Main   Stats 8H31 by Richard Pavlicek  

MP Matches thru 11-5-18

General stats for 496 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
061 12.298453 10.685562 12.500055 11.088766905856160 10.5361
1123 24.7984116 23.387190 18.145291 18.3468136852887600 21.5512
274 14.919484 16.935574 14.919472 14.516198534079072 15.5168
364 12.903270 14.112969 13.911374 14.919486189672140 13.5729
491 18.346895 19.153297 19.5565107 21.5726117942306768 18.5732
513  2.621010  2.016117  3.427415  3.024221896462016  3.4482
651 10.282344  8.871046  9.274245  9.072661166193660  9.6323
711  2.217711  2.217718  3.629019  3.830626049899304  4.1023
84  0.80656  1.209710  2.016112  2.41948651399328  1.3624
93  0.60484  0.806510  2.01615  1.00818399095848  1.3227
1001  0.201601  0.2016689049504  0.1085
111  0.20161  0.20162  0.403201548621360  0.2439
120000116001600  0.0183
1301  0.20161  0.2016063860368  0.0101
1400007941648  0.0013
160000231192  0.0000
1800002028  0.0000
2000004  0.0000
U = 18496  2.7117496  2.7883496  3.0746496  3.0524635013559600  2.9829
TopMain

Generic pattern = G

The 39 generic hand patterns in order of theoretical frequency

ValueNorthSouthWestEastTheoretical
 0 4432123 24.7984116 23.387190 18.145291 18.3468136852887600 21.5512
 1 533274 14.919484 16.935574 14.919472 14.516198534079072 15.5168
 2 543165 13.104865 13.104863 12.701675 15.121082111732560 12.9307
 3 542251 10.282355 11.088755 11.088756 11.290367182326640 10.5797
 4 433361 12.298453 10.685562 12.500055 11.088766905856160 10.5361
 5 632226  5.241930  6.048434  6.854832  6.451635830574208  5.6425
 6 642128  5.645214  2.822628  5.645225  5.040329858811840  4.7021
 7 633113  2.621010  2.016117  3.427415  3.024221896462016  3.4482
 8 552115  3.024217  3.42749  1.814512  2.419420154697992  3.1739
 9 444113  2.621015  3.024214  2.822618  3.629019007345500  2.9932
10 73215  1.00816  1.20979  1.81459  1.814511943524736  1.8808
11 64304  0.80654  0.80656  1.20975  1.00818421716160  1.3262
12 54405  1.008110  2.01618  1.61296  1.20977895358900  1.2433
13 55302  0.40321  0.20163  0.60485  1.00815684658408  0.8952
14 65112  0.40321  0.20164  0.80656  1.20974478821776  0.7053
15 65201  0.20161  0.20165  1.00813  0.60484134297024  0.6511
16 72223  0.60483  0.60481  0.20162  0.40323257324928  0.5130
17 74112  0.40323  0.60482  0.40324  0.80652488234320  0.3918
18 74201  0.20162  0.40323  0.60481  0.20162296831680  0.3617
19 733002  0.40324  0.80652  0.40321684343232  0.2652
20 822101  0.20161  0.201601221496848  0.1924
21 83111  0.201601  0.20161  0.2016746470296  0.1176
22 75101  0.20161  0.20161  0.20160689049504  0.1085
23 832001  0.201601  0.2016689049504  0.1085
24 6610001  0.20160459366336  0.0723
25 84100000287103960  0.0452
26 92110000113101560  0.0178
27 9310000063800880  0.0100
28 9220000052200720  0.0082
29 7600001  0.2016035335872  0.0056
30 850001  0.20160019876428  0.0031
31 A21000006960096  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 = 39496  3.2117496  3.4274496  4.0040496  3.8185635013559600  3.6954
TopMain

Controls = C

Ace = 2   King = 1

ValueNorthSouthWestEastTheoretical
031  6.250048  9.677437  7.459732  6.451651915526432  8.1755
178 15.725865 13.104867 13.508159 11.895284362730452 13.2852
2107 21.5726100 20.161393 18.7500102 20.5645130378765244 20.5317
394 18.9516113 22.7823122 24.5968110 22.1774132634453224 20.8869
476 15.322695 19.153280 16.129087 17.5403106275127972 16.7359
552 10.483940  8.064558 11.693558 11.693570893050800 11.1640
640  8.064521  4.233923  4.637131  6.250036155455908  5.6937
712  2.41949  1.814515  3.024210  2.016115596471176  2.4561
86  1.20973  0.60481  0.20165  1.00815192436964  0.8177
901  0.201601  0.20161322059596  0.2082
1001  0.201601  0.2016258159616  0.0407
11000028236208  0.0044
1200001086008  0.0002
U = 13496  3.0444496  2.8548496  2.9839496  3.1169635013559600  3.0000
TopMain

High-card points = P

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

ValueNorthSouthWestEastTheoretical
01  0.20163  0.60481  0.201602310789600  0.3639
12  0.40329  1.81454  0.80653  0.60485006710800  0.7884
214  2.822611  2.21779  1.81459  1.81458611542576  1.3561
35  1.00819  1.814512  2.41947  1.411315636342960  2.4624
421  4.233919  3.830618  3.629023  4.637124419055136  3.8454
533  6.653222  4.435526  5.241916  3.225832933031040  5.1862
632  6.451634  6.854834  6.854829  5.846841619399184  6.5541
731  6.250036  7.258136  7.258132  6.451650979441968  8.0281
847  9.475845  9.072644  8.871052 10.483956466608128  8.8922
947  9.475856 11.290349  9.879048  9.677459413313872  9.3562
1037  7.459752 10.483951 10.282355 11.088759723754816  9.4051
1143  8.669440  8.064541  8.266145  9.072656799933520  8.9447
1232  6.451649  9.879041  8.266140  8.064550971682080  8.0269
1340  8.064537  7.459737  7.459738  7.661343906944752  6.9143
1425  5.040316  3.225823  4.637133  6.653236153374224  5.6933
1533  6.653219  3.830622  4.435521  4.233928090962724  4.4237
1617  3.427412  2.419418  3.629010  2.016121024781756  3.3109
178  1.61299  1.814511  2.217715  3.024214997082848  2.3617
1812  2.41948  1.61299  1.81456  1.209710192504020  1.6051
198  1.61292  0.40325  1.00813  0.60486579838440  1.0362
203  0.60483  0.60483  0.60485  1.00814086538404  0.6435
213  0.60483  0.604802  0.40322399507844  0.3779
221  0.20161  0.20161  0.201601333800036  0.2100
231  0.20161  0.20161  0.20162  0.4032710603628  0.1119
240001  0.2016354993864  0.0559
250001  0.2016167819892  0.0264
26000074095248  0.0117
27000031157940  0.0049
28000011790760  0.0019
2900004236588  0.0007
3000001396068  0.0002
310000388196  0.0001
320000109156  0.0000
33000022360  0.0000
3400004484  0.0000
350000624  0.0000
36000060  0.0000
3700004  0.0000
U = 38496 10.1573496  9.6714496  9.9435496 10.2278635013559600 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
00000293805568  0.0463
11  0.20162  0.4032001766279872  0.2781
24  0.80656  1.20976  1.20974  0.80654460756944  0.7025
34  0.806512  2.41946  1.20975  1.00818243807120  1.2982
411  2.217711  2.21779  1.814514  2.822613933491492  2.1942
519  3.830619  3.830618  3.629011  2.217721764214176  3.4274
629  5.846814  2.822625  5.040320  4.032330423163944  4.7909
735  7.056534  6.854829  5.846829  5.846838944701748  6.1329
837  7.459737  7.459741  8.266128  5.645247115157372  7.4196
934  6.854848  9.677443  8.669439  7.862953631235236  8.4457
1044  8.871056 11.290341  8.266151 10.282357295091856  9.0227
1139  7.862945  9.072646  9.274259 11.895258143902808  9.1563
1241  8.266144  8.871046  9.274236  7.258156245617636  8.8574
1341  8.266141  8.266141  8.266147  9.475851805296432  8.1581
1432  6.451638  7.661335  7.056546  9.274245528936116  7.1698
1535  7.056523  4.637129  5.846818  3.629038297308552  6.0309
1623  4.637121  4.233927  5.443521  4.233930847863460  4.8578
1719  3.83069  1.814513  2.621027  5.443523818563824  3.7509
1818  3.62909  1.814518  3.629011  2.217717638216924  2.7776
1912  2.419410  2.016113  2.62109  1.814512512959412  1.9705
206  1.20976  1.20971  0.20167  1.41138546506844  1.3459
214  0.80654  0.80653  0.604810  2.01615599172640  0.8817
223  0.60483  0.60481  0.201603509161412  0.5526
234  0.80653  0.60483  0.604802112451680  0.3327
241  0.201602  0.40322  0.40321215549644  0.1914
2501  0.201601  0.2016665258884  0.1048
260000346309380  0.0545
270001  0.2016171594884  0.0270
28000079694360  0.0126
29000035006360  0.0055
30000014392632  0.0023
3100005429168  0.0009
3200001895604  0.0003
330000574548  0.0001
340000153448  0.0000
35000031924  0.0000
3600005172  0.0000
370000508  0.0000
38000016  0.0000
U = 39496 11.4456496 10.9617496 11.2823496 11.6169635013559600 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
201  0.2016001022787584  0.1611
32  0.40322  0.403202  0.40321834835968  0.2889
48  1.61298  1.61297  1.411310  2.01618288385280  1.3052
58  1.612910  2.016112  2.41945  1.008113587961408  2.1398
625  5.040329  5.846822  4.435515  3.024229907404912  4.7097
748  9.677432  6.451635  7.056527  5.443541453445520  6.5280
847  9.475855 11.088747  9.475847  9.475861513033480  9.6869
946  9.274266 13.306556 11.290360 12.096870986532496 11.1787
1064 12.903266 13.306567 13.508159 11.895280169517920 12.6249
1156 11.290358 11.693559 11.895270 14.112977238005980 12.1632
1255 11.088758 11.693555 11.088757 11.491970723648784 11.1373
1349  9.879036  7.258139  7.862942  8.467757473116632  9.0507
1432  6.451619  3.830639  7.862939  7.862944455847496  7.0008
1526  5.241925  5.040318  3.629025  5.040330812461108  4.8523
1611  2.217716  3.225819  3.830618  3.629020488020544  3.2264
1710  2.01616  1.20977  1.411311  2.217712080979332  1.9025
183  0.60485  1.008110  2.01615  1.00816865130592  1.0811
195  1.00812  0.40321  0.20163  0.60483412850548  0.5374
201  0.20161  0.20161  0.20161  0.20161635279380  0.2575
21001  0.20160673249156  0.1060
22001  0.20160269155616  0.0424
23000086893416  0.0137
2401  0.20160027926304  0.0044
2500005652256  0.0009
2600001437888  0.0002
U = 25496 10.6048496 10.3931496 10.7500496 10.9254635013559600 10.7371
TopMain

Quick half-tricks = Q

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

ValueNorthSouthWestEastTheoretical
032  6.451652 10.483939  7.862934  6.854854389790360  8.5651
158 11.693545  9.072649  9.879047  9.475861602628572  9.7010
295 19.153284 16.935587 17.540381 16.3306113660108928 17.8988
371 14.314584 16.935591 18.346879 15.927496416902372 15.1834
481 16.3306101 20.362983 16.733997 19.5565111050090784 17.4878
559 11.895255 11.088756 11.290359 11.895272935403696 11.4856
638  7.661336  7.258144  8.871047  9.475859887556392  9.4309
728  5.645219  3.830621  4.233924  4.838731112636760  4.8995
824  4.838711  2.217719  3.830618  3.629020067427740  3.1602
95  1.00814  0.80655  1.00816  1.20977980162216  1.2567
102  0.40323  0.60482  0.40321  0.20164055992444  0.6387
113  0.60481  0.201601  0.20161214000280  0.1912
1201  0.201602  0.4032502896536  0.0792
13000099889520  0.0157
14000033145000  0.0052
1500003843840  0.0006
1600001084160  0.0002
U = 17496  3.6169496  3.3669496  3.5000496  3.6734635013559600  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
101  0.20160039329036  0.0062
2001  0.20160454375244  0.0716
32  0.40322  0.40323  0.60484  0.80653126502788  0.4924
411  2.21776  1.209710  2.01618  1.612914069567832  2.2156
532  6.451629  5.846833  6.653234  6.854843541225304  6.8567
676 15.322667 13.508177 15.524273 14.717794901190408 14.9448
7110 22.1774111 22.3790109 21.9758135 27.2177145807470468 22.9613
8122 24.5968119 23.9919125 25.2016116 23.3871155515164912 24.4901
989 17.9435106 21.371088 17.741986 17.3387111719209440 17.5932
1042  8.467740  8.064540  8.064526  5.241951111464400  8.0489
1112  2.419413  2.621010  2.016114  2.822613274928000  2.0905
1202  0.4032001451520000  0.2286
U = 13496  7.5907496  7.7177496  7.5464496  7.4859635013559600  7.5566
TopMain

Longest suit = ls

Number of cards in longest suit

ValueNorthSouthWestEastTheoretical
4197 39.7177184 37.0968166 33.4677164 33.0645222766089260 35.0805
5212 42.7419232 46.7742212 42.7419226 45.5645281562853572 44.3397
674 14.919460 12.096895 19.153286 17.3387105080049360 16.5477
712  2.419417  3.427421  4.233918  3.629022394644272  3.5266
81  0.20163  0.60482  0.40322  0.40322963997036  0.4668
90000235237860  0.0370
10000010455016  0.0016
110000231192  0.0000
1200002028  0.0000
1300004  0.0000
U = 10496  4.8065496  4.8367496  4.9536496  4.9274635013559600  4.9008
TopMain

Shortest suit = ss

Number of cards in shortest suit

ValueNorthSouthWestEastTheoretical
014  2.822623  4.637132  6.451623  4.637132427298180  5.1066
1144 29.0323132 26.6129148 29.8387165 33.2661194023212812 30.5542
2277 55.8468288 58.0645254 51.2097253 51.0081341657192448 53.8031
361 12.298453 10.685562 12.500055 11.088766905856160 10.5361
U = 4496  1.7762496  1.7480496  1.6976496  1.6855635013559600  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
621  0.201600023662872  0.0037
63000034088292  0.0054
64000048406056  0.0076
650001  0.201667796512  0.0107
66000093717520  0.0148
670000127923728  0.0201
681  0.2016000172518652  0.0272
6901  0.201600229959256  0.0362
701  0.20161  0.201600303102568  0.0477
71001  0.20160395185876  0.0622
721  0.2016000509855124  0.0803
731  0.20161  0.20161  0.20160651106144  0.1025
740000823287808  0.1296
752  0.403202  0.403201030988200  0.1624
762  0.40322  0.40321  0.20161  0.20161279004300  0.2014
772  0.40322  0.40321  0.20161  0.20161572168200  0.2476
7801  0.201601  0.20161915276928  0.3016
792  0.40325  1.00811  0.20161  0.20162312858508  0.3642
802  0.40323  0.60484  0.806502769074104  0.4361
817  1.41134  0.80652  0.40325  1.00813287427876  0.5177
822  0.40322  0.40323  0.60481  0.20163870662368  0.6095
839  1.81453  0.60481  0.20164  0.80654520438996  0.7119
845  1.00817  1.41135  1.00819  1.81455237248656  0.8247
856  1.20974  0.80653  0.60481  0.20166020098480  0.9480
867  1.41134  0.80655  1.00817  1.41136866482488  1.0813
872  0.403210  2.01617  1.41134  0.80657772102604  1.2239
885  1.00813  0.60489  1.81455  1.00818730942544  1.3749
897  1.41134  0.80657  1.41139  1.81459735066676  1.5330
907  1.41139  1.81457  1.41135  1.008110774819856  1.6968
9111  2.217711  2.21776  1.20976  1.209711838737216  1.8643
927  1.411312  2.41949  1.81457  1.411312913893708  2.0336
9310  2.01616  1.20977  1.411311  2.217713985920668  2.2025
949  1.81459  1.814513  2.621016  3.225815039510420  2.3684
9514  2.822613  2.62109  1.814515  3.024216058532536  2.5288
9611  2.217713  2.621021  4.233911  2.217717026650064  2.6813
9713  2.621013  2.621016  3.225817  3.427417927508472  2.8232
988  1.612911  2.217716  3.225819  3.830618745417740  2.9520
9914  2.822612  2.419418  3.629015  3.024219465543056  3.0654
10019  3.830620  4.032313  2.621017  3.427420074598356  3.1613
10113  2.621021  4.233915  3.024219  3.830620560978696  3.2379
10211  2.217717  3.427412  2.419416  3.225820915379072  3.2937
10313  2.621030  6.048413  2.621013  2.621021130820080  3.3276
10414  2.822613  2.621021  4.233924  4.838721203133328  3.3390
10519  3.830615  3.024216  3.225811  2.217721130820080  3.3276
10621  4.233916  3.225822  4.435518  3.629020915379072  3.2937
10722  4.435524  4.838720  4.032312  2.419420560978696  3.2379
10812  2.419415  3.024215  3.024213  2.621020074598356  3.1613
10921  4.233916  3.225818  3.629018  3.629019465543056  3.0654
1108  1.612921  4.233911  2.217717  3.427418745417740  2.9520
1119  1.814512  2.41949  1.814510  2.016117927508472  2.8232
11218  3.629012  2.419415  3.024214  2.822617026650064  2.6813
11311  2.217715  3.024213  2.621010  2.016116058532536  2.5288
11414  2.82269  1.814513  2.62109  1.814515039510420  2.3684
11510  2.016115  3.02428  1.612915  3.024213985920668  2.2025
11610  2.01615  1.008110  2.01617  1.411312913893708  2.0336
11712  2.41949  1.814511  2.217715  3.024211838737216  1.8643
11811  2.21773  0.60487  1.41138  1.612910774819856  1.6968
11910  2.01615  1.008110  2.01616  1.20979735066676  1.5330
1206  1.20975  1.008110  2.01619  1.81458730942544  1.3749
1214  0.80653  0.60488  1.61299  1.81457772102604  1.2239
1223  0.60483  0.60485  1.00815  1.00816866482488  1.0813
1236  1.20975  1.00817  1.41136  1.20976020098480  0.9480
1245  1.00813  0.60484  0.80652  0.40325237248656  0.8247
1255  1.00813  0.60482  0.40324  0.80654520438996  0.7119
1266  1.20972  0.40324  0.80654  0.80653870662368  0.6095
1271  0.20163  0.604803  0.60483287427876  0.5177
1282  0.40321  0.20161  0.20162  0.40322769074104  0.4361
1291  0.20162  0.4032002312858508  0.3642
1301  0.20161  0.20163  0.60481  0.20161915276928  0.3016
1313  0.60482  0.40321  0.20161  0.20161572168200  0.2476
1323  0.604801  0.20161  0.20161279004300  0.2014
133001  0.20161  0.20161030988200  0.1624
1341  0.2016002  0.4032823287808  0.1296
13501  0.201600651106144  0.1025
1361  0.20162  0.40321  0.20161  0.2016509855124  0.0803
1371  0.2016000395185876  0.0622
13801  0.20161  0.20161  0.2016303102568  0.0477
1390000229959256  0.0362
1400000172518652  0.0272
1410000127923728  0.0201
142000093717520  0.0148
143000067796512  0.0107
144000048406056  0.0076
145000034088292  0.0054
146000023662872  0.0037
147000016177656  0.0025
148000010885276  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 = 127496 104.0464496 103.2661496 104.2581496 104.4294635013559600 104.0000
TopMain

Spade length = s

Number of spades in hand

ValueNorthSouthWestEastTheoretical
04  0.80656  1.20979  1.81456  1.20978122425444  1.2791
132  6.451636  7.258131  6.250047  9.475850840366668  8.0062
2119 23.9919124 25.000093 18.750085 17.1371130732371432 20.5873
3139 28.0242135 27.2177147 29.6371145 29.2339181823183256 28.6330
4125 25.2016119 23.9919119 23.9919121 24.3952151519319380 23.8608
563 12.701657 11.491968 13.709761 12.298479181063676 12.4692
610  2.016114  2.822624  4.838726  5.241926393687892  4.1564
74  0.80652  0.40324  0.80655  1.00815598661068  0.8817
803  0.60481  0.20160740999259  0.1167
9000058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 14496  3.2056496  3.1694496  3.3347496  3.2903635013559600  3.2500
TopMain

Heart length = h

Number of hearts in hand

ValueNorthSouthWestEastTheoretical
04  0.806513  2.62107  1.41137  1.41138122425444  1.2791
141  8.266131  6.250037  7.459742  8.467750840366668  8.0062
2106 21.371098 19.7581102 20.5645105 21.1694130732371432 20.5873
3128 25.8065145 29.2339138 27.8226147 29.6371181823183256 28.6330
4137 27.6210126 25.4032122 24.5968109 21.9758151519319380 23.8608
555 11.088764 12.903255 11.088755 11.088779181063676 12.4692
624  4.838717  3.427427  5.443525  5.040326393687892  4.1564
702  0.40327  1.41135  1.00815598661068  0.8817
81  0.201601  0.20161  0.2016740999259  0.1167
9000058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 14496  3.2500496  3.2298496  3.3004496  3.2198635013559600  3.2500
TopMain

Diamond length = d

Number of diamonds in hand

ValueNorthSouthWestEastTheoretical
01  0.20161  0.201611  2.21774  0.80658122425444  1.2791
138  7.661328  5.645251 10.282343  8.669450840366668  8.0062
297 19.5565100 20.1613102 20.5645102 20.5645130732371432 20.5873
3153 30.8468148 29.8387153 30.8468145 29.2339181823183256 28.6330
4133 26.8145123 24.7984103 20.7661107 21.5726151519319380 23.8608
548  9.677470 14.112955 11.088767 13.508179181063676 12.4692
620  4.032320  4.032318  3.629024  4.838726393687892  4.1564
76  1.20976  1.20973  0.60484  0.80655598661068  0.8817
80000740999259  0.1167
9000058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 14496  3.2762496  3.3790496  3.0847496  3.2601635013559600  3.2500
TopMain

Club length = c

Number of clubs in hand

ValueNorthSouthWestEastTheoretical
05  1.00814  0.80656  1.20976  1.20978122425444  1.2791
139  7.862942  8.467738  7.661344  8.871050840366668  8.0062
288 17.7419100 20.1613104 20.9677104 20.9677130732371432 20.5873
3163 32.8629146 29.4355144 29.0323125 25.2016181823183256 28.6330
4112 22.5806125 25.2016113 22.7823132 26.6129151519319380 23.8608
567 13.508163 12.701656 11.290369 13.911379181063676 12.4692
620  4.03239  1.814528  5.645211  2.217726393687892  4.1564
72  0.40327  1.41137  1.41134  0.80655598661068  0.8817
80001  0.2016740999259  0.1167
9000058809465  0.0093
1000002613754  0.0004
11000057798  0.0000
120000507  0.0000
1300001  0.0000
U = 14496  3.2681496  3.2218496  3.2802496  3.2298635013559600  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
0135 27.2177163 32.8629148 29.8387145 29.2339197767203572 31.1438
160 12.096855 11.088744  8.871048  9.677463728659696 10.0358
2105 21.1694104 20.967789 17.943589 17.9435117497308188 18.5031
333  6.653230  6.048442  8.467737  7.459744251732564  6.9686
456 11.290351 10.282365 13.104857 11.491969892220632 11.0064
535  7.056523  4.637121  4.233933  6.653235355647184  5.5677
629  5.846821  4.233929  5.846830  6.048438137887788  6.0058
721  4.233926  5.241919  3.830615  3.024222333120524  3.5170
813  2.62107  1.411316  3.225819  3.830618324133672  2.8856
92  0.40326  1.20977  1.41138  1.612910700471262  1.6851
103  0.60485  1.00816  1.20975  1.00818001815952  1.2601
112  0.403206  1.20975  1.00813827056779  0.6027
122  0.40322  0.40322  0.40324  0.80652981489082  0.4695
13002  0.40321  0.2016911999088  0.1436
1402  0.403200907310781  0.1429
1501  0.201600194194611  0.0306
160000158762708  0.0250
17000012840295  0.0020
18000027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 24496  2.5948496  2.4335496  2.7964496  2.8327635013559600  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
0154 31.0484162 32.6613162 32.6613155 31.2500197767203572 31.1438
153 10.685543  8.669446  9.274245  9.072663728659696 10.0358
282 16.532389 17.943585 17.1371109 21.9758117497308188 18.5031
347  9.475827  5.443543  8.669440  8.064544251732564  6.9686
453 10.685569 13.911344  8.871042  8.467769892220632 11.0064
523  4.637125  5.040326  5.241923  4.637135355647184  5.5677
623  4.637132  6.451628  5.645226  5.241938137887788  6.0058
722  4.435514  2.822619  3.830617  3.427422333120524  3.5170
817  3.427415  3.024217  3.427415  3.024218324133672  2.8856
99  1.81457  1.41137  1.41138  1.612910700471262  1.6851
106  1.20978  1.612910  2.01615  1.00818001815952  1.2601
111  0.20161  0.20164  0.80656  1.20973827056779  0.6027
125  1.00813  0.60484  0.80654  0.80652981489082  0.4695
1301  0.201600911999088  0.1436
141  0.201601  0.20160907310781  0.1429
150000194194611  0.0306
160001  0.2016158762708  0.0250
17000012840295  0.0020
18000027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 24496  2.6996496  2.6532496  2.7359496  2.6472635013559600  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
0141 28.4274143 28.8306169 34.0726151 30.4435197767203572 31.1438
148  9.677447  9.475846  9.274254 10.887163728659696 10.0358
2104 20.967799 19.9597101 20.362993 18.7500117497308188 18.5031
346  9.274229  5.846828  5.645230  6.048444251732564  6.9686
459 11.895258 11.693555 11.088751 10.282369892220632 11.0064
525  5.040331  6.250025  5.040331  6.250035355647184  5.5677
627  5.443541  8.266119  3.830628  5.645238137887788  6.0058
716  3.225816  3.225821  4.233927  5.443522333120524  3.5170
812  2.41947  1.411315  3.024213  2.621018324133672  2.8856
93  0.60484  0.80657  1.41139  1.814510700471262  1.6851
108  1.612911  2.21775  1.00816  1.20978001815952  1.2601
112  0.40326  1.20972  0.40322  0.40323827056779  0.6027
123  0.60484  0.80652  0.40321  0.20162981489082  0.4695
131  0.201601  0.20160911999088  0.1436
141  0.2016000907310781  0.1429
150000194194611  0.0306
160000158762708  0.0250
17000012840295  0.0020
18000027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 24496  2.6552496  2.8085496  2.4798496  2.6714635013559600  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
0162 32.6613162 32.6613146 29.4355144 29.0323197767203572 31.1438
144  8.871056 11.290365 13.104838  7.661363728659696 10.0358
288 17.741988 17.741983 16.733998 19.7581117497308188 18.5031
332  6.451637  7.459735  7.056536  7.258144251732564  6.9686
459 11.895258 11.693552 10.483962 12.500069892220632 11.0064
523  4.637126  5.241929  5.846837  7.459735355647184  5.5677
631  6.250020  4.032334  6.854841  8.266138137887788  6.0058
719  3.830624  4.838712  2.419414  2.822622333120524  3.5170
821  4.23397  1.411315  3.02427  1.411318324133672  2.8856
911  2.21777  1.41137  1.41136  1.209710700471262  1.6851
103  0.60483  0.60489  1.81454  0.80658001815952  1.2601
112  0.40322  0.40322  0.40326  1.20973827056779  0.6027
121  0.20163  0.60486  1.209702981489082  0.4695
1303  0.604801  0.2016911999088  0.1436
14001  0.20162  0.4032907310781  0.1429
150000194194611  0.0306
160000158762708  0.0250
17000012840295  0.0020
18000027645475  0.0044
190000493506  0.0001
2000001516827  0.0002
22000048945  0.0000
240000468  0.0000
2600001  0.0000
U = 24496  2.6552496  2.4980496  2.7379496  2.7742635013559600  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
0000046  9.274253 10.685558 11.693549  9.879068236672504 10.7457
0000157 11.491973 14.717752 10.483948  9.677475422521980 11.8773
0001125  5.040329  5.846828  5.645237  7.459743018771796  6.7745
001114  0.80656  1.20979  1.81456  1.20978122425444  1.2791
0100032  6.451636  7.258128  5.645230  6.048438199411536  6.0155
0100112  2.419413  2.621016  3.225815  3.024216760560440  2.6394
010114  0.80656  1.20971  0.20165  1.00813910797436  0.6159
1000029  5.846827  5.443523  4.637123  4.637133507777940  5.2767
1000155 11.088756 11.290356 11.290353 10.685571592376960 11.2741
1001053 10.685554 10.887160 12.096864 12.903271592376960 11.2741
1001147  9.475836  7.258136  7.258138  7.661345896476704  7.2276
1010060 12.096847  9.475871 14.314563 12.701671592376960 11.2741
1010145  9.072643  8.669430  6.048434  6.854845896476704  7.2276
1011016  3.225811  2.217722  4.435519  3.830627459860220  4.3243
1011111  2.21776  1.20976  1.209712  2.419413804676016  2.1739
U = 15496 13.2339496 11.9677496 12.7702496 12.9879635013559600 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
0000048  9.677449  9.879051 10.282356 11.290368236672504 10.7457
0000165 13.104862 12.500067 13.508158 11.693575422521980 11.8773
0001136  7.258126  5.241930  6.048437  7.459743018771796  6.7745
001114  0.806513  2.62107  1.41137  1.41138122425444  1.2791
0100025  5.040342  8.467733  6.653231  6.250038199411536  6.0155
0100110  2.016110  2.01618  1.612914  2.822616760560440  2.6394
010111  0.20162  0.40323  0.60482  0.40323910797436  0.6159
1000028  5.645225  5.040320  4.032327  5.443533507777940  5.2767
1000172 14.516139  7.862964 12.903248  9.677471592376960 11.2741
1001049  9.879060 12.096856 11.290359 11.895271592376960 11.2741
1001136  7.258133  6.653239  7.862936  7.258145896476704  7.2276
1010052 10.483964 12.903256 11.290352 10.483971592376960 11.2741
1010133  6.653235  7.056534  6.854836  7.258145896476704  7.2276
1011015  3.024224  4.838719  3.830622  4.435527459860220  4.3243
1011122  4.435512  2.41949  1.814511  2.217713804676016  2.1739
U = 15496 12.7198496 12.6371496 12.4819496 12.3810635013559600 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
0000061 12.298452 10.483950 10.080643  8.669468236672504 10.7457
0000150 10.080658 11.693559 11.895264 12.903275422521980 11.8773
0001130  6.048426  5.241948  9.677433  6.653243018771796  6.7745
001111  0.20161  0.201611  2.21774  0.80658122425444  1.2791
0100031  6.250040  8.064525  5.040329  5.846838199411536  6.0155
0100115  3.024210  2.016111  2.217714  2.822616760560440  2.6394
010114  0.80652  0.40321  0.20165  1.00813910797436  0.6159
1000029  5.846828  5.645218  3.629024  4.838733507777940  5.2767
1000153 10.685556 11.290356 11.290367 13.508171592376960 11.2741
1001064 12.903271 14.314556 11.290360 12.096871592376960 11.2741
1001132  6.451643  8.669425  5.040328  5.645245896476704  7.2276
1010051 10.282348  9.677465 13.104862 12.500071592376960 11.2741
1010144  8.871032  6.451638  7.661340  8.064545896476704  7.2276
1011022  4.435518  3.629024  4.838715  3.024227459860220  4.3243
101119  1.814511  2.21779  1.81458  1.612913804676016  2.1739
U = 15496 12.7702496 12.8044496 12.3911496 12.7681635013559600 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
0000064 12.903258 11.693552 10.483942  8.467768236672504 10.7457
0000151 10.282359 11.895256 11.290358 11.693575422521980 11.8773
0001133  6.653235  7.056530  6.048436  7.258143018771796  6.7745
001115  1.00814  0.80656  1.20976  1.20978122425444  1.2791
0100034  6.854840  8.064535  7.056529  5.846838199411536  6.0155
0100114  2.822612  2.419417  3.427411  2.217716760560440  2.6394
0101106  1.20975  1.00814  0.80653910797436  0.6159
1000019  3.830620  4.032325  5.040323  4.637133507777940  5.2767
1000151 10.282367 13.508162 12.500047  9.475871592376960 11.2741
1001068 13.709754 10.887160 12.096858 11.693571592376960 11.2741
1001136  7.258132  6.451636  7.258128  5.645245896476704  7.2276
1010053 10.685553 10.685546  9.274265 13.104871592376960 11.2741
1010132  6.451636  7.258132  6.451656 11.290345896476704  7.2276
1011026  5.241912  2.419421  4.233924  4.838727459860220  4.3243
1011110  2.01618  1.612913  2.62109  1.814513804676016  2.1739
U = 15496 12.4919496 12.0746496 12.5948496 13.1794635013559600 12.5855
TopMain

Spade quality map = sq

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

ValueNorthSouthWestEastTheoretical
000000051 10.282353 10.685549  9.879059 11.895273006209045 11.4968
000000125  5.040331  6.250028  5.645217  3.427428760021745  4.5290
000001013  2.621027  5.443524  4.838721  4.233928760021745  4.5290
00000117  1.411308  1.61293  0.604810150595910  1.5985
000010022  4.435524  4.838713  2.621023  4.637128760021745  4.5290
00001016  1.20979  1.81457  1.41135  1.008110150595910  1.5985
00001109  1.81456  1.209713  2.62108  1.612910150595910  1.5985
00001112  0.40324  0.80651  0.20165  1.00813190187286  0.5024
000100027  5.443523  4.637124  4.838720  4.032328760021745  4.5290
00010014  0.806511  2.21776  1.20978  1.612910150595910  1.5985
00010108  1.61296  1.20976  1.20975  1.008110150595910  1.5985
00010113  0.60481  0.20162  0.40321  0.20163190187286  0.5024
00011006  1.209718  3.62907  1.411310  2.016110150595910  1.5985
00011018  1.61292  0.40324  0.80652  0.40323190187286  0.5024
00011102  0.40323  0.60483  0.60482  0.40323190187286  0.5024
000111101  0.201600886163135  0.1396
001000024  4.838720  4.032321  4.233923  4.637128760021745  4.5290
00100016  1.20977  1.41136  1.20977  1.411310150595910  1.5985
00100107  1.411310  2.016110  2.016116  3.225810150595910  1.5985
00100111  0.20162  0.40322  0.40321  0.20163190187286  0.5024
00101005  1.008110  2.01619  1.81456  1.209710150595910  1.5985
00101014  0.80654  0.80651  0.20161  0.20163190187286  0.5024
00101104  0.80652  0.40321  0.201603190187286  0.5024
001011102  0.40322  0.40321  0.2016886163135  0.1396
00110008  1.61298  1.612914  2.82268  1.612910150595910  1.5985
00110013  0.60483  0.60482  0.40323  0.60483190187286  0.5024
001101002  0.40323  0.60481  0.20163190187286  0.5024
00110110001  0.2016886163135  0.1396
00111003  0.60483  0.60483  0.60484  0.80653190187286  0.5024
00111011  0.20161  0.20161  0.20160886163135  0.1396
00111100000886163135  0.1396
00111111  0.2016000215553195  0.0339
010000024  4.838723  4.637125  5.040321  4.233928760021745  4.5290
010000110  2.01617  1.41135  1.00819  1.814510150595910  1.5985
01000108  1.61299  1.81459  1.81459  1.814510150595910  1.5985
01000111  0.20162  0.40323  0.60482  0.40323190187286  0.5024
01001009  1.814511  2.217710  2.016112  2.419410150595910  1.5985
01001013  0.60481  0.20164  0.80653  0.60483190187286  0.5024
01001103  0.60482  0.40321  0.20166  1.20973190187286  0.5024
01001111  0.20161  0.20162  0.40320886163135  0.1396
010100012  2.41947  1.41139  1.81458  1.612910150595910  1.5985
010100103  0.60482  0.40322  0.40323190187286  0.5024
01010103  0.60483  0.60481  0.20162  0.40323190187286  0.5024
01010111  0.201601  0.20161  0.2016886163135  0.1396
01011004  0.80653  0.60482  0.40322  0.40323190187286  0.5024
01011011  0.2016001  0.2016886163135  0.1396
010111001  0.20161  0.20160886163135  0.1396
01011110000215553195  0.0339
01100007  1.41139  1.81454  0.80658  1.612910150595910  1.5985
01100013  0.60486  1.20973  0.60482  0.40323190187286  0.5024
01100105  1.00813  0.60483  0.60486  1.20973190187286  0.5024
01100111  0.201604  0.80651  0.2016886163135  0.1396
01101002  0.40322  0.40321  0.20163  0.60483190187286  0.5024
0110101003  0.60481  0.2016886163135  0.1396
011011002  0.403201  0.2016886163135  0.1396
01101110000215553195  0.0339
01110001  0.20161  0.20163  0.60484  0.80653190187286  0.5024
01110014  0.8065001  0.2016886163135  0.1396
01110101  0.2016001  0.2016886163135  0.1396
01110110000215553195  0.0339
0111100001  0.20161  0.2016886163135  0.1396
01111010000215553195  0.0339
01111100000215553195  0.0339
0111111000045379620  0.0071
100000029  5.846822  4.435518  3.629024  4.838728760021745  4.5290
100000111  2.217713  2.621017  3.42746  1.209710150595910  1.5985
100001012  2.41949  1.814513  2.621011  2.217710150595910  1.5985
10000112  0.40323  0.60485  1.00812  0.40323190187286  0.5024
10001007  1.41136  1.20972  0.40329  1.814510150595910  1.5985
100010103  0.60484  0.80654  0.80653190187286  0.5024
10001104  0.80652  0.40322  0.40322  0.40323190187286  0.5024
10001111  0.201602  0.40320886163135  0.1396
100100010  2.01615  1.008112  2.419413  2.621010150595910  1.5985
10010013  0.60482  0.40323  0.60481  0.20163190187286  0.5024
10010101  0.20161  0.201603  0.60483190187286  0.5024
10010110000886163135  0.1396
10011002  0.40322  0.40322  0.40323  0.60483190187286  0.5024
10011011  0.20162  0.40321  0.20160886163135  0.1396
1001110001  0.20160886163135  0.1396
10011110001  0.2016215553195  0.0339
10100008  1.61295  1.00818  1.61297  1.411310150595910  1.5985
10100013  0.60484  0.80652  0.40322  0.40323190187286  0.5024
10100107  1.41132  0.40322  0.40322  0.40323190187286  0.5024
10100111  0.201601  0.20160886163135  0.1396
10101002  0.40322  0.40322  0.40324  0.80653190187286  0.5024
101010101  0.201600886163135  0.1396
101011001  0.20161  0.20163  0.6048886163135  0.1396
10101110000215553195  0.0339
10110003  0.60484  0.80651  0.20162  0.40323190187286  0.5024
1011001001  0.20161  0.2016886163135  0.1396
10110101  0.20161  0.20162  0.40321  0.2016886163135  0.1396
1011011001  0.20161  0.2016215553195  0.0339
10111000000886163135  0.1396
101110101  0.201600215553195  0.0339
10111100000215553195  0.0339
1011111000045379620  0.0071
11000007  1.41134  0.80655  1.00814  0.806510150595910  1.5985
11000012  0.403204  0.806503190187286  0.5024
11000101  0.201605  1.00813  0.60483190187286  0.5024
11000111  0.20163  0.60481  0.20161  0.2016886163135  0.1396
11001003  0.60481  0.20161  0.20163  0.60483190187286  0.5024
11001011  0.20161  0.201600886163135  0.1396
11001101  0.20161  0.201600886163135  0.1396
11001110001  0.2016215553195  0.0339
11010002  0.40321  0.20163  0.60482  0.40323190187286  0.5024
1101001001  0.20160886163135  0.1396
1101010001  0.20162  0.4032886163135  0.1396
11010110001  0.2016215553195  0.0339
110110001  0.20161  0.20162  0.4032886163135  0.1396
11011010000215553195  0.0339
11011100001  0.2016215553195  0.0339
1101111000045379620  0.0071
11100001  0.20161  0.20162  0.40322  0.40323190187286  0.5024
11100012  0.4032001  0.2016886163135  0.1396
111001002  0.40321  0.20160886163135  0.1396
11100110000215553195  0.0339
11101001  0.2016002  0.4032886163135  0.1396
11101010000215553195  0.0339
11101100000215553195  0.0339
1110111000045379620  0.0071
1111000001  0.20161  0.2016886163135  0.1396
11110011  0.2016000215553195  0.0339
11110101  0.20161  0.201600215553195  0.0339
1111011000045379620  0.0071
11111000000215553195  0.0339
1111101000045379620  0.0071
1111110000045379620  0.0071
111111100008145060  0.0013
U = 128496 32.9294496 28.7440496 32.2661496 33.0605635013559600 31.7500
TopMain

Heart quality map = hq

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

ValueNorthSouthWestEastTheoretical
000000059 11.895268 13.709752 10.483950 10.080673006209045 11.4968
000000115  3.024215  3.024222  4.435534  6.854828760021745  4.5290
000001020  4.032319  3.830621  4.233929  5.846828760021745  4.5290
00000116  1.209710  2.016116  3.225811  2.217710150595910  1.5985
000010032  6.451627  5.443523  4.637116  3.225828760021745  4.5290
00001014  0.80654  0.80658  1.612910  2.016110150595910  1.5985
00001109  1.81457  1.41135  1.00816  1.209710150595910  1.5985
00001113  0.60484  0.80652  0.40324  0.80653190187286  0.5024
000100018  3.629030  6.048422  4.435521  4.233928760021745  4.5290
00010016  1.209711  2.217711  2.21775  1.008110150595910  1.5985
00010109  1.81454  0.806510  2.01619  1.814510150595910  1.5985
00010112  0.40324  0.80652  0.40323  0.60483190187286  0.5024
000110014  2.82268  1.61295  1.008112  2.419410150595910  1.5985
00011011  0.20162  0.40324  0.80653  0.60483190187286  0.5024
00011102  0.40321  0.20162  0.40321  0.20163190187286  0.5024
00011110000886163135  0.1396
001000029  5.846816  3.225816  3.225824  4.838728760021745  4.5290
001000112  2.41947  1.411311  2.21777  1.411310150595910  1.5985
00100107  1.41137  1.411310  2.01617  1.411310150595910  1.5985
00100111  0.20161  0.20164  0.80651  0.20163190187286  0.5024
001010016  3.22584  0.806513  2.62108  1.612910150595910  1.5985
00101013  0.604804  0.80652  0.40323190187286  0.5024
00101105  1.00812  0.40322  0.403203190187286  0.5024
00101111  0.2016001  0.2016886163135  0.1396
00110008  1.61297  1.41137  1.41139  1.814510150595910  1.5985
00110011  0.20161  0.20162  0.40321  0.20163190187286  0.5024
00110101  0.20163  0.60482  0.40321  0.20163190187286  0.5024
00110112  0.4032000886163135  0.1396
00111001  0.20161  0.20162  0.403203190187286  0.5024
001110102  0.403203  0.6048886163135  0.1396
00111101  0.201601  0.20160886163135  0.1396
001111101  0.20161  0.20160215553195  0.0339
010000022  4.435520  4.032322  4.435517  3.427428760021745  4.5290
01000017  1.41133  0.604816  3.22587  1.411310150595910  1.5985
01000106  1.20977  1.41133  0.60488  1.612910150595910  1.5985
01000111  0.20164  0.80652  0.40324  0.80653190187286  0.5024
01001008  1.61298  1.61295  1.008113  2.621010150595910  1.5985
01001012  0.40322  0.40323  0.60483  0.60483190187286  0.5024
01001103  0.60482  0.40322  0.40322  0.40323190187286  0.5024
010011101  0.20161  0.20161  0.2016886163135  0.1396
01010005  1.008112  2.41949  1.814511  2.217710150595910  1.5985
01010015  1.00813  0.604801  0.20163190187286  0.5024
01010103  0.60483  0.60483  0.60483  0.60483190187286  0.5024
01010111  0.20163  0.604800886163135  0.1396
01011002  0.40324  0.80652  0.40322  0.40323190187286  0.5024
01011011  0.201601  0.20163  0.6048886163135  0.1396
01011100000886163135  0.1396
01011110000215553195  0.0339
011000010  2.016110  2.01618  1.61294  0.806510150595910  1.5985
01100011  0.20162  0.40324  0.80651  0.20163190187286  0.5024
01100101  0.20166  1.20973  0.60483  0.60483190187286  0.5024
0110011001  0.20161  0.2016886163135  0.1396
01101003  0.60481  0.20164  0.80655  1.00813190187286  0.5024
0110101001  0.20160886163135  0.1396
01101101  0.2016001  0.2016886163135  0.1396
0110111001  0.20160215553195  0.0339
01110004  0.80652  0.40321  0.20163  0.60483190187286  0.5024
011100101  0.20162  0.40320886163135  0.1396
01110100001  0.2016886163135  0.1396
0111011001  0.20160215553195  0.0339
011110001  0.20161  0.20162  0.4032886163135  0.1396
0111101001  0.20160215553195  0.0339
0111110001  0.20161  0.2016215553195  0.0339
0111111000045379620  0.0071
100000021  4.233922  4.435521  4.233929  5.846828760021745  4.5290
10000015  1.00818  1.61298  1.61295  1.008110150595910  1.5985
10000108  1.612918  3.62903  0.60484  0.806510150595910  1.5985
10000114  0.80654  0.80653  0.60483  0.60483190187286  0.5024
10001006  1.20972  0.403212  2.41941  0.201610150595910  1.5985
10001011  0.20164  0.80652  0.40324  0.80653190187286  0.5024
10001102  0.40325  1.00812  0.40325  1.00813190187286  0.5024
10001111  0.201602  0.40322  0.4032886163135  0.1396
10010007  1.41135  1.00816  1.209710  2.016110150595910  1.5985
10010014  0.80651  0.20164  0.80654  0.80653190187286  0.5024
10010104  0.80654  0.80653  0.60482  0.40323190187286  0.5024
1001011003  0.60480886163135  0.1396
10011004  0.80654  0.80651  0.20162  0.40323190187286  0.5024
1001101002  0.40320886163135  0.1396
10011101  0.20162  0.40321  0.20160886163135  0.1396
10011110000215553195  0.0339
101000010  2.01618  1.61299  1.81459  1.814510150595910  1.5985
101000104  0.80652  0.40324  0.80653190187286  0.5024
10100101  0.20162  0.40324  0.80651  0.20163190187286  0.5024
10100113  0.6048000886163135  0.1396
10101003  0.60487  1.41132  0.40321  0.20163190187286  0.5024
10101011  0.2016000886163135  0.1396
10101102  0.403202  0.40320886163135  0.1396
10101110000215553195  0.0339
101100001  0.20162  0.40323  0.60483190187286  0.5024
10110011  0.2016000886163135  0.1396
101101001  0.201601  0.2016886163135  0.1396
10110110000215553195  0.0339
10111000000886163135  0.1396
10111010000215553195  0.0339
10111100000215553195  0.0339
10111110001  0.201645379620  0.0071
11000006  1.20978  1.61297  1.41136  1.209710150595910  1.5985
11000012  0.40324  0.80651  0.20163  0.60483190187286  0.5024
11000101  0.20162  0.40323  0.60482  0.40323190187286  0.5024
1100011002  0.40321  0.2016886163135  0.1396
11001001  0.20162  0.40322  0.40321  0.20163190187286  0.5024
110010101  0.201603  0.6048886163135  0.1396
11001100001  0.2016886163135  0.1396
110011101  0.201600215553195  0.0339
11010002  0.40323  0.60483  0.60484  0.80653190187286  0.5024
11010012  0.4032001  0.2016886163135  0.1396
11010102  0.40322  0.403200886163135  0.1396
11010110001  0.2016215553195  0.0339
110110001  0.20161  0.20160886163135  0.1396
11011010000215553195  0.0339
11011100000215553195  0.0339
1101111000045379620  0.0071
11100007  1.41132  0.40323  0.60483  0.60483190187286  0.5024
11100010000886163135  0.1396
11100103  0.60481  0.201601  0.2016886163135  0.1396
11100110000215553195  0.0339
11101005  1.008101  0.20161  0.2016886163135  0.1396
11101010000215553195  0.0339
11101100000215553195  0.0339
1110111000045379620  0.0071
11110002  0.40325  1.00811  0.20161  0.2016886163135  0.1396
11110010001  0.2016215553195  0.0339
111101001  0.201600215553195  0.0339
1111011000045379620  0.0071
11111000000215553195  0.0339
1111101000045379620  0.0071
1111110000045379620  0.0071
111111100008145060  0.0013
U = 128496 31.7923496 32.9355496 31.0363496 31.2359635013559600 31.7500
TopMain

Diamond quality map = dq

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

ValueNorthSouthWestEastTheoretical
000000054 10.887155 11.088770 14.112953 10.685573006209045 11.4968
000000120  4.032322  4.435523  4.637124  4.838728760021745  4.5290
000001018  3.629023  4.637120  4.032316  3.225828760021745  4.5290
00000118  1.61294  0.806512  2.41944  0.806510150595910  1.5985
000010020  4.032321  4.233921  4.233923  4.637128760021745  4.5290
00001019  1.814511  2.21778  1.61295  1.008110150595910  1.5985
000011010  2.016114  2.82266  1.209712  2.419410150595910  1.5985
00001115  1.00814  0.80652  0.40322  0.40323190187286  0.5024
000100018  3.629013  2.621018  3.629026  5.241928760021745  4.5290
000100111  2.21776  1.20979  1.81456  1.209710150595910  1.5985
000101010  2.016113  2.62105  1.00818  1.612910150595910  1.5985
00010114  0.80657  1.41131  0.20161  0.20163190187286  0.5024
00011009  1.81455  1.00814  0.80657  1.411310150595910  1.5985
00011013  0.60482  0.40321  0.20164  0.80653190187286  0.5024
00011101  0.20163  0.60483  0.60483  0.60483190187286  0.5024
000111101  0.20162  0.40320886163135  0.1396
001000030  6.048416  3.225824  4.838725  5.040328760021745  4.5290
00100016  1.20976  1.209711  2.21777  1.411310150595910  1.5985
00100104  0.806510  2.01613  0.604813  2.621010150595910  1.5985
00100114  0.80653  0.60485  1.00813  0.60483190187286  0.5024
00101003  0.60489  1.814511  2.217710  2.016110150595910  1.5985
00101013  0.60481  0.20164  0.80653  0.60483190187286  0.5024
00101102  0.40323  0.60482  0.40323  0.60483190187286  0.5024
00101111  0.201602  0.40322  0.4032886163135  0.1396
00110009  1.81457  1.41136  1.20976  1.209710150595910  1.5985
00110013  0.604801  0.20163  0.60483190187286  0.5024
00110102  0.40325  1.00811  0.20166  1.20973190187286  0.5024
001101101  0.201601  0.2016886163135  0.1396
00111002  0.40322  0.40322  0.40321  0.20163190187286  0.5024
001110102  0.403201  0.2016886163135  0.1396
00111101  0.20162  0.403200886163135  0.1396
0011111001  0.20160215553195  0.0339
010000027  5.443532  6.451621  4.233924  4.838728760021745  4.5290
01000015  1.00817  1.41138  1.61297  1.411310150595910  1.5985
010001010  2.01618  1.61293  0.60486  1.209710150595910  1.5985
01000113  0.604801  0.20161  0.20163190187286  0.5024
01001006  1.20978  1.61298  1.61299  1.814510150595910  1.5985
01001014  0.80656  1.20971  0.201603190187286  0.5024
01001103  0.60481  0.20161  0.20161  0.20163190187286  0.5024
010011101  0.20161  0.20162  0.4032886163135  0.1396
01010007  1.411311  2.21779  1.814510  2.016110150595910  1.5985
01010012  0.40321  0.20165  1.00813  0.60483190187286  0.5024
01010104  0.80655  1.00813  0.60485  1.00813190187286  0.5024
010101101  0.20161  0.20161  0.2016886163135  0.1396
01011006  1.20973  0.60483  0.60483  0.60483190187286  0.5024
010110101  0.20161  0.20160886163135  0.1396
010111001  0.201602  0.4032886163135  0.1396
01011110000215553195  0.0339
01100007  1.411315  3.02428  1.61293  0.604810150595910  1.5985
01100011  0.20163  0.60482  0.40323  0.60483190187286  0.5024
01100101  0.20163  0.604801  0.20163190187286  0.5024
0110011001  0.20160886163135  0.1396
01101002  0.4032001  0.20163190187286  0.5024
01101011  0.20161  0.20161  0.20161  0.2016886163135  0.1396
0110110001  0.20162  0.4032886163135  0.1396
01101111  0.20161  0.201600215553195  0.0339
01110006  1.20973  0.60481  0.20164  0.80653190187286  0.5024
01110011  0.20161  0.20161  0.20161  0.2016886163135  0.1396
01110102  0.403201  0.20160886163135  0.1396
01110110001  0.2016215553195  0.0339
01111001  0.20162  0.403202  0.4032886163135  0.1396
011110101  0.201600215553195  0.0339
01111100000215553195  0.0339
0111111000045379620  0.0071
100000029  5.846820  4.032331  6.250031  6.250028760021745  4.5290
10000018  1.61294  0.80656  1.20977  1.411310150595910  1.5985
10000105  1.00814  0.80658  1.61297  1.411310150595910  1.5985
10000111  0.20164  0.80653  0.60485  1.00813190187286  0.5024
10001006  1.209710  2.01618  1.61297  1.411310150595910  1.5985
10001012  0.40321  0.201603  0.60483190187286  0.5024
10001103  0.60481  0.20165  1.00812  0.40323190187286  0.5024
10001111  0.20162  0.40322  0.40321  0.2016886163135  0.1396
10010008  1.61296  1.20979  1.81455  1.008110150595910  1.5985
10010014  0.80653  0.60482  0.40323  0.60483190187286  0.5024
10010103  0.60482  0.40322  0.40323  0.60483190187286  0.5024
10010111  0.20161  0.20161  0.20162  0.4032886163135  0.1396
10011001  0.20163  0.60482  0.40321  0.20163190187286  0.5024
1001101002  0.40321  0.2016886163135  0.1396
100111002  0.403201  0.2016886163135  0.1396
10011110000215553195  0.0339
101000014  2.82264  0.80656  1.209710  2.016110150595910  1.5985
10100013  0.60481  0.20163  0.60483  0.60483190187286  0.5024
10100105  1.00813  0.60481  0.20163  0.60483190187286  0.5024
1010011001  0.20162  0.4032886163135  0.1396
10101001  0.20162  0.40323  0.60482  0.40323190187286  0.5024
10101011  0.201602  0.40321  0.2016886163135  0.1396
10101101  0.20161  0.20161  0.20160886163135  0.1396
101011102  0.40321  0.20161  0.2016215553195  0.0339
101100002  0.40321  0.20164  0.80653190187286  0.5024
10110011  0.20162  0.40323  0.60480886163135  0.1396
1011010001  0.20162  0.4032886163135  0.1396
10110111  0.2016000215553195  0.0339
1011100001  0.20160886163135  0.1396
10111010000215553195  0.0339
10111100000215553195  0.0339
1011111000045379620  0.0071
11000008  1.61297  1.41138  1.61299  1.814510150595910  1.5985
11000013  0.60482  0.40323  0.60481  0.20163190187286  0.5024
11000101  0.20164  0.80652  0.40321  0.20163190187286  0.5024
1100011001  0.20160886163135  0.1396
11001005  1.008103  0.60481  0.20163190187286  0.5024
110010101  0.20163  0.60480886163135  0.1396
11001101  0.20161  0.201600886163135  0.1396
11001110000215553195  0.0339
11010002  0.40322  0.40326  1.20973  0.60483190187286  0.5024
110100102  0.403200886163135  0.1396
11010101  0.2016000886163135  0.1396
11010111  0.2016000215553195  0.0339
110110001  0.20162  0.40322  0.4032886163135  0.1396
11011010000215553195  0.0339
11011100000215553195  0.0339
1101111000045379620  0.0071
11100002  0.40324  0.80651  0.201603190187286  0.5024
111000101  0.201600886163135  0.1396
11100101  0.201601  0.20160886163135  0.1396
11100110000215553195  0.0339
11101001  0.20162  0.403201  0.2016886163135  0.1396
11101010000215553195  0.0339
111011001  0.201600215553195  0.0339
1110111000045379620  0.0071
11110001  0.20161  0.20161  0.20160886163135  0.1396
11110010000215553195  0.0339
11110100000215553195  0.0339
1111011000045379620  0.0071
11111000000215553195  0.0339
1111101000045379620  0.0071
1111110000045379620  0.0071
111111100008145060  0.0013
U = 128496 32.1815496 31.3306496 32.0766496 31.4113635013559600 31.7500
TopMain

Club quality map = cq

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

ValueNorthSouthWestEastTheoretical
000000052 10.483957 11.491943  8.669461 12.298473006209045 11.4968
000000126  5.241927  5.443522  4.435519  3.830628760021745  4.5290
000001025  5.040320  4.032322  4.435519  3.830628760021745  4.5290
000001112  2.419411  2.21779  1.81455  1.008110150595910  1.5985
000010023  4.637121  4.233928  5.645220  4.032328760021745  4.5290
00001017  1.411311  2.21778  1.612910  2.016110150595910  1.5985
000011010  2.01614  0.80657  1.41134  0.806510150595910  1.5985
00001111  0.20163  0.60484  0.80653  0.60483190187286  0.5024
000100019  3.830625  5.040323  4.637121  4.233928760021745  4.5290
00010013  0.604814  2.82266  1.209713  2.621010150595910  1.5985
000101014  2.82267  1.41138  1.61296  1.209710150595910  1.5985
00010113  0.604802  0.40321  0.20163190187286  0.5024
00011003  0.60486  1.209710  2.01615  1.008110150595910  1.5985
00011013  0.60483  0.604801  0.20163190187286  0.5024
00011101  0.20162  0.40326  1.20972  0.40323190187286  0.5024
000111102  0.40321  0.20161  0.2016886163135  0.1396
001000024  4.838731  6.250025  5.040318  3.629028760021745  4.5290
00100018  1.61298  1.61298  1.61295  1.008110150595910  1.5985
00100108  1.61295  1.00819  1.81458  1.612910150595910  1.5985
00100112  0.40323  0.60482  0.40321  0.20163190187286  0.5024
00101006  1.209710  2.016116  3.22586  1.209710150595910  1.5985
00101011  0.20164  0.80651  0.20163  0.60483190187286  0.5024
00101101  0.20165  1.00811  0.20163  0.60483190187286  0.5024
00101112  0.403201  0.20161  0.2016886163135  0.1396
001100010  2.01617  1.41137  1.41135  1.008110150595910  1.5985
00110012  0.40324  0.80656  1.20971  0.20163190187286  0.5024
00110102  0.40322  0.40324  0.80654  0.80653190187286  0.5024
0011011002  0.40321  0.2016886163135  0.1396
00111002  0.40322  0.403204  0.80653190187286  0.5024
00111010001  0.2016886163135  0.1396
00111101  0.20161  0.20162  0.40320886163135  0.1396
00111110000215553195  0.0339
010000025  5.040324  4.838729  5.846822  4.435528760021745  4.5290
01000017  1.41135  1.00818  1.61295  1.008110150595910  1.5985
01000107  1.41139  1.81458  1.61298  1.612910150595910  1.5985
010001102  0.40323  0.60483  0.60483190187286  0.5024
010010012  2.41949  1.81458  1.612911  2.217710150595910  1.5985
01001013  0.60482  0.40325  1.00814  0.80653190187286  0.5024
01001102  0.40322  0.40324  0.80651  0.20163190187286  0.5024
01001111  0.201601  0.20160886163135  0.1396
01010006  1.20979  1.81455  1.008110  2.016110150595910  1.5985
01010015  1.00814  0.80652  0.40322  0.40323190187286  0.5024
01010104  0.80652  0.40324  0.80652  0.40323190187286  0.5024
010101101  0.201601  0.2016886163135  0.1396
01011005  1.00812  0.40323  0.60482  0.40323190187286  0.5024
01011011  0.20161  0.20161  0.20162  0.4032886163135  0.1396
01011101  0.20161  0.20162  0.40320886163135  0.1396
01011110000215553195  0.0339
01100006  1.20976  1.20977  1.41138  1.612910150595910  1.5985
01100013  0.60484  0.80651  0.20162  0.40323190187286  0.5024
01100102  0.40323  0.60481  0.201603190187286  0.5024
01100112  0.403201  0.20160886163135  0.1396
01101006  1.20974  0.80652  0.40321  0.20163190187286  0.5024
0110101001  0.20160886163135  0.1396
0110110001  0.20161  0.2016886163135  0.1396
01101110000215553195  0.0339
01110003  0.604802  0.40323  0.60483190187286  0.5024
01110011  0.20161  0.201600886163135  0.1396
01110102  0.4032000886163135  0.1396
01110110000215553195  0.0339
011110001  0.20161  0.20161  0.2016886163135  0.1396
01111010001  0.2016215553195  0.0339
01111100000215553195  0.0339
0111111001  0.2016045379620  0.0071
100000029  5.846823  4.637121  4.233928  5.645228760021745  4.5290
10000014  0.806514  2.82269  1.814510  2.016110150595910  1.5985
10000105  1.00815  1.00816  1.209712  2.419410150595910  1.5985
10000113  0.60482  0.40322  0.40323  0.60483190187286  0.5024
10001006  1.20977  1.41133  0.60487  1.411310150595910  1.5985
10001015  1.0081001  0.20163190187286  0.5024
10001102  0.40324  0.80653  0.60484  0.80653190187286  0.5024
1000111002  0.40321  0.2016886163135  0.1396
10010005  1.00817  1.41135  1.008110  2.016110150595910  1.5985
10010013  0.604802  0.40325  1.00813190187286  0.5024
10010103  0.60483  0.60484  0.80652  0.40323190187286  0.5024
10010111  0.2016000886163135  0.1396
10011004  0.80652  0.40321  0.20162  0.40323190187286  0.5024
10011011  0.20161  0.20161  0.20161  0.2016886163135  0.1396
100111001  0.20161  0.20163  0.6048886163135  0.1396
10011110001  0.2016215553195  0.0339
10100005  1.00814  0.80657  1.411316  3.225810150595910  1.5985
10100013  0.60483  0.604802  0.40323190187286  0.5024
10100103  0.60483  0.60483  0.60483  0.60483190187286  0.5024
10100112  0.4032001  0.2016886163135  0.1396
10101001  0.201602  0.40325  1.00813190187286  0.5024
10101011  0.20161  0.201601  0.2016886163135  0.1396
1010110001  0.20162  0.4032886163135  0.1396
1010111001  0.20160215553195  0.0339
10110001  0.20164  0.80656  1.20972  0.40323190187286  0.5024
101100102  0.40321  0.20161  0.2016886163135  0.1396
10110102  0.40323  0.604800886163135  0.1396
10110110000215553195  0.0339
10111002  0.4032001  0.2016886163135  0.1396
101110101  0.201601  0.2016215553195  0.0339
10111100000215553195  0.0339
1011111000045379620  0.0071
11000006  1.20975  1.00817  1.41137  1.411310150595910  1.5985
11000011  0.201602  0.40322  0.40323190187286  0.5024
11000109  1.81451  0.20164  0.80654  0.80653190187286  0.5024
11000111  0.201601  0.20160886163135  0.1396
11001001  0.201601  0.20166  1.20973190187286  0.5024
11001010000886163135  0.1396
11001102  0.40321  0.20161  0.20160886163135  0.1396
1100111002  0.40320215553195  0.0339
11010003  0.60482  0.40323  0.60484  0.80653190187286  0.5024
11010012  0.403201  0.20160886163135  0.1396
11010101  0.20161  0.201601  0.2016886163135  0.1396
11010110000215553195  0.0339
110110002  0.403201  0.2016886163135  0.1396
11011010000215553195  0.0339
11011100000215553195  0.0339
1101111000045379620  0.0071
11100002  0.40324  0.80654  0.80652  0.40323190187286  0.5024
11100011  0.20161  0.20163  0.60480886163135  0.1396
11100100001  0.2016886163135  0.1396
11100110000215553195  0.0339
111010001  0.20161  0.20160886163135  0.1396
111010101  0.201600215553195  0.0339
11101100000215553195  0.0339
1110111000045379620  0.0071
11110001  0.2016001  0.2016886163135  0.1396
11110010000215553195  0.0339
11110100000215553195  0.0339
1111011000045379620  0.0071
1111100001  0.20160215553195  0.0339
1111101000045379620  0.0071
1111110000045379620  0.0071
111111100008145060  0.0013
U = 128496 31.7399496 29.0847496 31.1230496 35.0524635013559600 31.7500
TopMain

Spade x-card map = sx

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

ValueNorthSouthWestEastTheoretical
00000078 15.725886 17.338772 14.516183 16.7339101766230790 16.0258
00000125  5.040320  4.032327  5.443535  7.056538910617655  6.1275
00001029  5.846826  5.241930  6.048435  7.056538910617655  6.1275
0000116  1.20978  1.612913  2.621011  2.217713340783196  2.1009
00010052 10.483929  5.846828  5.645219  3.830638910617655  6.1275
00010116  3.225813  2.621015  3.02429  1.814513340783196  2.1009
0001109  1.81454  0.806512  2.419412  2.419413340783196  2.1009
0001113  0.60482  0.40321  0.20165  1.00814076350421  0.6419
00100024  4.838724  4.838724  4.838730  6.048438910617655  6.1275
0010018  1.612913  2.621010  2.016111  2.217713340783196  2.1009
00101015  3.024213  2.621013  2.62107  1.411313340783196  2.1009
0010114  0.80652  0.40323  0.60484  0.80654076350421  0.6419
00110017  3.427412  2.419410  2.01615  1.008113340783196  2.1009
0011014  0.80652  0.40323  0.60484  0.80654076350421  0.6419
0011105  1.00814  0.80654  0.80653  0.60484076350421  0.6419
0011111  0.201602  0.40322  0.40321101716330  0.1735
01000027  5.443535  7.056536  7.258132  6.451638910617655  6.1275
0100019  1.814514  2.82269  1.814512  2.419413340783196  2.1009
01001011  2.217710  2.016114  2.822610  2.016113340783196  2.1009
0100114  0.80652  0.40322  0.40325  1.00814076350421  0.6419
0101007  1.411310  2.016114  2.82268  1.612913340783196  2.1009
0101012  0.40323  0.60487  1.41133  0.60484076350421  0.6419
0101104  0.806502  0.40323  0.60484076350421  0.6419
01011102  0.40321  0.20162  0.40321101716330  0.1735
01100011  2.217711  2.217714  2.822612  2.419413340783196  2.1009
01100104  0.80658  1.61293  0.60484076350421  0.6419
0110101  0.20164  0.80652  0.40327  1.41134076350421  0.6419
01101101  0.20163  0.604801101716330  0.1735
0111001  0.20161  0.20161  0.20161  0.20164076350421  0.6419
011101001  0.20162  0.40321101716330  0.1735
0111100003  0.60481101716330  0.1735
0111111  0.2016000260932815  0.0411
10000036  7.258145  9.072628  5.645228  5.645238910617655  6.1275
10000112  2.41949  1.81458  1.61296  1.209713340783196  2.1009
10001013  2.621012  2.419410  2.01618  1.612913340783196  2.1009
1000112  0.40321  0.20164  0.80655  1.00814076350421  0.6419
1001007  1.411314  2.822610  2.016113  2.621013340783196  2.1009
1001014  0.80653  0.60484  0.80657  1.41134076350421  0.6419
1001101  0.20163  0.60482  0.403204076350421  0.6419
1001111  0.20161  0.201602  0.40321101716330  0.1735
10100013  2.62109  1.81459  1.81457  1.411313340783196  2.1009
1010012  0.40322  0.40324  0.80653  0.60484076350421  0.6419
1010102  0.40327  1.41134  0.80656  1.20974076350421  0.6419
1010111  0.20161  0.20161  0.20161  0.20161101716330  0.1735
1011002  0.40323  0.60484  0.80654  0.80654076350421  0.6419
10110101  0.20162  0.40321  0.20161101716330  0.1735
1011101  0.20161  0.201601  0.20161101716330  0.1735
1011110001  0.2016260932815  0.0411
1100005  1.00818  1.612912  2.419411  2.217713340783196  2.1009
1100014  0.80654  0.80651  0.20165  1.00814076350421  0.6419
1100102  0.40323  0.60484  0.80651  0.20164076350421  0.6419
1100112  0.403201  0.201601101716330  0.1735
1101003  0.60482  0.403202  0.40324076350421  0.6419
1101012  0.4032001  0.20161101716330  0.1735
1101101  0.201601  0.201601101716330  0.1735
1101111  0.2016000260932815  0.0411
1110003  0.60485  1.00814  0.80654  0.80654076350421  0.6419
111001001  0.20161  0.20161101716330  0.1735
1110102  0.40322  0.4032001101716330  0.1735
11101102  0.403200260932815  0.0411
11110003  0.60481  0.201601101716330  0.1735
1111010000260932815  0.0411
1111100000260932815  0.0411
111111000053524680  0.0084
U = 64496 14.9879496 16.7903496 15.7601496 15.4617635013559600 15.7500
TopMain

Heart x-card map = hx

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

ValueNorthSouthWestEastTheoretical
00000069 13.911377 15.524275 15.121078 15.7258101766230790 16.0258
00000131  6.250032  6.451636  7.258126  5.241938910617655  6.1275
00001030  6.048434  6.854828  5.645238  7.661338910617655  6.1275
0000119  1.814515  3.024213  2.621011  2.217713340783196  2.1009
00010029  5.846819  3.830619  3.830637  7.459738910617655  6.1275
00010115  3.024216  3.225810  2.01617  1.411313340783196  2.1009
00011010  2.016114  2.82267  1.41139  1.814513340783196  2.1009
0001117  1.41131  0.20161  0.20164  0.80654076350421  0.6419
00100025  5.040329  5.846830  6.048432  6.451638910617655  6.1275
00100115  3.02428  1.612910  2.01618  1.612913340783196  2.1009
0010107  1.411310  2.01619  1.81458  1.612913340783196  2.1009
0010111  0.20165  1.00813  0.60484  0.80654076350421  0.6419
00110013  2.621015  3.024213  2.62104  0.806513340783196  2.1009
0011014  0.806505  1.00814  0.80654076350421  0.6419
0011104  0.80655  1.00814  0.80657  1.41134076350421  0.6419
00111102  0.40321  0.20162  0.40321101716330  0.1735
01000030  6.048429  5.846837  7.459733  6.653238910617655  6.1275
01000111  2.21776  1.20977  1.41138  1.612913340783196  2.1009
01001012  2.419413  2.621014  2.822610  2.016113340783196  2.1009
0100114  0.80652  0.40321  0.20161  0.20164076350421  0.6419
01010012  2.419410  2.016113  2.62109  1.814513340783196  2.1009
0101014  0.80654  0.80653  0.60484  0.80654076350421  0.6419
0101102  0.40325  1.00814  0.80653  0.60484076350421  0.6419
0101112  0.40321  0.20161  0.20161  0.20161101716330  0.1735
01100017  3.42748  1.61299  1.81452  0.403213340783196  2.1009
0110015  1.00815  1.00815  1.00813  0.60484076350421  0.6419
01101005  1.00815  1.00816  1.20974076350421  0.6419
011011001  0.20161  0.20161101716330  0.1735
0111005  1.00813  0.60486  1.20973  0.60484076350421  0.6419
01110101  0.20162  0.40321  0.20161101716330  0.1735
01111002  0.403202  0.40321101716330  0.1735
011111001  0.20160260932815  0.0411
10000035  7.056535  7.056538  7.661340  8.064538910617655  6.1275
10000113  2.62104  0.806510  2.016111  2.217713340783196  2.1009
1000107  1.411311  2.21778  1.612913  2.621013340783196  2.1009
1000114  0.80651  0.20162  0.40323  0.60484076350421  0.6419
10010011  2.21778  1.612915  3.024211  2.217713340783196  2.1009
1001015  1.00811  0.20164  0.80654  0.80654076350421  0.6419
10011001  0.20162  0.40322  0.40324076350421  0.6419
10011101  0.20161  0.20161  0.20161101716330  0.1735
10100016  3.225811  2.21779  1.814512  2.419413340783196  2.1009
1010014  0.80653  0.604802  0.40324076350421  0.6419
1010103  0.60484  0.80651  0.20163  0.60484076350421  0.6419
1010111  0.20161  0.20161  0.20161  0.20161101716330  0.1735
1011001  0.20163  0.60485  1.00812  0.40324076350421  0.6419
1011011  0.20163  0.60483  0.604801101716330  0.1735
101110001  0.20161  0.20161101716330  0.1735
1011110000260932815  0.0411
1100009  1.814520  4.032310  2.01618  1.612913340783196  2.1009
11000105  1.00811  0.20162  0.40324076350421  0.6419
1100104  0.80653  0.60482  0.40322  0.40324076350421  0.6419
1100111  0.2016001  0.20161101716330  0.1735
1101002  0.40321  0.20161  0.20164  0.80654076350421  0.6419
1101012  0.403201  0.20163  0.60481101716330  0.1735
1101100001  0.20161101716330  0.1735
1101110000260932815  0.0411
1110001  0.20161  0.20166  1.20972  0.40324076350421  0.6419
1110011  0.20161  0.2016001101716330  0.1735
1110102  0.40321  0.201601  0.20161101716330  0.1735
11101101  0.201600260932815  0.0411
11110000001101716330  0.1735
111101001  0.20160260932815  0.0411
111110001  0.20160260932815  0.0411
111111000053524680  0.0084
U = 64496 15.7984496 15.6190496 16.0323496 15.5504635013559600 15.7500
TopMain

Diamond x-card map = dx

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

ValueNorthSouthWestEastTheoretical
00000078 15.725872 14.516185 17.137180 16.1290101766230790 16.0258
00000132  6.451635  7.056534  6.854829  5.846838910617655  6.1275
00001026  5.241930  6.048435  7.056529  5.846838910617655  6.1275
00001114  2.822611  2.21776  1.20976  1.209713340783196  2.1009
00010022  4.435528  5.645238  7.661329  5.846838910617655  6.1275
0001019  1.814513  2.621014  2.822615  3.024213340783196  2.1009
0001108  1.61297  1.41138  1.61297  1.411313340783196  2.1009
0001113  0.60482  0.40322  0.40322  0.40324076350421  0.6419
00100031  6.250023  4.637133  6.653228  5.645238910617655  6.1275
0010014  0.806510  2.016115  3.024213  2.621013340783196  2.1009
00101012  2.419414  2.82268  1.61299  1.814513340783196  2.1009
0010111  0.20165  1.00813  0.60484  0.80654076350421  0.6419
00110011  2.217713  2.62108  1.612916  3.225813340783196  2.1009
0011019  1.81454  0.80654  0.80652  0.40324076350421  0.6419
0011101  0.20163  0.60482  0.40325  1.00814076350421  0.6419
0011112  0.403201  0.20161  0.20161101716330  0.1735
01000040  8.064526  5.241924  4.838726  5.241938910617655  6.1275
0100019  1.81459  1.814512  2.41949  1.814513340783196  2.1009
01001015  3.024212  2.419411  2.217710  2.016113340783196  2.1009
0100112  0.40323  0.60487  1.41132  0.40324076350421  0.6419
01010016  3.225811  2.21777  1.411315  3.024213340783196  2.1009
0101018  1.61293  0.60483  0.604804076350421  0.6419
0101105  1.00817  1.41131  0.20165  1.00814076350421  0.6419
0101112  0.40322  0.4032001101716330  0.1735
01100013  2.62108  1.612911  2.21778  1.612913340783196  2.1009
0110013  0.60482  0.40322  0.40323  0.60484076350421  0.6419
0110104  0.80656  1.20971  0.20164  0.80654076350421  0.6419
0110110001  0.20161101716330  0.1735
0111003  0.60482  0.40322  0.40323  0.60484076350421  0.6419
011101001  0.20161  0.20161101716330  0.1735
0111101  0.20162  0.4032001101716330  0.1735
0111111  0.2016000260932815  0.0411
10000025  5.040331  6.250041  8.266134  6.854838910617655  6.1275
1000019  1.814516  3.22586  1.209710  2.016113340783196  2.1009
1000108  1.61299  1.81459  1.814512  2.419413340783196  2.1009
1000114  0.80656  1.20975  1.00811  0.20164076350421  0.6419
10010012  2.419411  2.21779  1.81459  1.814513340783196  2.1009
1001011  0.20161  0.20161  0.20165  1.00814076350421  0.6419
1001103  0.60481  0.20162  0.40326  1.20974076350421  0.6419
10011101  0.2016001101716330  0.1735
1010007  1.41137  1.411310  2.01619  1.814513340783196  2.1009
1010012  0.40325  1.00816  1.20975  1.00814076350421  0.6419
1010104  0.80658  1.61294  0.80658  1.61294076350421  0.6419
10101101  0.20161  0.201601101716330  0.1735
1011002  0.40324  0.80652  0.40324  0.80654076350421  0.6419
1011012  0.40321  0.2016001101716330  0.1735
1011102  0.40322  0.4032001101716330  0.1735
1011110000260932815  0.0411
11000012  2.419413  2.621010  2.016112  2.419413340783196  2.1009
1100012  0.40323  0.60481  0.20161  0.20164076350421  0.6419
11001004  0.80654  0.80655  1.00814076350421  0.6419
1100111  0.20161  0.20161  0.20161  0.20161101716330  0.1735
1101006  1.20973  0.60481  0.20163  0.60484076350421  0.6419
11010101  0.2016001101716330  0.1735
1101101  0.20161  0.201602  0.40321101716330  0.1735
1101110000260932815  0.0411
1110002  0.40322  0.40323  0.60483  0.60484076350421  0.6419
1110012  0.40321  0.2016001101716330  0.1735
1110101  0.201601  0.201601101716330  0.1735
1110110001  0.2016260932815  0.0411
1111002  0.4032001  0.20161101716330  0.1735
1111010000260932815  0.0411
1111101  0.201601  0.20161  0.2016260932815  0.0411
1111110001  0.201653524680  0.0084
U = 64496 15.8589496 16.3226496 14.4577496 16.3609635013559600 15.7500
TopMain

Club x-card map = cx

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

ValueNorthSouthWestEastTheoretical
00000070 14.112968 13.709787 17.540383 16.7339101766230790 16.0258
00000125  5.040326  5.241928  5.645236  7.258138910617655  6.1275
00001029  5.846831  6.250029  5.846829  5.846838910617655  6.1275
00001117  3.427415  3.02429  1.814513  2.621013340783196  2.1009
00010036  7.258139  7.862933  6.653223  4.637138910617655  6.1275
00010113  2.621011  2.21778  1.61297  1.411313340783196  2.1009
0001107  1.411313  2.62108  1.612911  2.217713340783196  2.1009
0001112  0.40326  1.20973  0.60484  0.80654076350421  0.6419
00100029  5.846826  5.241928  5.645238  7.661338910617655  6.1275
0010019  1.814517  3.42749  1.81458  1.612913340783196  2.1009
0010108  1.612910  2.01614  0.806511  2.217713340783196  2.1009
0010111  0.20164  0.80651  0.20163  0.60484076350421  0.6419
00110014  2.82266  1.209711  2.21779  1.814513340783196  2.1009
0011015  1.00815  1.00814  0.80651  0.20164076350421  0.6419
0011104  0.80652  0.40324  0.80653  0.60484076350421  0.6419
00111101  0.20161  0.201601101716330  0.1735
01000033  6.653225  5.040335  7.056523  4.637138910617655  6.1275
0100018  1.612912  2.41946  1.20979  1.814513340783196  2.1009
01001014  2.82269  1.814515  3.024215  3.024213340783196  2.1009
0100114  0.80652  0.40325  1.00812  0.40324076350421  0.6419
01010013  2.621011  2.21778  1.61299  1.814513340783196  2.1009
0101014  0.80653  0.60482  0.40323  0.60484076350421  0.6419
0101103  0.60484  0.80656  1.20972  0.40324076350421  0.6419
01011102  0.403201  0.20161101716330  0.1735
01100016  3.225817  3.42748  1.612912  2.419413340783196  2.1009
0110014  0.80653  0.60485  1.00812  0.40324076350421  0.6419
0110105  1.00812  0.40323  0.60486  1.20974076350421  0.6419
01101101  0.201601  0.20161101716330  0.1735
0111004  0.80652  0.40324  0.80652  0.40324076350421  0.6419
0111011  0.201601  0.20162  0.40321101716330  0.1735
0111100002  0.40321101716330  0.1735
01111101  0.201601  0.2016260932815  0.0411
10000032  6.451634  6.854838  7.661338  7.661338910617655  6.1275
1000018  1.612915  3.02428  1.61299  1.814513340783196  2.1009
10001011  2.21778  1.61297  1.411310  2.016113340783196  2.1009
1000113  0.60488  1.61294  0.80651  0.20164076350421  0.6419
1001009  1.814513  2.621010  2.016112  2.419413340783196  2.1009
1001013  0.60483  0.60486  1.20972  0.40324076350421  0.6419
1001104  0.80652  0.40325  1.00812  0.40324076350421  0.6419
1001111  0.201601  0.20161  0.20161101716330  0.1735
1010008  1.612915  3.024212  2.41948  1.612913340783196  2.1009
1010017  1.41134  0.80652  0.40323  0.60484076350421  0.6419
1010104  0.80651  0.20162  0.40322  0.40324076350421  0.6419
101011001  0.201601101716330  0.1735
1011003  0.60482  0.40322  0.40326  1.20974076350421  0.6419
101101001  0.201601101716330  0.1735
1011101  0.20160001101716330  0.1735
10111101  0.201600260932815  0.0411
11000010  2.01614  0.80657  1.41139  1.814513340783196  2.1009
1100012  0.40321  0.20167  1.41134  0.80654076350421  0.6419
1100103  0.604804  0.80655  1.00814076350421  0.6419
11001101  0.20161  0.201601101716330  0.1735
1101002  0.40322  0.40323  0.60482  0.40324076350421  0.6419
1101011  0.2016001  0.20161101716330  0.1735
1101103  0.6048001  0.20161101716330  0.1735
1101110000260932815  0.0411
1110002  0.40324  0.80652  0.40322  0.40324076350421  0.6419
1110011  0.20161  0.20162  0.40323  0.60481101716330  0.1735
11101002  0.40322  0.40322  0.40321101716330  0.1735
11101101  0.201600260932815  0.0411
111100003  0.60481  0.20161101716330  0.1735
1111010000260932815  0.0411
1111100001  0.2016260932815  0.0411
111111001  0.2016053524680  0.0084
U = 64496 15.7480496 15.3266496 16.1774496 15.7480635013559600 15.7500

General stats for 496 deals

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© 2018 Richard Pavlicek