Main   Simulation 8Z24 by Richard Pavlicek  

Four or Five-Card Major?

As West, you are on lead against 3 NT after this auction:

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

West

Pass
North
1 D
Pass
East
Pass
Pass
South
3 NT1
1. 12-14 balanced, no 4+ major

Would you lead the S 5 or the H 6?

A heart seems the obvious choice having greater length, but another consideration is that the S Q would then have little or no significance toward a successful defense. In contrast, a spade lead will bring both of your assets (S Q and H A) into play. I doubt this could overcome the edge of a longer suit but thought a simulation would be interesting. How close is it?

To prepare the simulation I created 10,000 random deals with the West hand fixed, and the other hands constrained to fit the bidding. North: 1 D opening (better minor philosophy) but less than 19 total points. South: 12-14 HCP, balanced, no 4+ major. East: no 5+ major or less than 4.5 playing tricks; no 6+ clubs or less than 5.5 playing tricks; no 4-4 majors or less than 13 total points.

No surprises. The heart lead is superior at any form of scoring and vulnerability — narrowly at matchpoints, and vastly at total points or IMPs.

Results for 10,000 Deals
LeadTrick AvgMake PctMatchpointsNonvul TPsNonvul IMPsVul TPsVul IMPs
S 59.78082.5010161 50.81759070 63.0616793 61.731133970 63.5119847 62.13
H 69.67675.759839 49.20444640 36.9410409 38.27651390 36.4912097 37.87

Trick Avg shows the average number of tricks won by declarer. Make Pct shows the percent of time the contract is made. Matchpoints shows the raw total (European style: 2 for a win, 1 for a tie) and effective scoring percent. Total Points and IMPs are shown similarly as raw totals and percents, with separate accountings for N-S nonvulnerable and N-S vulnerable. (Vulnerability does not affect matchpoints.) All numbers are relative to declarer, so lower values are better for the defense.

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 C7ABD273 10000

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


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


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


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


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


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


7.S K 10 3
H K 5 4 3
D K Q 2
C K 10 4
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 8 7 2
H J 9
D A 9 6 5
C Q 9 7 3
S 5 11
H 6 11
S A J 4
H Q 10
D J 8 7 3
C A J 8 5


8.S K J 7 2
H 10 9 5
D Q 8 7 6
C A K
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 10 4 3
H Q J
D A 3 2
C 10 9 7 4 3
S 5 10
H 6 11
S A 8
H K 4 3
D K J 9 5
C Q J 8 5


9.S A 10 8 4
H K Q J 9
D J 9 5
C Q 5
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 7 2
H 3
D K Q 8 3 2
C J 9 7 3
S 5 12
H 6 11
S K 3
H 10 5 4
D A 7 6
C A K 10 8 4


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


TopMain


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


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


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


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


30.S 7 4
H K 10
D A J 8 7 2
C K J 9 3
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS A K 10 2
H Q 9 4 3
D 9 5 3
C 10 7
S 5 8
H 6 11
S J 8 3
H J 5
D K Q 6
C A Q 8 5 4


31.S K 2
H Q
D A K J 9 7 5 3
C A 5 4
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 10 8 7 4
H K J 5 4
D 8 2
C 10 8 7
S 5 13
H 6 8
S A J 3
H 10 9 3
D Q 6
C K Q J 9 3


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


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


42.S J 7 3
H 4 3
D A Q J 6 3
C K Q 9
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS A 10 4
H Q J 10 9
D 9 7 2
C J 10 8
S 5 8
H 6 11
S K 8 2
H K 5
D K 8 5
C A 7 5 4 3


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


TopMain


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


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


58.S A 4
H Q
D K Q J 8 3
C K 10 9 5 4
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS K 10 8 2
H 9 5 4 3
D A 6 5 2
C 7
S 5 8
H 6 11
S J 7 3
H K J 10
D 9 7
C A Q J 8 3


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


79.S A 10 7 4
H J
D K J 8 7 6
C K J 3
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 2
H Q 9 4 3
D A 5 2
C 10 8 5 4
S 5 11
H 6 8
S K 8 3
H K 10 5
D Q 9 3
C A Q 9 7


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


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


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


134.S A 4 2
H 5 4
D A Q J 5
C Q J 9 8
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 7 3
H K Q 9
D 9 7
C 10 7 5 4 3
S 5 11
H 6 8
S K 10 8
H J 10 3
D K 8 6 3 2
C A K


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


TopMain


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


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


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


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


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


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


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


179.S A 4
H 5
D A Q J 9 6 3 2
C K J 3
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 10 7 3
H K Q J 4
D 8
C 9 8 7 4
S 5 13
H 6 8
S K 8 2
H 10 9 3
D K 7 5
C A Q 10 5


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


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


TopMain


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


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


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


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


204.S K 3
H Q J
D A K 9 8 7 6
C J 10 5
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS A J 7 4
H 10 4 3
D J 3 2
C Q 8 7
S 5 8
H 6 12
S 10 8 2
H K 9 5
D Q 5
C A K 9 4 3


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


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


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


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


222.S K 8 7 2
H J
D A K 9 5 3
C Q 9 5
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 10 4
H K Q 5 3
D 6 2
C K 7 4 3
S 5 11
H 6 8
S A 3
H 10 9 4
D Q J 8 7
C A J 10 8


TopMain


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


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


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


237.S A 8 3
H 9
D K Q 8 7 6 5 2
C K Q
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 10 7 4 2
H K Q 5 4
D J
C J 8 4 3
S 5 13
H 6 8
S K J
H J 10 3
D A 9 3
C A 10 9 7 5


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


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


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


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


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


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


TopMain


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


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


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


266.S A 8 7 3
H K 5
D K J 9 7
C J 10 3
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 10 4
H Q 9 4 3
D Q 8 6
C A 9 7 4
S 5 11
H 6 8
S K J 2
H J 10
D A 5 3 2
C K Q 8 5


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


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


275.S K 10 8 7
H J 5
D A Q 8 2
C A 10 4
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 4 2
H K Q 3
D 9 7 6 3
C Q 7 5
S 5 12
H 6 8
S A 3
H 10 9 4
D K J 5
C K J 9 8 3


284.S K 8 4
H K Q 9
D Q 9 5 3 2
C K 7
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS A J 3 2
H 10 3
D K 7 6
C 10 9 8 4
S 5 8
H 6 11
S 10 7
H J 5 4
D A J 8
C A Q J 5 3


295.S A K J 7
H 10
D K 9 8 5 2
C Q 8 5
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 10 8 2
H K J 9 3
D Q 3
C K 9 7 3
S 5 12
H 6 8
S 4 3
H Q 5 4
D A J 7 6
C A J 10 4


302.S 10 8 7
H 5 4
D A K J 9 6 3 2
C A
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 3 2
H K Q 10
D Q 5
C J 9 7 5 3
S 5 12
H 6 8
S A K 4
H J 9 3
D 8 7
C K Q 10 8 4


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


308.S A K 7 2
H 3
D K 8 7 6 5 3
C K 10
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 4 3
H K Q 10 5
D Q J 2
C 9 8 7 5
S 5 11
H 6 8
S J 10 8
H J 9 4
D A 9
C A Q J 4 3


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


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


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


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


346.S K
H Q 9
D A 7 6 3 2
C A Q J 10 5
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS A J 8 4 2
H J 10 4
D 9 8 5
C 9 4
S 5 7
H 6 11
S 10 7 3
H K 5 3
D K Q J
C K 8 7 3


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


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


359.S K 7
H K 5
D A K J 9 6 5 3
C 10 4
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS A J 8 3
H J 9 4 3
D 7
C Q 9 7 5
S 5 8
H 6 13
S 10 4 2
H Q 10
D Q 8 2
C A K J 8 3


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360.S J
H J 4
D A K 8 7 3
C A K J 9 5
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS K 10 8 4 2
H 10 5 3
D Q 9 2
C 7 4
S 5 8
H 6 11
S A 7 3
H K Q 9
D J 6 5
C Q 10 8 3


362.S A J 10 8
H 5 3
D A K 8 7 6
C 10 9
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 4 2
H K Q J 4
D J 5 2
C K 8 7 3
S 5 12
H 6 8
S K 7 3
H 10 9
D Q 9 3
C A Q J 5 4


368.S A 10 8 3
H K Q
D Q J 9 7 3
C 5 3
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 7
H 10 5 4 3
D A 6 2
C K 10 9 7
S 5 11
H 6 8
S K 4 2
H J 9
D K 8 5
C A Q J 8 4


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


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


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


395.S A K 7
H Q
D Q 8 6 5 2
C A 10 5 3
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 10 8 4 2
H J 10 9 4
D A 7 3
C 8 4
S 5 11
H 6 8
S J 3
H K 5 3
D K J 9
C K Q J 9 7


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


409.S A 8
H 5
D A K Q 8 7 6
C 9 8 5 3
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 10 7 2
H K Q 4 3
D J 9 2
C J 10
S 5 13
H 6 8
S K 4 3
H J 10 9
D 5 3
C A K Q 7 4


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


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


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


9993.S A K J 10
H K 10 5 4
D J 7 6
C J 8
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 8 3
H Q 9
D K 8 5
C Q 10 9 7 5 3
S 5 12
H 6 12
S 7 4 2
H J 3
D A Q 9 3 2
C A K 4


9994.S A K 8 2
H 9 3
D 9 6 5 2
C A K 7
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS 4 3
H K J 5 4
D Q J
C J 9 8 4 3
S 5 12
H 6 8
S J 10 7
H Q 10
D A K 8 7 3
C Q 10 5


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


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


9997.S 8 2
H K 5 4
D A J 9 8 5
C K Q 7
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS A J 4 3
H J 3
D Q 6 3 2
C 9 5 3
S 5 9
H 6 11
S K 10 7
H Q 10 9
D K 7
C A J 10 8 4


9998.S 7 2
H K J 4
D A K J 7 3 2
C A 10
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS J 10 4 3
H 10 5 3
D 9 5
C K J 8 3
S 5 11
H 6 11
S A K 8
H Q 9
D Q 8 6
C Q 9 7 5 4


9999.S J 10 7 2
H K J
D A K Q 9 6 2
C 5
S Q 9 6 5
H A 8 7 6 2
D 10 4
C 6 2
TableS K 3
H 10 9 4
D 7 5 3
C K J 10 9 7
S 5 11
H 6 11
S A 8 4
H Q 5 3
D J 8
C A Q 8 4 3


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


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