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standard NT with 5 card Major and no 7+ minor 15 to 17 HCP

total time is    96 seconds 
First hand parameters
inclusive conditions
HCP   15 to HCP 17 ... 14. NT with 5 card major  AND none
HCP    0 to HCP 37 ... none
HCP    0 to HCP 37 ... 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 , 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 , reject 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 , reject 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 , reject all remaining hands
number of 1st hand found is 2075589        number of failure to find 1st hand is 3411
average number of try to get 1st hand is   16.114    percent for 1st hands is   6.206%
number of 2nd hand found is 2075589   number of failure to find 2nd hand is 2075589
average number of try to get 2nd hand is    1.000            percent for 2nd hands is 100.000%
number of 3rd hand found is 2075589    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  16.114
percent for all three hands is                   6.206%

1st hand HCP   statistic
total sum is  33446726 
HCP  0 =   121618   0.36% HCP  1 =   264018   0.79% HCP  2 =   453905   1.36% HCP  3 =   824483   2.47% 
HCP  4 =  1286033   3.85% HCP  5 =  1735845   5.19% HCP  6 =  2190754   6.55% HCP  7 =  2683227   8.02% 
HCP  8 =  2974759   8.89% HCP  9 =  3131910   9.36% HCP 10 =  3147165   9.41% HCP 11 =  2991224   8.94% 
HCP 12 =  2686047   8.03% HCP 13 =  2312363   6.91% HCP 14 =  1902950   5.69% HCP 15 =  1476688   4.42% 
HCP 16 =  1107226   3.31% HCP 17 =   789563   2.36% HCP 18 =   537934   1.61% HCP 19 =   345910   1.03% 
HCP 20 =   214998   0.64% HCP 21 =   126446   0.38% HCP 22 =    70045   0.21% HCP 23 =    37571   0.11% 
HCP 24 =    18677   0.06% HCP 25 =     8766   0.03% HCP 26 =     3946   0.01% HCP 27 =     1702   0.01% 
HCP 28 =      629   0.00% HCP 29 =      226   0.00% HCP 30 =       74   0.00% HCP 31 =       19   0.00% 
HCP 32 =        4   0.00% HCP 33 =        1   0.00% HCP 34 =        0   0.00% HCP 35 =        0   0.00% 
2nd hand HCP   statistic
total sum is   2075589 
HCP  0 =    16688   0.80% HCP  1 =    34159   1.65% HCP  2 =    55743   2.69% HCP  3 =    93823   4.52% 
HCP  4 =   137974   6.65% HCP  5 =   173119   8.34% HCP  6 =   201341   9.70% HCP  7 =   226163  10.90% 
HCP  8 =   226023  10.89% HCP  9 =   213098  10.27% HCP 10 =   188794   9.10% HCP 11 =   156801   7.55% 
HCP 12 =   120910   5.83% HCP 13 =    88137   4.25% HCP 14 =    59972   2.89% HCP 15 =    37896   1.83% 
HCP 16 =    22283   1.07% HCP 17 =    12193   0.59% HCP 18 =     5987   0.29% HCP 19 =     2818   0.14% 
HCP 20 =     1111   0.05% HCP 21 =      390   0.02% HCP 22 =      133   0.01% HCP 23 =       29   0.00% 
HCP 24 =        4   0.00% HCP 25 =        0   0.00% HCP 26 =        0   0.00% HCP 27 =        0   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   2075589 
HCP  0 =    16479   0.79% HCP  1 =    33879   1.63% HCP  2 =    55118   2.66% HCP  3 =    94277   4.54% 
HCP  4 =   138254   6.66% HCP  5 =   173179   8.34% HCP  6 =   201723   9.72% HCP  7 =   224854  10.83% 
HCP  8 =   226667  10.92% HCP  9 =   212101  10.22% HCP 10 =   190193   9.16% HCP 11 =   156347   7.53% 
HCP 12 =   121342   5.85% HCP 13 =    88010   4.24% HCP 14 =    60062   2.89% HCP 15 =    38063   1.83% 
HCP 16 =    22238   1.07% HCP 17 =    12134   0.58% HCP 18 =     6062   0.29% HCP 19 =     2863   0.14% 
HCP 20 =     1195   0.06% HCP 21 =      381   0.02% HCP 22 =      131   0.01% HCP 23 =       26   0.00% 
HCP 24 =       10   0.00% HCP 25 =        1   0.00% HCP 26 =        0   0.00% HCP 27 =        0   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% 
 Combine North and South hand statistic 

** spade high card point    average HCP is  5.942 
  0 =   1.89%   1.89%    1 =   2.77%   4.66%    2 =   3.60%   8.26%    3 =   8.95%  17.21%    4 =  11.44%  28.65%  
  5 =  13.30%  41.96%    6 =  14.40%  56.35%    7 =  16.77%  73.13%    8 =   8.78%  81.91%    9 =   9.82%  91.73%  
 10 =   8.27% 100.00%  

** heart high card point    average HCP is  5.939 
  0 =   1.90%   1.90%    1 =   2.77%   4.67%    2 =   3.64%   8.31%    3 =   8.99%  17.30%    4 =  11.43%  28.73%  
  5 =  13.31%  42.04%    6 =  14.35%  56.39%    7 =  16.73%  73.12%    8 =   8.79%  81.91%    9 =   9.83%  91.74%  
 10 =   8.26% 100.00%  

** diamond high card point    average HCP is  5.992 
  0 =   1.85%   1.85%    1 =   2.67%   4.52%    2 =   3.55%   8.07%    3 =   8.74%  16.81%    4 =  11.19%  28.01%  
  5 =  13.16%  41.17%    6 =  14.34%  55.50%    7 =  16.83%  72.33%    8 =   8.93%  81.26%    9 =  10.01%  91.27%  
 10 =   8.73% 100.00%  

** club high card point    average HCP is  5.992 
  0 =   1.83%   1.83%    1 =   2.70%   4.53%    2 =   3.53%   8.06%    3 =   8.77%  16.83%    4 =  11.19%  28.02%  
  5 =  13.15%  41.17%    6 =  14.33%  55.50%    7 =  16.82%  72.32%    8 =   8.94%  81.26%    9 =  10.00%  91.26%  
 10 =   8.74% 100.00%  

** space suit length    average length is  6.473 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.13%   0.13%    3 =   1.39%   1.52%    4 =   6.60%   8.11%  
  5 =  16.86%  24.98%    6 =  26.11%  51.08%    7 =  25.42%  76.50%    8 =  15.72%  92.23%    9 =   6.13%  98.35%  
 10 =   1.44%  99.80%   11 =   0.19%  99.99%   12 =   0.01% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  6.472 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.12%   0.12%    3 =   1.39%   1.52%    4 =   6.60%   8.12%  
  5 =  16.89%  25.01%    6 =  26.11%  51.13%    7 =  25.42%  76.54%    8 =  15.71%  92.26%    9 =   6.09%  98.35%  
 10 =   1.45%  99.80%   11 =   0.19%  99.99%   12 =   0.01% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  6.526 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.12%   0.12%    3 =   1.34%   1.46%    4 =   6.35%   7.81%  
  5 =  16.33%  24.14%    6 =  25.58%  49.72%    7 =  25.33%  75.04%    8 =  16.29%  91.33%    9 =   6.69%  98.02%  
 10 =   1.70%  99.72%   11 =   0.26%  99.98%   12 =   0.02% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  6.529 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.12%   0.12%    3 =   1.34%   1.46%    4 =   6.30%   7.76%  
  5 =  16.36%  24.12%    6 =  25.51%  49.63%    7 =  25.41%  75.03%    8 =  16.28%  91.32%    9 =   6.69%  98.00%  
 10 =   1.72%  99.72%   11 =   0.26%  99.98%   12 =   0.02% 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 =        0 13 =        0 14 =        0 15 =     6335 
16 =    18484 17 =    37947 18 =    65294 19 =   102254 20 =   141927 21 =   177939 22 =   207294 23 =   222893 
24 =   224303 25 =   208582 26 =   183659 27 =   149947 28 =   115121 29 =    83116 30 =    55722 31 =    34905 
32 =    20168 33 =    10776 34 =     5228 35 =     2341 36 =      937 37 =      297 38 =       99 39 =       31 
40 =        5 
 total count is 2075604 

 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 =   0.00% 13 =   0.00% 14 =   0.00% 15 =   0.31% 
16 =   0.89% 17 =   1.83% 18 =   3.15% 19 =   4.93% 20 =   6.84% 21 =   8.57% 22 =   9.99% 23 =  10.74% 
24 =  10.81% 25 =  10.05% 26 =   8.85% 27 =   7.22% 28 =   5.55% 29 =   4.00% 30 =   2.68% 31 =   1.68% 
32 =   0.97% 33 =   0.52% 34 =   0.25% 35 =   0.11% 36 =   0.05% 37 =   0.01% 38 =   0.00% 39 =   0.00% 
40 =   0.00% 
 average HCP is   23.866 

 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 =   0.00% 13 =   0.00% 14 =   0.00% 15 =   0.31% 
16 =   1.20% 17 =   3.02% 18 =   6.17% 19 =  11.10% 20 =  17.93% 21 =  26.51% 22 =  36.49% 23 =  47.23% 
24 =  58.04% 25 =  68.09% 26 =  76.94% 27 =  84.16% 28 =  89.71% 29 =  93.71% 30 =  96.40% 31 =  98.08% 
32 =  99.05% 33 =  99.57% 34 =  99.82% 35 =  99.93% 36 =  99.98% 37 =  99.99% 38 = 100.00% 39 = 100.00% 
40 = 100.00% 



 North hand statistic 

** spade high card point    average HCP is  3.914 
  0 =  10.46%  10.46%    1 =   5.90%  16.36%    2 =   8.93%  25.29%    3 =  16.00%  41.29%    4 =  22.01%  63.30%  
  5 =  12.06%  75.36%    6 =   9.06%  84.43%    7 =  10.75%  95.18%    8 =   2.14%  97.32%    9 =   2.33%  99.65%  
 10 =   0.35% 100.00%  

** heart high card point    average HCP is  3.909 
  0 =  10.55%  10.55%    1 =   5.91%  16.46%    2 =   8.95%  25.40%    3 =  16.01%  41.42%    4 =  21.85%  63.27%  
  5 =  12.12%  75.38%    6 =   9.07%  84.45%    7 =  10.73%  95.17%    8 =   2.15%  97.32%    9 =   2.32%  99.64%  
 10 =   0.36% 100.00%  

** diamond high card point    average HCP is  3.990 
  0 =  10.12%  10.12%    1 =   5.75%  15.87%    2 =   8.73%  24.59%    3 =  15.69%  40.28%    4 =  21.59%  61.88%  
  5 =  12.20%  74.07%    6 =   9.31%  83.38%    7 =  11.09%  94.47%    8 =   2.41%  96.88%    9 =   2.62%  99.50%  
 10 =   0.50% 100.00%  

** club high card point    average HCP is  3.988 
  0 =  10.10%  10.10%    1 =   5.80%  15.90%    2 =   8.71%  24.61%    3 =  15.68%  40.29%    4 =  21.65%  61.93%  
  5 =  12.16%  74.09%    6 =   9.28%  83.37%    7 =  11.11%  94.48%    8 =   2.40%  96.88%    9 =   2.61%  99.50%  
 10 =   0.50% 100.00%  

** space suit length    average length is  3.209 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  26.80%  26.80%    3 =  36.13%  62.93%    4 =  26.43%  89.36%  
  5 =  10.64% 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  3.209 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  26.82%  26.82%    3 =  36.13%  62.95%    4 =  26.40%  89.35%  
  5 =  10.65% 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  3.291 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  25.35%  25.35%    3 =  35.38%  60.73%    4 =  26.35%  87.08%  
  5 =  10.66%  97.74%    6 =   2.26% 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  3.291 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  25.32%  25.32%    3 =  35.39%  60.71%    4 =  26.39%  87.11%  
  5 =  10.63%  97.74%    6 =   2.26% 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%  

****  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 =        0 13 =        0 14 =        0 15 =   903387 
16 =   681592 17 =   490610 18 =        0 19 =        0 20 =        0 21 =        0 22 =        0 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 2075589 

 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 =   0.00% 13 =   0.00% 14 =   0.00% 15 =  43.52% 
16 =  32.84% 17 =  23.64% 18 =   0.00% 19 =   0.00% 20 =   0.00% 21 =   0.00% 22 =   0.00% 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 15.801 

 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 =   0.00% 13 =   0.00% 14 =   0.00% 15 =  43.52% 
16 =  76.36% 17 = 100.00% 18 = 100.00% 19 = 100.00% 20 = 100.00% 21 = 100.00% 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 =   735574   5332 =   526047   5431 =        0   5422 =   357640   4333 =   362467   6322 =    93861 
  6421 =        0   6331 =        0   5521 =        0   4441 =        0   7321 =        0   6430 =        0 
  5440 =        0   5530 =        0   6511 =        0   6520 =        0   7222 =        0   7411 =        0 
  7420 =        0   7330 =        0   8221 =        0   8311 =        0   8320 =        0   7510 =        0 
  6610 =        0   8410 =        0   9211 =        0   9310 =        0   9220 =        0   7600 =        0 
  8500 =        0  10210 =        0   9400 =        0  10111 =        0  10300 =        0  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 2075589 

  4432 =    35.44%  5332 =    25.34%  5431 =     0.00%  5422 =    17.23%  4333 =    17.46%  6322 =     4.52%
  6421 =     0.00%  6331 =     0.00%  5521 =     0.00%  4441 =     0.00%  7321 =     0.00%  6430 =     0.00%
  5440 =     0.00%  5530 =     0.00%  6511 =     0.00%  6520 =     0.00%  7222 =     0.00%  7411 =     0.00%
  7420 =     0.00%  7330 =     0.00%  8221 =     0.00%  8311 =     0.00%  8320 =     0.00%  7510 =     0.00%
  6610 =     0.00%  8410 =     0.00%  9211 =     0.00%  9310 =     0.00%  9220 =     0.00%  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  2.029 
  0 =  36.20%  36.20%    1 =  13.01%  49.21%    2 =  11.81%  61.02%    3 =  14.23%  75.26%    4 =  12.27%  87.53%  
  5 =   5.66%  93.19%    6 =   3.17%  96.36%    7 =   2.60%  98.97%    8 =   0.51%  99.48%    9 =   0.43%  99.91%  
 10 =   0.09% 100.00%  

** heart high card point    average HCP is  2.030 
  0 =  36.21%  36.21%    1 =  13.01%  49.21%    2 =  11.83%  61.04%    3 =  14.16%  75.20%    4 =  12.29%  87.49%  
  5 =   5.68%  93.17%    6 =   3.18%  96.35%    7 =   2.61%  98.97%    8 =   0.52%  99.49%    9 =   0.42%  99.91%  
 10 =   0.09% 100.00%  

** diamond high card point    average HCP is  2.003 
  0 =  36.80%  36.80%    1 =  12.96%  49.76%    2 =  11.79%  61.55%    3 =  14.08%  75.63%    4 =  12.14%  87.77%  
  5 =   5.57%  93.34%    6 =   3.12%  96.46%    7 =   2.55%  99.01%    8 =   0.50%  99.51%    9 =   0.40%  99.91%  
 10 =   0.09% 100.00%  

** club high card point    average HCP is  2.004 
  0 =  36.71%  36.71%    1 =  13.00%  49.72%    2 =  11.83%  61.55%    3 =  14.11%  75.65%    4 =  12.12%  87.77%  
  5 =   5.59%  93.37%    6 =   3.09%  96.46%    7 =   2.54%  99.00%    8 =   0.50%  99.50%    9 =   0.41%  99.91%  
 10 =   0.09% 100.00%  

** space suit length    average length is  3.264 
  0 =   1.09%   1.09%    1 =   7.41%   8.49%    2 =  20.37%  28.87%    3 =  29.28%  58.14%    4 =  24.53%  82.67%  
  5 =  12.57%  95.24%    6 =   3.95%  99.18%    7 =   0.73%  99.91%    8 =   0.08% 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  3.263 
  0 =   1.08%   1.08%    1 =   7.43%   8.52%    2 =  20.32%  28.84%    3 =  29.32%  58.15%    4 =  24.61%  82.76%  
  5 =  12.51%  95.27%    6 =   3.90%  99.17%    7 =   0.74%  99.91%    8 =   0.08%  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  3.235 
  0 =   1.17%   1.17%    1 =   7.74%   8.91%    2 =  20.72%  29.63%    3 =  29.36%  58.99%    4 =  24.21%  83.20%  
  5 =  12.22%  95.43%    6 =   3.78%  99.20%    7 =   0.72%  99.92%    8 =   0.08% 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  3.238 
  0 =   1.17%   1.17%    1 =   7.74%   8.91%    2 =  20.67%  29.58%    3 =  29.33%  58.91%    4 =  24.28%  83.18%  
  5 =  12.22%  95.40%    6 =   3.79%  99.19%    7 =   0.72%  99.92%    8 =   0.08% 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 =    16688  1 =    34159  2 =    55743  3 =    93823  4 =   137974  5 =   173119  6 =   201341  7 =   226163 
 8 =   226023  9 =   213098 10 =   188794 11 =   156801 12 =   120910 13 =    88137 14 =    59972 15 =    37896 
16 =    22283 17 =    12193 18 =     5987 19 =     2818 20 =     1111 21 =      390 22 =      133 23 =       29 
24 =        4 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 2075589 

 0 =   0.80%  1 =   1.65%  2 =   2.69%  3 =   4.52%  4 =   6.65%  5 =   8.34%  6 =   9.70%  7 =  10.90% 
 8 =  10.89%  9 =  10.27% 10 =   9.10% 11 =   7.55% 12 =   5.83% 13 =   4.25% 14 =   2.89% 15 =   1.83% 
16 =   1.07% 17 =   0.59% 18 =   0.29% 19 =   0.14% 20 =   0.05% 21 =   0.02% 22 =   0.01% 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  8.064 

 0 =   0.80%  1 =   2.45%  2 =   5.14%  3 =   9.66%  4 =  16.30%  5 =  24.64%  6 =  34.34%  7 =  45.24% 
 8 =  56.13%  9 =  66.40% 10 =  75.49% 11 =  83.05% 12 =  88.87% 13 =  93.12% 14 =  96.01% 15 =  97.83% 
16 =  98.91% 17 =  99.50% 18 =  99.78% 19 =  99.92% 20 =  99.97% 21 =  99.99% 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 =   470496   5332 =   331298   5431 =   266013   5422 =   220914   4333 =   234380   6322 =   111527 
  6421 =    89851   6331 =    67152   5521 =    62308   4441 =    62508   7321 =    32559   6430 =    24542 
  5440 =    24413   5530 =    17042   6511 =    12758   6520 =    11829   7222 =     9014   7411 =     6682 
  7420 =     5944   7330 =     4383   8221 =     2770   8311 =     1667   8320 =     1519   7510 =     1703 
  6610 =     1148   8410 =      633   9211 =      203   9310 =       93   9220 =       77   7600 =       89 
  8500 =       55  10210 =       10   9400 =        8  10111 =        1  10300 =        0  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 2075589 

  4432 =    22.67%  5332 =    15.96%  5431 =    12.82%  5422 =    10.64%  4333 =    11.29%  6322 =     5.37%
  6421 =     4.33%  6331 =     3.24%  5521 =     3.00%  4441 =     3.01%  7321 =     1.57%  6430 =     1.18%
  5440 =     1.18%  5530 =     0.82%  6511 =     0.61%  6520 =     0.57%  7222 =     0.43%  7411 =     0.32%
  7420 =     0.29%  7330 =     0.21%  8221 =     0.13%  8311 =     0.08%  8320 =     0.07%  7510 =     0.08%
  6610 =     0.06%  8410 =     0.03%  9211 =     0.01%  9310 =     0.00%  9220 =     0.00%  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  2.033 
  0 =  36.13%  36.13%    1 =  13.00%  49.14%    2 =  11.81%  60.94%    3 =  14.20%  75.14%    4 =  12.34%  87.48%  
  5 =   5.69%  93.18%    6 =   3.17%  96.35%    7 =   2.61%  98.96%    8 =   0.52%  99.48%    9 =   0.43%  99.91%  
 10 =   0.09% 100.00%  

** heart high card point    average HCP is  2.032 
  0 =  36.15%  36.15%    1 =  13.03%  49.18%    2 =  11.75%  60.93%    3 =  14.24%  75.17%    4 =  12.33%  87.50%  
  5 =   5.66%  93.16%    6 =   3.19%  96.35%    7 =   2.62%  98.97%    8 =   0.52%  99.49%    9 =   0.42%  99.91%  
 10 =   0.09% 100.00%  

** diamond high card point    average HCP is  2.003 
  0 =  36.75%  36.75%    1 =  13.04%  49.78%    2 =  11.75%  61.53%    3 =  14.11%  75.64%    4 =  12.15%  87.79%  
  5 =   5.57%  93.36%    6 =   3.09%  96.45%    7 =   2.55%  99.00%    8 =   0.50%  99.50%    9 =   0.41%  99.91%  
 10 =   0.09% 100.00%  

** club high card point    average HCP is  2.001 
  0 =  36.78%  36.78%    1 =  13.01%  49.80%    2 =  11.78%  61.57%    3 =  14.13%  75.70%    4 =  12.11%  87.81%  
  5 =   5.54%  93.35%    6 =   3.10%  96.46%    7 =   2.54%  98.99%    8 =   0.51%  99.51%    9 =   0.41%  99.91%  
 10 =   0.09% 100.00%  

** space suit length    average length is  3.266 
  0 =   1.08%   1.08%    1 =   7.39%   8.48%    2 =  20.29%  28.77%    3 =  29.31%  58.08%    4 =  24.62%  82.70%  
  5 =  12.55%  95.25%    6 =   3.92%  99.17%    7 =   0.74%  99.91%    8 =   0.08% 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  3.264 
  0 =   1.09%   1.09%    1 =   7.45%   8.54%    2 =  20.29%  28.83%    3 =  29.28%  58.12%    4 =  24.56%  82.68%  
  5 =  12.56%  95.24%    6 =   3.94%  99.18%    7 =   0.74%  99.91%    8 =   0.08% 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  3.235 
  0 =   1.17%   1.17%    1 =   7.77%   8.94%    2 =  20.72%  29.65%    3 =  29.33%  58.98%    4 =  24.23%  83.21%  
  5 =  12.19%  95.40%    6 =   3.80%  99.20%    7 =   0.72%  99.92%    8 =   0.08% 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  3.235 
  0 =   1.17%   1.17%    1 =   7.75%   8.92%    2 =  20.75%  29.67%    3 =  29.32%  58.99%    4 =  24.21%  83.20%  
  5 =  12.24%  95.44%    6 =   3.77%  99.21%    7 =   0.71%  99.92%    8 =   0.08% 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 =    16479  1 =    33879  2 =    55118  3 =    94277  4 =   138254  5 =   173179  6 =   201723  7 =   224854 
 8 =   226667  9 =   212101 10 =   190193 11 =   156347 12 =   121342 13 =    88010 14 =    60062 15 =    38063 
16 =    22238 17 =    12134 18 =     6062 19 =     2863 20 =     1195 21 =      381 22 =      131 23 =       26 
24 =       10 25 =        1 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 2075589 

 0 =   0.79%  1 =   1.63%  2 =   2.66%  3 =   4.54%  4 =   6.66%  5 =   8.34%  6 =   9.72%  7 =  10.83% 
 8 =  10.92%  9 =  10.22% 10 =   9.16% 11 =   7.53% 12 =   5.85% 13 =   4.24% 14 =   2.89% 15 =   1.83% 
16 =   1.07% 17 =   0.58% 18 =   0.29% 19 =   0.14% 20 =   0.06% 21 =   0.02% 22 =   0.01% 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  8.069 

 0 =   0.79%  1 =   2.43%  2 =   5.08%  3 =   9.62%  4 =  16.28%  5 =  24.63%  6 =  34.35%  7 =  45.18% 
 8 =  56.10%  9 =  66.32% 10 =  75.48% 11 =  83.02% 12 =  88.86% 13 =  93.10% 14 =  96.00% 15 =  97.83% 
16 =  98.90% 17 =  99.49% 18 =  99.78% 19 =  99.92% 20 =  99.97% 21 =  99.99% 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 =   469791   5332 =   331588   5431 =   265978   5422 =   220638   4333 =   234115   6322 =   111313 
  6421 =    90204   6331 =    67233   5521 =    62887   4441 =    63035   7321 =    32502   6430 =    24826 
  5440 =    24246   5530 =    16983   6511 =    12608   6520 =    11614   7222 =     9041   7411 =     6547 
  7420 =     6045   7330 =     4397   8221 =     2697   8311 =     1693   8320 =     1589   7510 =     1725 
  6610 =     1160   8410 =      636   9211 =      169   9310 =      100   9220 =       91   7600 =       73 
  8500 =       39  10210 =        5   9400 =       17  10111 =        2  10300 =        2  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 2075589 

  4432 =    22.63%  5332 =    15.98%  5431 =    12.81%  5422 =    10.63%  4333 =    11.28%  6322 =     5.36%
  6421 =     4.35%  6331 =     3.24%  5521 =     3.03%  4441 =     3.04%  7321 =     1.57%  6430 =     1.20%
  5440 =     1.17%  5530 =     0.82%  6511 =     0.61%  6520 =     0.56%  7222 =     0.44%  7411 =     0.32%
  7420 =     0.29%  7330 =     0.21%  8221 =     0.13%  8311 =     0.08%  8320 =     0.08%  7510 =     0.08%
  6610 =     0.06%  8410 =     0.03%  9211 =     0.01%  9310 =     0.00%  9220 =     0.00%  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  2.025 
  0 =  36.25%  36.25%    1 =  13.04%  49.29%    2 =  11.84%  61.13%    3 =  14.18%  75.32%    4 =  12.23%  87.55%  
  5 =   5.67%  93.21%    6 =   3.16%  96.38%    7 =   2.60%  98.98%    8 =   0.52%  99.49%    9 =   0.42%  99.91%  
 10 =   0.09% 100.00%  

** heart high card point    average HCP is  2.029 
  0 =  36.22%  36.22%    1 =  13.00%  49.21%    2 =  11.84%  61.05%    3 =  14.18%  75.23%    4 =  12.26%  87.49%  
  5 =   5.69%  93.18%    6 =   3.17%  96.35%    7 =   2.62%  98.97%    8 =   0.52%  99.49%    9 =   0.42%  99.91%  
 10 =   0.09% 100.00%  

** diamond high card point    average HCP is  2.005 
  0 =  36.71%  36.71%    1 =  12.99%  49.70%    2 =  11.78%  61.47%    3 =  14.12%  75.59%    4 =  12.19%  87.79%  
  5 =   5.58%  93.37%    6 =   3.09%  96.46%    7 =   2.54%  99.00%    8 =   0.51%  99.51%    9 =   0.40%  99.91%  
 10 =   0.09% 100.00%  

** club high card point    average HCP is  2.007 
  0 =  36.69%  36.69%    1 =  13.03%  49.71%    2 =  11.77%  61.48%    3 =  14.07%  75.55%    4 =  12.17%  87.72%  
  5 =   5.59%  93.31%    6 =   3.13%  96.44%    7 =   2.55%  98.99%    8 =   0.51%  99.50%    9 =   0.42%  99.91%  
 10 =   0.09% 100.00%  

** space suit length    average length is  3.261 
  0 =   1.09%   1.09%    1 =   7.45%   8.54%    2 =  20.36%  28.90%    3 =  29.33%  58.23%    4 =  24.53%  82.76%  
  5 =  12.51%  95.27%    6 =   3.90%  99.17%    7 =   0.74%  99.92%    8 =   0.08%  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  3.264 
  0 =   1.09%   1.09%    1 =   7.42%   8.50%    2 =  20.32%  28.82%    3 =  29.31%  58.13%    4 =  24.58%  82.71%  
  5 =  12.54%  95.25%    6 =   3.93%  99.18%    7 =   0.74%  99.91%    8 =   0.08% 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  3.238 
  0 =   1.17%   1.17%    1 =   7.72%   8.89%    2 =  20.71%  29.60%    3 =  29.27%  58.87%    4 =  24.28%  83.15%  
  5 =  12.25%  95.40%    6 =   3.80%  99.19%    7 =   0.72%  99.92%    8 =   0.08% 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  3.236 
  0 =   1.16%   1.16%    1 =   7.74%   8.90%    2 =  20.72%  29.62%    3 =  29.32%  58.94%    4 =  24.25%  83.19%  
  5 =  12.23%  95.42%    6 =   3.78%  99.21%    7 =   0.71%  99.92%    8 =   0.08%  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 =    16623  1 =    34257  2 =    55028  3 =    94260  4 =   138346  5 =   172845  6 =   201920  7 =   225231 
 8 =   226719  9 =   212689 10 =   188935 11 =   157113 12 =   120827 13 =    88122 14 =    59327 15 =    38019 
16 =    22351 17 =    12197 18 =     6203 19 =     2810 20 =     1194 21 =      406 22 =      139 23 =       21 
24 =        7 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 2075589 

 0 =   0.80%  1 =   1.65%  2 =   2.65%  3 =   4.54%  4 =   6.67%  5 =   8.33%  6 =   9.73%  7 =  10.85% 
 8 =  10.92%  9 =  10.25% 10 =   9.10% 11 =   7.57% 12 =   5.82% 13 =   4.25% 14 =   2.86% 15 =   1.83% 
16 =   1.08% 17 =   0.59% 18 =   0.30% 19 =   0.14% 20 =   0.06% 21 =   0.02% 22 =   0.01% 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  8.066 

 0 =   0.80%  1 =   2.45%  2 =   5.10%  3 =   9.64%  4 =  16.31%  5 =  24.64%  6 =  34.37%  7 =  45.22% 
 8 =  56.14%  9 =  66.39% 10 =  75.49% 11 =  83.06% 12 =  88.88% 13 =  93.13% 14 =  95.98% 15 =  97.82% 
16 =  98.89% 17 =  99.48% 18 =  99.78% 19 =  99.91% 20 =  99.97% 21 =  99.99% 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 =   470091   5332 =   330712   5431 =   265941   5422 =   222063   4333 =   234275   6322 =   111623 
  6421 =    89523   6331 =    67245   5521 =    62218   4441 =    62833   7321 =    32555   6430 =    24584 
  5440 =    24087   5530 =    17306   6511 =    12860   6520 =    11508   7222 =     8971   7411 =     6653 
  7420 =     6014   7330 =     4528   8221 =     2728   8311 =     1719   8320 =     1458   7510 =     1701 
  6610 =     1223   8410 =      644   9211 =      200   9310 =      108   9220 =       95   7600 =       67 
  8500 =       34  10210 =        9   9400 =        9  10111 =        4  10300 =        0  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 2075589 

  4432 =    22.65%  5332 =    15.93%  5431 =    12.81%  5422 =    10.70%  4333 =    11.29%  6322 =     5.38%
  6421 =     4.31%  6331 =     3.24%  5521 =     3.00%  4441 =     3.03%  7321 =     1.57%  6430 =     1.18%
  5440 =     1.16%  5530 =     0.83%  6511 =     0.62%  6520 =     0.55%  7222 =     0.43%  7411 =     0.32%
  7420 =     0.29%  7330 =     0.22%  8221 =     0.13%  8311 =     0.08%  8320 =     0.07%  7510 =     0.08%
  6610 =     0.06%  8410 =     0.03%  9211 =     0.01%  9310 =     0.01%  9220 =     0.00%  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%