Wong to play 15

Pip counts: Aaron Wong 111, Jason Lee 121
Position ID: 2m6CAQxw9w4GAA Match ID: EYH0AAAAAAAA

• Aaron Wong moves 7/1

#		Ply	Move	Equity
•	1	4	7/1	+0.387
			0.726 0.040 0.001 - 0.274 0.016 0.000
	2	4	7/6 7/2	+0.382 ( -0.005)
			0.725 0.039 0.001 - 0.275 0.017 0.000
	3	4	8/2	+0.373 ( -0.014)
			0.721 0.038 0.001 - 0.279 0.018 0.000
	4	4	7/2 6/5	+0.362 ( -0.025)
			0.717 0.039 0.001 - 0.283 0.018 0.000
	5	4	8/7 6/1	+0.294 ( -0.093)
			0.688 0.043 0.001 - 0.312 0.026 0.000

Move number 19: Jason Lee to play 46

Pip counts: Aaron Wong 105, Jason Lee 121
Position ID: 4e4OBgDaboIBDA Match ID: UQn6AAAAAAAA

• Jason Lee moves 8/2 5/1

Cube decision
4-ply cubeless equity		-0.478	(Money: -0.476)
	0.274 0.016 0.000 - 0.726 0.040 0.001
Cubeful equities:
1.	No double	-0.387
2.	Double, pass	+1.000	+1.387
3.	Double, take	-1.782	-1.395
Proper cube action:		No redouble, take (50.1%)

#		Ply	Move	Equity
	1	4	13/9 13/7	-0.338
			0.292 0.020 0.000 - 0.708 0.035 0.001
•	2	4	8/2 5/1	-0.339 ( -0.001)
			0.291 0.020 0.000 - 0.709 0.036 0.001
	3	4	13/9 8/2	-0.368 ( -0.029)
			0.282 0.021 0.000 - 0.718 0.042 0.001
	4	4	13/7 8/4	-0.380 ( -0.042)
			0.277 0.021 0.000 - 0.723 0.045 0.001
	5	4	8/2 6/2	-0.384 ( -0.046)
			0.276 0.016 0.000 - 0.724 0.042 0.001

Move number 20: Aaron Wong to play 35

Pip counts: Aaron Wong 105, Jason Lee 111
Position ID: bduAAQzh7g4GAA Match ID: EYH1AAAAAAAA

• Aaron Wong moves 7/2 5/2

Alert: doubtful move ( -0.060)

#		Ply	Move	Equity
	1	4	13/10 13/8	+0.349
			0.715 0.034 0.001 - 0.285 0.021 0.000
	2	4	8/5 6/1	+0.299 ( -0.050)
			0.691 0.037 0.000 - 0.309 0.019 0.000
•	3	4	7/2 5/2	+0.289 ( -0.060)
			0.687 0.039 0.000 - 0.313 0.022 0.000
	4	4	8/5 7/2	+0.285 ( -0.064)
			0.682 0.052 0.001 - 0.318 0.029 0.001
	5	4	6/1 5/2	+0.260 ( -0.089)
			0.675 0.042 0.000 - 0.325 0.027 0.000

Move number 21: Jason Lee to play 13

Pip counts: Aaron Wong 97, Jason Lee 111
Position ID: jd0OBgBt24ABDA Match ID: UYnsAAAAAAAA

• Jason Lee moves 5/1

Cube decision
4-ply cubeless equity		-0.393	(Money: -0.391)
	0.313 0.022 0.000 - 0.687 0.039 0.000
Cubeful equities:
1.	No double	-0.289
2.	Double, pass	+1.000	+1.289
3.	Double, take	-1.506	-1.217
Proper cube action:		No redouble, take (48.6%)

#		Ply	Move	Equity
	1	4	13/9	-0.287
			0.312 0.034 0.001 - 0.688 0.045 0.001
•	2	4	5/1	-0.290 ( -0.003)
			0.310 0.028 0.000 - 0.690 0.039 0.001
	3	4	13/10 2/1	-0.302 ( -0.014)
			0.307 0.032 0.000 - 0.693 0.046 0.001
	4	4	6/2	-0.338 ( -0.051)
			0.295 0.023 0.000 - 0.705 0.049 0.002
	5	4	6/5 4/1	-0.344 ( -0.057)
			0.292 0.024 0.000 - 0.708 0.048 0.002

Move number 22: Aaron Wong to play 34

Pip counts: Aaron Wong 97, Jason Lee 107
Position ID: 29aAAQyN3Q4GAA Match ID: EYHxAAAAAAAA

• Aaron Wong moves 8/1

#		Ply	Move	Equity
•	1	4	8/1	+0.350
			0.710 0.041 0.000 - 0.290 0.017 0.000
	2	4	8/5 6/2	+0.290 ( -0.060)
			0.687 0.041 0.001 - 0.313 0.024 0.000
	3	2	5/2 5/1	+0.149 ( -0.202)
			0.635 0.029 0.000 - 0.365 0.031 0.000
	4	2	8/4 7/4	+0.116 ( -0.234)
			0.621 0.087 0.002 - 0.379 0.087 0.001
	5	2	13/6	+0.081 ( -0.270)
			0.606 0.062 0.001 - 0.394 0.056 0.000

Move number 23: Jason Lee to play 46

Pip counts: Aaron Wong 90, Jason Lee 107
Position ID: G7sNBgDb1oABDA Match ID: UQn6AAAAAAAA

• Jason Lee moves 13/9 13/7

Cube decision
4-ply cubeless equity		-0.446	(Money: -0.444)
	0.290 0.017 0.000 - 0.710 0.041 0.000
Cubeful equities:
1.	No double	-0.350
2.	Double, pass	+1.000	+1.350
3.	Double, take	-1.668	-1.318
Proper cube action:		No redouble, take (49.4%)

#		Ply	Move	Equity
•	1	4	13/9 13/7	-0.350
			0.291 0.017 0.000 - 0.709 0.038 0.001
	2	4	13/3	-0.437 ( -0.087)
			0.262 0.017 0.000 - 0.738 0.062 0.001
	3	2	13/7 5/1	-0.435 ( -0.085)
			0.262 0.016 0.000 - 0.738 0.062 0.001
	4	2	13/7 6/2	-0.512 ( -0.162)
			0.232 0.013 0.000 - 0.768 0.065 0.001
	5	2	22/16 5/1	-0.664 ( -0.314)
			0.240 0.030 0.000 - 0.760 0.242 0.004

Move number 24: Aaron Wong to play 23

Pip counts: Aaron Wong 90, Jason Lee 97
Position ID: 29YSAAwbuw0GAA Match ID: EQHtAAAAAAAA

• Aaron Wong moves 13/8

#		Ply	Move	Equity
•	1	4	13/8	+0.334
			0.701 0.041 0.001 - 0.299 0.012 0.000
	2	4	8/6 8/5	+0.302 ( -0.032)
			0.686 0.040 0.000 - 0.314 0.013 0.000
	3	4	13/11 13/10	+0.298 ( -0.037)
			0.686 0.052 0.003 - 0.314 0.039 0.001
	4	4	6/1	+0.241 ( -0.093)
			0.667 0.033 0.000 - 0.333 0.017 0.000
	5	2	7/4 6/4	+0.112 ( -0.222)
			0.604 0.093 0.008 - 0.396 0.079 0.001

Move number 25: Jason Lee to play 15

Pip counts: Aaron Wong 85, Jason Lee 97
Position ID: G7sdBADb1hIADA Match ID: UYn0AAAAAAAA

• Jason Lee moves 9/4 7/6

Cube decision
4-ply cubeless equity		-0.434	(Money: -0.432)
	0.299 0.012 0.000 - 0.701 0.041 0.001
Cubeful equities:
1.	No double	-0.334
2.	Double, pass	+1.000	+1.334
3.	Double, take	-1.637	-1.303
Proper cube action:		No redouble, take (49.4%)

#		Ply	Move	Equity
	1	4	9/4 6/5	-0.404
			0.266 0.010 0.000 - 0.734 0.032 0.001
	2	4	7/2 6/5	-0.412 ( -0.008)
			0.263 0.010 0.000 - 0.737 0.034 0.001
	3	4	6/5 6/1	-0.415 ( -0.011)
			0.262 0.008 0.000 - 0.738 0.032 0.000
•	4	4	9/4 7/6	-0.423 ( -0.019)
			0.260 0.010 0.000 - 0.740 0.037 0.000
	5	4	9/3	-0.423 ( -0.019)
			0.259 0.009 0.000 - 0.741 0.035 0.001

Move number 26: Aaron Wong to play 11

Pip counts: Aaron Wong 85, Jason Lee 91
Position ID: 264DAAwbux0EAA Match ID: EYHkAAAAAAAA

• Aaron Wong moves 13/10 8/7

Alert: doubtful move ( -0.047)

#		Ply	Move	Equity
	1	4	13/12 8/5	+0.404
			0.731 0.050 0.000 - 0.269 0.010 0.000
	2	4	13/11 8/6	+0.364 ( -0.041)
			0.717 0.040 0.000 - 0.283 0.011 0.000
	3	4	13/12 8/7 5/4(2)	+0.364 ( -0.041)
			0.715 0.040 0.000 - 0.285 0.009 0.000
	4	4	8/5 6/5	+0.359 ( -0.045)
			0.712 0.046 0.000 - 0.288 0.011 0.000
•	5	4	13/10 8/7	+0.357 ( -0.047)
			0.716 0.037 0.000 - 0.284 0.010 0.000

Move number 27: Jason Lee to play 34

Pip counts: Aaron Wong 81, Jason Lee 91
Position ID: G7ubAADbrgMADA Match ID: UYnxAAAAAAAA

• Jason Lee moves 6/3 5/1

Cube decision
4-ply cubeless equity		-0.461	(Money: -0.459)
	0.284 0.010 0.000 - 0.716 0.037 0.000
Cubeful equities:
1.	No double	-0.357
2.	Double, pass	+1.000	+1.357
3.	Double, take	-1.744	-1.386
Proper cube action:		No redouble, take (50.5%)

#		Ply	Move	Equity
•	1	4	6/3 5/1	-0.466
			0.240 0.006 0.000 - 0.760 0.031 0.000
	2	4	6/2 4/1	-0.468 ( -0.002)
			0.242 0.006 0.000 - 0.758 0.037 0.000
	3	4	6/2 5/2	-0.474 ( -0.008)
			0.238 0.006 0.000 - 0.762 0.033 0.000
	4	4	5/1 4/1	-0.487 ( -0.021)
			0.233 0.005 0.000 - 0.767 0.035 0.000
	5	4	6/3 6/2	-0.502 ( -0.036)
			0.231 0.008 0.000 - 0.769 0.048 0.001

Move number 28: Aaron Wong to play 34

Pip counts: Aaron Wong 81, Jason Lee 84
Position ID: tzsDAAwbu5sAAA Match ID: EYHxAAAAAAAA

• Aaron Wong moves 10/7 6/2

#		Ply	Move	Equity
•	1	4	10/7 6/2	+0.340
			0.711 0.022 0.000 - 0.289 0.006 0.000
	2	4	10/6 7/4	+0.294 ( -0.046)
			0.684 0.054 0.000 - 0.316 0.016 0.000
	3	2	7/4 6/2	+0.161 ( -0.179)
			0.640 0.060 0.000 - 0.360 0.060 0.001
	4	2	8/4 7/4	+0.158 ( -0.182)
			0.643 0.052 0.000 - 0.357 0.057 0.001
	5	2	5/2 5/1	+0.108 ( -0.232)
			0.618 0.021 0.000 - 0.382 0.014 0.000

Move number 29: Jason Lee to play 15

Pip counts: Aaron Wong 74, Jason Lee 84
Position ID: O7Y3AAC3OwMADA Match ID: UYn0AAAAAAAA

• Jason Lee moves 22/16

Cube decision
4-ply cubeless equity		-0.439	(Money: -0.438)
	0.289 0.006 0.000 - 0.711 0.022 0.000
Cubeful equities:
1.	No double	-0.340
2.	Double, pass	+1.000	+1.340
3.	Double, take	-1.670	-1.330
Proper cube action:		No redouble, take (49.8%)

#		Ply	Move	Equity
•	1	4	22/16	-0.377
			0.276 0.010 0.000 - 0.724 0.028 0.000
	2	4	6/5 6/1	-0.409 ( -0.032)
			0.263 0.006 0.000 - 0.737 0.028 0.000
	3	4	6/1 3/2	-0.419 ( -0.042)
			0.259 0.006 0.000 - 0.741 0.029 0.000
	4	4	6/1 4/3	-0.429 ( -0.052)
			0.255 0.006 0.000 - 0.745 0.029 0.000
	5	4	6/1 2/1	-0.471 ( -0.094)
			0.241 0.006 0.000 - 0.759 0.037 0.000

Move number 30: Aaron Wong to play 16

Pip counts: Aaron Wong 74, Jason Lee 78
Position ID: tzsDEAg7tjcAAA Match ID: EYH4AAAAAAAA

• Aaron Wong moves 7/6 7/1

#		Ply	Move	Equity
•	1	2	7/6 7/1	+0.331
			0.711 0.008 0.000 - 0.289 0.004 0.000
	2	2	7/1 2/1	+0.182 ( -0.148)
			0.650 0.007 0.000 - 0.350 0.008 0.000
	3	2	8/7 8/2	+0.071 ( -0.260)
			0.604 0.005 0.000 - 0.396 0.008 0.000
	4	0	8/2 7/6	-0.144 ( -0.475)
			0.511 0.016 0.000 - 0.489 0.019 0.000
	5	0	8/1	-0.220 ( -0.551)
			0.482 0.013 0.000 - 0.518 0.026 0.000

Move number 31: Jason Lee to play 24

Pip counts: Aaron Wong 67, Jason Lee 78
Position ID: d+w2AAC3OwMQCA Match ID: UQnxAAAAAAAA

• Jason Lee moves 16/10

Cube decision
4-ply cubeless equity		-0.417	(Money: -0.417)
	0.294 0.003 0.000 - 0.706 0.007 0.000
Cubeful equities:
1.	No double	-0.320
2.	Double, pass	+1.000	+1.320
3.	Double, take	-1.639	-1.318
Proper cube action:		No redouble, take (50.0%)

#		Ply	Move	Equity
•	1	4	16/10	-0.428
			0.250 0.003 0.000 - 0.750 0.010 0.000
	2	4	16/12 4/2	-0.461 ( -0.033)
			0.238 0.003 0.000 - 0.762 0.015 0.000
	3	4	16/12 3/1	-0.479 ( -0.051)
			0.230 0.003 0.000 - 0.770 0.015 0.000
	4	4	16/12 6/4	-0.501 ( -0.073)
			0.223 0.003 0.000 - 0.777 0.023 0.000
	5	2	16/14 6/2	-0.545 ( -0.117)
			0.207 0.006 0.000 - 0.793 0.032 0.000

Move number 32: Aaron Wong to play 34

Pip counts: Aaron Wong 67, Jason Lee 72
Position ID: tztDAAh37DYAAA Match ID: EYHxAAAAAAAA

• Aaron Wong moves 7/3* 6/3

#		Ply	Move	Equity
•	1	0	7/3* 6/3	+0.582
			0.814 0.023 0.000 - 0.186 0.008 0.000
	2	0	5/2 5/1	+0.025 ( -0.557)
			0.582 0.002 0.000 - 0.418 0.002 0.000
	3	0	8/5 7/3*	+0.024 ( -0.558)
			0.601 0.027 0.000 - 0.399 0.082 0.001
	4	0	8/5 8/4	-0.061 ( -0.643)
			0.545 0.009 0.000 - 0.455 0.008 0.000
	5	0	8/5 6/2	-0.148 ( -0.730)
			0.512 0.005 0.000 - 0.488 0.015 0.000

Move number 33: Jason Lee to play 22

Pip counts: Aaron Wong 60, Jason Lee 75
Position ID: d7M1AAC3O0MAQA Match ID: UQnpAAAAAAAA

• Jason Lee cannot move

Cube decision
4-ply cubeless equity		-0.674	(Money: -0.673)
	0.171 0.003 0.000 - 0.829 0.018 0.000
Cubeful equities:
1.	No double	-0.620
2.	Double, pass	+1.000	+1.620
3.	Double, take	-1.881	-1.261
Proper cube action:		No redouble, take (43.8%)

#		Ply	Move	Equity
			Cannot move

Move number 34: Aaron Wong to play 16

Pip counts: Aaron Wong 60, Jason Lee 75
Position ID: tztDAEB3szUAAA Match ID: EYH4AAAAAAAA

• Aaron Wong moves 8/7 8/2

Alert: doubtful move ( -0.055)

#		Ply	Move	Equity
	1	4	8/2 7/6	+0.805
			0.907 0.020 0.000 - 0.093 0.000 0.000
•	2	4	8/7 8/2	+0.750 ( -0.055)
			0.887 0.014 0.000 - 0.113 0.001 0.000
	3	4	7/1 2/1	+0.712 ( -0.093)
			0.871 0.013 0.000 - 0.129 0.001 0.000
	4	2	8/1	+0.678 ( -0.127)
			0.855 0.015 0.000 - 0.145 0.006 0.000
	5	0	7/1 6/5	+0.115 ( -0.690)
			0.624 0.018 0.000 - 0.376 0.028 0.000

Move number 35: Jason Lee to play 45

Pip counts: Aaron Wong 53, Jason Lee 75
Position ID: 92YbAAC3O0MAQA Match ID: UQn2AAAAAAAA

• Jason Lee moves bar/21 10/5

Cube decision
4-ply cubeless equity		-0.788	(Money: -0.787)
	0.113 0.001 0.000 - 0.887 0.014 0.000
Cubeful equities:
1.	No double	-0.750
2.	Double, pass	+1.000	+1.750
3.	Double, take	-2.051	-1.301
Proper cube action:		No redouble, take (42.6%)

#		Ply	Move	Equity
•	1	4	bar/21 10/5	-0.614
			0.169 0.000 0.000 - 0.831 0.004 0.000
	2	4	bar/21 6/1	-0.698 ( -0.084)
			0.138 0.000 0.000 - 0.862 0.016 0.000
	3	4	bar/16	-0.699 ( -0.085)
			0.131 0.000 0.000 - 0.869 0.000 0.000

Move number 36: Aaron Wong to play 15

Pip counts: Aaron Wong 53, Jason Lee 66
Position ID: t7sGAAT3ZhsAAA Match ID: EYH0AAAAAAAA

• Aaron Wong moves 7/6 7/2

#		Ply	Move	Equity
•	1	2	7/6 7/2	+0.565
			0.812 0.001 0.000 - 0.188 0.000 0.000
	2	2	6/5 6/1	+0.370 ( -0.195)
			0.729 0.001 0.000 - 0.271 0.001 0.000
	3	0	7/1	+0.084 ( -0.481)
			0.608 0.001 0.000 - 0.392 0.003 0.000
	4	0	7/2 3/2	-0.049 ( -0.614)
			0.552 0.001 0.000 - 0.448 0.005 0.000
	5	0	6/1 2/1	-0.115 ( -0.680)
			0.523 0.001 0.000 - 0.477 0.004 0.000

Move number 37: Jason Lee to play 13

Pip counts: Aaron Wong 47, Jason Lee 66
Position ID: 980OAAC3uwYABA Match ID: UYnsAAAAAAAA

• Jason Lee moves 6/5 6/3

Cube decision
4-ply cubeless equity		-0.617	(Money: -0.617)
	0.192 0.000 0.000 - 0.808 0.001 0.000
Cubeful equities:
1.	No double	-0.557
2.	Double, pass	+1.000	+1.557
3.	Double, take	-1.891	-1.333
Proper cube action:		No redouble, take (46.1%)

#		Ply	Move	Equity
	1	4	4/1 3/2	-0.704
			0.129 0.000 0.000 - 0.871 0.005 0.000
•	2	4	6/5 6/3	-0.704 ( -0.000)
			0.129 0.000 0.000 - 0.871 0.003 0.000
	3	4	6/5 4/1	-0.723 ( -0.019)
			0.121 0.000 0.000 - 0.879 0.005 0.000
	4	4	6/2	-0.731 ( -0.027)
			0.119 0.000 0.000 - 0.881 0.006 0.000
	5	4	5/2 4/3	-0.737 ( -0.034)
			0.114 0.000 0.000 - 0.886 0.004 0.000

Move number 38: Aaron Wong to play 25

Pip counts: Aaron Wong 47, Jason Lee 62
Position ID: t3cDAAT3zQ4AAA Match ID: EQH1AAAAAAAA

• Aaron Wong moves 6/1 2/off

#		Ply	Move	Equity
•	1	4	6/1 2/off	+0.748
			0.890 0.001 0.000 - 0.110 0.000 0.000
	2	4	5/3 5/off	+0.671 ( -0.077)
			0.857 0.001 0.000 - 0.143 0.000 0.000
	3	2	6/1 3/1	+0.592 ( -0.156)
			0.823 0.000 0.000 - 0.177 0.000 0.000
	4	0	5/off 2/off	+0.287 ( -0.461)
			0.694 0.001 0.000 - 0.306 0.000 0.000
	5	0	5/off 3/1	+0.150 ( -0.599)
			0.635 0.000 0.000 - 0.365 0.000 0.000

Move number 39: Jason Lee to play 36

Pip counts: Aaron Wong 40, Jason Lee 62
Position ID: 780GAIDbuwEAAg Match ID: UYn5AAAAAAAA

• Jason Lee moves 21/12

Cube decision
4-ply cubeless equity		-0.781	(Money: -0.781)
	0.110 0.000 0.000 - 0.890 0.001 0.000
Cubeful equities:
1.	No double	-0.748
2.	Double, pass	+1.000	+1.748
3.	Double, take	-1.978	-1.230
Proper cube action:		No redouble, take (41.3%)

#		Ply	Move	Equity
•	1	4	21/12	-0.752
			0.108 0.000 0.000 - 0.892 0.000 0.000
	2	4	21/15 5/2	-0.825 ( -0.073)
			0.076 0.000 0.000 - 0.924 0.000 0.000
	3	4	21/15 4/1	-0.837 ( -0.084)
			0.071 0.000 0.000 - 0.929 0.000 0.000

Move number 40: Aaron Wong to play 56

Pip counts: Aaron Wong 40, Jason Lee 53
Position ID: t3cDAgDvzQYAAA Match ID: EYH6AAAAAAAA

• Aaron Wong moves 6/off 5/off

#		Ply	Move	Equity
•	1	4	6/off 5/off	+0.835
			0.928 0.000 0.000 - 0.072 0.000 0.000
	2	4	6/1 6/off	+0.728 ( -0.107)
			0.881 0.000 0.000 - 0.119 0.000 0.000

Move number 41: Jason Lee to play 13

Pip counts: Aaron Wong 29, Jason Lee 53
Position ID: 700BAOD2bkAAAA Match ID: UYnsAAAAAAAA

• Jason Lee moves 12/8

Cube decision
4-ply cubeless equity		-0.856	(Money: -0.856)
	0.072 0.000 0.000 - 0.928 0.000 0.000
Cubeful equities:
1.	No double	-0.835
2.	Double, pass	+1.000	+1.835
3.	Double, take	-2.028	-1.193
Proper cube action:		No redouble, take (39.4%)

#		Ply	Move	Equity
•	1	4	12/8	-0.938
			0.027 0.000 0.000 - 0.973 0.000 0.000
	2	4	12/9 5/4	-0.939 ( -0.001)
			0.027 0.000 0.000 - 0.973 0.000 0.000
	3	4	12/9 4/3	-0.946 ( -0.008)
			0.024 0.000 0.000 - 0.976 0.000 0.000
	4	4	12/9 3/2	-0.946 ( -0.008)
			0.023 0.000 0.000 - 0.977 0.000 0.000
	5	4	12/9 2/1	-0.949 ( -0.011)
			0.022 0.000 0.000 - 0.978 0.000 0.000

Move number 42: Aaron Wong to play 14

Pip counts: Aaron Wong 29, Jason Lee 49
Position ID: t3cjAADvTQEAAA Match ID: EYHwAAAAAAAA

• Aaron Wong moves 6/2 1/off

#		Ply	Move	Equity
	1	4	5/off	+0.889
			0.952 0.000 0.000 - 0.048 0.000 0.000
•	2	4	6/2 1/off	+0.888 ( -0.001)
			0.951 0.000 0.000 - 0.049 0.000 0.000
	3	4	6/2 5/4	+0.875 ( -0.013)
			0.946 0.000 0.000 - 0.054 0.000 0.000
	4	4	6/1	+0.808 ( -0.081)
			0.916 0.000 0.000 - 0.084 0.000 0.000
	5	4	6/2 3/2	+0.799 ( -0.090)
			0.913 0.000 0.000 - 0.087 0.000 0.000

Move number 43: Jason Lee to play 35

Pip counts: Aaron Wong 24, Jason Lee 49
Position ID: 900AAHB7NwIAAA Match ID: UYn1AAAAAAAA

• Jason Lee moves 8/off

Cube decision
4-ply cubeless equity		-0.902	(Money: -0.902)
	0.049 0.000 0.000 - 0.951 0.000 0.000
Cubeful equities:
1.	No double	-0.888
2.	Double, pass	+1.000	+1.888
3.	Double, take	-2.061	-1.173
Proper cube action:		No redouble, take (38.3%)

#		Ply	Move	Equity
•	1	4	8/off	-0.925
			0.033 0.000 0.000 - 0.967 0.000 0.000
	2	4	8/3 5/2	-0.976 ( -0.051)
			0.010 0.000 0.000 - 0.990 0.000 0.000
	3	4	8/3 4/1	-0.981 ( -0.055)
			0.008 0.000 0.000 - 0.992 0.000 0.000

Move number 44: Aaron Wong to play 34

Pip counts: Aaron Wong 24, Jason Lee 41
Position ID: t3cDAID7JgAAAA Match ID: EYHxAAAAAAAA

• Aaron Wong moves 5/1 3/off

#		Ply	Move	Equity
•	1	4	5/1 3/off	+0.911
			0.962 0.000 0.000 - 0.038 0.000 0.000
	2	4	5/2 3/off	+0.896 ( -0.015)
			0.955 0.000 0.000 - 0.045 0.000 0.000

Move number 45: Jason Lee to play 46

Pip counts: Aaron Wong 17, Jason Lee 41
Position ID: 7wsAALi9GwAAAA Match ID: UQn6AAAAAAAA

• Jason Lee moves 5/off 4/off

Cube decision
4-ply cubeless equity		-0.923	(Money: -0.923)
	0.038 0.000 0.000 - 0.962 0.000 0.000
Cubeful equities:
1.	No double	-0.911
2.	Double, pass	+1.000	+1.911
3.	Double, take	-2.061	-1.149
Proper cube action:		No redouble, take (37.5%)

#		Ply	Move	Equity
•	1	4	5/off 4/off	-0.941
			0.028 0.000 0.000 - 0.972 0.000 0.000
	2	4	5/1 5/off	-0.987 ( -0.046)
			0.006 0.000 0.000 - 0.994 0.000 0.000

Move number 46: Aaron Wong to play 36

Pip counts: Aaron Wong 17, Jason Lee 32
Position ID: t7cAAOB9AQAAAA Match ID: EYH5AAAAAAAA

• Aaron Wong moves 3/off 2/off

#		Ply	Move	Equity
•	1	0	3/off 2/off	+0.927
			0.968 0.000 0.000 - 0.032 0.000 0.000

Move number 47: Jason Lee to play 45

Pip counts: Aaron Wong 12, Jason Lee 32
Position ID: 7wEAAG5vAQAAAA Match ID: UQn2AAAAAAAA

• Jason Lee moves 5/off 4/off

Cube decision
4-ply cubeless equity		-0.937	(Money: -0.937)
	0.032 0.000 0.000 - 0.968 0.000 0.000
Cubeful equities:
1.	No double	-0.933
2.	Double, pass	+1.000	+1.933
3.	Double, take	-2.061	-1.127
Proper cube action:		No redouble, take (36.8%)

#		Ply	Move	Equity
•	1	4	5/off 4/off	-0.953
			0.023 0.000 0.000 - 0.977 0.000 0.000
	2	4	5/1 4/off	-0.995 ( -0.042)
			0.003 0.000 0.000 - 0.997 0.000 0.000

Move number 48: Aaron Wong to play 14

Pip counts: Aaron Wong 12, Jason Lee 23
Position ID: txcAAHgPAAAAAA Match ID: EYHwAAAAAAAA

• Aaron Wong moves 2/off 1/off

#		Ply	Move	Equity
•	1	0	2/off 1/off	+0.935
			0.972 0.000 0.000 - 0.028 0.000 0.000
	2	0	2/1 2/off	+0.468 ( -0.467)
			0.768 0.000 0.000 - 0.232 0.000 0.000

Move number 49: Jason Lee to play 16

Pip counts: Aaron Wong 9, Jason Lee 23
Position ID: dwAAgNsLAAAAAA Match ID: UYn4AAAAAAAA

• Jason Lee moves 4/off 1/off

Cube decision
4-ply cubeless equity		-0.943	(Money: -0.943)
	0.028 0.000 0.000 - 0.972 0.000 0.000
Cubeful equities:
1.	No double	-0.943
2.	Double, pass	+1.000	+1.943
3.	Double, take	-2.061	-1.117
Proper cube action:		No redouble, take (36.5%)

#		Ply	Move	Equity
•	1	4	4/off 1/off	-0.977
			0.011 0.000 0.000 - 0.989 0.000 0.000
	2	4	4/off	-1.000 ( -0.023)
			0.000 0.000 0.000 - 1.000 0.000 0.000
	3	4	4/off 2/1	-1.000 ( -0.023)
			0.000 0.000 0.000 - 1.000 0.000 0.000
	4	4	4/off 3/2	-1.000 ( -0.023)
			0.000 0.000 0.000 - 1.000 0.000 0.000

Move number 50: Aaron Wong to play 13

Pip counts: Aaron Wong 9, Jason Lee 18
Position ID: 2wMAAO4AAAAAAA Match ID: EYHsAAAAAAAA

• Aaron Wong moves 2/off 1/off

#		Ply	Move	Equity
•	1	0	2/off 1/off	+0.970
			0.987 0.000 0.000 - 0.013 0.000 0.000
	2	0	2/1 2/off	+0.511 ( -0.459)
			0.787 0.000 0.000 - 0.213 0.000 0.000

Move number 51: Jason Lee to play 25

Pip counts: Aaron Wong 6, Jason Lee 18
Position ID: GwAAYHsAAAAAAA Match ID: UQn1AAAAAAAA

• Jason Lee moves 3/off 2/off

Cube decision
4-ply cubeless equity		-0.973	(Money: -0.973)
	0.013 0.000 0.000 - 0.987 0.000 0.000
Cubeful equities:
1.	No double	-0.973
2.	Double, pass	+1.000	+1.973
3.	Double, take	-2.061	-1.087
Proper cube action:		No redouble, take (35.5%)

#		Ply	Move	Equity
•	1	4	3/off 2/off	-1.000
			0.000 0.000 0.000 - 1.000 0.000 0.000
	2	4	3/1 3/off	-1.000 ( +0.000)
			0.000 0.000 0.000 - 1.000 0.000 0.000

Move number 52: Aaron Wong to play 66

Pip counts: Aaron Wong 6, Jason Lee 13
Position ID: 6wAAgA0AAAAAAA Match ID: EQH7AAAAAAAA

• Aaron Wong moves 2/off(2) 1/off(2)

#		Ply	Move	Equity
•	1	0	2/off(2) 1/off(2)	+1.000
			1.000 0.000 0.000 - 0.000 0.000 0.000

Aaron Wong wins 2 points

Game statistics for game 1
Player	Aaron Wong	Jason Lee
Checker play statistics
Total moves	26	25
Unforced moves	24	24
Unmarked moves	0	0
Moves marked good	23	24
Moves marked doubtful	3	1
Moves marked bad	0	0
Moves marked very bad	0	0
Error rate (total)	-0.166 ( -2.138%)	-0.099 ( -0.782%)
Error rate (per move)	-6.9 ( -0.089%)	-4.1 ( -0.033%)
Chequerplay rating	Expert	World class
Luck statistics
Rolls marked very lucky	0	0
Rolls marked lucky	0	0
Rolls unmarked	26	25
Rolls marked unlucky	0	0
Rolls marked very unlucky	0	0
Luck rate (total)	+0.245 ( +0.159%)	-1.016 (-12.412%)
Luck rate (per move)	+9.4 ( +0.006%)	-40.7 ( -0.496%)
Luck rating	None	Better luck next time
Cube statistics
Total cube decisions	5	26
Close or actual cube decisions	4	1
Doubles	1	0
Takes	0	1
Passes	0	0
Missed doubles (below CP)	0	0
Missed doubles (above CP)	0	0
Wrong doubles (below DP)	1 (-0.050 ( -0.315%))	0
Wrong doubles (above TG)	0	0
Wrong takes	0	0
Wrong passes	0	0
Error rate (total)	-0.050 ( -0.315%)	+0.000
Error rate (per cube decision)	-12.5 ( -0.079%)	-0.0
Cube decision rating	Intermediate	Supernatural
Overall statistics
Error rate (total)	-0.216 ( -2.453%)	-0.099 ( -0.782%)
Error rate (per decision)	-7.7 ( -0.088%)	-4.0 ( -0.031%)
Equiv. Snowie error rate	-4.2	-1.9
Overall rating	Expert	World class
Actual result	+12.87%	-12.87%
Luck adjusted result	+0.30%	-0.30%

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Output generated Tue Dec 09 21:02:49 2008 by GNU Backgammon 0.15-mingw (HTML Export version 1.172)