Main     Simulation 8Z14 by Richard Pavlicek    

Long Suit or Punt V

[First read Part I, II, III and IV]. Jim Munday asked (on a Tuesday but who's counting) how the numbers would be affected if West had "a little something" on the side but no obvious entry. Logically the gap would narrow. Let's see how much.

As West, suppose you have:

Both Vul
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
Table


West

Pass

North

3 NT

East

All Pass

South
1 NT

3 NT South

Should you lead the S 10, H 10 or D J? The club holding offers potential to be a later entry, which fuels the case for a heart; but there's hardly any assurance, so a spade might still be better. I suspect this will be close.

To determine the best lead I created 10,000 random deals with the West hand fixed, and North-South constrained to fit the bidding: South HCP 15-17; freakness less than 3 (balanced); with a 5-card major, doubleton must be J-x or better; North HCP 9-14 (max 14 revalued points); freakness less than 5; no 4-card major unless 4-3-3-3 shape.

A split decision. The S 10 wins at total points and IMPs (barely), while the H 10 wins at matchpoints. In fact the S 10 is last at matchpoints, beaten by the D J as well. It might be interesting to see how strong the club holding has to be for the H 10 to win at IMPs: C Q-8-7? Q-9-2? But then again, it might bore you to death.

I should clarify that the results of these simulations (Parts I-V) apply only to the given auction, where partner had no chance to bid below the four level. Some of the cases for a successful short-suit lead would be eliminated if partner eschewed the opportunity to act at a low level, and I may follow this up with additional simulations in that vein.

Results for 10,000 Deals
LeadTrick AvgMake PctMatchpointsTotal PointsIMPs
S 1010.10887.4720616 51.54639830 45.2812315 47.43
H 1010.10288.6819549 48.87700730 49.5912665 48.78
D J10.12189.5419835 49.59779120 55.1313967 53.79

All numbers are relative to the declaring side, so the lowest number in each column is best for the defense. Trick Avg shows the average number of tricks won by declarer. Make Pct shows the percent of time the contract is made. The last three columns total the raw plus swings going to declarer and show the effective scoring percent of each lead. Raw matchpoints follow the European style of 2 for a win, 1 for a tie.

Below are 100 of the 10,000 deals, including the first 10 and last 10, and selected deals in-between where the lead made a significant difference. The number of tricks won by declarer is shown for each lead, assuming double-dummy play by both sides thereafter.

Seed B61EAC09 10000
W:T2.T9876.JT9.Q82
#SP15-17F[3s[5~g1[1h[5~g1[1NP9-14R[15F[5=0~s[4F=0~h[4
Vul B Contract 3n Leads s10 h10 dJ

1.
S K 8 7 5
H A 3 2
D K 8 5
C A 10 7
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A J 9 4 3
H Q 5
D 6 4
C J 6 5 4

S 10 11
H 10 11
D J 11
S Q 6
H K J 4
D A Q 7 3 2
C K 9 3


2.
S K J 4
H Q J
D Q 3
C J 10 7 6 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 8 6 5 3
H A K 5 4
D K 8 5 4
C 9

S 10 7
H 10 7
D J 7
S A Q 9 7
H 3 2
D A 7 6 2
C A K 5


3.
S 7 4 3
H Q J 4
D K Q
C J 9 7 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K J 9 6 5
H A K 2
D 7 3 2
C 10 6

S 10 9
H 10 10
D J 10
S A Q 8
H 5 3
D A 8 6 5 4
C A K 3


4.
S A 7 5
H K 3 2
D A Q 7 6
C 10 7 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 8 6 4
H A 5 4
D 4 2
C K J 6 4

S 10 11
H 10 11
D J 11
S K Q 9 3
H Q J
D K 8 5 3
C A 9 3


5.
S 8 7
H Q J 4
D K 8 7 5 2
C K J 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A J 9 4
H A 3
D Q 6
C 10 9 7 6 3

S 10 10
H 10 10
D J 10
S K Q 6 5 3
H K 5 2
D A 4 3
C A 4


6.
S Q J 9 7
H A 5 3
D Q 6 4
C 10 6 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K 6 3
H J 4 2
D A 8 7 3
C K 9 4

S 10 10
H 10 10
D J 9
S A 8 5 4
H K Q
D K 5 2
C A J 7 5


7.
S A 5
H A 5 2
D 7 5 4 3
C A 7 5 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 9 8 7 6 3
H Q 3
D A Q 2
C J 6 4

S 10 11
H 10 11
D J 11
S K Q J 4
H K J 4
D K 8 6
C K 10 9


8.
S A 9 7
H K J 5
D K 8 7
C 10 9 7 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q J 8 6 5
H Q 4 2
D A Q 6
C 5 3

S 10 8
H 10 8
D J 8
S K 4 3
H A 3
D 5 4 3 2
C A K J 4


9.
S K 7 3
H J 3
D K Q 2
C J 7 6 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 9 6 4
H K 5 2
D A 6 3
C 10 9 5

S 10 9
H 10 8
D J 8
S Q J 8 5
H A Q 4
D 8 7 5 4
C A K


10.
S Q 8
H A 5 3
D K 8
C A 9 7 6 5 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K 7 6
H 4 2
D 7 6 5 4 2
C 10 4

S 10 11
H 10 12
D J 12
S J 9 5 4 3
H K Q J
D A Q 3
C K J


TopMain

19.
S K 5 3
H A 5 4 2
D 7 6 4
C K 10 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q 8 7 6 4
H J
D K Q 8 5 3
C A 7

S 10 11
H 10 11
D J 8
S A J 9
H K Q 3
D A 2
C J 9 6 5 4


22.
S Q 8 5
H Q J 5
D 5 3
C A 10 9 7 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 4 3
H 4 3 2
D A K Q 8 7
C K 4

S 10 9
H 10 9
D J 8
S A K 9 7 6
H A K
D 6 4 2
C J 5 3


23.
S Q 6 4
H A Q 3
D 6 3 2
C K 7 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K 9 5 3
H J
D Q 8 7
C 10 9 4 3

S 10 8
H 10 9
D J 9
S J 8 7
H K 5 4 2
D A K 5 4
C A J


38.
S A 4 3
H A 3 2
D 6 5 3 2
C J 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K Q 9 6 5
H Q J 5
D A 8 7
C 10 9

S 10 8
H 10 9
D J 10
S J 8 7
H K 4
D K Q 4
C A K 7 4 3


50.
S K 9 4
H A K 5
D 8 6 4 2
C J 7 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q J
H 4 3
D K 7 5 3
C 10 9 6 4

S 10 9
H 10 9
D J 8
S 8 7 6 5 3
H Q J 2
D A Q
C A K 3


67.
S 9 7 6
H J 4 2
D K Q
C K J 10 9 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K Q 5 4
H K 5 3
D 8 7 6
C 7 4

S 10 8
H 10 12
D J 12
S J 8 3
H A Q
D A 5 4 3 2
C A 6 3


76.
S J 9 5
H K 4 2
D A Q 8
C J 9 7 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K 8 7 4 3
H J 3
D K 7 5 4
C 6

S 10 8
H 10 9
D J 7
S Q 6
H A Q 5
D 6 3 2
C A K 10 5 4


80.
S Q 8 7 5
H A Q 5
D 8 7 5
C J 9 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K 9 4 3
H K 4 2
D Q 6 3 2
C K 10

S 10 9
H 10 8
D J 9
S A J 6
H J 3
D A K 4
C A 7 5 4 3


86.
S K 6 3
H J 4 3
D A Q 3 2
C J 10 7
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q J 8 7 5
H Q 5 2
D K 4
C K 9 5

S 10 8
H 10 9
D J 9
S A 9 4
H A K
D 8 7 6 5
C A 6 4 3


88.
S 7 5 4
H A J
D A Q 5 3 2
C 5 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 9 8
H K 5 4 2
D 7 6
C A 10 9 7

S 10 11
H 10 7
D J 11
S K Q J 6 3
H Q 3
D K 8 4
C K J 6


TopMain

90.
S K 8 7
H Q 2
D K 4 3
C J 10 9 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q J
H J 5 4
D 8 7 6 2
C K 7 3

S 10 8
H 10 9
D J 9
S 9 6 5 4 3
H A K 3
D A Q 5
C A 6


100.
S Q 6 4
H J 2
D K Q 8 5 3
C K 10 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K J 9 8 3
H K 5 4
D 7 4
C 5 3

S 10 7
H 10 12
D J 12
S 7 5
H A Q 3
D A 6 2
C A J 9 7 4


106.
S J 4
H 3 2
D K Q 8 7 6 2
C A 7 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q 9 8 6 5
H A K J 4
D
C J 10 5 3

S 10 10
H 10 8
D J 10
S A K 7 3
H Q 5
D A 5 4 3
C K 9 4


108.
S J 7 6
H K J
D K 8 7 6
C K J 9 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 9 8 5 4
H A Q 4
D Q 4 3
C 7 5 4

S 10 11
H 10 8
D J 10
S A K Q 3
H 5 3 2
D A 5 2
C A 10 3


109.
S A J 4
H A J 3
D 8 5 3
C 10 9 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 8 6 5 3
H 5 4
D A K Q 4 2
C J 6

S 10 9
H 10 9
D J 8
S K Q 9 7
H K Q 2
D 7 6
C A K 7 5


112.
S K J
H Q J 4
D 4 3 2
C K 7 5 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 9 8 6 5 4 3
H A 3
D A 8 6
C 10

S 10 6
H 10 8
D J 9
S Q 7
H K 5 2
D K Q 7 5
C A J 9 6


124.
S A 7
H Q 4
D 8 4 3 2
C K 7 6 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 8 6 4
H A J 3 2
D Q 7 6
C A 3

S 10 10
H 10 8
D J 10
S K Q 9 5 3
H K 5
D A K 5
C J 10 9


143.
S Q J 5
H J 4 3 2
D 7 6 4
C A J 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K 9 4 3
H
D K 5 2
C K 9 6 5 4

S 10 8
H 10 9
D J 9
S 8 7 6
H A K Q 5
D A Q 8 3
C 10 7


145.
S A 9 7
H 3 2
D K 7 2
C A 10 9 7 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 8 6 5 3
H A K J 4
D Q 5
C 5 4

S 10 10
H 10 8
D J 10
S K Q 4
H Q 5
D A 8 6 4 3
C K J 3


157.
S Q 7
H J 4
D A K Q 8 3
C J 10 7 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 9 8 6 5 4 3
H A 3 2
D 7 4
C 6

S 10 8
H 10 10
D J 10
S K J
H K Q 5
D 6 5 2
C A K 9 5 3


TopMain

158.
S 9 7 6
H A 4
D A Q 7 6 5 2
C 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 5 3
H 5 3 2
D 8 3
C A K J 7 6

S 10 7
H 10 9
D J 9
S K Q J 8 4
H K Q J
D K 4
C 10 9 3


165.
S 8 6
H K 3
D A Q 8 7 6 4
C 9 7 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 9 4 3
H Q 5 4
D 2
C A K 10 6 5

S 10 7
H 10 9
D J 9
S K Q J 7 5
H A J 2
D K 5 3
C J 4


200.
S K 8 5
H Q 4
D A Q 7
C K 6 5 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 9 7 6
H A K 5 3
D 8 4 2
C 9 7

S 10 13
H 10 8
D J 13
S A Q 4 3
H J 2
D K 6 5 3
C A J 10


207.
S Q 9 8
H A Q
D 8 6 5 2
C A 10 9 7
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A J 7 5 4
H J 4 3 2
D K
C J 4 3

S 10 10
H 10 8
D J 10
S K 6 3
H K 5
D A Q 7 4 3
C K 6 5


214.
S 8 4
H J 4 2
D K Q 8
C K 10 7 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q J 7 5 3
H Q
D 7 6 5 3 2
C A

S 10 7
H 10 11
D J 11
S K 9 6
H A K 5 3
D A 4
C J 9 6 3


220.
S Q 9
H A J 4
D Q 6 3
C J 9 7 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 7 6 5 3
H K 2
D A 7 5 4
C A 6

S 10 9
H 10 9
D J 8
S A K 8 4
H Q 5 3
D K 8 2
C K 10 3


222.
S 7 6 3
H A K 5 4
D A 3 2
C 10 9 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K Q 9 4
H 3 2
D 5 4
C J 7 5 4

S 10 8
H 10 11
D J 11
S J 8 5
H Q J
D K Q 8 7 6
C A K 3


241.
S K 9 3
H A 3
D A 6 4 3 2
C 9 6 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 8 6 5 4
H K J 5 2
D K
C K 10 5 3

S 10 10
H 10 8
D J 10
S A Q J 7
H Q 4
D Q 8 7 5
C A J 7


244.
S J 9 8 3
H Q J 4
D A 4 3
C J 9 7
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K Q 7 5
H A K 5
D 8 7 5
C 6 5 4

S 10 9
H 10 8
D J 9
S A 6 4
H 3 2
D K Q 6 2
C A K 10 3


249.
S J 5 4
H 5
D Q 8 7 5 4
C A K J 9
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q 9 7 6 3
H J 2
D A 6
C 10 7 6

S 10 8
H 10 11
D J 11
S K 8
H A K Q 4 3
D K 3 2
C 5 4 3


TopMain

251.
S 9 4
H J 5 3
D K 6 4 2
C A K 10 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 7 6 5 3
H 2
D A Q 8 7
C J 9 4

S 10 10
H 10 10
D J 8
S K Q J 8
H A K Q 4
D 5 3
C 7 6 3


263.
S A 9 6 5
H A Q J
D 7 4 3
C 9 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K 8 3
H 5 4
D K Q 8 5 2
C J 4 3

S 10 9
H 10 9
D J 8
S Q J 7 4
H K 3 2
D A 6
C A K 10 7


283.
S K 9 3
H K 2
D 7 6 5 2
C K 10 6 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q 7 4
H A J 5
D 4 3
C J 9 5 3

S 10 9
H 10 8
D J 9
S J 8 6 5
H Q 4 3
D A K Q 8
C A 7


296.
S 9 7 5
H K Q 4
D A 7 4 2
C 9 6 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K Q J 3
H J 5 2
D 8 6 5
C 10 4

S 10 8
H 10 9
D J 9
S 8 6 4
H A 3
D K Q 3
C A K J 7 5


301.
S A K 7
H 4 2
D K 6 3 2
C J 10 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q J 9 6 4
H Q J
D Q 4
C K 9 7 4

S 10 8
H 10 9
D J 9
S 8 5 3
H A K 5 3
D A 8 7 5
C A 3


308.
S Q 9 6
H 5
D A Q 8 7 2
C K 9 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A J 8 5
H K Q J 3 2
D 3
C 10 7 4

S 10 10
H 10 8
D J 10
S K 7 4 3
H A 4
D K 6 5 4
C A J 3


320.
S K 8 3
H Q 3
D Q 8 5
C K 10 9 6 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q 9 6 4
H J 2
D A 7 2
C J 5 3

S 10 8
H 10 9
D J 9
S J 7 5
H A K 5 4
D K 6 4 3
C A 7


339.
S K 7 3
H 5 3
D A Q 8 2
C 10 9 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 9 6 5 4
H K Q J
D K 7 3
C K 7 5

S 10 9
H 10 9
D J 8
S A Q J 8
H A 4 2
D 6 5 4
C A J 6


341.
S 9 8
H K Q J
D Q 6 4 2
C J 10 7 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K Q J 5 4 3
H A 4 3
D K
C 9 6 5

S 10 7
H 10 9
D J 8
S A 7 6
H 5 2
D A 8 7 5 3
C A K 4


354.
S K 9 6
H J
D Q 7 6 5
C K 10 9 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 8 7 4 3
H A Q 3 2
D 8 4
C J 7

S 10 9
H 10 8
D J 9
S Q J 5
H K 5 4
D A K 3 2
C A 6 5


TopMain

374.
S 4 3
H A 2
D A K 7 5 2
C 10 9 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K Q 9 7 6 5
H 4 3
D 6 3
C J 7

S 10 6
H 10 11
D J 11
S J 8
H K Q J 5
D Q 8 4
C A K 4 3


376.
S Q 8 7 5
H Q 4 3
D Q 8 7
C K 9 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K 9 4
H A K 5
D K 3 2
C 7 6 4 3

S 10 9
H 10 9
D J 8
S A J 6 3
H J 2
D A 6 5 4
C A J 10


379.
S 8 4
H 4 3 2
D A Q 8 3
C K J 9 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 9 7 6
H A J 5
D 7 6 5
C A 6 4

S 10 11
H 10 8
D J 11
S A K Q 5 3
H K Q
D K 4 2
C 10 7 5


391.
S K 6 4
H A 2
D Q 8 4
C K J 9 7 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 9 7 5 3
H 5 4 3
D A K 7 3 2
C 10

S 10 12
H 10 12
D J 8
S A Q J 8
H K Q J
D 6 5
C A 6 5 3


401.
S J 6
H Q J 4
D K 8 4 3
C K J 6 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K Q 8 5 4 3
H 5 3
D 7 2
C 10 4

S 10 6
H 10 11
D J 11
S 9 7
H A K 2
D A Q 6 5
C A 9 7 5


403.
S J 7 6
H K 4 3
D A 8 4
C J 9 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q 9 8 4
H J 5 2
D K Q 3
C K 6 3

S 10 9
H 10 8
D J 9
S A K 5 3
H A Q
D 7 6 5 2
C A 10 7


408.
S 9 7 5
H A K 3 2
D K 3 2
C 10 7 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K 8 6 3
H 4
D 8 7 5 4
C A 6 5

S 10 8
H 10 9
D J 9
S Q J 4
H Q J 5
D A Q 6
C K J 9 3


409.
S J 7
H Q 2
D A K 5 3 2
C J 9 7 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K 8 5
H J 5 4 3
D 6 4
C K 10 5

S 10 9
H 10 8
D J 9
S Q 9 6 4 3
H A K
D Q 8 7
C A 6 4


410.
S J 7 4
H 3 2
D K Q 8 5
C K 10 9 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K Q 8 6 3
H A K J 4
D 4 3
C 7 5

S 10 9
H 10 8
D J 9
S A 9 5
H Q 5
D A 7 6 2
C A J 4 3


443.
S K J 4
H K J 2
D 6 4 3
C A 5 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q 9 8
H 4 3
D K Q 7 5 2
C K 10 6

S 10 9
H 10 9
D J 8
S A 7 6 5 3
H A Q 5
D A 8
C J 9 7


TopMain

459.
S A 7 5
H A Q
D 8 3 2
C 10 9 7 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K J 8 3
H J 3
D A 7 6 4
C K 4 3

S 10 9
H 10 8
D J 9
S Q 9 6 4
H K 5 4 2
D K Q 5
C A J


460.
S Q 8
H K Q 4
D 8 5 4 3
C K 7 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K J 9 6 5 4
H A
D K 7 6
C J 10 5

S 10 7
H 10 9
D J 10
S A 7 3
H J 5 3 2
D A Q 2
C A 9 6


461.
S A Q
H Q 3
D A 7 6 2
C J 10 9 7 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 9 7 3
H A 5 4 2
D K 8 5
C 6 3

S 10 9
H 10 8
D J 9
S K 8 6 5 4
H K J
D Q 4 3
C A K 4


470.
S 9 7
H A J 3
D K 5 2
C K J 6 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 8 6 5 3
H 5
D A Q 8 7 6
C 9 3

S 10 11
H 10 11
D J 7
S K Q J 4
H K Q 4 2
D 4 3
C A 10 7


485.
S J 7 5 3
H A J 3
D K 6 4
C J 10 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K Q 9 8 4
H 2
D A 8 7
C K 7 6 4

S 10 7
H 10 9
D J 9
S A 6
H K Q 5 4
D Q 5 3 2
C A 9 5


490.
S 9
H Q 5 4
D A 8 4 3
C K 10 7 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q 8 5 3
H K J 2
D Q 6 5
C J 3

S 10 9
H 10 8
D J 9
S K J 7 6 4
H A 3
D K 7 2
C A 9 4


494.
S K 9 4
H K J 2
D Q 8 7
C J 9 7 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 8 7 6 5 3
H 5 4
D A K
C 10 6 4

S 10 8
H 10 9
D J 9
S Q J
H A Q 3
D 6 5 4 3 2
C A K 3


495.
S Q 6
H Q 2
D 8 7 4 2
C A J 9 7 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K J 9 7 3
H K 3
D 6 5 3
C 10 3

S 10 7
H 10 11
D J 11
S 8 5 4
H A J 5 4
D A K Q
C K 5 4


497.
S A J 3
H Q 5
D 7 5 4 2
C K 10 9 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K 9 8 4
H J 3 2
D A K 8 6
C 6 3

S 10 9
H 10 9
D J 8
S Q 7 6 5
H A K 4
D Q 3
C A J 7 5


503.
S 9 8 4
H K Q
D 8 4 2
C K J 7 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K 6 3
H 5 3 2
D Q 7 5
C A 10 5

S 10 9
H 10 8
D J 9
S Q J 7 5
H A J 4
D A K 6 3
C 9 6


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529.
S A Q 6
H K 3
D Q 6 3
C J 9 6 5 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K 9 8 3
H A Q 5 2
D 7 5 4
C 10 7

S 10 9
H 10 7
D J 9
S J 7 5 4
H J 4
D A K 8 2
C A K 4


541.
S Q 8
H Q 5 4
D A 3 2
C A J 10 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K J 9 4
H J 3 2
D 7 6 5
C 4 3

S 10 8
H 10 12
D J 12
S 7 6 5 3
H A K
D K Q 8 4
C K 9 7


542.
S 9 6 3
H Q 2
D K 6 4 2
C K J 10 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 8 7 5 4
H A J 5 4
D Q 8 5
C A 9

S 10 10
H 10 8
D J 10
S A K Q J
H K 3
D A 7 3
C 7 6 4 3


555.
S K 7 5
H K 4 2
D K 7 3
C A 7 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q J 9 6 4
H 5
D Q 4 2
C 10 4 3

S 10 7
H 10 10
D J 10
S 8 3
H A Q J 3
D A 8 6 5
C K J 9


557.
S A Q 7
H K
D K Q 8 6 3
C 9 7 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K J 8 5 4 3
H 4 3 2
D A 5
C 10 6

S 10 8
H 10 10
D J 10
S 9 6
H A Q J 5
D 7 4 2
C A K J 5


564.
S Q 8 7
H A Q
D Q 8
C J 10 9 6 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 6 4
H J 5 3 2
D A 5 4 3 2
C 7

S 10 10
H 10 8
D J 9
S K J 9 5 3
H K 4
D K 7 6
C A K 5


575.
S 7 3
H A 4
D Q 6 5 4
C K 10 9 6 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K Q J 9 6 5 4
H Q 5
D 3 2
C A 4

S 10 8
H 10 12
D J 12
S A 8
H K J 3 2
D A K 8 7
C J 7 5


587.
S Q 3
H K 4 2
D K Q 8 3 2
C 9 6 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 8 7 6 5 4
H A
D 7 6 4
C A K J 5

S 10 9
H 10 8
D J 9
S A K J 9
H Q J 5 3
D A 5
C 10 7 3


591.
S J 7 5
H A 4
D 8 5 4 3
C A J 7 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K Q 6 4
H Q J 5 3
D 7 2
C 10 3

S 10 8
H 10 10
D J 10
S 9 8 3
H K 2
D A K Q 6
C K 9 5 4


608.
S J 7 4
H 2
D Q 8 6 5 3
C A K 6 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q 8 5
H A K J 5 4
D 7 4
C 7 5 3

S 10 13
H 10 8
D J 13
S A K 9 6 3
H Q 3
D A K 2
C J 10 9


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622.
S J 8 3
H A 4 2
D A 7 6 3
C 10 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K 7 5
H J 3
D K 8 4
C J 9 6 5

S 10 9
H 10 9
D J 8
S Q 9 6 4
H K Q 5
D Q 5 2
C A K 7


641.
S K 8 4
H K 5 4
D K Q 5 4
C K 9 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q J 6 5 3
H 3 2
D 7 3
C 10 7 4

S 10 7
H 10 11
D J 11
S 9 7
H A Q J
D A 8 6 2
C A J 5 3


648.
S K J 6
H K 4
D K 7 4 3 2
C 9 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 9 8 3
H Q 3
D Q 6 5
C K J 10 6

S 10 9
H 10 9
D J 8
S Q 7 5 4
H A J 5 2
D A 8
C A 7 5


657.
S Q 8 5 3
H Q 4 3
D Q 8 6
C A 9 7
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 9 6 4
H A J 2
D A K 7 2
C 10 6 5

S 10 9
H 10 9
D J 8
S A K J 7
H K 5
D 5 4 3
C K J 4 3


668.
S K 6 5
H Q 2
D Q 6 5 4 2
C A K 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q J 8 7 4
H J 5
D 7 3
C 10 7 5

S 10 7
H 10 11
D J 11
S 9 3
H A K 4 3
D A K 8
C J 9 6 3


675.
S 8 4
H K Q 5
D 8 4 2
C A 10 9 5 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q J 9 6 5 3
H
D A 7 6 5
C J 7

S 10 7
H 10 9
D J 9
S K 7
H A J 4 3 2
D K Q 3
C K 6 4


682.
S K J
H Q 4
D 8 6 5 4 3 2
C K 6 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q 9 8 6 4 3
H K J 5
D
C J 10 5

S 10 6
H 10 9
D J 10
S 7 5
H A 3 2
D A K Q 7
C A 9 7 4


683.
S 9 8 5
H K Q 4
D K 6 4
C J 10 6 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 7 4
H J 3 2
D A Q 7 2
C A 5 4

S 10 9
H 10 9
D J 8
S A K Q 6 3
H A 5
D 8 5 3
C K 9 7


684.
S 7 5
H A K 3
D K Q 8 3
C J 10 9 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A K Q 9 6 4
H 2
D 7 5 4 2
C 6 3

S 10 7
H 10 10
D J 10
S J 8 3
H Q J 5 4
D A 6
C A K 7 4


691.
S K J
H K 4 3
D K Q 8 5
C J 10 5 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q 9 8 7 5 3
H Q 5
D 3 2
C 6 4

S 10 6
H 10 9
D J 9
S 6 4
H A J 2
D A 7 6 4
C A K 9 7


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9991.
S 7 6 3
H K Q 5
D Q 8 4 2
C A K 6
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q 8 4
H J 4 2
D 7 6 3
C 9 7 5

S 10 12
H 10 12
D J 12
S K J 9 5
H A 3
D A K 5
C J 10 4 3


9992.
S A K J 9
H K 4 2
D 7 6 4
C 10 7 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS 8 7 6 5 4
H Q 5
D A Q
C J 9 6 5

S 10 11
H 10 11
D J 11
S Q 3
H A J 3
D K 8 5 3 2
C A K 4


9993.
S 8 7 4
H K J 3
D A 7 6 3
C A 5 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 9 6 3
H 4
D 8 5 2
C K J 10 7 6

S 10 12
H 10 12
D J 12
S K Q J 5
H A Q 5 2
D K Q 4
C 9 3


9994.
S 4 3
H A 5 4
D A 8 5 2
C A 7 5 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q J 9 8 5
H Q 2
D Q 6
C K 10 9 4

S 10 9
H 10 9
D J 9
S A K 7 6
H K J 3
D K 7 4 3
C J 6


9995.
S Q 6 5
H J 3
D A 4 2
C A 6 5 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A 9 8 4
H A 5
D 8 7 6 3
C K 9 7

S 10 9
H 10 9
D J 8
S K J 7 3
H K Q 4 2
D K Q 5
C J 10


9996.
S 3
H K Q J
D A 8 7 4 3
C 10 9 6 5
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS Q J 9 8 6
H 4 3 2
D 5 2
C A K 4

S 10 10
H 10 10
D J 10
S A K 7 5 4
H A 5
D K Q 6
C J 7 3


9997.
S Q 6 3
H A J
D A Q 7 6 3
C 9 7 4
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS J 9 8
H K 4 2
D 8 4 2
C K J 6 5

S 10 12
H 10 12
D J 12
S A K 7 5 4
H Q 5 3
D K 5
C A 10 3


9998.
S J 7 3
H A 4
D Q 8
C K 10 6 5 4 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K 8 6 5 4
H 3
D A K 7 5 4
C J 9

S 10 9
H 10 9
D J 8
S A Q 9
H K Q J 5 2
D 6 3 2
C A 7


9999.
S J 9 7
H Q J
D A Q 8 6
C J 10 7 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS K 8 6 4
H K 4 3
D 5 4 3 2
C K 9

S 10 12
H 10 12
D J 12
S A Q 5 3
H A 5 2
D K 7
C A 6 5 4


10000.
S 8
H J 5 3
D K 6 5 4 3
C A K 9 3
S 10 2
H 10 9 8 7 6
D J 10 9
C Q 8 2
TableS A Q J 9 7 3
H K 2
D 7 2
C 10 6 4

S 10 11
H 10 12
D J 12
S K 6 5 4
H A Q 4
D A Q 8
C J 7 5

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© 2017 Richard Pavlicek