Main     Simulation 8Z08 by Richard Pavlicek

[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 A J 9 2 3 2 J 3 2 J 4 3 2

 WestPassPass North1 NT14 EastPassAll Pass South1 2
 1. forcing

4 South

Should West lead the 2, 2 or 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
210.11274.86306100186626945
210.16677.575086402027011520
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. — K 9 8 7 6 K Q 9 7 4 10 9 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 10 5 4 Q 5 10 8 5 A K Q 7 K 8 7 6 3 A J 10 4 A 6 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. 5 A J 5 4 A 10 6 5 4 10 9 7 A J 9 2 3 2 J 3 2 J 4 3 2 Q 4 3 Q 10 9 K 9 8 7 Q 6 5 K 10 8 7 6 K 8 7 6 Q 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. — 10 8 7 4 A Q 10 5 4 K 10 9 6 A J 9 2 3 2 J 3 2 J 4 3 2 K 10 8 4 A K 6 K 8 6 8 7 5 Q 7 6 5 3 Q J 9 5 9 7 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. K 10 K J 5 4 9 6 K 10 9 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 8 7 A Q 10 K 10 8 7 5 Q 8 7 Q 6 5 4 3 9 8 7 6 A Q 4 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. 5 A J 9 5 A 9 8 5 9 8 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 Q 8 7 8 7 6 K Q 10 7 6 K Q K 10 6 4 3 K Q 10 4 4 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. — A Q 7 6 5 K 10 9 7 6 10 9 8 A J 9 2 3 2 J 3 2 J 4 3 2 Q 10 7 5 K 10 A Q 8 4 Q 7 6 K 8 6 4 3 J 9 8 4 5 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. 4 K 10 9 5 K 10 8 7 5 A 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 K 8 7 8 7 A 6 4 Q 10 9 8 7 Q 10 6 5 3 A Q J 6 4 Q 9 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. 8 5 10 9 7 4 A K Q 8 4 10 9 A J 9 2 3 2 J 3 2 J 4 3 2 K 3 K 6 5 10 9 6 5 K Q 8 6 Q 10 7 6 4 A Q J 8 7 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. — Q 8 5 4 A 10 8 6 K 8 7 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 K 8 3 J 7 6 K Q 9 7 4 A 9 Q 10 7 6 5 4 A K 10 9 5 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. 7 4 K Q 8 5 A 10 9 5 4 8 5 A J 9 2 3 2 J 3 2 J 4 3 2 6 5 J 10 7 K 8 6 A Q 9 7 6 K Q 10 8 3 A 9 6 4 Q 7 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

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 19. 5 A Q J 9 K 9 8 6 5 10 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 10 8 7 K 6 4 A 4 K Q 9 8 5 K Q 6 4 3 10 8 7 5 Q 10 7 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. K 8 J 8 6 4 Q 10 8 5 K Q 7 A J 9 2 3 2 J 3 2 J 4 3 2 5 4 A Q 7 9 7 4 A 9 8 6 5 Q 10 7 6 3 K 10 9 5 A K 6 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. K 7 K J 7 5 Q 10 6 K 9 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 10 8 8 6 4 K 9 7 5 4 A Q 10 Q 6 5 4 3 A Q 10 9 A 8 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. 7 A 8 7 5 10 7 6 K Q 9 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 8 6 4 K 6 4 A 9 8 A 10 8 6 K Q 10 5 3 Q J 10 9 K Q 5 4 —

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. K Q 10 8 5 K Q 7 6 5 K 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 10 7 6 A 7 4 A 10 9 4 10 9 6 Q 8 5 4 3 K J 9 6 8 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. 3 K J 7 6 K Q 9 8 4 Q 9 5 A J 9 2 3 2 J 3 2 J 4 3 2 K 10 6 10 5 4 A 10 7 6 A 10 7 Q 8 7 5 4 A Q 9 8 5 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. Q 5 K J 9 5 8 4 A Q 8 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 10 7 Q 10 6 K Q 10 9 K 10 9 6 K 8 6 4 3 A 8 7 4 A 7 6 5 —

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. 4 J 10 8 6 K 10 4 A K 8 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 8 5 A K 9 9 8 6 5 Q 10 9 K 10 7 6 3 Q 7 5 4 A Q 7 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. 5 A J 10 4 8 6 K 10 8 7 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 8 7 3 Q 9 8 K Q 9 7 5 A 9 K Q 10 6 4 K 7 6 5 A 10 4 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. 4 9 6 5 4 Q 7 5 4 A K 10 9 A J 9 2 3 2 J 3 2 J 4 3 2 K 7 3 A J 7 K 9 8 6 8 7 6 Q 10 8 6 5 K Q 10 8 A 10 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

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 79. 10 3 Q 10 9 7 A 8 6 5 A 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 5 4 K 8 6 K 10 9 4 K 9 8 5 K Q 8 7 6 A J 5 4 Q 7 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. Q K Q 7 6 5 Q 5 4 K 9 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 7 5 4 9 4 A K 10 7 Q 10 8 5 K 10 8 6 3 A J 10 8 9 8 6 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. 7 3 10 8 7 6 4 A Q 9 K Q 7 A J 9 2 3 2 J 3 2 J 4 3 2 Q 6 K 10 8 7 5 4 A 10 9 6 5 K 10 8 5 4 A Q J 9 5 K 6 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. 10 7 K 10 6 5 A 10 8 7 A 10 7 A J 9 2 3 2 J 3 2 J 4 3 2 K 4 Q J 7 K 9 6 5 4 9 6 5 Q 8 6 5 3 A 9 8 4 Q 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. 6 K 10 7 4 A 8 7 6 4 Q 10 8 A J 9 2 3 2 J 3 2 J 4 3 2 K 10 5 9 6 5 Q 10 9 A K 9 6 Q 8 7 4 3 A Q J 8 K 5 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. 10 5 A J 7 5 K Q 8 6 5 Q 7 A J 9 2 3 2 J 3 2 J 4 3 2 7 3 Q 9 6 A 10 9 7 4 K 10 5 K Q 8 6 4 K 10 8 4 — 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. 10 7 J 8 7 5 A K Q 10 7 10 7 A J 9 2 3 2 J 3 2 J 4 3 2 Q 4 K 10 6 9 8 6 A Q 9 8 5 K 8 6 5 3 A Q 9 4 5 4 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. 4 K Q 6 4 10 9 7 A 9 8 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 10 8 5 10 9 7 A K 6 K Q 10 5 K Q 7 6 3 A J 8 5 Q 8 5 4 —

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. 8 5 A K 10 8 K Q 9 6 9 8 5 A J 9 2 3 2 J 3 2 J 4 3 2 K 6 Q 5 10 8 7 5 4 A Q 10 6 Q 10 7 4 3 J 9 7 6 4 A 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. 10 A Q J 10 4 K 10 6 5 8 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 8 6 5 K 7 9 8 7 4 A K 10 9 K Q 7 4 3 9 8 6 5 A Q 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

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 159. 7 Q 10 6 4 K 8 6 A 10 8 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 Q 10 6 9 8 5 A 9 7 5 K 9 5 K 8 5 4 3 A K J 7 Q 10 4 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. 10 Q 8 6 4 Q A Q 10 9 7 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 K 8 7 10 9 7 A 10 9 8 4 K 8 Q 6 5 4 3 A K J 5 K 7 6 5 —

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. 3 Q 7 6 4 K 9 8 6 5 A 9 8 A J 9 2 3 2 J 3 2 J 4 3 2 10 6 4 K 10 8 A Q 7 4 K 10 5 K Q 8 7 5 A J 9 5 10 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. 5 Q J 5 4 K 10 8 5 A 10 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 K 7 3 A 10 7 7 4 K Q 9 6 5 Q 10 8 6 4 K 9 8 6 A Q 9 6 —

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. — K 8 5 4 A K 10 9 7 5 10 8 6 A J 9 2 3 2 J 3 2 J 4 3 2 K 10 6 5 J 7 6 Q 8 6 4 A K Q 8 7 4 3 A Q 10 9 — 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. 8 A K J 7 9 8 4 Q 10 9 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 Q 5 3 10 8 4 Q 10 7 5 A K 6 K 10 7 6 4 Q 9 6 5 A K 6 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. 8 A Q 8 5 8 6 4 K Q 10 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 10 4 3 9 7 6 A Q 9 7 A 9 6 K Q 7 6 5 K J 10 4 K 10 5 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. 6 4 Q 10 6 4 K Q 10 7 6 A 6 A J 9 2 3 2 J 3 2 J 4 3 2 Q 8 K 9 8 A 8 5 Q 10 9 8 5 K 10 7 5 3 A J 7 5 9 4 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. 7 Q J 8 6 K 9 8 5 A 8 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 5 4 3 9 5 4 A Q 7 K 10 9 5 K Q 10 8 6 A K 10 7 10 6 4 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. 3 Q 10 9 5 Q 10 6 5 4 A Q 6 A J 9 2 3 2 J 3 2 J 4 3 2 Q 8 5 A 6 4 K 9 8 K 10 7 5 K 10 7 6 4 K J 8 7 A 7 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

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 249. 6 5 10 7 5 4 A K Q 10 9 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 Q 4 K J 6 7 5 4 A 10 9 6 5 K 10 8 7 3 A Q 9 8 8 6 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. 4 Q 8 6 5 Q 10 8 6 K Q 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 K 7 5 J 10 7 A 7 A 10 9 8 7 Q 10 8 6 3 A K 9 4 K 9 5 4 —

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. 3 A 10 7 5 7 6 5 4 A Q 8 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 8 7 K 9 6 Q 8 K 10 9 7 6 K 10 6 5 4 Q J 8 4 A K 10 9 —

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. 8 7 K Q J 5 10 9 7 A 10 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 10 5 10 8 7 A Q 8 4 K Q 8 7 K Q 6 4 3 A 9 6 4 K 6 5 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. Q 7 9 8 7 5 A Q 9 7 K 10 9 A J 9 2 3 2 J 3 2 J 4 3 2 10 8 A J 4 10 8 6 5 4 A 8 6 K 6 5 4 3 K Q 10 6 K 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. 10 4 J 10 5 4 A Q 9 5 A 9 5 A J 9 2 3 2 J 3 2 J 4 3 2 8 A 7 6 10 8 7 6 4 K Q 10 6 K Q 7 6 5 3 K Q 9 8 K 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. Q Q J 5 4 K 10 9 8 7 4 A 9 A J 9 2 3 2 J 3 2 J 4 3 2 10 8 5 A 10 7 A Q 6 8 7 6 5 K 7 6 4 3 K 9 8 6 5 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. 7 5 3 K 9 8 7 A 9 6 A Q 7 A J 9 2 3 2 J 3 2 J 4 3 2 4 A J 4 10 7 5 4 K 10 8 6 5 K Q 10 8 6 Q 10 6 5 K Q 8 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. 10 Q J 9 7 Q 6 5 4 A Q 10 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 7 5 10 6 5 A K 8 7 9 8 6 K 8 6 4 3 A K 8 4 10 9 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. 7 K 10 8 7 K 9 8 7 K Q 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 8 6 3 A 6 4 Q 5 4 A 10 6 5 K Q 10 5 4 Q J 9 5 A 10 6 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

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 337. 4 A Q 6 4 K Q 10 4 10 7 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 10 5 K 9 5 9 8 7 5 A Q 9 K 8 7 6 3 J 10 8 7 A 6 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. K 7 A 8 7 5 Q 10 8 5 Q 9 6 A J 9 2 3 2 J 3 2 J 4 3 2 10 3 K 10 4 K 9 7 6 4 K 7 5 Q 8 6 5 4 Q J 9 6 A 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. 8 K 7 5 4 Q 8 5 K Q 9 8 5 A J 9 2 3 2 J 3 2 J 4 3 2 7 6 5 8 6 A K 10 4 A 10 7 6 K Q 10 4 3 A Q J 10 9 9 7 6 —

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. 3 Q 10 9 8 A 10 7 6 K 10 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 8 5 4 K J 5 Q 9 8 4 A 9 5 K Q 10 7 6 A 7 6 4 K 5 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. — Q 8 6 4 K 7 6 5 K Q 9 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 Q 7 6 5 9 5 A Q 10 4 A 10 8 K 10 8 4 3 A K J 10 7 9 8 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. 5 K Q 8 4 Q 9 8 7 5 4 K 6 A J 9 2 3 2 J 3 2 J 4 3 2 10 4 3 J 6 5 A K 6 A 8 7 5 K Q 8 7 6 A 10 9 7 10 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. Q 6 K Q 9 6 K 9 6 5 Q 9 7 A J 9 2 3 2 J 3 2 J 4 3 2 K 5 A 8 7 10 7 4 K 10 8 6 5 10 8 7 4 3 J 10 5 4 A Q 8 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. 4 3 A J 7 6 5 K 7 4 Q 10 9 A J 9 2 3 2 J 3 2 J 4 3 2 10 7 K 4 A Q 9 8 5 8 7 6 5 K Q 8 6 5 Q 10 9 8 10 6 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. 10 8 A Q 10 9 A 10 9 7 4 10 8 A J 9 2 3 2 J 3 2 J 4 3 2 K 6 J 7 5 K Q 6 5 Q 7 6 5 Q 7 5 4 3 K 8 6 4 8 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. 10 6 3 A 7 5 4 A 6 4 Q 10 8 A J 9 2 3 2 J 3 2 J 4 3 2 Q Q J 9 Q 10 9 8 7 5 K 9 5 K 8 7 5 4 K 10 8 6 K 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. 4 3 A J 8 7 Q 10 9 7 K Q 8 A J 9 2 3 2 J 3 2 J 4 3 2 Q 8 10 5 4 K 8 5 4 A 9 6 5 K 10 7 6 5 K Q 9 6 A 6 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. 10 8 K Q 7 5 K 10 5 K 10 9 8 A J 9 2 3 2 J 3 2 J 4 3 2 K 7 J 9 4 9 7 6 4 A Q 7 6 Q 6 5 4 3 A 10 8 6 A Q 8 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. K 8 A J 9 8 10 9 8 5 Q 10 5 A J 9 2 3 2 J 3 2 J 4 3 2 5 4 7 6 4 A K 7 6 K 9 8 7 Q 10 7 6 3 K Q 10 5 Q 4 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. 5 K 10 5 4 A Q 8 7 5 Q 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 K 8 6 Q J 8 K 9 4 K 10 8 6 Q 10 7 4 3 A 9 7 6 10 6 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. 3 K J 9 4 A Q 9 4 8 7 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 6 5 7 6 K 10 8 7 6 A K Q K 10 8 7 4 A Q 10 8 5 5 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. 7 A J 7 6 Q 6 4 A 10 9 8 6 A J 9 2 3 2 J 3 2 J 4 3 2 Q 8 4 K Q 9 K 10 9 8 5 7 5 K 10 6 5 3 10 8 5 4 A 7 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. 6 A Q J 7 9 8 7 4 Q 8 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 8 3 10 5 4 A K Q 10 10 9 6 K 10 7 5 4 K 9 8 6 6 5 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. Q J 8 7 6 K 9 8 6 4 K Q 8 A J 9 2 3 2 J 3 2 J 4 3 2 7 4 3 A Q 5 Q 7 5 A 10 7 5 K 10 8 6 5 K 10 9 4 A 10 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. 7 4 Q 7 6 4 K 10 9 5 A Q 8 A J 9 2 3 2 J 3 2 J 4 3 2 10 5 A K 5 Q 8 7 6 4 9 7 5 K Q 8 6 3 J 10 9 8 A 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. 10 5 A Q J 8 Q 10 6 5 Q 10 6 A J 9 2 3 2 J 3 2 J 4 3 2 8 4 9 6 5 K 9 7 4 A K 9 8 K Q 7 6 3 K 10 7 4 A 8 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. 10 K J 8 7 5 K 10 7 6 A 9 5 A J 9 2 3 2 J 3 2 J 4 3 2 8 6 5 A Q 9 8 5 4 K Q 8 6 K Q 7 4 3 10 9 6 4 A Q 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. K 10 J 8 7 4 9 8 7 4 A Q 5 A J 9 2 3 2 J 3 2 J 4 3 2 8 6 10 9 6 A K 5 K 10 9 8 6 Q 7 5 4 3 A K Q 5 Q 10 6 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. — A Q 10 6 Q 9 7 5 4 Q 9 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 K 6 4 J 5 4 K 8 6 A K 8 5 Q 10 8 7 5 3 K 9 8 7 A 10 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. 3 A J 8 4 9 7 4 A Q 10 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 10 7 4 6 5 A K Q 6 K 9 8 6 K Q 8 6 5 K Q 10 9 7 10 8 5 —

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. Q 10 7 6 4 A K Q 6 10 8 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 8 5 3 Q 8 5 9 8 5 4 A K Q K 10 7 6 4 A K J 9 10 7 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. 5 4 A Q 7 4 K 8 4 Q 8 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 8 3 K 10 6 Q 9 7 6 5 A 10 7 K Q 10 7 6 J 9 8 5 A 10 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. 8 7 K Q 9 8 4 A 8 7 5 4 8 A J 9 2 3 2 J 3 2 J 4 3 2 K 4 J 6 K Q 10 9 6 A Q 9 7 Q 10 6 5 3 A 10 7 5 — 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. 8 10 8 7 5 A K 6 5 Q 8 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 K 5 3 K Q 4 10 9 8 7 A 10 5 Q 10 7 6 4 A J 9 6 Q 4 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. 6 A J 9 6 Q 10 9 8 5 Q 8 6 A J 9 2 3 2 J 3 2 J 4 3 2 K 8 5 10 5 4 A K K 10 9 7 5 Q 10 7 4 3 K Q 8 7 7 6 4 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. — 9 8 7 5 A Q 7 6 4 K 10 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 10 7 4 A J 10 10 8 5 A Q 8 K 8 6 5 3 K Q 6 4 K 9 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

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 604. 10 4 A J 8 5 4 Q 7 5 K 10 8 A J 9 2 3 2 J 3 2 J 4 3 2 K 9 6 K 10 8 6 4 A 9 7 6 5 Q 8 7 6 5 3 K Q 10 7 A 9 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. — A Q 10 5 Q 9 8 7 5 4 10 9 7 A J 9 2 3 2 J 3 2 J 4 3 2 K Q 7 J 8 7 A K 10 6 Q 8 5 10 8 6 5 4 3 K 9 6 4 — 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. 10 6 K Q J 9 A 10 9 6 5 10 7 A J 9 2 3 2 J 3 2 J 4 3 2 8 7 10 6 4 K Q 8 7 A Q 9 8 K Q 5 4 3 A 8 7 5 4 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. 4 A Q 10 6 K 9 8 7 4 8 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 10 7 3 K 8 4 A 10 5 K Q 9 7 K Q 8 6 5 J 9 7 5 Q 6 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. 7 4 3 10 8 7 6 A K 9 A 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 Q Q 9 5 Q 7 6 4 Q 10 9 6 5 K 10 8 6 5 A K J 4 10 8 5 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. 4 10 9 6 5 4 K 10 9 6 A K 10 A J 9 2 3 2 J 3 2 J 4 3 2 10 3 K Q A Q 8 7 9 8 7 6 5 K Q 8 7 6 5 A J 8 7 5 4 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. — K 9 6 5 K Q 9 8 7 6 Q 8 5 A J 9 2 3 2 J 3 2 J 4 3 2 7 6 3 10 8 7 A 10 5 4 A K 6 K Q 10 8 5 4 A Q J 4 — 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. 10 6 A J 9 8 10 7 5 K Q 9 8 A J 9 2 3 2 J 3 2 J 4 3 2 5 4 7 6 4 A Q 8 6 4 A 10 7 K Q 8 7 3 K Q 10 5 K 9 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. 10 6 Q 10 7 6 K Q 6 A 10 9 8 A J 9 2 3 2 J 3 2 J 4 3 2 7 J 8 5 A 10 9 4 K Q 7 6 5 K Q 8 5 4 3 A K 9 4 8 7 5 —

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. 8 5 A K J 7 Q 10 6 4 9 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 4 3 10 6 4 K 9 7 5 A K 10 6 K Q 10 7 6 Q 9 8 5 A 8 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

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 9991. 6 3 J 10 8 4 A 10 6 A 7 6 5 A J 9 2 3 2 J 3 2 J 4 3 2 Q 4 Q 9 7 Q 9 8 7 5 4 Q 9 K 10 8 7 5 A K 6 5 K 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. 5 9 7 6 4 A K 6 A 9 8 7 5 A J 9 2 3 2 J 3 2 J 4 3 2 7 3 Q 10 8 Q 10 9 7 4 K Q 10 K Q 10 8 6 4 A K J 5 8 5 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. K 8 9 8 7 5 Q 6 K Q 9 8 7 A J 9 2 3 2 J 3 2 J 4 3 2 7 6 K 10 6 K 10 9 8 7 A 10 5 Q 10 5 4 3 A Q J 4 A 5 4 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. 10 6 A Q 9 7 10 7 4 K Q 8 5 A J 9 2 3 2 J 3 2 J 4 3 2 7 4 8 6 5 A Q 9 8 6 A 10 9 K Q 8 5 3 K J 10 4 K 5 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. — K 9 8 6 4 9 7 5 4 A K 9 8 A J 9 2 3 2 J 3 2 J 4 3 2 K 6 4 Q 10 K Q 10 8 6 Q 7 6 Q 10 8 7 5 3 A J 7 5 A 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. 8 7 A Q 7 6 K 10 5 Q 10 9 6 A J 9 2 3 2 J 3 2 J 4 3 2 4 3 J 8 5 A Q 8 7 K 8 7 5 K Q 10 6 5 K 10 9 4 9 6 4 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. 6 9 6 5 4 10 8 5 A K Q 10 7 A J 9 2 3 2 J 3 2 J 4 3 2 5 4 3 K Q A Q 9 6 4 8 6 5 K Q 10 8 7 A J 10 8 7 K 7 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. 5 A J 8 4 10 8 7 5 4 A 10 9 A J 9 2 3 2 J 3 2 J 4 3 2 10 8 6 K 7 6 Q 6 K 8 7 6 5 K Q 7 4 3 Q 10 9 5 A K 9 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. 10 6 K J 9 8 A 8 5 4 Q 7 6 A J 9 2 3 2 J 3 2 J 4 3 2 8 5 A 10 5 K Q 9 7 6 10 9 5 K Q 7 4 3 Q 7 6 4 10 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. K 4 K J 10 5 K 8 7 5 4 10 5 A J 9 2 3 2 J 3 2 J 4 3 2 10 3 9 6 4 A Q 9 6 K 9 8 6 Q 8 7 6 5 A Q 8 7 10 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

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