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ACBL Unit 159 Sectionals and Events
11:00 AM ♦ Unit Championship Game
Wednesday, July 29, 2015

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Event: Wednesday Morning	Session: Wednesday Mor	Movement: MITCHELL
Date: July 29, 2015	Rating: Unit Championship	Section: A
Club No: 202150	Club: Amigo Homestyle BC	Dir: Jack Neuman
MP Limits: None/2000/750	Average: 84	Top: 6

Field strength: Mean: 2224 MP
Geomean: 1007 MP
(based on 32 players)

Section A North-South - Pairs in strats: A=8 / B=5 / C=2

Group the Results

Overall

Section

A

B

C

A

B

C

N-S

3

A

1

-

-

1

-

-

103.50

61.61

2.63

Herbert Woods Jr

N-S

6

A

2

-

-

2

-

-

96.00

57.14

1.97

N-S

2

B

3/4

1

-

3/4

1

-

93.00

55.36

1.52

Catherine Tompkins

Selina Whitworth

N-S

8

A

3/4

-

-

3/4

-

-

93.00

55.36

1.30

Frances Deregibus

N-S

5

B

-

-

-

-

2

-

82.50

49.11

0.50

N-S

4

B

-

-

-

-

-

-

78.00

46.43

Susan Hjalmquist

N-S

1

C

-

-

-

-

-

1

65.00

38.69

0.46

Patricia Handly

N-S

7

C

-

-

-

-

-

-

61.00

36.31

Section A East-West - Pairs in strats: A=8 / B=6 / C=3

Group the Results

Overall

Section

A

B

C

A

B

C

E-W

1

A

5/6

-

-

1/2

-

-

92.00

54.76

1.12

E-W

8

C

5/6

2

1

1/2

1

1

92.00

54.76

1.14

E-W

3

B

-

3

-

3

2

-

88.00

52.38

0.86

E-W

6

B

-

4

-

-

-

-

84.00

50.00

0.64

E-W

2

B

-

-

-

-

-

-

83.00

49.40

E-W

4

C

-

-

2

-

-

-

80.00

47.62

0.75

Jerald Gershowitz

E-W

7

C

-

-

-

-

-

-

79.00

47.02

Stephen Nordberg

E-W

5

A

-

-

-

-

-

-

74.00

44.05

16 pairs - Pairs in strats: A=16 / B=11 / C=5

1

♠T543
♥K54
♦8
♣T9643

Dlr: North
Vul: None

♠AJ76
♥983
♦T743
♣Q2

♠K82
♥76
♦AQJ2
♣AJ85

♠Q9
♥AQJT2
♦K965
♣K7

	3
7		15
	15

Double Dummy Makes

	♣	♦	♥	♠	NT
North	6	4	8	5	6
South	6	4	8	5	6
East	7	8	5	7	7
West	7	8	5	7	7

LoTT: 16 - 16 = 0
Par: 100 2N*-EW-1/2S*-EW-1/2C*-EW-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		5.00	1.00	2♥	S	3	+1	7-Banta-Handly	5-Liguori-Nordberg
140		5.00	1.00	2♥	S	3	+1	5-Deregibus-Saad	8-Crews-Osborn
140		5.00	1.00	3♥	S	3	+1	3-Esch-Black	4-Myers-Myers
110		2.50	3.50	2♥	S	2	-	1-Wade-Hjalmquist	1-Craig-Craig
110		2.50	3.50	2♥	S	2	-	6-Woods Jr-Georges	3-Glimp-Hardie
90		1.00	5.00	3♥	S	-1	-	4-Pruett-Friedman	6-Stockwell-Bhakta
	100	0.00	6.00	3N	S	-2	+1	8-Tompkins-Whitworth	7-Lavis-Gershowitz

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

2

♠AK4
♥KQJ
♦Q63
♣A853

Dlr: East
Vul: N-S

♠Q53
♥9752
♦T85
♣Q62

♠T976
♥A64
♦A74
♣KJT

♠J82
♥T83
♦KJ92
♣974

	19
4		12
	5

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	9	8	8	8
South	8	9	8	8	8
East	5	4	5	5	5
West	5	4	5	5	5

LoTT: 14 - 14 = 0
Par: 120 2N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
600		6.00	0.00	3N	N	3	+1	8-Tompkins-Whitworth	7-Lavis-Gershowitz
120		5.00	1.00	1N	N	2	-	6-Woods Jr-Georges	3-Glimp-Hardie
90		3.00	3.00	1N	S	1	-1	1-Wade-Hjalmquist	1-Craig-Craig
90		3.00	3.00	1N	N	1	-1	5-Deregibus-Saad	8-Crews-Osborn
90		3.00	3.00	1N	N	1	-1	4-Pruett-Friedman	6-Stockwell-Bhakta
	100	0.50	5.50	2N	N	-1	-1	7-Banta-Handly	5-Liguori-Nordberg
	100	0.50	5.50	3♦	S	-1	-1	3-Esch-Black	4-Myers-Myers

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

3

♠742
♥J96
♦K83
♣J432

Dlr: South
Vul: E-W

♠JT965
♥AQ873
♦T5
♣A

♠AK3
♥KT
♦96
♣T98765

♠Q8
♥542
♦AQJ742
♣KQ

	5
11		10
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	6	2	1	2
South	3	6	2	1	2
East	9	6	11	11	7
West	9	6	11	11	7

LoTT: 17 - 17 = 0
Par: -650 5S-EW/5H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	100	6.00	0.00	3♦	S	-2	+1	8-Tompkins-Whitworth	7-Lavis-Gershowitz
	200	4.00	2.00	3♠	W	5	-	6-Woods Jr-Georges	3-Glimp-Hardie
	200	4.00	2.00	2♠	W	5	-	5-Deregibus-Saad	8-Crews-Osborn
	200	4.00	2.00	3♠	W	5	-	3-Esch-Black	4-Myers-Myers
	650	1.50	4.50	4♠	E	5	-	1-Wade-Hjalmquist	1-Craig-Craig
	650	1.50	4.50	4♠	E	5	-	7-Banta-Handly	5-Liguori-Nordberg
	680	0.00	6.00	4♠	W	6	-1	4-Pruett-Friedman	6-Stockwell-Bhakta

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

4

♠K9643
♥3
♦AQ7
♣A764

Dlr: West
Vul: Both

♠J85
♥982
♦K98
♣J932

♠Q72
♥AK65
♦J652
♣Q8

♠AT
♥QJT74
♦T43
♣KT5

	13
5		12
	10

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	9	9	9	9
South	9	9	9	9	9
East	4	4	2	4	4
West	4	4	2	4	4

LoTT: 13 - 14 = -1
Par: 600 3N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		6.00	0.00	2♠	N	5	+2	3-Esch-Black	4-Myers-Myers
180		4.50	1.50	1N	S	4	+1	8-Tompkins-Whitworth	7-Lavis-Gershowitz
180		4.50	1.50	2N	S	4	+1	6-Woods Jr-Georges	3-Glimp-Hardie
170		3.00	3.00	2♥	S	4	+1	4-Pruett-Friedman	6-Stockwell-Bhakta
140		2.00	4.00	3♠	N	3	-	5-Deregibus-Saad	8-Crews-Osborn
110		1.00	5.00	2♥	S	2	-1	7-Banta-Handly	5-Liguori-Nordberg
	100	0.00	6.00	4♠	N	-1	-	1-Wade-Hjalmquist	1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

5

♠A54
♥K7654
♦82
♣K73

Dlr: North
Vul: N-S

♠62
♥2
♦QJT976
♣QJ84

♠KQJT83
♥A93
♦4
♣A96

♠97
♥QJT8
♦AK53
♣T52

	10
6		14
	10

Double Dummy Makes

	♣	♦	♥	♠	NT
North	4	3	8	3	6
South	4	3	8	3	5
East	8	9	5	9	6
West	8	9	5	9	6

LoTT: 17 - 17 = 0
Par: -140 3S-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	130	6.00	0.00	4♦	W	4	-1	8-Tompkins-Whitworth	6-Stockwell-Bhakta
	140	4.00	2.00	2♠	E	3	-	2-Searcy-Lyons	2-Peca Jr-Bunge
	140	4.00	2.00	3♠	E	3	-	1-Wade-Hjalmquist	8-Crews-Osborn
	140	4.00	2.00	3♠	E	3	-	6-Woods Jr-Georges	1-Craig-Craig
	170	2.00	4.00	3♠	E	4	-1	5-Deregibus-Saad	7-Lavis-Gershowitz
	200	1.00	5.00	2♠	E	5	-2	4-Pruett-Friedman	5-Liguori-Nordberg
	420	0.00	6.00	4♠	E	4	-1	7-Banta-Handly	4-Myers-Myers

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

6

♠QT42
♥32
♦7432
♣765

Dlr: East
Vul: E-W

♠-
♥J97
♦QJT95
♣KQT92

♠KJ97
♥KQT84
♦K8
♣84

♠A8653
♥A65
♦A6
♣AJ3

	2
9		12
	17

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	3	4	7	4
South	4	3	4	7	4
East	9	9	9	6	9
West	9	9	9	6	7

LoTT: 16 - 17 = -1
Par: -500 4S*-NS-3

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		5.50	0.50	5♥*	E	-1	-1	8-Tompkins-Whitworth	6-Stockwell-Bhakta
200		5.50	0.50	4♥*	E	-1	-	4-Pruett-Friedman	5-Liguori-Nordberg
	130	4.00	2.00	2♦	W	4	-1	5-Deregibus-Saad	7-Lavis-Gershowitz
	140	2.50	3.50	3♥	E	3	-	1-Wade-Hjalmquist	8-Crews-Osborn
	140	2.50	3.50	3♥	E	3	-	7-Banta-Handly	4-Myers-Myers
	150	1.00	5.00	3♠	S	-3	-1	6-Woods Jr-Georges	1-Craig-Craig
	1400	0.00	6.00	5♦*	N	-6	+2	2-Searcy-Lyons	2-Peca Jr-Bunge

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

7

♠42
♥QT85
♦765
♣AK32

Dlr: South
Vul: Both

♠T75
♥A94
♦T32
♣JT96

♠QJ3
♥K6
♦AQ98
♣Q875

♠AK986
♥J732
♦KJ4
♣4

	9
5		14
	12

Double Dummy Makes

	♣	♦	♥	♠	NT
North	7	7	10	8	8
South	7	7	10	8	8
East	6	6	3	4	5
West	6	6	3	4	5

LoTT: 16 - 16 = 0
Par: 620 4H-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		6.00	0.00	2♣	W	-2	-	7-Banta-Handly	4-Myers-Myers
170		4.50	1.50	3♥	S	4	-	6-Woods Jr-Georges	1-Craig-Craig
170		4.50	1.50	3♥	S	4	-	4-Pruett-Friedman	5-Liguori-Nordberg
140		2.50	3.50	3♥	S	3	-1	2-Searcy-Lyons	2-Peca Jr-Bunge
140		2.50	3.50	3♥	S	3	-1	8-Tompkins-Whitworth	6-Stockwell-Bhakta
120		1.00	5.00	1N	N	2	-	1-Wade-Hjalmquist	8-Crews-Osborn
90		0.00	6.00	1N	N	1	-1	5-Deregibus-Saad	7-Lavis-Gershowitz

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

8

♠J654
♥K95
♦Q954
♣42

Dlr: West
Vul: None

♠A982
♥8
♦87
♣QJ9853

♠Q
♥AQJ764
♦62
♣AT76

♠KT73
♥T32
♦AKJT3
♣K

	6
7		13
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	0	6	3	8	4
South	0	6	3	7	4
East	11	5	10	5	8
West	11	5	10	5	8

LoTT: 17 - 19 = -2
Par: -400 5C-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	50	5.50	0.50	3♠	N	-1	-	1-Wade-Hjalmquist	8-Crews-Osborn
	50	5.50	0.50	3♦	S	-1	+2	7-Banta-Handly	4-Myers-Myers
	100	4.00	2.00	3♦	S	-2	+1	4-Pruett-Friedman	5-Liguori-Nordberg
	140	3.00	3.00	2♥	E	3	+1	2-Searcy-Lyons	2-Peca Jr-Bunge
	150	1.00	5.00	4♣	W	5	-	8-Tompkins-Whitworth	6-Stockwell-Bhakta
	150	1.00	5.00	4♣	W	5	-	6-Woods Jr-Georges	1-Craig-Craig
	150	1.00	5.00	4♣	W	5	-	5-Deregibus-Saad	7-Lavis-Gershowitz

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

9

♠AT
♥AQ86
♦AQ5
♣JT98

Dlr: North
Vul: E-W

♠-
♥J7542
♦K9762
♣Q74

♠QJ9643
♥KT
♦T43
♣A3

♠K8752
♥93
♦J8
♣K652

	17
6		10
	7

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	6	7	8	8
South	9	6	7	8	8
East	3	7	5	5	5
West	3	7	6	5	5

LoTT: 16 - 16 = 0
Par: 120 2N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
400		6.00	0.00	2♠	E	-4	+1	5-Deregibus-Saad	6-Stockwell-Bhakta
200		5.00	1.00	2♠	E	-2	-1	2-Searcy-Lyons	1-Craig-Craig
110		4.00	2.00	2♠	N	2	-	6-Woods Jr-Georges	8-Crews-Osborn
	50	3.00	3.00	2♠	N	-1	-1	3-Esch-Black	3-Glimp-Hardie
	100	1.00	5.00	2♠	N	-2	-2	1-Wade-Hjalmquist	7-Lavis-Gershowitz
	100	1.00	5.00	3♠*	N	-1	-	8-Tompkins-Whitworth	5-Liguori-Nordberg
	100	1.00	5.00	2♥	S	-2	-1	7-Banta-Handly	2-Peca Jr-Bunge

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

10

♠J73
♥Q8
♦AT642
♣964

Dlr: East
Vul: Both

♠2
♥A642
♦9853
♣AJT8

♠Q654
♥KT7
♦K
♣KQ753

♠AKT98
♥J953
♦QJ7
♣2

	7
9		13
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	8	5	8	6
South	3	8	5	8	6
East	10	5	8	4	5
West	10	5	7	4	5

LoTT: 18 - 17 = 1
Par: -130 4C-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
110		6.00	0.00	2♠	S	2	-	6-Woods Jr-Georges	8-Crews-Osborn
100		5.00	1.00	3♥	E	-1	-	2-Searcy-Lyons	1-Craig-Craig
Pass		4.00	2.00	Pass Out			-	5-Deregibus-Saad	6-Stockwell-Bhakta
	110	3.00	3.00	3♣	E	3	+1	1-Wade-Hjalmquist	7-Lavis-Gershowitz
	120	2.00	4.00	1N	W	2	-3	8-Tompkins-Whitworth	5-Liguori-Nordberg
	130	0.50	5.50	3♣	E	4	-	3-Esch-Black	3-Glimp-Hardie
	130	0.50	5.50	4♣	E	4	-	7-Banta-Handly	2-Peca Jr-Bunge

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

11

♠K9876
♥KJ42
♦8
♣Q32

Dlr: South
Vul: None

♠QJ3
♥T8
♦AJ9432
♣65

♠A5
♥A73
♦KQT65
♣874

♠T42
♥Q965
♦7
♣AKJT9

	9
8		13
	10

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	3	9	8	4
South	8	3	8	8	4
East	4	10	4	5	8
West	4	10	4	5	8

LoTT: 19 - 19 = 0
Par: -100 4H*-N-1/4C*-N-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
100		6.00	0.00	5♦*	W	-1	-	1-Wade-Hjalmquist	7-Lavis-Gershowitz
50		5.00	1.00	5♦	E	-1	-	8-Tompkins-Whitworth	5-Liguori-Nordberg
	130	3.00	3.00	3♦	W	4	-	3-Esch-Black	3-Glimp-Hardie
	130	3.00	3.00	3♦	E	4	-	6-Woods Jr-Georges	8-Crews-Osborn
	130	3.00	3.00	3♦	W	4	-	5-Deregibus-Saad	6-Stockwell-Bhakta
	150	1.00	5.00	5♣	S	-3	-	2-Searcy-Lyons	1-Craig-Craig
	180	0.00	6.00	1N	E	4	-2	7-Banta-Handly	2-Peca Jr-Bunge

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

12

♠AT
♥Q74
♦T76532
♣KJ

Dlr: West
Vul: N-S

♠K8
♥83
♦AQJ94
♣8743

♠J9543
♥KJ2
♦8
♣T965

♠Q762
♥AT965
♦K
♣AQ2

	10
10		5
	15

Double Dummy Makes

	♣	♦	♥	♠	NT
North	6	8	10	8	8
South	6	8	10	8	8
East	7	5	2	5	4
West	7	5	2	5	4

LoTT: 17 - 16 = 1
Par: 620 4H-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
650		6.00	0.00	4♥	S	5	+1	8-Tompkins-Whitworth	5-Liguori-Nordberg
620		4.50	1.50	4♥	S	4	-	2-Searcy-Lyons	1-Craig-Craig
620		4.50	1.50	4♥	S	4	-	5-Deregibus-Saad	6-Stockwell-Bhakta
140		3.00	3.00	3♥	S	3	-1	3-Esch-Black	3-Glimp-Hardie
	90	2.00	4.00	2♣	W	2	-1	7-Banta-Handly	2-Peca Jr-Bunge
	100	1.00	5.00	3N	N	-1	-	6-Woods Jr-Georges	8-Crews-Osborn
	200	0.00	6.00	3N	S	-2	-1	1-Wade-Hjalmquist	7-Lavis-Gershowitz

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

13

♠74
♥T7
♦T8652
♣J632

Dlr: North
Vul: Both

♠AQT2
♥A963
♦AJ3
♣95

♠96
♥KJ854
♦97
♣AQT4

♠KJ853
♥Q2
♦KQ4
♣K87

	1
15		10
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	2	4	1	3	1
South	2	4	1	4	1
East	10	9	12	10	12
West	10	9	12	9	12

LoTT: 16 - 17 = -1
Par: -1440 6N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	230	5.50	0.50	2♥	E	6	-	4-Pruett-Friedman	4-Myers-Myers
	230	5.50	0.50	3♥	E	6	-	2-Searcy-Lyons	8-Crews-Osborn
	620	4.00	2.00	4♥	W	4	+2	6-Woods Jr-Georges	7-Lavis-Gershowitz
	650	3.00	3.00	4♥	E	5	+1	8-Tompkins-Whitworth	3-Glimp-Hardie
	680	2.00	4.00	4♥	W	6	-	3-Esch-Black	2-Peca Jr-Bunge
	690	0.50	5.50	3N	W	6	-	1-Wade-Hjalmquist	6-Stockwell-Bhakta
	690	0.50	5.50	3N	W	6	-	7-Banta-Handly	1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

14

♠QT973
♥7
♦KJ43
♣A96

Dlr: East
Vul: None

♠842
♥9863
♦986
♣T87

♠AKJ
♥AJ4
♦Q75
♣KJ42

♠65
♥KQT52
♦AT2
♣Q53

	10
0		19
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	7	9	8	9	8
South	7	9	8	8	7
East	5	3	4	4	5
West	5	3	4	4	5

LoTT: 14 - 14 = 0
Par: 140 3S-N

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
170		6.00	0.00	2♠	N	4	+1	3-Esch-Black	2-Peca Jr-Bunge
150		4.00	2.00	2N	E	-3	-	4-Pruett-Friedman	4-Myers-Myers
150		4.00	2.00	3N	E	-3	-1	8-Tompkins-Whitworth	3-Glimp-Hardie
150		4.00	2.00	2N	E	-3	-	6-Woods Jr-Georges	7-Lavis-Gershowitz
50		2.00	4.00	1N	E	-1	-1	2-Searcy-Lyons	8-Crews-Osborn
	50	1.00	5.00	2N	S	-1	-	1-Wade-Hjalmquist	6-Stockwell-Bhakta
	90	0.00	6.00	1N	E	1	-2	7-Banta-Handly	1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

15

♠9863
♥KT53
♦K92
♣J9

Dlr: South
Vul: N-S

♠Q74
♥AQ74
♦AJ83
♣Q2

♠T5
♥J9862
♦QT765
♣4

♠AKJ2
♥-
♦4
♣AKT87653

	7
15		3
	15

Double Dummy Makes

	♣	♦	♥	♠	NT
North	11	5	5	11	11
South	11	5	5	11	11
East	2	8	8	2	2
West	2	7	8	2	2

LoTT: 19 - 19 = 0
Par: 660 5N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
1100		6.00	0.00	5♥*	W	-5	+2	3-Esch-Black	2-Peca Jr-Bunge
620		4.00	2.00	5♣	S	6	+1	8-Tompkins-Whitworth	3-Glimp-Hardie
620		4.00	2.00	5♣	S	6	+1	7-Banta-Handly	1-Craig-Craig
620		4.00	2.00	5♣	S	6	+1	6-Woods Jr-Georges	7-Lavis-Gershowitz
600		2.00	4.00	5♣	S	5	-	2-Searcy-Lyons	8-Crews-Osborn
	100	1.00	5.00	3♠	S	-1	-3	1-Wade-Hjalmquist	6-Stockwell-Bhakta
	200	0.00	6.00	5♣*	S	-1	-1	4-Pruett-Friedman	4-Myers-Myers

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

16

♠KJT83
♥QJ98
♦QJT
♣7

Dlr: West
Vul: E-W

♠Q962
♥T732
♦6
♣T643

♠A74
♥A5
♦K8752
♣KQ5

♠5
♥K64
♦A943
♣AJ982

	10
2		16
	12

Double Dummy Makes

	♣	♦	♥	♠	NT
North	7	8	9	9	9
South	7	8	9	9	9
East	5	5	4	4	4
West	5	5	4	4	4

LoTT: 14 - 14 = 0
Par: 400 3N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
400		6.00	0.00	3N	N	3	-	8-Tompkins-Whitworth	3-Glimp-Hardie
200		4.50	1.50	1N	E	-2	-1	3-Esch-Black	2-Peca Jr-Bunge
200		4.50	1.50	2♥	E	-2	-2	1-Wade-Hjalmquist	6-Stockwell-Bhakta
150		2.50	3.50	1N	S	3	-	7-Banta-Handly	1-Craig-Craig
150		2.50	3.50	2N	N	3	-	6-Woods Jr-Georges	7-Lavis-Gershowitz
110		0.50	5.50	2♥	N	2	-1	4-Pruett-Friedman	4-Myers-Myers
110		0.50	5.50	2♥	N	2	-1	2-Searcy-Lyons	8-Crews-Osborn

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

17

♠KT43
♥KJ7
♦JT94
♣A2

Dlr: North
Vul: None

♠652
♥A964
♦K83
♣Q75

♠AJ
♥QT832
♦AQ5
♣T83

♠Q987
♥5
♦762
♣KJ964

	12
9		13
	6

Double Dummy Makes

	♣	♦	♥	♠	NT
North	7	7	5	8	5
South	7	7	5	8	5
East	5	6	8	5	5
West	5	6	8	5	5

LoTT: 16 - 17 = -1
Par: 100 3H*-EW-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		5.00	1.00	2♠	N	3	+1	5-Deregibus-Saad	5-Liguori-Nordberg
140		5.00	1.00	3♠	N	3	+1	4-Pruett-Friedman	3-Glimp-Hardie
140		5.00	1.00	3♠	N	3	+1	3-Esch-Black	1-Craig-Craig
50		3.00	3.00	2♥	E	-1	+1	1-Wade-Hjalmquist	4-Myers-Myers
	140	1.50	4.50	2♥	E	3	-1	2-Searcy-Lyons	7-Lavis-Gershowitz
	140	1.50	4.50	2♥	E	3	-1	7-Banta-Handly	8-Crews-Osborn
	150	0.00	6.00	4♠	N	-3	-1	8-Tompkins-Whitworth	2-Peca Jr-Bunge

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

18

♠74
♥AJ73
♦J5
♣AJ543

Dlr: East
Vul: N-S

♠QT9832
♥62
♦AK6
♣Q6

♠KJ
♥QT854
♦T84
♣872

♠A65
♥K9
♦Q9732
♣KT9

	11
11		6
	12

Double Dummy Makes

	♣	♦	♥	♠	NT
North	10	9	7	6	8
South	10	9	7	6	8
East	3	4	6	7	4
West	3	4	6	7	4

LoTT: 17 - 16 = 1
Par: 130 4C-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
210		6.00	0.00	2N	S	5	+3	8-Tompkins-Whitworth	2-Peca Jr-Bunge
120		5.00	1.00	2N	S	2	-	4-Pruett-Friedman	3-Glimp-Hardie
100		3.00	3.00	3♠	W	-2	-	5-Deregibus-Saad	5-Liguori-Nordberg
100		3.00	3.00	3♠	W	-2	-	3-Esch-Black	1-Craig-Craig
100		3.00	3.00	2♠*	W	-1	-	2-Searcy-Lyons	7-Lavis-Gershowitz
90		1.00	5.00	2♦	S	2	-1	1-Wade-Hjalmquist	4-Myers-Myers
	100	0.00	6.00	3N	S	-1	-	7-Banta-Handly	8-Crews-Osborn

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

19

♠842
♥J92
♦AK76
♣762

Dlr: South
Vul: E-W

♠95
♥T3
♦T852
♣AKJT4

♠AKQJ
♥AK875
♦QJ9
♣9

♠T763
♥Q64
♦43
♣Q853

	8
8		20
	4

Double Dummy Makes

	♣	♦	♥	♠	NT
North	2	2	2	1	3
South	2	2	2	1	3
East	10	11	9	10	10
West	10	11	9	10	10

LoTT: 13 - 14 = -1
Par: -630 4N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	170	6.00	0.00	2♥	E	4	-1	3-Esch-Black	1-Craig-Craig
	620	5.00	1.00	4♥	E	4	-1	2-Searcy-Lyons	7-Lavis-Gershowitz
	630	3.50	2.50	3N	W	4	-	1-Wade-Hjalmquist	4-Myers-Myers
	630	3.50	2.50	3N	W	4	-	8-Tompkins-Whitworth	2-Peca Jr-Bunge
	660	1.00	5.00	3N	E	5	-1	5-Deregibus-Saad	5-Liguori-Nordberg
	660	1.00	5.00	3N	W	5	-1	4-Pruett-Friedman	3-Glimp-Hardie
	660	1.00	5.00	3N	W	5	-1	7-Banta-Handly	8-Crews-Osborn

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

20

♠874
♥T984
♦5
♣AJT75

Dlr: West
Vul: Both

♠92
♥Q632
♦AJ96
♣942

♠K5
♥AK7
♦KT8743
♣63

♠AQJT63
♥J5
♦Q2
♣KQ8

	5
7		13
	15

Double Dummy Makes

	♣	♦	♥	♠	NT
North	10	4	6	10	4
South	10	4	6	10	4
East	2	9	7	1	2
West	2	9	7	1	2

LoTT: 19 - 19 = 0
Par: 500 5D*-EW-2

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
230		6.00	0.00	3♠	S	6	+2	8-Tompkins-Whitworth	2-Peca Jr-Bunge
200		5.00	1.00	2♠	S	5	+1	2-Searcy-Lyons	7-Lavis-Gershowitz
170		3.50	2.50	3♠	S	4	-	4-Pruett-Friedman	3-Glimp-Hardie
170		3.50	2.50	3♠	S	4	-	3-Esch-Black	1-Craig-Craig
140		2.00	4.00	2♠	S	3	-1	5-Deregibus-Saad	5-Liguori-Nordberg
100		1.00	5.00	5♦	E	-1	-1	1-Wade-Hjalmquist	4-Myers-Myers
	130	0.00	6.00	3♦	E	4	-1	7-Banta-Handly	8-Crews-Osborn

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

21

♠K976
♥KQ874
♦KQ92
♣-

Dlr: North
Vul: N-S

♠AJ842
♥J3
♦T874
♣96

♠T3
♥T962
♦A65
♣Q542

♠Q5
♥A5
♦J3
♣AKJT873

	13
6		6
	15

Double Dummy Makes

	♣	♦	♥	♠	NT
North	10	10	10	9	10
South	10	10	10	9	10
East	3	3	3	3	3
West	3	3	3	3	3

LoTT: 13 - 14 = -1
Par: 630 4N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
630		6.00	0.00	3N	S	4	-	6-Woods Jr-Georges	6-Stockwell-Bhakta
620		5.00	1.00	4♥	N	4	-	3-Esch-Black	8-Crews-Osborn
600		4.00	2.00	3N	N	3	-1	4-Pruett-Friedman	2-Peca Jr-Bunge
130		2.00	4.00	4♣	S	4	-	5-Deregibus-Saad	4-Myers-Myers
130		2.00	4.00	4♣	S	4	-	1-Wade-Hjalmquist	3-Glimp-Hardie
130		2.00	4.00	3♣	S	4	-	8-Tompkins-Whitworth	1-Craig-Craig
	100	0.00	6.00	5♣	S	-1	-	2-Searcy-Lyons	5-Liguori-Nordberg

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

22

♠J643
♥Q862
♦5
♣AKQ4

Dlr: East
Vul: E-W

♠5
♥T7
♦KQ9
♣JT87653

♠Q87
♥AJ4
♦T76432
♣9

♠AKT92
♥K953
♦AJ8
♣2

	12
6		7
	15

Double Dummy Makes

	♣	♦	♥	♠	NT
North	7	7	11	11	10
South	7	7	11	11	10
East	6	6	2	1	3
West	6	6	2	1	2

LoTT: 17 - 18 = -1
Par: 450 5S-NS/5H-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
480		6.00	0.00	4♠	S	6	+1	5-Deregibus-Saad	4-Myers-Myers
450		3.50	2.50	4♠	S	5	-	4-Pruett-Friedman	2-Peca Jr-Bunge
450		3.50	2.50	4♠	S	5	-	3-Esch-Black	8-Crews-Osborn
450		3.50	2.50	4♥	S	5	-	2-Searcy-Lyons	5-Liguori-Nordberg
450		3.50	2.50	4♠	S	5	-	1-Wade-Hjalmquist	3-Glimp-Hardie
420		0.50	5.50	4♠	S	4	-1	6-Woods Jr-Georges	6-Stockwell-Bhakta
420		0.50	5.50	4♠	S	4	-1	8-Tompkins-Whitworth	1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

23

♠T974
♥A74
♦-
♣KT7643

Dlr: South
Vul: Both

♠J653
♥Q8
♦AK75
♣QJ8

♠A
♥T9532
♦JT986
♣A2

♠KQ82
♥KJ6
♦Q432
♣95

	7
13		9
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	3	4	8	5
South	9	3	4	8	5
East	4	10	9	4	8
West	4	10	9	5	8

LoTT: 19 - 17 = 2
Par: -140 3H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	100	6.00	0.00	4♣	N	-1	-	6-Woods Jr-Georges	6-Stockwell-Bhakta
	110	4.50	1.50	2♥	E	2	+1	3-Esch-Black	8-Crews-Osborn
	110	4.50	1.50	2♥	W	2	+1	2-Searcy-Lyons	5-Liguori-Nordberg
	130	3.00	3.00	2♦	W	4	-	8-Tompkins-Whitworth	1-Craig-Craig
	200	1.50	4.50	3♠	S	-2	-1	4-Pruett-Friedman	2-Peca Jr-Bunge
	200	1.50	4.50	4♠	N	-2	-	1-Wade-Hjalmquist	3-Glimp-Hardie
	600	0.00	6.00	3N	W	3	-1	5-Deregibus-Saad	4-Myers-Myers

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

24

♠AKQ83
♥Q3
♦AKQ6
♣87

Dlr: West
Vul: None

♠JT4
♥76
♦JT985
♣J32

♠9765
♥J82
♦42
♣KQT9

♠2
♥AKT954
♦73
♣A654

	20
3		6
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	10	11	13	12	13
South	10	11	13	12	13
East	3	2	0	1	0
West	3	2	0	1	0

LoTT: 16 - 15 = 1
Par: 1520 7N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
1020		6.00	0.00	6N	S	7	-	5-Deregibus-Saad	4-Myers-Myers
1010		5.00	1.00	6♥	S	7	-	2-Searcy-Lyons	5-Liguori-Nordberg
510		3.00	3.00	5♥	S	7	-	6-Woods Jr-Georges	6-Stockwell-Bhakta
510		3.00	3.00	5♥	S	7	-	3-Esch-Black	8-Crews-Osborn
510		3.00	3.00	5♥	S	7	-	8-Tompkins-Whitworth	1-Craig-Craig
480		0.50	5.50	4♠	N	6	-	4-Pruett-Friedman	2-Peca Jr-Bunge
480		0.50	5.50	4♥	S	6	-1	1-Wade-Hjalmquist	3-Glimp-Hardie

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

25

♠A753
♥AT8
♦83
♣T542

Dlr: North
Vul: E-W

♠Q8
♥KJ754
♦AQT
♣QJ9

♠KJ9642
♥963
♦K
♣AK6

♠T
♥Q2
♦J976542
♣873

	8
15		14
	3

Double Dummy Makes

	♣	♦	♥	♠	NT
North	4	6	4	2	2
South	4	6	4	2	2
East	9	7	9	11	10
West	9	7	9	11	11

LoTT: 17 - 17 = 0
Par: -660 5N-E

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	620	4.50	1.50	4♥	W	4	-1	7-Banta-Handly	7-Lavis-Gershowitz
	620	4.50	1.50	4♥	W	4	-1	6-Woods Jr-Georges	5-Liguori-Nordberg
	620	4.50	1.50	4♥	W	4	-1	4-Pruett-Friedman	1-Craig-Craig
	620	4.50	1.50	4♥	W	4	-1	2-Searcy-Lyons	4-Myers-Myers
	650	1.50	4.50	5♠	E	5	-	5-Deregibus-Saad	3-Glimp-Hardie
	650	1.50	4.50	4♠	E	5	-	1-Wade-Hjalmquist	2-Peca Jr-Bunge
	660	0.00	6.00	3N	W	5	-	3-Esch-Black	6-Stockwell-Bhakta

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

26

♠53
♥J753
♦QJ7532
♣J

Dlr: East
Vul: Both

♠T6
♥KQ8
♦T4
♣T86543

♠K987
♥A64
♦AK8
♣KQ7

♠AQJ42
♥T92
♦96
♣A92

	5
5		19
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	7	5	5	3
South	3	7	5	5	3
East	10	6	7	8	10
West	9	6	7	8	10

LoTT: 17 - 17 = 0
Par: -630 4N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
100		6.00	0.00	2N	E	-1	+3	7-Banta-Handly	7-Lavis-Gershowitz
	150	5.00	1.00	4♣	E	5	-1	2-Searcy-Lyons	4-Myers-Myers
	180	4.00	2.00	1N	E	4	-	6-Woods Jr-Georges	5-Liguori-Nordberg
	210	3.00	3.00	1N	E	5	-1	4-Pruett-Friedman	1-Craig-Craig
	600	2.00	4.00	5♣	E	5	-1	3-Esch-Black	6-Stockwell-Bhakta
	660	0.50	5.50	3N	E	5	-1	5-Deregibus-Saad	3-Glimp-Hardie
	660	0.50	5.50	3N	E	5	-1	1-Wade-Hjalmquist	2-Peca Jr-Bunge

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

27

♠KT32
♥AT9
♦AQJ9
♣97

Dlr: South
Vul: None

♠J6
♥QJ7
♦KT74
♣AKJ6

♠9754
♥8632
♦8532
♣5

♠AQ8
♥K54
♦6
♣QT8432

	14
15		0
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	10	8	9	10	10
South	10	9	9	10	10
East	3	4	4	2	3
West	3	4	4	2	3

LoTT: 14 - 16 = -2
Par: 430 4N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
1100		6.00	0.00	4♦*	W	-5	-1	2-Searcy-Lyons	4-Myers-Myers
300		4.50	1.50	2♦*	E	-2	-2	6-Woods Jr-Georges	5-Liguori-Nordberg
300		4.50	1.50	3N	W	-6	-	1-Wade-Hjalmquist	2-Peca Jr-Bunge
130		3.00	3.00	3♣	S	4	-	3-Esch-Black	6-Stockwell-Bhakta
110		2.00	4.00	2♣	N	3	-1	4-Pruett-Friedman	1-Craig-Craig
100		1.00	5.00	1N	W	-2	-2	7-Banta-Handly	7-Lavis-Gershowitz
	100	0.00	6.00	4♠	N	-2	-2	5-Deregibus-Saad	3-Glimp-Hardie

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

28

♠AT86
♥AQT75
♦AT
♣Q2

Dlr: West
Vul: N-S

♠KQ74
♥KJ63
♦Q75
♣A7

♠532
♥842
♦KJ8
♣9863

♠J9
♥9
♦96432
♣KJT54

	16
15		4
	5

Double Dummy Makes

	♣	♦	♥	♠	NT
North	9	9	8	8	8
South	9	9	8	8	8
East	3	3	5	4	5
West	4	4	5	5	5

LoTT: 14 - 14 = 0
Par: 120 2N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		5.50	0.50	2♥	N	3	+1	3-Esch-Black	6-Stockwell-Bhakta
140		5.50	0.50	3♠	S	3	+1	1-Wade-Hjalmquist	2-Peca Jr-Bunge
110		4.00	2.00	2♥	N	2	-	6-Woods Jr-Georges	5-Liguori-Nordberg
100		3.00	3.00	1N*	W	-1	-1	7-Banta-Handly	7-Lavis-Gershowitz
50		2.00	4.00	1N	W	-1	-1	2-Searcy-Lyons	4-Myers-Myers
	100	0.50	5.50	4♥	N	-1	+1	5-Deregibus-Saad	3-Glimp-Hardie
	100	0.50	5.50	2♥	N	-1	-1	4-Pruett-Friedman	1-Craig-Craig

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

29

♠64
♥AKT975
♦Q9763
♣-

Dlr: North
Vul: Both

♠AJT52
♥2
♦A2
♣AKQT7

♠K973
♥Q6
♦T5
♣98543

♠Q8
♥J843
♦KJ84
♣J62

	9
18		5
	8

Double Dummy Makes

	♣	♦	♥	♠	NT
North	1	9	10	2	2
South	1	9	10	2	2
East	12	3	3	10	7
West	12	3	3	11	7

LoTT: 22 - 20 = 2
Par: -500 6H*-NS-2

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
990		6.00	0.00	4♥*	N	5	+1	2-Searcy-Lyons	3-Glimp-Hardie
100		5.00	1.00	6♠	E	-1	-1	5-Deregibus-Saad	2-Peca Jr-Bunge
	200	4.00	2.00	3♠	W	5	-	3-Esch-Black	5-Liguori-Nordberg
	600	3.00	3.00	5♣	E	5	+1	4-Pruett-Friedman	7-Lavis-Gershowitz
	650	1.00	5.00	4♠	W	5	-	8-Tompkins-Whitworth	8-Crews-Osborn
	650	1.00	5.00	4♠	W	5	-	7-Banta-Handly	6-Stockwell-Bhakta
	650	1.00	5.00	4♠	W	5	-	6-Woods Jr-Georges	4-Myers-Myers

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

30

♠-
♥A5432
♦KJ3
♣KJ532

Dlr: East
Vul: None

♠A9732
♥KJT
♦Q2
♣T86

♠J85
♥Q9876
♦986
♣Q4

♠KQT64
♥-
♦AT754
♣A97

	12
10		5
	13

Double Dummy Makes

	♣	♦	♥	♠	NT
North	13	13	9	9	11
South	13	13	9	9	11
East	0	0	4	4	1
West	0	0	4	4	1

LoTT: 17 - 16 = 1
Par: 1440 7D-NS/7C-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
490		6.00	0.00	3N	S	6	+1	5-Deregibus-Saad	2-Peca Jr-Bunge
460		5.00	1.00	3N	N	5	-	7-Banta-Handly	6-Stockwell-Bhakta
430		3.50	2.50	3N	N	4	-1	6-Woods Jr-Georges	4-Myers-Myers
430		3.50	2.50	3N	N	4	-1	4-Pruett-Friedman	7-Lavis-Gershowitz
420		2.00	4.00	5♣	N	6	-1	3-Esch-Black	5-Liguori-Nordberg
400		1.00	5.00	5♦	S	5	-2	2-Searcy-Lyons	3-Glimp-Hardie
	50	0.00	6.00	3N	N	-1	-3	8-Tompkins-Whitworth	8-Crews-Osborn

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

31

♠8752
♥K95
♦K6
♣K952

Dlr: South
Vul: N-S

♠QJ93
♥J73
♦J9832
♣7

♠AT
♥AT64
♦QT75
♣AJ6

♠K64
♥Q82
♦A4
♣QT843

	9
5		15
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	4	6	7	7
South	8	4	6	7	7
East	5	9	7	6	6
West	4	9	7	6	5

LoTT: 17 - 18 = -1
Par: -110 3D-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
110		6.00	0.00	2♣	N	3	+1	3-Esch-Black	5-Liguori-Nordberg
100		4.00	2.00	1N	E	-2	+1	8-Tompkins-Whitworth	8-Crews-Osborn
100		4.00	2.00	2♥	E	-2	+1	6-Woods Jr-Georges	4-Myers-Myers
100		4.00	2.00	3♥	E	-2	-	5-Deregibus-Saad	2-Peca Jr-Bunge
50		1.50	4.50	1N	E	-1	-	7-Banta-Handly	6-Stockwell-Bhakta
50		1.50	4.50	2♥	E	-1	-	4-Pruett-Friedman	7-Lavis-Gershowitz
	110	0.00	6.00	2♦	W	3	-	2-Searcy-Lyons	3-Glimp-Hardie

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.

32

♠T543
♥82
♦KT985
♣J6

Dlr: West
Vul: E-W

♠Q92
♥AT
♦AJ7
♣AQ542

♠A87
♥Q963
♦Q32
♣T73

♠KJ6
♥KJ754
♦64
♣K98

	4
17		8
	11

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	6	5	5	3
South	3	6	5	5	3
East	9	7	8	8	9
West	9	7	8	7	9

LoTT: 15 - 15 = 0
Par: -600 3N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	100	6.00	0.00	2♥	S	-2	+1	2-Searcy-Lyons	3-Glimp-Hardie
	120	4.00	2.00	1N	W	2	+1	7-Banta-Handly	6-Stockwell-Bhakta
	120	4.00	2.00	1N	W	2	+1	4-Pruett-Friedman	7-Lavis-Gershowitz
	120	4.00	2.00	1N	W	2	+1	3-Esch-Black	5-Liguori-Nordberg
	600	1.50	4.50	3N	W	3	-	8-Tompkins-Whitworth	8-Crews-Osborn
	600	1.50	4.50	3N	W	3	-	5-Deregibus-Saad	2-Peca Jr-Bunge
	630	0.00	6.00	3N	W	4	-1	6-Woods Jr-Georges	4-Myers-Myers

ETF: Extra Trick Factor: Number of tricks that N-S achieved relative to the Double Dummy expectations.