Main     Simulation 8Z07 by Richard Pavlicek

Suppose you're on lead against 4 after the auction shown. Should you lead a trump? A diamond from jack-third? Or a club from jack-fourth? Your spade holding suggests a trump lead, as does the infamous "never-lead-from-a-jack school," but the only way to find a definitive answer is with a simulation.

 E-W Vul A J 3 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 at least as long as 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
210.29782.58368260194348427
210.32183.00400690200949212
210.33583.77431710204729829

Results were close, but a trump lead ends up the loser at any form of scoring. Leading from the longer jack comes out on top. For an interesting followup see Four Hearts Lead II.

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:AJ32.32.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 3 2 3 2 J 3 2 J 4 3 2 Q 10 6 5 Q 5 10 8 5 A K Q 7 K 9 8 7 4 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. 6 A J 5 4 A 10 6 5 4 10 9 7 A J 3 2 3 2 J 3 2 J 4 3 2 Q 5 4 Q 10 9 K 9 8 7 Q 6 5 K 10 9 8 7 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 3 2 3 2 J 3 2 J 4 3 2 K 10 9 5 A K 6 K 8 6 8 7 5 Q 8 7 6 4 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 3 2 3 2 J 3 2 J 4 3 2 9 8 A Q 10 K 10 8 7 5 Q 8 7 Q 7 6 5 4 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. 6 A J 9 5 A 9 8 5 9 8 7 6 A J 3 2 3 2 J 3 2 J 4 3 2 Q 9 8 8 7 6 K Q 10 7 6 K Q K 10 7 5 4 K Q 10 4 4 A 10 5

H2 = A 10.200 80.00 30 9 1
D2 = A 10.400 80.00 60 12 2
C2 = A 10.200 80.00 30 9 1

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

H2 = A 10.167 83.33 30 9 1
D2 = B 10.500 83.33 90 15 3
C2 = B 10.333 83.33 60 12 2

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

H2 = B 10.286 85.71 30 11 1
D2 = B 10.571 85.71 90 17 3
C2 = B 10.429 85.71 60 14 2

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

H2 = A 10.250 87.50 30 13 1
D2 = A 10.500 87.50 90 19 3
C2 = A 10.375 87.50 60 16 2

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

H2 = 9 10.111 77.78 30 14 1
D2 = 9 10.333 77.78 90 20 3
C2 = A 10.333 88.89 1000 20 22

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

H2 = A 10.100 80.00 30 16 1
D2 = A 10.300 80.00 90 22 3
C2 = A 10.300 90.00 1000 22 22

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

H2 = A 10.263 84.21 560 36 13
D2 = 9 10.316 78.95 150 39 5
C2 = A 10.316 89.47 1470 39 32

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

H2 = A 10.333 85.71 1030 41 23
D2 = A 10.381 80.95 620 44 15
C2 = 9 10.333 85.71 1470 41 32

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

H2 = A 10.318 86.36 1500 44 33
D2 = A 10.364 81.82 1090 47 25
C2 = 9 10.273 81.82 1470 41 32

 31. 10 7 A 8 6 5 A 9 8 7 Q 9 6 A J 3 2 3 2 J 3 2 J 4 3 2 6 4 Q J 4 K Q 6 5 4 K 10 8 K Q 9 8 5 K 10 9 7 10 A 7 5

H2 = A 10.387 87.10 2000 63 44
D2 = A 10.419 83.87 1620 66 37
C2 = 9 10.323 80.65 1500 57 33

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

H2 = 9 10.194 77.78 2000 69 44
D2 = A 10.278 77.78 2150 78 49
C2 = A 10.194 75.00 2070 69 47

 41. 4 K J 7 6 K Q 9 8 4 Q 9 5 A J 3 2 3 2 J 3 2 J 4 3 2 K 10 7 10 5 4 A 10 7 6 A 10 7 Q 9 8 6 5 A Q 9 8 5 K 8 6

H2 = 9 10.098 73.17 2000 78 44
D2 = 9 10.171 73.17 2150 87 49
C2 = A 10.122 73.17 3010 81 67

 65. 5 J 10 8 6 K 10 4 A K 8 6 5 A J 3 2 3 2 J 3 2 J 4 3 2 Q 9 6 A K 9 9 8 6 5 Q 10 9 K 10 8 7 4 Q 7 5 4 A Q 7 7

H2 = 9 10.138 80.00 2030 123 45
D2 = A 10.231 81.54 2810 141 66
C2 = A 10.154 81.54 3480 126 77

 68. 6 A J 10 4 8 6 K 10 8 7 6 5 A J 3 2 3 2 J 3 2 J 4 3 2 9 8 4 Q 9 8 K Q 9 7 5 A 9 K Q 10 7 5 K 7 6 5 A 10 4 Q

H2 = A 10.132 79.41 2500 128 55
D2 = 9 10.221 79.41 2840 146 67
C2 = A 10.162 80.88 3980 134 88

 69. 7 Q 10 6 4 Q 9 7 4 A Q 10 7 A J 3 2 3 2 J 3 2 J 4 3 2 Q 8 4 K J 9 A 8 6 5 8 6 5 K 10 9 6 5 A 8 7 5 K 10 K 9

H2 = 9 10.116 78.26 2500 129 55
D2 = 9 10.203 78.26 2840 147 67
C2 = A 10.159 81.16 4920 138 108

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

H2 = A 10.155 79.76 3060 161 68
D2 = 9 10.202 78.57 2870 173 68
C2 = A 10.190 82.14 5450 170 120

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 87. 8 4 10 8 7 6 4 A Q 9 K Q 7 A J 3 2 3 2 J 3 2 J 4 3 2 Q 7 K 10 8 7 5 4 A 10 9 6 5 K 10 9 6 5 A Q J 9 5 K 6 8

H2 = B 10.161 79.31 3560 168 79
D2 = B 10.207 78.16 3370 180 79
C2 = 9 10.172 80.46 5450 174 120

 103. 7 K 10 7 4 A 8 7 6 4 Q 10 8 A J 3 2 3 2 J 3 2 J 4 3 2 K 10 6 9 6 5 Q 10 9 A K 9 6 Q 9 8 5 4 A Q J 8 K 5 7 5

H2 = 9 10.146 76.70 3690 198 84
D2 = A 10.214 76.70 4090 219 98
C2 = A 10.146 78.64 5920 201 130

 106. 10 8 J 8 7 5 A K Q 10 7 10 7 A J 3 2 3 2 J 3 2 J 4 3 2 Q 5 K 10 6 9 8 6 A Q 9 8 5 K 9 7 6 4 A Q 9 4 5 4 K 6

H2 = A 10.132 76.42 4160 205 94
D2 = A 10.198 76.42 4560 226 108
C2 = 9 10.123 77.36 5920 205 130

 109. 9 8 A J 6 5 7 5 4 A Q 10 7 A J 3 2 3 2 J 3 2 J 4 3 2 K 4 Q 9 8 K 10 9 8 6 K 9 5 Q 10 7 6 5 K 10 7 4 A Q 8 6

H2 = A 10.147 77.06 4690 213 106
D2 = 9 10.183 76.15 4560 228 108
C2 = A 10.138 77.98 6450 213 142

 111. 8 5 4 J 9 8 4 A Q 5 4 A 5 A J 3 2 3 2 J 3 2 J 4 3 2 7 Q 6 5 K 10 8 6 K 10 9 7 6 K Q 10 9 6 A K 10 7 9 7 Q 8

H2 = A 10.144 77.48 5630 219 126
D2 = 9 10.171 75.68 4560 231 108
C2 = 9 10.126 77.48 6450 216 142

 130. 8 A Q 7 4 Q 10 7 6 5 4 9 5 A J 3 2 3 2 J 3 2 J 4 3 2 9 7 6 K 9 5 A K 8 K 8 7 6 K Q 10 5 4 J 10 8 6 9 A Q 10

H2 = 9 10.192 78.46 5780 256 131
D2 = A 10.223 77.69 5210 274 124
C2 = A 10.169 79.23 7010 250 155

 136. 9 7 Q 10 8 4 K 10 7 5 A Q 7 A J 3 2 3 2 J 3 2 J 4 3 2 8 J 9 7 A Q 9 8 6 K 10 9 8 K Q 10 6 5 4 A K 6 5 4 6 5

H2 = A 10.199 78.68 6780 270 153
D2 = 9 10.221 77.21 5270 285 126
C2 = 9 10.169 78.68 7070 261 157

 139. 5 K Q 6 4 10 9 7 A 9 8 7 6 A J 3 2 3 2 J 3 2 J 4 3 2 10 9 6 10 9 7 A K 6 K Q 10 5 K Q 8 7 4 A J 8 5 Q 8 5 4 —

H2 = 9 10.194 78.42 6780 275 153
D2 = A 10.223 77.70 6210 293 146
C2 = 9 10.165 78.42 7070 266 157

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

H2 = A 10.190 78.87 7250 282 163
D2 = A 10.218 78.17 6680 300 156
C2 = 9 10.155 78.17 7070 270 157

 147. 9 6 A K 10 8 K Q 9 6 9 8 5 A J 3 2 3 2 J 3 2 J 4 3 2 K 7 Q 5 10 8 7 5 4 A Q 10 6 Q 10 8 5 4 J 9 7 6 4 A K 7

H2 = B 10.204 78.91 7810 295 176
D2 = B 10.231 78.23 7240 313 169
C2 = 9 10.143 77.55 7070 274 157

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 148. 9 8 A 7 5 4 K 8 6 4 K 10 5 A J 3 2 3 2 J 3 2 J 4 3 2 Q 4 Q 9 6 Q 10 5 A 9 8 7 6 K 10 7 6 5 K J 10 8 A 9 7 Q

H2 = A 10.203 79.05 8280 298 186
D2 = 9 10.223 77.70 7240 313 169
C2 = A 10.142 77.70 7540 277 167

 150. 10 A Q J 10 4 K 10 6 5 8 7 6 A J 3 2 3 2 J 3 2 J 4 3 2 9 7 6 K 7 9 8 7 4 A K 10 9 K Q 8 5 4 9 8 6 5 A Q Q 5

H2 = 9 10.193 78.67 8280 301 186
D2 = A 10.220 78.00 8180 319 189
C2 = 9 10.133 77.33 7540 280 167

 154. 9 4 K Q 10 5 Q 7 5 A 10 9 5 A J 3 2 3 2 J 3 2 J 4 3 2 8 A 8 6 K 10 8 6 4 K 8 7 6 K Q 10 7 6 5 J 9 7 4 A 9 Q

H2 = A 10.201 79.22 9270 310 207
D2 = 8 10.221 77.92 8240 327 191
C2 = 9 10.136 77.27 7590 287 169

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

H2 = 9 10.195 78.62 9270 318 207
D2 = A 10.220 77.99 8710 338 201
C2 = A 10.138 77.36 8060 298 179

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

H2 = A 10.190 79.14 10210 328 227
D2 = 9 10.209 77.91 8710 345 201
C2 = 9 10.129 77.30 8060 305 179

 177. 10 Q 8 6 4 Q A Q 10 9 7 6 5 A J 3 2 3 2 J 3 2 J 4 3 2 K 9 8 10 9 7 A 10 9 8 4 K 8 Q 7 6 5 4 A K J 5 K 7 6 5 —

H2 = 9 10.220 79.66 10330 357 231
D2 = 9 10.232 78.53 8800 371 204
C2 = A 10.164 78.53 9090 334 202

 183. 10 6 Q 8 6 4 K Q 9 A 9 6 5 A J 3 2 3 2 J 3 2 J 4 3 2 9 7 K 9 5 A 10 8 7 6 K 10 8 K Q 8 5 4 A J 10 7 5 4 Q 7

H2 = A 10.219 79.78 11300 372 252
D2 = 9 10.219 78.14 8800 380 204
C2 = 9 10.158 78.14 9120 346 203

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

H2 = 9 10.246 80.30 11480 414 258
D2 = B 10.256 79.31 10010 425 233
C2 = 9 10.172 78.82 9150 379 204

 211. 6 K 10 9 6 K 10 8 4 A 9 7 6 A J 3 2 3 2 J 3 2 J 4 3 2 7 5 A J 5 A Q 9 7 5 10 8 5 K Q 10 9 8 4 Q 8 7 4 6 K Q

H2 = A 10.223 79.15 12000 431 270
D2 = 9 10.227 77.73 10060 439 235
C2 = A 10.152 77.73 9680 396 216

 217. 9 8 5 J 10 7 4 A Q 10 A 9 8 A J 3 2 3 2 J 3 2 J 4 3 2 4 Q 6 5 K 9 8 7 6 K 10 6 5 K Q 10 7 6 A K 9 8 5 4 Q 7

H2 = A 10.230 79.26 12530 445 282
D2 = A 10.235 77.88 10590 453 247
C2 = 9 10.147 77.42 9680 404 216

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 228. 9 A Q 8 5 8 6 4 K Q 10 8 7 A J 3 2 3 2 J 3 2 J 4 3 2 10 5 4 9 7 6 A Q 9 7 A 9 6 K Q 8 7 6 K J 10 4 K 10 5 5

H2 = A 10.211 78.51 13030 469 293
D2 = 9 10.211 76.75 10620 474 248
C2 = A 10.127 76.75 10150 425 226

 234. 7 5 Q 10 6 4 K Q 10 7 6 A 6 A J 3 2 3 2 J 3 2 J 4 3 2 Q 9 K 9 8 A 8 5 Q 10 9 8 5 K 10 8 6 4 A J 7 5 9 4 K 7

H2 = A 10.205 78.63 13500 480 303
D2 = 9 10.205 76.50 10650 485 249
C2 = A 10.128 76.92 10650 439 237

 239. 4 Q 10 9 5 Q 10 6 5 4 A Q 6 A J 3 2 3 2 J 3 2 J 4 3 2 Q 9 6 A 6 4 K 9 8 K 10 7 5 K 10 8 7 5 K J 8 7 A 7 9 8

H2 = 9 10.213 78.66 13530 490 304
D2 = A 10.218 76.99 11620 498 270
C2 = 9 10.134 76.99 10650 446 237

 246. 4 Q 10 8 6 5 A Q 6 5 4 7 6 A J 3 2 3 2 J 3 2 J 4 3 2 Q 9 6 K J K 10 9 8 7 A Q 5 K 10 8 7 5 A 9 7 4 — K 10 9 8

H2 = 9 10.199 78.05 13530 500 304
D2 = A 10.211 76.83 12120 514 281
C2 = A 10.130 76.83 11150 462 248

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

H2 = A 10.201 78.31 14000 507 314
D2 = A 10.213 77.11 12590 521 291
C2 = 9 10.129 76.71 11150 466 248

 264. 9 Q 10 7 4 A 10 7 6 4 K Q 7 A J 3 2 3 2 J 3 2 J 4 3 2 7 6 5 A K 8 K 8 10 9 8 6 5 K Q 10 8 4 J 9 6 5 Q 9 5 A

H2 = A 10.231 79.55 14530 539 326
D2 = 9 10.239 78.03 12680 550 294
C2 = A 10.159 78.03 11650 495 259

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

H2 = A 10.237 80.14 15060 584 338
D2 = 9 10.244 78.40 12770 595 297
C2 = A 10.174 78.75 12210 543 272

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

H2 = A 10.242 80.55 16000 598 358
D2 = 9 10.246 78.50 12770 606 297
C2 = 9 10.177 78.84 12210 554 272

 297. 10 5 J 10 5 4 A Q 9 5 A 9 5 A J 3 2 3 2 J 3 2 J 4 3 2 9 A 7 6 10 8 7 6 4 K Q 10 6 K Q 8 7 6 4 K Q 9 8 K 8 7

H2 = A 10.246 80.47 16590 610 372
D2 = A 10.246 78.45 13300 615 309
C2 = 9 10.168 78.45 12210 557 272

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

H2 = A 10.248 80.53 17590 625 394
D2 = 9 10.238 78.22 13300 624 309
C2 = 9 10.168 78.22 12270 569 274

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 316. 7 6 5 7 6 5 4 A Q 8 5 A 8 A J 3 2 3 2 J 3 2 J 4 3 2 10 A 9 8 K 10 7 6 4 Q 7 6 5 K Q 9 8 4 K Q J 10 9 K 10 9

H2 = A 10.269 81.01 18590 650 416
D2 = 9 10.259 78.48 13450 649 314
C2 = 9 10.196 78.48 12420 597 279

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

H2 = 9 10.265 80.76 18590 650 416
D2 = A 10.259 78.55 13920 652 324
C2 = A 10.196 78.55 12890 600 289

 322. 8 6 4 K 9 8 7 A 9 6 A Q 7 A J 3 2 3 2 J 3 2 J 4 3 2 5 A J 4 10 7 5 4 K 10 8 6 5 K Q 10 9 7 Q 10 6 5 K Q 8 9

H2 = A 10.264 81.06 19060 659 426
D2 = A 10.261 78.88 14420 664 335
C2 = 9 10.196 78.57 12920 609 290

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

H2 = A 10.267 81.16 19560 672 437
D2 = 9 10.261 78.72 14480 674 337
C2 = A 10.207 78.72 13540 628 305

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

H2 = A 10.266 81.44 20500 684 457
D2 = 9 10.257 78.74 14480 683 337
C2 = 9 10.204 78.74 13540 637 305

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

H2 = 9 10.264 81.31 20560 690 459
D2 = A 10.255 78.93 14950 689 347
C2 = A 10.202 78.93 14010 643 315

 342. 9 K 7 5 4 Q 8 5 K Q 9 8 5 A J 3 2 3 2 J 3 2 J 4 3 2 8 7 6 8 6 A K 10 4 A 10 7 6 K Q 10 5 4 A Q J 10 9 9 7 6 —

H2 = 9 10.260 81.29 20560 697 459
D2 = 9 10.254 78.95 14980 699 348
C2 = A 10.205 79.24 14980 656 336

 343. 10 6 A K 9 6 5 Q 7 6 4 9 6 A J 3 2 3 2 J 3 2 J 4 3 2 9 4 8 4 A K 9 5 K Q 10 8 5 K Q 8 7 5 Q J 10 7 10 8 A 7

H2 = A 10.259 81.34 21500 701 479
D2 = 9 10.251 78.72 14980 700 348
C2 = 9 10.201 79.01 14980 657 336

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

H2 = A 10.256 81.77 21970 717 489
D2 = 9 10.248 78.92 15040 716 350
C2 = A 10.199 79.49 15450 673 346

 366. 5 4 A J 7 6 5 K 7 4 Q 10 9 A J 3 2 3 2 J 3 2 J 4 3 2 10 8 K 4 A Q 9 8 5 8 7 6 5 K Q 9 7 6 Q 10 9 8 10 6 A K

H2 = 9 10.262 81.69 22030 748 491
D2 = 9 10.251 78.96 15070 744 351
C2 = A 10.208 79.78 16420 704 367

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

H2 = A 10.262 81.74 22500 751 501
D2 = 9 10.248 78.75 15070 744 351
C2 = A 10.207 79.84 16890 707 377

 379. 10 4 K 9 6 4 K 10 7 6 K Q 7 A J 3 2 3 2 J 3 2 J 4 3 2 Q 8 J 10 7 A Q 8 5 9 8 6 5 K 9 7 6 5 A Q 8 5 9 4 A 10

H2 = A 10.269 82.06 23530 780 524
D2 = 9 10.245 78.89 15070 761 351
C2 = 9 10.214 79.95 16980 733 380

 428. 6 K 10 5 4 A Q 8 7 5 Q 7 5 A J 3 2 3 2 J 3 2 J 4 3 2 K 9 7 Q J 8 K 9 4 K 10 8 6 Q 10 8 5 4 A 9 7 6 10 6 A 9

H2 = 9 10.290 83.18 23680 876 529
D2 = A 10.273 80.61 16220 863 378
C2 = 9 10.241 81.31 17160 829 386

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

H2 = A 10.292 83.33 24150 885 539
D2 = 9 10.273 80.56 16220 869 378
C2 = A 10.243 81.48 17630 838 396

 437. 5 4 J 9 8 6 A K 9 6 Q 8 7 A J 3 2 3 2 J 3 2 J 4 3 2 10 7 A 10 4 Q 10 8 7 K 10 9 6 K Q 9 8 6 K Q 7 5 5 4 A 5

H2 = A 10.295 83.52 24620 896 549
D2 = A 10.277 80.78 16690 880 388
C2 = 9 10.245 81.46 17630 846 396

 463. 8 A J 7 6 Q 6 4 A 10 9 8 6 A J 3 2 3 2 J 3 2 J 4 3 2 Q 9 5 K Q 9 K 10 9 8 5 7 5 K 10 7 6 4 10 8 5 4 A 7 K Q

H2 = A 10.300 82.94 25210 951 563
D2 = 9 10.274 80.13 16720 923 389
C2 = A 10.255 80.99 18250 904 411

 468. 10 8 Q J 8 5 K 9 7 6 A Q 7 A J 3 2 3 2 J 3 2 J 4 3 2 9 5 A 6 4 A Q 8 4 10 9 8 5 K Q 7 6 4 K 10 9 7 10 5 K 6

H2 = 9 10.297 82.69 25210 960 563
D2 = 9 10.271 79.91 16720 932 389
C2 = A 10.254 80.98 19190 916 431

 481. 10 6 A Q J 8 Q 10 6 5 Q 10 6 A J 3 2 3 2 J 3 2 J 4 3 2 9 5 9 6 5 K 9 7 4 A K 9 8 K Q 8 7 4 K 10 7 4 A 8 7 5

H2 = 9 10.289 82.74 25210 984 563
D2 = A 10.266 80.25 17660 959 409
C2 = 9 10.249 81.08 19250 943 433

 488. 10 K J 8 7 5 K 10 7 6 A 9 5 A J 3 2 3 2 J 3 2 J 4 3 2 9 7 6 A Q 9 8 5 4 K Q 8 6 K Q 8 5 4 10 9 6 4 A Q 10 7

H2 = 9 10.285 82.38 25240 997 564
D2 = A 10.262 80.12 18600 972 429
C2 = 9 10.248 80.74 19340 959 436

 493. 7 6 Q 10 9 4 Q 10 9 4 A Q 5 A J 3 2 3 2 J 3 2 J 4 3 2 10 4 A 7 5 A 8 6 5 K 9 8 7 K Q 9 8 5 K J 8 6 K 7 10 6

H2 = 9 10.282 82.35 25300 1008 566
D2 = A 10.260 80.32 19540 983 449
C2 = 9 10.243 80.73 19340 967 436

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

H2 = A 10.290 82.60 26270 1025 587
D2 = 9 10.266 80.40 19570 997 450
C2 = 9 10.248 80.80 19340 978 436

 502. 10 6 Q 10 8 6 K 9 4 A 10 8 7 A J 3 2 3 2 J 3 2 J 4 3 2 Q 7 K J 4 Q 8 7 6 5 K 9 6 K 9 8 5 4 A 9 7 5 A 10 Q 5

H2 = 9 10.287 82.47 26270 1026 587
D2 = A 10.267 80.48 20540 1004 471
C2 = 9 10.247 80.68 19370 982 437

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

H2 = A 10.291 82.62 26800 1047 599
D2 = A 10.273 80.66 21130 1028 485
C2 = 9 10.246 80.66 19370 997 437

 516. 9 6 A 10 8 5 A 10 8 5 4 6 5 A J 3 2 3 2 J 3 2 J 4 3 2 Q 5 J 9 6 K Q 9 7 6 A 9 7 K 10 8 7 4 K Q 7 4 — K Q 10 8

H2 = A 10.289 82.56 27740 1057 619
D2 = 9 10.269 80.43 21130 1035 485
C2 = 9 10.242 80.43 19370 1004 437

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

H2 = A 10.292 82.82 28240 1073 630
D2 = 9 10.273 80.53 21250 1051 489
C2 = A 10.246 80.73 19870 1020 448

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

H2 = 9 10.291 82.96 28240 1098 630
D2 = B 10.280 80.93 21840 1086 503
C2 = A 10.254 81.11 20500 1056 464

 553. 4 A J 8 4 9 7 4 A Q 10 7 5 A J 3 2 3 2 J 3 2 J 4 3 2 10 8 5 6 5 A K Q 6 K 9 8 6 K Q 9 7 6 K Q 10 9 7 10 8 5 —

H2 = A 10.289 82.82 28770 1126 642
D2 = 9 10.277 80.65 21900 1112 505
C2 = B 10.251 81.01 21030 1080 476

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

H2 = B 10.290 82.91 29270 1133 653
D2 = B 10.277 80.76 22400 1119 516
C2 = 9 10.248 80.94 21030 1084 476

 570. 10 Q J 10 8 Q 9 8 4 A Q 8 6 A J 3 2 3 2 J 3 2 J 4 3 2 9 6 5 A 6 4 A 10 5 K 9 7 5 K Q 8 7 4 K 9 7 5 K 7 6 10

H2 = 9 10.298 83.16 29270 1160 653
D2 = A 10.288 81.23 23340 1149 536
C2 = 9 10.258 81.23 21030 1111 476

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

H2 = A 10.301 83.33 30240 1187 674
D2 = 9 10.289 81.27 23370 1173 537
C2 = 9 10.258 81.27 21030 1132 476

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 583. 9 10 8 7 5 A K 6 5 Q 8 7 6 A J 3 2 3 2 J 3 2 J 4 3 2 K 6 4 K Q 4 10 9 8 7 A 10 5 Q 10 8 7 5 A J 9 6 Q 4 K 9

H2 = 9 10.298 83.19 30240 1187 674
D2 = A 10.288 81.30 23840 1176 547
C2 = A 10.257 81.30 21500 1135 486

 586. 7 A J 9 6 Q 10 9 8 5 Q 8 6 A J 3 2 3 2 J 3 2 J 4 3 2 K 9 6 10 5 4 A K K 10 9 7 5 Q 10 8 5 4 K Q 8 7 7 6 4 A

H2 = A 10.300 83.28 30710 1194 684
D2 = 9 10.288 81.23 23840 1180 547
C2 = A 10.259 81.40 21970 1142 496

 587. — 9 8 7 5 A Q 7 6 4 K 10 7 5 A J 3 2 3 2 J 3 2 J 4 3 2 Q 10 8 5 A J 10 10 8 5 A Q 8 K 9 7 6 4 K Q 6 4 K 9 9 6

H2 = A 10.300 83.30 31180 1197 694
D2 = 9 10.286 81.09 23840 1180 547
C2 = A 10.259 81.43 22440 1145 506

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

H2 = A 10.305 83.44 31770 1233 708
D2 = 9 10.286 81.13 23900 1210 549
C2 = A 10.265 81.62 23090 1181 522

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

H2 = 9 10.302 83.31 31770 1233 708
D2 = A 10.286 81.16 24370 1213 559
C2 = A 10.264 81.65 23560 1184 532

 630. 5 A Q 10 6 K 9 8 7 4 8 6 5 A J 3 2 3 2 J 3 2 J 4 3 2 10 8 4 K 8 4 A 10 5 K Q 9 7 K Q 9 7 6 J 9 7 5 Q 6 A 10

H2 = 9 10.308 83.49 31890 1282 712
D2 = A 10.298 81.59 25580 1272 588
C2 = 9 10.268 81.90 23590 1226 533

 637. 10 6 Q 10 5 4 Q 6 4 A K 9 6 A J 3 2 3 2 J 3 2 J 4 3 2 Q 5 J 9 7 K 10 9 8 Q 8 7 5 K 9 8 7 4 A K 8 6 A 7 5 10

H2 = A 10.312 83.67 32450 1299 725
D2 = 9 10.298 81.63 25580 1280 588
C2 = A 10.273 82.10 24150 1243 546

 674. 5 10 9 6 5 4 K 10 9 6 A K 10 A J 3 2 3 2 J 3 2 J 4 3 2 10 4 K Q A Q 8 7 9 8 7 6 5 K Q 9 8 7 6 A J 8 7 5 4 Q

H2 = A 10.318 83.83 33130 1371 742
D2 = 9 10.306 81.75 25850 1355 597
C2 = A 10.282 82.34 24860 1318 564

 684. 6 K 7 6 5 A K 7 5 4 9 8 6 A J 3 2 3 2 J 3 2 J 4 3 2 9 7 A 10 8 Q 10 9 6 A 10 7 5 K Q 10 8 5 4 Q J 9 4 8 K Q

H2 = A 10.314 83.77 33630 1393 753
D2 = A 10.301 81.73 26320 1374 607
C2 = 9 10.278 82.16 24890 1337 565

 686. 10 7 Q 10 7 6 K Q 6 A 10 9 8 A J 3 2 3 2 J 3 2 J 4 3 2 8 J 8 5 A 10 9 4 K Q 7 6 5 K Q 9 6 5 4 A K 9 4 8 7 5 —

H2 = A 10.315 83.82 34100 1398 763
D2 = 9 10.300 81.63 26320 1376 607
C2 = A 10.278 82.22 25360 1342 575

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

H2 = B 10.335 83.77 431180 20452 9817
D2 = A 10.321 82.99 399720 20077 9191
C2 = A 10.296 82.57 367760 19417 8416

 9992. 6 9 7 6 4 A K 6 A 9 8 7 5 A J 3 2 3 2 J 3 2 J 4 3 2 8 4 Q 10 8 Q 10 9 7 4 K Q 10 K Q 10 9 7 5 A K J 5 8 5 6

H2 = C 10.335 83.77 431210 20455 9818
D2 = C 10.321 83.00 399750 20080 9192
C2 = B 10.297 82.58 367760 19417 8416

 9993. K 9 9 8 7 5 Q 6 K Q 9 8 7 A J 3 2 3 2 J 3 2 J 4 3 2 8 7 K 10 6 K 10 9 8 7 A 10 5 Q 10 6 5 4 A Q J 4 A 5 4 6

H2 = A 10.335 83.77 431680 20458 9828
D2 = 9 10.321 82.99 399750 20080 9192
C2 = A 10.297 82.58 368230 19420 8426

 9994. 10 7 A Q 9 7 10 7 4 K Q 8 5 A J 3 2 3 2 J 3 2 J 4 3 2 8 5 8 6 5 A Q 9 8 6 A 10 9 K Q 9 6 4 K J 10 4 K 5 7 6

H2 = A 10.335 83.77 431680 20460 9828
D2 = A 10.321 82.99 399750 20082 9192
C2 = A 10.296 82.58 368230 19422 8426

 9995. — K 9 8 6 4 9 7 5 4 A K 9 8 A J 3 2 3 2 J 3 2 J 4 3 2 K 7 5 Q 10 K Q 10 8 6 Q 7 6 Q 10 9 8 6 4 A J 7 5 A 10 5

H2 = C 10.335 83.77 431680 20462 9828
D2 = C 10.321 82.99 399750 20084 9192
C2 = C 10.297 82.58 368230 19424 8426

 9996. 9 8 A Q 7 6 K 10 5 Q 10 9 6 A J 3 2 3 2 J 3 2 J 4 3 2 5 4 J 8 5 A Q 8 7 K 8 7 5 K Q 10 7 6 K 10 9 4 9 6 4 A

H2 = 9 10.335 83.76 431680 20463 9828
D2 = A 10.321 82.99 400690 20088 9212
C2 = 9 10.297 82.57 368230 19425 8426

 9997. 7 9 6 5 4 10 8 5 A K Q 10 7 A J 3 2 3 2 J 3 2 J 4 3 2 6 5 4 K Q A Q 9 6 4 8 6 5 K Q 10 9 8 A J 10 8 7 K 7 9

H2 = B 10.335 83.77 431710 20466 9829
D2 = A 10.321 82.99 400690 20088 9212
C2 = B 10.297 82.57 368260 19428 8427

 9998. 6 A J 8 4 10 8 7 5 4 A 10 9 A J 3 2 3 2 J 3 2 J 4 3 2 10 9 7 K 7 6 Q 6 K 8 7 6 5 K Q 8 5 4 Q 10 9 5 A K 9 Q

H2 = A 10.335 83.77 431710 20468 9829
D2 = A 10.321 83.00 400690 20090 9212
C2 = A 10.297 82.58 368260 19430 8427

 9999. 10 7 K J 9 8 A 8 5 4 Q 7 6 A J 3 2 3 2 J 3 2 J 4 3 2 9 6 A 10 5 K Q 9 7 6 10 9 5 K Q 8 5 4 Q 7 6 4 10 A K 8

H2 = B 10.335 83.77 431710 20470 9829
D2 = B 10.321 83.00 400690 20092 9212
C2 = B 10.297 82.58 368260 19432 8427

 10000. K 5 K J 10 5 K 8 7 5 4 10 5 A J 3 2 3 2 J 3 2 J 4 3 2 10 4 9 6 4 A Q 9 6 K 9 8 6 Q 9 8 7 6 A Q 8 7 10 A Q 7

H2 = A 10.335 83.77 431710 20472 9829
D2 = A 10.321 83.00 400690 20094 9212
C2 = A 10.297 82.58 368260 19434 8427

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