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This is the computer output for a general hand frm >2 million double dummy analysis deals.

 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% 0.23% 3 = 0.87% 1.09% 4 = 2.46% 3.55%
5 = 5.38% 8.94% 6 = 9.49% 18.43% 7 = 13.86% 32.29% 8 = 17.20% 49.49% 9 = 17.89% 67.38%
10 = 15.36% 82.74% 11 = 10.50% 93.24% 12 = 5.30% 98.54% 13 = 1.46% 100.00%
total count is 2092102 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 0.8453 SP is 0.8453 SShort is 0.3436 SLong is 0.2525
Correlation coef HCLS is 0.8890 HCL is 0.8505 HCP is 0.8123 LTC is -0.7416 control is 0.7793
** 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 = 2.49% 3.59%
5 = 5.45% 9.04% 6 = 9.57% 18.61% 7 = 13.96% 32.57% 8 = 17.27% 49.84% 9 = 17.87% 67.72%
10 = 15.26% 82.98% 11 = 10.35% 93.33% 12 = 5.22% 98.55% 13 = 1.45% 100.00%
total count is 2092102 average is 8.42 variance is 4.45 standard deviation is 2.11
Correlation coef SPLS is 0.9133 SPL is 0.8748 SPA is 0.8407 SP is 0.8407 SShort is 0.3494 SLong is 0.2572
Correlation coef HCLS is 0.8874 HCL is 0.8466 HCP is 0.8070 LTC is -0.7414 control is 0.7764
** no trump average trick is 6.059
0 = 1.54% 1.54% 1 = 3.58% 5.11% 2 = 5.87% 10.98% 3 = 8.20% 19.18% 4 = 10.49% 29.66%
5 = 12.53% 42.19% 6 = 14.14% 56.33% 7 = 13.20% 69.53% 8 = 11.22% 80.75% 9 = 7.71% 88.46%
10 = 5.34% 93.80% 11 = 3.45% 97.26% 12 = 2.06% 99.32% 13 = 0.68% 100.00%
total count is 2092102 average is 6.06 variance is 7.74 standard deviation is 2.78
Correlation coef SPLS is 0.8265 SPL is 0.8688 SPA is 0.8899 SP is 0.8899 SShort is -0.0276 SLong is -0.0231
Correlation coef HCLS is 0.7595 HCL is 0.8394 HCP is 0.8770 LTC is -0.5692 control is 0.8294
** spade average trick is 6.333
0 = 1.08% 1.08% 1 = 2.73% 3.80% 2 = 5.10% 8.90% 3 = 7.82% 16.72% 4 = 10.33% 27.05%
5 = 12.12% 39.17% 6 = 12.99% 52.16% 7 = 12.74% 64.89% 8 = 11.68% 76.58% 9 = 9.65% 86.22%
10 = 7.00% 93.22% 11 = 4.25% 97.47% 12 = 2.00% 99.47% 13 = 0.53% 100.00%
** heart average trick is 6.335
0 = 1.07% 1.07% 1 = 2.71% 3.78% 2 = 5.10% 8.88% 3 = 7.81% 16.69% 4 = 10.34% 27.03%
5 = 12.15% 39.18% 6 = 12.92% 52.10% 7 = 12.77% 64.87% 8 = 11.69% 76.56% 9 = 9.67% 86.22%
10 = 6.98% 93.20% 11 = 4.26% 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 = 5.10% 8.89% 3 = 7.81% 16.69% 4 = 10.34% 27.04%
5 = 12.14% 39.18% 6 = 13.01% 52.19% 7 = 12.77% 64.96% 8 = 11.67% 76.63% 9 = 9.61% 86.24%
10 = 6.96% 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 = 5.08% 8.88% 3 = 7.85% 16.73% 4 = 10.34% 27.06%
5 = 12.18% 39.24% 6 = 12.95% 52.19% 7 = 12.76% 64.96% 8 = 11.61% 76.57% 9 = 9.64% 86.21%
10 = 6.99% 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 8.440
0 = 0.00% 0.00% 1 = 0.02% 0.02% 2 = 0.21% 0.23% 3 = 0.86% 1.09% 4 = 2.47% 3.56%
5 = 5.40% 8.96% 6 = 9.52% 18.48% 7 = 13.84% 32.32% 8 = 17.13% 49.45% 9 = 17.94% 67.39%
10 = 15.33% 82.72% 11 = 10.49% 93.21% 12 = 5.31% 98.52% 13 = 1.48% 100.00%
total count is 2092102 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% 3.60%
5 = 5.46% 9.06% 6 = 9.61% 18.66% 7 = 13.94% 32.61% 8 = 17.19% 49.80% 9 = 17.93% 67.73%
10 = 15.23% 82.96% 11 = 10.34% 93.30% 12 = 5.23% 98.53% 13 = 1.47% 100.00%
total count is 2092102 average is 8.42 variance is 4.46 standard deviation is 2.11
** no trump average trick is 6.059
0 = 1.52% 1.52% 1 = 3.59% 5.10% 2 = 5.86% 10.97% 3 = 8.22% 19.19% 4 = 10.50% 29.69%
5 = 12.45% 42.14% 6 = 14.19% 56.33% 7 = 13.22% 69.55% 8 = 11.24% 80.79% 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 2092102 average is 6.06 variance is 7.73 standard deviation is 2.78
** spade average trick is 6.332
0 = 1.06% 1.06% 1 = 2.71% 3.78% 2 = 5.09% 8.86% 3 = 7.87% 16.73% 4 = 10.35% 27.07%
5 = 12.18% 39.26% 6 = 12.94% 52.19% 7 = 12.76% 64.95% 8 = 11.61% 76.56% 9 = 9.65% 86.21%
10 = 6.98% 93.19% 11 = 4.25% 97.44% 12 = 2.02% 99.46% 13 = 0.54% 100.00%
** heart average trick is 6.330
0 = 1.06% 1.06% 1 = 2.73% 3.80% 2 = 5.10% 8.89% 3 = 7.83% 16.72% 4 = 10.37% 27.09%
5 = 12.19% 39.27% 6 = 12.96% 52.23% 7 = 12.73% 64.96% 8 = 11.63% 76.59% 9 = 9.64% 86.23%
10 = 6.97% 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 = 5.13% 8.90% 3 = 7.79% 16.69% 4 = 10.32% 27.00%
5 = 12.16% 39.16% 6 = 13.03% 52.20% 7 = 12.75% 64.95% 8 = 11.63% 76.58% 9 = 9.65% 86.23%
10 = 6.94% 93.18% 11 = 4.28% 97.45% 12 = 2.01% 99.47% 13 = 0.53% 100.00%
** club average trick is 6.334
0 = 1.05% 1.05% 1 = 2.73% 3.78% 2 = 5.10% 8.88% 3 = 7.83% 16.71% 4 = 10.35% 27.06%
5 = 12.13% 39.19% 6 = 12.95% 52.15% 7 = 12.74% 64.89% 8 = 11.68% 76.56% 9 = 9.64% 86.20%
10 = 6.99% 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 801374 38.31% 424.03 East west make 801377 38.31% -423.79
North south sac 245128 11.72% -200.37 East west sac 244182 11.67% 199.15
This is for NS vul
North south make 676938 32.36% 543.55 East west make 1011168 48.33% -388.36
North south sac 35337 1.69% -350.26 East west sac 368618 17.62% 391.98
This is for EW vul
North south make 1009896 48.27% 388.63 East west make 677226 32.37% -543.14
North south sac 369279 17.65% -391.93 East west sac 35660 1.70% 343.77
This is for both vul
North south make 930449 44.48% 513.92 East west make 931405 44.52% -513.07
North south sac 115100 5.50% -649.75 East west sac 115107 5.50% 645.08
North south cannot make any contract = 18.43% East West cannot make any contract = 18.48%
North south make partial contract = 50.84% East West make partial contract = 50.84%
North south make any game = 23.96% East West make any game = 23.89%
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 = 56.33% East West cannot make any NT contract = 56.33%
North south make partial NT contract = 24.42% East West make partial NT contract = 24.46%
North south make NT game = 16.51% East West make NT game = 16.45%
North south make NT small slam = 2.06% East West make NT small slam = 2.06%
North south make NT grand slam = 0.68% East West make NT grand slam = 0.70%
North south NT makes more then suit = 16.23% East West NT makes more then suit = 16.14%
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 = 80.19%

**************** Combine North and South hand statistic ****************
** spade high card point average HCP is 5.000
0 = 5.53% 5.53% 1 = 6.25% 11.78% 2 = 6.24% 18.03% 3 = 12.74% 30.77% 4 = 12.72% 43.48%
5 = 13.01% 56.49% 6 = 12.74% 69.23% 7 = 12.76% 81.98% 8 = 6.23% 88.21% 9 = 6.26% 94.47%
10 = 5.53% 100.00%
** heart high card point average HCP is 5.002
0 = 5.52% 5.52% 1 = 6.25% 11.77% 2 = 6.22% 17.99% 3 = 12.72% 30.71% 4 = 12.75% 43.47%
5 = 12.98% 56.45% 6 = 12.79% 69.24% 7 = 12.72% 81.96% 8 = 6.26% 88.22% 9 = 6.25% 94.46%
10 = 5.54% 100.00%
** diamond high card point average HCP is 4.999
0 = 5.53% 5.53% 1 = 6.22% 11.74% 2 = 6.23% 17.97% 3 = 12.79% 30.76% 4 = 12.76% 43.51%
5 = 12.99% 56.51% 6 = 12.77% 69.28% 7 = 12.74% 82.02% 8 = 6.26% 88.28% 9 = 6.20% 94.48%
10 = 5.52% 100.00%
** club high card point average HCP is 4.999
0 = 5.54% 5.54% 1 = 6.23% 11.77% 2 = 6.23% 18.00% 3 = 12.78% 30.78% 4 = 12.79% 43.57%
5 = 12.98% 56.54% 6 = 12.72% 69.27% 7 = 12.70% 81.96% 8 = 6.26% 88.23% 9 = 6.25% 94.48%
10 = 5.52% 100.00%
** space suit length average length is 6.500
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.40% 0.44% 3 = 2.17% 2.61% 4 = 7.34% 9.95%
5 = 16.20% 26.15% 6 = 23.80% 49.95% 7 = 23.91% 73.86% 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 6.502
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.43% 3 = 2.17% 2.60% 4 = 7.31% 9.91%
5 = 16.20% 26.11% 6 = 23.84% 49.95% 7 = 23.90% 73.85% 8 = 16.15% 90.00% 9 = 7.37% 97.37%
10 = 2.20% 99.57% 11 = 0.39% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** diamond 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 = 7.36% 9.96%
5 = 16.20% 26.15% 6 = 23.86% 50.01% 7 = 23.90% 73.91% 8 = 16.15% 90.06% 9 = 7.34% 97.40%
10 = 2.17% 99.57% 11 = 0.39% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** club suit length average length is 6.499
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 = 16.20% 26.18% 6 = 23.84% 50.02% 7 = 23.88% 73.90% 8 = 16.15% 90.05% 9 = 7.34% 97.39%
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 = 500154 23.91% 1 = 460501 22.01% 2 = 419727 20.06% 3 = 381073 18.21% 4 = 330647 15.80%
total count is 2092102

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

0 = 572701 27.37% 1 = 482005 23.04% 2 = 401411 19.19% 3 = 333093 15.92% 4 = 302892 14.48%
total count is 2092102

**** total HCP
0 = 0 1 = 10 2 = 54 3 = 131 4 = 390 5 = 943 6 = 1926 7 = 3909
8 = 7097 9 = 12293 10 = 20001 11 = 31078 12 = 44034 13 = 61411 14 = 81247 15 = 102207
16 = 123106 17 = 143251 18 = 158527 19 = 168060 20 = 172398 21 = 169006 22 = 157929 23 = 142662
24 = 123208 25 = 102761 26 = 81095 27 = 61423 28 = 44038 29 = 30974 30 = 20223 31 = 12263
32 = 7213 33 = 3882 34 = 1915 35 = 882 36 = 368 37 = 133 38 = 45 39 = 8
40 = 1
total count is 2092102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.01% 4 = 0.02% 5 = 0.05% 6 = 0.09% 7 = 0.19%
8 = 0.34% 9 = 0.59% 10 = 0.96% 11 = 1.49% 12 = 2.10% 13 = 2.94% 14 = 3.88% 15 = 4.89%
16 = 5.88% 17 = 6.85% 18 = 7.58% 19 = 8.03% 20 = 8.24% 21 = 8.08% 22 = 7.55% 23 = 6.82%
24 = 5.89% 25 = 4.91% 26 = 3.88% 27 = 2.94% 28 = 2.10% 29 = 1.48% 30 = 0.97% 31 = 0.59%
32 = 0.34% 33 = 0.19% 34 = 0.09% 35 = 0.04% 36 = 0.02% 37 = 0.01% 38 = 0.00% 39 = 0.00%
40 = 0.00%
average HCP is 20.000
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.01% 4 = 0.03% 5 = 0.07% 6 = 0.17% 7 = 0.35%
8 = 0.69% 9 = 1.28% 10 = 2.23% 11 = 3.72% 12 = 5.83% 13 = 8.76% 14 = 12.64% 15 = 17.53%
16 = 23.41% 17 = 30.26% 18 = 37.84% 19 = 45.87% 20 = 54.11% 21 = 62.19% 22 = 69.74% 23 = 76.56%
24 = 82.45% 25 = 87.36% 26 = 91.24% 27 = 94.17% 28 = 96.28% 29 = 97.76% 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 2092102 average is 20.00 variance is 22.76 standard deviation is 4.77

**** Long suit point
0 = 279373 1 = 596193 2 = 594048 3 = 374475 4 = 169604 5 = 58845 6 = 15860 7 = 3159
8 = 479 9 = 62 10 = 3 11 = 1 12 = 0 13 = 0 14 = 0 15 = 0
16 = 0 17 = 0 18 = 0 19 = 0
total count is 2092102
0 = 13.35% 1 = 28.50% 2 = 28.39% 3 = 17.90% 4 = 8.11% 5 = 2.81% 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 1.913
**** total short suit point
0 = 439708 1 = 337230 2 = 497934 3 = 409919 4 = 223262 5 = 103635 6 = 47062 7 = 19269
8 = 8859 9 = 3405 10 = 1127 11 = 500 12 = 113 13 = 58 14 = 13 15 = 5
16 = 2 17 = 0 18 = 1 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2092102
0 = 21.02% 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 = 0.16% 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 = 2 2 = 10 3 = 51 4 = 120 5 = 328 6 = 707 7 = 1504
8 = 2997 9 = 5292 10 = 9164 11 = 15278 12 = 23508 13 = 34469 14 = 48246 15 = 64919
16 = 84060 17 = 103549 18 = 123283 19 = 140976 20 = 154430 21 = 163046 22 = 166573 23 = 163045
24 = 153053 25 = 138454 26 = 120042 27 = 100534 28 = 80836 29 = 62174 30 = 45650 31 = 32646
32 = 21535 33 = 13678 34 = 8363 35 = 4808 36 = 2467 37 = 1300 38 = 593 39 = 260
40 = 99 41 = 37 42 = 15 43 = 0 44 = 1 45 = 0 46 = 0 47 = 0
total count is 2092102
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 = 6.74% 20 = 7.38% 21 = 7.79% 22 = 7.96% 23 = 7.79%
24 = 7.32% 25 = 6.62% 26 = 5.74% 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 = 2.82% 13 = 4.47% 14 = 6.77% 15 = 9.87%
16 = 13.89% 17 = 18.84% 18 = 24.74% 19 = 31.47% 20 = 38.86% 21 = 46.65% 22 = 54.61% 23 = 62.40%
24 = 69.72% 25 = 76.34% 26 = 82.08% 27 = 86.88% 28 = 90.74% 29 = 93.72% 30 = 95.90% 31 = 97.46%
32 = 98.49% 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 2092102 average is 21.91 variance is 24.48 standard deviation is 4.95

**** total point include HCP long suit and short suit point
0 = 0 1 = 1 2 = 6 3 = 24 4 = 54 5 = 155 6 = 299 7 = 699
8 = 1440 9 = 2530 10 = 4615 11 = 7650 12 = 12158 13 = 18848 14 = 27327 15 = 38198
16 = 51435 17 = 66507 18 = 83588 19 = 100969 20 = 117535 21 = 131765 22 = 144257 23 = 151331
24 = 153863 25 = 152062 26 = 144716 27 = 132619 28 = 117358 29 = 101364 30 = 84643 31 = 68637
32 = 52715 33 = 39324 34 = 28677 35 = 20058 36 = 13490 37 = 8657 38 = 5353 39 = 3155
40 = 1863 41 = 996 42 = 555 43 = 307 44 = 156 45 = 74 46 = 48 47 = 15
48 = 2 49 = 4 50 = 0 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2092102
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 = 0.37% 12 = 0.58% 13 = 0.90% 14 = 1.31% 15 = 1.83%
16 = 2.46% 17 = 3.18% 18 = 4.00% 19 = 4.83% 20 = 5.62% 21 = 6.30% 22 = 6.90% 23 = 7.23%
24 = 7.35% 25 = 7.27% 26 = 6.92% 27 = 6.34% 28 = 5.61% 29 = 4.85% 30 = 4.05% 31 = 3.28%
32 = 2.52% 33 = 1.88% 34 = 1.37% 35 = 0.96% 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 = 0.84% 12 = 1.42% 13 = 2.32% 14 = 3.62% 15 = 5.45%
16 = 7.91% 17 = 11.09% 18 = 15.08% 19 = 19.91% 20 = 25.53% 21 = 31.82% 22 = 38.72% 23 = 45.95%
24 = 53.31% 25 = 60.58% 26 = 67.49% 27 = 73.83% 28 = 79.44% 29 = 84.29% 30 = 88.33% 31 = 91.61%
32 = 94.13% 33 = 96.01% 34 = 97.38% 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 2092102 average is 24.07 variance is 28.78 standard deviation is 5.36

**** special point count
0 = 0 1 = 10 2 = 93 3 = 337 4 = 567 5 = 788 6 = 1429 7 = 3058
8 = 4413 9 = 6959 10 = 9217 11 = 13946 12 = 18111 13 = 27592 14 = 32972 15 = 41147
16 = 47489 17 = 64633 18 = 70851 19 = 85989 20 = 91606 21 = 102080 22 = 104361 23 = 123192
24 = 120870 25 = 122782 26 = 116898 27 = 119629 28 = 109050 29 = 108434 30 = 96469 31 = 83645
32 = 71401 33 = 66633 34 = 54403 35 = 44129 36 = 34223 37 = 26673 38 = 20063 39 = 15760
40 = 11339 41 = 7009 42 = 4607 43 = 3218 44 = 1966 45 = 1039 46 = 561 47 = 282
48 = 125 49 = 45 50 = 9 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2092102
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 = 5.21% 29 = 5.18% 30 = 4.61% 31 = 4.00%
32 = 3.41% 33 = 3.18% 34 = 2.60% 35 = 2.11% 36 = 1.64% 37 = 1.27% 38 = 0.96% 39 = 0.75%
40 = 0.54% 41 = 0.34% 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 25.124
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 = 16.42% 19 = 20.53% 20 = 24.91% 21 = 29.79% 22 = 34.78% 23 = 40.67%
24 = 46.45% 25 = 52.32% 26 = 57.90% 27 = 63.62% 28 = 68.83% 29 = 74.02% 30 = 78.63% 31 = 82.63%
32 = 86.04% 33 = 89.22% 34 = 91.82% 35 = 93.93% 36 = 95.57% 37 = 96.84% 38 = 97.80% 39 = 98.56%
40 = 99.10% 41 = 99.43% 42 = 99.65% 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 2092102 average is 25.12 variance is 44.64 standard deviation is 6.68

**** special point with adjustment
0 = 0 1 = 10 2 = 93 3 = 337 4 = 567 5 = 788 6 = 1429 7 = 3058
8 = 4413 9 = 6959 10 = 9217 11 = 13946 12 = 18111 13 = 27592 14 = 32972 15 = 41147
16 = 47489 17 = 64633 18 = 70851 19 = 85989 20 = 91606 21 = 102080 22 = 104361 23 = 123192
24 = 120870 25 = 122782 26 = 116898 27 = 119629 28 = 109050 29 = 108434 30 = 96469 31 = 83645
32 = 71401 33 = 66633 34 = 54403 35 = 44129 36 = 34223 37 = 26673 38 = 20063 39 = 15760
40 = 11339 41 = 7009 42 = 4607 43 = 3218 44 = 1966 45 = 1039 46 = 561 47 = 282
48 = 125 49 = 45 50 = 9 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2092102
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 = 5.21% 29 = 5.18% 30 = 4.61% 31 = 4.00%
32 = 3.41% 33 = 3.18% 34 = 2.60% 35 = 2.11% 36 = 1.64% 37 = 1.27% 38 = 0.96% 39 = 0.75%
40 = 0.54% 41 = 0.34% 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 25.124
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 = 16.42% 19 = 20.53% 20 = 24.91% 21 = 29.79% 22 = 34.78% 23 = 40.67%
24 = 46.45% 25 = 52.32% 26 = 57.90% 27 = 63.62% 28 = 68.83% 29 = 74.02% 30 = 78.63% 31 = 82.63%
32 = 86.04% 33 = 89.22% 34 = 91.82% 35 = 93.93% 36 = 95.57% 37 = 96.84% 38 = 97.80% 39 = 98.56%
40 = 99.10% 41 = 99.43% 42 = 99.65% 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 2092102 average is 25.12 variance is 44.64 standard deviation is 6.68

**** Special Long suit point
0 = 279373 1 = 596193 2 = 594048 3 = 374475 4 = 169604 5 = 58845 6 = 15860 7 = 3159
8 = 479 9 = 62 10 = 3 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 2092102
0 = 13.35% 1 = 28.50% 2 = 28.39% 3 = 17.90% 4 = 8.11% 5 = 2.81% 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 2092102 average is 1.91 variance is 1.74 standard deviation is 1.32

**** total special short suit point
0 = 439708 1 = 504894 2 = 587666 3 = 283304 4 = 155235 5 = 62658 6 = 32936 7 = 14764
8 = 6354 9 = 2932 10 = 980 11 = 480 12 = 115 13 = 55 14 = 13 15 = 5
16 = 2 17 = 0 18 = 1 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2092102
0 = 21.02% 1 = 24.13% 2 = 28.09% 3 = 13.54% 4 = 7.42% 5 = 2.99% 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 2092102 average is 1.85 variance is 2.42 standard deviation is 1.56

**** special point with adjustment and long suit point
0 = 0 1 = 2 2 = 21 3 = 84 4 = 240 5 = 402 6 = 680 7 = 1204
8 = 2183 9 = 3477 10 = 5237 11 = 7581 12 = 10848 13 = 15361 14 = 20864 15 = 27416
16 = 34267 17 = 42703 18 = 52102 19 = 62854 20 = 73224 21 = 83107 22 = 92635 23 = 100338
24 = 109209 25 = 115697 26 = 119081 27 = 120014 28 = 118427 29 = 114922 30 = 110902 31 = 103527
32 = 93470 33 = 83565 34 = 73740 35 = 63902 36 = 53740 37 = 43924 38 = 34916 39 = 27533
40 = 21007 41 = 15555 42 = 11267 43 = 7621 44 = 5159 45 = 3361 46 = 2115 47 = 1239
48 = 719 49 = 373 50 = 171 51 = 68 52 = 34 53 = 13 54 = 0 55 = 1
total count is 2092102
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 = 2.49% 19 = 3.00% 20 = 3.50% 21 = 3.97% 22 = 4.43% 23 = 4.80%
24 = 5.22% 25 = 5.53% 26 = 5.69% 27 = 5.74% 28 = 5.66% 29 = 5.49% 30 = 5.30% 31 = 4.95%
32 = 4.47% 33 = 3.99% 34 = 3.52% 35 = 3.05% 36 = 2.57% 37 = 2.10% 38 = 1.67% 39 = 1.32%
40 = 1.00% 41 = 0.74% 42 = 0.54% 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 27.037
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.01% 4 = 0.02% 5 = 0.04% 6 = 0.07% 7 = 0.13%
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 = 10.74% 19 = 13.74% 20 = 17.24% 21 = 21.22% 22 = 25.64% 23 = 30.44%
24 = 35.66% 25 = 41.19% 26 = 46.88% 27 = 52.62% 28 = 58.28% 29 = 63.77% 30 = 69.07% 31 = 74.02%
32 = 78.49% 33 = 82.48% 34 = 86.01% 35 = 89.06% 36 = 91.63% 37 = 93.73% 38 = 95.40% 39 = 96.72%
40 = 97.72% 41 = 98.46% 42 = 99.00% 43 = 99.37% 44 = 99.61% 45 = 99.77% 46 = 99.87% 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 2092102 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 = 1 2 = 12 3 = 40 4 = 117 5 = 180 6 = 395 7 = 703
8 = 1182 9 = 1983 10 = 3106 11 = 4706 12 = 6758 13 = 9717 14 = 13283 15 = 18382
16 = 23712 17 = 29987 18 = 37377 19 = 46187 20 = 55338 21 = 64639 22 = 73873 23 = 83677
24 = 92650 25 = 100267 26 = 106590 27 = 111984 28 = 113720 29 = 115933 30 = 114266 31 = 111001
32 = 105579 33 = 98593 34 = 90679 35 = 81545 36 = 71763 37 = 62195 38 = 53365 39 = 43844
40 = 35778 41 = 28678 42 = 22090 43 = 17105 44 = 12412 45 = 8945 46 = 6283 47 = 4256
48 = 2829 49 = 1782 50 = 1127 51 = 643 52 = 391 53 = 219 54 = 105 55 = 73
56 = 30 57 = 19 58 = 5 59 = 0 60 = 3 61 = 0 62 = 0 63 = 0
total count is 2092102
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 = 0.22% 12 = 0.32% 13 = 0.46% 14 = 0.63% 15 = 0.88%
16 = 1.13% 17 = 1.43% 18 = 1.79% 19 = 2.21% 20 = 2.65% 21 = 3.09% 22 = 3.53% 23 = 4.00%
24 = 4.43% 25 = 4.79% 26 = 5.09% 27 = 5.35% 28 = 5.44% 29 = 5.54% 30 = 5.46% 31 = 5.31%
32 = 5.05% 33 = 4.71% 34 = 4.33% 35 = 3.90% 36 = 3.43% 37 = 2.97% 38 = 2.55% 39 = 2.10%
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 = 0.01% 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 28.889
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 = 0.13% 9 = 0.22% 10 = 0.37% 11 = 0.59% 12 = 0.92% 13 = 1.38% 14 = 2.02% 15 = 2.89%
16 = 4.03% 17 = 5.46% 18 = 7.25% 19 = 9.46% 20 = 12.10% 21 = 15.19% 22 = 18.72% 23 = 22.72%
24 = 27.15% 25 = 31.94% 26 = 37.04% 27 = 42.39% 28 = 47.83% 29 = 53.37% 30 = 58.83% 31 = 64.13%
32 = 69.18% 33 = 73.89% 34 = 78.23% 35 = 82.13% 36 = 85.56% 37 = 88.53% 38 = 91.08% 39 = 93.18%
40 = 94.89% 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 2092102 average is 28.89 variance is 50.30 standard deviation is 7.09

**** Losing trick count
0 = 0 1 = 0 2 = 0 3 = 0 4 = 0 5 = 1 6 = 12 7 = 94
8 = 581 9 = 3197 10 = 13186 11 = 42521 12 = 109779 13 = 219467 14 = 344562 15 = 422620
16 = 399453 17 = 288833 18 = 158576 19 = 64860 20 = 19502 21 = 4154 22 = 652 23 = 47
24 = 5
losing trick count is 2092102
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 = 5.25% 13 = 10.49% 14 = 16.47% 15 = 20.20%
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 = 8.10% 13 = 18.59% 14 = 35.06% 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 2092102 average is 15.22 variance is 3.80 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 = 11 7 = 84
8 = 496 9 = 2825 10 = 11791 11 = 37975 12 = 97944 13 = 194850 14 = 302285 15 = 364127
16 = 334858 17 = 232652 18 = 120665 19 = 45774 20 = 12472 21 = 2344 22 = 289 23 = 12
24 = 1
losing trick count for suit fit only is 1761455
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 = 5.56% 13 = 11.06% 14 = 17.16% 15 = 20.67%
16 = 19.01% 17 = 13.21% 18 = 6.85% 19 = 2.60% 20 = 0.71% 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 = 0.86% 11 = 3.02% 12 = 8.58% 13 = 19.64% 14 = 36.80% 15 = 57.47%
16 = 76.48% 17 = 89.69% 18 = 96.54% 19 = 99.14% 20 = 99.85% 21 = 99.98% 22 = 100.00% 23 = 100.00%
24 = 100.00%

**** control count (A = 2, K = 1)
0 = 4331 1 = 23614 2 = 68351 3 = 152594 4 = 257529 5 = 345332 6 = 388118 7 = 345204
8 = 257675 9 = 152964 10 = 68361 11 = 23709 12 = 4320
control count is 2092102
0 = 0.21% 1 = 1.13% 2 = 3.27% 3 = 7.29% 4 = 12.31% 5 = 16.51% 6 = 18.55% 7 = 16.50%
8 = 12.32% 9 = 7.31% 10 = 3.27% 11 = 1.13% 12 = 0.21%
average control count is 6.001
0 = 0.21% 1 = 1.34% 2 = 4.60% 3 = 11.90% 4 = 24.21% 5 = 40.71% 6 = 59.26% 7 = 75.76%
8 = 88.08% 9 = 95.39% 10 = 98.66% 11 = 99.79% 12 = 100.00%
total count is 2092102 average is 6.00 variance is 4.39 standard deviation is 2.10

**** total trick distribution
77 = 219939 78 = 110708 79 = 0 710 = 0 711 = 0 712 = 0 713 = 0
87 = 109492 88 = 564194 89 = 239278 810 = 40752 811 = 2859 812 = 0 813 = 0
97 = 0 98 = 239711 99 = 244608 910 = 85598 911 = 15806 912 = 1319 913 = 34
107 = 0 108 = 41113 109 = 85869 1010 = 42448 1011 = 10665 1012 = 1374 1013 = 69
117 = 0 118 = 2806 119 = 15668 1110 = 10566 1111 = 3260 1112 = 478 1113 = 34
127 = 0 128 = 0 129 = 1337 1210 = 1339 1211 = 521 1212 = 104 1213 = 10
137 = 0 138 = 0 139 = 45 1310 = 59 1311 = 32 1312 = 7 1313 = 0
total count is 2092102
77 = 10.51% 78 = 5.29% 79 = 0.00% 710 = 0.00% 711 = 0.00% 712 = 0.00% 713 = 0.00%
87 = 5.23% 88 = 26.97% 89 = 11.44% 810 = 1.95% 811 = 0.14% 812 = 0.00% 813 = 0.00%
97 = 0.00% 98 = 11.46% 99 = 11.69% 910 = 4.09% 911 = 0.76% 912 = 0.06% 913 = 0.00%
107 = 0.00% 108 = 1.97% 109 = 4.10%1010 = 2.03%1011 = 0.51%1012 = 0.07%1013 = 0.00%
117 = 0.00% 118 = 0.13% 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 = 0.06%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 = 5.53% 5.53% 1 = 6.26% 11.79% 2 = 6.23% 18.02% 3 = 12.76% 30.77% 4 = 12.74% 43.51%
5 = 13.01% 56.52% 6 = 12.72% 69.23% 7 = 12.74% 81.97% 8 = 6.24% 88.22% 9 = 6.25% 94.47%
10 = 5.53% 100.00%
** heart high card point average HCP is 4.998
0 = 5.54% 5.54% 1 = 6.25% 11.78% 2 = 6.26% 18.04% 3 = 12.72% 30.76% 4 = 12.79% 43.55%
5 = 12.98% 56.53% 6 = 12.75% 69.29% 7 = 12.72% 82.01% 8 = 6.22% 88.23% 9 = 6.25% 94.48%
10 = 5.52% 100.00%
** diamond high card point average HCP is 5.001
0 = 5.52% 5.52% 1 = 6.20% 11.72% 2 = 6.26% 17.98% 3 = 12.74% 30.72% 4 = 12.77% 43.49%
5 = 12.99% 56.49% 6 = 12.76% 69.24% 7 = 12.79% 82.03% 8 = 6.23% 88.26% 9 = 6.22% 94.47%
10 = 5.53% 100.00%
** club high card point average HCP is 5.001
0 = 5.52% 5.52% 1 = 6.25% 11.77% 2 = 6.26% 18.04% 3 = 12.70% 30.73% 4 = 12.72% 43.46%
5 = 12.98% 56.43% 6 = 12.79% 69.22% 7 = 12.78% 82.00% 8 = 6.23% 88.23% 9 = 6.23% 94.46%
10 = 5.54% 100.00%
** space suit length average length is 6.500
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% 26.14% 6 = 23.91% 50.05% 7 = 23.80% 73.85% 8 = 16.20% 90.05% 9 = 7.34% 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 6.498
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.43% 3 = 2.20% 2.63% 4 = 7.37% 10.00%
5 = 16.15% 26.15% 6 = 23.90% 50.05% 7 = 23.84% 73.89% 8 = 16.20% 90.09% 9 = 7.31% 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 6.501
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.43% 3 = 2.17% 2.60% 4 = 7.34% 9.94%
5 = 16.15% 26.09% 6 = 23.90% 49.99% 7 = 23.86% 73.85% 8 = 16.20% 90.04% 9 = 7.36% 97.40%
10 = 2.16% 99.56% 11 = 0.40% 99.96% 12 = 0.04% 100.00% 13 = 0.00% 100.00%
** club suit length average length is 6.501
0 = 0.00% 0.00% 1 = 0.04% 0.04% 2 = 0.39% 0.44% 3 = 2.17% 2.61% 4 = 7.34% 9.95%
5 = 16.15% 26.10% 6 = 23.88% 49.98% 7 = 23.84% 73.82% 8 = 16.20% 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 = 500731 23.93% 1 = 459396 21.96% 2 = 420538 20.10% 3 = 382006 18.26% 4 = 329431 15.75%
total count is 2092102

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

0 = 574002 27.44% 1 = 481200 23.00% 2 = 402513 19.24% 3 = 333452 15.94% 4 = 300935 14.38%
total count is 2092102

**** total HCP
0 = 1 1 = 8 2 = 45 3 = 133 4 = 368 5 = 882 6 = 1915 7 = 3882
8 = 7213 9 = 12263 10 = 20223 11 = 30974 12 = 44038 13 = 61423 14 = 81095 15 = 102761
16 = 123208 17 = 142662 18 = 157929 19 = 169006 20 = 172398 21 = 168060 22 = 158527 23 = 143251
24 = 123106 25 = 102207 26 = 81247 27 = 61411 28 = 44034 29 = 31078 30 = 20001 31 = 12293
32 = 7097 33 = 3909 34 = 1926 35 = 943 36 = 390 37 = 131 38 = 54 39 = 10
40 = 0
total count is 2092102
0 = 0.00% 1 = 0.00% 2 = 0.00% 3 = 0.01% 4 = 0.02% 5 = 0.04% 6 = 0.09% 7 = 0.19%
8 = 0.34% 9 = 0.59% 10 = 0.97% 11 = 1.48% 12 = 2.10% 13 = 2.94% 14 = 3.88% 15 = 4.91%
16 = 5.89% 17 = 6.82% 18 = 7.55% 19 = 8.08% 20 = 8.24% 21 = 8.03% 22 = 7.58% 23 = 6.85%
24 = 5.88% 25 = 4.89% 26 = 3.88% 27 = 2.94% 28 = 2.10% 29 = 1.49% 30 = 0.96% 31 = 0.59%
32 = 0.34% 33 = 0.19% 34 = 0.09% 35 = 0.05% 36 = 0.02% 37 = 0.01% 38 = 0.00% 39 = 0.00%
40 = 0.00%
average HCP is 20.000
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 = 2.24% 11 = 3.72% 12 = 5.83% 13 = 8.76% 14 = 12.64% 15 = 17.55%
16 = 23.44% 17 = 30.26% 18 = 37.81% 19 = 45.89% 20 = 54.13% 21 = 62.16% 22 = 69.74% 23 = 76.59%
24 = 82.47% 25 = 87.36% 26 = 91.24% 27 = 94.17% 28 = 96.28% 29 = 97.77% 30 = 98.72% 31 = 99.31%
32 = 99.65% 33 = 99.83% 34 = 99.93% 35 = 99.97% 36 = 99.99% 37 = 100.00% 38 = 100.00% 39 = 100.00%
40 = 100.00%
total count is 2092102 average is 20.00 variance is 22.76 standard deviation is 4.77

**** Long suit point
0 = 278506 1 = 595797 2 = 594329 3 = 375632 4 = 169628 5 = 58676 6 = 15770 7 = 3226
8 = 496 9 = 40 10 = 2 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
16 = 0 17 = 0 18 = 0 19 = 0
total count is 2092102
0 = 13.31% 1 = 28.48% 2 = 28.41% 3 = 17.95% 4 = 8.11% 5 = 2.80% 6 = 0.75% 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 = 438372 1 = 336916 2 = 499860 3 = 409878 4 = 222589 5 = 103735 6 = 47329 7 = 19442
8 = 8884 9 = 3329 10 = 1064 11 = 522 12 = 104 13 = 45 14 = 21 15 = 10
16 = 2 17 = 0 18 = 0 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2092102
0 = 20.95% 1 = 16.10% 2 = 23.89% 3 = 19.59% 4 = 10.64% 5 = 4.96% 6 = 2.26% 7 = 0.93%
8 = 0.42% 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 = 19 3 = 33 4 = 98 5 = 299 6 = 720 7 = 1400
8 = 2925 9 = 5247 10 = 9489 11 = 15166 12 = 23547 13 = 34518 14 = 48477 15 = 64590
16 = 84258 17 = 104015 18 = 122679 19 = 140964 20 = 154746 21 = 163480 22 = 166041 23 = 162330
24 = 153349 25 = 138344 26 = 120197 27 = 100541 28 = 80650 29 = 62408 30 = 45856 31 = 32266
32 = 21506 33 = 13953 34 = 8395 35 = 4756 36 = 2530 37 = 1304 38 = 595 39 = 249
40 = 113 41 = 29 42 = 10 43 = 7 44 = 1 45 = 0 46 = 0 47 = 0
total count is 2092102
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 = 0.72% 12 = 1.13% 13 = 1.65% 14 = 2.32% 15 = 3.09%
16 = 4.03% 17 = 4.97% 18 = 5.86% 19 = 6.74% 20 = 7.40% 21 = 7.81% 22 = 7.94% 23 = 7.76%
24 = 7.33% 25 = 6.61% 26 = 5.75% 27 = 4.81% 28 = 3.85% 29 = 2.98% 30 = 2.19% 31 = 1.54%
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 21.914
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 = 0.97% 11 = 1.69% 12 = 2.82% 13 = 4.47% 14 = 6.78% 15 = 9.87%
16 = 13.90% 17 = 18.87% 18 = 24.74% 19 = 31.47% 20 = 38.87% 21 = 46.68% 22 = 54.62% 23 = 62.38%
24 = 69.71% 25 = 76.32% 26 = 82.07% 27 = 86.87% 28 = 90.73% 29 = 93.71% 30 = 95.90% 31 = 97.45%
32 = 98.47% 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 2092102 average is 21.91 variance is 24.49 standard deviation is 4.95

**** total point include HCP long suit and short suit point
0 = 0 1 = 0 2 = 7 3 = 22 4 = 32 5 = 131 6 = 321 7 = 668
8 = 1363 9 = 2481 10 = 4529 11 = 7568 12 = 12638 13 = 18748 14 = 27432 15 = 38167
16 = 51357 17 = 67213 18 = 83741 19 = 101061 20 = 117065 21 = 132122 22 = 143694 23 = 151149
24 = 153864 25 = 151184 26 = 144420 27 = 132572 28 = 117720 29 = 101700 30 = 84643 31 = 68271
32 = 52625 33 = 39729 34 = 28628 35 = 20237 36 = 13513 37 = 8804 38 = 5372 39 = 3258
40 = 1842 41 = 1068 42 = 551 43 = 297 44 = 161 45 = 77 46 = 27 47 = 16
48 = 8 49 = 3 50 = 2 51 = 0 52 = 0 53 = 1 54 = 0 55 = 0
total count is 2092102
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 = 0.07% 9 = 0.12% 10 = 0.22% 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 = 6.87% 23 = 7.22%
24 = 7.35% 25 = 7.23% 26 = 6.90% 27 = 6.34% 28 = 5.63% 29 = 4.86% 30 = 4.05% 31 = 3.26%
32 = 2.52% 33 = 1.90% 34 = 1.37% 35 = 0.97% 36 = 0.65% 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 24.072
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 = 0.46% 11 = 0.82% 12 = 1.42% 13 = 2.32% 14 = 3.63% 15 = 5.45%
16 = 7.91% 17 = 11.12% 18 = 15.12% 19 = 19.96% 20 = 25.55% 21 = 31.87% 22 = 38.73% 23 = 45.96%
24 = 53.31% 25 = 60.54% 26 = 67.44% 27 = 73.78% 28 = 79.41% 29 = 84.27% 30 = 88.31% 31 = 91.58%
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 = 99.95% 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 2092102 average is 24.07 variance is 28.83 standard deviation is 5.37

**** special point count
0 = 1 1 = 8 2 = 77 3 = 332 4 = 527 5 = 794 6 = 1428 7 = 3039
8 = 4437 9 = 7002 10 = 9550 11 = 13816 12 = 17949 13 = 27663 14 = 32795 15 = 41157
16 = 48294 17 = 64066 18 = 71283 19 = 85745 20 = 91857 21 = 101361 22 = 104561 23 = 123266
24 = 120846 25 = 122917 26 = 116583 27 = 119814 28 = 109071 29 = 108954 30 = 96063 31 = 83690
32 = 71237 33 = 66978 34 = 54022 35 = 43882 36 = 34348 37 = 26792 38 = 20047 39 = 15914
40 = 11024 41 = 7009 42 = 4616 43 = 3150 44 = 1993 45 = 1045 46 = 622 47 = 290
48 = 123 49 = 54 50 = 10 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2092102
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 = 0.46% 11 = 0.66% 12 = 0.86% 13 = 1.32% 14 = 1.57% 15 = 1.97%
16 = 2.31% 17 = 3.06% 18 = 3.41% 19 = 4.10% 20 = 4.39% 21 = 4.84% 22 = 5.00% 23 = 5.89%
24 = 5.78% 25 = 5.88% 26 = 5.57% 27 = 5.73% 28 = 5.21% 29 = 5.21% 30 = 4.59% 31 = 4.00%
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 = 0.34% 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 25.121
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 = 2.82% 13 = 4.14% 14 = 5.71% 15 = 7.68%
16 = 9.98% 17 = 13.05% 18 = 16.45% 19 = 20.55% 20 = 24.94% 21 = 29.79% 22 = 34.79% 23 = 40.68%
24 = 46.45% 25 = 52.33% 26 = 57.90% 27 = 63.63% 28 = 68.84% 29 = 74.05% 30 = 78.64% 31 = 82.64%
32 = 86.05% 33 = 89.25% 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 2092102 average is 25.12 variance is 44.65 standard deviation is 6.68

**** special point with adjustment
0 = 1 1 = 8 2 = 77 3 = 332 4 = 527 5 = 794 6 = 1428 7 = 3039
8 = 4437 9 = 7002 10 = 9550 11 = 13816 12 = 17949 13 = 27663 14 = 32795 15 = 41157
16 = 48294 17 = 64066 18 = 71283 19 = 85745 20 = 91857 21 = 101361 22 = 104561 23 = 123266
24 = 120846 25 = 122917 26 = 116583 27 = 119814 28 = 109071 29 = 108954 30 = 96063 31 = 83690
32 = 71237 33 = 66978 34 = 54022 35 = 43882 36 = 34348 37 = 26792 38 = 20047 39 = 15914
40 = 11024 41 = 7009 42 = 4616 43 = 3150 44 = 1993 45 = 1045 46 = 622 47 = 290
48 = 123 49 = 54 50 = 10 51 = 0 52 = 0 53 = 0 54 = 0 55 = 0
total count is 2092102
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 = 0.46% 11 = 0.66% 12 = 0.86% 13 = 1.32% 14 = 1.57% 15 = 1.97%
16 = 2.31% 17 = 3.06% 18 = 3.41% 19 = 4.10% 20 = 4.39% 21 = 4.84% 22 = 5.00% 23 = 5.89%
24 = 5.78% 25 = 5.88% 26 = 5.57% 27 = 5.73% 28 = 5.21% 29 = 5.21% 30 = 4.59% 31 = 4.00%
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 = 0.34% 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 25.121
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 = 2.82% 13 = 4.14% 14 = 5.71% 15 = 7.68%
16 = 9.98% 17 = 13.05% 18 = 16.45% 19 = 20.55% 20 = 24.94% 21 = 29.79% 22 = 34.79% 23 = 40.68%
24 = 46.45% 25 = 52.33% 26 = 57.90% 27 = 63.63% 28 = 68.84% 29 = 74.05% 30 = 78.64% 31 = 82.64%
32 = 86.05% 33 = 89.25% 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 2092102 average is 25.12 variance is 44.65 standard deviation is 6.68

**** Special Long suit point
0 = 278506 1 = 595797 2 = 594329 3 = 375632 4 = 169628 5 = 58676 6 = 15770 7 = 3226
8 = 496 9 = 40 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 2092102
0 = 13.31% 1 = 28.48% 2 = 28.41% 3 = 17.95% 4 = 8.11% 5 = 2.80% 6 = 0.75% 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 2092102 average is 1.91 variance is 1.73 standard deviation is 1.32

**** total special short suit point
0 = 438372 1 = 505661 2 = 589164 3 = 281441 4 = 155882 5 = 62998 6 = 32917 7 = 14810
8 = 6395 9 = 2856 10 = 929 11 = 498 12 = 104 13 = 42 14 = 21 15 = 10
16 = 2 17 = 0 18 = 0 19 = 0 20 = 0 21 = 0 22 = 0 23 = 0
total count is 2092102
0 = 20.95% 1 = 24.17% 2 = 28.16% 3 = 13.45% 4 = 7.45% 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 2092102 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 = 23 3 = 76 4 = 197 5 = 383 6 = 649 7 = 1215
8 = 2110 9 = 3467 10 = 5362 11 = 7775 12 = 10807 13 = 15119 14 = 21185 15 = 27185
16 = 34453 17 = 42668 18 = 52246 19 = 62722 20 = 73416 21 = 83222 22 = 92312 23 = 100626
24 = 109210 25 = 116459 26 = 118800 27 = 119431 28 = 117796 29 = 114859 30 = 110995 31 = 103816
32 = 93781 33 = 83594 34 = 73657 35 = 63734 36 = 53232 37 = 44328 38 = 35063 39 = 27290
40 = 20933 41 = 15704 42 = 11108 43 = 7743 44 = 5208 45 = 3424 46 = 2117 47 = 1245
48 = 690 49 = 366 50 = 170 51 = 85 52 = 27 53 = 9 54 = 7 55 = 1
total count is 2092102
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 = 1.30%
16 = 1.65% 17 = 2.04% 18 = 2.50% 19 = 3.00% 20 = 3.51% 21 = 3.98% 22 = 4.41% 23 = 4.81%
24 = 5.22% 25 = 5.57% 26 = 5.68% 27 = 5.71% 28 = 5.63% 29 = 5.49% 30 = 5.31% 31 = 4.96%
32 = 4.48% 33 = 4.00% 34 = 3.52% 35 = 3.05% 36 = 2.54% 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 27.035
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 = 1.02% 12 = 1.53% 13 = 2.26% 14 = 3.27% 15 = 4.57%
16 = 6.21% 17 = 8.25% 18 = 10.75% 19 = 13.75% 20 = 17.26% 21 = 21.24% 22 = 25.65% 23 = 30.46%
24 = 35.68% 25 = 41.25% 26 = 46.92% 27 = 52.63% 28 = 58.26% 29 = 63.75% 30 = 69.06% 31 = 74.02%
32 = 78.50% 33 = 82.50% 34 = 86.02% 35 = 89.07% 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 = 99.94%
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 2092102 average is 27.04 variance is 46.37 standard deviation is 6.81

**** Special point with adjustment and long suit and short suit point
0 = 0 1 = 0 2 = 12 3 = 32 4 = 87 5 = 194 6 = 343 7 = 660
8 = 1189 9 = 1999 10 = 3088 11 = 4653 12 = 6827 13 = 9851 14 = 13595 15 = 18125
16 = 23710 17 = 30186 18 = 37400 19 = 46279 20 = 55165 21 = 64970 22 = 74107 23 = 83910
24 = 92439 25 = 100096 26 = 106732 27 = 111767 28 = 114170 29 = 115101 30 = 113571 31 = 110837
32 = 105626 33 = 98886 34 = 90443 35 = 81661 36 = 71730 37 = 62564 38 = 53108 39 = 44089
40 = 35749 41 = 28449 42 = 22146 43 = 17015 44 = 12491 45 = 9180 46 = 6265 47 = 4209
48 = 2880 49 = 1905 50 = 1120 51 = 687 52 = 354 53 = 212 54 = 122 55 = 61
56 = 30 57 = 12 58 = 9 59 = 2 60 = 0 61 = 1 62 = 0 63 = 0
total count is 2092101
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 = 0.10% 10 = 0.15% 11 = 0.22% 12 = 0.33% 13 = 0.47% 14 = 0.65% 15 = 0.87%
16 = 1.13% 17 = 1.44% 18 = 1.79% 19 = 2.21% 20 = 2.64% 21 = 3.11% 22 = 3.54% 23 = 4.01%
24 = 4.42% 25 = 4.78% 26 = 5.10% 27 = 5.34% 28 = 5.46% 29 = 5.50% 30 = 5.43% 31 = 5.30%
32 = 5.05% 33 = 4.73% 34 = 4.32% 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 28.888
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 = 0.22% 10 = 0.36% 11 = 0.59% 12 = 0.91% 13 = 1.38% 14 = 2.03% 15 = 2.90%
16 = 4.03% 17 = 5.48% 18 = 7.26% 19 = 9.48% 20 = 12.11% 21 = 15.22% 22 = 18.76% 23 = 22.77%
24 = 27.19% 25 = 31.97% 26 = 37.08% 27 = 42.42% 28 = 47.87% 29 = 53.38% 30 = 58.80% 31 = 64.10%
32 = 69.15% 33 = 73.88% 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 = 98.71% 45 = 99.15% 46 = 99.45% 47 = 99.65%
48 = 99.78% 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 2092102 average is 28.89 variance is 50.38 standard deviation is 7.10

**** Losing trick count
0 = 0 1 = 0 2 = 0 3 = 0 4 = 0 5 = 0 6 = 6 7 = 100
8 = 608 9 = 3193 10 = 13340 11 = 43201 12 = 109710 13 = 219193 14 = 344636 15 = 422866
16 = 398571 17 = 289085 18 = 158662 19 = 64832 20 = 19327 21 = 4144 22 = 580 23 = 46
24 = 2
losing trick count is 2092102
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 = 2.06% 12 = 5.24% 13 = 10.48% 14 = 16.47% 15 = 20.21%
16 = 19.05% 17 = 13.82% 18 = 7.58% 19 = 3.10% 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 = 0.01%
8 = 0.03% 9 = 0.19% 10 = 0.82% 11 = 2.89% 12 = 8.13% 13 = 18.61% 14 = 35.08% 15 = 55.30%
16 = 74.35% 17 = 88.17% 18 = 95.75% 19 = 98.85% 20 = 99.77% 21 = 99.97% 22 = 100.00% 23 = 100.00%
24 = 100.00%
total count is 2092102 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 = 6 7 = 83
8 = 530 9 = 2844 10 = 11917 11 = 38712 12 = 97967 13 = 194556 14 = 302794 15 = 364742
16 = 334245 17 = 232686 18 = 120718 19 = 45924 20 = 12356 21 = 2312 22 = 263 23 = 16
24 = 0
losing trick count for suit fit only is 1762671
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 = 5.56% 13 = 11.04% 14 = 17.18% 15 = 20.69%
16 = 18.96% 17 = 13.20% 18 = 6.85% 19 = 2.61% 20 = 0.70% 21 = 0.13% 22 = 0.01% 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 = 0.01%
8 = 0.04% 9 = 0.20% 10 = 0.87% 11 = 3.07% 12 = 8.63% 13 = 19.66% 14 = 36.84% 15 = 57.53%
16 = 76.50% 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 = 4320 1 = 23709 2 = 68361 3 = 152964 4 = 257675 5 = 345204 6 = 388118 7 = 345332
8 = 257529 9 = 152594 10 = 68351 11 = 23614 12 = 4331
control count is 2092102
0 = 0.21% 1 = 1.13% 2 = 3.27% 3 = 7.31% 4 = 12.32% 5 = 16.50% 6 = 18.55% 7 = 16.51%
8 = 12.31% 9 = 7.29% 10 = 3.27% 11 = 1.13% 12 = 0.21%
average control count is 5.999
0 = 0.21% 1 = 1.34% 2 = 4.61% 3 = 11.92% 4 = 24.24% 5 = 40.74% 6 = 59.29% 7 = 75.79%
8 = 88.10% 9 = 95.40% 10 = 98.66% 11 = 99.79% 12 = 100.00%
total count is 2092102 average is 6.00 variance is 4.39 standard deviation is 2.10

**** total trick distribution
77 = 219939 78 = 109492 79 = 0 710 = 0 711 = 0 712 = 0 713 = 0
87 = 110708 88 = 564194 89 = 239711 810 = 41113 811 = 2806 812 = 0 813 = 0
97 = 0 98 = 239278 99 = 244608 910 = 85869 911 = 15668 912 = 1337 913 = 45
107 = 0 108 = 40752 109 = 85598 1010 = 42448 1011 = 10566 1012 = 1339 1013 = 59
117 = 0 118 = 2859 119 = 15806 1110 = 10665 1111 = 3260 1112 = 521 1113 = 32
127 = 0 128 = 0 129 = 1319 1210 = 1374 1211 = 478 1212 = 104 1213 = 7
137 = 0 138 = 0 139 = 34 1310 = 69 1311 = 34 1312 = 10 1313 = 0
total count is 2092102
77 = 10.51% 78 = 5.23% 79 = 0.00% 710 = 0.00% 711 = 0.00% 712 = 0.00% 713 = 0.00%
87 = 5.29% 88 = 26.97% 89 = 11.46% 810 = 1.97% 811 = 0.13% 812 = 0.00% 813 = 0.00%
97 = 0.00% 98 = 11.44% 99 = 11.69% 910 = 4.10% 911 = 0.75% 912 = 0.06% 913 = 0.00%
107 = 0.00% 108 = 1.95% 109 = 4.09%1010 = 2.03%1011 = 0.51%1012 = 0.06%1013 = 0.00%
117 = 0.00% 118 = 0.14% 119 = 0.76%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 2.501
0 = 30.33% 30.33% 1 = 10.97% 41.30% 2 = 10.98% 52.28% 3 = 14.55% 66.83% 4 = 14.57% 81.40%
5 = 7.12% 88.52% 6 = 4.56% 93.08% 7 = 4.59% 97.67% 8 = 1.02% 98.69% 9 = 1.04% 99.73%
10 = 0.27% 100.00%
** heart high card point average HCP is 2.502
0 = 30.35% 30.35% 1 = 10.97% 41.32% 2 = 10.96% 52.28% 3 = 14.50% 66.78% 4 = 14.57% 81.35%
5 = 7.14% 88.50% 6 = 4.60% 93.09% 7 = 4.59% 97.68% 8 = 1.04% 98.72% 9 = 1.02% 99.74%
10 = 0.26% 100.00%
** diamond high card point average HCP is 2.501
0 = 30.39% 30.39% 1 = 10.95% 41.33% 2 = 10.95% 52.28% 3 = 14.52% 66.80% 4 = 14.56% 81.36%
5 = 7.15% 88.51% 6 = 4.58% 93.09% 7 = 4.58% 97.67% 8 = 1.04% 98.71% 9 = 1.03% 99.73%
10 = 0.27% 100.00%
** club high card point average HCP is 2.500
0 = 30.39% 30.39% 1 = 11.02% 41.40% 2 = 11.01% 52.41% 3 = 14.47% 66.88% 4 = 14.48% 81.36%
5 = 7.11% 88.47% 6 = 4.58% 93.05% 7 = 4.60% 97.65% 8 = 1.04% 98.69% 9 = 1.05% 99.74%
10 = 0.26% 100.00%
** space suit length average length is 3.251
0 = 1.27% 1.27% 1 = 7.98% 9.25% 2 = 20.54% 29.79% 3 = 28.66% 58.45% 4 = 23.94% 82.39%
5 = 12.48% 94.87% 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 = 7.99% 9.28% 2 = 20.60% 29.87% 3 = 28.61% 58.48% 4 = 23.92% 82.40%
5 = 12.45% 94.85% 6 = 4.14% 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%
** diamond suit length average length is 3.250
0 = 1.28% 1.28% 1 = 8.00% 9.28% 2 = 20.54% 29.82% 3 = 28.70% 58.51% 4 = 23.90% 82.42%
5 = 12.43% 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 = 1.28% 1.28% 1 = 8.02% 9.29% 2 = 20.60% 29.89% 3 = 28.66% 58.55% 4 = 23.85% 82.39%
5 = 12.46% 94.85% 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%

**** total HCP
0 = 7564 1 = 16451 2 = 28197 3 = 51366 4 = 80265 5 = 108584 6 = 136575 7 = 168992
8 = 185782 9 = 195113 10 = 196941 11 = 187312 12 = 168398 13 = 144588 14 = 118307 15 = 92813
16 = 69474 17 = 49578 18 = 33732 19 = 21715 20 = 13443 21 = 7992 22 = 4478 23 = 2353
24 = 1116 25 = 558 26 = 225 27 = 120 28 = 41 29 = 22 30 = 7 31 = 0
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 2092102
0 = 0.36% 1 = 0.79% 2 = 1.35% 3 = 2.46% 4 = 3.84% 5 = 5.19% 6 = 6.53% 7 = 8.08%
8 = 8.88% 9 = 9.33% 10 = 9.41% 11 = 8.95% 12 = 8.05% 13 = 6.91% 14 = 5.65% 15 = 4.44%
16 = 3.32% 17 = 2.37% 18 = 1.61% 19 = 1.04% 20 = 0.64% 21 = 0.38% 22 = 0.21% 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 10.004
0 = 0.36% 1 = 1.15% 2 = 2.50% 3 = 4.95% 4 = 8.79% 5 = 13.98% 6 = 20.51% 7 = 28.58%
8 = 37.46% 9 = 46.79% 10 = 56.20% 11 = 65.16% 12 = 73.21% 13 = 80.12% 14 = 85.77% 15 = 90.21%
16 = 93.53% 17 = 95.90% 18 = 97.51% 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 2092102 average is 10.00 variance is 17.06 standard deviation is 4.13

**** Long suit point
0 = 736213 1 = 841670 2 = 400039 3 = 99865 4 = 13345 5 = 934 6 = 35 7 = 1
8 = 0 9 = 0 10 = 0 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
total count is 2092102
0 = 35.19% 1 = 40.23% 2 = 19.12% 3 = 4.77% 4 = 0.64% 5 = 0.04% 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 = 501284 1 = 773295 2 = 566053 3 = 212213 4 = 35091 5 = 3928 6 = 237 7 = 1
8 = 0 9 = 0
total count is 2092102
0 = 23.96% 1 = 36.96% 2 = 27.06% 3 = 10.14% 4 = 1.68% 5 = 0.19% 6 = 0.01% 7 = 0.00%
8 = 0.00% 9 = 0.00%
average short suit point is 1.292
**** total HCL high card plus length point
0 = 3201 1 = 9398 2 = 18298 3 = 33387 4 = 55544 5 = 81437 6 = 108816 7 = 138383
8 = 163957 9 = 181583 10 = 191045 11 = 192157 12 = 182915 13 = 166128 14 = 143640 15 = 118625
16 = 93528 17 = 70397 18 = 50704 19 = 34776 20 = 22612 21 = 14089 22 = 8192 23 = 4638
24 = 2462 25 = 1214 26 = 550 27 = 261 28 = 100 29 = 41 30 = 17 31 = 7
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2092102
0 = 0.15% 1 = 0.45% 2 = 0.87% 3 = 1.60% 4 = 2.65% 5 = 3.89% 6 = 5.20% 7 = 6.61%
8 = 7.84% 9 = 8.68% 10 = 9.13% 11 = 9.18% 12 = 8.74% 13 = 7.94% 14 = 6.87% 15 = 5.67%
16 = 4.47% 17 = 3.36% 18 = 2.42% 19 = 1.66% 20 = 1.08% 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 10.960
0 = 0.15% 1 = 0.60% 2 = 1.48% 3 = 3.07% 4 = 5.73% 5 = 9.62% 6 = 14.82% 7 = 21.44%
8 = 29.27% 9 = 37.95% 10 = 47.08% 11 = 56.27% 12 = 65.01% 13 = 72.95% 14 = 79.82% 15 = 85.49%
16 = 89.96% 17 = 93.32% 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 2092102 average is 10.96 variance is 17.85 standard deviation is 4.22

**** total point include HCP long suit and short suit point
0 = 1002 1 = 4439 2 = 9868 3 = 19449 4 = 33893 5 = 53439 6 = 76868 7 = 102649
8 = 128735 9 = 153132 10 = 170988 11 = 180425 12 = 184198 13 = 177908 14 = 164948 15 = 146633
16 = 124447 17 = 101633 18 = 79314 19 = 59193 20 = 42690 21 = 29420 22 = 19140 23 = 12033
24 = 7114 25 = 4172 26 = 2253 27 = 1168 28 = 550 29 = 228 30 = 107 31 = 45
32 = 15 33 = 6 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2092102
0 = 0.05% 1 = 0.21% 2 = 0.47% 3 = 0.93% 4 = 1.62% 5 = 2.55% 6 = 3.67% 7 = 4.91%
8 = 6.15% 9 = 7.32% 10 = 8.17% 11 = 8.62% 12 = 8.80% 13 = 8.50% 14 = 7.88% 15 = 7.01%
16 = 5.95% 17 = 4.86% 18 = 3.79% 19 = 2.83% 20 = 2.04% 21 = 1.41% 22 = 0.91% 23 = 0.58%
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 = 14.42%
8 = 20.57% 9 = 27.89% 10 = 36.06% 11 = 44.69% 12 = 53.49% 13 = 61.99% 14 = 69.88% 15 = 76.89%
16 = 82.84% 17 = 87.69% 18 = 91.49% 19 = 94.31% 20 = 96.36% 21 = 97.76% 22 = 98.68% 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 2092102 average is 12.25 variance is 19.68 standard deviation is 4.44

**** special point count
0 = 7564 1 = 16451 2 = 31535 3 = 51870 4 = 53444 5 = 46256 6 = 80468 7 = 118562
8 = 125743 9 = 124445 10 = 129876 11 = 120941 12 = 142593 13 = 155354 14 = 141257 15 = 106848
16 = 110928 17 = 97548 18 = 92758 19 = 75713 20 = 65035 21 = 42402 22 = 41241 23 = 31850
24 = 25922 25 = 15954 26 = 13333 27 = 7918 28 = 6802 29 = 4268 30 = 3142 31 = 1424
32 = 1183 33 = 605 34 = 441 35 = 195 36 = 112 37 = 45 38 = 40 39 = 20
40 = 15 41 = 0 42 = 1 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2092102
average special point is 12.692
total count is 2092102 average is 12.69 variance is 33.37 standard deviation is 5.78

**** special point with adjustment
0 = 7564 1 = 16451 2 = 31535 3 = 51870 4 = 53444 5 = 46256 6 = 80468 7 = 118562
8 = 125743 9 = 124445 10 = 129876 11 = 120941 12 = 142593 13 = 155354 14 = 141257 15 = 106848
16 = 110928 17 = 97548 18 = 92758 19 = 75713 20 = 65035 21 = 42402 22 = 41241 23 = 31850
24 = 25922 25 = 15954 26 = 13333 27 = 7918 28 = 6802 29 = 4268 30 = 3142 31 = 1424
32 = 1183 33 = 605 34 = 441 35 = 195 36 = 112 37 = 45 38 = 40 39 = 20
40 = 15 41 = 0 42 = 1 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2092102
0 = 0.36% 1 = 0.79% 2 = 1.51% 3 = 2.48% 4 = 2.55% 5 = 2.21% 6 = 3.85% 7 = 5.67%
8 = 6.01% 9 = 5.95% 10 = 6.21% 11 = 5.78% 12 = 6.82% 13 = 7.43% 14 = 6.75% 15 = 5.11%
16 = 5.30% 17 = 4.66% 18 = 4.43% 19 = 3.62% 20 = 3.11% 21 = 2.03% 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 12.692
total count is 2092102 average is 12.69 variance is 33.37 standard deviation is 5.78

**** special point with adjustment and long suit point
total count is 2092102
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 = 5.23% 9 = 5.78% 10 = 6.02% 11 = 5.95% 12 = 6.22% 13 = 6.68% 14 = 6.94% 15 = 6.39%
16 = 5.70% 17 = 5.11% 18 = 4.74% 19 = 4.23% 20 = 3.71% 21 = 2.95% 22 = 2.34% 23 = 1.89%
24 = 1.54% 25 = 1.16% 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 13.648
0 = 0.15% 1 = 0.60% 2 = 1.54% 3 = 3.20% 4 = 5.43% 5 = 7.79% 6 = 10.65% 7 = 14.67%
8 = 19.90% 9 = 25.68% 10 = 31.70% 11 = 37.66% 12 = 43.88% 13 = 50.56% 14 = 57.50% 15 = 63.90%
16 = 69.59% 17 = 74.71% 18 = 79.44% 19 = 83.67% 20 = 87.39% 21 = 90.33% 22 = 92.67% 23 = 94.56%
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 2092102 average is 13.65 variance is 34.15 standard deviation is 5.84

**** Special point with adjustment and long suit and short suit point
total count is 2092102
0 = 0.05% 1 = 0.21% 2 = 0.52% 3 = 1.03% 4 = 1.51% 5 = 1.87% 6 = 2.31% 7 = 3.09%
8 = 3.89% 9 = 4.76% 10 = 5.27% 11 = 5.68% 12 = 5.87% 13 = 6.32% 14 = 6.47% 15 = 6.51%
16 = 6.14% 17 = 5.82% 18 = 5.32% 19 = 4.93% 20 = 4.31% 21 = 3.78% 22 = 3.14% 23 = 2.67%
24 = 2.10% 25 = 1.73% 26 = 1.29% 27 = 1.02% 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 = 0.01% 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 14.940
0 = 0.05% 1 = 0.26% 2 = 0.78% 3 = 1.81% 4 = 3.32% 5 = 5.20% 6 = 7.50% 7 = 10.60%
8 = 14.48% 9 = 19.25% 10 = 24.52% 11 = 30.19% 12 = 36.06% 13 = 42.38% 14 = 48.86% 15 = 55.36%
16 = 61.51% 17 = 67.33% 18 = 72.65% 19 = 77.58% 20 = 81.89% 21 = 85.67% 22 = 88.81% 23 = 91.48%
24 = 93.58% 25 = 95.31% 26 = 96.60% 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 2092102 average is 14.94 variance is 36.27 standard deviation is 6.02

**** Losing trick count
0 = 0 1 = 0 2 = 213 3 = 4433 4 = 33035 5 = 130769 6 = 314719 7 = 495229
8 = 524879 9 = 371831 10 = 168326 11 = 43770 12 = 4898
losing trick count is 2092102
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.21% 4 = 1.58% 5 = 6.25% 6 = 15.04% 7 = 23.67%
8 = 25.09% 9 = 17.77% 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 = 8.05% 6 = 23.09% 7 = 46.77%
8 = 71.85% 9 = 89.63% 10 = 97.67% 11 = 99.77% 12 = 100.00%
total count is 2092102 average is 7.61 variance is 2.28 standard deviation is 1.51

**** Control count (A = 2, K = 1)
0 = 170434 1 = 278002 2 = 429214 3 = 436690 4 = 350669 5 = 233348 6 = 119635 7 = 51524
8 = 17351 9 = 4332 10 = 801 11 = 101 12 = 1
control count is 2092102
0 = 8.15% 1 = 13.29% 2 = 20.52% 3 = 20.87% 4 = 16.76% 5 = 11.15% 6 = 5.72% 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 = 21.43% 2 = 41.95% 3 = 62.82% 4 = 79.59% 5 = 90.74% 6 = 96.46% 7 = 98.92%
8 = 99.75% 9 = 99.96% 10 = 100.00% 11 = 100.00% 12 = 100.00%

**** total distribution
4432 = 452164 5332 = 324163 5431 = 270676 5422 = 220734 4333 = 221366 6322 = 117508
6421 = 98288 6331 = 71706 5521 = 66190 4441 = 62683 7321 = 39372 6430 = 27557
5440 = 26097 5530 = 18790 6511 = 14666 6520 = 13562 7222 = 10837 7411 = 8210
7420 = 7667 7330 = 5551 8221 = 3959 8311 = 2465 8320 = 2263 7510 = 2188
6610 = 1477 8410 = 993 9211 = 342 9310 = 198 9220 = 179 7600 = 116
8500 = 81 10210 = 23 9400 = 18 10111 = 8 10300 = 4 11110 = 0
11200 = 1 12100 = 0 13000 = 0
total count is 2092102
4432 = 21.61% 5332 = 15.49% 5431 = 12.94% 5422 = 10.55% 4333 = 10.58% 6322 = 5.62%
6421 = 4.70% 6331 = 3.43% 5521 = 3.16% 4441 = 3.00% 7321 = 1.88% 6430 = 1.32%
5440 = 1.25% 5530 = 0.90% 6511 = 0.70% 6520 = 0.65% 7222 = 0.52% 7411 = 0.39%
7420 = 0.37% 7330 = 0.27% 8221 = 0.19% 8311 = 0.12% 8320 = 0.11% 7510 = 0.10%
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 = 10.99% 41.37% 2 = 11.00% 52.37% 3 = 14.50% 66.87% 4 = 14.53% 81.41%
5 = 7.10% 88.51% 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 = 30.37% 30.37% 1 = 10.97% 41.34% 2 = 10.96% 52.30% 3 = 14.54% 66.84% 4 = 14.55% 81.39%
5 = 7.11% 88.50% 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 2.498
0 = 30.43% 30.43% 1 = 10.96% 41.39% 2 = 10.96% 52.35% 3 = 14.53% 66.88% 4 = 14.53% 81.41%
5 = 7.09% 88.51% 6 = 4.59% 93.10% 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 = 30.40% 30.40% 1 = 10.97% 41.37% 2 = 10.97% 52.34% 3 = 14.52% 66.86% 4 = 14.54% 81.40%
5 = 7.13% 88.52% 6 = 4.56% 93.08% 7 = 4.59% 97.67% 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% 9.30% 2 = 20.62% 29.92% 3 = 28.61% 58.53% 4 = 23.85% 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%
** heart suit length average length is 3.252
0 = 1.27% 1.27% 1 = 7.99% 9.26% 2 = 20.54% 29.79% 3 = 28.66% 58.45% 4 = 23.87% 82.32%
5 = 12.51% 94.83% 6 = 4.17% 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 = 1.27% 1.27% 1 = 8.04% 9.31% 2 = 20.59% 29.90% 3 = 28.61% 58.51% 4 = 23.88% 82.39%
5 = 12.46% 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%
** club suit length average length is 3.250
0 = 1.27% 1.27% 1 = 7.99% 9.26% 2 = 20.62% 29.88% 3 = 28.64% 58.52% 4 = 23.87% 82.39%
5 = 12.47% 94.85% 6 = 4.14% 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 = 7536 1 = 16550 2 = 28406 3 = 51573 4 = 80738 5 = 107897 6 = 137631 7 = 168884
8 = 185775 9 = 195987 10 = 196452 11 = 187092 12 = 167994 13 = 143788 14 = 119497 15 = 92308
16 = 69160 17 = 49646 18 = 33478 19 = 21765 20 = 13288 21 = 7876 22 = 4287 23 = 2330
24 = 1170 25 = 586 26 = 244 27 = 109 28 = 43 29 = 9 30 = 3 31 = 0
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 2092102
0 = 0.36% 1 = 0.79% 2 = 1.36% 3 = 2.47% 4 = 3.86% 5 = 5.16% 6 = 6.58% 7 = 8.07%
8 = 8.88% 9 = 9.37% 10 = 9.39% 11 = 8.94% 12 = 8.03% 13 = 6.87% 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 = 0.01% 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 9.996
0 = 0.36% 1 = 1.15% 2 = 2.51% 3 = 4.97% 4 = 8.83% 5 = 13.99% 6 = 20.57% 7 = 28.64%
8 = 37.52% 9 = 46.89% 10 = 56.28% 11 = 65.22% 12 = 73.25% 13 = 80.13% 14 = 85.84% 15 = 90.25%
16 = 93.56% 17 = 95.93% 18 = 97.53% 19 = 98.57% 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 2092102 average is 10.00 variance is 17.05 standard deviation is 4.13

**** Long suit point
0 = 734154 1 = 842900 2 = 401166 3 = 99346 4 = 13536 5 = 967 6 = 31 7 = 2
8 = 0 9 = 0 10 = 0 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
total count is 2092102
0 = 35.09% 1 = 40.29% 2 = 19.18% 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 = 500438 1 = 772413 2 = 567601 3 = 212457 4 = 34967 5 = 3987 6 = 238 7 = 1
8 = 0 9 = 0
total count is 2092102
0 = 23.92% 1 = 36.92% 2 = 27.13% 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 1.294
**** total HCL high card plus length point
0 = 3089 1 = 9317 2 = 18631 3 = 33644 4 = 55671 5 = 81380 6 = 109323 7 = 138347
8 = 164255 9 = 181936 10 = 191228 11 = 191612 12 = 182900 13 = 165931 14 = 143123 15 = 117881
16 = 94034 17 = 70809 18 = 50509 19 = 34674 20 = 22344 21 = 14092 22 = 8217 23 = 4518
24 = 2446 25 = 1251 26 = 518 27 = 260 28 = 106 29 = 41 30 = 13 31 = 2
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2092102
0 = 0.15% 1 = 0.45% 2 = 0.89% 3 = 1.61% 4 = 2.66% 5 = 3.89% 6 = 5.23% 7 = 6.61%
8 = 7.85% 9 = 8.70% 10 = 9.14% 11 = 9.16% 12 = 8.74% 13 = 7.93% 14 = 6.84% 15 = 5.63%
16 = 4.49% 17 = 3.38% 18 = 2.41% 19 = 1.66% 20 = 1.07% 21 = 0.67% 22 = 0.39% 23 = 0.22%
24 = 0.12% 25 = 0.06% 26 = 0.02% 27 = 0.01% 28 = 0.01% 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 = 0.59% 2 = 1.48% 3 = 3.09% 4 = 5.75% 5 = 9.64% 6 = 14.87% 7 = 21.48%
8 = 29.33% 9 = 38.03% 10 = 47.17% 11 = 56.33% 12 = 65.07% 13 = 73.00% 14 = 79.84% 15 = 85.48%
16 = 89.97% 17 = 93.36% 18 = 95.77% 19 = 97.43% 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 2092102 average is 10.95 variance is 17.85 standard deviation is 4.22

**** total point include HCP long suit and short suit point
0 = 958 1 = 4253 2 = 9837 3 = 19547 4 = 34199 5 = 53273 6 = 77283 7 = 103236
8 = 129125 9 = 153060 10 = 170415 11 = 181253 12 = 184297 13 = 177592 14 = 164505 15 = 146243
16 = 124132 17 = 101532 18 = 79122 19 = 59430 20 = 42707 21 = 29313 22 = 18940 23 = 12283
24 = 7150 25 = 4190 26 = 2189 27 = 1110 28 = 508 29 = 252 30 = 106 31 = 40
32 = 20 33 = 2 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2092102
0 = 0.05% 1 = 0.20% 2 = 0.47% 3 = 0.93% 4 = 1.63% 5 = 2.55% 6 = 3.69% 7 = 4.93%
8 = 6.17% 9 = 7.32% 10 = 8.15% 11 = 8.66% 12 = 8.81% 13 = 8.49% 14 = 7.86% 15 = 6.99%
16 = 5.93% 17 = 4.85% 18 = 3.78% 19 = 2.84% 20 = 2.04% 21 = 1.40% 22 = 0.91% 23 = 0.59%
24 = 0.34% 25 = 0.20% 26 = 0.10% 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 = 1.65% 4 = 3.29% 5 = 5.83% 6 = 9.53% 7 = 14.46%
8 = 20.64% 9 = 27.95% 10 = 36.10% 11 = 44.76% 12 = 53.57% 13 = 62.06% 14 = 69.92% 15 = 76.91%
16 = 82.85% 17 = 87.70% 18 = 91.48% 19 = 94.32% 20 = 96.36% 21 = 97.76% 22 = 98.67% 23 = 99.26%
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 2092102 average is 12.25 variance is 19.68 standard deviation is 4.44

**** special point count
0 = 7536 1 = 16550 2 = 31806 3 = 52048 4 = 53154 5 = 46941 6 = 80573 7 = 118238
8 = 125806 9 = 124416 10 = 131120 11 = 121067 12 = 142849 13 = 154633 14 = 141014 15 = 106860
16 = 110163 17 = 98061 18 = 92697 19 = 75555 20 = 64939 21 = 42265 22 = 40996 23 = 32076
24 = 25947 25 = 15835 26 = 13240 27 = 7829 28 = 6462 29 = 4291 30 = 3109 31 = 1325
32 = 1146 33 = 661 34 = 447 35 = 190 36 = 143 37 = 50 38 = 40 39 = 22
40 = 1 41 = 1 42 = 0 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2092102
average special point is 12.680
total count is 2092102 average is 12.68 variance is 33.33 standard deviation is 5.77

**** special point with adjustment
0 = 7536 1 = 16550 2 = 31806 3 = 52048 4 = 53154 5 = 46941 6 = 80573 7 = 118238
8 = 125806 9 = 124416 10 = 131120 11 = 121067 12 = 142849 13 = 154633 14 = 141014 15 = 106860
16 = 110163 17 = 98061 18 = 92697 19 = 75555 20 = 64939 21 = 42265 22 = 40996 23 = 32076
24 = 25947 25 = 15835 26 = 13240 27 = 7829 28 = 6462 29 = 4291 30 = 3109 31 = 1325
32 = 1146 33 = 661 34 = 447 35 = 190 36 = 143 37 = 50 38 = 40 39 = 22
40 = 1 41 = 1 42 = 0 43 = 0 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2092102
0 = 0.36% 1 = 0.79% 2 = 1.52% 3 = 2.49% 4 = 2.54% 5 = 2.24% 6 = 3.85% 7 = 5.65%
8 = 6.01% 9 = 5.95% 10 = 6.27% 11 = 5.79% 12 = 6.83% 13 = 7.39% 14 = 6.74% 15 = 5.11%
16 = 5.27% 17 = 4.69% 18 = 4.43% 19 = 3.61% 20 = 3.10% 21 = 2.02% 22 = 1.96% 23 = 1.53%
24 = 1.24% 25 = 0.76% 26 = 0.63% 27 = 0.37% 28 = 0.31% 29 = 0.21% 30 = 0.15% 31 = 0.06%
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 2092102 average is 12.68 variance is 33.33 standard deviation is 5.77

**** special point with adjustment and long suit point
total count is 2092102
0 = 0.15% 1 = 0.45% 2 = 0.96% 3 = 1.66% 4 = 2.24% 5 = 2.36% 6 = 2.87% 7 = 4.02%
8 = 5.25% 9 = 5.74% 10 = 6.05% 11 = 6.01% 12 = 6.23% 13 = 6.67% 14 = 6.92% 15 = 6.39%
16 = 5.69% 17 = 5.10% 18 = 4.73% 19 = 4.22% 20 = 3.71% 21 = 2.96% 22 = 2.35% 23 = 1.88%
24 = 1.55% 25 = 1.16% 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 = 0.59% 2 = 1.55% 3 = 3.21% 4 = 5.45% 5 = 7.81% 6 = 10.68% 7 = 14.70%
8 = 19.95% 9 = 25.70% 10 = 31.75% 11 = 37.76% 12 = 43.98% 13 = 50.65% 14 = 57.57% 15 = 63.96%
16 = 69.65% 17 = 74.75% 18 = 79.48% 19 = 83.70% 20 = 87.40% 21 = 90.36% 22 = 92.71% 23 = 94.58%
24 = 96.13% 25 = 97.29% 26 = 98.15% 27 = 98.75% 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 2092102 average is 13.64 variance is 34.12 standard deviation is 5.84

**** Special point with adjustment and long suit and short suit point
total count is 2092102
0 = 0.05% 1 = 0.20% 2 = 0.52% 3 = 1.03% 4 = 1.52% 5 = 1.88% 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 = 6.49%
16 = 6.13% 17 = 5.85% 18 = 5.30% 19 = 4.90% 20 = 4.29% 21 = 3.80% 22 = 3.11% 23 = 2.66%
24 = 2.13% 25 = 1.73% 26 = 1.29% 27 = 1.02% 28 = 0.72% 29 = 0.54% 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 14.931
0 = 0.05% 1 = 0.25% 2 = 0.76% 3 = 1.80% 4 = 3.32% 5 = 5.20% 6 = 7.53% 7 = 10.61%
8 = 14.54% 9 = 19.30% 10 = 24.54% 11 = 30.26% 12 = 36.15% 13 = 42.47% 14 = 48.94% 15 = 55.43%
16 = 61.56% 17 = 67.41% 18 = 72.71% 19 = 77.61% 20 = 81.90% 21 = 85.70% 22 = 88.82% 23 = 91.47%
24 = 93.60% 25 = 95.32% 26 = 96.62% 27 = 97.64% 28 = 98.36% 29 = 98.91% 30 = 99.28% 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 2092102 average is 14.93 variance is 36.24 standard deviation is 6.02

**** Losing trick count
0 = 0 1 = 1 2 = 191 3 = 4443 4 = 33239 5 = 131147 6 = 313628 7 = 495711
8 = 524235 9 = 371832 10 = 169016 11 = 43958 12 = 4701
losing trick count is 2092102
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.21% 4 = 1.59% 5 = 6.27% 6 = 14.99% 7 = 23.69%
8 = 25.06% 9 = 17.77% 10 = 8.08% 11 = 2.10% 12 = 0.22%
average losing trick count is 7.612
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.22% 4 = 1.81% 5 = 8.08% 6 = 23.07% 7 = 46.76%
8 = 71.82% 9 = 89.60% 10 = 97.67% 11 = 99.78% 12 = 100.00%
total count is 2092102 average is 7.61 variance is 2.29 standard deviation is 1.51

**** Control count (A = 2, K = 1)
0 = 170824 1 = 278389 2 = 430563 3 = 436051 4 = 350125 5 = 233801 6 = 119114 7 = 51050
8 = 16914 9 = 4327 10 = 835 11 = 108 12 = 1
control count is 2092102
0 = 8.17% 1 = 13.31% 2 = 20.58% 3 = 20.84% 4 = 16.74% 5 = 11.18% 6 = 5.69% 7 = 2.44%
8 = 0.81% 9 = 0.21% 10 = 0.04% 11 = 0.01% 12 = 0.00%
average control count is 2.998
0 = 8.17% 1 = 21.47% 2 = 42.05% 3 = 62.89% 4 = 79.63% 5 = 90.81% 6 = 96.50% 7 = 98.94%
8 = 99.75% 9 = 99.95% 10 = 99.99% 11 = 100.00% 12 = 100.00%

**** total distribution
4432 = 451035 5332 = 324701 5431 = 270623 5422 = 221532 4333 = 220657 6322 = 117744
6421 = 98736 6331 = 72019 5521 = 66473 4441 = 62462 7321 = 39035 6430 = 27568
5440 = 26044 5530 = 18626 6511 = 14839 6520 = 13623 7222 = 10751 7411 = 8173
7420 = 7481 7330 = 5444 8221 = 4097 8311 = 2455 8320 = 2315 7510 = 2271
6610 = 1470 8410 = 928 9211 = 384 9310 = 215 9220 = 148 7600 = 127
8500 = 69 10210 = 20 9400 = 24 10111 = 10 10300 = 1 11110 = 0
11200 = 2 12100 = 0 13000 = 0
total count is 2092102
4432 = 21.56% 5332 = 15.52% 5431 = 12.94% 5422 = 10.59% 4333 = 10.55% 6322 = 5.63%
6421 = 4.72% 6331 = 3.44% 5521 = 3.18% 4441 = 2.99% 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 2.498
0 = 30.41% 30.41% 1 = 10.98% 41.39% 2 = 10.99% 52.39% 3 = 14.50% 66.89% 4 = 14.51% 81.40%
5 = 7.11% 88.51% 6 = 4.56% 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 = 30.39% 30.39% 1 = 10.99% 41.39% 2 = 11.00% 52.39% 3 = 14.52% 66.91% 4 = 14.52% 81.43%
5 = 7.11% 88.54% 6 = 4.59% 93.14% 7 = 4.55% 97.69% 8 = 1.02% 98.71% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** diamond high card point average HCP is 2.500
0 = 30.37% 30.37% 1 = 10.97% 41.35% 2 = 10.98% 52.32% 3 = 14.54% 66.86% 4 = 14.53% 81.39%
5 = 7.13% 88.52% 6 = 4.58% 93.10% 7 = 4.59% 97.68% 8 = 1.02% 98.71% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** club high card point average HCP is 2.501
0 = 30.38% 30.38% 1 = 10.97% 41.35% 2 = 10.99% 52.34% 3 = 14.51% 66.85% 4 = 14.50% 81.35%
5 = 7.11% 88.46% 6 = 4.60% 93.06% 7 = 4.61% 97.67% 8 = 1.04% 98.71% 9 = 1.02% 99.74%
10 = 0.26% 100.00%
** space suit length average length is 3.250
0 = 1.29% 1.29% 1 = 8.01% 9.30% 2 = 20.58% 29.88% 3 = 28.60% 58.48% 4 = 23.92% 82.39%
5 = 12.45% 94.84% 6 = 4.14% 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 = 8.03% 9.30% 2 = 20.60% 29.90% 3 = 28.65% 58.55% 4 = 23.86% 82.42%
5 = 12.45% 94.87% 6 = 4.14% 99.01% 7 = 0.87% 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 = 1.27% 1.27% 1 = 8.02% 9.29% 2 = 20.57% 29.86% 3 = 28.63% 58.49% 4 = 23.88% 82.37%
5 = 12.49% 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 = 1.28% 1.28% 1 = 7.97% 9.25% 2 = 20.63% 29.87% 3 = 28.58% 58.45% 4 = 23.86% 82.31%
5 = 12.50% 94.81% 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 = 7692 1 = 16557 2 = 28338 3 = 52077 4 = 80226 5 = 108937 6 = 136902 7 = 167931
8 = 186674 9 = 195093 10 = 196214 11 = 187416 12 = 167784 13 = 144792 14 = 119089 15 = 92777
16 = 69404 17 = 48988 18 = 33561 19 = 21520 20 = 13389 21 = 7912 22 = 4386 23 = 2335
24 = 1148 25 = 554 26 = 263 27 = 97 28 = 33 29 = 10 30 = 2 31 = 0
32 = 1 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 2092102
0 = 0.37% 1 = 0.79% 2 = 1.35% 3 = 2.49% 4 = 3.83% 5 = 5.21% 6 = 6.54% 7 = 8.03%
8 = 8.92% 9 = 9.33% 10 = 9.38% 11 = 8.96% 12 = 8.02% 13 = 6.92% 14 = 5.69% 15 = 4.43%
16 = 3.32% 17 = 2.34% 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 = 5.00% 4 = 8.84% 5 = 14.04% 6 = 20.59% 7 = 28.62%
8 = 37.54% 9 = 46.86% 10 = 56.24% 11 = 65.20% 12 = 73.22% 13 = 80.14% 14 = 85.83% 15 = 90.27%
16 = 93.59% 17 = 95.93% 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 2092102 average is 10.00 variance is 17.06 standard deviation is 4.13

**** Long suit point
0 = 734218 1 = 842945 2 = 400913 3 = 99393 4 = 13645 5 = 956 6 = 31 7 = 1
8 = 0 9 = 0 10 = 0 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
total count is 2092102
0 = 35.09% 1 = 40.29% 2 = 19.16% 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 = 499818 1 = 772702 2 = 568291 3 = 212071 4 = 34901 5 = 4092 6 = 226 7 = 1
8 = 0 9 = 0
total count is 2092102
0 = 23.89% 1 = 36.93% 2 = 27.16% 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 = 3132 1 = 9387 2 = 18562 3 = 33749 4 = 55830 5 = 81851 6 = 109253 7 = 138131
8 = 163587 9 = 182072 10 = 190977 11 = 191596 12 = 182860 13 = 165644 14 = 143472 15 = 118975
16 = 93329 17 = 70407 18 = 50836 19 = 34385 20 = 22605 21 = 13993 22 = 8298 23 = 4598
24 = 2441 25 = 1206 26 = 539 27 = 254 28 = 83 29 = 39 30 = 9 31 = 1
32 = 0 33 = 1 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2092102
0 = 0.15% 1 = 0.45% 2 = 0.89% 3 = 1.61% 4 = 2.67% 5 = 3.91% 6 = 5.22% 7 = 6.60%
8 = 7.82% 9 = 8.70% 10 = 9.13% 11 = 9.16% 12 = 8.74% 13 = 7.92% 14 = 6.86% 15 = 5.69%
16 = 4.46% 17 = 3.37% 18 = 2.43% 19 = 1.64% 20 = 1.08% 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 10.953
0 = 0.15% 1 = 0.60% 2 = 1.49% 3 = 3.10% 4 = 5.77% 5 = 9.68% 6 = 14.90% 7 = 21.50%
8 = 29.32% 9 = 38.03% 10 = 47.16% 11 = 56.31% 12 = 65.05% 13 = 72.97% 14 = 79.83% 15 = 85.52%
16 = 89.98% 17 = 93.34% 18 = 95.77% 19 = 97.42% 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 2092102 average is 10.95 variance is 17.86 standard deviation is 4.23

**** total point include HCP long suit and short suit point
0 = 982 1 = 4365 2 = 9858 3 = 19484 4 = 34267 5 = 53692 6 = 77015 7 = 103309
8 = 129403 9 = 152399 10 = 170269 11 = 181707 12 = 183344 13 = 177908 14 = 164146 15 = 146804
16 = 124417 17 = 101153 18 = 79152 19 = 59571 20 = 42514 21 = 29344 22 = 19138 23 = 12249
24 = 7228 25 = 4195 26 = 2175 27 = 1154 28 = 486 29 = 223 30 = 103 31 = 29
32 = 14 33 = 3 34 = 2 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2092102
0 = 0.05% 1 = 0.21% 2 = 0.47% 3 = 0.93% 4 = 1.64% 5 = 2.57% 6 = 3.68% 7 = 4.94%
8 = 6.19% 9 = 7.28% 10 = 8.14% 11 = 8.69% 12 = 8.76% 13 = 8.50% 14 = 7.85% 15 = 7.02%
16 = 5.95% 17 = 4.83% 18 = 3.78% 19 = 2.85% 20 = 2.03% 21 = 1.40% 22 = 0.91% 23 = 0.59%
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 = 0.26% 2 = 0.73% 3 = 1.66% 4 = 3.30% 5 = 5.86% 6 = 9.54% 7 = 14.48%
8 = 20.67% 9 = 27.95% 10 = 36.09% 11 = 44.78% 12 = 53.54% 13 = 62.04% 14 = 69.89% 15 = 76.91%
16 = 82.85% 17 = 87.69% 18 = 91.47% 19 = 94.32% 20 = 96.35% 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 2092102 average is 12.25 variance is 19.70 standard deviation is 4.44

**** special point count
0 = 7692 1 = 16557 2 = 31696 3 = 52299 4 = 53652 5 = 46504 6 = 80402 7 = 118857
8 = 126125 9 = 123493 10 = 130676 11 = 120792 12 = 142449 13 = 154462 14 = 141445 15 = 107284
16 = 111106 17 = 96912 18 = 93117 19 = 76251 20 = 64745 21 = 42154 22 = 41022 23 = 31493
24 = 25881 25 = 15963 26 = 13168 27 = 7748 28 = 6802 29 = 4294 30 = 3010 31 = 1424
32 = 1140 33 = 608 34 = 455 35 = 175 36 = 148 37 = 43 38 = 41 39 = 9
40 = 7 41 = 0 42 = 0 43 = 0 44 = 1 45 = 0 46 = 0 47 = 0
total count is 2092102
average special point is 12.679
total count is 2092102 average is 12.68 variance is 33.34 standard deviation is 5.77

**** special point with adjustment
0 = 7692 1 = 16557 2 = 31696 3 = 52299 4 = 53652 5 = 46504 6 = 80402 7 = 118857
8 = 126125 9 = 123493 10 = 130676 11 = 120792 12 = 142449 13 = 154462 14 = 141445 15 = 107284
16 = 111106 17 = 96912 18 = 93117 19 = 76251 20 = 64745 21 = 42154 22 = 41022 23 = 31493
24 = 25881 25 = 15963 26 = 13168 27 = 7748 28 = 6802 29 = 4294 30 = 3010 31 = 1424
32 = 1140 33 = 608 34 = 455 35 = 175 36 = 148 37 = 43 38 = 41 39 = 9
40 = 7 41 = 0 42 = 0 43 = 0 44 = 1 45 = 0 46 = 0 47 = 0
total count is 2092102
0 = 0.37% 1 = 0.79% 2 = 1.52% 3 = 2.50% 4 = 2.56% 5 = 2.22% 6 = 3.84% 7 = 5.68%
8 = 6.03% 9 = 5.90% 10 = 6.25% 11 = 5.77% 12 = 6.81% 13 = 7.38% 14 = 6.76% 15 = 5.13%
16 = 5.31% 17 = 4.63% 18 = 4.45% 19 = 3.64% 20 = 3.09% 21 = 2.01% 22 = 1.96% 23 = 1.51%
24 = 1.24% 25 = 0.76% 26 = 0.63% 27 = 0.37% 28 = 0.33% 29 = 0.21% 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 12.679
total count is 2092102 average is 12.68 variance is 33.34 standard deviation is 5.77

**** special point with adjustment and long suit point
total count is 2092102
0 = 0.15% 1 = 0.45% 2 = 0.95% 3 = 1.66% 4 = 2.26% 5 = 2.37% 6 = 2.87% 7 = 4.04%
8 = 5.23% 9 = 5.76% 10 = 6.06% 11 = 5.97% 12 = 6.19% 13 = 6.68% 14 = 6.93% 15 = 6.37%
16 = 5.72% 17 = 5.09% 18 = 4.74% 19 = 4.23% 20 = 3.73% 21 = 2.94% 22 = 2.35% 23 = 1.86%
24 = 1.53% 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 = 5.47% 5 = 7.84% 6 = 10.70% 7 = 14.75%
8 = 19.98% 9 = 25.74% 10 = 31.79% 11 = 37.76% 12 = 43.95% 13 = 50.62% 14 = 57.55% 15 = 63.92%
16 = 69.64% 17 = 74.74% 18 = 79.47% 19 = 83.71% 20 = 87.44% 21 = 90.37% 22 = 92.72% 23 = 94.58%
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 2092102 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 2092102
0 = 0.05% 1 = 0.21% 2 = 0.52% 3 = 1.03% 4 = 1.52% 5 = 1.91% 6 = 2.32% 7 = 3.10%
8 = 3.91% 9 = 4.75% 10 = 5.29% 11 = 5.69% 12 = 5.89% 13 = 6.29% 14 = 6.45% 15 = 6.52%
16 = 6.11% 17 = 5.83% 18 = 5.29% 19 = 4.95% 20 = 4.31% 21 = 3.78% 22 = 3.14% 23 = 2.65%
24 = 2.10% 25 = 1.72% 26 = 1.29% 27 = 1.02% 28 = 0.73% 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 = 0.26% 2 = 0.77% 3 = 1.80% 4 = 3.32% 5 = 5.22% 6 = 7.55% 7 = 10.65%
8 = 14.56% 9 = 19.31% 10 = 24.59% 11 = 30.28% 12 = 36.17% 13 = 42.46% 14 = 48.91% 15 = 55.43%
16 = 61.54% 17 = 67.37% 18 = 72.66% 19 = 77.61% 20 = 81.91% 21 = 85.70% 22 = 88.84% 23 = 91.49%
24 = 93.59% 25 = 95.31% 26 = 96.60% 27 = 97.62% 28 = 98.35% 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 2092102 average is 14.93 variance is 36.28 standard deviation is 6.02

**** Losing trick count
0 = 0 1 = 0 2 = 168 3 = 4417 4 = 33237 5 = 130749 6 = 315587 7 = 493857
8 = 524729 9 = 372287 10 = 168459 11 = 43782 12 = 4830
losing trick count is 2092102
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.21% 4 = 1.59% 5 = 6.25% 6 = 15.08% 7 = 23.61%
8 = 25.08% 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 = 1.81% 5 = 8.06% 6 = 23.14% 7 = 46.75%
8 = 71.83% 9 = 89.62% 10 = 97.68% 11 = 99.77% 12 = 100.00%
total count is 2092102 average is 7.61 variance is 2.29 standard deviation is 1.51

**** Control count (A = 2, K = 1)
0 = 171376 1 = 278386 2 = 429245 3 = 436779 4 = 350763 5 = 233312 6 = 118668 7 = 51375
8 = 16996 9 = 4285 10 = 817 11 = 99 12 = 1
control count is 2092102
0 = 8.19% 1 = 13.31% 2 = 20.52% 3 = 20.88% 4 = 16.77% 5 = 11.15% 6 = 5.67% 7 = 2.46%
8 = 0.81% 9 = 0.20% 10 = 0.04% 11 = 0.00% 12 = 0.00%
average control count is 2.998
0 = 8.19% 1 = 21.50% 2 = 42.02% 3 = 62.89% 4 = 79.66% 5 = 90.81% 6 = 96.48% 7 = 98.94%
8 = 99.75% 9 = 99.96% 10 = 100.00% 11 = 100.00% 12 = 100.00%

**** total distribution
4432 = 450931 5332 = 323843 5431 = 270816 5422 = 222217 4333 = 220565 6322 = 118025
6421 = 98070 6331 = 72039 5521 = 66361 4441 = 62722 7321 = 39061 6430 = 27666
5440 = 26069 5530 = 18752 6511 = 14729 6520 = 13488 7222 = 10814 7411 = 8272
7420 = 7485 7330 = 5544 8221 = 4202 8311 = 2486 8320 = 2180 7510 = 2297
6610 = 1533 8410 = 947 9211 = 391 9310 = 205 9220 = 154 7600 = 120
8500 = 65 10210 = 21 9400 = 21 10111 = 5 10300 = 5 11110 = 0
11200 = 1 12100 = 0 13000 = 0
total count is 2092102
4432 = 21.55% 5332 = 15.48% 5431 = 12.94% 5422 = 10.62% 4333 = 10.54% 6322 = 5.64%
6421 = 4.69% 6331 = 3.44% 5521 = 3.17% 4441 = 3.00% 7321 = 1.87% 6430 = 1.32%
5440 = 1.25% 5530 = 0.90% 6511 = 0.70% 6520 = 0.64% 7222 = 0.52% 7411 = 0.40%
7420 = 0.36% 7330 = 0.26% 8221 = 0.20% 8311 = 0.12% 8320 = 0.10% 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%

**************** West hand statistic ****************
** spade high card point average HCP is 2.501
0 = 30.36% 30.36% 1 = 10.99% 41.34% 2 = 10.96% 52.30% 3 = 14.55% 66.85% 4 = 14.53% 81.38%
5 = 7.10% 88.48% 6 = 4.58% 93.06% 7 = 4.61% 97.67% 8 = 1.03% 98.70% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** heart high card point average HCP is 2.501
0 = 30.40% 30.40% 1 = 10.98% 41.38% 2 = 10.95% 52.32% 3 = 14.45% 66.77% 4 = 14.60% 81.37%
5 = 7.10% 88.47% 6 = 4.61% 93.08% 7 = 4.59% 97.67% 8 = 1.03% 98.70% 9 = 1.04% 99.73%
10 = 0.27% 100.00%
** diamond high card point average HCP is 2.501
0 = 30.36% 30.36% 1 = 10.94% 41.30% 2 = 10.99% 52.29% 3 = 14.58% 66.87% 4 = 14.50% 81.38%
5 = 7.09% 88.47% 6 = 4.63% 93.10% 7 = 4.58% 97.68% 8 = 1.03% 98.71% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** club high card point average HCP is 2.500
0 = 30.40% 30.40% 1 = 10.93% 41.33% 2 = 10.97% 52.30% 3 = 14.57% 66.86% 4 = 14.52% 81.38%
5 = 7.12% 88.49% 6 = 4.59% 93.09% 7 = 4.58% 97.67% 8 = 1.04% 98.70% 9 = 1.03% 99.74%
10 = 0.26% 100.00%
** space suit length average length is 3.250
0 = 1.29% 1.29% 1 = 7.99% 9.28% 2 = 20.55% 29.83% 3 = 28.68% 58.51% 4 = 23.86% 82.38%
5 = 12.48% 94.85% 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%
** heart suit length average length is 3.250
0 = 1.28% 1.28% 1 = 8.03% 9.31% 2 = 20.57% 29.88% 3 = 28.64% 58.52% 4 = 23.82% 82.34%
5 = 12.48% 94.83% 6 = 4.18% 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 3.251
0 = 1.28% 1.28% 1 = 7.96% 9.24% 2 = 20.57% 29.81% 3 = 28.68% 58.48% 4 = 23.90% 82.38%
5 = 12.47% 94.86% 6 = 4.14% 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%
** club suit length average length is 3.249
0 = 1.28% 1.28% 1 = 8.00% 9.28% 2 = 20.58% 29.87% 3 = 28.70% 58.56% 4 = 23.81% 82.37%
5 = 12.46% 94.84% 6 = 4.16% 98.99% 7 = 0.89% 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%

**** total HCP
0 = 7512 1 = 16538 2 = 28288 3 = 51760 4 = 80458 5 = 108391 6 = 137559 7 = 167969
8 = 185855 9 = 194814 10 = 195887 11 = 187461 12 = 167873 13 = 144719 14 = 119244 15 = 92606
16 = 70055 17 = 49168 18 = 33903 19 = 21534 20 = 13362 21 = 8176 22 = 4537 23 = 2367
24 = 1144 25 = 549 26 = 237 27 = 82 28 = 32 29 = 12 30 = 9 31 = 1
32 = 0 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0
total count is 2092102
0 = 0.36% 1 = 0.79% 2 = 1.35% 3 = 2.47% 4 = 3.85% 5 = 5.18% 6 = 6.58% 7 = 8.03%
8 = 8.88% 9 = 9.31% 10 = 9.36% 11 = 8.96% 12 = 8.02% 13 = 6.92% 14 = 5.70% 15 = 4.43%
16 = 3.35% 17 = 2.35% 18 = 1.62% 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 10.004
0 = 0.36% 1 = 1.15% 2 = 2.50% 3 = 4.98% 4 = 8.82% 5 = 14.00% 6 = 20.58% 7 = 28.61%
8 = 37.49% 9 = 46.80% 10 = 56.17% 11 = 65.13% 12 = 73.15% 13 = 80.07% 14 = 85.77% 15 = 90.19%
16 = 93.54% 17 = 95.89% 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 2092102 average is 10.00 variance is 17.09 standard deviation is 4.13

**** Long suit point
0 = 734149 1 = 842782 2 = 401389 3 = 99433 4 = 13351 5 = 962 6 = 35 7 = 1
8 = 0 9 = 0 10 = 0 11 = 0 12 = 0 13 = 0 14 = 0 15 = 0
total count is 2092102
0 = 35.09% 1 = 40.28% 2 = 19.19% 3 = 4.75% 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 = 500581 1 = 772548 2 = 567390 3 = 212496 4 = 34829 5 = 4005 6 = 253 7 = 0
8 = 0 9 = 0
total count is 2092102
0 = 23.93% 1 = 36.93% 2 = 27.12% 3 = 10.16% 4 = 1.66% 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 = 3086 1 = 9385 2 = 18450 3 = 33516 4 = 55805 5 = 81996 6 = 109141 7 = 138012
8 = 163831 9 = 181430 10 = 190097 11 = 191462 12 = 183217 13 = 165574 14 = 143972 15 = 118243
16 = 94005 17 = 70870 18 = 50785 19 = 34885 20 = 22530 21 = 14056 22 = 8511 23 = 4661
24 = 2451 25 = 1197 26 = 582 27 = 222 28 = 83 29 = 33 30 = 7 31 = 5
32 = 2 33 = 0 34 = 0 35 = 0 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2092102
0 = 0.15% 1 = 0.45% 2 = 0.88% 3 = 1.60% 4 = 2.67% 5 = 3.92% 6 = 5.22% 7 = 6.60%
8 = 7.83% 9 = 8.67% 10 = 9.09% 11 = 9.15% 12 = 8.76% 13 = 7.91% 14 = 6.88% 15 = 5.65%
16 = 4.49% 17 = 3.39% 18 = 2.43% 19 = 1.67% 20 = 1.08% 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 10.961
0 = 0.15% 1 = 0.60% 2 = 1.48% 3 = 3.08% 4 = 5.75% 5 = 9.67% 6 = 14.88% 7 = 21.48%
8 = 29.31% 9 = 37.98% 10 = 47.07% 11 = 56.22% 12 = 64.98% 13 = 72.89% 14 = 79.77% 15 = 85.43%
16 = 89.92% 17 = 93.31% 18 = 95.74% 19 = 97.40% 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 2092102 average is 10.96 variance is 17.89 standard deviation is 4.23

**** total point include HCP long suit and short suit point
0 = 1010 1 = 4281 2 = 9622 3 = 19619 4 = 33896 5 = 53944 6 = 77594 7 = 103099
8 = 128763 9 = 152274 10 = 170129 11 = 180502 12 = 183347 13 = 178622 14 = 164503 15 = 145834
16 = 124648 17 = 101816 18 = 79707 19 = 59500 20 = 42579 21 = 29721 22 = 19199 23 = 12189
24 = 7306 25 = 4141 26 = 2206 27 = 1127 28 = 552 29 = 235 30 = 86 31 = 36
32 = 10 33 = 3 34 = 1 35 = 1 36 = 0 37 = 0 38 = 0 39 = 0
total count is 2092102
0 = 0.05% 1 = 0.20% 2 = 0.46% 3 = 0.94% 4 = 1.62% 5 = 2.58% 6 = 3.71% 7 = 4.93%
8 = 6.15% 9 = 7.28% 10 = 8.13% 11 = 8.63% 12 = 8.76% 13 = 8.54% 14 = 7.86% 15 = 6.97%
16 = 5.96% 17 = 4.87% 18 = 3.81% 19 = 2.84% 20 = 2.04% 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 12.254
0 = 0.05% 1 = 0.25% 2 = 0.71% 3 = 1.65% 4 = 3.27% 5 = 5.85% 6 = 9.56% 7 = 14.49%
8 = 20.64% 9 = 27.92% 10 = 36.05% 11 = 44.68% 12 = 53.44% 13 = 61.98% 14 = 69.84% 15 = 76.81%
16 = 82.77% 17 = 87.64% 18 = 91.45% 19 = 94.29% 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 2092102 average is 12.25 variance is 19.72 standard deviation is 4.44

**** special point count
0 = 7512 1 = 16538 2 = 31505 3 = 52140 4 = 53578 5 = 46933 6 = 80660 7 = 118580
8 = 125460 9 = 123618 10 = 130366 11 = 120034 12 = 142799 13 = 155539 14 = 140987 15 = 106631
16 = 110491 17 = 97560 18 = 93069 19 = 76259 20 = 65223 21 = 42262 22 = 41134 23 = 31784
24 = 25899 25 = 15980 26 = 13348 27 = 7825 28 = 6827 29 = 4216 30 = 3282 31 = 1428
32 = 1169 33 = 617 34 = 419 35 = 210 36 = 133 37 = 33 38 = 25 39 = 19
40 = 5 41 = 1 42 = 3 43 = 1 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2092102
average special point is 12.690
total count is 2092102 average is 12.69 variance is 33.41 standard deviation is 5.78

**** special point with adjustment
0 = 7512 1 = 16538 2 = 31505 3 = 52140 4 = 53578 5 = 46933 6 = 80660 7 = 118580
8 = 125460 9 = 123618 10 = 130366 11 = 120034 12 = 142799 13 = 155539 14 = 140987 15 = 106631
16 = 110491 17 = 97560 18 = 93069 19 = 76259 20 = 65223 21 = 42262 22 = 41134 23 = 31784
24 = 25899 25 = 15980 26 = 13348 27 = 7825 28 = 6827 29 = 4216 30 = 3282 31 = 1428
32 = 1169 33 = 617 34 = 419 35 = 210 36 = 133 37 = 33 38 = 25 39 = 19
40 = 5 41 = 1 42 = 3 43 = 1 44 = 0 45 = 0 46 = 0 47 = 0
total count is 2092102
0 = 0.36% 1 = 0.79% 2 = 1.51% 3 = 2.49% 4 = 2.56% 5 = 2.24% 6 = 3.86% 7 = 5.67%
8 = 6.00% 9 = 5.91% 10 = 6.23% 11 = 5.74% 12 = 6.83% 13 = 7.43% 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 = 1.97% 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 12.690
total count is 2092102 average is 12.69 variance is 33.41 standard deviation is 5.78

**** special point with adjustment and long suit point
total count is 2092102
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 = 5.23% 9 = 5.74% 10 = 6.03% 11 = 5.95% 12 = 6.18% 13 = 6.67% 14 = 6.96% 15 = 6.35%
16 = 5.70% 17 = 5.10% 18 = 4.73% 19 = 4.24% 20 = 3.71% 21 = 2.98% 22 = 2.34% 23 = 1.89%
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 13.647
0 = 0.15% 1 = 0.60% 2 = 1.54% 3 = 3.18% 4 = 5.44% 5 = 7.82% 6 = 10.72% 7 = 14.73%
8 = 19.97% 9 = 25.71% 10 = 31.74% 11 = 37.69% 12 = 43.87% 13 = 50.55% 14 = 57.51% 15 = 63.86%
16 = 69.57% 17 = 74.67% 18 = 79.40% 19 = 83.64% 20 = 87.35% 21 = 90.33% 22 = 92.67% 23 = 94.55%
24 = 96.10% 25 = 97.26% 26 = 98.13% 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 = 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 2092102 average is 13.65 variance is 34.21 standard deviation is 5.85

**** Special point with adjustment and long suit and short suit point
total count is 2092102
0 = 0.05% 1 = 0.20% 2 = 0.50% 3 = 1.03% 4 = 1.51% 5 = 1.90% 6 = 2.33% 7 = 3.12%
8 = 3.93% 9 = 4.73% 10 = 5.23% 11 = 5.67% 12 = 5.89% 13 = 6.30% 14 = 6.44% 15 = 6.49%
16 = 6.14% 17 = 5.84% 18 = 5.31% 19 = 4.90% 20 = 4.31% 21 = 3.81% 22 = 3.14% 23 = 2.66%
24 = 2.12% 25 = 1.73% 26 = 1.30% 27 = 1.02% 28 = 0.74% 29 = 0.54% 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 14.941
0 = 0.05% 1 = 0.25% 2 = 0.76% 3 = 1.79% 4 = 3.30% 5 = 5.20% 6 = 7.53% 7 = 10.65%
8 = 14.58% 9 = 19.31% 10 = 24.54% 11 = 30.22% 12 = 36.11% 13 = 42.40% 14 = 48.84% 15 = 55.34%
16 = 61.48% 17 = 67.32% 18 = 72.63% 19 = 77.52% 20 = 81.83% 21 = 85.64% 22 = 88.78% 23 = 91.45%
24 = 93.57% 25 = 95.30% 26 = 96.59% 27 = 97.61% 28 = 98.35% 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 2092102 average is 14.94 variance is 36.32 standard deviation is 6.03

**** Losing trick count
0 = 0 1 = 0 2 = 180 3 = 4379 4 = 33444 5 = 131316 6 = 315162 7 = 495096
8 = 523481 9 = 371703 10 = 169006 11 = 43514 12 = 4821
losing trick count is 2092102
0 = 0.00% 1 = 0.00% 2 = 0.01% 3 = 0.21% 4 = 1.60% 5 = 6.28% 6 = 15.06% 7 = 23.67%
8 = 25.02% 9 = 17.77% 10 = 8.08% 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 = 1.82% 5 = 8.09% 6 = 23.16% 7 = 46.82%
8 = 71.84% 9 = 89.61% 10 = 97.69% 11 = 99.77% 12 = 100.00%
total count is 2092102 average is 7.61 variance is 2.29 standard deviation is 1.51

**** Control count (A = 2, K = 1)
0 = 170858 1 = 278510 2 = 428696 3 = 437453 4 = 348882 5 = 234481 6 = 119221 7 = 51353
8 = 17236 9 = 4457 10 = 876 11 = 73 12 = 6
control count is 2092102
0 = 8.17% 1 = 13.31% 2 = 20.49% 3 = 20.91% 4 = 16.68% 5 = 11.21% 6 = 5.70% 7 = 2.45%
8 = 0.82% 9 = 0.21% 10 = 0.04% 11 = 0.00% 12 = 0.00%
average control count is 3.001
0 = 8.17% 1 = 21.48% 2 = 41.97% 3 = 62.88% 4 = 79.56% 5 = 90.76% 6 = 96.46% 7 = 98.92%
8 = 99.74% 9 = 99.95% 10 = 100.00% 11 = 100.00% 12 = 100.00%

**** total distribution
4432 = 450569 5332 = 324850 5431 = 270967 5422 = 220870 4333 = 221279 6322 = 117859
6421 = 98258 6331 = 72363 5521 = 66392 4441 = 62301 7321 = 39146 6430 = 27698
5440 = 26095 5530 = 18819 6511 = 14623 6520 = 13726 7222 = 10760 7411 = 7946
7420 = 7626 7330 = 5606 8221 = 3949 8311 = 2509 8320 = 2260 7510 = 2229
6610 = 1484 8410 = 920 9211 = 352 9310 = 220 9220 = 165 7600 = 130
8500 = 80 10210 = 24 9400 = 15 10111 = 7 10300 = 4 11110 = 0
11200 = 1 12100 = 0 13000 = 0
total count is 2092102
4432 = 21.54% 5332 = 15.53% 5431 = 12.95% 5422 = 10.56% 4333 = 10.58% 6322 = 5.63%
6421 = 4.70% 6331 = 3.46% 5521 = 3.17% 4441 = 2.98% 7321 = 1.87% 6430 = 1.32%
5440 = 1.25% 5530 = 0.90% 6511 = 0.70% 6520 = 0.66% 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%