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1C  (no 5 card Major) 12 or more HCP

total time is    3565 seconds 
First hand parameters
inclusive conditions
HCP   12 to HCP 22 ... 5. 1C with NT hand (no 5 card Major) 
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
exclusive conditions
HCP   15 to HCP 17 ... 1.NT no 5+ Major AND none
HCP   20 to HCP 22 ... 1.NT no 5+ Major AND none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
no specific hand conditions , reject all remaining hands
Second hand parameters
inclusive conditions
HCP    0 to HCP 37 ... 2. use HCP only 
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
exclusive conditions
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
no specific hand conditions , take all remaining hands
Third hand parameters
inclusive conditions
HCP    0 to HCP 37 ... 2. use HCP only 
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
exclusive conditions
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
no specific hand conditions , take all remaining hands
Fourth hand parameters
inclusive conditions
HCP    0 to HCP 37 ... 2. use HCP only 
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
exclusive conditions
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
no specific hand conditions , take all remaining hands
number of 1st hand found is 90987352        number of failure to find 1st hand is 13648
average number of try to get 1st hand is   11.882    percent for 1st hands is   8.416%
number of 2nd hand found is 90987352   number of failure to find 2nd hand is 90987352
average number of try to get 2nd hand is    1.000            percent for 2nd hands is 100.000%
number of 3rd hand found is 90987352    number of failure to find 3rdd hand is 0
average number of try to get 3rd hand is    1.000        percent for 3rd hands is 100.000%
average number of try to get all three hand is  11.882
percent for all three hands is                   8.416%

1st hand HCP   statistic
total sum is 1081072240 
HCP  0 =  3932948   0.36% HCP  1 =  8519540   0.79% HCP  2 = 14650523   1.36% HCP  3 = 26615158   2.46% 
HCP  4 = 41549263   3.84% HCP  5 = 56045704   5.18% HCP  6 = 70836663   6.55% HCP  7 = 86779681   8.03% 
HCP  8 = 96126926   8.89% HCP  9 = 101142117   9.36% HCP 10 = 101686490   9.41% HCP 11 = 96708678   8.95% 
HCP 12 = 86784927   8.03% HCP 13 = 74764499   6.92% HCP 14 = 61548015   5.69% HCP 15 = 47828698   4.42% 
HCP 16 = 35812898   3.31% HCP 17 = 25549776   2.36% HCP 18 = 17356239   1.61% HCP 19 = 11202099   1.04% 
HCP 20 =  6962304   0.64% HCP 21 =  4085868   0.38% HCP 22 =  2271535   0.21% HCP 23 =  1210841   0.11% 
HCP 24 =   605681   0.06% HCP 25 =   285212   0.03% HCP 26 =   126345   0.01% HCP 27 =    53188   0.00% 
HCP 28 =    20069   0.00% HCP 29 =     7118   0.00% HCP 30 =     2370   0.00% HCP 31 =      616   0.00% 
HCP 32 =      195   0.00% HCP 33 =       45   0.00% HCP 34 =       11   0.00% HCP 35 =        0   0.00% 
2nd hand HCP   statistic
total sum is  90987352 
HCP  0 =   544721   0.60% HCP  1 =  1142406   1.26% HCP  2 =  1901343   2.09% HCP  3 =  3331220   3.66% 
HCP  4 =  5008439   5.50% HCP  5 =  6467614   7.11% HCP  6 =  7778770   8.55% HCP  7 =  9035052   9.93% 
HCP  8 =  9428090  10.36% HCP  9 =  9274705  10.19% HCP 10 =  8662506   9.52% HCP 11 =  7594289   8.35% 
HCP 12 =  6231385   6.85% HCP 13 =  4855988   5.34% HCP 14 =  3578353   3.93% HCP 15 =  2456631   2.70% 
HCP 16 =  1604180   1.76% HCP 17 =   979056   1.08% HCP 18 =   559024   0.61% HCP 19 =   297955   0.33% 
HCP 20 =   146873   0.16% HCP 21 =    66817   0.07% HCP 22 =    27196   0.03% HCP 23 =    10197   0.01% 
HCP 24 =     3341   0.00% HCP 25 =      910   0.00% HCP 26 =      251   0.00% HCP 27 =       40   0.00% 
HCP 28 =        0   0.00% HCP 29 =        0   0.00% HCP 30 =        0   0.00% HCP 31 =        0   0.00% 
HCP 32 =        0   0.00% HCP 33 =        0   0.00% HCP 34 =        0   0.00% HCP 35 =        0   0.00% 
3rd hand HCP   statistic
total sum is  90987352 
HCP  0 =   545188   0.60% HCP  1 =  1141911   1.26% HCP  2 =  1900142   2.09% HCP  3 =  3332259   3.66% 
HCP  4 =  5010605   5.51% HCP  5 =  6462546   7.10% HCP  6 =  7780203   8.55% HCP  7 =  9032744   9.93% 
HCP  8 =  9427190  10.36% HCP  9 =  9275315  10.19% HCP 10 =  8664216   9.52% HCP 11 =  7599752   8.35% 
HCP 12 =  6232497   6.85% HCP 13 =  4855681   5.34% HCP 14 =  3576801   3.93% HCP 15 =  2457361   2.70% 
HCP 16 =  1602800   1.76% HCP 17 =   977797   1.07% HCP 18 =   559491   0.61% HCP 19 =   295962   0.33% 
HCP 20 =   147497   0.16% HCP 21 =    66779   0.07% HCP 22 =    27626   0.03% HCP 23 =    10397   0.01% 
HCP 24 =     3396   0.00% HCP 25 =      952   0.00% HCP 26 =      213   0.00% HCP 27 =       29   0.00% 
HCP 28 =        2   0.00% HCP 29 =        0   0.00% HCP 30 =        0   0.00% HCP 31 =        0   0.00% 
HCP 32 =        0   0.00% HCP 33 =        0   0.00% HCP 34 =        0   0.00% HCP 35 =        0   0.00% 
 Combine North and South hand statistic 

** spade high card point    average HCP is  5.449 
  0 =   3.47%   3.47%    1 =   4.20%   7.66%    2 =   4.94%  12.60%    3 =  11.01%  23.61%    4 =  12.58%  36.19%  
  5 =  13.62%  49.81%    6 =  13.74%  63.56%    7 =  14.96%  78.51%    8 =   7.36%  85.88%    9 =   7.89%  93.76%  
 10 =   6.24% 100.00%  

** heart high card point    average HCP is  5.447 
  0 =   3.47%   3.47%    1 =   4.20%   7.67%    2 =   4.94%  12.62%    3 =  11.02%  23.64%    4 =  12.59%  36.23%  
  5 =  13.62%  49.85%    6 =  13.74%  63.59%    7 =  14.95%  78.54%    8 =   7.36%  85.90%    9 =   7.88%  93.78%  
 10 =   6.22% 100.00%  

** diamond high card point    average HCP is  5.189 
  0 =   4.35%   4.35%    1 =   4.92%   9.27%    2 =   5.67%  14.93%    3 =  11.97%  26.90%    4 =  13.41%  40.31%  
  5 =  13.71%  54.02%    6 =  13.15%  67.17%    7 =  14.16%  81.33%    8 =   6.59%  87.92%    9 =   7.02%  94.94%  
 10 =   5.06% 100.00%  

** club high card point    average HCP is  6.453 
  0 =   1.03%   1.03%    1 =   2.00%   3.04%    2 =   2.56%   5.60%    3 =   7.25%  12.85%    4 =   8.90%  21.75%  
  5 =  11.99%  33.74%    6 =  14.81%  48.55%    7 =  16.89%  65.44%    8 =  10.25%  75.70%    9 =  11.31%  87.00%  
 10 =  13.00% 100.00%  

** space suit length    average length is  6.302 
  0 =   0.00%   0.00%    1 =   0.04%   0.04%    2 =   0.40%   0.44%    3 =   2.23%   2.67%    4 =   7.88%  10.55%  
  5 =  18.09%  28.64%    6 =  26.53%  55.17%    7 =  24.54%  79.70%    8 =  14.15%  93.85%    9 =   4.99%  98.84%  
 10 =   1.04%  99.87%   11 =   0.12%  99.99%   12 =   0.01% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  6.300 
  0 =   0.00%   0.00%    1 =   0.04%   0.04%    2 =   0.40%   0.45%    3 =   2.23%   2.68%    4 =   7.90%  10.58%  
  5 =  18.11%  28.69%    6 =  26.53%  55.22%    7 =  24.51%  79.74%    8 =  14.13%  93.87%    9 =   4.97%  98.84%  
 10 =   1.03%  99.87%   11 =   0.12%  99.99%   12 =   0.01% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  6.039 
  0 =   0.00%   0.00%    1 =   0.05%   0.05%    2 =   0.51%   0.56%    3 =   3.01%   3.57%    4 =  10.34%  13.91%  
  5 =  21.42%  35.33%    6 =  27.45%  62.78%    7 =  22.02%  84.80%    8 =  11.05%  95.85%    9 =   3.44%  99.29%  
 10 =   0.64%  99.93%   11 =   0.07% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  7.358 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.00%   0.00%    3 =   0.16%   0.16%    4 =   1.68%   1.84%  
  5 =   7.42%   9.26%    6 =  18.13%  27.40%    7 =  26.84%  54.24%    8 =  24.85%  79.09%    9 =  14.47%  93.56%  
 10 =   5.21%  98.77%   11 =   1.10%  99.87%   12 =   0.12%  99.99%   13 =   0.01% 100.00%  

****  total HCP 

 0 =        0  1 =        0  2 =        0  3 =        0  4 =        0  5 =        0  6 =        0  7 =        0 
 8 =        0  9 =        0 10 =        0 11 =        0 12 =   113932 13 =   365169 14 =   801180 15 =  1494646 
16 =  2508556 17 =  3765403 18 =  5131368 19 =  6542346 20 =  7747330 21 =  8587992 22 =  8971378 23 =  8855991 
24 =  8234002 25 =  7249765 26 =  6045027 27 =  4750909 28 =  3531994 29 =  2482329 30 =  1636222 31 =  1011508 
32 =   583012 33 =   313622 34 =   154032 35 =    68709 36 =    27818 37 =     9526 38 =     2858 39 =      669 
40 =       59 
 total count is 90987344 

 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 =   0.00%  9 =   0.00% 10 =   0.00% 11 =   0.00% 12 =   0.13% 13 =   0.40% 14 =   0.88% 15 =   1.64% 
16 =   2.76% 17 =   4.14% 18 =   5.64% 19 =   7.19% 20 =   8.51% 21 =   9.44% 22 =   9.86% 23 =   9.73% 
24 =   9.05% 25 =   7.97% 26 =   6.64% 27 =   5.22% 28 =   3.88% 29 =   2.73% 30 =   1.80% 31 =   1.11% 
32 =   0.64% 33 =   0.34% 34 =   0.17% 35 =   0.08% 36 =   0.03% 37 =   0.01% 38 =   0.00% 39 =   0.00% 
40 =   0.00% 
 average HCP is   22.538 

 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 =   0.00%  9 =   0.00% 10 =   0.00% 11 =   0.00% 12 =   0.13% 13 =   0.53% 14 =   1.41% 15 =   3.05% 
16 =   5.81% 17 =   9.95% 18 =  15.58% 19 =  22.78% 20 =  31.29% 21 =  40.73% 22 =  50.59% 23 =  60.32% 
24 =  69.37% 25 =  77.34% 26 =  83.98% 27 =  89.20% 28 =  93.09% 29 =  95.81% 30 =  97.61% 31 =  98.72% 
32 =  99.37% 33 =  99.71% 34 =  99.88% 35 =  99.96% 36 =  99.99% 37 = 100.00% 38 = 100.00% 39 = 100.00% 
40 = 100.00% 

**** total trick distribution 

  77 = 10488600   78 =  5084428   79 =        0  710 =        0  711 =        0  712 =        0  713 =        0 
  87 =  5136052   88 = 25402650   89 = 10178456  810 =  1612873  811 =   103061  812 =        0  813 =        0 
  97 =        0   98 = 10480132   99 =  9996203  910 =  3278466  911 =   577984  912 =    47629  913 =     1073 
 107 =        0  108 =  1739723  109 =  3431162 1010 =  1586023 1011 =   379759 1012 =    47488 1013 =     2078 
 117 =        0  118 =   116070  119 =   634807 1110 =   396107 1111 =   114480 1112 =    17437 1113 =      947 
 127 =        0  128 =        0  129 =    54500 1210 =    52106 1211 =    18313 1212 =     3207 1213 =      202 
 137 =        0  138 =        0  139 =     1353 1310 =     2593 1311 =     1134 1312 =      235 1313 =       21 
 total count is 90987336 

  77 =    11.53%  78 =     5.59%  79 =     0.00% 710 =     0.00% 711 =     0.00% 712 =     0.00% 713 =     0.00%
  87 =     5.64%  88 =    27.92%  89 =    11.19% 810 =     1.77% 811 =     0.11% 812 =     0.00% 813 =     0.00%
  97 =     0.00%  98 =    11.52%  99 =    10.99% 910 =     3.60% 911 =     0.64% 912 =     0.05% 913 =     0.00%
 107 =     0.00% 108 =     1.91% 109 =     3.77%1010 =     1.74%1011 =     0.42%1012 =     0.05%1013 =     0.00%
 117 =     0.00% 118 =     0.13% 119 =     0.70%1110 =     0.44%1111 =     0.13%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%


 North hand statistic 

** spade high card point    average HCP is  3.173 
  0 =  19.09%  19.09%    1 =   7.86%  26.96%    2 =  10.47%  37.42%    3 =  16.62%  54.05%    4 =  20.20%  74.25%  
  5 =   9.84%  84.09%    6 =   6.50%  90.59%    7 =   7.03%  97.63%    8 =   1.13%  98.76%    9 =   1.14%  99.90%  
 10 =   0.10% 100.00%  

** heart high card point    average HCP is  3.171 
  0 =  19.11%  19.11%    1 =   7.87%  26.97%    2 =  10.48%  37.46%    3 =  16.62%  54.08%    4 =  20.20%  74.27%  
  5 =   9.83%  84.10%    6 =   6.50%  90.60%    7 =   7.03%  97.63%    8 =   1.13%  98.76%    9 =   1.14%  99.90%  
 10 =   0.10% 100.00%  

** diamond high card point    average HCP is  2.784 
  0 =  23.90%  23.90%    1 =   8.65%  32.55%    2 =  11.30%  43.84%    3 =  16.82%  60.66%    4 =  20.08%  80.74%  
  5 =   7.83%  88.56%    6 =   4.88%  93.44%    7 =   5.23%  98.67%    8 =   0.64%  99.31%    9 =   0.65%  99.96%  
 10 =   0.04% 100.00%  

** club high card point    average HCP is  4.679 
  0 =   5.68%   5.68%    1 =   5.00%  10.68%    2 =   6.96%  17.64%    3 =  13.58%  31.22%    4 =  17.41%  48.63%  
  5 =  14.45%  63.08%    6 =  11.93%  75.00%    7 =  13.69%  88.69%    8 =   4.57%  93.26%    9 =   4.95%  98.21%  
 10 =   1.79% 100.00%  

** space suit length    average length is  2.952 
  0 =   1.27%   1.27%    1 =   8.52%   9.79%    2 =  19.11%  28.90%    3 =  35.92%  64.82%    4 =  35.18% 100.00%  
  5 =   0.00% 100.00%    6 =   0.00% 100.00%    7 =   0.00% 100.00%    8 =   0.00% 100.00%    9 =   0.00% 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  2.951 
  0 =   1.28%   1.28%    1 =   8.53%   9.81%    2 =  19.13%  28.94%    3 =  35.91%  64.86%    4 =  35.14% 100.00%  
  5 =   0.00% 100.00%    6 =   0.00% 100.00%    7 =   0.00% 100.00%    8 =   0.00% 100.00%    9 =   0.00% 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  2.560 
  0 =   1.15%   1.15%    1 =  11.37%  12.52%    2 =  28.89%  41.41%    3 =  48.07%  89.47%    4 =  10.03%  99.50%  
  5 =   0.50% 100.00%    6 =   0.00% 100.00%    7 =   0.00% 100.00%    8 =   0.00% 100.00%    9 =   0.00% 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  4.537 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.00%   0.00%    3 =  19.38%  19.38%    4 =  30.05%  49.44%  
  5 =  32.54%  81.98%    6 =  14.04%  96.02%    7 =   3.48%  99.50%    8 =   0.46%  99.96%    9 =   0.03% 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 =        0  1 =        0  2 =        0  3 =        0  4 =        0  5 =        0  6 =        0  7 =        0 
 8 =        0  9 =        0 10 =        0 11 =        0 12 = 28055113 13 = 24193254 14 = 19977367 15 =  3688489 
16 =  2733376 17 =  1921724 18 =  5762904 19 =  3752370 20 =   483272 21 =   273915 22 =   145568 23 =        0 
24 =        0 25 =        0 26 =        0 27 =        0 28 =        0 29 =        0 30 =        0 31 =        0 
32 =        0 33 =        0 34 =        0 35 =        0 36 =        0 37 =        0 
 total count is 90987352 

 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 =   0.00%  9 =   0.00% 10 =   0.00% 11 =   0.00% 12 =  30.83% 13 =  26.59% 14 =  21.96% 15 =   4.05% 
16 =   3.00% 17 =   2.11% 18 =   6.33% 19 =   4.12% 20 =   0.53% 21 =   0.30% 22 =   0.16% 23 =   0.00% 
24 =   0.00% 25 =   0.00% 26 =   0.00% 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 13.807 

 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 =   0.00%  9 =   0.00% 10 =   0.00% 11 =   0.00% 12 =  30.83% 13 =  57.42% 14 =  79.38% 15 =  83.43% 
16 =  86.44% 17 =  88.55% 18 =  94.88% 19 =  99.01% 20 =  99.54% 21 =  99.84% 22 = 100.00% 23 = 100.00% 
24 = 100.00% 25 = 100.00% 26 = 100.00% 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 distribution 

  4432 = 22462330   5332 =  9717195   5431 = 12090508   5422 =  6641307   4333 = 19706684   6322 =  3551671 
  6421 =  4365174   6331 =  3204102   5521 =        0   4441 =  2811512   7321 =  1728540   6430 =  1234840 
  5440 =  1161845   5530 =        0   6511 =   217453   6520 =   200667   7222 =   470635   7411 =   360360 
  7420 =   332169   7330 =   243896   8221 =   172869   8311 =   106125   8320 =    97909   7510 =    33196 
  6610 =        0   8410 =    40541   9211 =    15473   9310 =     8645   9220 =     6905   7600 =     1686 
  8500 =      986  10210 =      857   9400 =      822  10111 =      309  10300 =      124  11110 =        0 
 11200 =       17  12100 =        0 
 total count is 90987360 

  4432 =    24.69%  5332 =    10.68%  5431 =    13.29%  5422 =     7.30%  4333 =    21.66%  6322 =     3.90%
  6421 =     4.80%  6331 =     3.52%  5521 =     0.00%  4441 =     3.09%  7321 =     1.90%  6430 =     1.36%
  5440 =     1.28%  5530 =     0.00%  6511 =     0.24%  6520 =     0.22%  7222 =     0.52%  7411 =     0.40%
  7420 =     0.37%  7330 =     0.27%  8221 =     0.19%  8311 =     0.12%  8320 =     0.11%  7510 =     0.04%
  6610 =     0.00%  8410 =     0.04%  9211 =     0.02%  9310 =     0.01%  9220 =     0.01%  7600 =     0.00%
  8500 =     0.00% 10210 =     0.00%  9400 =     0.00% 10111 =     0.00% 10300 =     0.00% 11110 =     0.00%
 11200 =     0.00% 12100 =     0.00%

 South hand statistic 

** spade high card point    average HCP is  2.277 
  0 =  32.63%  32.63%    1 =  12.22%  44.85%    2 =  11.49%  56.34%    3 =  14.55%  70.89%    4 =  13.52%  84.41%  
  5 =   6.53%  90.94%    6 =   3.92%  94.86%    7 =   3.54%  98.40%    8 =   0.76%  99.16%    9 =   0.68%  99.83%  
 10 =   0.17% 100.00%  

** heart high card point    average HCP is  2.276 
  0 =  32.65%  32.65%    1 =  12.22%  44.87%    2 =  11.49%  56.36%    3 =  14.55%  70.91%    4 =  13.51%  84.42%  
  5 =   6.52%  90.95%    6 =   3.92%  94.86%    7 =   3.53%  98.40%    8 =   0.76%  99.16%    9 =   0.68%  99.83%  
 10 =   0.17% 100.00%  

** diamond high card point    average HCP is  2.405 
  0 =  30.49%  30.49%    1 =  12.10%  42.59%    2 =  11.45%  54.04%    3 =  14.81%  68.85%    4 =  13.91%  82.77%  
  5 =   7.03%  89.80%    6 =   4.32%  94.12%    7 =   3.97%  98.09%    8 =   0.89%  98.98%    9 =   0.81%  99.79%  
 10 =   0.21% 100.00%  

** club high card point    average HCP is  1.774 
  0 =  42.18%  42.18%    1 =  12.34%  54.52%    2 =  11.26%  65.79%    3 =  13.01%  78.80%    4 =  11.49%  90.29%  
  5 =   4.54%  94.83%    6 =   2.44%  97.27%    7 =   2.05%  99.32%    8 =   0.35%  99.67%    9 =   0.28%  99.95%  
 10 =   0.05% 100.00%  

** space suit length    average length is  3.350 
  0 =   0.93%   0.93%    1 =   6.69%   7.61%    2 =  19.16%  26.78%    3 =  28.83%  55.61%    4 =  25.26%  80.87%  
  5 =  13.53%  94.40%    6 =   4.52%  98.92%    7 =   0.95%  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  3.349 
  0 =   0.93%   0.93%    1 =   6.69%   7.62%    2 =  19.18%  26.81%    3 =  28.84%  55.65%    4 =  25.25%  80.90%  
  5 =  13.51%  94.41%    6 =   4.51%  98.92%    7 =   0.95%  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  3.480 
  0 =   0.73%   0.73%    1 =   5.60%   6.33%    2 =  17.28%  23.61%    3 =  28.00%  51.61%    4 =  26.43%  78.05%  
  5 =  15.19%  93.23%    6 =   5.40%  98.64%    7 =   1.19%  99.83%    8 =   0.16%  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  2.821 
  0 =   2.34%   2.34%    1 =  12.46%  14.80%    2 =  26.59%  41.39%    3 =  29.80%  71.18%    4 =  19.31%  90.49%  
  5 =   7.50%  97.99%    6 =   1.75%  99.74%    7 =   0.24%  99.98%    8 =   0.02% 100.00%    9 =   0.00% 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 =   544721  1 =  1142406  2 =  1901343  3 =  3331220  4 =  5008439  5 =  6467614  6 =  7778770  7 =  9035052 
 8 =  9428090  9 =  9274705 10 =  8662506 11 =  7594289 12 =  6231385 13 =  4855988 14 =  3578353 15 =  2456631 
16 =  1604180 17 =   979056 18 =   559024 19 =   297955 20 =   146873 21 =    66817 22 =    27196 23 =    10197 
24 =     3341 25 =      910 26 =      251 27 =       40 28 =        0 29 =        0 30 =        0 31 =        0 
32 =        0 33 =        0 34 =        0 35 =        0 36 =        0 37 =        0 
 total count is 90987352 

 0 =   0.60%  1 =   1.26%  2 =   2.09%  3 =   3.66%  4 =   5.50%  5 =   7.11%  6 =   8.55%  7 =   9.93% 
 8 =  10.36%  9 =  10.19% 10 =   9.52% 11 =   8.35% 12 =   6.85% 13 =   5.34% 14 =   3.93% 15 =   2.70% 
16 =   1.76% 17 =   1.08% 18 =   0.61% 19 =   0.33% 20 =   0.16% 21 =   0.07% 22 =   0.03% 23 =   0.01% 
24 =   0.00% 25 =   0.00% 26 =   0.00% 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  8.732 

 0 =   0.60%  1 =   1.85%  2 =   3.94%  3 =   7.61%  4 =  13.11%  5 =  20.22%  6 =  28.77%  7 =  38.70% 
 8 =  49.06%  9 =  59.25% 10 =  68.77% 11 =  77.12% 12 =  83.97% 13 =  89.31% 14 =  93.24% 15 =  95.94% 
16 =  97.70% 17 =  98.78% 18 =  99.39% 19 =  99.72% 20 =  99.88% 21 =  99.95% 22 =  99.98% 23 = 100.00% 
24 = 100.00% 25 = 100.00% 26 = 100.00% 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 distribution 

  4432 = 19961974   5332 = 14236351   5431 = 11730798   5422 =  9639855   4333 =  9830966   6322 =  5045574 
  6421 =  4154252   6331 =  3069712   5521 =  2832294   4441 =  2742832   7321 =  1618801   6430 =  1165489 
  5440 =  1113816   5530 =   793666   6511 =   610208   6520 =   561544   7222 =   443302   7411 =   333419 
  7420 =   306780   7330 =   226881   8221 =   157881   8311 =    97038   8320 =    89443   7510 =    90033 
  6610 =    60700   8410 =    36380   9211 =    14011   9310 =     7966   9220 =     6534   7600 =     4436 
  8500 =     2402  10210 =      821   9400 =      721  10111 =      327  10300 =      117  11110 =        0 
 11200 =       27  12100 =        1 
 total count is 90987344 

  4432 =    21.94%  5332 =    15.65%  5431 =    12.89%  5422 =    10.59%  4333 =    10.80%  6322 =     5.55%
  6421 =     4.57%  6331 =     3.37%  5521 =     3.11%  4441 =     3.01%  7321 =     1.78%  6430 =     1.28%
  5440 =     1.22%  5530 =     0.87%  6511 =     0.67%  6520 =     0.62%  7222 =     0.49%  7411 =     0.37%
  7420 =     0.34%  7330 =     0.25%  8221 =     0.17%  8311 =     0.11%  8320 =     0.10%  7510 =     0.10%
  6610 =     0.07%  8410 =     0.04%  9211 =     0.02%  9310 =     0.01%  9220 =     0.01%  7600 =     0.00%
  8500 =     0.00% 10210 =     0.00%  9400 =     0.00% 10111 =     0.00% 10300 =     0.00% 11110 =     0.00%
 11200 =     0.00% 12100 =     0.00%

 East hand statistic 

** spade high card point    average HCP is  2.276 
  0 =  32.65%  32.65%    1 =  12.22%  44.87%    2 =  11.50%  56.37%    3 =  14.54%  70.91%    4 =  13.51%  84.43%  
  5 =   6.52%  90.95%    6 =   3.92%  94.86%    7 =   3.53%  98.40%    8 =   0.76%  99.16%    9 =   0.68%  99.83%  
 10 =   0.17% 100.00%  

** heart high card point    average HCP is  2.277 
  0 =  32.64%  32.64%    1 =  12.22%  44.86%    2 =  11.50%  56.35%    3 =  14.55%  70.90%    4 =  13.52%  84.42%  
  5 =   6.53%  90.94%    6 =   3.91%  94.86%    7 =   3.54%  98.40%    8 =   0.76%  99.16%    9 =   0.68%  99.83%  
 10 =   0.17% 100.00%  

** diamond high card point    average HCP is  2.406 
  0 =  30.47%  30.47%    1 =  12.10%  42.57%    2 =  11.46%  54.02%    3 =  14.81%  68.84%    4 =  13.92%  82.76%  
  5 =   7.03%  89.79%    6 =   4.32%  94.11%    7 =   3.97%  98.09%    8 =   0.89%  98.98%    9 =   0.81%  99.79%  
 10 =   0.21% 100.00%  

** club high card point    average HCP is  1.774 
  0 =  42.19%  42.19%    1 =  12.34%  54.53%    2 =  11.27%  65.80%    3 =  13.00%  78.80%    4 =  11.49%  90.29%  
  5 =   4.54%  94.83%    6 =   2.44%  97.27%    7 =   2.05%  99.32%    8 =   0.35%  99.67%    9 =   0.28%  99.95%  
 10 =   0.05% 100.00%  

** space suit length    average length is  3.349 
  0 =   0.93%   0.93%    1 =   6.69%   7.62%    2 =  19.18%  26.80%    3 =  28.84%  55.65%    4 =  25.26%  80.91%  
  5 =  13.51%  94.42%    6 =   4.51%  98.92%    7 =   0.94%  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  3.350 
  0 =   0.93%   0.93%    1 =   6.69%   7.62%    2 =  19.17%  26.79%    3 =  28.83%  55.62%    4 =  25.26%  80.88%  
  5 =  13.52%  94.40%    6 =   4.52%  98.92%    7 =   0.95%  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  3.480 
  0 =   0.73%   0.73%    1 =   5.60%   6.33%    2 =  17.28%  23.61%    3 =  28.00%  51.61%    4 =  26.42%  78.03%  
  5 =  15.20%  93.23%    6 =   5.41%  98.64%    7 =   1.19%  99.83%    8 =   0.16%  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  2.821 
  0 =   2.34%   2.34%    1 =  12.45%  14.79%    2 =  26.59%  41.38%    3 =  29.80%  71.18%    4 =  19.31%  90.50%  
  5 =   7.49%  97.99%    6 =   1.75%  99.74%    7 =   0.24%  99.98%    8 =   0.02% 100.00%    9 =   0.00% 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 =   545188  1 =  1141911  2 =  1900142  3 =  3332259  4 =  5010605  5 =  6462546  6 =  7780203  7 =  9032744 
 8 =  9427190  9 =  9275315 10 =  8664216 11 =  7599752 12 =  6232497 13 =  4855681 14 =  3576801 15 =  2457361 
16 =  1602800 17 =   977797 18 =   559491 19 =   295962 20 =   147497 21 =    66779 22 =    27626 23 =    10397 
24 =     3396 25 =      952 26 =      213 27 =       29 28 =        2 29 =        0 30 =        0 31 =        0 
32 =        0 33 =        0 34 =        0 35 =        0 36 =        0 37 =        0 
 total count is 90987360 

 0 =   0.60%  1 =   1.26%  2 =   2.09%  3 =   3.66%  4 =   5.51%  5 =   7.10%  6 =   8.55%  7 =   9.93% 
 8 =  10.36%  9 =  10.19% 10 =   9.52% 11 =   8.35% 12 =   6.85% 13 =   5.34% 14 =   3.93% 15 =   2.70% 
16 =   1.76% 17 =   1.07% 18 =   0.61% 19 =   0.33% 20 =   0.16% 21 =   0.07% 22 =   0.03% 23 =   0.01% 
24 =   0.00% 25 =   0.00% 26 =   0.00% 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  8.732 

 0 =   0.60%  1 =   1.85%  2 =   3.94%  3 =   7.60%  4 =  13.11%  5 =  20.21%  6 =  28.77%  7 =  38.69% 
 8 =  49.05%  9 =  59.25% 10 =  68.77% 11 =  77.12% 12 =  83.97% 13 =  89.31% 14 =  93.24% 15 =  95.94% 
16 =  97.70% 17 =  98.78% 18 =  99.39% 19 =  99.72% 20 =  99.88% 21 =  99.95% 22 =  99.98% 23 =  99.99% 
24 = 100.00% 25 = 100.00% 26 = 100.00% 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 distribution 

  4432 = 19966563   5332 = 14245950   5431 = 11727423   5422 =  9641428   4333 =  9827421   6322 =  5044741 
  6421 =  4153018   6331 =  3069390   5521 =  2831327   4441 =  2740917   7321 =  1615762   6430 =  1164856 
  5440 =  1113240   5530 =   793836   6511 =   609652   6520 =   562429   7222 =   442147   7411 =   333995 
  7420 =   307515   7330 =   226019   8221 =   159099   8311 =    96628   8320 =    89612   7510 =    90297 
  6610 =    60194   8410 =    36552   9211 =    14088   9310 =     7953   9220 =     6367   7600 =     4401 
  8500 =     2570  10210 =      777   9400 =      737  10111 =      295  10300 =      128  11110 =        0 
 11200 =       25  12100 =        0 
 total count is 90987336 

  4432 =    21.94%  5332 =    15.66%  5431 =    12.89%  5422 =    10.60%  4333 =    10.80%  6322 =     5.54%
  6421 =     4.56%  6331 =     3.37%  5521 =     3.11%  4441 =     3.01%  7321 =     1.78%  6430 =     1.28%
  5440 =     1.22%  5530 =     0.87%  6511 =     0.67%  6520 =     0.62%  7222 =     0.49%  7411 =     0.37%
  7420 =     0.34%  7330 =     0.25%  8221 =     0.17%  8311 =     0.11%  8320 =     0.10%  7510 =     0.10%
  6610 =     0.07%  8410 =     0.04%  9211 =     0.02%  9310 =     0.01%  9220 =     0.01%  7600 =     0.00%
  8500 =     0.00% 10210 =     0.00%  9400 =     0.00% 10111 =     0.00% 10300 =     0.00% 11110 =     0.00%
 11200 =     0.00% 12100 =     0.00%

 West hand statistic 

** spade high card point    average HCP is  2.275 
  0 =  32.67%  32.67%    1 =  12.22%  44.89%    2 =  11.49%  56.38%    3 =  14.54%  70.92%    4 =  13.51%  84.43%  
  5 =   6.52%  90.96%    6 =   3.91%  94.87%    7 =   3.53%  98.40%    8 =   0.76%  99.16%    9 =   0.68%  99.84%  
 10 =   0.16% 100.00%  

** heart high card point    average HCP is  2.276 
  0 =  32.64%  32.64%    1 =  12.22%  44.86%    2 =  11.50%  56.36%    3 =  14.54%  70.90%    4 =  13.51%  84.42%  
  5 =   6.53%  90.94%    6 =   3.91%  94.86%    7 =   3.54%  98.40%    8 =   0.76%  99.16%    9 =   0.68%  99.83%  
 10 =   0.17% 100.00%  

** diamond high card point    average HCP is  2.406 
  0 =  30.48%  30.48%    1 =  12.09%  42.57%    2 =  11.46%  54.03%    3 =  14.80%  68.84%    4 =  13.92%  82.76%  
  5 =   7.03%  89.79%    6 =   4.32%  94.11%    7 =   3.97%  98.09%    8 =   0.89%  98.98%    9 =   0.81%  99.79%  
 10 =   0.21% 100.00%  

** club high card point    average HCP is  1.773 
  0 =  42.19%  42.19%    1 =  12.34%  54.53%    2 =  11.26%  65.79%    3 =  13.01%  78.81%    4 =  11.49%  90.29%  
  5 =   4.54%  94.83%    6 =   2.44%  97.27%    7 =   2.05%  99.32%    8 =   0.35%  99.67%    9 =   0.28%  99.95%  
 10 =   0.05% 100.00%  

** space suit length    average length is  3.349 
  0 =   0.93%   0.93%    1 =   6.70%   7.63%    2 =  19.18%  26.81%    3 =  28.85%  55.66%    4 =  25.25%  80.91%  
  5 =  13.50%  94.41%    6 =   4.51%  98.92%    7 =   0.94%  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  3.350 
  0 =   0.93%   0.93%    1 =   6.69%   7.62%    2 =  19.17%  26.79%    3 =  28.83%  55.62%    4 =  25.26%  80.87%  
  5 =  13.53%  94.40%    6 =   4.52%  98.92%    7 =   0.95%  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  3.480 
  0 =   0.72%   0.72%    1 =   5.60%   6.32%    2 =  17.28%  23.60%    3 =  28.00%  51.60%    4 =  26.43%  78.03%  
  5 =  15.19%  93.22%    6 =   5.41%  98.64%    7 =   1.19%  99.83%    8 =   0.16%  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  2.821 
  0 =   2.34%   2.34%    1 =  12.46%  14.80%    2 =  26.59%  41.39%    3 =  29.80%  71.19%    4 =  19.30%  90.49%  
  5 =   7.50%  97.99%    6 =   1.75%  99.74%    7 =   0.24%  99.98%    8 =   0.02% 100.00%    9 =   0.00% 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 =   546734  1 =  1142284  2 =  1901461  3 =  3332354  4 =  5013801  5 =  6467656  6 =  7781071  7 =  9036174 
 8 =  9428129  9 =  9277987 10 =  8660256 11 =  7592042 12 =  6230888 13 =  4853942 14 =  3573697 15 =  2452286 
16 =  1603383 17 =   980404 18 =   558685 19 =   296792 20 =   147933 21 =    66950 22 =    27534 23 =    10475 
24 =     3210 25 =      946 26 =      242 27 =       33 28 =        3 29 =        0 30 =        0 31 =        0 
32 =        0 33 =        0 34 =        0 35 =        0 36 =        0 37 =        0 
 total count is 90987360 

 0 =   0.60%  1 =   1.26%  2 =   2.09%  3 =   3.66%  4 =   5.51%  5 =   7.11%  6 =   8.55%  7 =   9.93% 
 8 =  10.36%  9 =  10.20% 10 =   9.52% 11 =   8.34% 12 =   6.85% 13 =   5.33% 14 =   3.93% 15 =   2.70% 
16 =   1.76% 17 =   1.08% 18 =   0.61% 19 =   0.33% 20 =   0.16% 21 =   0.07% 22 =   0.03% 23 =   0.01% 
24 =   0.00% 25 =   0.00% 26 =   0.00% 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  8.730 

 0 =   0.60%  1 =   1.86%  2 =   3.95%  3 =   7.61%  4 =  13.12%  5 =  20.23%  6 =  28.78%  7 =  38.71% 
 8 =  49.07%  9 =  59.27% 10 =  68.79% 11 =  77.13% 12 =  83.98% 13 =  89.31% 14 =  93.24% 15 =  95.94% 
16 =  97.70% 17 =  98.78% 18 =  99.39% 19 =  99.72% 20 =  99.88% 21 =  99.95% 22 =  99.98% 23 = 100.00% 
24 = 100.00% 25 = 100.00% 26 = 100.00% 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 distribution 

  4432 = 19955778   5332 = 14242810   5431 = 11734301   5422 =  9638957   4333 =  9829673   6322 =  5046039 
  6421 =  4154847   6331 =  3069320   5521 =  2830093   4441 =  2741926   7321 =  1618297   6430 =  1167501 
  5440 =  1111535   5530 =   794664   6511 =   609642   6520 =   561166   7222 =   443943   7411 =   331983 
  7420 =   307659   7330 =   227086   8221 =   158578   8311 =    97055   8320 =    89329   7510 =    90534 
  6610 =    60697   8410 =    36607   9211 =    14159   9310 =     7853   9220 =     6438   7600 =     4400 
  8500 =     2458  10210 =      811   9400 =      757  10111 =      310  10300 =      124  11110 =        0 
 11200 =       22  12100 =        0 
 total count is 90987368 

  4432 =    21.93%  5332 =    15.65%  5431 =    12.90%  5422 =    10.59%  4333 =    10.80%  6322 =     5.55%
  6421 =     4.57%  6331 =     3.37%  5521 =     3.11%  4441 =     3.01%  7321 =     1.78%  6430 =     1.28%
  5440 =     1.22%  5530 =     0.87%  6511 =     0.67%  6520 =     0.62%  7222 =     0.49%  7411 =     0.36%
  7420 =     0.34%  7330 =     0.25%  8221 =     0.17%  8311 =     0.11%  8320 =     0.10%  7510 =     0.10%
  6610 =     0.07%  8410 =     0.04%  9211 =     0.02%  9310 =     0.01%  9220 =     0.01%  7600 =     0.00%
  8500 =     0.00% 10210 =     0.00%  9400 =     0.00% 10111 =     0.00% 10300 =     0.00% 11110 =     0.00%
 11200 =     0.00% 12100 =     0.00%