Main     Simulation 8Z08 by Richard Pavlicek    

Four Hearts Lead II

[First read Four Hearts Lead I]. Next I ran the same simulation with West's spades slightly stronger: A-J-9-2 instead of A-J-3-2. Would this change the outcome?

E-W Vul
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
Table


West

Pass
Pass

North

1 NT1
4 H

East

Pass
All Pass

South
1 S
2 H
1. forcing

4 H South

Should West lead the H 2, D 2 or C 2?

To determine the best lead I created 10,000 random layouts with the West hand fixed, and the North-South hands constrained to fit the bidding: South points 13-16, spades 5+, hearts 4+, spades longer or equal to hearts; North points 11-13, hearts 4-5, not 4+ spades. Further, to exclude deals where East would bid or double: East longest suit less than 7, longest suit less than 6 or playing half-tricks less than 12, longest suit less than 5 or playing half-tricks less than 14, longest suit less than 5 or half-tricks in that suit less than 8, points less than 13 or hearts less than 3 or spades 3+.

The following table summarizes the results. Numbers are relative to declarer, so lower values are better for the defense.

Results for 10,000 Deals
LeadTrick AvgMake PctTPs WonMPs WonIMPs Won
H 210.11274.86306100186626945
C 210.16677.575086402027011520
D 210.19678.155578002106812701

A complete turnaround. Adding the nine-spot in spades makes a trump lead best at any form of scoring. Leading from the longer jack now gets second place. Intermediate cards in declarer's first suit are clearly a key factor. For another followup see Four Hearts Lead III.

Below are 100 of the 10,000 deals, including the first 10 and last 10, and in-between only deals where the lead made a big difference. Analysis is based on double-dummy play. Running totals are shown after each deal.

Seed 99D488B3 10000 8
W:AJ92.32.J32.J432
#SR13-16s5h4s)hNR11-13s[4h4-5El[7l[6~Y[12l[5~Y[14l[5~ly[8R[13~h[3~s3
Leads H2 D2 C2 -- Result Avg Mk% TPs MPs IMPs

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

H2 = C 12.000 100 30 3 1
D2 = C 12.000 100 30 3 1
C2 = B 11.000 100 0 0 0


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

H2 = A 11.000 100 30 5 1
D2 = A 11.000 100 30 5 1
C2 = A 10.500 100 0 2 0


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

H2 = A 10.667 100 30 5 1
D2 = B 11.000 100 60 8 2
C2 = B 10.667 100 30 5 1


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

H2 = 9 10.250 75.00 30 7 1
D2 = 9 10.500 75.00 60 10 2
C2 = 9 10.250 75.00 30 7 1


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

H2 = 8 9.800 60.00 30 7 1
D2 = 9 10.200 60.00 110 13 4
C2 = 9 10.000 60.00 80 10 3


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

H2 = A 9.833 66.67 30 7 1
D2 = B 10.333 66.67 140 16 5
C2 = B 10.167 66.67 110 13 4


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

H2 = B 10.000 71.43 30 9 1
D2 = B 10.429 71.43 140 18 5
C2 = B 10.286 71.43 110 15 4


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

H2 = A 10.000 75.00 30 11 1
D2 = A 10.375 75.00 140 20 5
C2 = A 10.250 75.00 110 17 4


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

H2 = 9 9.889 66.67 30 12 1
D2 = 9 10.222 66.67 140 21 5
C2 = A 10.222 77.78 1050 21 24


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

H2 = A 9.900 70.00 30 14 1
D2 = A 10.200 70.00 140 23 5
C2 = A 10.200 80.00 1050 23 24


TopMain

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

H2 = A 10.000 73.68 530 33 12
D2 = 9 10.158 68.42 230 42 8
C2 = A 10.105 78.95 1520 39 34


21.
S K 8
H J 8 6 4
D Q 10 8 5
C K Q 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 5 4
H A Q 7
D 9 7 4
C A 9 8 6 5
S Q 10 7 6 3
H K 10 9 5
D A K 6
C 10

H2 = A 10.095 76.19 1000 38 22
D2 = A 10.238 71.43 700 47 18
C2 = 9 10.143 76.19 1520 41 34


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

H2 = 9 10.045 72.73 1000 39 22
D2 = A 10.227 72.73 1640 51 38
C2 = 9 10.091 72.73 1520 42 34


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

H2 = 9 10.000 69.57 1000 40 22
D2 = A 10.217 73.91 2580 55 58
C2 = 9 10.043 69.57 1520 43 34


36.
S K
H Q 10 8 5
D K Q 7 6 5
C K 7 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 7 6
H A 7 4
D A 10 9 4
C 10 9 6
S Q 8 5 4 3
H K J 9 6
D 8
C A Q 8

H2 = 9 9.917 63.89 1030 62 23
D2 = A 10.139 69.44 3270 86 76
C2 = A 9.972 66.67 2020 68 45


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

H2 = 9 9.854 60.98 1030 71 23
D2 = 9 10.049 65.85 3270 95 76
C2 = A 9.927 65.85 2960 80 65


55.
S Q 5
H K J 9 5
D 8 4
C A Q 8 7 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 7
H Q 10 6
D K Q 10 9
C K 10 9 6
S K 8 6 4 3
H A 8 7 4
D A 7 6 5
C

H2 = 9 9.945 69.09 1060 98 24
D2 = A 10.109 74.55 3770 125 87
C2 = A 10.000 74.55 3430 107 75


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

H2 = 9 9.954 70.77 1060 114 24
D2 = A 10.138 76.92 4400 150 103
C2 = A 10.015 76.92 3900 126 85


68.
S 5
H A J 10 4
D 8 6
C K 10 8 7 6 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 7 3
H Q 9 8
D K Q 9 7 5
C A 9
S K Q 10 6 4
H K 7 6 5
D A 10 4
C Q

H2 = A 9.956 70.59 1530 119 34
D2 = 9 10.132 75.00 4430 155 104
C2 = A 10.029 76.47 4400 134 96


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

H2 = 9 9.974 71.43 1530 134 34
D2 = A 10.143 76.62 4900 173 114
C2 = A 10.065 77.92 4930 155 108


TopMain

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

H2 = A 10.000 72.15 2500 141 55
D2 = 9 10.139 75.95 4900 174 114
C2 = 9 10.076 77.22 4960 159 109


84.
S Q
H K Q 7 6 5
D Q 5 4
C K 9 7 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 7 5 4
H 9 4
D A K 10 7
C Q 10 8 5
S K 10 8 6 3
H A J 10 8
D 9 8 6
C A

H2 = A 9.976 71.43 2970 150 65
D2 = 9 10.107 73.81 4930 183 115
C2 = A 10.060 76.19 5460 171 120


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

H2 = B 9.989 71.26 3470 157 76
D2 = B 10.115 73.56 5430 190 126
C2 = 9 10.046 74.71 5460 175 120


96.
S 10 7
H K 10 6 5
D A 10 8 7
C A 10 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 4
H Q J 7
D K 9 6 5 4
C 9 6 5
S Q 8 6 5 3
H A 9 8 4
D Q
C K Q 8

H2 = 9 9.979 69.79 3470 171 76
D2 = A 10.125 72.92 6020 213 140
C2 = A 10.042 73.96 5930 192 130


103.
S 6
H K 10 7 4
D A 8 7 6 4
C Q 10 8
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 10 5
H 9 6 5
D Q 10 9
C A K 9 6
S Q 8 7 4 3
H A Q J 8
D K 5
C 7 5

H2 = 9 9.932 67.96 3470 179 76
D2 = A 10.097 71.84 6640 230 156
C2 = A 10.019 72.82 6550 209 146


105.
S 10 5
H A J 7 5
D K Q 8 6 5
C Q 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 7 3
H Q 9 6
D A 10 9 7 4
C K 10 5
S K Q 8 6 4
H K 10 8 4
D
C A 9 8 6

H2 = A 9.914 67.62 3940 182 86
D2 = A 10.086 71.43 7160 236 168
C2 = 9 10.000 71.43 6600 212 148


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

H2 = A 9.915 67.92 4410 185 96
D2 = A 10.085 71.70 7630 239 178
C2 = 9 9.991 70.75 6600 212 148


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

H2 = 9 9.957 69.78 4580 249 102
D2 = A 10.101 73.38 8810 309 206
C2 = 9 10.014 71.94 6770 276 154


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

H2 = A 9.966 70.07 5110 268 114
D2 = A 10.102 73.47 9340 328 218
C2 = 9 10.000 71.43 6770 286 154


150.
S 10
H A Q J 10 4
D K 10 6 5
C 8 7 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 6 5
H K 7
D 9 8 7 4
C A K 10 9
S K Q 7 4 3
H 9 8 6 5
D A Q
C Q 5

H2 = 9 9.953 69.33 5110 273 114
D2 = A 10.093 73.33 10280 336 238
C2 = 9 9.987 70.67 6770 291 154


TopMain

159.
S 7
H Q 10 6 4
D K 8 6
C A 10 8 7 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 10 6
H 9 8 5
D A 9 7 5
C K 9 5
S K 8 5 4 3
H A K J 7
D Q 10 4
C Q

H2 = 9 9.956 69.18 5160 288 116
D2 = A 10.094 73.58 10810 354 250
C2 = A 10.000 71.07 7350 312 168


177.
S 10
H Q 8 6 4
D Q
C A Q 10 9 7 6 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 8 7
H 10 9 7
D A 10 9 8 4
C K 8
S Q 6 5 4 3
H A K J 5
D K 7 6 5
C

H2 = 9 9.972 70.62 5220 322 118
D2 = 9 10.096 74.58 10870 388 252
C2 = A 10.023 72.88 8410 352 192


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

H2 = 9 9.974 70.37 5250 345 119
D2 = 9 10.090 74.07 10930 411 254
C2 = A 10.026 73.02 9380 378 213


194.
S 5
H Q J 5 4
D K 10 8 5
C A 10 8 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 7 3
H A 10 7
D 7 4
C K Q 9 6 5
S Q 10 8 6 4
H K 9 8 6
D A Q 9 6
C

H2 = 9 9.969 70.10 5280 353 120
D2 = A 10.093 74.23 11490 425 267
C2 = A 10.021 73.20 9850 386 223


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

H2 = 9 10.010 70.94 5370 372 123
D2 = B 10.133 75.37 12550 444 291
C2 = 9 10.049 73.89 9880 402 224


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

H2 = 9 9.964 68.44 5450 411 126
D2 = A 10.089 72.89 13210 491 308
C2 = A 10.009 71.56 10560 448 242


228.
S 8
H A Q 8 5
D 8 6 4
C K Q 10 8 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 4 3
H 9 7 6
D A Q 9 7
C A 9 6
S K Q 7 6 5
H K J 10 4
D K 10 5
C 5

H2 = A 9.969 68.86 5950 419 137
D2 = 9 10.088 72.81 13240 496 309
C2 = A 10.009 71.93 11030 453 252


234.
S 6 4
H Q 10 6 4
D K Q 10 7 6
C A 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 8
H K 9 8
D A 8 5
C Q 10 9 8 5
S K 10 7 5 3
H A J 7 5
D 9 4
C K 7

H2 = A 9.970 69.23 6420 430 147
D2 = 9 10.085 72.65 13270 507 310
C2 = A 10.013 72.22 11530 467 263


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

H2 = 9 9.966 69.07 6420 431 147
D2 = A 10.089 72.88 13800 514 322
C2 = A 10.013 72.46 12000 471 273


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

H2 = 9 9.971 69.04 6420 436 147
D2 = A 10.096 73.22 14740 522 342
C2 = 9 10.017 72.38 12000 476 273


TopMain

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

H2 = A 9.964 68.67 6890 455 157
D2 = A 10.088 72.69 15240 544 353
C2 = 9 10.008 71.49 12030 495 274


259.
S 4
H Q 8 6 5
D Q 10 8 6
C K Q 6 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 7 5
H J 10 7
D A 7
C A 10 9 8 7
S Q 10 8 6 3
H A K 9 4
D K 9 5 4
C

H2 = A 9.992 69.88 7360 476 167
D2 = 9 10.108 73.36 15240 562 353
C2 = A 10.035 72.59 12500 516 284


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

H2 = 9 10.000 70.04 7390 491 168
D2 = A 10.112 73.78 15710 577 363
C2 = A 10.045 73.03 13000 534 295


289.
S 8 7
H K Q J 5
D 10 9 7
C A 10 6 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 5
H 10 8 7
D A Q 8 4
C K Q 8 7
S K Q 6 4 3
H A 9 6 4
D K 6 5
C 9

H2 = 9 10.000 70.24 7440 527 170
D2 = A 10.121 74.05 16400 628 381
C2 = A 10.052 73.36 13580 579 309


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

H2 = A 10.000 70.65 8380 535 190
D2 = 9 10.119 74.06 16430 636 382
C2 = 9 10.051 73.38 13610 587 310


297.
S 10 4
H J 10 5 4
D A Q 9 5
C A 9 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8
H A 7 6
D 10 8 7 6 4
C K Q 10 6
S K Q 7 6 5 3
H K Q 9 8
D K
C 8 7

H2 = 9 10.000 70.37 8440 543 192
D2 = A 10.121 74.07 17430 647 404
C2 = 9 10.044 73.06 13610 592 310


317.
S Q
H Q J 5 4
D K 10 9 8 7 4
C A 9
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 8 5
H A 10 7
D A Q 6
C 8 7 6 5
S K 7 6 4 3
H K 9 8 6
D 5
C K Q 10

H2 = 9 10.028 70.66 8560 579 196
D2 = A 10.142 74.45 18050 686 419
C2 = A 10.079 73.50 14290 637 327


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

H2 = A 10.031 71.12 9030 588 206
D2 = A 10.146 74.84 18550 698 430
C2 = 9 10.081 73.60 14320 646 328


327.
S 10
H Q J 9 7
D Q 6 5 4
C A Q 10 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 7 5
H 10 6 5
D A K 8 7
C 9 8 6
S K 8 6 4 3
H A K 8 4
D 10 9
C K 7

H2 = 9 10.031 70.95 9060 595 207
D2 = A 10.147 74.92 19080 708 442
C2 = A 10.086 73.70 14880 659 341


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

H2 = 9 10.033 70.87 9060 606 207
D2 = A 10.150 75.08 20020 722 462
C2 = 9 10.087 73.57 14880 670 341


TopMain

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

H2 = 9 10.027 70.62 9060 612 207
D2 = A 10.145 75.07 20490 731 472
C2 = A 10.083 73.59 15350 679 351


338.
S K 7
H A 8 7 5
D Q 10 8 5
C Q 9 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 3
H K 10 4
D K 9 7 6 4
C K 7 5
S Q 8 6 5 4
H Q J 9 6
D A
C A 10 8

H2 = 9 10.024 70.41 9060 613 207
D2 = 9 10.142 74.85 20490 732 472
C2 = A 10.083 73.67 16290 683 371


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

H2 = 9 10.020 70.47 9060 616 207
D2 = 9 10.143 74.85 20550 741 474
C2 = A 10.088 73.98 17290 695 393


349.
S 3
H Q 10 9 8
D A 10 7 6
C K 10 8 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 5 4
H K J 5
D Q 9 8 4
C A 9 5
S K Q 10 7 6
H A 7 6 4
D K 5
C Q 6

H2 = 9 10.014 70.49 9060 627 207
D2 = A 10.140 75.07 21080 758 486
C2 = A 10.083 74.21 17760 709 403


351.
S
H Q 8 6 4
D K 7 6 5
C K Q 9 7 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 7 6 5
H 9 5
D A Q 10 4
C A 10 8
S K 10 8 4 3
H A K J 10 7
D 9 8
C 5

H2 = 9 10.014 70.37 9060 630 207
D2 = 9 10.140 74.93 21080 761 486
C2 = A 10.085 74.36 18700 715 423


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

H2 = 9 10.014 70.25 9060 632 207
D2 = A 10.142 75.07 21550 766 496
C2 = A 10.088 74.50 19170 720 433


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

H2 = 9 10.014 70.22 9060 636 207
D2 = A 10.143 75.28 22020 773 506
C2 = A 10.090 74.72 19640 727 443


366.
S 4 3
H A J 7 6 5
D K 7 4
C Q 10 9
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 7
H K 4
D A Q 9 8 5
C 8 7 6 5
S K Q 8 6 5
H Q 10 9 8
D 10 6
C A K

H2 = 9 10.022 70.22 9090 655 208
D2 = 9 10.148 75.14 22080 792 508
C2 = A 10.098 74.86 20610 749 464


369.
S 10 8
H A Q 10 9
D A 10 9 7 4
C 10 8
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 6
H J 7 5
D K Q 6 5
C Q 7 6 5
S Q 7 5 4 3
H K 8 6 4
D 8
C A K 9

H2 = 9 10.016 69.92 9090 659 208
D2 = A 10.144 75.07 22550 799 518
C2 = A 10.095 74.80 21080 756 474


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

H2 = 9 10.021 70.23 9090 684 208
D2 = 9 10.146 75.20 22580 827 519
C2 = A 10.102 75.20 22050 787 495


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399.
S 4 3
H A J 8 7
D Q 10 9 7
C K Q 8
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 8
H 10 5 4
D K 8 5 4
C A 9 6 5
S K 10 7 6 5
H K Q 9 6
D A 6
C 10 7

H2 = 9 10.038 70.93 9150 714 210
D2 = A 10.160 75.94 23110 860 531
C2 = A 10.118 75.94 22580 820 507


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

H2 = 9 10.044 71.25 9150 729 210
D2 = A 10.167 76.41 24050 878 551
C2 = 9 10.123 76.17 22580 835 507


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

H2 = 9 10.045 71.67 9150 754 210
D2 = 9 10.164 76.67 24050 903 551
C2 = A 10.124 76.67 23520 863 527


428.
S 5
H K 10 5 4
D A Q 8 7 5
C Q 7 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 8 6
H Q J 8
D K 9 4
C K 10 8 6
S Q 10 7 4 3
H A 9 7 6
D 10 6
C A 9

H2 = 9 10.047 71.50 9180 770 211
D2 = A 10.166 76.64 25020 922 572
C2 = 9 10.121 76.40 23520 876 527


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

H2 = 9 10.052 71.62 9270 827 214
D2 = A 10.170 76.64 26110 988 597
C2 = 9 10.122 76.20 23580 933 529


463.
S 7
H A J 7 6
D Q 6 4
C A 10 9 8 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 8 4
H K Q 9
D K 10 9 8 5
C 7 5
S K 10 6 5 3
H 10 8 5 4
D A 7
C K Q

H2 = 9 10.050 71.27 9270 836 214
D2 = 9 10.166 76.24 26110 997 597
C2 = A 10.121 76.03 24520 945 549


465.
S 6
H A Q J 7
D 9 8 7 4
C Q 8 7 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q 8 3
H 10 5 4
D A K Q 10
C 10 9 6
S K 10 7 5 4
H K 9 8 6
D 6 5
C A K

H2 = 9 10.045 70.97 9270 839 214
D2 = 9 10.161 75.91 26110 1000 597
C2 = A 10.118 75.91 25460 951 569


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

H2 = 9 10.040 71.01 9270 858 214
D2 = A 10.158 76.05 27080 1025 618
C2 = 9 10.113 75.84 25490 973 570


477.
S 7 4
H Q 7 6 4
D K 10 9 5
C A Q 8
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 5
H A K 5
D Q 8 7 6 4
C 9 7 5
S K Q 8 6 3
H J 10 9 8
D A
C K 10 6

H2 = 9 10.038 70.86 9270 858 214
D2 = A 10.157 76.10 27550 1028 628
C2 = A 10.113 75.89 25960 976 580


481.
S 10 5
H A Q J 8
D Q 10 6 5
C Q 10 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 4
H 9 6 5
D K 9 7 4
C A K 9 8
S K Q 7 6 3
H K 10 7 4
D A 8
C 7 5

H2 = 9 10.040 70.89 9270 864 214
D2 = A 10.160 76.30 28490 1037 648
C2 = 9 10.116 75.88 26020 985 582


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488.
S 10
H K J 8 7 5
D K 10 7 6
C A 9 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 6 5
H A Q
D 9 8 5 4
C K Q 8 6
S K Q 7 4 3
H 10 9 6 4
D A Q
C 10 7

H2 = 9 10.037 70.70 9270 875 214
D2 = A 10.158 76.23 29430 1051 668
C2 = 9 10.117 75.61 26140 1002 586


512.
S K 10
H J 8 7 4
D 9 8 7 4
C A Q 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 6
H 10 9 6
D A K 5
C K 10 9 8 6
S Q 7 5 4 3
H A K Q 5
D Q 10 6
C 7

H2 = A 10.047 71.29 9800 921 226
D2 = A 10.166 76.56 30050 1103 683
C2 = 9 10.121 75.78 26230 1048 589


540.
S
H A Q 10 6
D Q 9 7 5 4
C Q 9 7 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 6 4
H J 5 4
D K 8 6
C A K 8 5
S Q 10 8 7 5 3
H K 9 8 7
D A 10
C 10

H2 = 9 10.048 71.85 9830 970 227
D2 = A 10.170 77.04 30760 1167 701
C2 = A 10.122 76.30 26830 1103 604


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

H2 = A 10.047 71.61 10360 998 239
D2 = 9 10.165 76.49 30820 1193 703
C2 = B 10.118 75.95 27360 1127 616


556.
S Q
H 10 7 6 4
D A K Q 6
C 10 8 7 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 5 3
H Q 8 5
D 9 8 5 4
C A K Q
S K 10 7 6 4
H A K J 9
D 10 7
C 9 5

H2 = A 10.047 71.76 10830 1004 249
D2 = B 10.165 76.62 31350 1201 715
C2 = 9 10.115 75.90 27360 1131 616


568.
S 5 4
H A Q 7 4
D K 8 4
C Q 8 6 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 8 3
H K 10 6
D Q 9 7 6 5
C A 10 7
S K Q 10 7 6
H J 9 8 5
D A 10
C K 9

H2 = 9 10.058 72.18 10890 1028 251
D2 = A 10.174 77.11 31820 1225 725
C2 = A 10.125 76.41 27830 1155 626


579.
S 8 7
H K Q 9 8 4
D A 8 7 5 4
C 8
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 4
H J 6
D K Q 10 9 6
C A Q 9 7
S Q 10 6 5 3
H A 10 7 5
D
C K 10 6 5

H2 = 9 10.057 72.02 10920 1047 252
D2 = A 10.174 77.03 32350 1250 737
C2 = A 10.124 76.34 28330 1177 637


583.
S 8
H 10 8 7 5
D A K 6 5
C Q 8 7 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 5 3
H K Q 4
D 10 9 8 7
C A 10 5
S Q 10 7 6 4
H A J 9 6
D Q 4
C K 9

H2 = 9 10.055 71.87 10920 1053 252
D2 = A 10.173 77.02 32820 1259 747
C2 = A 10.123 76.33 28800 1186 647


586.
S 6
H A J 9 6
D Q 10 9 8 5
C Q 8 6
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K 8 5
H 10 5 4
D A K
C K 10 9 7 5
S Q 10 7 4 3
H K Q 8 7
D 7 6 4
C A

H2 = A 10.056 72.01 11390 1058 262
D2 = 9 10.174 76.96 32850 1264 748
C2 = A 10.126 76.45 29300 1194 658


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

H2 = A 10.056 72.06 11860 1061 272
D2 = 9 10.172 76.83 32850 1264 748
C2 = A 10.126 76.49 29770 1197 668


TopMain

604.
S 10 4
H A J 8 5 4
D Q 7 5
C K 10 8
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K
H 9 6
D K 10 8 6 4
C A 9 7 6 5
S Q 8 7 6 5 3
H K Q 10 7
D A 9
C Q

H2 = A 10.061 72.52 12390 1094 284
D2 = 9 10.172 76.99 32930 1294 751
C2 = A 10.132 76.82 30440 1236 685


605.
S
H A Q 10 5
D Q 9 8 7 5 4
C 10 9 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS K Q 7
H J 8 7
D A K 10 6
C Q 8 5
S 10 8 6 5 4 3
H K 9 6 4
D
C A K 6

H2 = 9 10.060 72.40 12390 1094 284
D2 = A 10.172 77.02 33400 1297 761
C2 = A 10.132 76.86 30910 1239 695


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

H2 = 9 10.059 72.25 12390 1101 284
D2 = A 10.172 77.01 34340 1307 781
C2 = 9 10.131 76.68 30910 1246 695


630.
S 4
H A Q 10 6
D K 9 8 7 4
C 8 6 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 7 3
H K 8 4
D A 10 5
C K Q 9 7
S K Q 8 6 5
H J 9 7 5
D Q 6
C A 10

H2 = 9 10.068 72.70 12510 1142 288
D2 = A 10.184 77.46 35550 1358 810
C2 = 9 10.135 76.98 30940 1280 696


642.
S 7 4 3
H 10 8 7 6
D A K 9
C A 8 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS Q
H Q 9 5
D Q 7 6 4
C Q 10 9 6 5
S K 10 8 6 5
H A K J 4
D 10 8 5
C K

H2 = A 10.072 73.05 13450 1165 308
D2 = 9 10.185 77.57 35580 1381 811
C2 = 9 10.139 77.10 31030 1306 699


674.
S 4
H 10 9 6 5 4
D K 10 9 6
C A K 10
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 10 3
H K Q
D A Q 8 7
C 9 8 7 6 5
S K Q 8 7 6 5
H A J 8 7
D 5 4
C Q

H2 = 9 10.077 73.29 13510 1222 310
D2 = 9 10.191 77.60 35820 1450 819
C2 = A 10.145 77.30 32150 1372 725


679.
S
H K 9 6 5
D K Q 9 8 7 6
C Q 8 5
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 7 6 3
H 10 8 7
D A 10 5 4
C A K 6
S K Q 10 8 5 4
H A Q J 4
D
C 10 9 7

H2 = 9 10.072 73.05 13570 1231 312
D2 = A 10.186 77.47 36290 1459 829
C2 = A 10.141 77.17 32720 1384 739


680.
S 10 6
H A J 9 8
D 10 7 5
C K Q 9 8
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 5 4
H 7 6 4
D A Q 8 6 4
C A 10 7
S K Q 8 7 3
H K Q 10 5
D K 9
C 6 5

H2 = 9 10.071 72.94 13570 1231 312
D2 = A 10.185 77.50 36760 1462 839
C2 = A 10.141 77.21 33190 1387 749


686.
S 10 6
H Q 10 7 6
D K Q 6
C A 10 9 8
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 7
H J 8 5
D A 10 9 4
C K Q 7 6 5
S K Q 8 5 4 3
H A K 9 4
D 8 7 5
C

H2 = A 10.070 73.03 14510 1243 332
D2 = 9 10.184 77.41 36790 1474 840
C2 = 9 10.140 77.11 33220 1399 750


690.
S 8 5
H A K J 7
D Q 10 6 4
C 9 8 7
S A J 9 2
H 3 2
D J 3 2
C J 4 3 2
TableS 4 3
H 10 6 4
D K 9 7 5
C A K 10 6
S K Q 10 7 6
H Q 9 8 5
D A 8
C Q 5

H2 = 9 10.071 73.04 14540 1250 333
D2 = A 10.186 77.54 37790 1484 862
C2 = 9 10.141 77.10 33250 1406 751


TopMain

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

H2 = A 10.112 74.86 305130 18643 6924
D2 = A 10.196 78.15 557330 21052 12691
C2 = A 10.166 77.57 508140 20251 11509


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

H2 = B 10.112 74.86 305130 18645 6924
D2 = B 10.196 78.15 557330 21054 12691
C2 = B 10.166 77.57 508140 20253 11509


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

H2 = A 10.112 74.86 306070 18649 6944
D2 = 9 10.196 78.14 557330 21055 12691
C2 = 9 10.166 77.56 508140 20254 11509


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

H2 = 9 10.112 74.85 306070 18649 6944
D2 = A 10.196 78.15 557800 21058 12701
C2 = A 10.166 77.57 508610 20257 11519


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

H2 = C 10.112 74.86 306070 18651 6944
D2 = C 10.196 78.15 557800 21060 12701
C2 = C 10.166 77.57 508610 20259 11519


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

H2 = 9 10.112 74.85 306070 18653 6944
D2 = 9 10.196 78.14 557800 21062 12701
C2 = 9 10.166 77.56 508610 20261 11519


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

H2 = B 10.112 74.85 306100 18656 6945
D2 = A 10.196 78.14 557800 21062 12701
C2 = B 10.166 77.56 508640 20264 11520


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

H2 = A 10.112 74.85 306100 18658 6945
D2 = A 10.196 78.15 557800 21064 12701
C2 = A 10.166 77.57 508640 20266 11520


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

H2 = A 10.112 74.86 306100 18660 6945
D2 = A 10.196 78.15 557800 21066 12701
C2 = A 10.166 77.57 508640 20268 11520


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

H2 = A 10.112 74.86 306100 18662 6945
D2 = A 10.196 78.15 557800 21068 12701
C2 = A 10.166 77.57 508640 20270 11520

TopMain

© 2016 Richard Pavlicek