Main   Simulation 8Z03 by Richard Pavlicek  

Diamonds or Notrump?

After partner opens 2 NT, it is routine via Stayman to seek a 4-4 major fit, which usually provides a superior game or slam than notrump. Suppose you discover that no 4-4 major fit exists. Is it beneficial (presuming IMP scoring) to investigate a 4-4 minor fit when you have the high cards to bid 6 NT? Recently a friend asked about the following North hand:

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

West

Pass
Pass
North

3 C
?
East

Pass
South
2 NT1
3 D
1. 20-21

Should North seek a 4-4 diamond fit or just bid 6 NT?

A difficult question. While 6 D in a 4-4 fit will usually produce a better slam, in the majority of cases it just loses 2 IMPs; plus there are some cases where only 6 NT makes, e.g., with a spade ruff looming. Only a simulation might provide a solution.

To determine the answer I created 10,000 random deals with the North hand fixed, and the others constrained to match the auction, plus South having a diamond fit: South HCP 20-21; freakness less than 3 (balanced); no 4-card major; 4 or 5 diamonds. Further, to eliminate deals where an opponent might have bid: East freakness less than 9; West freakness less than 9.

As the table confirms, there is no question that 6 D makes more often, and at total points it reaps a hefty profit: over 57 percent nonvul and almost 64 percent vul. But look at the IMP totals! A complete turnaround, as bidding 6 NT every time is the clear winner. At matchpoints (or board-a-match) the gain for 6 NT is expectedly huge, scoring over 86 percent.

Sadly, this brings out a serious defect in IMP scoring. Instead of rewarding the best contract, it rewards the higher scoring strain, which sabotages the main purpose of bidding. Accurate bidding to a superior minor slam makes you a loser in the long run. Some years ago I proposed a solution to fix this, but the governing bodies are like ostriches with their heads in the sand. See Broken Scoring Fix.

Results for 10,000 Deals
ContractTrick AvgMake PctMatchpointsNonvul TPsNonvul IMPsVul TPsVul IMPs
6 D12.23292.262796 13.981077900 57.1515637 44.451635900 63.8917949 46.98
6 NT12.03383.4917204 86.02808340 42.8519544 55.55924640 36.1120254 53.02

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.)

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


Seed 6B2C0F4A 10000

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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


TopMain


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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


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9991.S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 8 7
H 8 7 6 5
D 9 5 4 2
C 8 3
TableS K J 6
H J 10 9 4
D 3
C Q 10 9 5 4
6 D 11
6 NT 11
S A 9 5
H A K Q
D K 8 7 6
C A 7 6


9992.S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 9 7
H K 7 6
D 5 4 2
C Q 10 9 8 5
TableS J 10 6 5
H J 10 9 8 5
D 6
C 7 4 3
6 D 12
6 NT 12
S A K 8
H A Q 4
D K 9 8 7 3
C A 6


9993.S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 8
H 10 9 6
D 9 5 4
C Q 10 9 7 6 3
TableS J 9 7 6 5
H K J 7 5 4
D 8 2
C 4
6 D 13
6 NT 13
S A K 10
H A Q 8
D K 7 6 3
C A 8 5


9994.S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 9 8 7 5
H Q 9 7
D 9 4 3 2
C 5
TableS 10 6
H J 10 6 5 4
D 7
C Q 9 8 4 3
6 D 13
6 NT 13
S A K
H A K 8
D K 8 6 5
C A 10 7 6


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


9996.S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S 10 8 6 5
H K J 10 9 5
D 4 3
C 9 3
TableS J 9
H 8 6 4
D 9 6 2
C Q 8 7 6 4
6 D 12
6 NT 12
S A K 7
H A Q 7
D K 8 7 5
C A 10 5


9997.S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K J 8
H J 10 7 6 5
D 9 4 2
C 9 8
TableS 10 9 6
H 9 8 4
D 8 5
C Q 7 6 4 3
6 D 12
6 NT 12
S A 7 5
H A K Q
D K 7 6 3
C A 10 5


9998.S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S J 7 5
H Q J 10 9 4
D 4
C 9 8 5 3
TableS K 9 8 6
H 8 6 5
D 7 6 3 2
C 6 4
6 D 12
6 NT 12
S A 10
H A K 7
D K 9 8 5
C A Q 10 7


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


10000.S Q 4 3 2
H 3 2
D A Q J 10
C K J 2
S K 8 6
H J 8 6
D 9 8 6
C 10 9 6 3
TableS J 7 5
H Q 10 9 7 4
D 4 2
C 8 7 4
6 D 12
6 NT 12
S A 10 9
H A K 5
D K 7 5 3
C A Q 5


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© 2013 Richard Pavlicek