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RochesterMn Duplicate Bridge Club
12:30 ♦ Open pairs - International Fund game
Wednesday, September 3, 2025

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Event: Wednesday Afternoon Pairs	Session: Wednesday Aft	Movement: MITCHELL
Date: September 3, 2025	Rating: Club International Fund	Section: A
Club No: 132373	Club: Rochester Duplicate Bridg	Dir: Matt Belau
MP Limits: None/2100/900	Average: 108	Top: 8

Field strength: Mean: 1292 MP
Geomean: 749 MP
(based on 36 players)

Both Directions Grouped - Pairs in strats: A=18 / B=12 / C=6

Split by Direction

Overall

Section

A

B

C

A

B

C

Gary Falkenstein

Sylvester Sterioff

N-S

4

C

1

1

1

1

1

1

130.50

2.77

Wayne Rogelstad

E-W

6

A

2

1

119.50

2.08

E-W

4

B

3

2

2

1

117.50

1.56

N-S

1

A

4

2

117.00

1.17

E-W

1

B

5/6

3/4

3/4

2/3

116.50

0.77

E-W

3

B

5/6

3/4

3/4

2/3

116.50

0.77

N-S

3

B

-

-

3

2

116.00

0.70

BARBARA WIJDICKS

N-S

7

A

-

4/5

114.00

0.39

JERRY ROSENBLAD

N-S

8

B

-

-

4/5

-

114.00

0.39

Linda Grigoleit

E-W

7

B

-

-

-

-

109.00

E-W

9

A

-

-

108.50

Mary Ann Butler

E-W

2

C

-

-

2

-

-

1

104.50

0.77

N-S

6

A

-

-

99.50

E-W

8

C

-

-

-

-

-

-

98.00

N-S

2

A

-

-

97.50

N-S

5

C

-

-

-

-

-

-

93.00

N-S

9

C

-

-

-

-

-

-

90.50

Barbara Knutsen

Kathy Maegerlein

E-W

5

C

-

-

-

-

-

-

82.00

18 pairs - Pairs in strats: A=18 / B=12 / C=6
Click on a result to see the recap for this pair.

You can move from board to board by using the arrow keys on your keyboard.
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1

♠J942
♥Q82
♦QT
♣QT63

Dlr: North
Vul: None

♠AQ3
♥K6
♦K543
♣A875

♠75
♥JT53
♦AJ82
♣KJ9

♠KT86
♥A974
♦976
♣42

	7
16		10
	7

Double Dummy Makes

	♣	♦	♥	♠	NT
North	2	1	2	5	2
South	2	1	2	5	2
East	11	12	9	8	11
West	11	12	9	8	11

LoTT: 17 - 16 = 1
Par: -920 6D-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	210	8.00	0.00	2N	W	+3	-	9-Bier-Cascino	8-Nelson-Funk
	400	5.50	2.50	3N	W		+2	7-WIJDICKS-VAN RYN	4-MORLOCK-LARSON
	400	5.50	2.50	3N	W		+2	5-Miller-Grigoleit	9-CAUCUTT-LEWIS
	400	5.50	2.50	3N	W		+2	4-Falkenstein-Sterioff	7-Morris-Grigoleit
	400	5.50	2.50	3N	W		+2	3-Ryder-LONG	5-Knutsen-Maegerlein
	430	2.00	6.00	3N	W	+1	+1	1-BELAU-ROEDIGER	1-LICHTY-GREENBERG
	430	2.00	6.00	3N	W	+1	+1	6-MATAYA-PRAKASH	2-Butler-Heins
	430	2.00	6.00	3N	W	+1	+1	2-Vinje-ARGUE	3-He-Jentzer
	460	0.00	8.00	3N	W	+2	-	8-ROSENBLAD-BYMERS	6-Rogelstad-FOCKLER

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

2

♠T73
♥87632
♦QT
♣932

Dlr: East
Vul: N-S

♠AQ52
♥Q4
♦7432
♣K84

♠J94
♥AK95
♦9865
♣QT

♠K86
♥JT
♦AKJ
♣AJ765

	2
11		10
	17

Double Dummy Makes

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

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
90		7.50	0.50	1♣	S	+1	+1	6-MATAYA-PRAKASH	2-Butler-Heins
90		7.50	0.50	1N	S		+2	3-Ryder-LONG	5-Knutsen-Maegerlein
	100	5.50	2.50	2♥	S	-1	+1	9-Bier-Cascino	8-Nelson-Funk
	100	5.50	2.50	2♥	S	-1	+1	8-ROSENBLAD-BYMERS	6-Rogelstad-FOCKLER
	200	2.50	5.50	2♥	S	-2	-	7-WIJDICKS-VAN RYN	4-MORLOCK-LARSON
	200	2.50	5.50	2♥	S	-2	-	5-Miller-Grigoleit	9-CAUCUTT-LEWIS
	200	2.50	5.50	1N	S	-2	-	4-Falkenstein-Sterioff	7-Morris-Grigoleit
	200	2.50	5.50	2♥	S	-2	-	2-Vinje-ARGUE	3-He-Jentzer
	300	0.00	8.00	2♥	S	-3	-1	1-BELAU-ROEDIGER	1-LICHTY-GREENBERG

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

3

♠K82
♥KQ6
♦AT52
♣T65

Dlr: South
Vul: E-W

♠QT76
♥32
♦KQ87
♣A43

♠J9543
♥AJT98
♦-
♣J72

♠A
♥754
♦J9643
♣KQ98

	12
11		7
	10

Double Dummy Makes

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

LoTT: 18 - 18 = 0
Par: -100 4D*-NS-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		8.00	0.00	4♠	W	-2	-	4-Falkenstein-Sterioff	7-Morris-Grigoleit
120		7.00	1.00	2N	N		+1	3-Ryder-LONG	5-Knutsen-Maegerlein
100		5.00	3.00	3♠	W	-1	-	8-ROSENBLAD-BYMERS	6-Rogelstad-FOCKLER
100		5.00	3.00	3♠	E	-1	+1	7-WIJDICKS-VAN RYN	4-MORLOCK-LARSON
100		5.00	3.00	3♠	W	-1	-	2-Vinje-ARGUE	3-He-Jentzer
Pass		3.00	5.00	Pass Out			-	5-Miller-Grigoleit	9-CAUCUTT-LEWIS
	50	2.00	6.00	4♦	N	-1	-	6-MATAYA-PRAKASH	2-Butler-Heins
	100	1.00	7.00	3N	N	-2	-	1-BELAU-ROEDIGER	1-LICHTY-GREENBERG
	140	0.00	8.00	3♠	W		-1	9-Bier-Cascino	8-Nelson-Funk

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

4

♠AK987
♥AQ9
♦T52
♣JT

Dlr: West
Vul: Both

♠J5
♥K8632
♦73
♣AK94

♠Q432
♥J5
♦KJ964
♣Q3

♠T6
♥T74
♦AQ8
♣87652

	14
11		9
	6

Double Dummy Makes

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

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
400		8.00	0.00	2N	E	-4	+1	1-BELAU-ROEDIGER	9-CAUCUTT-LEWIS
300		7.00	1.00	2♦	E	-3	-	4-Falkenstein-Sterioff	6-Rogelstad-FOCKLER
200		5.00	3.00	3♥	W	-2	-1	7-WIJDICKS-VAN RYN	3-He-Jentzer
200		5.00	3.00	2N	E	-2	-1	6-MATAYA-PRAKASH	1-LICHTY-GREENBERG
200		5.00	3.00	2♥	W	-2	-	5-Miller-Grigoleit	8-Nelson-Funk
140		3.00	5.00	1♠	N	+2	+1	2-Vinje-ARGUE	2-Butler-Heins
120		2.00	6.00	1N	S	+1	-	8-ROSENBLAD-BYMERS	5-Knutsen-Maegerlein
	100	0.50	7.50	1N	S	-1	-2	9-Bier-Cascino	7-Morris-Grigoleit
	100	0.50	7.50	2♠	N	-1	-1	3-Ryder-LONG	4-MORLOCK-LARSON

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

5

♠JT84
♥K32
♦QT76
♣95

Dlr: North
Vul: N-S

♠KQ65
♥54
♦KJ9
♣K632

♠973
♥AT96
♦A432
♣J8

♠A2
♥QJ87
♦85
♣AQT74

	6
12		9
	13

Double Dummy Makes

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

LoTT: 14 - 14 = 0
Par: 90 1N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
90		8.00	0.00	1N	S		-	6-MATAYA-PRAKASH	1-LICHTY-GREENBERG
50		6.00	2.00	1N	W	-1	-	1-BELAU-ROEDIGER	9-CAUCUTT-LEWIS
50		6.00	2.00	1N	W	-1	-	7-WIJDICKS-VAN RYN	3-He-Jentzer
50		6.00	2.00	2♥	E	-1	-1	3-Ryder-LONG	4-MORLOCK-LARSON
	100	3.00	5.00	2♣	S	-1	-	2-Vinje-ARGUE	2-Butler-Heins
	100	3.00	5.00	2♣	S	-1	-	9-Bier-Cascino	7-Morris-Grigoleit
	100	3.00	5.00	2♥	S	-1	-	8-ROSENBLAD-BYMERS	5-Knutsen-Maegerlein
	200	0.50	7.50	1♠	N	-2	-1	5-Miller-Grigoleit	8-Nelson-Funk
	200	0.50	7.50	2♣	S	-2	-1	4-Falkenstein-Sterioff	6-Rogelstad-FOCKLER

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

6

♠863
♥AT742
♦JT9
♣K8

Dlr: East
Vul: E-W

♠KQT4
♥J96
♦82
♣QJ43

♠AJ7
♥K3
♦AKQ765
♣A2

♠952
♥Q85
♦43
♣T9765

	8
9		21
	2

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	1	4	0	1
South	3	1	4	0	1
East	9	12	9	12	12
West	10	12	9	12	12

LoTT: 16 - 16 = 0
Par: -1440 6N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	630	8.00	0.00	3N	W	+1	+2	9-Bier-Cascino	7-Morris-Grigoleit
	690	3.50	4.50	3N	W	+3	-	2-Vinje-ARGUE	2-Butler-Heins
	690	3.50	4.50	3N	E	+3	-	1-BELAU-ROEDIGER	9-CAUCUTT-LEWIS
	690	3.50	4.50	3N	E	+3	-	8-ROSENBLAD-BYMERS	5-Knutsen-Maegerlein
	690	3.50	4.50	3N	E	+3	-	7-WIJDICKS-VAN RYN	3-He-Jentzer
	690	3.50	4.50	3N	E	+3	-	6-MATAYA-PRAKASH	1-LICHTY-GREENBERG
	690	3.50	4.50	3N	E	+3	-	5-Miller-Grigoleit	8-Nelson-Funk
	690	3.50	4.50	3N	E	+3	-	4-Falkenstein-Sterioff	6-Rogelstad-FOCKLER
	690	3.50	4.50	3N	E	+3	-	3-Ryder-LONG	4-MORLOCK-LARSON

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

7

♠Q2
♥A98
♦A765
♣JT42

Dlr: South
Vul: Both

♠JT543
♥JT754
♦83
♣9

♠AK987
♥3
♦KQJ2
♣Q73

♠6
♥KQ62
♦T94
♣AK865

	11
2		15
	12

Double Dummy Makes

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

LoTT: 20 - 19 = 1
Par: -200 5C*-NS-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
600		8.00	0.00	3N	N		+1	4-Falkenstein-Sterioff	5-Knutsen-Maegerlein
150		7.00	1.00	3♣	S	+2	+1	8-ROSENBLAD-BYMERS	4-MORLOCK-LARSON
90		6.00	2.00	2♣	S		-2	3-Ryder-LONG	3-He-Jentzer
	170	4.50	3.50	2♠	E	+2	-	2-Vinje-ARGUE	1-LICHTY-GREENBERG
	170	4.50	3.50	3♠	E	+1	-	5-Miller-Grigoleit	7-Morris-Grigoleit
	200	2.50	5.50	5♣	S	-2	-1	7-WIJDICKS-VAN RYN	2-Butler-Heins
	200	2.50	5.50	2N	N	-2	-2	6-MATAYA-PRAKASH	9-CAUCUTT-LEWIS
	620	1.00	7.00	4♠	E		-	9-Bier-Cascino	6-Rogelstad-FOCKLER
	930	0.00	8.00	3♠*	E	+1	-	1-BELAU-ROEDIGER	8-Nelson-Funk

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

8

♠KJT862
♥5
♦QT75
♣Q3

Dlr: West
Vul: None

♠-
♥AKJT74
♦K942
♣A54

♠Q9743
♥Q963
♦6
♣JT6

♠A5
♥82
♦AJ83
♣K9872

	8
15		5
	12

Double Dummy Makes

	♣	♦	♥	♠	NT
North	6	8	2	8	4
South	6	8	2	8	4
East	5	5	11	5	8
West	6	5	11	5	8

LoTT: 19 - 18 = 1
Par: -450 5H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
50		8.00	0.00	6♥	W	-1	-	8-ROSENBLAD-BYMERS	4-MORLOCK-LARSON
	100	6.50	1.50	3♠	N	-2	-1	1-BELAU-ROEDIGER	8-Nelson-Funk
	100	6.50	1.50	3♠	N	-2	-1	4-Falkenstein-Sterioff	5-Knutsen-Maegerlein
	170	4.50	3.50	3♥	W	+1	+1	3-Ryder-LONG	3-He-Jentzer
	170	4.50	3.50	3♥	W	+1	+1	5-Miller-Grigoleit	7-Morris-Grigoleit
	420	2.50	5.50	4♥	W		+1	9-Bier-Cascino	6-Rogelstad-FOCKLER
	420	2.50	5.50	4♥	W		+1	6-MATAYA-PRAKASH	9-CAUCUTT-LEWIS
	450	0.50	7.50	5♥	W		-	2-Vinje-ARGUE	1-LICHTY-GREENBERG
	450	0.50	7.50	4♥	W	+1	-	7-WIJDICKS-VAN RYN	2-Butler-Heins

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

9

♠AKQ63
♥T86
♦J93
♣T7

Dlr: North
Vul: E-W

♠JT754
♥J32
♦85
♣K83

♠82
♥A75
♦AK74
♣AJ96

♠9
♥KQ94
♦QT62
♣Q542

	10
5		16
	9

Double Dummy Makes

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

LoTT: 14 - 14 = 0
Par: -90 1N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
300		8.00	0.00	3♦	E	-3	+1	1-BELAU-ROEDIGER	8-Nelson-Funk
200		6.50	1.50	2♠	E	-2	+1	3-Ryder-LONG	3-He-Jentzer
200		6.50	1.50	2♠	E	-2	+1	9-Bier-Cascino	6-Rogelstad-FOCKLER
100		4.50	3.50	2♠	E	-1	-	7-WIJDICKS-VAN RYN	2-Butler-Heins
100		4.50	3.50	1N	E	-1	+1	4-Falkenstein-Sterioff	5-Knutsen-Maegerlein
	110	1.50	6.50	2♠	E		-1	2-Vinje-ARGUE	1-LICHTY-GREENBERG
	110	1.50	6.50	2♠	E		-1	8-ROSENBLAD-BYMERS	4-MORLOCK-LARSON
	110	1.50	6.50	2♠	E		-1	6-MATAYA-PRAKASH	9-CAUCUTT-LEWIS
	110	1.50	6.50	2♠	E		-1	5-Miller-Grigoleit	7-Morris-Grigoleit

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

10

♠8764
♥J72
♦AQT4
♣63

Dlr: East
Vul: Both

♠3
♥AK954
♦862
♣K852

♠AJ52
♥3
♦J973
♣Q974

♠KQT9
♥QT86
♦K5
♣AJT

	7
10		8
	15

Double Dummy Makes

	♣	♦	♥	♠	NT
North	4	5	7	8	8
South	4	5	7	8	8
East	8	6	6	5	5
West	8	6	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
180		8.00	0.00	1N	S	+3	+2	1-BELAU-ROEDIGER	7-Morris-Grigoleit
120		6.50	1.50	1N	S	+1	-	9-Bier-Cascino	5-Knutsen-Maegerlein
120		6.50	1.50	1N	S	+1	-	8-ROSENBLAD-BYMERS	3-He-Jentzer
100		5.00	3.00	2♥	W	-1	-1	4-Falkenstein-Sterioff	4-MORLOCK-LARSON
	90	3.50	4.50	2♦	E		-2	2-Vinje-ARGUE	9-CAUCUTT-LEWIS
	90	3.50	4.50	2♣	W		-	7-WIJDICKS-VAN RYN	1-LICHTY-GREENBERG
	100	1.50	6.50	1N	S	-1	-2	6-MATAYA-PRAKASH	8-Nelson-Funk
	100	1.50	6.50	1N	S	-1	-2	5-Miller-Grigoleit	6-Rogelstad-FOCKLER
	300	0.00	8.00	4♠	S	-3	-1	3-Ryder-LONG	2-Butler-Heins

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

11

♠KT962
♥A82
♦-
♣K8632

Dlr: South
Vul: None

♠AJ7
♥T975
♦K6
♣AQJ7

♠Q853
♥J64
♦J85
♣954

♠4
♥KQ3
♦AQT97432
♣T

	10
15		4
	11

Double Dummy Makes

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

LoTT: 16 - 15 = 1
Par: 130 4D-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
1100		8.00	0.00	4♠*	E	-5	-	3-Ryder-LONG	2-Butler-Heins
800		7.00	1.00	4♠*	E	-4	-1	6-MATAYA-PRAKASH	8-Nelson-Funk
250		6.00	2.00	4♠	E	-5	-	2-Vinje-ARGUE	9-CAUCUTT-LEWIS
150		5.00	3.00	4♦	S	+1	+1	9-Bier-Cascino	5-Knutsen-Maegerlein
130		2.50	5.50	4♦	S		-	4-Falkenstein-Sterioff	4-MORLOCK-LARSON
130		2.50	5.50	4♦	S		-	1-BELAU-ROEDIGER	7-Morris-Grigoleit
130		2.50	5.50	4♦	S		-	8-ROSENBLAD-BYMERS	3-He-Jentzer
130		2.50	5.50	3♦	S	+1	-	5-Miller-Grigoleit	6-Rogelstad-FOCKLER
110		0.00	8.00	3♦	S		-1	7-WIJDICKS-VAN RYN	1-LICHTY-GREENBERG

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

12

♠AK3
♥7
♦KJ8753
♣T83

Dlr: West
Vul: N-S

♠97
♥AK8432
♦A6
♣K54

♠Q6
♥QT9
♦942
♣Q9762

♠JT8542
♥J65
♦QT
♣AJ

	11
14		6
	9

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	10	3	9	6
South	4	10	3	9	6
East	8	2	9	2	6
West	8	2	9	2	6

LoTT: 18 - 18 = 0
Par: 100 4H*-EW-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		7.50	0.50	3♠	S	+2	+2	2-Vinje-ARGUE	9-CAUCUTT-LEWIS
200		7.50	0.50	3♠	S	+2	+2	7-WIJDICKS-VAN RYN	1-LICHTY-GREENBERG
130		6.00	2.00	4♦	N		-	1-BELAU-ROEDIGER	7-Morris-Grigoleit
50		5.00	3.00	3♥	W	-1	+1	8-ROSENBLAD-BYMERS	3-He-Jentzer
	110	4.00	4.00	2♥	W		+1	3-Ryder-LONG	2-Butler-Heins
	140	2.00	6.00	3♥	W		-	4-Falkenstein-Sterioff	4-MORLOCK-LARSON
	140	2.00	6.00	3♥	W		-	9-Bier-Cascino	5-Knutsen-Maegerlein
	140	2.00	6.00	3♥	W		-	6-MATAYA-PRAKASH	8-Nelson-Funk
	170	0.00	8.00	2♥	W	+2	-1	5-Miller-Grigoleit	6-Rogelstad-FOCKLER

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

13

♠AK83
♥JT43
♦AT
♣JT7

Dlr: North
Vul: Both

♠J95
♥6
♦KQJ8752
♣K4

♠T7
♥Q9852
♦63
♣9653

♠Q642
♥AK7
♦94
♣AQ82

	13
10		2
	15

Double Dummy Makes

	♣	♦	♥	♠	NT
North	11	6	9	11	10
South	11	7	9	11	10
East	2	6	3	1	2
West	2	6	3	1	2

LoTT: 17 - 17 = 0
Par: 650 5S-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
680		7.50	0.50	4♠	S	+2	+1	5-Miller-Grigoleit	5-Knutsen-Maegerlein
680		7.50	0.50	4♠	S	+2	+1	8-ROSENBLAD-BYMERS	2-Butler-Heins
650		3.50	4.50	4♠	S	+1	-	4-Falkenstein-Sterioff	3-He-Jentzer
650		3.50	4.50	4♠	S	+1	-	3-Ryder-LONG	1-LICHTY-GREENBERG
650		3.50	4.50	4♠	S	+1	-	2-Vinje-ARGUE	8-Nelson-Funk
650		3.50	4.50	4♠	S	+1	-	1-BELAU-ROEDIGER	6-Rogelstad-FOCKLER
650		3.50	4.50	4♠	S	+1	-	9-Bier-Cascino	4-MORLOCK-LARSON
650		3.50	4.50	4♠	S	+1	-	7-WIJDICKS-VAN RYN	9-CAUCUTT-LEWIS
620		0.00	8.00	4♠	S		-1	6-MATAYA-PRAKASH	7-Morris-Grigoleit

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

14

♠JT7
♥K83
♦J92
♣AQJ6

Dlr: East
Vul: None

♠Q953
♥JT64
♦A4
♣T95

♠K642
♥92
♦QT86
♣K43

♠A8
♥AQ75
♦K753
♣872

	12
7		8
	13

Double Dummy Makes

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

LoTT: 15 - 15 = 0
Par: 120 2N-S

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
400		8.00	0.00	3N	N		+2	5-Miller-Grigoleit	5-Knutsen-Maegerlein
120		7.00	1.00	2N	N		+1	2-Vinje-ARGUE	8-Nelson-Funk
	50	4.50	3.50	3N	N	-1	+1	1-BELAU-ROEDIGER	6-Rogelstad-FOCKLER
	50	4.50	3.50	3N	N	-1	+1	9-Bier-Cascino	4-MORLOCK-LARSON
	50	4.50	3.50	3N	N	-1	+1	8-ROSENBLAD-BYMERS	2-Butler-Heins
	50	4.50	3.50	3N	N	-1	+1	6-MATAYA-PRAKASH	7-Morris-Grigoleit
	100	1.00	7.00	3N	N	-2	-	4-Falkenstein-Sterioff	3-He-Jentzer
	100	1.00	7.00	3N	N	-2	-	3-Ryder-LONG	1-LICHTY-GREENBERG
	100	1.00	7.00	3N	S	-2	-1	7-WIJDICKS-VAN RYN	9-CAUCUTT-LEWIS

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

15

♠Q43
♥K2
♦K73
♣AT986

Dlr: South
Vul: N-S

♠J92
♥J7
♦Q92
♣75432

♠A75
♥AQT854
♦J85
♣Q

♠KT86
♥963
♦AT64
♣KJ

	12
4		13
	11

Double Dummy Makes

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

LoTT: 16 - 15 = 1
Par: 120 2N-N

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
170		8.00	0.00	3♠	N	+1	+2	7-WIJDICKS-VAN RYN	9-CAUCUTT-LEWIS
140		7.00	1.00	3♠	N		+1	6-MATAYA-PRAKASH	7-Morris-Grigoleit
110		6.00	2.00	3♣	N		-	4-Falkenstein-Sterioff	3-He-Jentzer
100		5.00	3.00	2♥	E	-2	+1	3-Ryder-LONG	1-LICHTY-GREENBERG
50		4.00	4.00	2♥	E	-1	-	9-Bier-Cascino	4-MORLOCK-LARSON
	100	2.00	6.00	4♠	N	-1	+1	5-Miller-Grigoleit	5-Knutsen-Maegerlein
	100	2.00	6.00	2N	N	-1	-1	1-BELAU-ROEDIGER	6-Rogelstad-FOCKLER
	100	2.00	6.00	3♠	S	-1	-	8-ROSENBLAD-BYMERS	2-Butler-Heins
	110	0.00	8.00	2♥	E		-1	2-Vinje-ARGUE	8-Nelson-Funk

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

16

♠7542
♥Q876
♦K73
♣T9

Dlr: West
Vul: E-W

♠J6
♥KJT42
♦2
♣AQJ86

♠KQT83
♥A953
♦T6
♣52

♠A9
♥-
♦AQJ9854
♣K743

	5
12		9
	14

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	9	2	3	4
South	4	9	2	3	4
East	9	4	11	10	5
West	9	4	11	10	5

LoTT: 20 - 19 = 1
Par: -500 6D*-NS-3

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		7.50	0.50	5♥*	W	-1	+1	6-MATAYA-PRAKASH	6-Rogelstad-FOCKLER
200		7.50	0.50	5♥	W	-2	+2	8-ROSENBLAD-BYMERS	1-LICHTY-GREENBERG
	50	5.50	2.50	5♦	S	-1	+1	1-BELAU-ROEDIGER	5-Knutsen-Maegerlein
	50	5.50	2.50	5♦	S	-1	+1	7-WIJDICKS-VAN RYN	8-Nelson-Funk
	300	3.50	4.50	5♦*	S	-2	-	3-Ryder-LONG	9-CAUCUTT-LEWIS
	300	3.50	4.50	5♦*	S	-2	-	9-Bier-Cascino	3-He-Jentzer
	620	2.00	6.00	4♥	W		+1	4-Falkenstein-Sterioff	2-Butler-Heins
	650	0.50	7.50	4♥	W	+1	-	5-Miller-Grigoleit	4-MORLOCK-LARSON
	650	0.50	7.50	4♥	W	+1	-	2-Vinje-ARGUE	7-Morris-Grigoleit

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

17

♠AKT86
♥432
♦A85
♣K9

Dlr: North
Vul: None

♠J5
♥AKT85
♦K74
♣T62

♠732
♥96
♦Q932
♣A875

♠Q94
♥QJ7
♦JT6
♣QJ43

	14
11		6
	9

Double Dummy Makes

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

LoTT: 15 - 15 = 0
Par: 110 2S-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		6.50	1.50	3♠	N		+1	5-Miller-Grigoleit	4-MORLOCK-LARSON
140		6.50	1.50	2♠	N	+1	+1	4-Falkenstein-Sterioff	2-Butler-Heins
140		6.50	1.50	2♠	N	+1	+1	1-BELAU-ROEDIGER	5-Knutsen-Maegerlein
140		6.50	1.50	2♠	N	+1	+1	7-WIJDICKS-VAN RYN	8-Nelson-Funk
110		3.00	5.00	2♠	N		-	6-MATAYA-PRAKASH	6-Rogelstad-FOCKLER
110		3.00	5.00	2♠	N		-	3-Ryder-LONG	9-CAUCUTT-LEWIS
110		3.00	5.00	2♠	N		-	8-ROSENBLAD-BYMERS	1-LICHTY-GREENBERG
	50	0.50	7.50	4♠	N	-1	+1	2-Vinje-ARGUE	7-Morris-Grigoleit
	50	0.50	7.50	3♠	N	-1	-	9-Bier-Cascino	3-He-Jentzer

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

18

♠97632
♥K75
♦Q4
♣K75

Dlr: East
Vul: N-S

♠Q85
♥AJ6
♦T8632
♣T9

♠JT4
♥T3
♦AJ9
♣Q8643

♠AK
♥Q9842
♦K75
♣AJ2

	8
7		8
	17

Double Dummy Makes

	♣	♦	♥	♠	NT
North	8	7	10	9	9
South	8	7	10	9	7
East	5	6	3	4	4
West	5	6	3	4	4

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

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
630		8.00	0.00	3N	S	+1	+3	2-Vinje-ARGUE	7-Morris-Grigoleit
620		7.00	1.00	4♥	S		-	1-BELAU-ROEDIGER	5-Knutsen-Maegerlein
600		6.00	2.00	3N	S		+2	4-Falkenstein-Sterioff	2-Butler-Heins
170		4.00	4.00	3♠	S	+1	+1	3-Ryder-LONG	9-CAUCUTT-LEWIS
170		4.00	4.00	3♥	S	+1	-	8-ROSENBLAD-BYMERS	1-LICHTY-GREENBERG
170		4.00	4.00	3♥	S	+1	-	7-WIJDICKS-VAN RYN	8-Nelson-Funk
140		2.00	6.00	2♠	S	+1	-	9-Bier-Cascino	3-He-Jentzer
	100	1.00	7.00	4♥	S	-1	-1	6-MATAYA-PRAKASH	6-Rogelstad-FOCKLER
	300	0.00	8.00	3N	S	-3	-1	5-Miller-Grigoleit	4-MORLOCK-LARSON

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

19

♠T3
♥AJ6
♦KT943
♣952

Dlr: South
Vul: E-W

♠Q9
♥9872
♦A862
♣AT4

♠J82
♥T54
♦J75
♣KQJ6

♠AK7654
♥KQ3
♦Q
♣873

	8
10		8
	14

Double Dummy Makes

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

LoTT: 14 - 15 = -1
Par: 110 2S-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		7.00	1.00	2♠	S	+1	+1	6-MATAYA-PRAKASH	5-Knutsen-Maegerlein
140		7.00	1.00	2♠	S	+1	+1	1-BELAU-ROEDIGER	4-MORLOCK-LARSON
140		7.00	1.00	2♠	S	+1	+1	8-ROSENBLAD-BYMERS	9-CAUCUTT-LEWIS
110		3.50	4.50	2♠	S		-	7-WIJDICKS-VAN RYN	7-Morris-Grigoleit
110		3.50	4.50	2♠	S		-	5-Miller-Grigoleit	3-He-Jentzer
110		3.50	4.50	2♠	S		-	4-Falkenstein-Sterioff	1-LICHTY-GREENBERG
110		3.50	4.50	2♠	S		-	2-Vinje-ARGUE	6-Rogelstad-FOCKLER
	50	0.50	7.50	2♠	S	-1	-1	3-Ryder-LONG	8-Nelson-Funk
	50	0.50	7.50	1N	N	-1	-1	9-Bier-Cascino	2-Butler-Heins

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

20

♠AQ873
♥93
♦AJT
♣T54

Dlr: West
Vul: Both

♠T6
♥QJ82
♦K9762
♣K2

♠K942
♥K
♦854
♣QJ863

♠J5
♥AT7654
♦Q3
♣A97

	11
9		9
	11

Double Dummy Makes

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

LoTT: 15 - 16 = -1
Par: 120 2N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		7.00	1.00	2♥	S	+1	+1	4-Falkenstein-Sterioff	1-LICHTY-GREENBERG
140		7.00	1.00	3♥	S		+1	2-Vinje-ARGUE	6-Rogelstad-FOCKLER
140		7.00	1.00	3♥	S		+1	9-Bier-Cascino	2-Butler-Heins
110		4.50	3.50	2♥	S		-	3-Ryder-LONG	8-Nelson-Funk
110		4.50	3.50	2♥	S		-	1-BELAU-ROEDIGER	4-MORLOCK-LARSON
	100	2.50	5.50	4♥	S	-1	+1	7-WIJDICKS-VAN RYN	7-Morris-Grigoleit
	100	2.50	5.50	2♥	S	-1	-1	6-MATAYA-PRAKASH	5-Knutsen-Maegerlein
	200	0.50	7.50	3N	S	-2	-1	5-Miller-Grigoleit	3-He-Jentzer
	200	0.50	7.50	3N	N	-2	-1	8-ROSENBLAD-BYMERS	9-CAUCUTT-LEWIS

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

21

♠T8642
♥T983
♦J97
♣J

Dlr: North
Vul: N-S

♠AQ
♥KQ6
♦AQ
♣QT9642

♠K97
♥54
♦KT842
♣A75

♠J53
♥AJ72
♦653
♣K83

	2
19		10
	9

Double Dummy Makes

	♣	♦	♥	♠	NT
North	2	2	4	4	2
South	2	2	4	4	2
East	11	11	9	9	11
West	11	11	8	8	11

LoTT: 15 - 17 = -2
Par: -460 5N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	430	7.50	0.50	3N	E	+1	+1	4-Falkenstein-Sterioff	1-LICHTY-GREENBERG
	430	7.50	0.50	3N	W	+1	+1	3-Ryder-LONG	8-Nelson-Funk
	460	4.50	3.50	3N	W	+2	-	7-WIJDICKS-VAN RYN	7-Morris-Grigoleit
	460	4.50	3.50	3N	W	+2	-	5-Miller-Grigoleit	3-He-Jentzer
	460	4.50	3.50	3N	W	+2	-	2-Vinje-ARGUE	6-Rogelstad-FOCKLER
	460	4.50	3.50	3N	W	+2	-	8-ROSENBLAD-BYMERS	9-CAUCUTT-LEWIS
	490	1.00	7.00	3N	W	+3	-1	6-MATAYA-PRAKASH	5-Knutsen-Maegerlein
	490	1.00	7.00	3N	W	+3	-1	1-BELAU-ROEDIGER	4-MORLOCK-LARSON
	490	1.00	7.00	3N	W	+3	-1	9-Bier-Cascino	2-Butler-Heins

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

22

♠K
♥Q9832
♦AK842
♣52

Dlr: East
Vul: E-W

♠J9
♥AK65
♦J
♣AJ9743

♠QT8753
♥4
♦9763
♣KQ

♠A642
♥JT7
♦QT5
♣T86

	12
14		7
	7

Double Dummy Makes

	♣	♦	♥	♠	NT
North	3	8	7	3	5
South	3	8	7	3	5
East	9	4	5	7	6
West	9	4	5	7	6

LoTT: 17 - 16 = 1
Par: -100 3D*-NS-1

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
140		8.00	0.00	3♥	N		+2	5-Miller-Grigoleit	2-Butler-Heins
	50	5.50	2.50	3♥	N	-1	+1	8-ROSENBLAD-BYMERS	8-Nelson-Funk
	50	5.50	2.50	4♥	S	-1	+2	4-Falkenstein-Sterioff	9-CAUCUTT-LEWIS
	50	5.50	2.50	3♥	N	-1	+1	3-Ryder-LONG	7-Morris-Grigoleit
	50	5.50	2.50	3♥	N	-1	+1	1-BELAU-ROEDIGER	3-He-Jentzer
	100	3.00	5.00	3♥	N	-2	-	7-WIJDICKS-VAN RYN	6-Rogelstad-FOCKLER
	130	2.00	6.00	3♣	W	+1	-1	6-MATAYA-PRAKASH	4-MORLOCK-LARSON
	170	1.00	7.00	2♠	E	+2	-3	9-Bier-Cascino	1-LICHTY-GREENBERG
	200	0.00	8.00	3N	N	-4	-	2-Vinje-ARGUE	5-Knutsen-Maegerlein

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

23

♠8754
♥A84
♦87
♣KJ82

Dlr: South
Vul: Both

♠T962
♥T7
♦Q9
♣QT743

♠AKQJ
♥QJ52
♦KT2
♣A5

♠3
♥K963
♦AJ6543
♣96

	8
4		20
	8

Double Dummy Makes

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

LoTT: 17 - 16 = 1
Par: -140 3S-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
200		7.00	1.00	3N	E	-2	-	7-WIJDICKS-VAN RYN	6-Rogelstad-FOCKLER
200		7.00	1.00	4♠	W	-2	+1	2-Vinje-ARGUE	5-Knutsen-Maegerlein
200		7.00	1.00	3N	E	-2	-	9-Bier-Cascino	1-LICHTY-GREENBERG
100		4.50	3.50	4♠	W	-1	-	4-Falkenstein-Sterioff	9-CAUCUTT-LEWIS
100		4.50	3.50	4♠	E	-1	-	3-Ryder-LONG	7-Morris-Grigoleit
	140	2.50	5.50	2♠	W	+1	-	8-ROSENBLAD-BYMERS	8-Nelson-Funk
	140	2.50	5.50	3♠	E		-	6-MATAYA-PRAKASH	4-MORLOCK-LARSON
	600	0.50	7.50	3N	E		-2	5-Miller-Grigoleit	2-Butler-Heins
	600	0.50	7.50	3N	E		-2	1-BELAU-ROEDIGER	3-He-Jentzer

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

24

♠J5
♥AT93
♦Q73
♣J975

Dlr: West
Vul: None

♠A843
♥5
♦K9865
♣A63

♠762
♥QJ7642
♦AJ
♣K2

♠KQT9
♥K8
♦T42
♣QT84

	8
11		11
	10

Double Dummy Makes

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

LoTT: 15 - 15 = 0
Par: -140 3H-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
100		7.50	0.50	3♥	E	-2	+2	8-ROSENBLAD-BYMERS	8-Nelson-Funk
100		7.50	0.50	3N	W	-2	+1	5-Miller-Grigoleit	2-Butler-Heins
50		6.00	2.00	3♥	E	-1	+1	4-Falkenstein-Sterioff	9-CAUCUTT-LEWIS
	110	3.00	5.00	2♥	E		+1	7-WIJDICKS-VAN RYN	6-Rogelstad-FOCKLER
	110	3.00	5.00	2♥	E		+1	6-MATAYA-PRAKASH	4-MORLOCK-LARSON
	110	3.00	5.00	2♥	E		+1	3-Ryder-LONG	7-Morris-Grigoleit
	110	3.00	5.00	3♦	W		-1	2-Vinje-ARGUE	5-Knutsen-Maegerlein
	110	3.00	5.00	2♥	E		+1	9-Bier-Cascino	1-LICHTY-GREENBERG
	140	0.00	8.00	2♥	E	+1	-	1-BELAU-ROEDIGER	3-He-Jentzer

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

25

♠87
♥AJT
♦A98653
♣Q5

Dlr: North
Vul: E-W

♠J94
♥73
♦K4
♣KJ8632

♠Q653
♥K842
♦QT2
♣A4

♠AKT2
♥Q965
♦J7
♣T97

	11
8		11
	10

Double Dummy Makes

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

LoTT: 16 - 16 = 0
Par: 90 2D-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
110		7.00	1.00	2♦	N	+1	+1	7-WIJDICKS-VAN RYN	5-Knutsen-Maegerlein
110		7.00	1.00	2♥	S		+1	4-Falkenstein-Sterioff	8-Nelson-Funk
110		7.00	1.00	2♥	S		+1	1-BELAU-ROEDIGER	2-Butler-Heins
90		4.50	3.50	2♦	N		-	9-Bier-Cascino	9-CAUCUTT-LEWIS
90		4.50	3.50	2♦	N		-	2-Vinje-ARGUE	4-MORLOCK-LARSON
Pass		2.50	5.50	Pass Out			-	6-MATAYA-PRAKASH	3-He-Jentzer
Pass		2.50	5.50	Pass Out			-	3-Ryder-LONG	6-Rogelstad-FOCKLER
	50	1.00	7.00	2♦	N	-1	-1	8-ROSENBLAD-BYMERS	7-Morris-Grigoleit
	100	0.00	8.00	4♦	N	-2	-	5-Miller-Grigoleit	1-LICHTY-GREENBERG

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

26

♠QT86
♥T3
♦6543
♣T82

Dlr: East
Vul: Both

♠K72
♥97
♦JT7
♣AKQJ9

♠J93
♥AKQJ84
♦AK2
♣5

♠A54
♥652
♦Q98
♣7643

	2
14		18
	6

Double Dummy Makes

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

LoTT: 15 - 15 = 0
Par: -1440 6N-EW

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
	650	8.00	0.00	4♥	E	+1	+1	5-Miller-Grigoleit	1-LICHTY-GREENBERG
	680	4.50	3.50	5♥	E	+1	-	8-ROSENBLAD-BYMERS	7-Morris-Grigoleit
	680	4.50	3.50	5♥	E	+1	-	6-MATAYA-PRAKASH	3-He-Jentzer
	680	4.50	3.50	5♥	E	+1	-	4-Falkenstein-Sterioff	8-Nelson-Funk
	680	4.50	3.50	5♥	E	+1	-	3-Ryder-LONG	6-Rogelstad-FOCKLER
	680	4.50	3.50	4♥	E	+2	-	2-Vinje-ARGUE	4-MORLOCK-LARSON
	680	4.50	3.50	5♥	E	+1	-	1-BELAU-ROEDIGER	2-Butler-Heins
	710	1.00	7.00	4♥	E	+3	-1	7-WIJDICKS-VAN RYN	5-Knutsen-Maegerlein
	1430	0.00	8.00	6♥	E		-	9-Bier-Cascino	9-CAUCUTT-LEWIS

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

27

♠AQ
♥J5
♦Q842
♣Q9853

Dlr: South
Vul: None

♠8765
♥83
♦T9653
♣T2

♠JT9432
♥K94
♦J7
♣K7

♠K
♥AQT762
♦AK
♣AJ64

	11
0		8
	21

Double Dummy Makes

	♣	♦	♥	♠	NT
North	13	11	12	8	13
South	13	11	12	8	13
East	0	2	1	5	0
West	0	2	0	4	0

LoTT: 18 - 19 = -1
Par: 1520 7N-NS

N-S	E-W	N-S	E-W	Contract			ETF	N-S	E-W
1010		8.00	0.00	6♥	S	+1	+1	7-WIJDICKS-VAN RYN	5-Knutsen-Maegerlein
990		6.50	1.50	6N	N		-1	6-MATAYA-PRAKASH	3-He-Jentzer
990		6.50	1.50	6N	N		-1	1-BELAU-ROEDIGER	2-Butler-Heins
980		4.50	3.50	6♥	S		-	4-Falkenstein-Sterioff	8-Nelson-Funk
980		4.50	3.50	6♥	S		-	3-Ryder-LONG	6-Rogelstad-FOCKLER
920		3.00	5.00	6♣	S		-1	8-ROSENBLAD-BYMERS	7-Morris-Grigoleit
480		1.50	6.50	4♥	S	+2	-	5-Miller-Grigoleit	1-LICHTY-GREENBERG
480		1.50	6.50	4♥	S	+2	-	2-Vinje-ARGUE	4-MORLOCK-LARSON
130		0.00	8.00	3♦	S	+1	-1	9-Bier-Cascino	9-CAUCUTT-LEWIS

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