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Here I enclose some results I have obtained using the simulation program.  On this page is a double dummy results of about 2.5 million hands

number of 1st hand found is 2467102 number of failure to find 1st hand is 0
average number of try to get 1st hand is 1.000 percent for 1st hands is 100.000%
number of 2nd hand found is 2467102 number of failure to find 2nd hand is 0
average number of try to get 2nd hand is 1.000 percent for 2nd hands is 100.000%
number of 3rd hand found is 2467102 number of failure to find 3rd hand is 0
average number of try to get 3rd hand is 1.000 percent for 3rd hands is 100.000%
number of 4th hand found is 2467102 number of failure to find 4th hand is 0
average number of try to get 4th hand is 1.000 percent for 4th hands is 100.000%
average number of try to get all four hands is 1.000
percent for all four hands is 100.000%

1st hand HCP statistic total sum is 2467102
HCP 0 = 8880 0.36% HCP 1 = 19375 0.79% HCP 2 = 33305 1.35% HCP 3 = 60538 2.45%
HCP 4 = 94739 3.84% HCP 5 = 128160 5.19% HCP 6 = 161145 6.53% HCP 7 = 199162 8.07%
HCP 8 = 219093 8.88% HCP 9 = 230106 9.33% HCP 10 = 232309 9.42% HCP 11 = 220854 8.95%
HCP 12 = 198606 8.05% HCP 13 = 170523 6.91% HCP 14 = 139571 5.66% HCP 15 = 109457 4.44%
HCP 16 = 81947 3.32% HCP 17 = 58379 2.37% HCP 18 = 39658 1.61% HCP 19 = 25537 1.04%
HCP 20 = 15845 0.64% HCP 21 = 9379 0.38% HCP 22 = 5309 0.22% HCP 23 = 2764 0.11%
HCP 24 = 1318 0.05% HCP 25 = 660 0.03% HCP 26 = 264 0.01% HCP 27 = 140 0.01%
HCP 28 = 47 0.00% HCP 29 = 23 0.00% HCP 30 = 9 0.00% HCP 31 = 0 0.00%
HCP 32 = 0 0.00% HCP 33 = 0 0.00% HCP 34 = 0 0.00% HCP 35 = 0 0.00%
2nd hand HCP statistic total sum is 2467102
HCP 0 = 8939 0.36% HCP 1 = 19563 0.79% HCP 2 = 33521 1.36% HCP 3 = 61018 2.47%
HCP 4 = 95251 3.86% HCP 5 = 127287 5.16% HCP 6 = 162209 6.57% HCP 7 = 199052 8.07%
HCP 8 = 219065 8.88% HCP 9 = 230835 9.36% HCP 10 = 231618 9.39% HCP 11 = 220396 8.93%
HCP 12 = 197932 8.02% HCP 13 = 169902 6.89% HCP 14 = 140825 5.71% HCP 15 = 108862 4.41%
HCP 16 = 81717 3.31% HCP 17 = 58438 2.37% HCP 18 = 39506 1.60% HCP 19 = 25703 1.04%
HCP 20 = 15807 0.64% HCP 21 = 9313 0.38% HCP 22 = 5057 0.20% HCP 23 = 2762 0.11%
HCP 24 = 1377 0.06% HCP 25 = 671 0.03% HCP 26 = 297 0.01% HCP 27 = 117 0.00%
HCP 28 = 48 0.00% HCP 29 = 11 0.00% HCP 30 = 3 0.00% HCP 31 = 0 0.00%
HCP 32 = 0 0.00% HCP 33 = 0 0.00% HCP 34 = 0 0.00% HCP 35 = 0 0.00%

Double Dummy statistics using binary file input
Input pbb file 1 is c:\Documents and Settings\Administrator.PTCSYSTEM\My Documents\Visual Studio Projects\brisDDc\PTCpbbn.PBB
Input pbb file 1 is 103618284 bytes long. # of hands is 2467102 .
North South results
** best contract(NT or suit) average trick is 8.440
0 = 0.00% 0.00% 1 = 0.02% 0.02% 2 = 0.20% 0.22% 3 = 0.87% 1.09% 4 = 2.46% 3.55%
5 = 5.39% 8.94% 6 = 9.50% 18.44% 7 = 13.85% 32.29% 8 = 17.20% 49.50% 9 = 17.89% 67.39%
10 = 15.35% 82.74% 11 = 10.49% 93.23% 12 = 5.30% 98.54% 13 = 1.46% 100.00%
total count is 2467102 average is 8.44 variance is 4.46 standard deviation is 2.11
Correlation coef SPLS is 0.9156 SPL is 0.8784 SPA is 0.8452 SP is 0.8452 SShort is 0.3436 SLong is 0.2527
Correlation coef HCLS is 0.8890 HCL is 0.8505 HCP is 0.8122 LTC is -0.7414 control is 0.7792
** best suit contract average trick is 8.424
0 = 0.00% 0.00% 1 = 0.02% 0.02% 2 = 0.20% 0.23% 3 = 0.88% 1.10% 4 = 2.49% 3.59%
5 = 5.46% 9.05% 6 = 9.57% 18.62% 7 = 13.95% 32.57% 8 = 17.28% 49.85% 9 = 17.88% 67.73%
10 = 15.25% 82.98% 11 = 10.35% 93.33% 12 = 5.22% 98.55% 13 = 1.45% 100.00%
total count is 2467102 average is 8.42 variance is 4.45 standard deviation is 2.11
Correlation coef SPLS is 0.9133 SPL is 0.8747 SPA is 0.8405 SP is 0.8405 SShort is 0.3494 SLong is 0.2574
Correlation coef HCLS is 0.8873 HCL is 0.8465 HCP is 0.8069 LTC is -0.7413 control is 0.7762
** no trump average trick is 6.058
0 = 1.54% 1.54% 1 = 3.57% 5.12% 2 = 5.86% 10.98% 3 = 8.21% 19.19% 4 = 10.48% 29.67%
5 = 12.53% 42.20% 6 = 14.14% 56.34% 7 = 13.19% 69.53% 8 = 11.22% 80.75% 9 = 7.71% 88.47%
10 = 5.34% 93.80% 11 = 3.45% 97.25% 12 = 2.06% 99.31% 13 = 0.69% 100.00%
total count is 2467102 average is 6.06 variance is 7.74 standard deviation is 2.78
Correlation coef SPLS is 0.8264 SPL is 0.8688 SPA is 0.8899 SP is 0.8899 SShort is -0.0276 SLong is -0.0232
Correlation coef HCLS is 0.7594 HCL is 0.8394 HCP is 0.8770 LTC is -0.5690 control is 0.8294
** spade average trick is 6.333
0 = 1.08% 1.08% 1 = 2.72% 3.80% 2 = 5.09% 8.89% 3 = 7.83% 16.72% 4 = 10.33% 27.04%
5 = 12.11% 39.16% 6 = 13.00% 52.16% 7 = 12.73% 64.88% 8 = 11.68% 76.57% 9 = 9.65% 86.22%
10 = 6.99% 93.21% 11 = 4.25% 97.47% 12 = 2.00% 99.46% 13 = 0.54% 100.00%
** heart average trick is 6.334
0 = 1.07% 1.07% 1 = 2.71% 3.78% 2 = 5.10% 8.88% 3 = 7.82% 16.70% 4 = 10.34% 27.04%
5 = 12.16% 39.20% 6 = 12.92% 52.12% 7 = 12.76% 64.88% 8 = 11.69% 76.57% 9 = 9.66% 86.23%
10 = 6.98% 93.21% 11 = 4.25% 97.46% 12 = 2.01% 99.47% 13 = 0.53% 100.00%
** diamond average trick is 6.332
0 = 1.07% 1.07% 1 = 2.72% 3.79% 2 = 5.09% 8.89% 3 = 7.81% 16.70% 4 = 10.34% 27.04%
5 = 12.15% 39.19% 6 = 13.01% 52.20% 7 = 12.75% 64.95% 8 = 11.66% 76.61% 9 = 9.62% 86.23%
10 = 6.97% 93.20% 11 = 4.28% 97.48% 12 = 2.00% 99.48% 13 = 0.52% 100.00%
** club average trick is 6.331
0 = 1.07% 1.07% 1 = 2.72% 3.80% 2 = 5.09% 8.89% 3 = 7.86% 16.74% 4 = 10.33% 27.07%
5 = 12.18% 39.25% 6 = 12.95% 52.19% 7 = 12.78% 64.97% 8 = 11.62% 76.59% 9 = 9.63% 86.22%
10 = 6.98% 93.20% 11 = 4.27% 97.47% 12 = 2.01% 99.48% 13 = 0.52% 100.00%

East West results
** best contract(NT or suit) average trick is 8.441
0 = 0.00% 0.00% 1 = 0.02% 0.02% 2 = 0.21% 0.23% 3 = 0.86% 1.09% 4 = 2.46% 3.55%
5 = 5.40% 8.96% 6 = 9.51% 18.47% 7 = 13.85% 32.32% 8 = 17.13% 49.45% 9 = 17.93% 67.38%
10 = 15.35% 82.73% 11 = 10.48% 93.21% 12 = 5.31% 98.52% 13 = 1.48% 100.00%
total count is 2467102 average is 8.44 variance is 4.46 standard deviation is 2.11
** best suit contract average trick is 8.424
0 = 0.00% 0.00% 1 = 0.02% 0.02% 2 = 0.21% 0.23% 3 = 0.87% 1.10% 4 = 2.50% 3.59%
5 = 5.46% 9.05% 6 = 9.59% 18.65% 7 = 13.96% 32.60% 8 = 17.19% 49.80% 9 = 17.91% 67.71%
10 = 15.25% 82.96% 11 = 10.34% 93.30% 12 = 5.22% 98.53% 13 = 1.47% 100.00%
total count is 2467102 average is 8.42 variance is 4.46 standard deviation is 2.11
** no trump average trick is 6.060
0 = 1.52% 1.52% 1 = 3.58% 5.10% 2 = 5.86% 10.96% 3 = 8.22% 19.17% 4 = 10.50% 29.68%
5 = 12.46% 42.13% 6 = 14.18% 56.31% 7 = 13.23% 69.54% 8 = 11.24% 80.78% 9 = 7.71% 88.49%
10 = 5.33% 93.82% 11 = 3.42% 97.24% 12 = 2.06% 99.30% 13 = 0.70% 100.00%
total count is 2467102 average is 6.06 variance is 7.73 standard deviation is 2.78
** spade average trick is 6.331
0 = 1.07% 1.07% 1 = 2.71% 3.78% 2 = 5.09% 8.87% 3 = 7.86% 16.73% 4 = 10.35% 27.08%
5 = 12.19% 39.27% 6 = 12.92% 52.20% 7 = 12.76% 64.96% 8 = 11.60% 76.57% 9 = 9.65% 86.22%
10 = 6.99% 93.20% 11 = 4.24% 97.45% 12 = 2.01% 99.46% 13 = 0.54% 100.00%
** heart average trick is 6.332
0 = 1.06% 1.06% 1 = 2.73% 3.79% 2 = 5.09% 8.88% 3 = 7.83% 16.71% 4 = 10.36% 27.07%
5 = 12.19% 39.26% 6 = 12.94% 52.20% 7 = 12.75% 64.95% 8 = 11.64% 76.59% 9 = 9.64% 86.23%
10 = 6.98% 93.21% 11 = 4.25% 97.45% 12 = 2.01% 99.46% 13 = 0.54% 100.00%
** diamond average trick is 6.334
0 = 1.05% 1.05% 1 = 2.72% 3.77% 2 = 5.12% 8.89% 3 = 7.80% 16.69% 4 = 10.32% 27.01%
5 = 12.16% 39.17% 6 = 13.02% 52.19% 7 = 12.75% 64.94% 8 = 11.64% 76.58% 9 = 9.64% 86.22%
10 = 6.96% 93.18% 11 = 4.27% 97.45% 12 = 2.01% 99.47% 13 = 0.53% 100.00%
** club average trick is 6.335
0 = 1.05% 1.05% 1 = 2.73% 3.77% 2 = 5.10% 8.87% 3 = 7.83% 16.70% 4 = 10.34% 27.05%
5 = 12.13% 39.18% 6 = 12.97% 52.15% 7 = 12.75% 64.89% 8 = 11.66% 76.55% 9 = 9.64% 86.19%
10 = 7.00% 93.19% 11 = 4.26% 97.45% 12 = 2.01% 99.46% 13 = 0.54% 100.00%

This is for both not vul
North south make 944968 38.30% 423.95 East west make 945035 38.31% -423.81
North south sac 289169 11.72% -200.34 East west sac 287875 11.67% 199.32
This is for NS vul
North south make 798285 32.36% 543.39 East west make 1192386 48.33% -388.40
North south sac 41818 1.70% -349.78 East west sac 434558 17.61% 392.12
This is for EW vul
North south make 1190802 48.27% 388.56 East west make 798770 32.38% -543.27
North south sac 435434 17.65% -391.72 East west sac 42041 1.70% 345.35
This is for both vul
North south make 1097221 44.48% 513.79 East west make 1098321 44.52% -513.13
North south sac 135883 5.51% -649.25 East west sac 135622 5.50% 645.82
North south cannot make any contract = 18.44% East West cannot make any contract = 18.47%
North south make partial contract = 50.84% East West make partial contract = 50.85%
North south make any game = 23.95% East West make any game = 23.90%
North south make any small slam = 5.30% East West make any small slam = 5.31%
North south make any grand slam = 1.46% East West make any grand slam = 1.48%
North south cannot make any NT contract = 56.34% East West cannot make any NT contract = 56.32%
North south make partial NT contract = 24.42% East West make partial NT contract = 24.47%
North south make NT game = 16.50% East West make NT game = 16.46%
North south make NT small slam = 2.06% East West make NT small slam = 2.06%
North south make NT grand slam = 0.69% East West make NT grand slam = 0.70%
North south NT makes more then suit = 16.24% East West NT makes more then suit = 16.16%
North south NT makes equal to suit = 3.67% East West NT makes equal to suit = 3.66%
North south NT makes less then suit = 80.10% East West NT makes less then suit = 80.18%

**************** Combine North and South hand statistic ****************
** spade high card point average HCP is 5.000
0 = 5.52% 5.52% 1 = 6.25% 11.77% 2 = 6.24% 18.01% 3 = 12.75% 30.76% 4 = 12.72% 43.48%
5 = 13.01% 56.49% 6 = 12.73% 69.22% 7 = 12.76% 81.99% 8 = 6.24% 88.22% 9 = 6.25% 94.48%
10 = 5.52% 100.00%
** heart high card point average HCP is 5.001
0 = 5.53% 5.53% 1 = 6.25% 11.78% 2 = 6.22% 18.00% 3 = 12.73% 30.73% 4 = 12.76% 43.49%
5 = 12.98% 56.47% 6 = 12.77% 69.24% 7 = 12.72% 81.96% 8 = 6.24% 88.21% 9 = 6.25% 94.46%
10 = 5.54% 100.00%
** diamond high card point average HCP is 5.000
0 = 5.52% 5.52% 1 = 6.22% 11.74% 2 = 6.23% 17.97% 3 = 12.79% 30.75% 4 = 12.76% 43.51%
5 = 12.99% 56.50% 6 = 12.77% 69.27% 7 = 12.76% 82.03% 8 = 6.25% 88.27% 9 = 6.21% 94.48%
10 = 5.52% 100.00%
** club high card point average HCP is 4.998
0 = 5.55% 5.55% 1 = 6.24% 11.79% 2 = 6.23% 18.02% 3 = 12.76% 30.78% 4 = 12.78% 43.56%
5 = 12.99% 56.55% 6 = 12.72% 69.27% 7 = 12.70% 81.97% 8 = 6.26% 88.23% 9 = 6.25% 94.48%
10 = 5.52% 100.00%
** space suit length average length is 6.501
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.40% 0.44% 3 = 2.17% 2.61% 4 = 7.32% 9.93%
5 = 16.19% 26.12% 6 = 23.81% 49.93% 7 = 23.92% 73.85% 8 = 16.21% 90.07% 9 = 7.33% 97.40%
10 = 2.16% 99.56% 11 = 0.40% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** heart suit length average length is 6.501
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.43% 3 = 2.17% 2.60% 4 = 7.33% 9.93%
5 = 16.20% 26.13% 6 = 23.83% 49.96% 7 = 23.89% 73.85% 8 = 16.16% 90.01% 9 = 7.36% 97.37%
10 = 2.19% 99.57% 11 = 0.39% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** diamond suit length average length is 6.500
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.44% 3 = 2.16% 2.59% 4 = 7.36% 9.95%
5 = 16.20% 26.15% 6 = 23.85% 50.00% 7 = 23.89% 73.89% 8 = 16.16% 90.06% 9 = 7.34% 97.39%
10 = 2.18% 99.57% 11 = 0.39% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** club suit length average length is 6.498
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.40% 0.44% 3 = 2.17% 2.61% 4 = 7.37% 9.98%
5 = 16.21% 26.20% 6 = 23.85% 50.04% 7 = 23.86% 73.90% 8 = 16.16% 90.06% 9 = 7.34% 97.40%
10 = 2.17% 99.56% 11 = 0.39% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%

**** (longest) Trump suit 0 = spade, 1 = heart, 2 = diamond, 3 = club, 4 = none

0 = 590128 23.92% 1 = 542766 22.00% 2 = 495111 20.07% 3 = 449543 18.22% 4 = 389554 15.79%
total count is 2467102

**** DD Trump suit 0 = spade, 1 = heart, 2 = diamond, 3 = club, 4 = none

0 = 675955 27.40% 1 = 568028 23.02% 2 = 473411 19.19% 3 = 392616 15.91% 4 = 357092 14.47%
total count is 2467102

**** total HCP
0 = 0 1 = 11 2 = 57 3 = 156 4 = 459 5 = 1091 6 = 2277 7 = 4552
8 = 8358 9 = 14568 10 = 23533 11 = 36623 12 = 51960 13 = 72714 14 = 95670 15 = 120637
16 = 145124 17 = 169073 18 = 186763 19 = 198377 20 = 203173 21 = 199531 22 = 185818 23 = 168460
24 = 145283 25 = 121053 26 = 95604 27 = 72368 28 = 52144 29 = 36417 30 = 23851 31 = 14405
32 = 8513 33 = 4559 34 = 2234 35 = 1022 36 = 441 37 = 161 38 = 52 39 = 9
40 = 1
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.01% 4 = 0.02% 5 = 0.04% 6 = 0.09% 7 = 0.18%
8 = 0.34% 9 = 0.59% 10 = 0.95% 11 = 1.48% 12 = 2.11% 13 = 2.95% 14 = 3.88% 15 = 4.89%
16 = 5.88% 17 = 6.85% 18 = 7.57% 19 = 8.04% 20 = 8.24% 21 = 8.09% 22 = 7.53% 23 = 6.83%
24 = 5.89% 25 = 4.91% 26 = 3.88% 27 = 2.93% 28 = 2.11% 29 = 1.48% 30 = 0.97% 31 = 0.58%
32 = 0.35% 33 = 0.18% 34 = 0.09% 35 = 0.04% 36 = 0.02% 37 = 0.01% 38 = 0.00% 39 = 0.00%
40 = 0.00%
average HCP is 19.999
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.01% 4 = 0.03% 5 = 0.07% 6 = 0.16% 7 = 0.35%
8 = 0.69% 9 = 1.28% 10 = 2.23% 11 = 3.72% 12 = 5.82% 13 = 8.77% 14 = 12.65% 15 = 17.54%
16 = 23.42% 17 = 30.27% 18 = 37.84% 19 = 45.88% 20 = 54.12% 21 = 62.21% 22 = 69.74% 23 = 76.57%
24 = 82.46% 25 = 87.36% 26 = 91.24% 27 = 94.17% 28 = 96.28% 29 = 97.76% 30 = 98.73% 31 = 99.31%
32 = 99.66% 33 = 99.84% 34 = 99.93% 35 = 99.97% 36 = 99.99% 37 = 100.00% 38 = 100.00% 39 = 100.00%
40 = 100.00%
total count is 2467102 average is 20.00 variance is 22.75 standard deviation is 4.77

**** Long suit point
0 = 329461 1 = 702602 2 = 700334 3 = 441714 4 = 200291 5 = 69560 6 = 18804 7 = 3696
8 = 562 9 = 73 10 = 4 11 = 1 12 = 0 13 = 0 14 = 0 15 = 0
16 = 0 17 = 0 18 = 0 19 = 0
total count is 2467102
0 = 13.35% 1 = 28.48% 2 = 28.39% 3 = 17.90% 4 = 8.12% 5 = 2.82% 6 = 0.76% 7 = 0.15%
8 = 0.02% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00%
average long suit point is 1.914
**** total short suit point
0 = 518263 1 = 397649 2 = 587293 3 = 483371 4 = 263328 5 = 122233 6 = 55539 7 = 22795
8 = 10402 9 = 4077 10 = 1322 11 = 590 12 = 135 13 = 77 14 = 19 15 = 6
16 = 2 17 = 0 18 = 1 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2467102
0 = 21.01% 1 = 16.12% 2 = 23.80% 3 = 19.59% 4 = 10.67% 5 = 4.95% 6 = 2.25% 7 = 0.92%
8 = 0.42% 9 = 0.17% 10 = 0.05% 11 = 0.02% 12 = 0.01% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00% 20 = 0.00% 21 = 0.00% 22 = 0.00% 23 = 0.00%
average short suit point is 2.157
**** total HCL high card plus length point
0 = 0 1 = 3 2 = 11 3 = 57 4 = 137 5 = 384 6 = 824 7 = 1748
8 = 3540 9 = 6250 10 = 10808 11 = 17974 12 = 27610 13 = 40716 14 = 56974 15 = 76593
16 = 99197 17 = 122177 18 = 145423 19 = 166077 20 = 181872 21 = 192539 22 = 196570 23 = 192242
24 = 180337 25 = 163398 26 = 141467 27 = 118591 28 = 95299 29 = 73366 30 = 53845 31 = 38417
32 = 25453 33 = 16136 34 = 9804 35 = 5651 36 = 2892 37 = 1541 38 = 702 39 = 297
40 = 117 41 = 44 42 = 18 43 = 0 44 = 1 45 = 0 46 = 0 47 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.02% 6 = 0.03% 7 = 0.07%
8 = 0.14% 9 = 0.25% 10 = 0.44% 11 = 0.73% 12 = 1.12% 13 = 1.65% 14 = 2.31% 15 = 3.10%
16 = 4.02% 17 = 4.95% 18 = 5.89% 19 = 6.73% 20 = 7.37% 21 = 7.80% 22 = 7.97% 23 = 7.79%
24 = 7.31% 25 = 6.62% 26 = 5.73% 27 = 4.81% 28 = 3.86% 29 = 2.97% 30 = 2.18% 31 = 1.56%
32 = 1.03% 33 = 0.65% 34 = 0.40% 35 = 0.23% 36 = 0.12% 37 = 0.06% 38 = 0.03% 39 = 0.01%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average HCL (high card plus length point) is 21.913
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.02% 6 = 0.06% 7 = 0.13%
8 = 0.27% 9 = 0.53% 10 = 0.96% 11 = 1.69% 12 = 2.81% 13 = 4.46% 14 = 6.77% 15 = 9.88%
16 = 13.90% 17 = 18.85% 18 = 24.74% 19 = 31.47% 20 = 38.85% 21 = 46.65% 22 = 54.62% 23 = 62.41%
24 = 69.72% 25 = 76.34% 26 = 82.08% 27 = 86.88% 28 = 90.75% 29 = 93.72% 30 = 95.90% 31 = 97.46%
32 = 98.49% 33 = 99.15% 34 = 99.54% 35 = 99.77% 36 = 99.89% 37 = 99.95% 38 = 99.98% 39 = 99.99%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 21.91 variance is 24.47 standard deviation is 4.95

**** total point include HCP long suit and short suit point
0 = 0 1 = 2 2 = 7 3 = 26 4 = 62 5 = 170 6 = 364 7 = 807
8 = 1681 9 = 2994 10 = 5399 11 = 8996 12 = 14354 13 = 22194 14 = 32224 15 = 45152
16 = 60553 17 = 78476 18 = 98738 19 = 119095 20 = 138574 21 = 155351 22 = 169847 23 = 178437
24 = 181673 25 = 179417 26 = 170510 27 = 156415 28 = 138496 29 = 119604 30 = 99718 31 = 80731
32 = 62085 33 = 46578 34 = 33933 35 = 23525 36 = 15904 37 = 10195 38 = 6326 39 = 3734
40 = 2208 41 = 1174 42 = 657 43 = 362 44 = 184 45 = 84 46 = 57 47 = 19
48 = 5 49 = 5 50 = 0 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.01% 6 = 0.01% 7 = 0.03%
8 = 0.07% 9 = 0.12% 10 = 0.22% 11 = 0.36% 12 = 0.58% 13 = 0.90% 14 = 1.31% 15 = 1.83%
16 = 2.45% 17 = 3.18% 18 = 4.00% 19 = 4.83% 20 = 5.62% 21 = 6.30% 22 = 6.88% 23 = 7.23%
24 = 7.36% 25 = 7.27% 26 = 6.91% 27 = 6.34% 28 = 5.61% 29 = 4.85% 30 = 4.04% 31 = 3.27%
32 = 2.52% 33 = 1.89% 34 = 1.38% 35 = 0.95% 36 = 0.64% 37 = 0.41% 38 = 0.26% 39 = 0.15%
40 = 0.09% 41 = 0.05% 42 = 0.03% 43 = 0.01% 44 = 0.01% 45 = 0.00% 46 = 0.00% 47 = 0.00%
48 = 0.00% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average total point is 24.070
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.01% 6 = 0.03% 7 = 0.06%
8 = 0.13% 9 = 0.25% 10 = 0.47% 11 = 0.83% 12 = 1.41% 13 = 2.31% 14 = 3.62% 15 = 5.45%
16 = 7.90% 17 = 11.08% 18 = 15.09% 19 = 19.91% 20 = 25.53% 21 = 31.83% 22 = 38.71% 23 = 45.94%
24 = 53.31% 25 = 60.58% 26 = 67.49% 27 = 73.83% 28 = 79.45% 29 = 84.29% 30 = 88.34% 31 = 91.61%
32 = 94.12% 33 = 96.01% 34 = 97.39% 35 = 98.34% 36 = 98.99% 37 = 99.40% 38 = 99.66% 39 = 99.81%
40 = 99.90% 41 = 99.94% 42 = 99.97% 43 = 99.99% 44 = 99.99% 45 = 100.00% 46 = 100.00% 47 = 100.00%
48 = 100.00% 49 = 100.00% 50 = 100.00% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%
total count is 2467102 average is 24.07 variance is 28.77 standard deviation is 5.36

**** special point count
0 = 0 1 = 11 2 = 102 3 = 403 4 = 659 5 = 923 6 = 1675 7 = 3590
8 = 5227 9 = 8191 10 = 10899 11 = 16457 12 = 21355 13 = 32539 14 = 38928 15 = 48544
16 = 56016 17 = 76126 18 = 83653 19 = 101431 20 = 108148 21 = 120311 22 = 123216 23 = 145290
24 = 142538 25 = 144723 26 = 137792 27 = 141154 28 = 128390 29 = 128033 30 = 113705 31 = 98663
32 = 84160 33 = 78498 34 = 64048 35 = 52047 36 = 40358 37 = 31532 38 = 23635 39 = 18598
40 = 13334 41 = 8263 42 = 5452 43 = 3767 44 = 2314 45 = 1197 46 = 653 47 = 340
48 = 152 49 = 52 50 = 10 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.02% 4 = 0.03% 5 = 0.04% 6 = 0.07% 7 = 0.15%
8 = 0.21% 9 = 0.33% 10 = 0.44% 11 = 0.67% 12 = 0.87% 13 = 1.32% 14 = 1.58% 15 = 1.97%
16 = 2.27% 17 = 3.09% 18 = 3.39% 19 = 4.11% 20 = 4.38% 21 = 4.88% 22 = 4.99% 23 = 5.89%
24 = 5.78% 25 = 5.87% 26 = 5.59% 27 = 5.72% 28 = 5.20% 29 = 5.19% 30 = 4.61% 31 = 4.00%
32 = 3.41% 33 = 3.18% 34 = 2.60% 35 = 2.11% 36 = 1.64% 37 = 1.28% 38 = 0.96% 39 = 0.75%
40 = 0.54% 41 = 0.33% 42 = 0.22% 43 = 0.15% 44 = 0.09% 45 = 0.05% 46 = 0.03% 47 = 0.01%
48 = 0.01% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average special point is 25.122
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.02% 4 = 0.05% 5 = 0.09% 6 = 0.15% 7 = 0.30%
8 = 0.51% 9 = 0.84% 10 = 1.28% 11 = 1.95% 12 = 2.82% 13 = 4.14% 14 = 5.71% 15 = 7.68%
16 = 9.95% 17 = 13.04% 18 = 16.43% 19 = 20.54% 20 = 24.92% 21 = 29.80% 22 = 34.79% 23 = 40.68%
24 = 46.46% 25 = 52.33% 26 = 57.91% 27 = 63.63% 28 = 68.84% 29 = 74.03% 30 = 78.64% 31 = 82.64%
32 = 86.05% 33 = 89.23% 34 = 91.82% 35 = 93.93% 36 = 95.57% 37 = 96.85% 38 = 97.81% 39 = 98.56%
40 = 99.10% 41 = 99.44% 42 = 99.66% 43 = 99.81% 44 = 99.90% 45 = 99.95% 46 = 99.98% 47 = 99.99%
48 = 100.00% 49 = 100.00% 50 = 100.00% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%
total count is 2467102 average is 25.12 variance is 44.63 standard deviation is 6.68

**** special point with adjustment
0 = 0 1 = 11 2 = 102 3 = 403 4 = 659 5 = 923 6 = 1675 7 = 3590
8 = 5227 9 = 8191 10 = 10899 11 = 16457 12 = 21355 13 = 32539 14 = 38928 15 = 48544
16 = 56016 17 = 76126 18 = 83653 19 = 101431 20 = 108148 21 = 120311 22 = 123216 23 = 145290
24 = 142538 25 = 144723 26 = 137792 27 = 141154 28 = 128390 29 = 128033 30 = 113705 31 = 98663
32 = 84160 33 = 78498 34 = 64048 35 = 52047 36 = 40358 37 = 31532 38 = 23635 39 = 18598
40 = 13334 41 = 8263 42 = 5452 43 = 3767 44 = 2314 45 = 1197 46 = 653 47 = 340
48 = 152 49 = 52 50 = 10 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.02% 4 = 0.03% 5 = 0.04% 6 = 0.07% 7 = 0.15%
8 = 0.21% 9 = 0.33% 10 = 0.44% 11 = 0.67% 12 = 0.87% 13 = 1.32% 14 = 1.58% 15 = 1.97%
16 = 2.27% 17 = 3.09% 18 = 3.39% 19 = 4.11% 20 = 4.38% 21 = 4.88% 22 = 4.99% 23 = 5.89%
24 = 5.78% 25 = 5.87% 26 = 5.59% 27 = 5.72% 28 = 5.20% 29 = 5.19% 30 = 4.61% 31 = 4.00%
32 = 3.41% 33 = 3.18% 34 = 2.60% 35 = 2.11% 36 = 1.64% 37 = 1.28% 38 = 0.96% 39 = 0.75%
40 = 0.54% 41 = 0.33% 42 = 0.22% 43 = 0.15% 44 = 0.09% 45 = 0.05% 46 = 0.03% 47 = 0.01%
48 = 0.01% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average special point with adjustment is 25.122
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.02% 4 = 0.05% 5 = 0.09% 6 = 0.15% 7 = 0.30%
8 = 0.51% 9 = 0.84% 10 = 1.28% 11 = 1.95% 12 = 2.82% 13 = 4.14% 14 = 5.71% 15 = 7.68%
16 = 9.95% 17 = 13.04% 18 = 16.43% 19 = 20.54% 20 = 24.92% 21 = 29.80% 22 = 34.79% 23 = 40.68%
24 = 46.46% 25 = 52.33% 26 = 57.91% 27 = 63.63% 28 = 68.84% 29 = 74.03% 30 = 78.64% 31 = 82.64%
32 = 86.05% 33 = 89.23% 34 = 91.82% 35 = 93.93% 36 = 95.57% 37 = 96.85% 38 = 97.81% 39 = 98.56%
40 = 99.10% 41 = 99.44% 42 = 99.66% 43 = 99.81% 44 = 99.90% 45 = 99.95% 46 = 99.98% 47 = 99.99%
48 = 100.00% 49 = 100.00% 50 = 100.00% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%
total count is 2467102 average is 25.12 variance is 44.63 standard deviation is 6.68

**** Special Long suit point
0 = 329461 1 = 702602 2 = 700334 3 = 441714 4 = 200291 5 = 69560 6 = 18804 7 = 3696
8 = 562 9 = 73 10 = 4 11 = 1 12 = 0 13 = 0 14 = 0 15 = 0
16 = 0 17 = 0 18 = 0 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2467102
0 = 13.35% 1 = 28.48% 2 = 28.39% 3 = 17.90% 4 = 8.12% 5 = 2.82% 6 = 0.76% 7 = 0.15%
8 = 0.02% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00% 20 = 0.00% 21 = 0.00% 22 = 0.00% 23 = 0.00%
total count is 2467102 average is 1.91 variance is 1.74 standard deviation is 1.32

**** total special short suit point
0 = 518263 1 = 595568 2 = 693214 3 = 333931 4 = 182937 5 = 74075 6 = 38747 7 = 17457
8 = 7439 9 = 3524 10 = 1145 11 = 564 12 = 136 13 = 74 14 = 19 15 = 6
16 = 2 17 = 0 18 = 1 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2467102
0 = 21.01% 1 = 24.14% 2 = 28.10% 3 = 13.54% 4 = 7.42% 5 = 3.00% 6 = 1.57% 7 = 0.71%
8 = 0.30% 9 = 0.14% 10 = 0.05% 11 = 0.02% 12 = 0.01% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00% 20 = 0.00% 21 = 0.00% 22 = 0.00% 23 = 0.00%
total count is 2467102 average is 1.85 variance is 2.43 standard deviation is 1.56

**** special point with adjustment and long suit point
0 = 0 1 = 3 2 = 23 3 = 96 4 = 280 5 = 472 6 = 793 7 = 1406
8 = 2578 9 = 4102 10 = 6200 11 = 8968 12 = 12776 13 = 18043 14 = 24619 15 = 32333
16 = 40462 17 = 50363 18 = 61271 19 = 74274 20 = 86457 21 = 97911 22 = 109394 23 = 118319
24 = 128739 25 = 136403 26 = 140536 27 = 141621 28 = 139494 29 = 135517 30 = 130708 31 = 122088
32 = 110313 33 = 98595 34 = 86847 35 = 75354 36 = 63374 37 = 51731 38 = 41245 39 = 32358
40 = 24818 41 = 18447 42 = 13197 43 = 8981 44 = 6077 45 = 3966 46 = 2476 47 = 1444
48 = 857 49 = 439 50 = 195 51 = 82 52 = 40 53 = 16 54 = 0 55 = 1
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.02% 6 = 0.03% 7 = 0.06%
8 = 0.10% 9 = 0.17% 10 = 0.25% 11 = 0.36% 12 = 0.52% 13 = 0.73% 14 = 1.00% 15 = 1.31%
16 = 1.64% 17 = 2.04% 18 = 2.48% 19 = 3.01% 20 = 3.50% 21 = 3.97% 22 = 4.43% 23 = 4.80%
24 = 5.22% 25 = 5.53% 26 = 5.70% 27 = 5.74% 28 = 5.65% 29 = 5.49% 30 = 5.30% 31 = 4.95%
32 = 4.47% 33 = 4.00% 34 = 3.52% 35 = 3.05% 36 = 2.57% 37 = 2.10% 38 = 1.67% 39 = 1.31%
40 = 1.01% 41 = 0.75% 42 = 0.53% 43 = 0.36% 44 = 0.25% 45 = 0.16% 46 = 0.10% 47 = 0.06%
48 = 0.03% 49 = 0.02% 50 = 0.01% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average SPL is 27.036
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.02% 5 = 0.04% 6 = 0.07% 7 = 0.12%
8 = 0.23% 9 = 0.40% 10 = 0.65% 11 = 1.01% 12 = 1.53% 13 = 2.26% 14 = 3.26% 15 = 4.57%
16 = 6.21% 17 = 8.25% 18 = 10.73% 19 = 13.74% 20 = 17.25% 21 = 21.22% 22 = 25.65% 23 = 30.45%
24 = 35.66% 25 = 41.19% 26 = 46.89% 27 = 52.63% 28 = 58.28% 29 = 63.78% 30 = 69.08% 31 = 74.02%
32 = 78.50% 33 = 82.49% 34 = 86.01% 35 = 89.07% 36 = 91.64% 37 = 93.73% 38 = 95.40% 39 = 96.72%
40 = 97.72% 41 = 98.47% 42 = 99.00% 43 = 99.37% 44 = 99.61% 45 = 99.78% 46 = 99.88% 47 = 99.93%
48 = 99.97% 49 = 99.99% 50 = 99.99% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%
total count is 2467102 average is 27.04 variance is 46.34 standard deviation is 6.81

**** Special point with adjustment and long suit and short suit point
0 = 0 1 = 2 2 = 14 3 = 46 4 = 127 5 = 218 6 = 470 7 = 812
8 = 1372 9 = 2338 10 = 3646 11 = 5576 12 = 7999 13 = 11459 14 = 15707 15 = 21643
16 = 27955 17 = 35303 18 = 44085 19 = 54460 20 = 65158 21 = 76310 22 = 87382 23 = 98679
24 = 109162 25 = 118237 26 = 125740 27 = 131888 28 = 134130 29 = 136883 30 = 134818 31 = 130718
32 = 124542 33 = 116261 34 = 107007 35 = 96225 36 = 84543 37 = 73307 38 = 62865 39 = 51641
40 = 42128 41 = 33866 42 = 26084 43 = 20169 44 = 14643 45 = 10560 46 = 7401 47 = 4990
48 = 3356 49 = 2110 50 = 1312 51 = 764 52 = 451 53 = 261 54 = 123 55 = 88
56 = 36 57 = 21 58 = 7 59 = 1 60 = 3 61 = 0 62 = 0 63 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.01% 6 = 0.02% 7 = 0.03%
8 = 0.06% 9 = 0.09% 10 = 0.15% 11 = 0.23% 12 = 0.32% 13 = 0.46% 14 = 0.64% 15 = 0.88%
16 = 1.13% 17 = 1.43% 18 = 1.79% 19 = 2.21% 20 = 2.64% 21 = 3.09% 22 = 3.54% 23 = 4.00%
24 = 4.42% 25 = 4.79% 26 = 5.10% 27 = 5.35% 28 = 5.44% 29 = 5.55% 30 = 5.46% 31 = 5.30%
32 = 5.05% 33 = 4.71% 34 = 4.34% 35 = 3.90% 36 = 3.43% 37 = 2.97% 38 = 2.55% 39 = 2.09%
40 = 1.71% 41 = 1.37% 42 = 1.06% 43 = 0.82% 44 = 0.59% 45 = 0.43% 46 = 0.30% 47 = 0.20%
48 = 0.14% 49 = 0.09% 50 = 0.05% 51 = 0.03% 52 = 0.02% 53 = 0.01% 54 = 0.00% 55 = 0.00%
56 = 0.00% 57 = 0.00% 58 = 0.00% 59 = 0.00% 60 = 0.00% 61 = 0.00% 62 = 0.00% 63 = 0.00%
average SPLS is 28.888
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.02% 6 = 0.04% 7 = 0.07%
8 = 0.12% 9 = 0.22% 10 = 0.37% 11 = 0.59% 12 = 0.92% 13 = 1.38% 14 = 2.02% 15 = 2.90%
16 = 4.03% 17 = 5.46% 18 = 7.25% 19 = 9.45% 20 = 12.09% 21 = 15.19% 22 = 18.73% 23 = 22.73%
24 = 27.15% 25 = 31.95% 26 = 37.04% 27 = 42.39% 28 = 47.83% 29 = 53.37% 30 = 58.84% 31 = 64.14%
32 = 69.19% 33 = 73.90% 34 = 78.24% 35 = 82.14% 36 = 85.56% 37 = 88.53% 38 = 91.08% 39 = 93.18%
40 = 94.88% 41 = 96.26% 42 = 97.31% 43 = 98.13% 44 = 98.72% 45 = 99.15% 46 = 99.45% 47 = 99.65%
48 = 99.79% 49 = 99.88% 50 = 99.93% 51 = 99.96% 52 = 99.98% 53 = 99.99% 54 = 99.99% 55 = 100.00%
56 = 100.00% 57 = 100.00% 58 = 100.00% 59 = 100.00% 60 = 100.00% 61 = 100.00% 62 = 100.00% 63 = 100.00%
total count is 2467102 average is 28.89 variance is 50.29 standard deviation is 7.09

**** Losing trick count
0 = 0 1 = 0 2 = 0 3 = 0 4 = 0 5 = 1 6 = 15 7 = 112
8 = 705 9 = 3750 10 = 15595 11 = 50176 12 = 129708 13 = 258723 14 = 405934 15 = 498568
16 = 471007 17 = 340584 18 = 187081 19 = 76551 20 = 22873 21 = 4912 22 = 743 23 = 56
24 = 8
losing trick count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.00% 6 = 0.00% 7 = 0.00%
8 = 0.03% 9 = 0.15% 10 = 0.63% 11 = 2.03% 12 = 5.26% 13 = 10.49% 14 = 16.45% 15 = 20.21%
16 = 19.09% 17 = 13.81% 18 = 7.58% 19 = 3.10% 20 = 0.93% 21 = 0.20% 22 = 0.03% 23 = 0.00%
24 = 0.00%
average losing trick count is 15.223
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.00% 6 = 0.00% 7 = 0.01%
8 = 0.03% 9 = 0.19% 10 = 0.82% 11 = 2.85% 12 = 8.11% 13 = 18.60% 14 = 35.05% 15 = 55.26%
16 = 74.35% 17 = 88.16% 18 = 95.74% 19 = 98.84% 20 = 99.77% 21 = 99.97% 22 = 100.00% 23 = 100.00%
24 = 100.00%
total count is 2467102 average is 15.22 variance is 3.81 standard deviation is 1.95

**** Losing trick count for suit fit hands only
0 = 0 1 = 0 2 = 0 3 = 0 4 = 0 5 = 0 6 = 14 7 = 99
8 = 605 9 = 3318 10 = 13956 11 = 44799 12 = 115818 13 = 229649 14 = 356346 15 = 429546
16 = 394801 17 = 274376 18 = 142413 19 = 54059 20 = 14628 21 = 2771 22 = 334 23 = 14
24 = 2
losing trick count for suit fit only is 2077548
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.00% 6 = 0.00% 7 = 0.00%
8 = 0.03% 9 = 0.16% 10 = 0.67% 11 = 2.16% 12 = 5.57% 13 = 11.05% 14 = 17.15% 15 = 20.68%
16 = 19.00% 17 = 13.21% 18 = 6.85% 19 = 2.60% 20 = 0.70% 21 = 0.13% 22 = 0.02% 23 = 0.00%
24 = 0.00%
average losing trick count for suit fit only is 15.117
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.00% 6 = 0.00% 7 = 0.01%
8 = 0.03% 9 = 0.19% 10 = 0.87% 11 = 3.02% 12 = 8.60% 13 = 19.65% 14 = 36.80% 15 = 57.48%
16 = 76.48% 17 = 89.69% 18 = 96.54% 19 = 99.15% 20 = 99.85% 21 = 99.98% 22 = 100.00% 23 = 100.00%
24 = 100.00%

**** control count (A = 2, K = 1)
0 = 5103 1 = 27952 2 = 80559 3 = 179971 4 = 303784 5 = 407442 6 = 457528 7 = 407264
8 = 303465 9 = 180388 10 = 80595 11 = 27975 12 = 5076
control count is 2467102
0 = 0.21% 1 = 1.13% 2 = 3.27% 3 = 7.29% 4 = 12.31% 5 = 16.52% 6 = 18.55% 7 = 16.51%
8 = 12.30% 9 = 7.31% 10 = 3.27% 11 = 1.13% 12 = 0.21%
average control count is 6.000
0 = 0.21% 1 = 1.34% 2 = 4.61% 3 = 11.90% 4 = 24.21% 5 = 40.73% 6 = 59.27% 7 = 75.78%
8 = 88.08% 9 = 95.39% 10 = 98.66% 11 = 99.79% 12 = 100.00%
total count is 2467102 average is 6.00 variance is 4.39 standard deviation is 2.10

**** total trick distribution
77 = 259145 78 = 130409 79 = 0 710 = 0 711 = 0 712 = 0 713 = 0
87 = 129291 88 = 665639 89 = 282445 810 = 48005 811 = 3410 812 = 0 813 = 0
97 = 0 98 = 282507 99 = 288232 910 = 100915 911 = 18621 912 = 1579 913 = 41
107 = 0 108 = 48392 109 = 101304 1010 = 50015 1011 = 12607 1012 = 1615 1013 = 83
117 = 0 118 = 3321 119 = 18570 1110 = 12419 1111 = 3839 1112 = 581 1113 = 36
127 = 0 128 = 0 129 = 1579 1210 = 1595 1211 = 611 1212 = 121 1213 = 11
137 = 0 138 = 0 139 = 51 1310 = 70 1311 = 36 1312 = 7 1313 = 0
total count is 2467102
77 = 10.50% 78 = 5.29% 79 = 0.00% 710 = 0.00% 711 = 0.00% 712 = 0.00% 713 = 0.00%
87 = 5.24% 88 = 26.98% 89 = 11.45% 810 = 1.95% 811 = 0.14% 812 = 0.00% 813 = 0.00%
97 = 0.00% 98 = 11.45% 99 = 11.68% 910 = 4.09% 911 = 0.75% 912 = 0.06% 913 = 0.00%
107 = 0.00% 108 = 1.96% 109 = 4.11%1010 = 2.03%1011 = 0.51%1012 = 0.07%1013 = 0.00%
117 = 0.00% 118 = 0.13% 119 = 0.75%1110 = 0.50%1111 = 0.16%1112 = 0.02%1113 = 0.00%
127 = 0.00% 128 = 0.00% 129 = 0.06%1210 = 0.06%1211 = 0.02%1212 = 0.00%1213 = 0.00%
137 = 0.00% 138 = 0.00% 139 = 0.00%1310 = 0.00%1311 = 0.00%1312 = 0.00%1313 = 0.00%

**************** Combine East and West hand statistic ****************
** spade high card point average HCP is 5.000
0 = 5.52% 5.52% 1 = 6.25% 11.78% 2 = 6.24% 18.01% 3 = 12.76% 30.78% 4 = 12.73% 43.51%
5 = 13.01% 56.52% 6 = 12.72% 69.24% 7 = 12.75% 81.99% 8 = 6.24% 88.23% 9 = 6.25% 94.48%
10 = 5.52% 100.00%
** heart high card point average HCP is 4.999
0 = 5.54% 5.54% 1 = 6.25% 11.79% 2 = 6.24% 18.04% 3 = 12.72% 30.76% 4 = 12.77% 43.53%
5 = 12.98% 56.51% 6 = 12.76% 69.27% 7 = 12.73% 82.00% 8 = 6.22% 88.22% 9 = 6.25% 94.47%
10 = 5.53% 100.00%
** diamond high card point average HCP is 5.000
0 = 5.52% 5.52% 1 = 6.21% 11.73% 2 = 6.25% 17.97% 3 = 12.76% 30.73% 4 = 12.77% 43.50%
5 = 12.99% 56.49% 6 = 12.76% 69.25% 7 = 12.79% 82.03% 8 = 6.23% 88.26% 9 = 6.22% 94.48%
10 = 5.52% 100.00%
** club high card point average HCP is 5.002
0 = 5.52% 5.52% 1 = 6.25% 11.77% 2 = 6.26% 18.03% 3 = 12.70% 30.73% 4 = 12.72% 43.45%
5 = 12.99% 56.44% 6 = 12.78% 69.22% 7 = 12.76% 81.98% 8 = 6.23% 88.21% 9 = 6.24% 94.45%
10 = 5.55% 100.00%
** space suit length average length is 6.499
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.40% 0.44% 3 = 2.16% 2.60% 4 = 7.33% 9.93%
5 = 16.21% 26.15% 6 = 23.92% 50.07% 7 = 23.81% 73.88% 8 = 16.19% 90.07% 9 = 7.32% 97.39%
10 = 2.17% 99.56% 11 = 0.40% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** heart suit length average length is 6.499
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.43% 3 = 2.19% 2.63% 4 = 7.36% 9.99%
5 = 16.16% 26.15% 6 = 23.89% 50.04% 7 = 23.83% 73.87% 8 = 16.20% 90.07% 9 = 7.33% 97.40%
10 = 2.17% 99.57% 11 = 0.39% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** diamond suit length average length is 6.500
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.43% 3 = 2.18% 2.61% 4 = 7.34% 9.94%
5 = 16.16% 26.11% 6 = 23.89% 50.00% 7 = 23.85% 73.85% 8 = 16.20% 90.05% 9 = 7.36% 97.41%
10 = 2.16% 99.56% 11 = 0.39% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** club suit length average length is 6.502
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.44% 3 = 2.17% 2.60% 4 = 7.34% 9.94%
5 = 16.16% 26.10% 6 = 23.86% 49.96% 7 = 23.85% 73.80% 8 = 16.21% 90.02% 9 = 7.37% 97.39%
10 = 2.17% 99.56% 11 = 0.40% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%

**** (longest) Trump suit 0 = spade, 1 = heart, 2 = diamond, 3 = club, 4 = none

0 = 589678 23.90% 1 = 542333 21.98% 2 = 495822 20.10% 3 = 450833 18.27% 4 = 388436 15.74%
total count is 2467102

**** DD Trump suit 0 = spade, 1 = heart, 2 = diamond, 3 = club, 4 = none

0 = 676079 27.40% 1 = 567891 23.02% 2 = 474617 19.24% 3 = 393338 15.94% 4 = 355177 14.40%
total count is 2467102

**** total HCP
0 = 1 1 = 9 2 = 52 3 = 161 4 = 441 5 = 1022 6 = 2234 7 = 4559
8 = 8513 9 = 14405 10 = 23851 11 = 36417 12 = 52144 13 = 72368 14 = 95604 15 = 121053
16 = 145283 17 = 168460 18 = 185818 19 = 199531 20 = 203173 21 = 198377 22 = 186763 23 = 169073
24 = 145124 25 = 120637 26 = 95670 27 = 72714 28 = 51960 29 = 36623 30 = 23533 31 = 14568
32 = 8358 33 = 4552 34 = 2277 35 = 1091 36 = 459 37 = 156 38 = 57 39 = 11
40 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.01% 4 = 0.02% 5 = 0.04% 6 = 0.09% 7 = 0.18%
8 = 0.35% 9 = 0.58% 10 = 0.97% 11 = 1.48% 12 = 2.11% 13 = 2.93% 14 = 3.88% 15 = 4.91%
16 = 5.89% 17 = 6.83% 18 = 7.53% 19 = 8.09% 20 = 8.24% 21 = 8.04% 22 = 7.57% 23 = 6.85%
24 = 5.88% 25 = 4.89% 26 = 3.88% 27 = 2.95% 28 = 2.11% 29 = 1.48% 30 = 0.95% 31 = 0.59%
32 = 0.34% 33 = 0.18% 34 = 0.09% 35 = 0.04% 36 = 0.02% 37 = 0.01% 38 = 0.00% 39 = 0.00%
40 = 0.00%
average HCP is 20.001
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.01% 4 = 0.03% 5 = 0.07% 6 = 0.16% 7 = 0.34%
8 = 0.69% 9 = 1.27% 10 = 2.24% 11 = 3.72% 12 = 5.83% 13 = 8.76% 14 = 12.64% 15 = 17.54%
16 = 23.43% 17 = 30.26% 18 = 37.79% 19 = 45.88% 20 = 54.12% 21 = 62.16% 22 = 69.73% 23 = 76.58%
24 = 82.46% 25 = 87.35% 26 = 91.23% 27 = 94.18% 28 = 96.28% 29 = 97.77% 30 = 98.72% 31 = 99.31%
32 = 99.65% 33 = 99.84% 34 = 99.93% 35 = 99.97% 36 = 99.99% 37 = 100.00% 38 = 100.00% 39 = 100.00%
40 = 100.00%
total count is 2467102 average is 20.00 variance is 22.75 standard deviation is 4.77

**** Long suit point
0 = 328305 1 = 702601 2 = 700681 3 = 443037 4 = 200342 5 = 69100 6 = 18576 7 = 3826
8 = 584 9 = 48 10 = 2 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
16 = 0 17 = 0 18 = 0 19 = 0
total count is 2467102
0 = 13.31% 1 = 28.48% 2 = 28.40% 3 = 17.96% 4 = 8.12% 5 = 2.80% 6 = 0.75% 7 = 0.16%
8 = 0.02% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00%
average long suit point is 1.915
**** total short suit point
0 = 517037 1 = 397215 2 = 589475 3 = 483537 4 = 262210 5 = 122376 6 = 55828 7 = 22895
8 = 10507 9 = 3936 10 = 1261 11 = 614 12 = 120 13 = 53 14 = 23 15 = 13
16 = 2 17 = 0 18 = 0 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2467102
0 = 20.96% 1 = 16.10% 2 = 23.89% 3 = 19.60% 4 = 10.63% 5 = 4.96% 6 = 2.26% 7 = 0.93%
8 = 0.43% 9 = 0.16% 10 = 0.05% 11 = 0.02% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00% 20 = 0.00% 21 = 0.00% 22 = 0.00% 23 = 0.00%
average short suit point is 2.158
**** total HCL high card plus length point
0 = 1 1 = 1 2 = 21 3 = 38 4 = 114 5 = 350 6 = 856 7 = 1653
8 = 3417 9 = 6180 10 = 11079 11 = 17913 12 = 27871 13 = 40643 14 = 57097 15 = 76275
16 = 99253 17 = 122435 18 = 144808 19 = 166321 20 = 182319 21 = 192823 22 = 195845 23 = 191548
24 = 180603 25 = 163196 26 = 141780 27 = 118685 28 = 95180 29 = 73538 30 = 54150 31 = 38119
32 = 25448 33 = 16439 34 = 9843 35 = 5574 36 = 2953 37 = 1546 38 = 707 39 = 291
40 = 137 41 = 34 42 = 10 43 = 7 44 = 1 45 = 0 46 = 0 47 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.01% 6 = 0.03% 7 = 0.07%
8 = 0.14% 9 = 0.25% 10 = 0.45% 11 = 0.73% 12 = 1.13% 13 = 1.65% 14 = 2.31% 15 = 3.09%
16 = 4.02% 17 = 4.96% 18 = 5.87% 19 = 6.74% 20 = 7.39% 21 = 7.82% 22 = 7.94% 23 = 7.76%
24 = 7.32% 25 = 6.61% 26 = 5.75% 27 = 4.81% 28 = 3.86% 29 = 2.98% 30 = 2.19% 31 = 1.55%
32 = 1.03% 33 = 0.67% 34 = 0.40% 35 = 0.23% 36 = 0.12% 37 = 0.06% 38 = 0.03% 39 = 0.01%
40 = 0.01% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average HCL (high card plus length point) is 21.915
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.02% 6 = 0.06% 7 = 0.12%
8 = 0.26% 9 = 0.51% 10 = 0.96% 11 = 1.69% 12 = 2.82% 13 = 4.46% 14 = 6.78% 15 = 9.87%
16 = 13.89% 17 = 18.86% 18 = 24.73% 19 = 31.47% 20 = 38.86% 21 = 46.67% 22 = 54.61% 23 = 62.38%
24 = 69.70% 25 = 76.31% 26 = 82.06% 27 = 86.87% 28 = 90.73% 29 = 93.71% 30 = 95.90% 31 = 97.45%
32 = 98.48% 33 = 99.14% 34 = 99.54% 35 = 99.77% 36 = 99.89% 37 = 99.95% 38 = 99.98% 39 = 99.99%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 21.92 variance is 24.48 standard deviation is 4.95

**** total point include HCP long suit and short suit point
0 = 0 1 = 0 2 = 8 3 = 26 4 = 35 5 = 153 6 = 390 7 = 797
8 = 1593 9 = 2929 10 = 5291 11 = 8925 12 = 14866 13 = 22136 14 = 32381 15 = 44917
16 = 60533 17 = 79217 18 = 98713 19 = 119144 20 = 138114 21 = 155999 22 = 169319 23 = 178319
24 = 181250 25 = 178275 26 = 170202 27 = 156437 28 = 139042 29 = 119944 30 = 99773 31 = 80433
32 = 62151 33 = 46925 34 = 33742 35 = 23811 36 = 15868 37 = 10431 38 = 6382 39 = 3840
40 = 2180 41 = 1254 42 = 648 43 = 353 44 = 190 45 = 94 46 = 38 47 = 19
48 = 8 49 = 3 50 = 3 51 = 0 52 = 0 53 = 1 54 = 0 55 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.01% 6 = 0.02% 7 = 0.03%
8 = 0.06% 9 = 0.12% 10 = 0.21% 11 = 0.36% 12 = 0.60% 13 = 0.90% 14 = 1.31% 15 = 1.82%
16 = 2.45% 17 = 3.21% 18 = 4.00% 19 = 4.83% 20 = 5.60% 21 = 6.32% 22 = 6.86% 23 = 7.23%
24 = 7.35% 25 = 7.23% 26 = 6.90% 27 = 6.34% 28 = 5.64% 29 = 4.86% 30 = 4.04% 31 = 3.26%
32 = 2.52% 33 = 1.90% 34 = 1.37% 35 = 0.97% 36 = 0.64% 37 = 0.42% 38 = 0.26% 39 = 0.16%
40 = 0.09% 41 = 0.05% 42 = 0.03% 43 = 0.01% 44 = 0.01% 45 = 0.00% 46 = 0.00% 47 = 0.00%
48 = 0.00% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average total point is 24.073
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.01% 6 = 0.02% 7 = 0.06%
8 = 0.12% 9 = 0.24% 10 = 0.45% 11 = 0.82% 12 = 1.42% 13 = 2.32% 14 = 3.63% 15 = 5.45%
16 = 7.90% 17 = 11.11% 18 = 15.12% 19 = 19.94% 20 = 25.54% 21 = 31.87% 22 = 38.73% 23 = 45.96%
24 = 53.30% 25 = 60.53% 26 = 67.43% 27 = 73.77% 28 = 79.41% 29 = 84.27% 30 = 88.31% 31 = 91.57%
32 = 94.09% 33 = 95.99% 34 = 97.36% 35 = 98.33% 36 = 98.97% 37 = 99.39% 38 = 99.65% 39 = 99.81%
40 = 99.89% 41 = 99.94% 42 = 99.97% 43 = 99.99% 44 = 99.99% 45 = 100.00% 46 = 100.00% 47 = 100.00%
48 = 100.00% 49 = 100.00% 50 = 100.00% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%
total count is 2467102 average is 24.07 variance is 28.83 standard deviation is 5.37

**** special point count
0 = 1 1 = 9 2 = 97 3 = 402 4 = 610 5 = 912 6 = 1666 7 = 3589
8 = 5215 9 = 8281 10 = 11212 11 = 16255 12 = 21175 13 = 32687 14 = 38727 15 = 48555
16 = 56833 17 = 75422 18 = 83964 19 = 101305 20 = 108251 21 = 119555 22 = 123223 23 = 145358
24 = 142556 25 = 144827 26 = 137421 27 = 141304 28 = 128701 29 = 128568 30 = 113266 31 = 98824
32 = 84087 33 = 78881 34 = 63750 35 = 51825 36 = 40500 37 = 31560 38 = 23630 39 = 18804
40 = 13051 41 = 8255 42 = 5418 43 = 3714 44 = 2363 45 = 1209 46 = 729 47 = 341
48 = 146 49 = 57 50 = 11 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.02% 4 = 0.02% 5 = 0.04% 6 = 0.07% 7 = 0.15%
8 = 0.21% 9 = 0.34% 10 = 0.45% 11 = 0.66% 12 = 0.86% 13 = 1.32% 14 = 1.57% 15 = 1.97%
16 = 2.30% 17 = 3.06% 18 = 3.40% 19 = 4.11% 20 = 4.39% 21 = 4.85% 22 = 4.99% 23 = 5.89%
24 = 5.78% 25 = 5.87% 26 = 5.57% 27 = 5.73% 28 = 5.22% 29 = 5.21% 30 = 4.59% 31 = 4.01%
32 = 3.41% 33 = 3.20% 34 = 2.58% 35 = 2.10% 36 = 1.64% 37 = 1.28% 38 = 0.96% 39 = 0.76%
40 = 0.53% 41 = 0.33% 42 = 0.22% 43 = 0.15% 44 = 0.10% 45 = 0.05% 46 = 0.03% 47 = 0.01%
48 = 0.01% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average special point is 25.123
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.02% 4 = 0.05% 5 = 0.08% 6 = 0.15% 7 = 0.30%
8 = 0.51% 9 = 0.84% 10 = 1.30% 11 = 1.96% 12 = 2.81% 13 = 4.14% 14 = 5.71% 15 = 7.68%
16 = 9.98% 17 = 13.04% 18 = 16.44% 19 = 20.55% 20 = 24.93% 21 = 29.78% 22 = 34.78% 23 = 40.67%
24 = 46.45% 25 = 52.32% 26 = 57.89% 27 = 63.61% 28 = 68.83% 29 = 74.04% 30 = 78.63% 31 = 82.64%
32 = 86.05% 33 = 89.24% 34 = 91.83% 35 = 93.93% 36 = 95.57% 37 = 96.85% 38 = 97.81% 39 = 98.57%
40 = 99.10% 41 = 99.43% 42 = 99.65% 43 = 99.80% 44 = 99.90% 45 = 99.95% 46 = 99.98% 47 = 99.99%
48 = 100.00% 49 = 100.00% 50 = 100.00% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%
total count is 2467102 average is 25.12 variance is 44.64 standard deviation is 6.68

**** special point with adjustment
0 = 1 1 = 9 2 = 97 3 = 402 4 = 610 5 = 912 6 = 1666 7 = 3589
8 = 5215 9 = 8281 10 = 11212 11 = 16255 12 = 21175 13 = 32687 14 = 38727 15 = 48555
16 = 56833 17 = 75422 18 = 83964 19 = 101305 20 = 108251 21 = 119555 22 = 123223 23 = 145358
24 = 142556 25 = 144827 26 = 137421 27 = 141304 28 = 128701 29 = 128568 30 = 113266 31 = 98824
32 = 84087 33 = 78881 34 = 63750 35 = 51825 36 = 40500 37 = 31560 38 = 23630 39 = 18804
40 = 13051 41 = 8255 42 = 5418 43 = 3714 44 = 2363 45 = 1209 46 = 729 47 = 341
48 = 146 49 = 57 50 = 11 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.02% 4 = 0.02% 5 = 0.04% 6 = 0.07% 7 = 0.15%
8 = 0.21% 9 = 0.34% 10 = 0.45% 11 = 0.66% 12 = 0.86% 13 = 1.32% 14 = 1.57% 15 = 1.97%
16 = 2.30% 17 = 3.06% 18 = 3.40% 19 = 4.11% 20 = 4.39% 21 = 4.85% 22 = 4.99% 23 = 5.89%
24 = 5.78% 25 = 5.87% 26 = 5.57% 27 = 5.73% 28 = 5.22% 29 = 5.21% 30 = 4.59% 31 = 4.01%
32 = 3.41% 33 = 3.20% 34 = 2.58% 35 = 2.10% 36 = 1.64% 37 = 1.28% 38 = 0.96% 39 = 0.76%
40 = 0.53% 41 = 0.33% 42 = 0.22% 43 = 0.15% 44 = 0.10% 45 = 0.05% 46 = 0.03% 47 = 0.01%
48 = 0.01% 49 = 0.00% 50 = 0.00% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average special point with adjustment is 25.123
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.02% 4 = 0.05% 5 = 0.08% 6 = 0.15% 7 = 0.30%
8 = 0.51% 9 = 0.84% 10 = 1.30% 11 = 1.96% 12 = 2.81% 13 = 4.14% 14 = 5.71% 15 = 7.68%
16 = 9.98% 17 = 13.04% 18 = 16.44% 19 = 20.55% 20 = 24.93% 21 = 29.78% 22 = 34.78% 23 = 40.67%
24 = 46.45% 25 = 52.32% 26 = 57.89% 27 = 63.61% 28 = 68.83% 29 = 74.04% 30 = 78.63% 31 = 82.64%
32 = 86.05% 33 = 89.24% 34 = 91.83% 35 = 93.93% 36 = 95.57% 37 = 96.85% 38 = 97.81% 39 = 98.57%
40 = 99.10% 41 = 99.43% 42 = 99.65% 43 = 99.80% 44 = 99.90% 45 = 99.95% 46 = 99.98% 47 = 99.99%
48 = 100.00% 49 = 100.00% 50 = 100.00% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%
total count is 2467102 average is 25.12 variance is 44.64 standard deviation is 6.68

**** Special Long suit point
0 = 328305 1 = 702601 2 = 700681 3 = 443037 4 = 200342 5 = 69100 6 = 18576 7 = 3826
8 = 584 9 = 48 10 = 2 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
16 = 0 17 = 0 18 = 0 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2467102
0 = 13.31% 1 = 28.48% 2 = 28.40% 3 = 17.96% 4 = 8.12% 5 = 2.80% 6 = 0.75% 7 = 0.16%
8 = 0.02% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00% 20 = 0.00% 21 = 0.00% 22 = 0.00% 23 = 0.00%
total count is 2467102 average is 1.91 variance is 1.74 standard deviation is 1.32

**** total special short suit point
0 = 517037 1 = 595686 2 = 695489 3 = 332060 4 = 183477 5 = 74214 6 = 38813 7 = 17515
8 = 7544 9 = 3378 10 = 1097 11 = 584 12 = 121 13 = 49 14 = 23 15 = 13
16 = 2 17 = 0 18 = 0 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2467102
0 = 20.96% 1 = 24.15% 2 = 28.19% 3 = 13.46% 4 = 7.44% 5 = 3.01% 6 = 1.57% 7 = 0.71%
8 = 0.31% 9 = 0.14% 10 = 0.04% 11 = 0.02% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
16 = 0.00% 17 = 0.00% 18 = 0.00% 19 = 0.00% 20 = 0.00% 21 = 0.00% 22 = 0.00% 23 = 0.00%
total count is 2467102 average is 1.85 variance is 2.42 standard deviation is 1.56

**** special point with adjustment and long suit point
0 = 1 1 = 1 2 = 27 3 = 85 4 = 233 5 = 453 6 = 766 7 = 1420
8 = 2475 9 = 4082 10 = 6321 11 = 9136 12 = 12804 13 = 17794 14 = 24888 15 = 32254
16 = 40547 17 = 50207 18 = 61465 19 = 73970 20 = 86676 21 = 98097 22 = 108837 23 = 118781
24 = 128695 25 = 137176 26 = 140112 27 = 140846 28 = 139081 29 = 135537 30 = 130763 31 = 122334
32 = 110518 33 = 98806 34 = 86895 35 = 75122 36 = 62835 37 = 52263 38 = 41470 39 = 32138
40 = 24708 41 = 18567 42 = 13078 43 = 9118 44 = 6144 45 = 4020 46 = 2490 47 = 1451
48 = 835 49 = 430 50 = 202 51 = 101 52 = 30 53 = 9 54 = 7 55 = 1
total count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.02% 6 = 0.03% 7 = 0.06%
8 = 0.10% 9 = 0.17% 10 = 0.26% 11 = 0.37% 12 = 0.52% 13 = 0.72% 14 = 1.01% 15 = 1.31%
16 = 1.64% 17 = 2.04% 18 = 2.49% 19 = 3.00% 20 = 3.51% 21 = 3.98% 22 = 4.41% 23 = 4.81%
24 = 5.22% 25 = 5.56% 26 = 5.68% 27 = 5.71% 28 = 5.64% 29 = 5.49% 30 = 5.30% 31 = 4.96%
32 = 4.48% 33 = 4.00% 34 = 3.52% 35 = 3.04% 36 = 2.55% 37 = 2.12% 38 = 1.68% 39 = 1.30%
40 = 1.00% 41 = 0.75% 42 = 0.53% 43 = 0.37% 44 = 0.25% 45 = 0.16% 46 = 0.10% 47 = 0.06%
48 = 0.03% 49 = 0.02% 50 = 0.01% 51 = 0.00% 52 = 0.00% 53 = 0.00% 54 = 0.00% 55 = 0.00%
average SPL is 27.037
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.03% 6 = 0.06% 7 = 0.12%
8 = 0.22% 9 = 0.39% 10 = 0.64% 11 = 1.01% 12 = 1.53% 13 = 2.25% 14 = 3.26% 15 = 4.57%
16 = 6.21% 17 = 8.25% 18 = 10.74% 19 = 13.74% 20 = 17.25% 21 = 21.23% 22 = 25.64% 23 = 30.45%
24 = 35.67% 25 = 41.23% 26 = 46.91% 27 = 52.62% 28 = 58.26% 29 = 63.75% 30 = 69.05% 31 = 74.01%
32 = 78.49% 33 = 82.49% 34 = 86.02% 35 = 89.06% 36 = 91.61% 37 = 93.73% 38 = 95.41% 39 = 96.71%
40 = 97.71% 41 = 98.46% 42 = 98.99% 43 = 99.36% 44 = 99.61% 45 = 99.77% 46 = 99.88% 47 = 99.93%
48 = 99.97% 49 = 99.99% 50 = 99.99% 51 = 100.00% 52 = 100.00% 53 = 100.00% 54 = 100.00% 55 = 100.00%
total count is 2467102 average is 27.04 variance is 46.36 standard deviation is 6.81

**** Special point with adjustment and long suit and short suit point
0 = 0 1 = 0 2 = 15 3 = 35 4 = 100 5 = 228 6 = 407 7 = 793
8 = 1382 9 = 2339 10 = 3640 11 = 5475 12 = 8108 13 = 11552 14 = 16059 15 = 21326
16 = 27968 17 = 35575 18 = 44151 19 = 54480 20 = 64968 21 = 76570 22 = 87492 23 = 98875
24 = 109072 25 = 118024 26 = 125652 27 = 131792 28 = 134628 29 = 135992 30 = 133974 31 = 130802
32 = 124234 33 = 116724 34 = 106739 35 = 96251 36 = 84737 37 = 73763 38 = 62619 39 = 51961
40 = 42233 41 = 33611 42 = 26054 43 = 19986 44 = 14756 45 = 10830 46 = 7439 47 = 4947
48 = 3402 49 = 2252 50 = 1315 51 = 812 52 = 427 53 = 251 54 = 143 55 = 73
56 = 38 57 = 17 58 = 9 59 = 2 60 = 0 61 = 2 62 = 0 63 = 0
total count is 2467101
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.01% 6 = 0.02% 7 = 0.03%
8 = 0.06% 9 = 0.09% 10 = 0.15% 11 = 0.22% 12 = 0.33% 13 = 0.47% 14 = 0.65% 15 = 0.86%
16 = 1.13% 17 = 1.44% 18 = 1.79% 19 = 2.21% 20 = 2.63% 21 = 3.10% 22 = 3.55% 23 = 4.01%
24 = 4.42% 25 = 4.78% 26 = 5.09% 27 = 5.34% 28 = 5.46% 29 = 5.51% 30 = 5.43% 31 = 5.30%
32 = 5.04% 33 = 4.73% 34 = 4.33% 35 = 3.90% 36 = 3.43% 37 = 2.99% 38 = 2.54% 39 = 2.11%
40 = 1.71% 41 = 1.36% 42 = 1.06% 43 = 0.81% 44 = 0.60% 45 = 0.44% 46 = 0.30% 47 = 0.20%
48 = 0.14% 49 = 0.09% 50 = 0.05% 51 = 0.03% 52 = 0.02% 53 = 0.01% 54 = 0.01% 55 = 0.00%
56 = 0.00% 57 = 0.00% 58 = 0.00% 59 = 0.00% 60 = 0.00% 61 = 0.00% 62 = 0.00% 63 = 0.00%
average SPLS is 28.890
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.01% 5 = 0.02% 6 = 0.03% 7 = 0.06%
8 = 0.12% 9 = 0.21% 10 = 0.36% 11 = 0.58% 12 = 0.91% 13 = 1.38% 14 = 2.03% 15 = 2.90%
16 = 4.03% 17 = 5.47% 18 = 7.26% 19 = 9.47% 20 = 12.10% 21 = 15.21% 22 = 18.75% 23 = 22.76%
24 = 27.18% 25 = 31.97% 26 = 37.06% 27 = 42.40% 28 = 47.86% 29 = 53.37% 30 = 58.80% 31 = 64.10%
32 = 69.14% 33 = 73.87% 34 = 78.20% 35 = 82.10% 36 = 85.53% 37 = 88.52% 38 = 91.06% 39 = 93.17%
40 = 94.88% 41 = 96.24% 42 = 97.30% 43 = 98.11% 44 = 98.70% 45 = 99.14% 46 = 99.45% 47 = 99.65%
48 = 99.78% 49 = 99.87% 50 = 99.93% 51 = 99.96% 52 = 99.98% 53 = 99.99% 54 = 99.99% 55 = 100.00%
56 = 100.00% 57 = 100.00% 58 = 100.00% 59 = 100.00% 60 = 100.00% 61 = 100.00% 62 = 100.00% 63 = 100.00%
total count is 2467102 average is 28.89 variance is 50.37 standard deviation is 7.10

**** Losing trick count
0 = 0 1 = 0 2 = 0 3 = 0 4 = 0 5 = 0 6 = 8 7 = 112
8 = 737 9 = 3770 10 = 15747 11 = 51027 12 = 129180 13 = 258516 14 = 406646 15 = 498262
16 = 470286 17 = 340935 18 = 187168 19 = 76311 20 = 22771 21 = 4860 22 = 706 23 = 58
24 = 2
losing trick count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.00% 6 = 0.00% 7 = 0.00%
8 = 0.03% 9 = 0.15% 10 = 0.64% 11 = 2.07% 12 = 5.24% 13 = 10.48% 14 = 16.48% 15 = 20.20%
16 = 19.06% 17 = 13.82% 18 = 7.59% 19 = 3.09% 20 = 0.92% 21 = 0.20% 22 = 0.03% 23 = 0.00%
24 = 0.00%
average losing trick count is 15.221
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.00% 6 = 0.00% 7 = 0.00%
8 = 0.03% 9 = 0.19% 10 = 0.83% 11 = 2.89% 12 = 8.13% 13 = 18.61% 14 = 35.09% 15 = 55.29%
16 = 74.35% 17 = 88.17% 18 = 95.76% 19 = 98.85% 20 = 99.77% 21 = 99.97% 22 = 100.00% 23 = 100.00%
24 = 100.00%
total count is 2467102 average is 15.22 variance is 3.81 standard deviation is 1.95

**** Losing trick count for suit fit hands only
0 = 0 1 = 0 2 = 0 3 = 0 4 = 0 5 = 0 6 = 8 7 = 93
8 = 646 9 = 3349 10 = 14067 11 = 45735 12 = 115428 13 = 229506 14 = 357212 15 = 429667
16 = 394346 17 = 274447 18 = 142487 19 = 54079 20 = 14551 21 = 2697 22 = 328 23 = 20
24 = 0
losing trick count for suit fit only is 2078666
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.00% 6 = 0.00% 7 = 0.00%
8 = 0.03% 9 = 0.16% 10 = 0.68% 11 = 2.20% 12 = 5.55% 13 = 11.04% 14 = 17.18% 15 = 20.67%
16 = 18.97% 17 = 13.20% 18 = 6.85% 19 = 2.60% 20 = 0.70% 21 = 0.13% 22 = 0.02% 23 = 0.00%
24 = 0.00%
average losing trick count for suit fit only is 15.114
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.00% 4 = 0.00% 5 = 0.00% 6 = 0.00% 7 = 0.00%
8 = 0.04% 9 = 0.20% 10 = 0.87% 11 = 3.07% 12 = 8.63% 13 = 19.67% 14 = 36.85% 15 = 57.52%
16 = 76.49% 17 = 89.70% 18 = 96.55% 19 = 99.15% 20 = 99.85% 21 = 99.98% 22 = 100.00% 23 = 100.00%
24 = 100.00%

**** control count (A = 2, K = 1)
0 = 5076 1 = 27975 2 = 80595 3 = 180388 4 = 303465 5 = 407264 6 = 457528 7 = 407442
8 = 303784 9 = 179971 10 = 80559 11 = 27952 12 = 5103
control count is 2467102
0 = 0.21% 1 = 1.13% 2 = 3.27% 3 = 7.31% 4 = 12.30% 5 = 16.51% 6 = 18.55% 7 = 16.52%
8 = 12.31% 9 = 7.29% 10 = 3.27% 11 = 1.13% 12 = 0.21%
average control count is 6.000
0 = 0.21% 1 = 1.34% 2 = 4.61% 3 = 11.92% 4 = 24.22% 5 = 40.73% 6 = 59.27% 7 = 75.79%
8 = 88.10% 9 = 95.39% 10 = 98.66% 11 = 99.79% 12 = 100.00%
total count is 2467102 average is 6.00 variance is 4.39 standard deviation is 2.10

**** total trick distribution
77 = 259145 78 = 129291 79 = 0 710 = 0 711 = 0 712 = 0 713 = 0
87 = 130409 88 = 665639 89 = 282507 810 = 48392 811 = 3321 812 = 0 813 = 0
97 = 0 98 = 282445 99 = 288232 910 = 101304 911 = 18570 912 = 1579 913 = 51
107 = 0 108 = 48005 109 = 100915 1010 = 50015 1011 = 12419 1012 = 1595 1013 = 70
117 = 0 118 = 3410 119 = 18621 1110 = 12607 1111 = 3839 1112 = 611 1113 = 36
127 = 0 128 = 0 129 = 1579 1210 = 1615 1211 = 581 1212 = 121 1213 = 7
137 = 0 138 = 0 139 = 41 1310 = 83 1311 = 36 1312 = 11 1313 = 0
total count is 2467102
77 = 10.50% 78 = 5.24% 79 = 0.00% 710 = 0.00% 711 = 0.00% 712 = 0.00% 713 = 0.00%
87 = 5.29% 88 = 26.98% 89 = 11.45% 810 = 1.96% 811 = 0.13% 812 = 0.00% 813 = 0.00%
97 = 0.00% 98 = 11.45% 99 = 11.68% 910 = 4.11% 911 = 0.75% 912 = 0.06% 913 = 0.00%
107 = 0.00% 108 = 1.95% 109 = 4.09%1010 = 2.03%1011 = 0.50%1012 = 0.06%1013 = 0.00%
117 = 0.00% 118 = 0.14% 119 = 0.75%1110 = 0.51%1111 = 0.16%1112 = 0.02%1113 = 0.00%
127 = 0.00% 128 = 0.00% 129 = 0.06%1210 = 0.07%1211 = 0.02%1212 = 0.00%1213 = 0.00%
137 = 0.00% 138 = 0.00% 139 = 0.00%1310 = 0.00%1311 = 0.00%1312 = 0.00%1313 = 0.00%


**************** North hand statistic ****************
** spade high card point average HCP is 2.502
0 = 30.33% 30.33% 1 = 10.97% 41.30% 2 = 10.97% 52.28% 3 = 14.57% 66.84% 4 = 14.56% 81.40%
5 = 7.11% 88.52% 6 = 4.56% 93.08% 7 = 4.59% 97.67% 8 = 1.03% 98.69% 9 = 1.04% 99.73%
10 = 0.27% 100.00%
** heart high card point average HCP is 2.502
0 = 30.36% 30.36% 1 = 10.96% 41.33% 2 = 10.97% 52.29% 3 = 14.50% 66.80% 4 = 14.57% 81.37%
5 = 7.13% 88.50% 6 = 4.59% 93.09% 7 = 4.59% 97.67% 8 = 1.04% 98.71% 9 = 1.03% 99.73%
10 = 0.27% 100.00%
** diamond high card point average HCP is 2.501
0 = 30.39% 30.39% 1 = 10.94% 41.33% 2 = 10.96% 52.28% 3 = 14.54% 66.82% 4 = 14.57% 81.38%
5 = 7.14% 88.52% 6 = 4.57% 93.10% 7 = 4.57% 97.67% 8 = 1.03% 98.70% 9 = 1.03% 99.73%
10 = 0.27% 100.00%
** club high card point average HCP is 2.499
0 = 30.39% 30.39% 1 = 11.02% 41.41% 2 = 11.00% 52.42% 3 = 14.48% 66.89% 4 = 14.47% 81.37%
5 = 7.10% 88.47% 6 = 4.59% 93.06% 7 = 4.59% 97.65% 8 = 1.04% 98.69% 9 = 1.04% 99.74%
10 = 0.26% 100.00%
** space suit length average length is 3.252
0 = 1.27% 1.27% 1 = 7.97% 9.25% 2 = 20.54% 29.78% 3 = 28.67% 58.45% 4 = 23.92% 82.36%
5 = 12.48% 94.85% 6 = 4.14% 98.99% 7 = 0.88% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** heart suit length average length is 3.250
0 = 1.29% 1.29% 1 = 7.99% 9.28% 2 = 20.60% 29.87% 3 = 28.61% 58.49% 4 = 23.90% 82.39%
5 = 12.45% 94.84% 6 = 4.15% 98.99% 7 = 0.88% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** diamond suit length average length is 3.249
0 = 1.28% 1.28% 1 = 8.01% 9.29% 2 = 20.54% 29.84% 3 = 28.69% 58.52% 4 = 23.91% 82.43%
5 = 12.42% 94.85% 6 = 4.14% 98.99% 7 = 0.88% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** club suit length average length is 3.249
0 = 1.27% 1.27% 1 = 8.03% 9.30% 2 = 20.60% 29.90% 3 = 28.64% 58.55% 4 = 23.85% 82.39%
5 = 12.45% 94.84% 6 = 4.15% 99.00% 7 = 0.88% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%

**** total HCP
0 = 8880 1 = 19375 2 = 33305 3 = 60538 4 = 94739 5 = 128160 6 = 161145 7 = 199162
8 = 219093 9 = 230106 10 = 232309 11 = 220854 12 = 198606 13 = 170523 14 = 139571 15 = 109457
16 = 81947 17 = 58379 18 = 39658 19 = 25537 20 = 15845 21 = 9379 22 = 5309 23 = 2764
24 = 1318 25 = 660 26 = 264 27 = 140 28 = 47 29 = 23 30 = 9 31 = 0
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 2467102
0 = 0.36% 1 = 0.79% 2 = 1.35% 3 = 2.45% 4 = 3.84% 5 = 5.19% 6 = 6.53% 7 = 8.07%
8 = 8.88% 9 = 9.33% 10 = 9.42% 11 = 8.95% 12 = 8.05% 13 = 6.91% 14 = 5.66% 15 = 4.44%
16 = 3.32% 17 = 2.37% 18 = 1.61% 19 = 1.04% 20 = 0.64% 21 = 0.38% 22 = 0.22% 23 = 0.11%
24 = 0.05% 25 = 0.03% 26 = 0.01% 27 = 0.01% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00%
average HCP is 10.003
0 = 0.36% 1 = 1.15% 2 = 2.50% 3 = 4.95% 4 = 8.79% 5 = 13.98% 6 = 20.52% 7 = 28.59%
8 = 37.47% 9 = 46.80% 10 = 56.21% 11 = 65.16% 12 = 73.21% 13 = 80.13% 14 = 85.78% 15 = 90.22%
16 = 93.54% 17 = 95.91% 18 = 97.52% 19 = 98.55% 20 = 99.19% 21 = 99.57% 22 = 99.79% 23 = 99.90%
24 = 99.95% 25 = 99.98% 26 = 99.99% 27 = 100.00% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00%
total count is 2467102 average is 10.00 variance is 17.06 standard deviation is 4.13

**** Long suit point
0 = 867919 1 = 992157 2 = 472200 3 = 117824 4 = 15830 5 = 1129 6 = 41 7 = 2
8 = 0 9 = 0 10 = 0 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
total count is 2467102
0 = 35.18% 1 = 40.22% 2 = 19.14% 3 = 4.78% 4 = 0.64% 5 = 0.05% 6 = 0.00% 7 = 0.00%
8 = 0.00% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
average long suit point is 0.956
**** total short suit point
0 = 591209 1 = 911185 2 = 667841 3 = 250321 4 = 41564 5 = 4699 6 = 281 7 = 2
8 = 0 9 = 0
total count is 2467102
0 = 23.96% 1 = 36.93% 2 = 27.07% 3 = 10.15% 4 = 1.68% 5 = 0.19% 6 = 0.01% 7 = 0.00%
8 = 0.00% 9 = 0.00%
average short suit point is 1.293
**** total HCL high card plus length point
0 = 3732 1 = 11061 2 = 21633 3 = 39293 4 = 65461 5 = 96201 6 = 128318 7 = 163348
8 = 193076 9 = 214088 10 = 225572 11 = 226638 12 = 215696 13 = 195926 14 = 169322 15 = 139903
16 = 110387 17 = 83041 18 = 59661 19 = 40970 20 = 26511 21 = 16559 22 = 9758 23 = 5474
24 = 2901 25 = 1419 26 = 657 27 = 300 28 = 120 29 = 48 30 = 20 31 = 8
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2467102
0 = 0.15% 1 = 0.45% 2 = 0.88% 3 = 1.59% 4 = 2.65% 5 = 3.90% 6 = 5.20% 7 = 6.62%
8 = 7.83% 9 = 8.68% 10 = 9.14% 11 = 9.19% 12 = 8.74% 13 = 7.94% 14 = 6.86% 15 = 5.67%
16 = 4.47% 17 = 3.37% 18 = 2.42% 19 = 1.66% 20 = 1.07% 21 = 0.67% 22 = 0.40% 23 = 0.22%
24 = 0.12% 25 = 0.06% 26 = 0.03% 27 = 0.01% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
average HCL (high card plus length point) is 10.959
0 = 0.15% 1 = 0.60% 2 = 1.48% 3 = 3.07% 4 = 5.72% 5 = 9.62% 6 = 14.82% 7 = 21.44%
8 = 29.27% 9 = 37.95% 10 = 47.09% 11 = 56.28% 12 = 65.02% 13 = 72.96% 14 = 79.83% 15 = 85.50%
16 = 89.97% 17 = 93.34% 18 = 95.75% 19 = 97.41% 20 = 98.49% 21 = 99.16% 22 = 99.56% 23 = 99.78%
24 = 99.90% 25 = 99.95% 26 = 99.98% 27 = 99.99% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
total count is 2467102 average is 10.96 variance is 17.84 standard deviation is 4.22

**** total point include HCP long suit and short suit point
0 = 1172 1 = 5168 2 = 11596 3 = 22989 4 = 39936 5 = 63143 6 = 90538 7 = 120948
8 = 152050 9 = 180621 10 = 201462 11 = 213006 12 = 217241 13 = 209767 14 = 194396 15 = 172863
16 = 146885 17 = 119855 18 = 93542 19 = 69877 20 = 50169 21 = 34618 22 = 22502 23 = 14161
24 = 8491 25 = 4957 26 = 2657 27 = 1361 28 = 650 29 = 278 30 = 126 31 = 52
32 = 17 33 = 8 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2467102
0 = 0.05% 1 = 0.21% 2 = 0.47% 3 = 0.93% 4 = 1.62% 5 = 2.56% 6 = 3.67% 7 = 4.90%
8 = 6.16% 9 = 7.32% 10 = 8.17% 11 = 8.63% 12 = 8.81% 13 = 8.50% 14 = 7.88% 15 = 7.01%
16 = 5.95% 17 = 4.86% 18 = 3.79% 19 = 2.83% 20 = 2.03% 21 = 1.40% 22 = 0.91% 23 = 0.57%
24 = 0.34% 25 = 0.20% 26 = 0.11% 27 = 0.06% 28 = 0.03% 29 = 0.01% 30 = 0.01% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
average total point is 12.252
0 = 0.05% 1 = 0.26% 2 = 0.73% 3 = 1.66% 4 = 3.28% 5 = 5.84% 6 = 9.51% 7 = 14.41%
8 = 20.57% 9 = 27.89% 10 = 36.06% 11 = 44.69% 12 = 53.50% 13 = 62.00% 14 = 69.88% 15 = 76.89%
16 = 82.84% 17 = 87.70% 18 = 91.49% 19 = 94.32% 20 = 96.36% 21 = 97.76% 22 = 98.67% 23 = 99.25%
24 = 99.59% 25 = 99.79% 26 = 99.90% 27 = 99.95% 28 = 99.98% 29 = 99.99% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
total count is 2467102 average is 12.25 variance is 19.67 standard deviation is 4.44

**** special point count
0 = 8880 1 = 19375 2 = 37235 3 = 61142 4 = 63102 5 = 54677 6 = 95057 7 = 139601
8 = 148428 9 = 146582 10 = 153331 11 = 142628 12 = 168144 13 = 183154 14 = 166704 15 = 126068
16 = 130756 17 = 114782 18 = 109513 19 = 89376 20 = 76694 21 = 49952 22 = 48608 23 = 37407
24 = 30470 25 = 18816 26 = 15730 27 = 9326 28 = 8027 29 = 5007 30 = 3725 31 = 1680
32 = 1359 33 = 743 34 = 525 35 = 226 36 = 135 37 = 51 38 = 45 39 = 22
40 = 18 41 = 0 42 = 1 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2467102
average special point is 12.690
total count is 2467102 average is 12.69 variance is 33.36 standard deviation is 5.78

**** special point with adjustment
0 = 8880 1 = 19375 2 = 37235 3 = 61142 4 = 63102 5 = 54677 6 = 95057 7 = 139601
8 = 148428 9 = 146582 10 = 153331 11 = 142628 12 = 168144 13 = 183154 14 = 166704 15 = 126068
16 = 130756 17 = 114782 18 = 109513 19 = 89376 20 = 76694 21 = 49952 22 = 48608 23 = 37407
24 = 30470 25 = 18816 26 = 15730 27 = 9326 28 = 8027 29 = 5007 30 = 3725 31 = 1680
32 = 1359 33 = 743 34 = 525 35 = 226 36 = 135 37 = 51 38 = 45 39 = 22
40 = 18 41 = 0 42 = 1 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2467102
0 = 0.36% 1 = 0.79% 2 = 1.51% 3 = 2.48% 4 = 2.56% 5 = 2.22% 6 = 3.85% 7 = 5.66%
8 = 6.02% 9 = 5.94% 10 = 6.22% 11 = 5.78% 12 = 6.82% 13 = 7.42% 14 = 6.76% 15 = 5.11%
16 = 5.30% 17 = 4.65% 18 = 4.44% 19 = 3.62% 20 = 3.11% 21 = 2.02% 22 = 1.97% 23 = 1.52%
24 = 1.24% 25 = 0.76% 26 = 0.64% 27 = 0.38% 28 = 0.33% 29 = 0.20% 30 = 0.15% 31 = 0.07%
32 = 0.06% 33 = 0.03% 34 = 0.02% 35 = 0.01% 36 = 0.01% 37 = 0.00% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average special point with adjustment is 12.690
total count is 2467102 average is 12.69 variance is 33.36 standard deviation is 5.78

**** special point with adjustment and long suit point
total count is 2467102
0 = 0.15% 1 = 0.45% 2 = 0.94% 3 = 1.65% 4 = 2.23% 5 = 2.36% 6 = 2.86% 7 = 4.02%
8 = 5.24% 9 = 5.77% 10 = 6.03% 11 = 5.95% 12 = 6.22% 13 = 6.69% 14 = 6.95% 15 = 6.39%
16 = 5.71% 17 = 5.11% 18 = 4.73% 19 = 4.23% 20 = 3.71% 21 = 2.95% 22 = 2.34% 23 = 1.89%
24 = 1.54% 25 = 1.15% 26 = 0.86% 27 = 0.60% 28 = 0.42% 29 = 0.30% 30 = 0.21% 31 = 0.13%
32 = 0.08% 33 = 0.05% 34 = 0.03% 35 = 0.02% 36 = 0.01% 37 = 0.00% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average SPL is 13.647
0 = 0.15% 1 = 0.60% 2 = 1.54% 3 = 3.19% 4 = 5.43% 5 = 7.79% 6 = 10.65% 7 = 14.67%
8 = 19.91% 9 = 25.68% 10 = 31.71% 11 = 37.66% 12 = 43.88% 13 = 50.57% 14 = 57.52% 15 = 63.90%
16 = 69.61% 17 = 74.72% 18 = 79.45% 19 = 83.68% 20 = 87.40% 21 = 90.34% 22 = 92.68% 23 = 94.57%
24 = 96.11% 25 = 97.27% 26 = 98.12% 27 = 98.73% 28 = 99.15% 29 = 99.45% 30 = 99.66% 31 = 99.80%
32 = 99.88% 33 = 99.93% 34 = 99.96% 35 = 99.98% 36 = 99.99% 37 = 99.99% 38 = 100.00% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 13.65 variance is 34.14 standard deviation is 5.84

**** Special point with adjustment and long suit and short suit point
total count is 2467102
0 = 0.05% 1 = 0.21% 2 = 0.51% 3 = 1.04% 4 = 1.51% 5 = 1.88% 6 = 2.31% 7 = 3.09%
8 = 3.89% 9 = 4.76% 10 = 5.28% 11 = 5.68% 12 = 5.87% 13 = 6.31% 14 = 6.47% 15 = 6.51%
16 = 6.15% 17 = 5.82% 18 = 5.31% 19 = 4.93% 20 = 4.30% 21 = 3.79% 22 = 3.14% 23 = 2.66%
24 = 2.11% 25 = 1.73% 26 = 1.29% 27 = 1.01% 28 = 0.73% 29 = 0.54% 30 = 0.37% 31 = 0.27%
32 = 0.18% 33 = 0.12% 34 = 0.07% 35 = 0.05% 36 = 0.03% 37 = 0.02% 38 = 0.01% 39 = 0.01%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average SPLS is 14.939
0 = 0.05% 1 = 0.26% 2 = 0.77% 3 = 1.81% 4 = 3.32% 5 = 5.20% 6 = 7.50% 7 = 10.60%
8 = 14.49% 9 = 19.24% 10 = 24.52% 11 = 30.20% 12 = 36.07% 13 = 42.39% 14 = 48.86% 15 = 55.37%
16 = 61.52% 17 = 67.34% 18 = 72.66% 19 = 77.59% 20 = 81.89% 21 = 85.68% 22 = 88.82% 23 = 91.48%
24 = 93.59% 25 = 95.32% 26 = 96.61% 27 = 97.62% 28 = 98.35% 29 = 98.89% 30 = 99.26% 31 = 99.53%
32 = 99.70% 33 = 99.82% 34 = 99.89% 35 = 99.94% 36 = 99.97% 37 = 99.98% 38 = 99.99% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 14.94 variance is 36.26 standard deviation is 6.02

**** Losing trick count
0 = 0 1 = 0 2 = 257 3 = 5280 4 = 38990 5 = 154182 6 = 371003 7 = 584198
8 = 618898 9 = 438541 10 = 198428 11 = 51564 12 = 5761
losing trick count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.21% 4 = 1.58% 5 = 6.25% 6 = 15.04% 7 = 23.68%
8 = 25.09% 9 = 17.78% 10 = 8.04% 11 = 2.09% 12 = 0.23%
average losing trick count is 7.611
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.22% 4 = 1.80% 5 = 8.05% 6 = 23.09% 7 = 46.77%
8 = 71.86% 9 = 89.63% 10 = 97.68% 11 = 99.77% 12 = 100.00%
total count is 2467102 average is 7.61 variance is 2.28 standard deviation is 1.51

**** Control count (A = 2, K = 1)
0 = 201044 1 = 328047 2 = 506071 3 = 515304 4 = 413192 5 = 275368 6 = 140792 7 = 60652
8 = 20420 9 = 5135 10 = 961 11 = 114 12 = 2
control count is 2467102
0 = 8.15% 1 = 13.30% 2 = 20.51% 3 = 20.89% 4 = 16.75% 5 = 11.16% 6 = 5.71% 7 = 2.46%
8 = 0.83% 9 = 0.21% 10 = 0.04% 11 = 0.00% 12 = 0.00%
average control count is 3.002
0 = 8.15% 1 = 21.45% 2 = 41.96% 3 = 62.85% 4 = 79.59% 5 = 90.76% 6 = 96.46% 7 = 98.92%
8 = 99.75% 9 = 99.96% 10 = 100.00% 11 = 100.00% 12 = 100.00%

**** total distribution
4432 = 532862 5332 = 382247 5431 = 318972 5422 = 260329 4333 = 261152 6322 = 138644
6421 = 116155 6331 = 84594 5521 = 78128 4441 = 73905 7321 = 46274 6430 = 32557
5440 = 30609 5530 = 22122 6511 = 17447 6520 = 16051 7222 = 12769 7411 = 9757
7420 = 9005 7330 = 6521 8221 = 4709 8311 = 2882 8320 = 2686 7510 = 2602
6610 = 1786 8410 = 1165 9211 = 419 9310 = 239 9220 = 216 7600 = 134
8500 = 100 10210 = 29 9400 = 21 10111 = 8 10300 = 4 11110 = 0
11200 = 2 12100 = 0 13000 = 0
total count is 2467102
4432 = 21.60% 5332 = 15.49% 5431 = 12.93% 5422 = 10.55% 4333 = 10.59% 6322 = 5.62%
6421 = 4.71% 6331 = 3.43% 5521 = 3.17% 4441 = 3.00% 7321 = 1.88% 6430 = 1.32%
5440 = 1.24% 5530 = 0.90% 6511 = 0.71% 6520 = 0.65% 7222 = 0.52% 7411 = 0.40%
7420 = 0.37% 7330 = 0.26% 8221 = 0.19% 8311 = 0.12% 8320 = 0.11% 7510 = 0.11%
6610 = 0.07% 8410 = 0.05% 9211 = 0.02% 9310 = 0.01% 9220 = 0.01% 7600 = 0.01%
8500 = 0.00% 10210 = 0.00% 9400 = 0.00% 10111 = 0.00% 10300 = 0.00% 11110 = 0.00%
11200 = 0.00% 12100 = 0.00% 13000 = 0.00%

**************** South hand statistic ****************
** spade high card point average HCP is 2.499
0 = 30.39% 30.39% 1 = 10.98% 41.36% 2 = 11.00% 52.37% 3 = 14.51% 66.88% 4 = 14.53% 81.41%
5 = 7.11% 88.52% 6 = 4.58% 93.09% 7 = 4.58% 97.67% 8 = 1.03% 98.70% 9 = 1.03% 99.73%
10 = 0.27% 100.00%
** heart high card point average HCP is 2.500
0 = 30.38% 30.38% 1 = 10.98% 41.35% 2 = 10.97% 52.32% 3 = 14.54% 66.86% 4 = 14.55% 81.41%
5 = 7.10% 88.51% 6 = 4.59% 93.10% 7 = 4.58% 97.68% 8 = 1.02% 98.70% 9 = 1.03% 99.73%
10 = 0.27% 100.00%
** diamond high card point average HCP is 2.499
0 = 30.43% 30.43% 1 = 10.96% 41.39% 2 = 10.95% 52.33% 3 = 14.54% 66.87% 4 = 14.53% 81.40%
5 = 7.10% 88.50% 6 = 4.60% 93.09% 7 = 4.58% 97.67% 8 = 1.04% 98.71% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** club high card point average HCP is 2.499
0 = 30.41% 30.41% 1 = 10.97% 41.37% 2 = 10.98% 52.35% 3 = 14.51% 66.85% 4 = 14.54% 81.39%
5 = 7.12% 88.51% 6 = 4.57% 93.08% 7 = 4.59% 97.68% 8 = 1.04% 98.71% 9 = 1.02% 99.74%
10 = 0.26% 100.00%
** space suit length average length is 3.249
0 = 1.28% 1.28% 1 = 8.01% 9.29% 2 = 20.62% 29.91% 3 = 28.62% 58.53% 4 = 23.85% 82.38%
5 = 12.46% 94.85% 6 = 4.15% 99.00% 7 = 0.87% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** heart suit length average length is 3.252
0 = 1.27% 1.27% 1 = 7.99% 9.26% 2 = 20.56% 29.82% 3 = 28.65% 58.47% 4 = 23.86% 82.34%
5 = 12.50% 94.83% 6 = 4.16% 98.99% 7 = 0.88% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** diamond suit length average length is 3.250
0 = 1.27% 1.27% 1 = 8.03% 9.30% 2 = 20.57% 29.87% 3 = 28.62% 58.49% 4 = 23.88% 82.37%
5 = 12.47% 94.83% 6 = 4.16% 98.99% 7 = 0.88% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** club suit length average length is 3.249
0 = 1.28% 1.28% 1 = 8.00% 9.28% 2 = 20.61% 29.89% 3 = 28.64% 58.53% 4 = 23.85% 82.38%
5 = 12.47% 94.85% 6 = 4.15% 99.00% 7 = 0.88% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%

**** total HCP
0 = 8939 1 = 19563 2 = 33521 3 = 61018 4 = 95251 5 = 127287 6 = 162209 7 = 199052
8 = 219065 9 = 230835 10 = 231618 11 = 220396 12 = 197932 13 = 169902 14 = 140825 15 = 108862
16 = 81717 17 = 58438 18 = 39506 19 = 25703 20 = 15807 21 = 9313 22 = 5057 23 = 2762
24 = 1377 25 = 671 26 = 297 27 = 117 28 = 48 29 = 11 30 = 3 31 = 0
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 2467102
0 = 0.36% 1 = 0.79% 2 = 1.36% 3 = 2.47% 4 = 3.86% 5 = 5.16% 6 = 6.57% 7 = 8.07%
8 = 8.88% 9 = 9.36% 10 = 9.39% 11 = 8.93% 12 = 8.02% 13 = 6.89% 14 = 5.71% 15 = 4.41%
16 = 3.31% 17 = 2.37% 18 = 1.60% 19 = 1.04% 20 = 0.64% 21 = 0.38% 22 = 0.20% 23 = 0.11%
24 = 0.06% 25 = 0.03% 26 = 0.01% 27 = 0.00% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00%
average HCP is 9.996
0 = 0.36% 1 = 1.16% 2 = 2.51% 3 = 4.99% 4 = 8.85% 5 = 14.01% 6 = 20.58% 7 = 28.65%
8 = 37.53% 9 = 46.89% 10 = 56.27% 11 = 65.21% 12 = 73.23% 13 = 80.12% 14 = 85.83% 15 = 90.24%
16 = 93.55% 17 = 95.92% 18 = 97.52% 19 = 98.56% 20 = 99.20% 21 = 99.58% 22 = 99.79% 23 = 99.90%
24 = 99.95% 25 = 99.98% 26 = 99.99% 27 = 100.00% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00%
total count is 2467102 average is 10.00 variance is 17.07 standard deviation is 4.13

**** Long suit point
0 = 865748 1 = 993573 2 = 473336 3 = 117235 4 = 16019 5 = 1152 6 = 37 7 = 2
8 = 0 9 = 0 10 = 0 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
total count is 2467102
0 = 35.09% 1 = 40.27% 2 = 19.19% 3 = 4.75% 4 = 0.65% 5 = 0.05% 6 = 0.00% 7 = 0.00%
8 = 0.00% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
average long suit point is 0.957
**** total short suit point
0 = 590104 1 = 911125 2 = 668809 3 = 250599 4 = 41474 5 = 4713 6 = 277 7 = 1
8 = 0 9 = 0
total count is 2467102
0 = 23.92% 1 = 36.93% 2 = 27.11% 3 = 10.16% 4 = 1.68% 5 = 0.19% 6 = 0.01% 7 = 0.00%
8 = 0.00% 9 = 0.00%
average short suit point is 1.294
**** total HCL high card plus length point
0 = 3676 1 = 11034 2 = 21989 3 = 39729 4 = 65736 5 = 96111 6 = 128818 7 = 163056
8 = 193606 9 = 214447 10 = 225571 11 = 225840 12 = 215486 13 = 195497 14 = 168722 15 = 139421
16 = 110673 17 = 83453 18 = 59685 19 = 40773 20 = 26559 21 = 16680 22 = 9740 23 = 5364
24 = 2852 25 = 1480 26 = 623 27 = 299 28 = 119 29 = 44 30 = 17 31 = 2
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2467102
0 = 0.15% 1 = 0.45% 2 = 0.89% 3 = 1.61% 4 = 2.66% 5 = 3.90% 6 = 5.22% 7 = 6.61%
8 = 7.85% 9 = 8.69% 10 = 9.14% 11 = 9.15% 12 = 8.73% 13 = 7.92% 14 = 6.84% 15 = 5.65%
16 = 4.49% 17 = 3.38% 18 = 2.42% 19 = 1.65% 20 = 1.08% 21 = 0.68% 22 = 0.39% 23 = 0.22%
24 = 0.12% 25 = 0.06% 26 = 0.03% 27 = 0.01% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
average HCL (high card plus length point) is 10.954
0 = 0.15% 1 = 0.60% 2 = 1.49% 3 = 3.10% 4 = 5.76% 5 = 9.66% 6 = 14.88% 7 = 21.49%
8 = 29.34% 9 = 38.03% 10 = 47.17% 11 = 56.33% 12 = 65.06% 13 = 72.98% 14 = 79.82% 15 = 85.47%
16 = 89.96% 17 = 93.34% 18 = 95.76% 19 = 97.41% 20 = 98.49% 21 = 99.17% 22 = 99.56% 23 = 99.78%
24 = 99.90% 25 = 99.96% 26 = 99.98% 27 = 99.99% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
total count is 2467102 average is 10.95 variance is 17.86 standard deviation is 4.23

**** total point include HCP long suit and short suit point
0 = 1130 1 = 5094 2 = 11650 3 = 23023 4 = 40390 5 = 62950 6 = 91089 7 = 121877
8 = 152134 9 = 180143 10 = 201123 11 = 213542 12 = 217277 13 = 209445 14 = 194052 15 = 172371
16 = 146370 17 = 119588 18 = 93296 19 = 70149 20 = 50331 21 = 34725 22 = 22453 23 = 14486
24 = 8430 25 = 4958 26 = 2624 27 = 1300 28 = 608 29 = 297 30 = 126 31 = 46
32 = 23 33 = 2 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2467102
0 = 0.05% 1 = 0.21% 2 = 0.47% 3 = 0.93% 4 = 1.64% 5 = 2.55% 6 = 3.69% 7 = 4.94%
8 = 6.17% 9 = 7.30% 10 = 8.15% 11 = 8.66% 12 = 8.81% 13 = 8.49% 14 = 7.87% 15 = 6.99%
16 = 5.93% 17 = 4.85% 18 = 3.78% 19 = 2.84% 20 = 2.04% 21 = 1.41% 22 = 0.91% 23 = 0.59%
24 = 0.34% 25 = 0.20% 26 = 0.11% 27 = 0.05% 28 = 0.02% 29 = 0.01% 30 = 0.01% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
average total point is 12.247
0 = 0.05% 1 = 0.25% 2 = 0.72% 3 = 1.66% 4 = 3.29% 5 = 5.85% 6 = 9.54% 7 = 14.48%
8 = 20.65% 9 = 27.95% 10 = 36.10% 11 = 44.75% 12 = 53.56% 13 = 62.05% 14 = 69.92% 15 = 76.90%
16 = 82.84% 17 = 87.68% 18 = 91.47% 19 = 94.31% 20 = 96.35% 21 = 97.76% 22 = 98.67% 23 = 99.25%
24 = 99.60% 25 = 99.80% 26 = 99.90% 27 = 99.96% 28 = 99.98% 29 = 99.99% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
total count is 2467102 average is 12.25 variance is 19.70 standard deviation is 4.44

**** special point count
0 = 8939 1 = 19563 2 = 37490 3 = 61586 4 = 62823 5 = 55346 6 = 95045 7 = 139237
8 = 148571 9 = 146327 10 = 154674 11 = 142711 12 = 168462 13 = 182135 14 = 166224 15 = 126070
16 = 129773 17 = 115465 18 = 109458 19 = 89091 20 = 76653 21 = 49870 22 = 48394 23 = 37743
24 = 30692 25 = 18698 26 = 15682 27 = 9210 28 = 7756 29 = 5012 30 = 3661 31 = 1559
32 = 1364 33 = 791 34 = 515 35 = 218 36 = 165 37 = 59 38 = 44 39 = 24
40 = 1 41 = 1 42 = 0 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2467102
average special point is 12.680
total count is 2467102 average is 12.68 variance is 33.36 standard deviation is 5.78

**** special point with adjustment
0 = 8939 1 = 19563 2 = 37490 3 = 61586 4 = 62823 5 = 55346 6 = 95045 7 = 139237
8 = 148571 9 = 146327 10 = 154674 11 = 142711 12 = 168462 13 = 182135 14 = 166224 15 = 126070
16 = 129773 17 = 115465 18 = 109458 19 = 89091 20 = 76653 21 = 49870 22 = 48394 23 = 37743
24 = 30692 25 = 18698 26 = 15682 27 = 9210 28 = 7756 29 = 5012 30 = 3661 31 = 1559
32 = 1364 33 = 791 34 = 515 35 = 218 36 = 165 37 = 59 38 = 44 39 = 24
40 = 1 41 = 1 42 = 0 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2467102
0 = 0.36% 1 = 0.79% 2 = 1.52% 3 = 2.50% 4 = 2.55% 5 = 2.24% 6 = 3.85% 7 = 5.64%
8 = 6.02% 9 = 5.93% 10 = 6.27% 11 = 5.78% 12 = 6.83% 13 = 7.38% 14 = 6.74% 15 = 5.11%
16 = 5.26% 17 = 4.68% 18 = 4.44% 19 = 3.61% 20 = 3.11% 21 = 2.02% 22 = 1.96% 23 = 1.53%
24 = 1.24% 25 = 0.76% 26 = 0.64% 27 = 0.37% 28 = 0.31% 29 = 0.20% 30 = 0.15% 31 = 0.06%
32 = 0.06% 33 = 0.03% 34 = 0.02% 35 = 0.01% 36 = 0.01% 37 = 0.00% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average special point with adjustment is 12.680
total count is 2467102 average is 12.68 variance is 33.36 standard deviation is 5.78

**** special point with adjustment and long suit point
total count is 2467102
0 = 0.15% 1 = 0.45% 2 = 0.96% 3 = 1.66% 4 = 2.25% 5 = 2.36% 6 = 2.88% 7 = 4.02%
8 = 5.25% 9 = 5.73% 10 = 6.05% 11 = 6.01% 12 = 6.23% 13 = 6.67% 14 = 6.92% 15 = 6.38%
16 = 5.68% 17 = 5.10% 18 = 4.72% 19 = 4.22% 20 = 3.71% 21 = 2.96% 22 = 2.34% 23 = 1.88%
24 = 1.54% 25 = 1.17% 26 = 0.86% 27 = 0.60% 28 = 0.42% 29 = 0.29% 30 = 0.21% 31 = 0.13%
32 = 0.08% 33 = 0.05% 34 = 0.03% 35 = 0.02% 36 = 0.01% 37 = 0.01% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average SPL is 13.638
0 = 0.15% 1 = 0.60% 2 = 1.56% 3 = 3.21% 4 = 5.46% 5 = 7.82% 6 = 10.70% 7 = 14.72%
8 = 19.97% 9 = 25.70% 10 = 31.75% 11 = 37.76% 12 = 43.99% 13 = 50.66% 14 = 57.57% 15 = 63.96%
16 = 69.64% 17 = 74.74% 18 = 79.46% 19 = 83.68% 20 = 87.39% 21 = 90.35% 22 = 92.69% 23 = 94.57%
24 = 96.12% 25 = 97.28% 26 = 98.15% 27 = 98.74% 28 = 99.17% 29 = 99.46% 30 = 99.67% 31 = 99.80%
32 = 99.88% 33 = 99.93% 34 = 99.96% 35 = 99.98% 36 = 99.99% 37 = 99.99% 38 = 100.00% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 13.64 variance is 34.15 standard deviation is 5.84

**** Special point with adjustment and long suit and short suit point
total count is 2467102
0 = 0.05% 1 = 0.21% 2 = 0.52% 3 = 1.03% 4 = 1.52% 5 = 1.89% 6 = 2.33% 7 = 3.08%
8 = 3.93% 9 = 4.76% 10 = 5.24% 11 = 5.71% 12 = 5.89% 13 = 6.32% 14 = 6.47% 15 = 6.48%
16 = 6.14% 17 = 5.84% 18 = 5.30% 19 = 4.90% 20 = 4.29% 21 = 3.80% 22 = 3.11% 23 = 2.66%
24 = 2.12% 25 = 1.73% 26 = 1.29% 27 = 1.02% 28 = 0.73% 29 = 0.55% 30 = 0.37% 31 = 0.26%
32 = 0.17% 33 = 0.12% 34 = 0.07% 35 = 0.04% 36 = 0.02% 37 = 0.02% 38 = 0.01% 39 = 0.01%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average SPLS is 14.932
0 = 0.05% 1 = 0.25% 2 = 0.77% 3 = 1.80% 4 = 3.32% 5 = 5.21% 6 = 7.54% 7 = 10.62%
8 = 14.55% 9 = 19.31% 10 = 24.55% 11 = 30.25% 12 = 36.15% 13 = 42.47% 14 = 48.94% 15 = 55.43%
16 = 61.56% 17 = 67.40% 18 = 72.70% 19 = 77.60% 20 = 81.89% 21 = 85.69% 22 = 88.80% 23 = 91.46%
24 = 93.58% 25 = 95.31% 26 = 96.61% 27 = 97.63% 28 = 98.36% 29 = 98.90% 30 = 99.27% 31 = 99.54%
32 = 99.71% 33 = 99.83% 34 = 99.90% 35 = 99.94% 36 = 99.97% 37 = 99.98% 38 = 99.99% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 14.93 variance is 36.28 standard deviation is 6.02

**** Losing trick count
0 = 0 1 = 1 2 = 230 3 = 5272 4 = 39302 5 = 154628 6 = 370031 7 = 584357
8 = 618039 9 = 438399 10 = 199329 11 = 51917 12 = 5597
losing trick count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.21% 4 = 1.59% 5 = 6.27% 6 = 15.00% 7 = 23.69%
8 = 25.05% 9 = 17.77% 10 = 8.08% 11 = 2.10% 12 = 0.23%
average losing trick count is 7.612
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.22% 4 = 1.82% 5 = 8.08% 6 = 23.08% 7 = 46.77%
8 = 71.82% 9 = 89.59% 10 = 97.67% 11 = 99.77% 12 = 100.00%
total count is 2467102 average is 7.61 variance is 2.29 standard deviation is 1.51

**** Control count (A = 2, K = 1)
0 = 201752 1 = 328205 2 = 507537 3 = 514124 4 = 412666 5 = 275679 6 = 140617 7 = 60373
8 = 19945 9 = 5091 10 = 990 11 = 122 12 = 1
control count is 2467102
0 = 8.18% 1 = 13.30% 2 = 20.57% 3 = 20.84% 4 = 16.73% 5 = 11.17% 6 = 5.70% 7 = 2.45%
8 = 0.81% 9 = 0.21% 10 = 0.04% 11 = 0.00% 12 = 0.00%
average control count is 2.999
0 = 8.18% 1 = 21.48% 2 = 42.05% 3 = 62.89% 4 = 79.62% 5 = 90.79% 6 = 96.49% 7 = 98.94%
8 = 99.75% 9 = 99.95% 10 = 100.00% 11 = 100.00% 12 = 100.00%

**** total distribution
4432 = 531997 5332 = 382996 5431 = 318841 5422 = 261117 4333 = 260156 6322 = 138811
6421 = 116411 6331 = 84953 5521 = 78634 4441 = 73595 7321 = 46089 6430 = 32589
5440 = 30619 5530 = 21938 6511 = 17543 6520 = 16076 7222 = 12590 7411 = 9625
7420 = 8891 7330 = 6421 8221 = 4827 8311 = 2927 8320 = 2764 7510 = 2662
6610 = 1740 8410 = 1099 9211 = 467 9310 = 250 9220 = 179 7600 = 144
8500 = 84 10210 = 22 9400 = 28 10111 = 13 10300 = 2 11110 = 0
11200 = 2 12100 = 0 13000 = 0
total count is 2467102
4432 = 21.56% 5332 = 15.52% 5431 = 12.92% 5422 = 10.58% 4333 = 10.55% 6322 = 5.63%
6421 = 4.72% 6331 = 3.44% 5521 = 3.19% 4441 = 2.98% 7321 = 1.87% 6430 = 1.32%
5440 = 1.24% 5530 = 0.89% 6511 = 0.71% 6520 = 0.65% 7222 = 0.51% 7411 = 0.39%
7420 = 0.36% 7330 = 0.26% 8221 = 0.20% 8311 = 0.12% 8320 = 0.11% 7510 = 0.11%
6610 = 0.07% 8410 = 0.04% 9211 = 0.02% 9310 = 0.01% 9220 = 0.01% 7600 = 0.01%
8500 = 0.00% 10210 = 0.00% 9400 = 0.00% 10111 = 0.00% 10300 = 0.00% 11110 = 0.00%
11200 = 0.00% 12100 = 0.00% 13000 = 0.00%

**************** East hand statistic ****************
** spade high card point average HCP is 2.499
0 = 30.40% 30.40% 1 = 10.99% 41.39% 2 = 10.98% 52.37% 3 = 14.52% 66.88% 4 = 14.51% 81.39%
5 = 7.11% 88.50% 6 = 4.57% 93.07% 7 = 4.60% 97.67% 8 = 1.03% 98.70% 9 = 1.04% 99.74%
10 = 0.26% 100.00%
** heart high card point average HCP is 2.497
0 = 30.40% 30.40% 1 = 10.99% 41.39% 2 = 10.99% 52.38% 3 = 14.52% 66.91% 4 = 14.51% 81.42%
5 = 7.12% 88.54% 6 = 4.59% 93.13% 7 = 4.56% 97.69% 8 = 1.02% 98.71% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** diamond high card point average HCP is 2.499
0 = 30.37% 30.37% 1 = 10.97% 41.34% 2 = 10.99% 52.33% 3 = 14.55% 66.87% 4 = 14.53% 81.40%
5 = 7.13% 88.53% 6 = 4.57% 93.11% 7 = 4.58% 97.69% 8 = 1.03% 98.71% 9 = 1.02% 99.74%
10 = 0.26% 100.00%
** club high card point average HCP is 2.501
0 = 30.37% 30.37% 1 = 10.98% 41.35% 2 = 10.99% 52.34% 3 = 14.52% 66.86% 4 = 14.50% 81.36%
5 = 7.10% 88.46% 6 = 4.60% 93.06% 7 = 4.61% 97.66% 8 = 1.04% 98.71% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** space suit length average length is 3.250
0 = 1.28% 1.28% 1 = 8.01% 9.29% 2 = 20.58% 29.88% 3 = 28.61% 58.49% 4 = 23.91% 82.39%
5 = 12.44% 94.84% 6 = 4.15% 98.98% 7 = 0.89% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** heart suit length average length is 3.248
0 = 1.27% 1.27% 1 = 8.02% 9.30% 2 = 20.60% 29.89% 3 = 28.64% 58.54% 4 = 23.88% 82.42%
5 = 12.45% 94.87% 6 = 4.14% 99.00% 7 = 0.87% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** diamond suit length average length is 3.250
0 = 1.27% 1.27% 1 = 8.01% 9.29% 2 = 20.58% 29.86% 3 = 28.63% 58.50% 4 = 23.87% 82.37%
5 = 12.48% 94.85% 6 = 4.15% 99.00% 7 = 0.87% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** club suit length average length is 3.252
0 = 1.27% 1.27% 1 = 7.97% 9.25% 2 = 20.63% 29.88% 3 = 28.58% 58.45% 4 = 23.87% 82.32%
5 = 12.50% 94.82% 6 = 4.17% 98.98% 7 = 0.89% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%

**** total HCP
0 = 9031 1 = 19468 2 = 33446 3 = 61085 4 = 94688 5 = 128568 6 = 161414 7 = 198132
8 = 220205 9 = 230233 10 = 231480 11 = 221222 12 = 197791 13 = 170436 14 = 140304 15 = 109268
16 = 81844 17 = 57931 18 = 39577 19 = 25430 20 = 15844 21 = 9334 22 = 5150 23 = 2743
24 = 1353 25 = 650 26 = 306 27 = 111 28 = 41 29 = 12 30 = 4 31 = 0
32 = 1 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 2467102
0 = 0.37% 1 = 0.79% 2 = 1.36% 3 = 2.48% 4 = 3.84% 5 = 5.21% 6 = 6.54% 7 = 8.03%
8 = 8.93% 9 = 9.33% 10 = 9.38% 11 = 8.97% 12 = 8.02% 13 = 6.91% 14 = 5.69% 15 = 4.43%
16 = 3.32% 17 = 2.35% 18 = 1.60% 19 = 1.03% 20 = 0.64% 21 = 0.38% 22 = 0.21% 23 = 0.11%
24 = 0.05% 25 = 0.03% 26 = 0.01% 27 = 0.00% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00%
average HCP is 9.996
0 = 0.37% 1 = 1.16% 2 = 2.51% 3 = 4.99% 4 = 8.82% 5 = 14.04% 6 = 20.58% 7 = 28.61%
8 = 37.54% 9 = 46.87% 10 = 56.25% 11 = 65.22% 12 = 73.23% 13 = 80.14% 14 = 85.83% 15 = 90.26%
16 = 93.58% 17 = 95.92% 18 = 97.53% 19 = 98.56% 20 = 99.20% 21 = 99.58% 22 = 99.79% 23 = 99.90%
24 = 99.95% 25 = 99.98% 26 = 99.99% 27 = 100.00% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00%
total count is 2467102 average is 10.00 variance is 17.05 standard deviation is 4.13

**** Long suit point
0 = 866081 1 = 993671 2 = 472835 3 = 117315 4 = 16043 5 = 1118 6 = 38 7 = 1
8 = 0 9 = 0 10 = 0 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
total count is 2467102
0 = 35.11% 1 = 40.28% 2 = 19.17% 3 = 4.76% 4 = 0.65% 5 = 0.05% 6 = 0.00% 7 = 0.00%
8 = 0.00% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
average long suit point is 0.957
**** total short suit point
0 = 589404 1 = 911403 2 = 669917 3 = 250054 4 = 41239 5 = 4817 6 = 267 7 = 1
8 = 0 9 = 0
total count is 2467102
0 = 23.89% 1 = 36.94% 2 = 27.15% 3 = 10.14% 4 = 1.67% 5 = 0.20% 6 = 0.01% 7 = 0.00%
8 = 0.00% 9 = 0.00%
average short suit point is 1.294
**** total HCL high card plus length point
0 = 3674 1 = 11034 2 = 21941 3 = 39707 4 = 65666 5 = 96544 6 = 128661 7 = 162947
8 = 193098 9 = 214907 10 = 225078 11 = 226395 12 = 215750 13 = 195140 14 = 168926 15 = 140165
16 = 110140 17 = 82964 18 = 59923 19 = 40629 20 = 26769 21 = 16520 22 = 9733 23 = 5402
24 = 2883 25 = 1433 26 = 627 27 = 292 28 = 94 29 = 46 30 = 11 31 = 2
32 = 0 33 = 1 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2467102
0 = 0.15% 1 = 0.45% 2 = 0.89% 3 = 1.61% 4 = 2.66% 5 = 3.91% 6 = 5.22% 7 = 6.60%
8 = 7.83% 9 = 8.71% 10 = 9.12% 11 = 9.18% 12 = 8.75% 13 = 7.91% 14 = 6.85% 15 = 5.68%
16 = 4.46% 17 = 3.36% 18 = 2.43% 19 = 1.65% 20 = 1.09% 21 = 0.67% 22 = 0.39% 23 = 0.22%
24 = 0.12% 25 = 0.06% 26 = 0.03% 27 = 0.01% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
average HCL (high card plus length point) is 10.953
0 = 0.15% 1 = 0.60% 2 = 1.49% 3 = 3.09% 4 = 5.76% 5 = 9.67% 6 = 14.88% 7 = 21.49%
8 = 29.32% 9 = 38.03% 10 = 47.15% 11 = 56.33% 12 = 65.07% 13 = 72.98% 14 = 79.83% 15 = 85.51%
16 = 89.97% 17 = 93.34% 18 = 95.77% 19 = 97.41% 20 = 98.50% 21 = 99.17% 22 = 99.56% 23 = 99.78%
24 = 99.90% 25 = 99.96% 26 = 99.98% 27 = 99.99% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
total count is 2467102 average is 10.95 variance is 17.85 standard deviation is 4.23

**** total point include HCP long suit and short suit point
0 = 1152 1 = 5108 2 = 11648 3 = 22948 4 = 40387 5 = 63315 6 = 90531 7 = 121680
8 = 152643 9 = 180060 10 = 200846 11 = 214427 12 = 216377 13 = 209761 14 = 193778 15 = 172765
16 = 146487 17 = 119255 18 = 93467 19 = 70303 20 = 50193 21 = 34648 22 = 22516 23 = 14413
24 = 8521 25 = 4954 26 = 2551 27 = 1367 28 = 570 29 = 260 30 = 115 31 = 35
32 = 15 33 = 4 34 = 2 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2467102
0 = 0.05% 1 = 0.21% 2 = 0.47% 3 = 0.93% 4 = 1.64% 5 = 2.57% 6 = 3.67% 7 = 4.93%
8 = 6.19% 9 = 7.30% 10 = 8.14% 11 = 8.69% 12 = 8.77% 13 = 8.50% 14 = 7.85% 15 = 7.00%
16 = 5.94% 17 = 4.83% 18 = 3.79% 19 = 2.85% 20 = 2.03% 21 = 1.40% 22 = 0.91% 23 = 0.58%
24 = 0.35% 25 = 0.20% 26 = 0.10% 27 = 0.06% 28 = 0.02% 29 = 0.01% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
average total point is 12.247
0 = 0.05% 1 = 0.25% 2 = 0.73% 3 = 1.66% 4 = 3.29% 5 = 5.86% 6 = 9.53% 7 = 14.46%
8 = 20.65% 9 = 27.95% 10 = 36.09% 11 = 44.78% 12 = 53.55% 13 = 62.05% 14 = 69.91% 15 = 76.91%
16 = 82.85% 17 = 87.68% 18 = 91.47% 19 = 94.32% 20 = 96.35% 21 = 97.76% 22 = 98.67% 23 = 99.25%
24 = 99.60% 25 = 99.80% 26 = 99.90% 27 = 99.96% 28 = 99.98% 29 = 99.99% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
total count is 2467102 average is 12.25 variance is 19.69 standard deviation is 4.44

**** special point count
0 = 9031 1 = 19468 2 = 37385 3 = 61520 4 = 63209 5 = 54733 6 = 94912 7 = 140138
8 = 148813 9 = 145999 10 = 154056 11 = 142491 12 = 168039 13 = 182022 14 = 167111 15 = 126400
16 = 130904 17 = 114158 18 = 109725 19 = 89756 20 = 76468 21 = 49674 22 = 48294 23 = 37293
24 = 30453 25 = 18903 26 = 15635 27 = 9189 28 = 7958 29 = 5045 30 = 3559 31 = 1669
32 = 1338 33 = 700 34 = 553 35 = 212 36 = 171 37 = 53 38 = 43 39 = 11
40 = 9 41 = 0 42 = 1 43 = 0 44 = 1 45 = 0 46 = 0 47 = 0
total count is 2467102
average special point is 12.680
total count is 2467102 average is 12.68 variance is 33.34 standard deviation is 5.77

**** special point with adjustment
0 = 9031 1 = 19468 2 = 37385 3 = 61520 4 = 63209 5 = 54733 6 = 94912 7 = 140138
8 = 148813 9 = 145999 10 = 154056 11 = 142491 12 = 168039 13 = 182022 14 = 167111 15 = 126400
16 = 130904 17 = 114158 18 = 109725 19 = 89756 20 = 76468 21 = 49674 22 = 48294 23 = 37293
24 = 30453 25 = 18903 26 = 15635 27 = 9189 28 = 7958 29 = 5045 30 = 3559 31 = 1669
32 = 1338 33 = 700 34 = 553 35 = 212 36 = 171 37 = 53 38 = 43 39 = 11
40 = 9 41 = 0 42 = 1 43 = 0 44 = 1 45 = 0 46 = 0 47 = 0
total count is 2467102
0 = 0.37% 1 = 0.79% 2 = 1.52% 3 = 2.49% 4 = 2.56% 5 = 2.22% 6 = 3.85% 7 = 5.68%
8 = 6.03% 9 = 5.92% 10 = 6.24% 11 = 5.78% 12 = 6.81% 13 = 7.38% 14 = 6.77% 15 = 5.12%
16 = 5.31% 17 = 4.63% 18 = 4.45% 19 = 3.64% 20 = 3.10% 21 = 2.01% 22 = 1.96% 23 = 1.51%
24 = 1.23% 25 = 0.77% 26 = 0.63% 27 = 0.37% 28 = 0.32% 29 = 0.20% 30 = 0.14% 31 = 0.07%
32 = 0.05% 33 = 0.03% 34 = 0.02% 35 = 0.01% 36 = 0.01% 37 = 0.00% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average special point with adjustment is 12.680
total count is 2467102 average is 12.68 variance is 33.34 standard deviation is 5.77

**** special point with adjustment and long suit point
total count is 2467102
0 = 0.15% 1 = 0.45% 2 = 0.95% 3 = 1.66% 4 = 2.25% 5 = 2.36% 6 = 2.87% 7 = 4.03%
8 = 5.24% 9 = 5.76% 10 = 6.06% 11 = 5.98% 12 = 6.20% 13 = 6.67% 14 = 6.94% 15 = 6.37%
16 = 5.73% 17 = 5.09% 18 = 4.73% 19 = 4.23% 20 = 3.73% 21 = 2.94% 22 = 2.34% 23 = 1.86%
24 = 1.54% 25 = 1.17% 26 = 0.86% 27 = 0.60% 28 = 0.43% 29 = 0.30% 30 = 0.21% 31 = 0.13%
32 = 0.08% 33 = 0.05% 34 = 0.03% 35 = 0.02% 36 = 0.01% 37 = 0.01% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average SPL is 13.637
0 = 0.15% 1 = 0.60% 2 = 1.55% 3 = 3.21% 4 = 5.46% 5 = 7.82% 6 = 10.70% 7 = 14.72%
8 = 19.96% 9 = 25.72% 10 = 31.78% 11 = 37.76% 12 = 43.95% 13 = 50.62% 14 = 57.56% 15 = 63.93%
16 = 69.66% 17 = 74.74% 18 = 79.47% 19 = 83.70% 20 = 87.43% 21 = 90.37% 22 = 92.71% 23 = 94.57%
24 = 96.11% 25 = 97.28% 26 = 98.14% 27 = 98.74% 28 = 99.16% 29 = 99.46% 30 = 99.67% 31 = 99.80%
32 = 99.88% 33 = 99.93% 34 = 99.96% 35 = 99.98% 36 = 99.99% 37 = 100.00% 38 = 100.00% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 13.64 variance is 34.14 standard deviation is 5.84

**** Special point with adjustment and long suit and short suit point
total count is 2467102
0 = 0.05% 1 = 0.21% 2 = 0.52% 3 = 1.03% 4 = 1.52% 5 = 1.90% 6 = 2.32% 7 = 3.09%
8 = 3.91% 9 = 4.75% 10 = 5.29% 11 = 5.69% 12 = 5.89% 13 = 6.30% 14 = 6.44% 15 = 6.53%
16 = 6.11% 17 = 5.84% 18 = 5.28% 19 = 4.94% 20 = 4.30% 21 = 3.78% 22 = 3.15% 23 = 2.65%
24 = 2.10% 25 = 1.72% 26 = 1.30% 27 = 1.01% 28 = 0.74% 29 = 0.55% 30 = 0.37% 31 = 0.27%
32 = 0.17% 33 = 0.12% 34 = 0.07% 35 = 0.04% 36 = 0.03% 37 = 0.02% 38 = 0.01% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average SPLS is 14.931
0 = 0.05% 1 = 0.25% 2 = 0.77% 3 = 1.80% 4 = 3.32% 5 = 5.22% 6 = 7.54% 7 = 10.63%
8 = 14.54% 9 = 19.29% 10 = 24.58% 11 = 30.27% 12 = 36.17% 13 = 42.47% 14 = 48.91% 15 = 55.44%
16 = 61.55% 17 = 67.39% 18 = 72.67% 19 = 77.61% 20 = 81.91% 21 = 85.69% 22 = 88.83% 23 = 91.49%
24 = 93.59% 25 = 95.31% 26 = 96.61% 27 = 97.62% 28 = 98.35% 29 = 98.90% 30 = 99.28% 31 = 99.55%
32 = 99.71% 33 = 99.83% 34 = 99.90% 35 = 99.94% 36 = 99.97% 37 = 99.98% 38 = 99.99% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 14.93 variance is 36.27 standard deviation is 6.02

**** Losing trick count
0 = 0 1 = 0 2 = 201 3 = 5205 4 = 39059 5 = 154365 6 = 371837 7 = 582601
8 = 619007 9 = 439019 10 = 198568 11 = 51589 12 = 5651
losing trick count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.21% 4 = 1.58% 5 = 6.26% 6 = 15.07% 7 = 23.61%
8 = 25.09% 9 = 17.79% 10 = 8.05% 11 = 2.09% 12 = 0.23%
average losing trick count is 7.611
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.22% 4 = 1.80% 5 = 8.06% 6 = 23.13% 7 = 46.75%
8 = 71.84% 9 = 89.63% 10 = 97.68% 11 = 99.77% 12 = 100.00%
total count is 2467102 average is 7.61 variance is 2.28 standard deviation is 1.51

**** Control count (A = 2, K = 1)
0 = 201742 1 = 328317 2 = 506622 3 = 515122 4 = 413429 5 = 274965 6 = 140064 7 = 60643
8 = 20047 9 = 5062 10 = 973 11 = 114 12 = 2
control count is 2467102
0 = 8.18% 1 = 13.31% 2 = 20.54% 3 = 20.88% 4 = 16.76% 5 = 11.15% 6 = 5.68% 7 = 2.46%
8 = 0.81% 9 = 0.21% 10 = 0.04% 11 = 0.00% 12 = 0.00%
average control count is 2.998
0 = 8.18% 1 = 21.49% 2 = 42.02% 3 = 62.90% 4 = 79.66% 5 = 90.80% 6 = 96.48% 7 = 98.94%
8 = 99.75% 9 = 99.96% 10 = 100.00% 11 = 100.00% 12 = 100.00%

**** total distribution
4432 = 532042 5332 = 381890 5431 = 319080 5422 = 262032 4333 = 260059 6322 = 139171
6421 = 115860 6331 = 84986 5521 = 78190 4441 = 73980 7321 = 46073 6430 = 32546
5440 = 30669 5530 = 22082 6511 = 17405 6520 = 15967 7222 = 12713 7411 = 9741
7420 = 8851 7330 = 6565 8221 = 4910 8311 = 2942 8320 = 2585 7510 = 2686
6610 = 1810 8410 = 1110 9211 = 450 9310 = 234 9220 = 188 7600 = 145
8500 = 77 10210 = 28 9400 = 24 10111 = 5 10300 = 5 11110 = 0
11200 = 1 12100 = 0 13000 = 0
total count is 2467102
4432 = 21.57% 5332 = 15.48% 5431 = 12.93% 5422 = 10.62% 4333 = 10.54% 6322 = 5.64%
6421 = 4.70% 6331 = 3.44% 5521 = 3.17% 4441 = 3.00% 7321 = 1.87% 6430 = 1.32%
5440 = 1.24% 5530 = 0.90% 6511 = 0.71% 6520 = 0.65% 7222 = 0.52% 7411 = 0.39%
7420 = 0.36% 7330 = 0.27% 8221 = 0.20% 8311 = 0.12% 8320 = 0.10% 7510 = 0.11%
6610 = 0.07% 8410 = 0.04% 9211 = 0.02% 9310 = 0.01% 9220 = 0.01% 7600 = 0.01%
8500 = 0.00% 10210 = 0.00% 9400 = 0.00% 10111 = 0.00% 10300 = 0.00% 11110 = 0.00%
11200 = 0.00% 12100 = 0.00% 13000 = 0.00%

**************** West hand statistic ****************
** spade high card point average HCP is 2.501
0 = 30.37% 30.37% 1 = 10.98% 41.35% 2 = 10.96% 52.31% 3 = 14.54% 66.86% 4 = 14.52% 81.38%
5 = 7.10% 88.48% 6 = 4.59% 93.07% 7 = 4.60% 97.67% 8 = 1.03% 98.70% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** heart high card point average HCP is 2.502
0 = 30.38% 30.38% 1 = 10.97% 41.36% 2 = 10.95% 52.31% 3 = 14.47% 66.78% 4 = 14.60% 81.37%
5 = 7.09% 88.47% 6 = 4.60% 93.07% 7 = 4.59% 97.66% 8 = 1.03% 98.69% 9 = 1.04% 99.73%
10 = 0.27% 100.00%
** diamond high card point average HCP is 2.501
0 = 30.34% 30.34% 1 = 10.96% 41.30% 2 = 10.99% 52.29% 3 = 14.57% 66.86% 4 = 14.50% 81.37%
5 = 7.11% 88.47% 6 = 4.63% 93.10% 7 = 4.58% 97.68% 8 = 1.03% 98.70% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** club high card point average HCP is 2.501
0 = 30.40% 30.40% 1 = 10.93% 41.33% 2 = 10.97% 52.30% 3 = 14.57% 66.87% 4 = 14.51% 81.38%
5 = 7.11% 88.48% 6 = 4.59% 93.08% 7 = 4.58% 97.66% 8 = 1.04% 98.70% 9 = 1.03% 99.73%
10 = 0.27% 100.00%
** space suit length average length is 3.249
0 = 1.29% 1.29% 1 = 8.00% 9.29% 2 = 20.57% 29.85% 3 = 28.69% 58.54% 4 = 23.86% 82.39%
5 = 12.47% 94.86% 6 = 4.13% 98.99% 7 = 0.88% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** heart suit length average length is 3.250
0 = 1.28% 1.28% 1 = 8.02% 9.30% 2 = 20.57% 29.87% 3 = 28.65% 58.52% 4 = 23.81% 82.33%
5 = 12.50% 94.82% 6 = 4.17% 99.00% 7 = 0.88% 99.88% 8 = 0.11% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** diamond suit length average length is 3.250
0 = 1.28% 1.28% 1 = 7.97% 9.25% 2 = 20.58% 29.82% 3 = 28.68% 58.50% 4 = 23.88% 82.38%
5 = 12.47% 94.85% 6 = 4.15% 99.00% 7 = 0.87% 99.87% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%
** club suit length average length is 3.250
0 = 1.28% 1.28% 1 = 7.99% 9.27% 2 = 20.59% 29.86% 3 = 28.69% 58.55% 4 = 23.80% 82.35%
5 = 12.48% 94.83% 6 = 4.16% 98.99% 7 = 0.89% 99.88% 8 = 0.12% 99.99% 9 = 0.01% 100.00%
10 = 0.00% 100.00% 11 = 0.00% 100.00% 12 = 0.00% 100.00% 13 = 0.00% 100.00%

**** total HCP
0 = 8889 1 = 19455 2 = 33294 3 = 60992 4 = 94991 5 = 127503 6 = 162249 7 = 197761
8 = 219216 9 = 230119 10 = 231151 11 = 221179 12 = 197995 13 = 170648 14 = 140487 15 = 109251
16 = 82583 17 = 58202 18 = 39812 19 = 25401 20 = 15765 21 = 9583 22 = 5355 23 = 2797
24 = 1334 25 = 657 26 = 272 27 = 97 28 = 38 29 = 16 30 = 9 31 = 1
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 2467102
0 = 0.36% 1 = 0.79% 2 = 1.35% 3 = 2.47% 4 = 3.85% 5 = 5.17% 6 = 6.58% 7 = 8.02%
8 = 8.89% 9 = 9.33% 10 = 9.37% 11 = 8.97% 12 = 8.03% 13 = 6.92% 14 = 5.69% 15 = 4.43%
16 = 3.35% 17 = 2.36% 18 = 1.61% 19 = 1.03% 20 = 0.64% 21 = 0.39% 22 = 0.22% 23 = 0.11%
24 = 0.05% 25 = 0.03% 26 = 0.01% 27 = 0.00% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00%
average HCP is 10.005
0 = 0.36% 1 = 1.15% 2 = 2.50% 3 = 4.97% 4 = 8.82% 5 = 13.99% 6 = 20.57% 7 = 28.58%
8 = 37.47% 9 = 46.79% 10 = 56.16% 11 = 65.13% 12 = 73.15% 13 = 80.07% 14 = 85.77% 15 = 90.19%
16 = 93.54% 17 = 95.90% 18 = 97.51% 19 = 98.54% 20 = 99.18% 21 = 99.57% 22 = 99.79% 23 = 99.90%
24 = 99.96% 25 = 99.98% 26 = 99.99% 27 = 100.00% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00%
total count is 2467102 average is 10.00 variance is 17.08 standard deviation is 4.13

**** Long suit point
0 = 865190 1 = 994375 2 = 473127 3 = 117480 4 = 15742 5 = 1145 6 = 42 7 = 1
8 = 0 9 = 0 10 = 0 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
total count is 2467102
0 = 35.07% 1 = 40.31% 2 = 19.18% 3 = 4.76% 4 = 0.64% 5 = 0.05% 6 = 0.00% 7 = 0.00%
8 = 0.00% 9 = 0.00% 10 = 0.00% 11 = 0.00% 12 = 0.00% 13 = 0.00% 14 = 0.00% 15 = 0.00%
average long suit point is 0.957
**** total short suit point
0 = 590261 1 = 911192 2 = 668750 3 = 250725 4 = 41143 5 = 4742 6 = 289 7 = 0
8 = 0 9 = 0
total count is 2467102
0 = 23.93% 1 = 36.93% 2 = 27.11% 3 = 10.16% 4 = 1.67% 5 = 0.19% 6 = 0.01% 7 = 0.00%
8 = 0.00% 9 = 0.00%
average short suit point is 1.293
**** total HCL high card plus length point
0 = 3636 1 = 11054 2 = 21743 3 = 39430 4 = 65820 5 = 96596 6 = 128620 7 = 162501
8 = 193090 9 = 213934 10 = 224611 11 = 226041 12 = 216171 13 = 195353 14 = 169410 15 = 139560
16 = 110742 17 = 83707 18 = 59958 19 = 41149 20 = 26501 21 = 16568 22 = 10022 23 = 5467
24 = 2905 25 = 1425 26 = 677 27 = 255 28 = 100 29 = 38 30 = 11 31 = 5
32 = 2 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2467102
0 = 0.15% 1 = 0.45% 2 = 0.88% 3 = 1.60% 4 = 2.67% 5 = 3.92% 6 = 5.21% 7 = 6.59%
8 = 7.83% 9 = 8.67% 10 = 9.10% 11 = 9.16% 12 = 8.76% 13 = 7.92% 14 = 6.87% 15 = 5.66%
16 = 4.49% 17 = 3.39% 18 = 2.43% 19 = 1.67% 20 = 1.07% 21 = 0.67% 22 = 0.41% 23 = 0.22%
24 = 0.12% 25 = 0.06% 26 = 0.03% 27 = 0.01% 28 = 0.00% 29 = 0.00% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
average HCL (high card plus length point) is 10.962
0 = 0.15% 1 = 0.60% 2 = 1.48% 3 = 3.07% 4 = 5.74% 5 = 9.66% 6 = 14.87% 7 = 21.46%
8 = 29.28% 9 = 37.96% 10 = 47.06% 11 = 56.22% 12 = 64.99% 13 = 72.90% 14 = 79.77% 15 = 85.43%
16 = 89.92% 17 = 93.31% 18 = 95.74% 19 = 97.41% 20 = 98.48% 21 = 99.15% 22 = 99.56% 23 = 99.78%
24 = 99.90% 25 = 99.96% 26 = 99.98% 27 = 99.99% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
total count is 2467102 average is 10.96 variance is 17.88 standard deviation is 4.23

**** total point include HCP long suit and short suit point
0 = 1199 1 = 4980 2 = 11380 3 = 23136 4 = 39994 5 = 63522 6 = 91380 7 = 121411
8 = 151839 9 = 179300 10 = 200837 11 = 213029 12 = 216331 13 = 210681 14 = 194193 15 = 172078
16 = 146835 17 = 119857 18 = 94088 19 = 70310 20 = 50197 21 = 35025 22 = 22651 23 = 14318
24 = 8617 25 = 4891 26 = 2595 27 = 1347 28 = 636 29 = 273 30 = 110 31 = 43
32 = 13 33 = 4 34 = 1 35 = 1 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2467102
0 = 0.05% 1 = 0.20% 2 = 0.46% 3 = 0.94% 4 = 1.62% 5 = 2.57% 6 = 3.70% 7 = 4.92%
8 = 6.15% 9 = 7.27% 10 = 8.14% 11 = 8.63% 12 = 8.77% 13 = 8.54% 14 = 7.87% 15 = 6.97%
16 = 5.95% 17 = 4.86% 18 = 3.81% 19 = 2.85% 20 = 2.03% 21 = 1.42% 22 = 0.92% 23 = 0.58%
24 = 0.35% 25 = 0.20% 26 = 0.11% 27 = 0.05% 28 = 0.03% 29 = 0.01% 30 = 0.00% 31 = 0.00%
32 = 0.00% 33 = 0.00% 34 = 0.00% 35 = 0.00% 36 = 0.00% 37 = 0.00% 38 = 0.00% 39 = 0.00%
average total point is 12.255
0 = 0.05% 1 = 0.25% 2 = 0.71% 3 = 1.65% 4 = 3.27% 5 = 5.85% 6 = 9.55% 7 = 14.47%
8 = 20.63% 9 = 27.89% 10 = 36.03% 11 = 44.67% 12 = 53.44% 13 = 61.98% 14 = 69.85% 15 = 76.82%
16 = 82.77% 17 = 87.63% 18 = 91.45% 19 = 94.30% 20 = 96.33% 21 = 97.75% 22 = 98.67% 23 = 99.25%
24 = 99.60% 25 = 99.80% 26 = 99.90% 27 = 99.96% 28 = 99.98% 29 = 99.99% 30 = 100.00% 31 = 100.00%
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00%
total count is 2467102 average is 12.26 variance is 19.71 standard deviation is 4.44

**** special point count
0 = 8889 1 = 19455 2 = 37102 3 = 61460 4 = 63186 5 = 55260 6 = 94912 7 = 139589
8 = 148094 9 = 145846 10 = 153492 11 = 141826 12 = 168590 13 = 183580 14 = 166252 15 = 125913
16 = 130209 17 = 115013 18 = 109770 19 = 90015 20 = 76895 21 = 49837 22 = 48352 23 = 37576
24 = 30536 25 = 18823 26 = 15698 27 = 9248 28 = 8066 29 = 4995 30 = 3861 31 = 1680
32 = 1368 33 = 719 34 = 486 35 = 254 36 = 153 37 = 38 38 = 30 39 = 23
40 = 6 41 = 1 42 = 3 43 = 1 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2467102
average special point is 12.692
total count is 2467102 average is 12.69 variance is 33.39 standard deviation is 5.78

**** special point with adjustment
0 = 8889 1 = 19455 2 = 37102 3 = 61460 4 = 63186 5 = 55260 6 = 94912 7 = 139589
8 = 148094 9 = 145846 10 = 153492 11 = 141826 12 = 168590 13 = 183580 14 = 166252 15 = 125913
16 = 130209 17 = 115013 18 = 109770 19 = 90015 20 = 76895 21 = 49837 22 = 48352 23 = 37576
24 = 30536 25 = 18823 26 = 15698 27 = 9248 28 = 8066 29 = 4995 30 = 3861 31 = 1680
32 = 1368 33 = 719 34 = 486 35 = 254 36 = 153 37 = 38 38 = 30 39 = 23
40 = 6 41 = 1 42 = 3 43 = 1 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2467102
0 = 0.36% 1 = 0.79% 2 = 1.50% 3 = 2.49% 4 = 2.56% 5 = 2.24% 6 = 3.85% 7 = 5.66%
8 = 6.00% 9 = 5.91% 10 = 6.22% 11 = 5.75% 12 = 6.83% 13 = 7.44% 14 = 6.74% 15 = 5.10%
16 = 5.28% 17 = 4.66% 18 = 4.45% 19 = 3.65% 20 = 3.12% 21 = 2.02% 22 = 1.96% 23 = 1.52%
24 = 1.24% 25 = 0.76% 26 = 0.64% 27 = 0.37% 28 = 0.33% 29 = 0.20% 30 = 0.16% 31 = 0.07%
32 = 0.06% 33 = 0.03% 34 = 0.02% 35 = 0.01% 36 = 0.01% 37 = 0.00% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average special point with adjustment is 12.692
total count is 2467102 average is 12.69 variance is 33.39 standard deviation is 5.78

**** special point with adjustment and long suit point
total count is 2467102
0 = 0.15% 1 = 0.45% 2 = 0.95% 3 = 1.64% 4 = 2.25% 5 = 2.38% 6 = 2.90% 7 = 4.01%
8 = 5.22% 9 = 5.75% 10 = 6.03% 11 = 5.95% 12 = 6.19% 13 = 6.68% 14 = 6.97% 15 = 6.35%
16 = 5.70% 17 = 5.11% 18 = 4.73% 19 = 4.24% 20 = 3.71% 21 = 2.98% 22 = 2.34% 23 = 1.88%
24 = 1.55% 25 = 1.16% 26 = 0.87% 27 = 0.60% 28 = 0.42% 29 = 0.30% 30 = 0.21% 31 = 0.14%
32 = 0.08% 33 = 0.05% 34 = 0.03% 35 = 0.02% 36 = 0.01% 37 = 0.00% 38 = 0.00% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average SPL is 13.649
0 = 0.15% 1 = 0.60% 2 = 1.54% 3 = 3.18% 4 = 5.43% 5 = 7.81% 6 = 10.71% 7 = 14.72%
8 = 19.94% 9 = 25.69% 10 = 31.72% 11 = 37.67% 12 = 43.86% 13 = 50.54% 14 = 57.51% 15 = 63.86%
16 = 69.57% 17 = 74.67% 18 = 79.40% 19 = 83.64% 20 = 87.36% 21 = 90.33% 22 = 92.67% 23 = 94.55%
24 = 96.10% 25 = 97.26% 26 = 98.13% 27 = 98.72% 28 = 99.15% 29 = 99.45% 30 = 99.66% 31 = 99.80%
32 = 99.88% 33 = 99.93% 34 = 99.96% 35 = 99.98% 36 = 99.99% 37 = 100.00% 38 = 100.00% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 13.65 variance is 34.19 standard deviation is 5.85

**** Special point with adjustment and long suit and short suit point
total count is 2467102
0 = 0.05% 1 = 0.20% 2 = 0.51% 3 = 1.03% 4 = 1.51% 5 = 1.89% 6 = 2.33% 7 = 3.12%
8 = 3.92% 9 = 4.72% 10 = 5.24% 11 = 5.67% 12 = 5.89% 13 = 6.31% 14 = 6.44% 15 = 6.49%
16 = 6.15% 17 = 5.84% 18 = 5.31% 19 = 4.91% 20 = 4.30% 21 = 3.82% 22 = 3.13% 23 = 2.66%
24 = 2.12% 25 = 1.73% 26 = 1.30% 27 = 1.02% 28 = 0.73% 29 = 0.54% 30 = 0.37% 31 = 0.27%
32 = 0.17% 33 = 0.12% 34 = 0.07% 35 = 0.05% 36 = 0.03% 37 = 0.02% 38 = 0.01% 39 = 0.00%
40 = 0.00% 41 = 0.00% 42 = 0.00% 43 = 0.00% 44 = 0.00% 45 = 0.00% 46 = 0.00% 47 = 0.00%
average SPLS is 14.942
0 = 0.05% 1 = 0.25% 2 = 0.76% 3 = 1.79% 4 = 3.30% 5 = 5.19% 6 = 7.52% 7 = 10.64%
8 = 14.56% 9 = 19.29% 10 = 24.53% 11 = 30.19% 12 = 36.08% 13 = 42.39% 14 = 48.84% 15 = 55.33%
16 = 61.47% 17 = 67.32% 18 = 72.63% 19 = 77.53% 20 = 81.83% 21 = 85.65% 22 = 88.78% 23 = 91.44%
24 = 93.57% 25 = 95.30% 26 = 96.60% 27 = 97.61% 28 = 98.34% 29 = 98.89% 30 = 99.26% 31 = 99.53%
32 = 99.71% 33 = 99.82% 34 = 99.90% 35 = 99.94% 36 = 99.97% 37 = 99.98% 38 = 99.99% 39 = 100.00%
40 = 100.00% 41 = 100.00% 42 = 100.00% 43 = 100.00% 44 = 100.00% 45 = 100.00% 46 = 100.00% 47 = 100.00%
total count is 2467102 average is 14.94 variance is 36.31 standard deviation is 6.03

**** Losing trick count
0 = 0 1 = 0 2 = 222 3 = 5167 4 = 39254 5 = 154956 6 = 371663 7 = 583821
8 = 617821 9 = 438117 10 = 199077 11 = 51345 12 = 5659
losing trick count is 2467102
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.21% 4 = 1.59% 5 = 6.28% 6 = 15.06% 7 = 23.66%
8 = 25.04% 9 = 17.76% 10 = 8.07% 11 = 2.08% 12 = 0.23%
average losing trick count is 7.610
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.22% 4 = 1.81% 5 = 8.09% 6 = 23.16% 7 = 46.82%
8 = 71.86% 9 = 89.62% 10 = 97.69% 11 = 99.77% 12 = 100.00%
total count is 2467102 average is 7.61 variance is 2.29 standard deviation is 1.51

**** Control count (A = 2, K = 1)
0 = 201337 1 = 328064 2 = 505778 3 = 515955 4 = 411815 5 = 276377 6 = 140530 7 = 60569
8 = 20317 9 = 5246 10 = 1018 11 = 90 12 = 6
control count is 2467102
0 = 8.16% 1 = 13.30% 2 = 20.50% 3 = 20.91% 4 = 16.69% 5 = 11.20% 6 = 5.70% 7 = 2.46%
8 = 0.82% 9 = 0.21% 10 = 0.04% 11 = 0.00% 12 = 0.00%
average control count is 3.001
0 = 8.16% 1 = 21.46% 2 = 41.96% 3 = 62.87% 4 = 79.56% 5 = 90.77% 6 = 96.46% 7 = 98.92%
8 = 99.74% 9 = 99.95% 10 = 100.00% 11 = 100.00% 12 = 100.00%

**** total distribution
4432 = 531171 5332 = 383683 5431 = 319370 5422 = 260561 4333 = 260745 6322 = 139007
6421 = 115783 6331 = 85163 5521 = 78363 4441 = 73274 7321 = 46339 6430 = 32728
5440 = 30761 5530 = 22083 6511 = 17332 6520 = 16130 7222 = 12657 7411 = 9403
7420 = 8983 7330 = 6636 8221 = 4681 8311 = 2938 8320 = 2640 7510 = 2609
6610 = 1798 8410 = 1076 9211 = 434 9310 = 252 9220 = 201 7600 = 152
8500 = 90 10210 = 30 9400 = 16 10111 = 8 10300 = 4 11110 = 0
11200 = 1 12100 = 0 13000 = 0
total count is 2467102
4432 = 21.53% 5332 = 15.55% 5431 = 12.95% 5422 = 10.56% 4333 = 10.57% 6322 = 5.63%
6421 = 4.69% 6331 = 3.45% 5521 = 3.18% 4441 = 2.97% 7321 = 1.88% 6430 = 1.33%
5440 = 1.25% 5530 = 0.90% 6511 = 0.70% 6520 = 0.65% 7222 = 0.51% 7411 = 0.38%
7420 = 0.36% 7330 = 0.27% 8221 = 0.19% 8311 = 0.12% 8320 = 0.11% 7510 = 0.11%
6610 = 0.07% 8410 = 0.04% 9211 = 0.02% 9310 = 0.01% 9220 = 0.01% 7600 = 0.01%
8500 = 0.00% 10210 = 0.00% 9400 = 0.00% 10111 = 0.00% 10300 = 0.00% 11110 = 0.00%
11200 = 0.00% 12100 = 0.00% 13000 = 0.00%