Main   Simulation 8Z22 by Richard Pavlicek  

Spades or Longer Fit?

Herbert Wilton of Fredericksburg, Texas, asked about the black two-suiter shown below — or more specifically, what would be the best bidding strategy after a 1 H opening on your right.

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

West
1 H
North
?
East
South

What should North bid?

For me there are two reasonable options: (A) Jump directly to 4 S; or (B) show both suits, expecting to play in 4 S or 5 C according to partner’s better fit (or 4 S with equal length or 3+ spades).

Option A has a number of pros: simplicity, preemption, one less trick for game, higher scoring strain, and a good-textured suit that might survive without a fit. In the last case, however, it has one glaring con: Enemy taps could force you out of trump control, inflicting a severe set when clubs would fare much better.

So which strategy is better? Stay tuned to find out.

In order to level the playing field regarding preemption, for Option B let’s assume one of my pet conventions: super Michaels, where a jump to 4 H (over 1 H) shows a pronounced two-suiter with spades and a minor. Partner will bid 4 S with 3+ spades, or with an equal number of spades as his shorter minor. For example, with S x-x H K-x-x-x-x D Q-x-x-x C J-x, partner would bid 4 S because your minor is probably clubs; though with S x-x H K-x-x-x D Q-x-x-x C J-x-x, he would bid 5 C (pass or correct) because a better fit is assured.

The only practical way to obtain an answer is with a simulation, so let’s begin.

To compare options I created 10,000 random deals with the North hand fixed. West 13-23 revalued points; 5+ hearts; unqualified to open 1 NT (15-17 HCP) or 2 NT (20-22 HCP) which requires 5-3-3-2 shape and doubleton to be J-x or better. Further, to eliminate most deals with high-level competition: West hearts less than 7 or playing tricks less than 9; diamonds less than 5 or playing tricks less than 9. East hearts less than 5 or revalued points less than 10; hearts less than 4 or revalued points less than 13; diamonds less than 7 or playing tricks less than 8.

Results clearly show that offering both suits is the winner. The advantage is huge at total points or IMPs (more so when vulnerable) but only slight at matchpoints. In practice the edge at total points and IMPs would be even greater, because the simulation was scored with all contracts undoubled. Often you’ll be doubled, so imagine the debacle of playing 4 S opposite a singleton or void and being tapped out for a huge number.

Results for 10,000 Deals
OptionTrick AvgMake PctMatchpointsNonvul TPsNonvul IMPsVul TPsVul IMPs
A9.27151.099610 48.05189530 32.444781 34.05279830 29.655639 31.37
B9.85053.9610390 51.95394690 67.569260 65.95663890 70.3512339 68.63

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.)

Another issue was brought out by:

Jim Munday: A few practical matters favor Option A: (1) No information leak as to North’s shape, which might aid North in the play of 4 S, or not aid East-West should they end up declaring. (2) Prevents East from making a 4 S cue-bid (as he could over 4 H) or a non-committal double.

Certainly valid points. While impossible to quantify, it would narrow the gap, and might shift the matchpoint edge to Option A. Of course, this only brings to mind the classic conundrum: Is matchpoints bridge?

In rebuttal, Option B is more likely to have partner do the right thing after further competition, or to reach a successful slam, which widens the gap. Who knows which factors are more dominant, but having valid arguments for both camps suggests any impact would be small.

Below are 100 of the 10,000 deals, including the first 10 and last 10, and selected deals in-between where the option chosen made a significant difference. The number of tricks won by declarer is shown for each contract, assuming double-dummy play by both sides. Note that North declares the first contract (4 S) and South the second (4 S or 5 C).


Seed 3C7A9D2B 10000

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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


9993.S Q J 10 8 7 5
H
D 2
C K Q 6 4 3 2
S 4
H K Q J 7 6 5 2
D J 6 3
C A 7
TableS K 6 3 2
H 10 9 4
D A 9 7 5
C 9 8
4 S 10
5 C 11
S A 9
H A 8 3
D K Q 10 8 4
C J 10 5


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


9995.S Q J 10 8 7 5
H
D 2
C K Q 6 4 3 2
S K 3
H A J 8 6 5 4 3
D Q J
C 10 5
TableS A 2
H K Q 10 2
D 10 9 7 4 3
C J 7
4 S 11
4 S 11
S 9 6 4
H 9 7
D A K 8 6 5
C A 9 8


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


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


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


9999.S Q J 10 8 7 5
H
D 2
C K Q 6 4 3 2
S K 6 4 2
H A K Q J 9
D K 7 5
C 8
TableS 3
H 10 8 6 4 3
D Q J 10 3
C J 10 7
4 S 12
5 C 12
S A 9
H 7 5 2
D A 9 8 6 4
C A 9 5


10000.S Q J 10 8 7 5
H
D 2
C K Q 6 4 3 2
S 9 3 2
H A 10 9 8 3
D K Q 5
C A 8
TableS A K 4
H 7 5 4 2
D J 10 9 4
C J 5
4 S 10
5 C 11
S 6
H K Q J 6
D A 8 7 6 3
C 10 9 7


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