Main     Stats 8H29 by Richard Pavlicek    

IMP Matches thru 4-18-18

General stats for 9,000 deals

Each table lists all possible values for each statistic (in decimal unless a bitmap, then binary) with the number of occurrences and percent for North, South, West and East. The most frequent occurrence (mode) is tinted gold, the second-most paler gold, and the third-most even paler. The bottom line shows the number of unique values (U), the total number of occurrences, and the average (mean) value.

FGCPRYQLlsssjs h d csy hy dy cysz hz dz czsq hq dq cqsx hx dx cx
The last column of each table shows the theoretical expected occurrence and percent of each value in all bridge hands. This is mathematically determined and exact.

Percents and averages are rounded to four decimal places, unless zero, which is shown as a single digit. Hence 0.0000 percent is greater than zero but simply rounds that way to the nearest 10,000th.

TopMain

Freakness = F

0  4333
1  4432
2  5332
3  4441 5422
4  5431 6322
5  6331
 6  5440 5521 6421 7222
 7  5530 6430 7321
 8  6511 7330 7411
 9  6520 7420 8221 8311
10  8320
11  6610 7510 8410 9211
12  9220 9310
13  7600 8500 9400 A110
14  A210 A300
16  B110 B200
18  C100
20  D000

ValueNorthSouthWestEastTheoretical
0922 10.2444922 10.2444931 10.3444962 10.688966905856160 10.5361
12017 22.41111971 21.90001988 22.08891957 21.7444136852887600 21.5512
21372 15.24441404 15.60001350 15.00001416 15.733398534079072 15.5168
31183 13.14441236 13.73331248 13.86671236 13.733386189672140 13.5729
41686 18.73331653 18.36671662 18.46671652 18.3556117942306768 18.5732
5337  3.7444321  3.5667293  3.2556310  3.444421896462016  3.4482
6818  9.0889879  9.7667880  9.7778856  9.511161166193660  9.6323
7354  3.9333350  3.8889365  4.0556338  3.755626049899304  4.1023
8131  1.4556139  1.5444132  1.4667124  1.37788651399328  1.3624
9143  1.588998  1.0889120  1.3333118  1.31118399095848  1.3227
108  0.08899  0.10009  0.10004  0.0444689049504  0.1085
1124  0.266716  0.177820  0.222221  0.23331548621360  0.2439
124  0.04441  0.011106  0.0667116001600  0.0183
131  0.011102  0.0222063860368  0.0101
1401  0.0111007941648  0.0013
160000231192  0.0000
1800002028  0.0000
2000004  0.0000
U = 189000  2.98509000  2.96829000  2.98369000  2.9504635013559600  2.9829

TopMain

Generic pattern = G

The 39 generic hand patterns in order of theoretical frequency

ValueNorthSouthWestEastTheoretical
 0 44322017 22.41111971 21.90001988 22.08891957 21.7444136852887600 21.5512
 1 53321372 15.24441404 15.60001350 15.00001416 15.733398534079072 15.5168
 2 54311158 12.86671159 12.87781202 13.35561128 12.533382111732560 12.9307
 3 5422924 10.2667971 10.7889987 10.9667969 10.766767182326640 10.5797
 4 4333922 10.2444922 10.2444931 10.3444962 10.688966905856160 10.5361
 5 6322528  5.8667494  5.4889460  5.1111524  5.822235830574208  5.6425
 6 6421387  4.3000412  4.5778437  4.8556400  4.444429858811840  4.7021
 7 6331337  3.7444321  3.5667293  3.2556310  3.444421896462016  3.4482
 8 5521285  3.1667309  3.4333292  3.2444279  3.100020154697992  3.1739
 9 4441259  2.8778265  2.9444261  2.9000267  2.966719007345500  2.9932
10 7321150  1.6667153  1.7000157  1.7444155  1.722211943524736  1.8808
11 6430117  1.3000116  1.2889129  1.4333113  1.25568421716160  1.3262
12 544097  1.0778113  1.2556112  1.2444130  1.44447895358900  1.2433
13 553087  0.966781  0.900079  0.877870  0.77785684658408  0.8952
14 651167  0.744467  0.744471  0.788960  0.66674478821776  0.7053
15 652063  0.700046  0.511158  0.644454  0.60004134297024  0.6511
16 722249  0.544445  0.500039  0.433347  0.52223257324928  0.5130
17 741134  0.377842  0.466738  0.422232  0.35562488234320  0.3918
18 742038  0.422231  0.344434  0.377833  0.36672296831680  0.3617
19 733030  0.333330  0.333323  0.255632  0.35561684343232  0.2652
20 822125  0.277812  0.133322  0.244419  0.21111221496848  0.1924
21 831117  0.18899  0.10006  0.066712  0.1333746470296  0.1176
22 75108  0.08898  0.088911  0.122213  0.1444689049504  0.1085
23 83208  0.08899  0.10009  0.10004  0.0444689049504  0.1085
24 661010  0.11115  0.05566  0.06673  0.0333459366336  0.0723
25 841001  0.01112  0.02224  0.0444287103960  0.0452
26 92116  0.06672  0.02221  0.01111  0.0111113101560  0.0178
27 93103  0.03331  0.011103  0.033363800880  0.0100
28 92201  0.0111003  0.033352200720  0.0082
29 7600001  0.0111035335872  0.0056
30 85001  0.011101  0.0111019876428  0.0031
31 A21001  0.0111006960096  0.0011
32 940000006134700  0.0010
33 A11100002513368  0.0004
34 A3000000981552  0.0002
35 B1100000158184  0.0000
36 B200000073008  0.0000
37 C10000002028  0.0000
38 D00000004  0.0000
U = 399000  3.71269000  3.64909000  3.65939000  3.6707635013559600  3.6954

TopMain

Controls = C

Ace = 2   King = 1

ValueNorthSouthWestEastTheoretical
0757  8.4111784  8.7111671  7.4556745  8.277851915526432  8.1755
11195 13.27781209 13.43331165 12.94441234 13.711184362730452 13.2852
21877 20.85561870 20.77781819 20.21111809 20.1000130378765244 20.5317
31856 20.62221848 20.53331923 21.36671841 20.4556132634453224 20.8869
41506 16.73331499 16.65561519 16.87781569 17.4333106275127972 16.7359
5992 11.0222993 11.0333986 10.9556939 10.433370893050800 11.1640
6504  5.6000511  5.6778554  6.1556555  6.166736155455908  5.6937
7212  2.3556204  2.2667247  2.7444235  2.611115596471176  2.4561
874  0.822268  0.755682  0.911158  0.64445192436964  0.8177
917  0.188911  0.122226  0.288912  0.13331322059596  0.2082
1010  0.11113  0.03337  0.07783  0.0333258159616  0.0407
11001  0.0111028236208  0.0044
1200001086008  0.0002
U = 139000  2.98389000  2.95799000  3.06699000  2.9914635013559600  3.0000

TopMain

High-card points = P

Ace = 4   King = 3   Queen = 2   Jack = 1

ValueNorthSouthWestEastTheoretical
029  0.322228  0.311123  0.255641  0.45562310789600  0.3639
168  0.755686  0.955662  0.688983  0.92225006710800  0.7884
2135  1.5000116  1.2889116  1.2889123  1.36678611542576  1.3561
3213  2.3667230  2.5556212  2.3556222  2.466715636342960  2.4624
4363  4.0333370  4.1111310  3.4444371  4.122224419055136  3.8454
5462  5.1333465  5.1667493  5.4778467  5.188932933031040  5.1862
6613  6.8111619  6.8778592  6.5778598  6.644441619399184  6.5541
7689  7.6556774  8.6000651  7.2333679  7.544450979441968  8.0281
8811  9.0111771  8.5667792  8.8000814  9.044456466608128  8.8922
9832  9.2444845  9.3889840  9.3333792  8.800059413313872  9.3562
10905 10.0556822  9.1333841  9.3444861  9.566759723754816  9.4051
11785  8.7222759  8.4333819  9.1000766  8.511156799933520  8.9447
12698  7.7556715  7.9444734  8.1556799  8.877850971682080  8.0269
13661  7.3444640  7.1111638  7.0889607  6.744443906944752  6.9143
14473  5.2556517  5.7444526  5.8444533  5.922236153374224  5.6933
15373  4.1444406  4.5111413  4.5889378  4.200028090962724  4.4237
16283  3.1444292  3.2444283  3.1444303  3.366721024781756  3.3109
17219  2.4333204  2.2667244  2.7111224  2.488914997082848  2.3617
18157  1.7444133  1.4778168  1.8667138  1.533310192504020  1.6051
19113  1.255691  1.011190  1.000094  1.04446579838440  1.0362
2053  0.588960  0.666776  0.844446  0.51114086538404  0.6435
2126  0.288924  0.266739  0.433335  0.38892399507844  0.3779
2223  0.255620  0.222221  0.233317  0.18891333800036  0.2100
235  0.05568  0.08899  0.10003  0.0333710603628  0.1119
247  0.07782  0.02225  0.05564  0.0444354993864  0.0559
251  0.01111  0.011101  0.0111167819892  0.0264
261  0.01112  0.02221  0.0111074095248  0.0117
271  0.011100031157940  0.0049
281  0.011102  0.0222011790760  0.0019
2900004236588  0.0007
300001  0.01111396068  0.0002
310000388196  0.0001
320000109156  0.0000
33000022360  0.0000
3400004484  0.0000
350000624  0.0000
36000060  0.0000
3700004  0.0000
U = 389000  9.97919000  9.91469000 10.14899000  9.9574635013559600 10.0000

TopMain

Revalued points = R

High-card points: +3 for each void
+2 for each singleton except K Q J (+1 for J)
+1 for each doubleton except KQ KJ QJ Qx Jx
+1 for any combination of four aces and tens

ValueNorthSouthWestEastTheoretical
05  0.05566  0.066704  0.0444293805568  0.0463
123  0.255623  0.255621  0.233336  0.40001766279872  0.2781
256  0.622261  0.677870  0.777868  0.75564460756944  0.7025
3128  1.4222121  1.3444100  1.1111125  1.38898243807120  1.2982
4219  2.4333207  2.3000170  1.8889204  2.266713933491492  2.1942
5294  3.2667325  3.6111301  3.3444300  3.333321764214176  3.4274
6409  4.5444442  4.9111439  4.8778458  5.088930423163944  4.7909
7558  6.2000565  6.2778518  5.7556547  6.077838944701748  6.1329
8692  7.6889711  7.9000638  7.0889675  7.500047115157372  7.4196
9745  8.2778769  8.5444754  8.3778738  8.200053631235236  8.4457
10846  9.4000829  9.2111808  8.9778798  8.866757295091856  9.0227
11855  9.5000789  8.7667797  8.8556771  8.566758143902808  9.1563
12752  8.3556777  8.6333823  9.1444845  9.388956245617636  8.8574
13728  8.0889715  7.9444778  8.6444697  7.744451805296432  8.1581
14677  7.5222628  6.9778626  6.9556678  7.533345528936116  7.1698
15522  5.8000552  6.1333537  5.9667559  6.211138297308552  6.0309
16409  4.5444444  4.9333452  5.0222430  4.777830847863460  4.8578
17343  3.8111328  3.6444345  3.8333341  3.788923818563824  3.7509
18227  2.5222241  2.6778280  3.1111242  2.688917638216924  2.7776
19191  2.1222175  1.9444192  2.1333186  2.066712512959412  1.9705
20132  1.4667102  1.1333124  1.3778131  1.45568546506844  1.3459
2175  0.833386  0.955691  1.011167  0.74445599172640  0.8817
2250  0.555638  0.422258  0.644448  0.53333509161412  0.5526
2328  0.311136  0.400032  0.355624  0.26672112451680  0.3327
2416  0.177812  0.133325  0.277817  0.18891215549644  0.1914
2511  0.122212  0.133310  0.11117  0.0778665258884  0.1048
263  0.03333  0.03336  0.06672  0.0222346309380  0.0545
273  0.03331  0.01113  0.03331  0.0111171594884  0.0270
282  0.02221  0.01110079694360  0.0126
291  0.011101  0.0111035006360  0.0055
3001  0.01111  0.0111014392632  0.0023
310001  0.01115429168  0.0009
3200001895604  0.0003
330000574548  0.0001
340000153448  0.0000
35000031924  0.0000
3600005172  0.0000
370000508  0.0000
38000016  0.0000
U = 399000 11.34219000 11.27129000 11.53189000 11.3240635013559600 11.3682

TopMain

Playing half-tricks = Y

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each card over three in any suit   Refinements

ValueNorthSouthWestEastTheoretical
215  0.166720  0.222212  0.133318  0.20001022787584  0.1611
325  0.277817  0.188924  0.266718  0.20001834835968  0.2889
4114  1.2667112  1.2444123  1.3667129  1.43338288385280  1.3052
5218  2.4222187  2.0778193  2.1444220  2.444413587961408  2.1398
6374  4.1556439  4.8778387  4.3000439  4.877829907404912  4.7097
7612  6.8000607  6.7444585  6.5000560  6.222241453445520  6.5280
8886  9.8444885  9.8333810  9.0000870  9.666761513033480  9.6869
91039 11.54441059 11.76671015 11.27781024 11.377870986532496 11.1787
101077 11.96671150 12.77781080 12.00001140 12.666780169517920 12.6249
111135 12.61111105 12.27781093 12.14441135 12.611177238005980 12.1632
121017 11.3000986 10.95561067 11.8556969 10.766770723648784 11.1373
13801  8.9000782  8.6889822  9.1333789  8.766757473116632  9.0507
14630  7.0000612  6.8000670  7.4444633  7.033344455847496  7.0008
15410  4.5556424  4.7111394  4.3778427  4.744430812461108  4.8523
16303  3.3667277  3.0778326  3.6222293  3.255620488020544  3.2264
17166  1.8444157  1.7444192  2.1333174  1.933312080979332  1.9025
1891  1.011198  1.0889116  1.288982  0.91116865130592  1.0811
1953  0.588945  0.500055  0.611143  0.47783412850548  0.5374
2021  0.233320  0.222227  0.300023  0.25561635279380  0.2575
219  0.100011  0.12225  0.05569  0.1000673249156  0.1060
224  0.04444  0.04442  0.02224  0.0444269155616  0.0424
23001  0.01111  0.011186893416  0.0137
2403  0.03331  0.0111027926304  0.0044
2500005652256  0.0009
2600001437888  0.0002
U = 259000 10.71919000 10.67339000 10.83749000 10.6858635013559600 10.7371

TopMain

Quick half-tricks = Q

AK = 4   AQ = 3   A = 2   KQ = 2   K = 1   Refinements

ValueNorthSouthWestEastTheoretical
0791  8.7889817  9.0778708  7.8667778  8.644454389790360  8.5651
1870  9.6667887  9.8556837  9.3000904 10.044461602628572  9.7010
21664 18.48891628 18.08891621 18.01111593 17.7000113660108928 17.8988
31359 15.10001361 15.12221343 14.92221330 14.777896416902372 15.1834
41531 17.01111527 16.96671551 17.23331560 17.3333111050090784 17.4878
51017 11.30001061 11.78891037 11.52221063 11.811172935403696 11.4856
6841  9.3444846  9.4000902 10.0222839  9.322259887556392  9.4309
7428  4.7556429  4.7667471  5.2333436  4.844431112636760  4.8995
8293  3.2556276  3.0667304  3.3778322  3.577820067427740  3.1602
9126  1.400099  1.1000128  1.4222105  1.16677980162216  1.2567
1050  0.555652  0.577867  0.744457  0.63334055992444  0.6387
1116  0.177813  0.144417  0.18898  0.08891214000280  0.1912
1210  0.11113  0.033312  0.13332  0.0222502896536  0.0792
132  0.02221  0.01111  0.01112  0.022299889520  0.0157
142  0.022201  0.01111  0.011133145000  0.0052
1500003843840  0.0006
1600001084160  0.0002
U = 179000  3.53939000  3.50329000  3.64649000  3.5516635013559600  3.5563

TopMain

Losing trick count = L

0  AKQ AK A void
1  AKx AQx KQx Ax Kx x
 2  Axx Kxx Qxx xx
 3  Jxx or worse

ValueNorthSouthWestEastTheoretical
000001611768  0.0003
103  0.03331  0.0111039329036  0.0062
26  0.06677  0.07783  0.03334  0.0444454375244  0.0716
345  0.500041  0.455651  0.566736  0.40003126502788  0.4924
4205  2.2778180  2.0000208  2.3111190  2.111114069567832  2.2156
5620  6.8889598  6.6444666  7.4000638  7.088943541225304  6.8567
61342 14.91111315 14.61111396 15.51111292 14.355694901190408 14.9448
72032 22.57781994 22.15562107 23.41112050 22.7778145807470468 22.9613
82207 24.52222291 25.45562122 23.57782262 25.1333155515164912 24.4901
91633 18.14441648 18.31111546 17.17781570 17.4444111719209440 17.5932
10684  7.6000715  7.9444696  7.7333729  8.100051111464400  8.0489
11206  2.2889186  2.0667188  2.0889207  2.300013274928000  2.0905
1220  0.222222  0.244416  0.177822  0.24441451520000  0.2286
U = 139000  7.56029000  7.59099000  7.50639000  7.5806635013559600  7.5566

TopMain

Longest suit = ls

Number of cards in longest suit

ValueNorthSouthWestEastTheoretical
43198 35.53333158 35.08893180 35.33333186 35.4000222766089260 35.0805
53923 43.58894037 44.85564022 44.68893992 44.3556281562853572 44.3397
61509 16.76671461 16.23331454 16.15561464 16.2667105080049360 16.5477
7309  3.4333309  3.4333303  3.3667312  3.466722394644272  3.5266
851  0.566731  0.344440  0.444439  0.43332963997036  0.4668
910  0.11113  0.03331  0.01117  0.0778235237860  0.0370
1001  0.01110010455016  0.0016
110000231192  0.0000
1200002028  0.0000
1300004  0.0000
U = 109000  4.90249000  4.89239000  4.88939000  4.8941635013559600  4.9008

TopMain

Shortest suit = ss

Number of cards in shortest suit

ValueNorthSouthWestEastTheoretical
0463  5.1444442  4.9111465  5.1667462  5.133332427298180  5.1066
12725 30.27782751 30.56672780 30.88892663 29.5889194023212812 30.5542
24890 54.33334885 54.27784824 53.60004913 54.5889341657192448 53.8031
3922 10.2444922 10.2444931 10.3444962 10.688966905856160 10.5361
U = 49000  1.69689000  1.69869000  1.69129000  1.7083635013559600  1.6977

TopMain

Rank sum = j

Ace = 14   King = 13   Queen = 12   Jack = 11   Ten = 10  ...  Two = 2

ValueNorthSouthWestEastTheoretical
4100004  0.0000
42000028  0.0000
430000116  0.0000
440000392  0.0000
4500001132  0.0000
4600002928  0.0000
4700006916  0.0000
48000015308  0.0000
49000031884  0.0000
50000063344  0.0000
510000120504  0.0000
520000221128  0.0000
530000392460  0.0001
540000676704  0.0001
5500001135720  0.0002
5600001860884  0.0003
5700002980992  0.0005
5800004678132  0.0007
5900007200352  0.0011
60000010885276  0.0017
61000016177656  0.0025
620001  0.011123662872  0.0037
631  0.011100034088292  0.0054
64000048406056  0.0076
651  0.011101  0.0111067796512  0.0107
6602  0.02221  0.01113  0.033393717520  0.0148
673  0.033303  0.03334  0.0444127923728  0.0201
681  0.01112  0.02223  0.03331  0.0111172518652  0.0272
696  0.06672  0.02222  0.02225  0.0556229959256  0.0362
705  0.05564  0.04442  0.02223  0.0333303102568  0.0477
714  0.04444  0.044405  0.0556395185876  0.0622
7214  0.15567  0.07789  0.10004  0.0444509855124  0.0803
737  0.07789  0.100012  0.13338  0.0889651106144  0.1025
7410  0.111115  0.166710  0.111110  0.1111823287808  0.1296
7517  0.188918  0.200012  0.133318  0.20001030988200  0.1624
7625  0.277825  0.277822  0.244415  0.16671279004300  0.2014
7727  0.300017  0.188918  0.200025  0.27781572168200  0.2476
7830  0.333332  0.355622  0.244431  0.34441915276928  0.3016
7921  0.233331  0.344428  0.311132  0.35562312858508  0.3642
8032  0.355644  0.488944  0.488932  0.35562769074104  0.4361
8143  0.477851  0.566749  0.544443  0.47783287427876  0.5177
8261  0.677862  0.688944  0.488960  0.66673870662368  0.6095
8362  0.688960  0.666770  0.777860  0.66674520438996  0.7119
8468  0.755672  0.800076  0.844487  0.96675237248656  0.8247
8581  0.900070  0.777879  0.877869  0.76676020098480  0.9480
8699  1.100093  1.033388  0.977899  1.10006866482488  1.0813
87132  1.4667134  1.488997  1.0778107  1.18897772102604  1.2239
88132  1.4667125  1.3889124  1.3778132  1.46678730942544  1.3749
89130  1.4444130  1.4444121  1.3444135  1.50009735066676  1.5330
90170  1.8889136  1.5111164  1.8222156  1.733310774819856  1.6968
91171  1.9000195  2.1667162  1.8000168  1.866711838737216  1.8643
92195  2.1667198  2.2000176  1.9556193  2.144412913893708  2.0336
93183  2.0333215  2.3889195  2.1667217  2.411113985920668  2.2025
94221  2.4556178  1.9778198  2.2000212  2.355615039510420  2.3684
95214  2.3778255  2.8333234  2.6000227  2.522216058532536  2.5288
96228  2.5333237  2.6333227  2.5222232  2.577817026650064  2.6813
97268  2.9778240  2.6667263  2.9222250  2.777817927508472  2.8232
98234  2.6000301  3.3444268  2.9778249  2.766718745417740  2.9520
99271  3.0111298  3.3111300  3.3333296  3.288919465543056  3.0654
100278  3.0889296  3.2889296  3.2889273  3.033320074598356  3.1613
101296  3.2889282  3.1333287  3.1889264  2.933320560978696  3.2379
102294  3.2667305  3.3889303  3.3667296  3.288920915379072  3.2937
103303  3.3667329  3.6556290  3.2222292  3.244421130820080  3.3276
104308  3.4222252  2.8000291  3.2333322  3.577821203133328  3.3390
105309  3.4333297  3.3000290  3.2222300  3.333321130820080  3.3276
106255  2.8333314  3.4889279  3.1000292  3.244420915379072  3.2937
107311  3.4556288  3.2000294  3.2667307  3.411120560978696  3.2379
108274  3.0444264  2.9333279  3.1000255  2.833320074598356  3.1613
109267  2.9667270  3.0000293  3.2556308  3.422219465543056  3.0654
110293  3.2556239  2.6556261  2.9000260  2.888918745417740  2.9520
111258  2.8667259  2.8778268  2.9778239  2.655617927508472  2.8232
112226  2.5111238  2.6444265  2.9444243  2.700017026650064  2.6813
113227  2.5222212  2.3556202  2.2444258  2.866716058532536  2.5288
114215  2.3889237  2.6333208  2.3111241  2.677815039510420  2.3684
115200  2.2222191  2.1222199  2.2111199  2.211113985920668  2.2025
116198  2.2000197  2.1889195  2.1667165  1.833312913893708  2.0336
117172  1.9111168  1.8667171  1.9000183  2.033311838737216  1.8643
118162  1.8000156  1.7333160  1.7778159  1.766710774819856  1.6968
119135  1.5000129  1.4333149  1.6556152  1.68899735066676  1.5330
120127  1.4111101  1.1222127  1.4111124  1.37788730942544  1.3749
121104  1.155695  1.0556100  1.1111112  1.24447772102604  1.2239
122109  1.211196  1.0667117  1.300091  1.01116866482488  1.0813
12384  0.933387  0.966791  1.011186  0.95566020098480  0.9480
12477  0.855676  0.844479  0.877876  0.84445237248656  0.8247
12556  0.622264  0.711164  0.711150  0.55564520438996  0.7119
12652  0.577853  0.588953  0.588948  0.53333870662368  0.6095
12748  0.533344  0.488950  0.555634  0.37783287427876  0.5177
12837  0.411142  0.466740  0.444434  0.37782769074104  0.4361
12923  0.255624  0.266737  0.411130  0.33332312858508  0.3642
13026  0.288935  0.388929  0.322218  0.20001915276928  0.3016
13128  0.311120  0.222221  0.233316  0.17781572168200  0.2476
13224  0.266724  0.266723  0.255623  0.25561279004300  0.2014
13310  0.111119  0.211119  0.21117  0.07781030988200  0.1624
13410  0.11117  0.077812  0.133317  0.1889823287808  0.1296
1356  0.06676  0.06679  0.10008  0.0889651106144  0.1025
1362  0.02227  0.077810  0.111110  0.1111509855124  0.0803
13710  0.11114  0.04444  0.04442  0.0222395185876  0.0622
1386  0.06672  0.02221  0.01113  0.0333303102568  0.0477
1395  0.05562  0.02221  0.01115  0.0556229959256  0.0362
1404  0.044403  0.03336  0.0667172518652  0.0272
1412  0.02223  0.03332  0.02221  0.0111127923728  0.0201
1421  0.01112  0.02223  0.0333093717520  0.0148
14301  0.011101  0.011167796512  0.0107
14401  0.01111  0.0111048406056  0.0076
1451  0.011100034088292  0.0054
146000023662872  0.0037
147000016177656  0.0025
1480001  0.011110885276  0.0017
14900007200352  0.0011
15000004678132  0.0007
15100002980992  0.0005
15200001860884  0.0003
15300001135720  0.0002
1540000676704  0.0001
1550000392460  0.0001
1560000221128  0.0000
1570000120504  0.0000
158000063344  0.0000
159000031884  0.0000
160000015308  0.0000
16100006916  0.0000
16200002928  0.0000
16300001132  0.0000
1640000392  0.0000
1650000116  0.0000
166000028  0.0000
16700004  0.0000
U = 1279000 103.98089000 103.79289000 104.27349000 103.9530635013559600 104.0000

TopMain

Spade length = s

Number of spades in hand

ValueNorthSouthWestEastTheoretical
098  1.0889109  1.2111129  1.4333101  1.12228122425444  1.2791
1704  7.8222719  7.9889731  8.1222731  8.122250840366668  8.0062
21824 20.26671882 20.91111795 19.94441864 20.7111130732371432 20.5873
32542 28.24442670 29.66672530 28.11112587 28.7444181823183256 28.6330
42236 24.84442088 23.20002250 25.00002193 24.3667151519319380 23.8608
51110 12.33331090 12.11111107 12.30001065 11.833379181063676 12.4692
6392  4.3556355  3.9444378  4.2000370  4.111126393687892  4.1564
780  0.888980  0.888964  0.711181  0.90005598661068  0.8817
811  0.12225  0.055616  0.17788  0.0889740999259  0.1167
93  0.03332  0.02220058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 149000  3.27779000  3.22709000  3.25449000  3.2409635013559600  3.2500

TopMain

Heart length = h

Number of hearts in hand

ValueNorthSouthWestEastTheoretical
0119  1.3222106  1.1778129  1.4333124  1.37788122425444  1.2791
1755  8.3889710  7.8889752  8.3556686  7.622250840366668  8.0062
21851 20.56671843 20.47781927 21.41111839 20.4333130732371432 20.5873
32614 29.04442562 28.46672461 27.34442571 28.5667181823183256 28.6330
42125 23.61112131 23.67782137 23.74442138 23.7556151519319380 23.8608
51062 11.80001168 12.97781141 12.67781162 12.911179181063676 12.4692
6379  4.2111381  4.2333352  3.9111388  4.311126393687892  4.1564
781  0.900089  0.988992  1.022277  0.85565598661068  0.8817
813  0.14449  0.10008  0.088912  0.1333740999259  0.1167
91  0.011101  0.01113  0.033358809465  0.0093
1001  0.0111002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 149000  3.22929000  3.27089000  3.23019000  3.2699635013559600  3.2500

TopMain

Diamond length = d

Number of diamonds in hand

ValueNorthSouthWestEastTheoretical
0119  1.3222110  1.2222103  1.1444123  1.36678122425444  1.2791
1709  7.8778717  7.9667702  7.8000688  7.644450840366668  8.0062
21869 20.76671834 20.37781832 20.35561913 21.2556130732371432 20.5873
32631 29.23332497 27.74442565 28.50002650 29.4444181823183256 28.6330
42112 23.46672197 24.41112169 24.10002106 23.4000151519319380 23.8608
51132 12.57781177 13.07781179 13.10001096 12.177879181063676 12.4692
6337  3.7444384  4.2667369  4.1000353  3.922226393687892  4.1564
773  0.811175  0.833370  0.777859  0.65565598661068  0.8817
816  0.17788  0.088911  0.12229  0.1000740999259  0.1167
92  0.02221  0.011103  0.033358809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 149000  3.23639000  3.27239000  3.26939000  3.2220635013559600  3.2500

TopMain

Club length = c

Number of clubs in hand

ValueNorthSouthWestEastTheoretical
0128  1.4222117  1.3000106  1.1778114  1.26678122425444  1.2791
1702  7.8000741  8.2333730  8.1111686  7.622250840366668  8.0062
21885 20.94441868 20.75561827 20.30001854 20.6000130732371432 20.5873
32542 28.24442540 28.22222599 28.87782560 28.4444181823183256 28.6330
42112 23.46672201 24.45562187 24.30002179 24.2111151519319380 23.8608
51130 12.55561113 12.36671107 12.30001145 12.722279181063676 12.4692
6411  4.5667346  3.8444362  4.0222356  3.955626393687892  4.1564
775  0.833365  0.722277  0.855695  1.05565598661068  0.8817
811  0.12229  0.10005  0.055610  0.1111740999259  0.1167
94  0.0444001  0.011158809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 149000  3.25689000  3.22999000  3.24619000  3.2672635013559600  3.2500

TopMain

Spade playing half-tricks = sy

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each spade over three     Refinements

ValueNorthSouthWestEastTheoretical
02731 30.34442885 32.05562705 30.05562826 31.4000197767203572 31.1438
1886  9.8444922 10.2444912 10.1333886  9.844463728659696 10.0358
21649 18.32221637 18.18891670 18.55561718 19.0889117497308188 18.5031
3639  7.1000652  7.2444654  7.2667619  6.877844251732564  6.9686
41046 11.6222985 10.94441003 11.1444995 11.055669892220632 11.0064
5513  5.7000470  5.2222517  5.7444492  5.466735355647184  5.5677
6584  6.4889538  5.9778567  6.3000507  5.633338137887788  6.0058
7291  3.2333319  3.5444334  3.7111339  3.766722333120524  3.5170
8241  2.6778238  2.6444277  3.0778246  2.733318324133672  2.8856
9167  1.8556133  1.4778153  1.7000165  1.833310700471262  1.6851
10125  1.388999  1.100085  0.944494  1.04448001815952  1.2601
1151  0.566755  0.611145  0.500044  0.48893827056779  0.6027
1241  0.455629  0.322245  0.500040  0.44442981489082  0.4695
1313  0.144415  0.16677  0.077812  0.1333911999088  0.1436
1415  0.166718  0.200018  0.200014  0.1556907310781  0.1429
154  0.04442  0.02222  0.02222  0.0222194194611  0.0306
163  0.03331  0.01116  0.06671  0.0111158762708  0.0250
171  0.01111  0.01110012840295  0.0020
1801  0.01110027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 249000  2.73669000  2.60839000  2.72209000  2.6432635013559600  2.6843

TopMain

Heart playing half-tricks = hy

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each heart over three     Refinements

ValueNorthSouthWestEastTheoretical
02838 31.53332746 30.51112803 31.14442797 31.0778197767203572 31.1438
1879  9.7667915 10.1667888  9.8667908 10.088963728659696 10.0358
21726 19.17781647 18.30001689 18.76671615 17.9444117497308188 18.5031
3686  7.6222639  7.1000606  6.7333648  7.200044251732564  6.9686
4956 10.62221023 11.3667990 11.0000969 10.766769892220632 11.0064
5498  5.5333511  5.6778491  5.4556507  5.633335355647184  5.5677
6485  5.3889528  5.8667530  5.8889548  6.088938137887788  6.0058
7296  3.2889351  3.9000326  3.6222334  3.711122333120524  3.5170
8243  2.7000252  2.8000262  2.9111265  2.944418324133672  2.8856
9148  1.6444150  1.6667174  1.9333176  1.955610700471262  1.6851
10105  1.1667107  1.1889111  1.2333109  1.21118001815952  1.2601
1161  0.677850  0.555656  0.622252  0.57783827056779  0.6027
1245  0.500045  0.500039  0.433340  0.44442981489082  0.4695
1316  0.177819  0.211117  0.188917  0.1889911999088  0.1436
1413  0.144413  0.144414  0.155610  0.1111907310781  0.1429
151  0.01111  0.01113  0.03332  0.0222194194611  0.0306
164  0.04442  0.022200158762708  0.0250
17001  0.01111  0.011112840295  0.0020
180002  0.022227645475  0.0044
190000493506  0.0001
2001  0.0111001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 249000  2.63239000  2.71339000  2.69969000  2.7121635013559600  2.6843

TopMain

Diamond playing half-tricks = dy

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each diamond over three     Refinements

ValueNorthSouthWestEastTheoretical
02818 31.31112777 30.85562665 29.61112858 31.7556197767203572 31.1438
1936 10.4000851  9.4556945 10.5000913 10.144463728659696 10.0358
21670 18.55561689 18.76671652 18.35561699 18.8778117497308188 18.5031
3644  7.1556617  6.8556659  7.3222622  6.911144251732564  6.9686
4970 10.77781019 11.32221015 11.2778933 10.366769892220632 11.0064
5510  5.6667512  5.6889499  5.5444519  5.766735355647184  5.5677
6518  5.7556543  6.0333544  6.0444513  5.700038137887788  6.0058
7310  3.4444346  3.8444356  3.9556351  3.900022333120524  3.5170
8242  2.6889268  2.9778284  3.1556267  2.966718324133672  2.8856
9150  1.6667144  1.6000152  1.6889116  1.288910700471262  1.6851
10119  1.3222118  1.3111111  1.233399  1.10008001815952  1.2601
1141  0.455643  0.477852  0.577851  0.56673827056779  0.6027
1235  0.388946  0.511138  0.422230  0.33332981489082  0.4695
1315  0.166713  0.144414  0.155610  0.1111911999088  0.1436
1413  0.14448  0.088911  0.122213  0.1444907310781  0.1429
154  0.04443  0.03332  0.02221  0.0111194194611  0.0306
163  0.03332  0.02221  0.01112  0.0222158762708  0.0250
171  0.011100012840295  0.0020
181  0.01111  0.011103  0.033327645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 249000  2.64269000  2.71309000  2.74419000  2.6159635013559600  2.6843

TopMain

Club playing half-tricks = cy

1  K Qx Kx JTx Qxx
2  A KJ KQ Ax QJx Kxx Axx
3  AJ AQ KJT KQx AJx AQx
  4  AK KQJ AQT AKx
  5  AQJ AKJ
  6  AKQ
+2 for each club over three     Refinements

ValueNorthSouthWestEastTheoretical
02826 31.40002853 31.70002834 31.48892767 30.7444197767203572 31.1438
1894  9.9333929 10.3222854  9.4889887  9.855663728659696 10.0358
21621 18.01111604 17.82221635 18.16671677 18.6333117497308188 18.5031
3617  6.8556575  6.3889652  7.2444635  7.055644251732564  6.9686
4976 10.84441075 11.94441018 11.31111009 11.211169892220632 11.0064
5526  5.8444500  5.5556559  6.2111523  5.811135355647184  5.5677
6562  6.2444545  6.0556512  5.6889520  5.777838137887788  6.0058
7304  3.3778312  3.4667284  3.1556300  3.333322333120524  3.5170
8269  2.9889253  2.8111263  2.9222255  2.833318324133672  2.8856
9149  1.6556134  1.4889167  1.8556162  1.800010700471262  1.6851
10118  1.3111124  1.3778106  1.1778132  1.46678001815952  1.2601
1161  0.677836  0.400061  0.677858  0.64443827056779  0.6027
1241  0.455635  0.388930  0.333343  0.47782981489082  0.4695
1311  0.122210  0.111113  0.144413  0.1444911999088  0.1436
1414  0.155611  0.12229  0.100015  0.1667907310781  0.1429
155  0.05562  0.02222  0.02222  0.0222194194611  0.0306
165  0.05562  0.02221  0.01111  0.0111158762708  0.0250
170001  0.011112840295  0.0020
181  0.011100027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 249000  2.70779000  2.63879000  2.67189000  2.7146635013559600  2.6843

TopMain

Spade control map = sz

Spade stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

ValueNorthSouthWestEastTheoretical
00000970 10.77781041 11.5667921 10.23331016 11.288968236672504 10.7457
000011016 11.28891077 11.9667996 11.06671073 11.922275422521980 11.8773
00011595  6.6111613  6.8111619  6.8778612  6.800043018771796  6.7745
0011198  1.0889109  1.2111129  1.4333101  1.12228122425444  1.2791
01000545  6.0556539  5.9889557  6.1889567  6.300038199411536  6.0155
01001245  2.7222240  2.6667243  2.7000228  2.533316760560440  2.6394
0101149  0.544454  0.600060  0.666750  0.55563910797436  0.6159
10000491  5.4556475  5.2778474  5.2667479  5.322233507777940  5.2767
10001993 11.03331022 11.3556992 11.02221003 11.144471592376960 11.2741
100101006 11.1778939 10.43331054 11.7111999 11.100071592376960 11.2741
10011685  7.6111687  7.6333666  7.4000672  7.466745896476704  7.2276
101001031 11.45561030 11.44441023 11.36671002 11.133371592376960 11.2741
10101654  7.2667646  7.1778665  7.3889637  7.077845896476704  7.2276
10110416  4.6222342  3.8000393  4.3667367  4.077827459860220  4.3243
10111206  2.2889186  2.0667208  2.3111194  2.155613804676016  2.1739
U = 159000 12.74399000 12.40479000 12.77649000 12.4636635013559600 12.5855

TopMain

Heart control map = hz

Heart stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

ValueNorthSouthWestEastTheoretical
00000959 10.6556962 10.6889948 10.5333982 10.911168236672504 10.7457
000011054 11.71111050 11.66671082 12.02221082 12.022275422521980 11.8773
00011641  7.1222584  6.4889629  6.9889576  6.400043018771796  6.7745
00111119  1.3222106  1.1778129  1.4333124  1.37788122425444  1.2791
01000561  6.2333554  6.1556545  6.0556510  5.666738199411536  6.0155
01001235  2.6111225  2.5000235  2.6111245  2.722216760560440  2.6394
0101166  0.733367  0.744461  0.677857  0.63333910797436  0.6159
10000501  5.5667497  5.5222441  4.9000493  5.477833507777940  5.2767
100011040 11.55561022 11.3556944 10.48891018 11.311171592376960 11.2741
100101012 11.2444997 11.0778998 11.08891020 11.333371592376960 11.2741
10011649  7.2111646  7.1778680  7.5556654  7.266745896476704  7.2276
10100952 10.57781043 11.5889979 10.87781003 11.144471592376960 11.2741
10101662  7.3556675  7.5000709  7.8778662  7.355645896476704  7.2276
10110363  4.0333384  4.2667417  4.6333400  4.444427459860220  4.3243
10111186  2.0667188  2.0889203  2.2556174  1.933313804676016  2.1739
U = 159000 12.50989000 12.67689000 12.59099000 12.5927635013559600 12.5855

TopMain

Diamond control map = dz

Diamond stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

ValueNorthSouthWestEastTheoretical
00000927 10.3000958 10.6444916 10.17781017 11.300068236672504 10.7457
000011075 11.94441092 12.13331018 11.31111089 12.100075422521980 11.8773
00011613  6.8111594  6.6000597  6.6333597  6.633343018771796  6.7745
00111119  1.3222110  1.2222103  1.1444123  1.36678122425444  1.2791
01000551  6.1222553  6.1444549  6.1000507  5.633338199411536  6.0155
01001263  2.9222226  2.5111255  2.8333243  2.700016760560440  2.6394
0101147  0.522255  0.611151  0.566749  0.54443910797436  0.6159
10000483  5.3667527  5.8556440  4.8889473  5.255633507777940  5.2767
100011012 11.24441058 11.75561030 11.44441003 11.144471592376960 11.2741
100101071 11.9000978 10.86671030 11.4444990 11.000071592376960 11.2741
10011654  7.2667621  6.9000650  7.2222683  7.588945896476704  7.2276
101001001 11.1222980 10.88891081 12.01111020 11.333371592376960 11.2741
10101637  7.0778630  7.0000663  7.3667654  7.266745896476704  7.2276
10110358  3.9778409  4.5444412  4.5778395  4.388927459860220  4.3243
10111189  2.1000209  2.3222205  2.2778157  1.744413804676016  2.1739
U = 159000 12.58839000 12.57379000 12.83789000 12.4860635013559600 12.5855

TopMain

Club control map = cz

Club stopper = 16   Half-stopper = 8   1st rd control = 4   2nd rd control = 2   3rd rd control = 1

ValueNorthSouthWestEastTheoretical
00000967 10.7444966 10.73331038 11.5333970 10.777868236672504 10.7457
000011084 12.04441061 11.78891020 11.33331070 11.888975422521980 11.8773
00011599  6.6556644  7.1556621  6.9000576  6.400043018771796  6.7745
00111128  1.4222117  1.3000106  1.1778114  1.26678122425444  1.2791
01000512  5.6889559  6.2111548  6.0889533  5.922238199411536  6.0155
01001254  2.8222244  2.7111235  2.6111239  2.655616760560440  2.6394
0101155  0.611153  0.588949  0.544449  0.54443910797436  0.6159
10000508  5.6444476  5.2889446  4.9556479  5.322233507777940  5.2767
100011006 11.17781002 11.13331019 11.32221026 11.400071592376960 11.2741
100101014 11.26671082 12.02221011 11.2333951 10.566771592376960 11.2741
10011624  6.9333648  7.2000658  7.3111639  7.100045896476704  7.2276
10100981 10.9000954 10.6000968 10.75561072 11.911171592376960 11.2741
10101667  7.4111635  7.0556671  7.4556672  7.466745896476704  7.2276
10110417  4.6333379  4.2111412  4.5778411  4.566727459860220  4.3243
10111184  2.0444180  2.0000198  2.2000199  2.211113804676016  2.1739
U = 159000 12.57069000 12.48829000 12.54349000 12.6762635013559600 12.5855

TopMain

Spade quality map = sq

Spade Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
00000001021 11.34441033 11.47781003 11.14441053 11.700073006209045 11.4968
0000001409  4.5444390  4.3333399  4.4333398  4.422228760021745  4.5290
0000010383  4.2556448  4.9778376  4.1778433  4.811128760021745  4.5290
0000011140  1.5556167  1.8556138  1.5333149  1.655610150595910  1.5985
0000100420  4.6667433  4.8111445  4.9444421  4.677828760021745  4.5290
0000101128  1.4222141  1.5667124  1.3778153  1.700010150595910  1.5985
0000110140  1.5556128  1.4222127  1.4111184  2.044410150595910  1.5985
000011154  0.600051  0.566744  0.488936  0.40003190187286  0.5024
0001000411  4.5667427  4.7444400  4.4444373  4.144428760021745  4.5290
0001001147  1.6333150  1.6667144  1.6000140  1.555610150595910  1.5985
0001010132  1.4667139  1.5444160  1.7778144  1.600010150595910  1.5985
000101152  0.577852  0.577848  0.533335  0.38893190187286  0.5024
0001100137  1.5222134  1.4889130  1.4444158  1.755610150595910  1.5985
000110145  0.500046  0.511144  0.488955  0.61113190187286  0.5024
000111050  0.555645  0.500043  0.477841  0.45563190187286  0.5024
00011119  0.100010  0.11116  0.066717  0.1889886163135  0.1396
0010000383  4.2556418  4.6444419  4.6556401  4.455628760021745  4.5290
0010001163  1.8111129  1.4333148  1.6444130  1.444410150595910  1.5985
0010010140  1.5556158  1.7556151  1.6778145  1.611110150595910  1.5985
001001138  0.422242  0.466746  0.511145  0.50003190187286  0.5024
0010100129  1.4333135  1.5000130  1.4444141  1.566710150595910  1.5985
001010145  0.500051  0.566743  0.477842  0.46673190187286  0.5024
001011045  0.500041  0.455654  0.600050  0.55563190187286  0.5024
001011114  0.155613  0.144417  0.18895  0.0556886163135  0.1396
0011000160  1.7778150  1.6667132  1.4667146  1.622210150595910  1.5985
001100140  0.444447  0.522235  0.388954  0.60003190187286  0.5024
001101037  0.411146  0.511145  0.500040  0.44443190187286  0.5024
001101115  0.166711  0.12224  0.044415  0.1667886163135  0.1396
001110043  0.477852  0.577853  0.588947  0.52223190187286  0.5024
00111019  0.100013  0.144411  0.122214  0.1556886163135  0.1396
001111012  0.133313  0.144410  0.111111  0.1222886163135  0.1396
00111112  0.02223  0.03332  0.02223  0.0333215553195  0.0339
0100000393  4.3667395  4.3889414  4.6000395  4.388928760021745  4.5290
0100001129  1.4333153  1.7000152  1.6889147  1.633310150595910  1.5985
0100010167  1.8556127  1.4111165  1.8333133  1.477810150595910  1.5985
010001156  0.622241  0.455645  0.500047  0.52223190187286  0.5024
0100100139  1.5444138  1.5333137  1.5222133  1.477810150595910  1.5985
010010141  0.455641  0.455649  0.544442  0.46673190187286  0.5024
010011054  0.600040  0.444431  0.344448  0.53333190187286  0.5024
010011116  0.177812  0.133313  0.14448  0.0889886163135  0.1396
0101000135  1.5000147  1.6333143  1.5889149  1.655610150595910  1.5985
010100146  0.511146  0.511159  0.655649  0.54443190187286  0.5024
010101054  0.600030  0.333347  0.522240  0.44443190187286  0.5024
010101110  0.111117  0.188913  0.144410  0.1111886163135  0.1396
010110036  0.400038  0.422254  0.600049  0.54443190187286  0.5024
010110112  0.133312  0.133314  0.155614  0.1556886163135  0.1396
01011109  0.100013  0.144410  0.111114  0.1556886163135  0.1396
01011115  0.05562  0.02226  0.06671  0.0111215553195  0.0339
0110000150  1.6667160  1.7778138  1.5333153  1.700010150595910  1.5985
011000155  0.611150  0.555650  0.555641  0.45563190187286  0.5024
011001043  0.477846  0.511148  0.533359  0.65563190187286  0.5024
01100117  0.077813  0.144417  0.188913  0.1444886163135  0.1396
011010051  0.566740  0.444446  0.511159  0.65563190187286  0.5024
011010112  0.13337  0.07785  0.055617  0.1889886163135  0.1396
011011014  0.155617  0.188916  0.177812  0.1333886163135  0.1396
01101114  0.04442  0.02222  0.02226  0.0667215553195  0.0339
011100052  0.577839  0.433341  0.455630  0.33333190187286  0.5024
011100122  0.244416  0.177818  0.200014  0.1556886163135  0.1396
011101010  0.111112  0.133316  0.177813  0.1444886163135  0.1396
01110113  0.03331  0.01114  0.04444  0.0444215553195  0.0339
011110012  0.133312  0.133322  0.244412  0.1333886163135  0.1396
01111012  0.02226  0.06674  0.04444  0.0444215553195  0.0339
01111101  0.01117  0.07781  0.01113  0.0333215553195  0.0339
01111110002  0.022245379620  0.0071
1000000431  4.7889417  4.6333413  4.5889426  4.733328760021745  4.5290
1000001144  1.6000143  1.5889135  1.5000148  1.644410150595910  1.5985
1000010141  1.5667128  1.4222135  1.5000126  1.400010150595910  1.5985
100001149  0.544451  0.566751  0.566745  0.50003190187286  0.5024
1000100130  1.4444143  1.5889157  1.7444149  1.655610150595910  1.5985
100010161  0.677853  0.588935  0.388944  0.48893190187286  0.5024
100011046  0.511138  0.422242  0.466746  0.51113190187286  0.5024
10001118  0.08899  0.100010  0.11118  0.0889886163135  0.1396
1001000135  1.5000146  1.6222160  1.7778133  1.477810150595910  1.5985
100100138  0.422247  0.522251  0.566756  0.62223190187286  0.5024
100101046  0.511149  0.544450  0.555644  0.48893190187286  0.5024
100101113  0.14448  0.08897  0.077812  0.1333886163135  0.1396
100110054  0.600051  0.566747  0.522249  0.54443190187286  0.5024
100110117  0.188914  0.155614  0.155621  0.2333886163135  0.1396
100111013  0.144416  0.177814  0.155616  0.1778886163135  0.1396
10011111  0.01117  0.07786  0.06676  0.0667215553195  0.0339
1010000157  1.7444139  1.5444148  1.6444133  1.477810150595910  1.5985
101000150  0.555634  0.377847  0.522247  0.52223190187286  0.5024
101001049  0.544451  0.566754  0.600031  0.34443190187286  0.5024
101001111  0.122215  0.166715  0.16677  0.0778886163135  0.1396
101010042  0.466756  0.622239  0.433341  0.45563190187286  0.5024
101010113  0.144413  0.144413  0.14446  0.0667886163135  0.1396
101011014  0.15566  0.06678  0.088920  0.2222886163135  0.1396
10101113  0.03334  0.04442  0.02223  0.0333215553195  0.0339
101100038  0.422249  0.544453  0.588940  0.44443190187286  0.5024
10110019  0.100016  0.17789  0.100011  0.1222886163135  0.1396
101101015  0.166711  0.12228  0.088918  0.2000886163135  0.1396
10110113  0.03332  0.02222  0.02223  0.0333215553195  0.0339
10111005  0.05567  0.077812  0.133312  0.1333886163135  0.1396
10111016  0.06671  0.01111  0.01111  0.0111215553195  0.0339
10111103  0.03333  0.03332  0.02225  0.0556215553195  0.0339
101111101  0.011101  0.011145379620  0.0071
1100000147  1.6333129  1.4333156  1.7333135  1.500010150595910  1.5985
110000154  0.600046  0.511146  0.511145  0.50003190187286  0.5024
110001050  0.555633  0.366750  0.555631  0.34443190187286  0.5024
110001116  0.177810  0.111113  0.144418  0.2000886163135  0.1396
110010044  0.488946  0.511136  0.400046  0.51113190187286  0.5024
11001019  0.100015  0.16679  0.10009  0.1000886163135  0.1396
110011016  0.17784  0.044413  0.144419  0.2111886163135  0.1396
11001116  0.06671  0.01112  0.02227  0.0778215553195  0.0339
110100052  0.577843  0.477847  0.522240  0.44443190187286  0.5024
11010019  0.100012  0.13339  0.10009  0.1000886163135  0.1396
110101014  0.155611  0.122212  0.13339  0.1000886163135  0.1396
11010112  0.02222  0.02222  0.02223  0.0333215553195  0.0339
110110012  0.133312  0.133318  0.200010  0.1111886163135  0.1396
11011013  0.03332  0.02222  0.02223  0.0333215553195  0.0339
11011106  0.06673  0.03332  0.02226  0.0667215553195  0.0339
11011111  0.011101  0.01111  0.011145379620  0.0071
111000054  0.600038  0.422254  0.600041  0.45563190187286  0.5024
111000114  0.155613  0.144410  0.111116  0.1778886163135  0.1396
111001010  0.111110  0.111119  0.211112  0.1333886163135  0.1396
11100113  0.03331  0.01113  0.03330215553195  0.0339
111010010  0.11119  0.100013  0.144410  0.1111886163135  0.1396
11101013  0.03333  0.03335  0.05563  0.0333215553195  0.0339
11101105  0.05565  0.05565  0.05561  0.0111215553195  0.0339
11101111  0.011101  0.0111045379620  0.0071
111100010  0.111114  0.155612  0.133312  0.1333886163135  0.1396
11110015  0.05565  0.05562  0.02222  0.0222215553195  0.0339
11110102  0.02226  0.06671  0.01112  0.0222215553195  0.0339
111101101  0.01111  0.0111045379620  0.0071
11111004  0.04442  0.02222  0.02222  0.0222215553195  0.0339
1111101001  0.0111045379620  0.0071
1111110002  0.0222045379620  0.0071
111111100008145060  0.0013
U = 1289000 32.31829000 31.12389000 32.33799000 31.2201635013559600 31.7500

TopMain

Heart quality map = hq

Heart Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
00000001080 12.00001014 11.26671096 12.17781019 11.322273006209045 11.4968
0000001392  4.3556379  4.2111375  4.1667409  4.544428760021745  4.5290
0000010406  4.5111394  4.3778421  4.6778423  4.700028760021745  4.5290
0000011133  1.4778128  1.4222143  1.5889134  1.488910150595910  1.5985
0000100396  4.4000407  4.5222393  4.3667396  4.400028760021745  4.5290
0000101171  1.9000153  1.7000145  1.6111144  1.600010150595910  1.5985
0000110132  1.4667157  1.7444127  1.4111171  1.900010150595910  1.5985
000011152  0.577838  0.422251  0.566758  0.64443190187286  0.5024
0001000437  4.8556429  4.7667397  4.4111403  4.477828760021745  4.5290
0001001138  1.5333121  1.3444148  1.6444129  1.433310150595910  1.5985
0001010148  1.6444148  1.6444129  1.4333163  1.811110150595910  1.5985
000101145  0.500055  0.611150  0.555635  0.38893190187286  0.5024
0001100146  1.6222160  1.7778138  1.5333135  1.500010150595910  1.5985
000110145  0.500048  0.533358  0.644443  0.47783190187286  0.5024
000111045  0.500049  0.544433  0.366741  0.45563190187286  0.5024
000111111  0.122216  0.17788  0.088919  0.2111886163135  0.1396
0010000396  4.4000361  4.0111397  4.4111415  4.611128760021745  4.5290
0010001162  1.8000185  2.0556133  1.4778150  1.666710150595910  1.5985
0010010148  1.6444139  1.5444122  1.3556137  1.522210150595910  1.5985
001001128  0.311146  0.511144  0.488954  0.60003190187286  0.5024
0010100176  1.9556149  1.6556117  1.3000137  1.522210150595910  1.5985
001010152  0.577845  0.500051  0.566744  0.48893190187286  0.5024
001011042  0.466747  0.522239  0.433347  0.52223190187286  0.5024
001011112  0.133316  0.177816  0.177821  0.2333886163135  0.1396
0011000132  1.4667136  1.5111151  1.6778139  1.544410150595910  1.5985
001100150  0.555654  0.600047  0.522239  0.43333190187286  0.5024
001101047  0.522247  0.522244  0.488942  0.46673190187286  0.5024
001101116  0.177811  0.122213  0.144418  0.2000886163135  0.1396
001110046  0.511136  0.400040  0.444443  0.47783190187286  0.5024
00111016  0.066717  0.188914  0.155611  0.1222886163135  0.1396
001111018  0.200014  0.155610  0.11118  0.0889886163135  0.1396
00111112  0.02221  0.01113  0.03333  0.0333215553195  0.0339
0100000444  4.9333427  4.7444427  4.7444376  4.177828760021745  4.5290
0100001133  1.4778132  1.4667150  1.6667123  1.366710150595910  1.5985
0100010142  1.5778127  1.4111141  1.5667156  1.733310150595910  1.5985
010001137  0.411156  0.622252  0.577858  0.64443190187286  0.5024
0100100138  1.5333151  1.6778121  1.3444129  1.433310150595910  1.5985
010010140  0.444441  0.455650  0.555657  0.63333190187286  0.5024
010011045  0.500044  0.488941  0.455643  0.47783190187286  0.5024
010011115  0.16679  0.100014  0.155617  0.1889886163135  0.1396
0101000139  1.5444136  1.5111135  1.5000150  1.666710150595910  1.5985
010100146  0.511146  0.511157  0.633345  0.50003190187286  0.5024
010101037  0.411145  0.500049  0.544448  0.53333190187286  0.5024
010101111  0.122215  0.16679  0.100017  0.1889886163135  0.1396
010110060  0.666749  0.544449  0.544454  0.60003190187286  0.5024
01011018  0.088918  0.200013  0.144417  0.1889886163135  0.1396
010111014  0.155611  0.12228  0.088912  0.1333886163135  0.1396
01011114  0.04441  0.01113  0.03333  0.0333215553195  0.0339
0110000156  1.7333142  1.5778145  1.6111155  1.722210150595910  1.5985
011000150  0.555637  0.411159  0.655642  0.46673190187286  0.5024
011001051  0.566748  0.533346  0.511157  0.63333190187286  0.5024
01100118  0.088911  0.122211  0.122210  0.1111886163135  0.1396
011010042  0.466741  0.455648  0.533347  0.52223190187286  0.5024
011010112  0.13338  0.08897  0.077819  0.2111886163135  0.1396
01101107  0.077819  0.211112  0.133310  0.1111886163135  0.1396
01101113  0.03332  0.02228  0.08893  0.0333215553195  0.0339
011100044  0.488950  0.555650  0.555639  0.43333190187286  0.5024
011100110  0.111113  0.144412  0.133318  0.2000886163135  0.1396
01110108  0.088911  0.12228  0.08895  0.0556886163135  0.1396
01110114  0.04444  0.04443  0.03335  0.0556215553195  0.0339
011110011  0.122214  0.15566  0.06679  0.1000886163135  0.1396
01111014  0.044402  0.02223  0.0333215553195  0.0339
01111104  0.04441  0.01113  0.03333  0.0333215553195  0.0339
011111101  0.011101  0.011145379620  0.0071
1000000425  4.7222425  4.7222430  4.7778421  4.677828760021745  4.5290
1000001128  1.4222138  1.5333148  1.6444138  1.533310150595910  1.5985
1000010135  1.5000141  1.5667130  1.4444136  1.511110150595910  1.5985
100001144  0.488945  0.500042  0.466746  0.51113190187286  0.5024
1000100137  1.5222163  1.8111124  1.3778135  1.500010150595910  1.5985
100010135  0.388942  0.466757  0.633334  0.37783190187286  0.5024
100011039  0.433341  0.455658  0.644450  0.55563190187286  0.5024
100011115  0.166713  0.144410  0.111112  0.1333886163135  0.1396
1001000141  1.5667163  1.8111142  1.5778122  1.355610150595910  1.5985
100100135  0.388943  0.477841  0.455646  0.51113190187286  0.5024
100101037  0.411149  0.544440  0.444451  0.56673190187286  0.5024
100101112  0.133313  0.144420  0.222219  0.2111886163135  0.1396
100110044  0.488950  0.555636  0.400040  0.44443190187286  0.5024
100110116  0.177814  0.155617  0.188914  0.1556886163135  0.1396
10011109  0.100014  0.15569  0.10004  0.0444886163135  0.1396
10011111  0.01114  0.04441  0.01112  0.0222215553195  0.0339
1010000139  1.5444150  1.6667148  1.6444154  1.711110150595910  1.5985
101000158  0.644446  0.511148  0.533344  0.48893190187286  0.5024
101001044  0.488942  0.466754  0.600060  0.66673190187286  0.5024
101001112  0.133315  0.166715  0.166716  0.1778886163135  0.1396
101010037  0.411145  0.500043  0.477846  0.51113190187286  0.5024
101010115  0.166714  0.15569  0.100012  0.1333886163135  0.1396
10101105  0.055615  0.166712  0.133317  0.1889886163135  0.1396
10101112  0.02222  0.02221  0.01112  0.0222215553195  0.0339
101100042  0.466745  0.500047  0.522243  0.47783190187286  0.5024
101100115  0.16677  0.077823  0.255612  0.1333886163135  0.1396
101101012  0.133310  0.11119  0.100010  0.1111886163135  0.1396
10110113  0.03339  0.10004  0.04444  0.0444215553195  0.0339
101110013  0.144410  0.111121  0.233321  0.2333886163135  0.1396
10111017  0.07781  0.01113  0.03335  0.0556215553195  0.0339
10111104  0.04445  0.05567  0.07781  0.0111215553195  0.0339
10111111  0.01113  0.03331  0.01111  0.011145379620  0.0071
1100000134  1.4889147  1.6333152  1.6889151  1.677810150595910  1.5985
110000143  0.477836  0.400037  0.411134  0.37783190187286  0.5024
110001043  0.477840  0.444454  0.600053  0.58893190187286  0.5024
110001112  0.133315  0.166714  0.15569  0.1000886163135  0.1396
110010042  0.466754  0.600055  0.611139  0.43333190187286  0.5024
110010115  0.166713  0.144413  0.144414  0.1556886163135  0.1396
110011012  0.133314  0.155613  0.144413  0.1444886163135  0.1396
110011103  0.03333  0.03332  0.0222215553195  0.0339
110100037  0.411142  0.466742  0.466745  0.50003190187286  0.5024
110100111  0.122212  0.133315  0.166713  0.1444886163135  0.1396
110101016  0.177813  0.144418  0.200018  0.2000886163135  0.1396
11010113  0.03336  0.06671  0.01117  0.0778215553195  0.0339
110110010  0.11117  0.077823  0.255616  0.1778886163135  0.1396
11011013  0.03332  0.02221  0.01114  0.0444215553195  0.0339
11011102  0.02223  0.03335  0.05563  0.0333215553195  0.0339
110111102  0.02222  0.02221  0.011145379620  0.0071
111000046  0.511133  0.366739  0.433340  0.44443190187286  0.5024
111000123  0.25567  0.07788  0.088912  0.1333886163135  0.1396
111001012  0.13339  0.100016  0.17788  0.0889886163135  0.1396
11100117  0.07785  0.05563  0.03331  0.0111215553195  0.0339
111010013  0.144416  0.177813  0.144417  0.1889886163135  0.1396
11101014  0.04444  0.044402  0.0222215553195  0.0339
111011003  0.03331  0.01112  0.0222215553195  0.0339
11101111  0.011100045379620  0.0071
11110005  0.055610  0.111118  0.20007  0.0778886163135  0.1396
11110013  0.03334  0.04444  0.04442  0.0222215553195  0.0339
11110103  0.03338  0.08892  0.02222  0.0222215553195  0.0339
111101101  0.01111  0.0111045379620  0.0071
11111001  0.01111  0.01113  0.03334  0.0444215553195  0.0339
111110101  0.01110045379620  0.0071
111111002  0.02221  0.01112  0.022245379620  0.0071
1111111001  0.011108145060  0.0013
U = 1289000 31.04479000 31.98709000 32.22789000 31.7406635013559600 31.7500

TopMain

Diamond quality map = dq

Diamond Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
0000000964 10.7111999 11.10001009 11.21111045 11.611173006209045 11.4968
0000001391  4.3444418  4.6444393  4.3667437  4.855628760021745  4.5290
0000010434  4.8222455  5.0556381  4.2333408  4.533328760021745  4.5290
0000011126  1.4000133  1.4778143  1.5889145  1.611110150595910  1.5985
0000100437  4.8556426  4.7333406  4.5111416  4.622228760021745  4.5290
0000101149  1.6556154  1.7111141  1.5667138  1.533310150595910  1.5985
0000110144  1.6000149  1.6556139  1.5444151  1.677810150595910  1.5985
000011143  0.477844  0.488936  0.400035  0.38893190187286  0.5024
0001000443  4.9222408  4.5333391  4.3444386  4.288928760021745  4.5290
0001001130  1.4444141  1.5667116  1.2889130  1.444410150595910  1.5985
0001010171  1.9000164  1.8222134  1.4889145  1.611110150595910  1.5985
000101161  0.677848  0.533350  0.555649  0.54443190187286  0.5024
0001100130  1.4444149  1.6556125  1.3889157  1.744410150595910  1.5985
000110130  0.333348  0.533354  0.600042  0.46673190187286  0.5024
000111051  0.566746  0.511148  0.533354  0.60003190187286  0.5024
000111110  0.111111  0.122218  0.200012  0.1333886163135  0.1396
0010000422  4.6889391  4.3444414  4.6000405  4.500028760021745  4.5290
0010001145  1.6111144  1.6000153  1.7000137  1.522210150595910  1.5985
0010010156  1.7333137  1.5222158  1.7556144  1.600010150595910  1.5985
001001148  0.533345  0.500051  0.566738  0.42223190187286  0.5024
0010100169  1.8778140  1.5556142  1.5778162  1.800010150595910  1.5985
001010141  0.455646  0.511138  0.422246  0.51113190187286  0.5024
001011028  0.311147  0.522256  0.622234  0.37783190187286  0.5024
001011113  0.144414  0.155616  0.177810  0.1111886163135  0.1396
0011000148  1.6444162  1.8000149  1.6556138  1.533310150595910  1.5985
001100139  0.433357  0.633349  0.544445  0.50003190187286  0.5024
001101051  0.566751  0.566734  0.377855  0.61113190187286  0.5024
00110115  0.055620  0.222213  0.144410  0.1111886163135  0.1396
001110040  0.444446  0.511132  0.355647  0.52223190187286  0.5024
00111018  0.088911  0.12228  0.088913  0.1444886163135  0.1396
00111109  0.100010  0.111110  0.111115  0.1667886163135  0.1396
00111117  0.07784  0.04441  0.01113  0.0333215553195  0.0339
0100000428  4.7556380  4.2222393  4.3667419  4.655628760021745  4.5290
0100001149  1.6556147  1.6333138  1.5333150  1.666710150595910  1.5985
0100010142  1.5778127  1.4111136  1.5111130  1.444410150595910  1.5985
010001145  0.500045  0.500052  0.577841  0.45563190187286  0.5024
0100100158  1.7556150  1.6667172  1.9111152  1.688910150595910  1.5985
010010156  0.622243  0.477846  0.511151  0.56673190187286  0.5024
010011051  0.566737  0.411147  0.522231  0.34443190187286  0.5024
010011110  0.111110  0.111112  0.133310  0.1111886163135  0.1396
0101000123  1.3667142  1.5778131  1.4556130  1.444410150595910  1.5985
010100155  0.611139  0.433353  0.588953  0.58893190187286  0.5024
010101042  0.466741  0.455648  0.533339  0.43333190187286  0.5024
010101116  0.17789  0.100012  0.133313  0.1444886163135  0.1396
010110049  0.544445  0.500053  0.588951  0.56673190187286  0.5024
010110119  0.211113  0.144411  0.122213  0.1444886163135  0.1396
010111014  0.155610  0.111121  0.23336  0.0667886163135  0.1396
01011116  0.06672  0.02222  0.02224  0.0444215553195  0.0339
0110000148  1.6444141  1.5667139  1.5444164  1.822210150595910  1.5985
011000144  0.488940  0.444441  0.455642  0.46673190187286  0.5024
011001042  0.466749  0.544448  0.533346  0.51113190187286  0.5024
011001114  0.15569  0.100016  0.17788  0.0889886163135  0.1396
011010040  0.444453  0.588938  0.422250  0.55563190187286  0.5024
011010115  0.166711  0.122211  0.122212  0.1333886163135  0.1396
01101109  0.10008  0.088912  0.13337  0.0778886163135  0.1396
01101119  0.10003  0.03332  0.02221  0.0111215553195  0.0339
011100047  0.522248  0.533350  0.555643  0.47783190187286  0.5024
011100111  0.122220  0.222218  0.200017  0.1889886163135  0.1396
01110109  0.100011  0.12227  0.077816  0.1778886163135  0.1396
01110115  0.05564  0.04442  0.02223  0.0333215553195  0.0339
011110011  0.122211  0.122212  0.13339  0.1000886163135  0.1396
01111012  0.02224  0.04442  0.02225  0.0556215553195  0.0339
01111103  0.03332  0.02224  0.04444  0.0444215553195  0.0339
0111111002  0.02222  0.022245379620  0.0071
1000000386  4.2889453  5.0333412  4.5778407  4.522228760021745  4.5290
1000001151  1.6778143  1.5889154  1.7111147  1.633310150595910  1.5985
1000010146  1.6222126  1.4000155  1.7222129  1.433310150595910  1.5985
100001151  0.566740  0.444453  0.588951  0.56673190187286  0.5024
1000100157  1.7444125  1.3889152  1.6889140  1.555610150595910  1.5985
100010130  0.333340  0.444447  0.522245  0.50003190187286  0.5024
100011031  0.344437  0.411155  0.611147  0.52223190187286  0.5024
100011112  0.133316  0.177812  0.133310  0.1111886163135  0.1396
1001000149  1.6556130  1.4444160  1.7778158  1.755610150595910  1.5985
100100141  0.455654  0.600046  0.511152  0.57783190187286  0.5024
100101032  0.355651  0.566752  0.577846  0.51113190187286  0.5024
100101113  0.144416  0.177813  0.144411  0.1222886163135  0.1396
100110046  0.511143  0.477843  0.477847  0.52223190187286  0.5024
10011019  0.100013  0.144410  0.111115  0.1667886163135  0.1396
100111021  0.233314  0.15569  0.10009  0.1000886163135  0.1396
10011111  0.01111  0.01114  0.04441  0.0111215553195  0.0339
1010000146  1.6222133  1.4778145  1.6111145  1.611110150595910  1.5985
101000168  0.755640  0.444446  0.511151  0.56673190187286  0.5024
101001044  0.488950  0.555639  0.433344  0.48893190187286  0.5024
101001110  0.11119  0.100011  0.122218  0.2000886163135  0.1396
101010036  0.400029  0.322256  0.622242  0.46673190187286  0.5024
10101013  0.033310  0.111110  0.111111  0.1222886163135  0.1396
101011014  0.155611  0.12226  0.06678  0.0889886163135  0.1396
10101114  0.04443  0.03335  0.05563  0.0333215553195  0.0339
101100039  0.433347  0.522258  0.644433  0.36673190187286  0.5024
10110019  0.100015  0.16678  0.088910  0.1111886163135  0.1396
101101015  0.166712  0.133320  0.222214  0.1556886163135  0.1396
10110113  0.03332  0.02221  0.01116  0.0667215553195  0.0339
10111009  0.100011  0.122210  0.11119  0.1000886163135  0.1396
10111012  0.022204  0.04443  0.0333215553195  0.0339
10111109  0.10004  0.04442  0.02224  0.0444215553195  0.0339
1011111000045379620  0.0071
1100000136  1.5111152  1.6889161  1.7889135  1.500010150595910  1.5985
110000142  0.466746  0.511156  0.622245  0.50003190187286  0.5024
110001042  0.466736  0.400053  0.588950  0.55563190187286  0.5024
110001114  0.155613  0.144413  0.144414  0.1556886163135  0.1396
110010036  0.400047  0.522247  0.522258  0.64443190187286  0.5024
110010110  0.111114  0.155610  0.111120  0.2222886163135  0.1396
110011014  0.155612  0.13339  0.100010  0.1111886163135  0.1396
11001114  0.04447  0.07783  0.03331  0.0111215553195  0.0339
110100037  0.411151  0.566749  0.544448  0.53333190187286  0.5024
11010019  0.10008  0.088917  0.18897  0.0778886163135  0.1396
110101017  0.188910  0.111112  0.13339  0.1000886163135  0.1396
11010115  0.05565  0.05561  0.01112  0.0222215553195  0.0339
110110010  0.111115  0.166711  0.122213  0.1444886163135  0.1396
11011011  0.01114  0.04441  0.01111  0.0111215553195  0.0339
110111005  0.05563  0.03333  0.0333215553195  0.0339
11011111  0.0111001  0.011145379620  0.0071
111000045  0.500047  0.522252  0.577831  0.34443190187286  0.5024
111000120  0.222211  0.122210  0.111114  0.1556886163135  0.1396
11100108  0.088915  0.166715  0.16677  0.0778886163135  0.1396
11100117  0.07783  0.03334  0.04442  0.0222215553195  0.0339
11101008  0.088915  0.166714  0.155610  0.1111886163135  0.1396
11101015  0.05564  0.04443  0.03333  0.0333215553195  0.0339
11101104  0.04448  0.08892  0.02222  0.0222215553195  0.0339
11101111  0.011101  0.0111045379620  0.0071
111100010  0.111113  0.14447  0.077813  0.1444886163135  0.1396
11110013  0.033303  0.03332  0.0222215553195  0.0339
11110103  0.03332  0.02223  0.03331  0.0111215553195  0.0339
111101102  0.02221  0.0111045379620  0.0071
11111004  0.04444  0.044405  0.0556215553195  0.0339
111110101  0.01111  0.01111  0.011145379620  0.0071
1111110001  0.01112  0.022245379620  0.0071
11111112  0.02220008145060  0.0013
U = 1289000 31.39579000 31.46309000 32.69189000 31.4496635013559600 31.7500

TopMain

Club quality map = cq

Club Ace = 64   King = 32   Queen = 16   Jack = 8   Ten = 4   Nine = 2   Eight = 1

ValueNorthSouthWestEastTheoretical
00000001013 11.25561031 11.45561067 11.85561056 11.733373006209045 11.4968
0000001417  4.6333426  4.7333403  4.4778400  4.444428760021745  4.5290
0000010381  4.2333387  4.3000447  4.9667392  4.355628760021745  4.5290
0000011145  1.6111145  1.6111147  1.6333161  1.788910150595910  1.5985
0000100430  4.7778419  4.6556387  4.3000366  4.066728760021745  4.5290
0000101162  1.8000138  1.5333126  1.4000146  1.622210150595910  1.5985
0000110125  1.3889139  1.5444141  1.5667137  1.522210150595910  1.5985
000011156  0.622239  0.433342  0.466742  0.46673190187286  0.5024
0001000430  4.7778450  5.0000400  4.4444409  4.544428760021745  4.5290
0001001136  1.5111138  1.5333136  1.5111139  1.544410150595910  1.5985
0001010138  1.5333151  1.6778150  1.6667166  1.844410150595910  1.5985
000101146  0.511139  0.433357  0.633347  0.52223190187286  0.5024
0001100138  1.5333146  1.6222127  1.4111131  1.455610150595910  1.5985
000110146  0.511149  0.544439  0.433343  0.47783190187286  0.5024
000111049  0.544445  0.500051  0.566742  0.46673190187286  0.5024
000111122  0.244418  0.20008  0.088911  0.1222886163135  0.1396
0010000413  4.5889401  4.4556413  4.5889408  4.533328760021745  4.5290
0010001131  1.4556153  1.7000130  1.4444144  1.600010150595910  1.5985
0010010136  1.5111139  1.5444126  1.4000150  1.666710150595910  1.5985
001001153  0.588937  0.411148  0.533351  0.56673190187286  0.5024
0010100160  1.7778153  1.7000150  1.6667157  1.744410150595910  1.5985
001010155  0.611137  0.411157  0.633341  0.45563190187286  0.5024
001011042  0.466737  0.411160  0.666739  0.43333190187286  0.5024
001011110  0.111114  0.15567  0.077820  0.2222886163135  0.1396
0011000154  1.7111161  1.7889151  1.6778130  1.444410150595910  1.5985
001100142  0.466746  0.511133  0.366748  0.53333190187286  0.5024
001101042  0.466745  0.500045  0.500045  0.50003190187286  0.5024
001101114  0.155613  0.144414  0.15569  0.1000886163135  0.1396
001110053  0.588945  0.500039  0.433341  0.45563190187286  0.5024
00111019  0.10008  0.088915  0.166720  0.2222886163135  0.1396
00111109  0.100019  0.211114  0.155610  0.1111886163135  0.1396
00111111  0.01111  0.01113  0.03336  0.0667215553195  0.0339
0100000394  4.3778416  4.6222393  4.3667367  4.077828760021745  4.5290
0100001139  1.5444148  1.6444143  1.5889130  1.444410150595910  1.5985
0100010149  1.6556156  1.7333148  1.6444135  1.500010150595910  1.5985
010001155  0.611152  0.577841  0.455630  0.33333190187286  0.5024
0100100146  1.6222168  1.8667130  1.4444152  1.688910150595910  1.5985
010010148  0.533344  0.488949  0.544452  0.57783190187286  0.5024
010011038  0.422233  0.366748  0.533341  0.45563190187286  0.5024
010011112  0.133325  0.277814  0.155618  0.2000886163135  0.1396
0101000131  1.4556163  1.8111145  1.6111129  1.433310150595910  1.5985
010100157  0.633347  0.522241  0.455639  0.43333190187286  0.5024
010101031  0.344450  0.555643  0.477840  0.44443190187286  0.5024
010101114  0.155610  0.111117  0.188913  0.1444886163135  0.1396
010110050  0.555637  0.411140  0.444455  0.61113190187286  0.5024
010110110  0.111111  0.122215  0.166713  0.1444886163135  0.1396
010111012  0.133315  0.166722  0.24449  0.1000886163135  0.1396
01011113  0.03336  0.06671  0.01113  0.0333215553195  0.0339
0110000147  1.6333146  1.6222157  1.7444145  1.611110150595910  1.5985
011000141  0.455640  0.444451  0.566752  0.57783190187286  0.5024
011001037  0.411142  0.466755  0.611140  0.44443190187286  0.5024
01100118  0.08897  0.077817  0.188922  0.2444886163135  0.1396
011010048  0.533346  0.511143  0.477839  0.43333190187286  0.5024
011010118  0.200014  0.155613  0.144410  0.1111886163135  0.1396
011011011  0.12228  0.088911  0.122215  0.1667886163135  0.1396
01101112  0.02222  0.022202  0.0222215553195  0.0339
011100038  0.422247  0.522244  0.488944  0.48893190187286  0.5024
011100114  0.155613  0.14447  0.07785  0.0556886163135  0.1396
011101014  0.155613  0.144410  0.111116  0.1778886163135  0.1396
01110115  0.05565  0.05564  0.04445  0.0556215553195  0.0339
011110014  0.155616  0.177811  0.122210  0.1111886163135  0.1396
01111013  0.03333  0.03331  0.01114  0.0444215553195  0.0339
01111103  0.033303  0.03333  0.0333215553195  0.0339
01111111  0.011101  0.01111  0.011145379620  0.0071
1000000385  4.2778383  4.2556415  4.6111427  4.744428760021745  4.5290
1000001147  1.6333128  1.4222142  1.5778163  1.811110150595910  1.5985
1000010145  1.6111134  1.4889121  1.3444158  1.755610150595910  1.5985
100001140  0.444438  0.422247  0.522254  0.60003190187286  0.5024
1000100155  1.7222128  1.4222138  1.5333149  1.655610150595910  1.5985
100010144  0.488950  0.555634  0.377838  0.42223190187286  0.5024
100011042  0.466760  0.666749  0.544452  0.57783190187286  0.5024
100011115  0.166717  0.188914  0.155612  0.1333886163135  0.1396
1001000129  1.4333148  1.6444168  1.8667130  1.444410150595910  1.5985
100100145  0.500038  0.422238  0.422245  0.50003190187286  0.5024
100101050  0.555635  0.388947  0.522243  0.47783190187286  0.5024
100101111  0.122210  0.111114  0.155613  0.1444886163135  0.1396
100110052  0.577848  0.533345  0.500054  0.60003190187286  0.5024
100110113  0.14446  0.066712  0.133313  0.1444886163135  0.1396
100111011  0.122215  0.16679  0.100017  0.1889886163135  0.1396
10011114  0.04443  0.03335  0.05562  0.0222215553195  0.0339
1010000141  1.5667128  1.4222143  1.5889145  1.611110150595910  1.5985
101000143  0.477852  0.577840  0.444455  0.61113190187286  0.5024
101001045  0.500046  0.511158  0.644443  0.47783190187286  0.5024
101001114  0.155611  0.12227  0.077819  0.2111886163135  0.1396
101010053  0.588932  0.355646  0.511142  0.46673190187286  0.5024
101010113  0.144411  0.12229  0.100015  0.1667886163135  0.1396
101011014  0.155613  0.14449  0.100011  0.1222886163135  0.1396
10101111  0.01112  0.02223  0.03336  0.0667215553195  0.0339
101100046  0.511155  0.611138  0.422243  0.47783190187286  0.5024
101100110  0.11117  0.077813  0.144413  0.1444886163135  0.1396
101101010  0.111112  0.133311  0.122219  0.2111886163135  0.1396
10110111  0.01117  0.07783  0.03331  0.0111215553195  0.0339
101110010  0.111113  0.144416  0.177814  0.1556886163135  0.1396
10111013  0.03331  0.01112  0.02225  0.0556215553195  0.0339
10111103  0.03332  0.02223  0.03333  0.0333215553195  0.0339
10111111  0.0111001  0.011145379620  0.0071
1100000140  1.5556144  1.6000168  1.8667162  1.800010150595910  1.5985
110000145  0.500039  0.433349  0.544448  0.53333190187286  0.5024
110001054  0.600039  0.433337  0.411149  0.54443190187286  0.5024
110001115  0.166712  0.133316  0.177813  0.1444886163135  0.1396
110010046  0.511162  0.688944  0.488950  0.55563190187286  0.5024
110010110  0.111110  0.111121  0.233313  0.1444886163135  0.1396
110011010  0.111112  0.13339  0.100011  0.1222886163135  0.1396
11001111  0.01114  0.04443  0.03333  0.0333215553195  0.0339
110100047  0.522241  0.455645  0.500042  0.46673190187286  0.5024
110100112  0.13338  0.08898  0.088914  0.1556886163135  0.1396
110101018  0.200014  0.15568  0.088913  0.1444886163135  0.1396
11010117  0.07783  0.03338  0.08891  0.0111215553195  0.0339
110110018  0.20009  0.100016  0.177810  0.1111886163135  0.1396
11011016  0.06674  0.04444  0.04444  0.0444215553195  0.0339
11011104  0.04441  0.01111  0.01111  0.0111215553195  0.0339
11011111  0.011100045379620  0.0071
111000051  0.566749  0.544449  0.544450  0.55563190187286  0.5024
111000113  0.14449  0.100011  0.122216  0.1778886163135  0.1396
111001011  0.122216  0.177815  0.166713  0.1444886163135  0.1396
11100114  0.04445  0.05564  0.04441  0.0111215553195  0.0339
111010011  0.12227  0.077811  0.122210  0.1111886163135  0.1396
11101013  0.03332  0.02224  0.04442  0.0222215553195  0.0339
11101102  0.02225  0.05561  0.01113  0.0333215553195  0.0339
11101110001  0.011145379620  0.0071
111100014  0.155612  0.133312  0.13338  0.0889886163135  0.1396
11110012  0.022202  0.02223  0.0333215553195  0.0339
11110101  0.01112  0.02222  0.02224  0.0444215553195  0.0339
1111011000045379620  0.0071
11111005  0.05565  0.05562  0.02222  0.0222215553195  0.0339
11111011  0.011100045379620  0.0071
111111001  0.011102  0.022245379620  0.0071
11111111  0.01110008145060  0.0013
U = 1289000 31.78509000 31.17819000 31.74669000 32.2903635013559600 31.7500

TopMain

Spade x-card map = sx

Spade Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
0000001411 15.67781422 15.80001461 16.23331448 16.0889101766230790 16.0258
000001501  5.5667540  6.0000506  5.6222577  6.411138910617655  6.1275
000010523  5.8111580  6.4444587  6.5222535  5.944438910617655  6.1275
000011211  2.3444208  2.3111190  2.1111169  1.877813340783196  2.1009
000100577  6.4111559  6.2111537  5.9667558  6.200038910617655  6.1275
000101187  2.0778172  1.9111180  2.0000206  2.288913340783196  2.1009
000110190  2.1111183  2.0333192  2.1333209  2.322213340783196  2.1009
00011164  0.711153  0.588959  0.655637  0.41114076350421  0.6419
001000593  6.5889564  6.2667570  6.3333558  6.200038910617655  6.1275
001001190  2.1111190  2.1111188  2.0889188  2.088913340783196  2.1009
001010187  2.0778187  2.0778188  2.0889185  2.055613340783196  2.1009
00101147  0.522256  0.622254  0.600057  0.63334076350421  0.6419
001100192  2.1333202  2.2444183  2.0333196  2.177813340783196  2.1009
00110147  0.522256  0.622263  0.700051  0.56674076350421  0.6419
00111055  0.611156  0.622255  0.611161  0.67784076350421  0.6419
00111123  0.255617  0.188916  0.17789  0.10001101716330  0.1735
010000551  6.1222545  6.0556556  6.1778534  5.933338910617655  6.1275
010001208  2.3111194  2.1556158  1.7556208  2.311113340783196  2.1009
010010206  2.2889207  2.3000202  2.2444203  2.255613340783196  2.1009
01001149  0.544453  0.588956  0.622254  0.60004076350421  0.6419
010100166  1.8444182  2.0222188  2.0889204  2.266713340783196  2.1009
01010159  0.655654  0.600058  0.644470  0.77784076350421  0.6419
01011072  0.800051  0.566758  0.644442  0.46674076350421  0.6419
01011119  0.211118  0.200016  0.177820  0.22221101716330  0.1735
011000175  1.9444188  2.0889206  2.2889199  2.211113340783196  2.1009
01100149  0.544467  0.744456  0.622269  0.76674076350421  0.6419
01101047  0.522249  0.544463  0.700055  0.61114076350421  0.6419
01101121  0.233313  0.144420  0.222220  0.22221101716330  0.1735
01110043  0.477860  0.666753  0.588955  0.61114076350421  0.6419
01110113  0.14449  0.100011  0.122211  0.12221101716330  0.1735
01111015  0.166718  0.200015  0.16679  0.10001101716330  0.1735
0111113  0.03334  0.04443  0.03334  0.0444260932815  0.0411
100000527  5.8556560  6.2222533  5.9222529  5.877838910617655  6.1275
100001201  2.2333195  2.1667201  2.2333194  2.155613340783196  2.1009
100010196  2.1778188  2.0889177  1.9667182  2.022213340783196  2.1009
10001161  0.677859  0.655666  0.733347  0.52224076350421  0.6419
100100194  2.1556187  2.0778217  2.4111202  2.244413340783196  2.1009
10010170  0.777848  0.533361  0.677863  0.70004076350421  0.6419
10011070  0.777864  0.711151  0.566754  0.60004076350421  0.6419
10011116  0.177813  0.144419  0.211116  0.17781101716330  0.1735
101000204  2.2667199  2.2111165  1.8333168  1.866713340783196  2.1009
10100153  0.588963  0.700059  0.655672  0.80004076350421  0.6419
10101064  0.711164  0.711147  0.522249  0.54444076350421  0.6419
10101121  0.233310  0.111112  0.133317  0.18891101716330  0.1735
10110049  0.544456  0.622266  0.733344  0.48894076350421  0.6419
10110115  0.166718  0.200015  0.166722  0.24441101716330  0.1735
10111017  0.188910  0.111116  0.177814  0.15561101716330  0.1735
1011113  0.03333  0.03335  0.05563  0.0333260932815  0.0411
110000195  2.1667186  2.0667204  2.2667183  2.033313340783196  2.1009
11000154  0.600064  0.711162  0.688965  0.72224076350421  0.6419
11001052  0.577850  0.555649  0.544453  0.58894076350421  0.6419
11001115  0.166720  0.222211  0.122217  0.18891101716330  0.1735
11010061  0.677862  0.688958  0.644450  0.55564076350421  0.6419
11010116  0.177810  0.111125  0.277814  0.15561101716330  0.1735
11011016  0.177811  0.122212  0.133315  0.16671101716330  0.1735
1101115  0.055605  0.05566  0.0667260932815  0.0411
11100062  0.688949  0.544464  0.711161  0.67784076350421  0.6419
11100115  0.166716  0.177814  0.155619  0.21111101716330  0.1735
11101021  0.23339  0.100013  0.144418  0.20001101716330  0.1735
1110118  0.08896  0.06677  0.07783  0.0333260932815  0.0411
11110014  0.155611  0.122214  0.155611  0.12221101716330  0.1735
1111014  0.04449  0.10001  0.01115  0.0556260932815  0.0411
1111104  0.04442  0.02223  0.03333  0.0333260932815  0.0411
1111113  0.03331  0.01110053524680  0.0084
U = 649000 15.96579000 15.65799000 15.77239000 15.6041635013559600 15.7500

TopMain

Heart x-card map = hx

Heart Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
0000001437 15.96671447 16.07781494 16.60001384 15.3778101766230790 16.0258
000001585  6.5000576  6.4000533  5.9222563  6.255638910617655  6.1275
000010508  5.6444558  6.2000580  6.4444528  5.866738910617655  6.1275
000011204  2.2667209  2.3222195  2.1667200  2.222213340783196  2.1009
000100539  5.9889524  5.8222574  6.3778584  6.488938910617655  6.1275
000101198  2.2000197  2.1889178  1.9778193  2.144413340783196  2.1009
000110186  2.0667192  2.1333187  2.0778203  2.255613340783196  2.1009
00011152  0.577868  0.755654  0.600054  0.60004076350421  0.6419
001000545  6.0556538  5.9778560  6.2222553  6.144438910617655  6.1275
001001185  2.0556197  2.1889183  2.0333184  2.044413340783196  2.1009
001010184  2.0444189  2.1000189  2.1000185  2.055613340783196  2.1009
00101177  0.855650  0.555651  0.566768  0.75564076350421  0.6419
001100201  2.2333198  2.2000183  2.0333177  1.966713340783196  2.1009
00110147  0.522254  0.600062  0.688939  0.43334076350421  0.6419
00111043  0.477858  0.644450  0.555649  0.54444076350421  0.6419
00111113  0.14448  0.088910  0.111113  0.14441101716330  0.1735
010000552  6.1333525  5.8333544  6.0444550  6.111138910617655  6.1275
010001179  1.9889179  1.9889177  1.9667191  2.122213340783196  2.1009
010010176  1.9556188  2.0889175  1.9444195  2.166713340783196  2.1009
01001159  0.655664  0.711150  0.555664  0.71114076350421  0.6419
010100203  2.2556194  2.1556182  2.0222221  2.455613340783196  2.1009
01010145  0.500051  0.566768  0.755650  0.55564076350421  0.6419
01011053  0.588962  0.688962  0.688965  0.72224076350421  0.6419
01011114  0.155619  0.211118  0.200011  0.12221101716330  0.1735
011000223  2.4778169  1.8778184  2.0444200  2.222213340783196  2.1009
01100171  0.788956  0.622256  0.622260  0.66674076350421  0.6419
01101068  0.755663  0.700058  0.644455  0.61114076350421  0.6419
01101117  0.188915  0.166717  0.188912  0.13331101716330  0.1735
01110058  0.644456  0.622266  0.733359  0.65564076350421  0.6419
01110112  0.133313  0.144413  0.144413  0.14441101716330  0.1735
01111011  0.122218  0.200014  0.155616  0.17781101716330  0.1735
0111116  0.06672  0.02224  0.04442  0.0222260932815  0.0411
100000568  6.3111539  5.9889537  5.9667552  6.133338910617655  6.1275
100001175  1.9444191  2.1222192  2.1333179  1.988913340783196  2.1009
100010176  1.9556162  1.8000185  2.0556188  2.088913340783196  2.1009
10001165  0.722257  0.633362  0.688966  0.73334076350421  0.6419
100100173  1.9222207  2.3000202  2.2444194  2.155613340783196  2.1009
10010151  0.566749  0.544466  0.733355  0.61114076350421  0.6419
10011053  0.588958  0.644465  0.722255  0.61114076350421  0.6419
10011121  0.233312  0.133311  0.122214  0.15561101716330  0.1735
101000192  2.1333202  2.2444185  2.0556225  2.500013340783196  2.1009
10100160  0.666751  0.566754  0.600052  0.57784076350421  0.6419
10101067  0.744453  0.588964  0.711150  0.55564076350421  0.6419
10101111  0.122219  0.211113  0.144412  0.13331101716330  0.1735
10110060  0.666762  0.688952  0.577849  0.54444076350421  0.6419
10110122  0.244420  0.222213  0.144418  0.20001101716330  0.1735
10111019  0.211121  0.233316  0.177818  0.20001101716330  0.1735
1011118  0.08892  0.02221  0.01112  0.0222260932815  0.0411
110000190  2.1111192  2.1333175  1.9444182  2.022213340783196  2.1009
11000157  0.633353  0.588947  0.522254  0.60004076350421  0.6419
11001061  0.677861  0.677876  0.844462  0.68894076350421  0.6419
11001119  0.211118  0.200017  0.188921  0.23331101716330  0.1735
11010051  0.566761  0.677861  0.677858  0.64444076350421  0.6419
11010113  0.144422  0.244416  0.177810  0.11111101716330  0.1735
11011015  0.166714  0.155615  0.166715  0.16671101716330  0.1735
1101111  0.01116  0.06672  0.02225  0.0556260932815  0.0411
11100052  0.577859  0.655657  0.633354  0.60004076350421  0.6419
11100119  0.211129  0.322212  0.133315  0.16671101716330  0.1735
11101015  0.166719  0.211112  0.133322  0.24441101716330  0.1735
1110115  0.05564  0.04442  0.02224  0.0444260932815  0.0411
11110022  0.244412  0.133313  0.144420  0.22221101716330  0.1735
1111014  0.04444  0.04444  0.04443  0.0333260932815  0.0411
1111104  0.04443  0.03332  0.02224  0.0444260932815  0.0411
11111101  0.011101  0.011153524680  0.0084
U = 649000 15.82729000 15.77809000 15.54039000 15.8544635013559600 15.7500

TopMain

Diamond x-card map = dx

Diamond Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
0000001432 15.91111377 15.30001457 16.18891446 16.0667101766230790 16.0258
000001551  6.1222563  6.2556541  6.0111579  6.433338910617655  6.1275
000010603  6.7000519  5.7667490  5.4444541  6.011138910617655  6.1275
000011199  2.2111180  2.0000198  2.2000186  2.066713340783196  2.1009
000100557  6.1889571  6.3444548  6.0889510  5.666738910617655  6.1275
000101189  2.1000201  2.2333186  2.0667180  2.000013340783196  2.1009
000110198  2.2000210  2.3333194  2.1556213  2.366713340783196  2.1009
00011163  0.700066  0.733351  0.566755  0.61114076350421  0.6419
001000567  6.3000547  6.0778587  6.5222585  6.500038910617655  6.1275
001001201  2.2333180  2.0000197  2.1889201  2.233313340783196  2.1009
001010185  2.0556173  1.9222191  2.1222152  1.688913340783196  2.1009
00101143  0.477856  0.622243  0.477841  0.45564076350421  0.6419
001100172  1.9111203  2.2556207  2.3000181  2.011113340783196  2.1009
00110148  0.533368  0.755666  0.733360  0.66674076350421  0.6419
00111065  0.722258  0.644441  0.455662  0.68894076350421  0.6419
00111112  0.133318  0.200016  0.177823  0.25561101716330  0.1735
010000530  5.8889551  6.1222569  6.3222551  6.122238910617655  6.1275
010001191  2.1222195  2.1667196  2.1778213  2.366713340783196  2.1009
010010213  2.3667179  1.9889220  2.4444192  2.133313340783196  2.1009
01001161  0.677861  0.677870  0.777851  0.56674076350421  0.6419
010100178  1.9778194  2.1556175  1.9444190  2.111113340783196  2.1009
01010147  0.522262  0.688951  0.566769  0.76674076350421  0.6419
01011053  0.588961  0.677850  0.555663  0.70004076350421  0.6419
01011114  0.155623  0.255620  0.222211  0.12221101716330  0.1735
011000183  2.0333180  2.0000191  2.1222185  2.055613340783196  2.1009
01100146  0.511162  0.688951  0.566758  0.64444076350421  0.6419
01101049  0.544469  0.766755  0.611147  0.52224076350421  0.6419
01101112  0.133316  0.177812  0.133324  0.26671101716330  0.1735
01110054  0.600052  0.577863  0.700046  0.51114076350421  0.6419
01110115  0.166719  0.211111  0.122213  0.14441101716330  0.1735
01111014  0.155612  0.133318  0.200010  0.11111101716330  0.1735
0111118  0.08896  0.06677  0.07785  0.0556260932815  0.0411
100000581  6.4556550  6.1111501  5.5667569  6.322238910617655  6.1275
100001175  1.9444195  2.1667189  2.1000187  2.077813340783196  2.1009
100010213  2.3667190  2.1111200  2.2222182  2.022213340783196  2.1009
10001144  0.488963  0.700063  0.700064  0.71114076350421  0.6419
100100176  1.9556189  2.1000183  2.0333176  1.955613340783196  2.1009
10010153  0.588946  0.511157  0.633349  0.54444076350421  0.6419
10011062  0.688968  0.755665  0.722256  0.62224076350421  0.6419
10011112  0.133317  0.188920  0.222214  0.15561101716330  0.1735
101000190  2.1111204  2.2667185  2.0556213  2.366713340783196  2.1009
10100152  0.577862  0.688958  0.644456  0.62224076350421  0.6419
10101053  0.588958  0.644451  0.566759  0.65564076350421  0.6419
10101118  0.200019  0.211115  0.166711  0.12221101716330  0.1735
10110062  0.688980  0.888955  0.611156  0.62224076350421  0.6419
10110115  0.166711  0.122216  0.177815  0.16671101716330  0.1735
10111015  0.166711  0.122221  0.233312  0.13331101716330  0.1735
1011115  0.05566  0.06673  0.03331  0.0111260932815  0.0411
110000176  1.9556168  1.8667204  2.2667209  2.322213340783196  2.1009
11000156  0.622239  0.433354  0.600063  0.70004076350421  0.6419
11001051  0.566758  0.644473  0.811150  0.55564076350421  0.6419
11001119  0.211117  0.188910  0.111110  0.11111101716330  0.1735
11010058  0.644465  0.722255  0.611159  0.65564076350421  0.6419
11010113  0.14449  0.100014  0.155614  0.15561101716330  0.1735
11011020  0.222216  0.177818  0.200019  0.21111101716330  0.1735
1101115  0.05566  0.06673  0.03332  0.0222260932815  0.0411
11100061  0.677866  0.733355  0.611167  0.74444076350421  0.6419
11100123  0.255611  0.122213  0.144417  0.18891101716330  0.1735
11101011  0.122213  0.144421  0.23337  0.07781101716330  0.1735
1110113  0.03334  0.04445  0.05562  0.0222260932815  0.0411
11110015  0.166719  0.211116  0.177812  0.13331101716330  0.1735
1111014  0.04446  0.06671  0.01113  0.0333260932815  0.0411
1111105  0.05562  0.02224  0.04442  0.0222260932815  0.0411
1111111  0.0111001  0.011153524680  0.0084
U = 649000 15.58589000 15.89529000 15.78329000 15.7358635013559600 15.7500

TopMain

Club x-card map = cx

Club Seven = 32   Six = 16   Five = 8   Four = 4   Three = 2   Two = 1

ValueNorthSouthWestEastTheoretical
0000001467 16.30001457 16.18891423 15.81111409 15.6556101766230790 16.0258
000001524  5.8222561  6.2333535  5.9444567  6.300038910617655  6.1275
000010550  6.1111541  6.0111561  6.2333590  6.555638910617655  6.1275
000011187  2.0778190  2.1111170  1.8889213  2.366713340783196  2.1009
000100561  6.2333532  5.9111521  5.7889532  5.911138910617655  6.1275
000101196  2.1778206  2.2889204  2.2667204  2.266713340783196  2.1009
000110179  1.9889171  1.9000180  2.0000203  2.255613340783196  2.1009
00011157  0.633361  0.677847  0.522247  0.52224076350421  0.6419
001000536  5.9556552  6.1333536  5.9556522  5.800038910617655  6.1275
001001187  2.0778204  2.2667168  1.8667169  1.877813340783196  2.1009
001010185  2.0556186  2.0667199  2.2111190  2.111113340783196  2.1009
00101156  0.622262  0.688958  0.644462  0.68894076350421  0.6419
001100194  2.1556192  2.1333185  2.0556222  2.466713340783196  2.1009
00110157  0.633351  0.566757  0.633367  0.74444076350421  0.6419
00111057  0.633374  0.822272  0.800063  0.70004076350421  0.6419
00111113  0.144412  0.13339  0.100015  0.16671101716330  0.1735
010000611  6.7889551  6.1222577  6.4111540  6.000038910617655  6.1275
010001195  2.1667203  2.2556222  2.4667186  2.066713340783196  2.1009
010010200  2.2222181  2.0111201  2.2333206  2.288913340783196  2.1009
01001165  0.722258  0.644462  0.688938  0.42224076350421  0.6419
010100162  1.8000186  2.0667196  2.1778169  1.877813340783196  2.1009
01010169  0.766757  0.633355  0.611165  0.72224076350421  0.6419
01011056  0.622259  0.655664  0.711161  0.67784076350421  0.6419
01011112  0.133313  0.144418  0.200014  0.15561101716330  0.1735
011000168  1.8667192  2.1333166  1.8444200  2.222213340783196  2.1009
01100145  0.500053  0.588960  0.666756  0.62224076350421  0.6419
01101057  0.633354  0.600059  0.655663  0.70004076350421  0.6419
01101115  0.166717  0.188911  0.122214  0.15561101716330  0.1735
01110064  0.711154  0.600053  0.588959  0.65564076350421  0.6419
01110115  0.16677  0.07789  0.100016  0.17781101716330  0.1735
01111017  0.188925  0.277813  0.144418  0.20001101716330  0.1735
0111111  0.01112  0.02225  0.05562  0.0222260932815  0.0411
100000526  5.8444565  6.2778543  6.0333550  6.111138910617655  6.1275
100001177  1.9667211  2.3444196  2.1778201  2.233313340783196  2.1009
100010180  2.0000177  1.9667201  2.2333180  2.000013340783196  2.1009
10001152  0.577855  0.611159  0.655650  0.55564076350421  0.6419
100100205  2.2778190  2.1111199  2.2111190  2.111113340783196  2.1009
10010151  0.566773  0.811149  0.544447  0.52224076350421  0.6419
10011049  0.544451  0.566766  0.733348  0.53334076350421  0.6419
10011115  0.166715  0.166717  0.188917  0.18891101716330  0.1735
101000206  2.2889202  2.2444204  2.2667180  2.000013340783196  2.1009
10100154  0.600053  0.588969  0.766756  0.62224076350421  0.6419
10101059  0.655663  0.700055  0.611168  0.75564076350421  0.6419
10101116  0.177822  0.244410  0.11118  0.08891101716330  0.1735
10110071  0.788965  0.722263  0.700058  0.64444076350421  0.6419
10110128  0.311115  0.166721  0.233314  0.15561101716330  0.1735
10111022  0.244414  0.155610  0.111120  0.22221101716330  0.1735
1011111  0.01112  0.02221  0.01117  0.0778260932815  0.0411
110000183  2.0333173  1.9222188  2.0889174  1.933313340783196  2.1009
11000158  0.644435  0.388956  0.622276  0.84444076350421  0.6419
11001061  0.677851  0.566761  0.677853  0.58894076350421  0.6419
11001119  0.211118  0.200018  0.200013  0.14441101716330  0.1735
11010063  0.700048  0.533354  0.600059  0.65564076350421  0.6419
11010121  0.233310  0.111115  0.166720  0.22221101716330  0.1735
11011010  0.111112  0.133320  0.222214  0.15561101716330  0.1735
1101111  0.01118  0.08891  0.01114  0.0444260932815  0.0411
11100060  0.666759  0.655667  0.744458  0.64444076350421  0.6419
11100115  0.166712  0.133324  0.266713  0.14441101716330  0.1735
11101013  0.144413  0.144412  0.133315  0.16671101716330  0.1735
1110112  0.02222  0.02222  0.02225  0.0556260932815  0.0411
11110014  0.155615  0.166716  0.177812  0.13331101716330  0.1735
1111013  0.03333  0.03333  0.03332  0.0222260932815  0.0411
1111105  0.05564  0.04443  0.03336  0.0667260932815  0.0411
1111112  0.022201  0.0111053524680  0.0084
U = 649000 15.76469000 15.58069000 16.01789000 15.6371635013559600 15.7500

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