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total time is    1566 seconds 
First hand parameters
inclusive conditions
HCP    0 to HCP 37 ... 2. use HCP only AND none
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
Second hand parameters
inclusive conditions
HCP    0 to HCP 37 ... 2. use HCP only AND none
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 AND none
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 AND none
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 100000000        number of failure to find 1st hand is 0
average number of try to get 1st hand is    1.000    percent for 1st hands is 100.000%
number of 2nd hand found is 100000000   number of failure to find 2nd hand is 100000000
average number of try to get 2nd hand is    1.000            percent for 2nd hands is 100.000%
number of 3rd hand found is 100000000    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   1.000
percent for all three hands is                 100.000%

1st hand HCP   statistic
total sum is 100000000 
HCP  0 =   362864   0.36% HCP  1 =   788320   0.79% HCP  2 =  1356834   1.36% HCP  3 =  2460263   2.46% 
HCP  4 =  3843684   3.84% HCP  5 =  5180001   5.18% HCP  6 =  6554232   6.55% HCP  7 =  8030996   8.03% 
HCP  8 =  8891295   8.89% HCP  9 =  9356774   9.36% HCP 10 =  9411150   9.41% HCP 11 =  8941284   8.94% 
HCP 12 =  8027975   8.03% HCP 13 =  6918136   6.92% HCP 14 =  5693078   5.69% HCP 15 =  4424009   4.42% 
HCP 16 =  3311592   3.31% HCP 17 =  2361320   2.36% HCP 18 =  1605135   1.61% HCP 19 =  1035348   1.04% 
HCP 20 =   643864   0.64% HCP 21 =   378182   0.38% HCP 22 =   209535   0.21% HCP 23 =   112258   0.11% 
HCP 24 =    55595   0.06% HCP 25 =    26725   0.03% HCP 26 =    11727   0.01% HCP 27 =     4989   0.00% 
HCP 28 =     1884   0.00% HCP 29 =      639   0.00% HCP 30 =      236   0.00% HCP 31 =       57   0.00% 
HCP 32 =       18   0.00% HCP 33 =        0   0.00% HCP 34 =        1   0.00% HCP 35 =        0   0.00% 
2nd hand HCP   statistic
total sum is 100000000 
HCP  0 =   363782   0.36% HCP  1 =   789018   0.79% HCP  2 =  1357266   1.36% HCP  3 =  2461753   2.46% 
HCP  4 =  3845107   3.85% HCP  5 =  5188793   5.19% HCP  6 =  6555079   6.56% HCP  7 =  8031164   8.03% 
HCP  8 =  8884347   8.88% HCP  9 =  9360047   9.36% HCP 10 =  9402633   9.40% HCP 11 =  8943649   8.94% 
HCP 12 =  8026790   8.03% HCP 13 =  6913657   6.91% HCP 14 =  5691476   5.69% HCP 15 =  4426083   4.43% 
HCP 16 =  3311964   3.31% HCP 17 =  2361777   2.36% HCP 18 =  1603936   1.60% HCP 19 =  1035840   1.04% 
HCP 20 =   643510   0.64% HCP 21 =   377342   0.38% HCP 22 =   210854   0.21% HCP 23 =   112384   0.11% 
HCP 24 =    55861   0.06% HCP 25 =    26459   0.03% HCP 26 =    11716   0.01% HCP 27 =     4859   0.00% 
HCP 28 =     1880   0.00% HCP 29 =      696   0.00% HCP 30 =      205   0.00% HCP 31 =       51   0.00% 
HCP 32 =       16   0.00% HCP 33 =        4   0.00% HCP 34 =        1   0.00% HCP 35 =        1   0.00% 
3rd hand HCP   statistic
total sum is 100000000 
HCP  0 =   364593   0.36% HCP  1 =   787842   0.79% HCP  2 =  1354638   1.35% HCP  3 =  2465987   2.47% 
HCP  4 =  3846099   3.85% HCP  5 =  5186595   5.19% HCP  6 =  6557406   6.56% HCP  7 =  8024662   8.02% 
HCP  8 =  8890006   8.89% HCP  9 =  9355872   9.36% HCP 10 =  9407069   9.41% HCP 11 =  8950957   8.95% 
HCP 12 =  8026264   8.03% HCP 13 =  6911130   6.91% HCP 14 =  5692038   5.69% HCP 15 =  4420789   4.42% 
HCP 16 =  3313265   3.31% HCP 17 =  2361509   2.36% HCP 18 =  1603128   1.60% HCP 19 =  1036445   1.04% 
HCP 20 =   642732   0.64% HCP 21 =   377089   0.38% HCP 22 =   210195   0.21% HCP 23 =   112047   0.11% 
HCP 24 =    55702   0.06% HCP 25 =    26292   0.03% HCP 26 =    11746   0.01% HCP 27 =     5001   0.01% 
HCP 28 =     1952   0.00% HCP 29 =      678   0.00% HCP 30 =      201   0.00% HCP 31 =       54   0.00% 
HCP 32 =       13   0.00% HCP 33 =        4   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  5.002 
  0 =   5.51%   5.51%    1 =   6.24%  11.75%    2 =   6.24%  17.99%    3 =  12.74%  30.73%    4 =  12.74%  43.47%  
  5 =  13.00%  56.47%    6 =  12.75%  69.22%    7 =  12.75%  81.97%    8 =   6.25%  88.22%    9 =   6.25%  94.47%  
 10 =   5.53% 100.00%  

** heart high card point    average HCP is  5.000 
  0 =   5.52%   5.52%    1 =   6.24%  11.77%    2 =   6.24%  18.01%    3 =  12.75%  30.75%    4 =  12.75%  43.50%  
  5 =  13.00%  56.50%    6 =  12.75%  69.25%    7 =  12.75%  81.99%    8 =   6.24%  88.23%    9 =   6.24%  94.48%  
 10 =   5.52% 100.00%  

** diamond high card point    average HCP is  4.999 
  0 =   5.53%   5.53%    1 =   6.25%  11.77%    2 =   6.25%  18.02%    3 =  12.74%  30.76%    4 =  12.75%  43.51%  
  5 =  13.00%  56.51%    6 =  12.75%  69.26%    7 =  12.74%  82.00%    8 =   6.24%  88.25%    9 =   6.24%  94.48%  
 10 =   5.52% 100.00%  

** club high card point    average HCP is  5.000 
  0 =   5.52%   5.52%    1 =   6.24%  11.77%    2 =   6.24%  18.01%    3 =  12.74%  30.75%    4 =  12.75%  43.50%  
  5 =  13.01%  56.51%    6 =  12.74%  69.25%    7 =  12.75%  82.00%    8 =   6.24%  88.24%    9 =   6.24%  94.48%  
 10 =   5.52% 100.00%  

** space suit length    average length is  6.502 
  0 =   0.00%   0.00%    1 =   0.04%   0.04%    2 =   0.39%   0.44%    3 =   2.17%   2.60%    4 =   7.34%   9.95%  
  5 =  16.17%  26.12%    6 =  23.84%  49.96%    7 =  23.86%  73.82%    8 =  16.20%  90.02%    9 =   7.36%  97.38%  
 10 =   2.18%  99.56%   11 =   0.40%  99.96%   12 =   0.04% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  6.499 
  0 =   0.00%   0.00%    1 =   0.04%   0.04%    2 =   0.40%   0.44%    3 =   2.18%   2.61%    4 =   7.36%   9.97%  
  5 =  16.19%  26.16%    6 =  23.85%  50.01%    7 =  23.86%  73.87%    8 =  16.17%  90.04%    9 =   7.35%  97.39%  
 10 =   2.17%  99.56%   11 =   0.40%  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 =   2.18%   2.62%    4 =   7.36%   9.98%  
  5 =  16.19%  26.16%    6 =  23.87%  50.03%    7 =  23.84%  73.87%    8 =  16.18%  90.04%    9 =   7.35%  97.39%  
 10 =   2.17%  99.56%   11 =   0.39%  99.96%   12 =   0.04% 100.00%   13 =   0.00% 100.00%  

**  club 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 =   7.35%   9.97%  
  5 =  16.19%  26.15%    6 =  23.85%  50.00%    7 =  23.86%  73.86%    8 =  16.18%  90.04%    9 =   7.35%  97.39%  
 10 =   2.17%  99.56%   11 =   0.40%  99.96%   12 =   0.04% 100.00%   13 =   0.00% 100.00%  

****  total HCP 

 0 =       55  1 =      482  2 =     2045  3 =     6433  4 =    18054  5 =    42260  6 =    92720  7 =   185490 
 8 =   340870  9 =   587314 10 =   955838 11 =  1463752 12 =  2122560 13 =  2941318 14 =  3880306 15 =  4894724 
16 =  5905663 17 =  6832619 18 =  7565522 19 =  8045074 20 =  8223683 21 =  8044874 22 =  7569674 23 =  6830517 
24 =  5911510 25 =  4890748 26 =  3883386 27 =  2943557 28 =  2124735 29 =  1463040 30 =   954707 31 =   586685 
32 =   340841 33 =   185584 34 =    93651 35 =    42504 36 =    18135 37 =     6427 38 =     2074 39 =      510 
40 =       59 
 total count is 100000000 

 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 =   0.96% 11 =   1.46% 12 =   2.12% 13 =   2.94% 14 =   3.88% 15 =   4.89% 
16 =   5.91% 17 =   6.83% 18 =   7.57% 19 =   8.05% 20 =   8.22% 21 =   8.04% 22 =   7.57% 23 =   6.83% 
24 =   5.91% 25 =   4.89% 26 =   3.88% 27 =   2.94% 28 =   2.12% 29 =   1.46% 30 =   0.95% 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   20.001 

 0 =   0.00%  1 =   0.00%  2 =   0.00%  3 =   0.01%  4 =   0.03%  5 =   0.07%  6 =   0.16%  7 =   0.35% 
 8 =   0.69%  9 =   1.28% 10 =   2.23% 11 =   3.70% 12 =   5.82% 13 =   8.76% 14 =  12.64% 15 =  17.53% 
16 =  23.44% 17 =  30.27% 18 =  37.84% 19 =  45.88% 20 =  54.11% 21 =  62.15% 22 =  69.72% 23 =  76.55% 
24 =  82.46% 25 =  87.35% 26 =  91.24% 27 =  94.18% 28 =  96.31% 29 =  97.77% 30 =  98.72% 31 =  99.31% 
32 =  99.65% 33 =  99.84% 34 =  99.93% 35 =  99.97% 36 =  99.99% 37 = 100.00% 38 = 100.00% 39 = 100.00% 
40 = 100.00% 

**** total trick distribution 

  77 = 10493432   78 =  5248916   79 =        0  710 =        0  711 =        0  712 =        0  713 =        0 
  87 =  5246775   88 = 26923825   89 = 11469388  810 =  1966966  811 =   134308  812 =        0  813 =        0 
  97 =        0   98 = 11478446   99 = 11692711  910 =  4097281  911 =   760881  912 =    65003  913 =     1649 
 107 =        0  108 =  1968207  109 =  4098117 1010 =  2032670 1011 =   508565 1012 =    65291 1013 =     3189 
 117 =        0  118 =   133528  119 =   761916 1110 =   506823 1111 =   153320 1112 =    23692 1113 =     1475 
 127 =        0  128 =        0  129 =    64049 1210 =    65045 1211 =    23473 1212 =     4241 1213 =      295 
 137 =        0  138 =        0  139 =     1589 1310 =     3219 1311 =     1398 1312 =      293 1313 =       24 
 total count is 100000016 

  77 =    10.49%  78 =     5.25%  79 =     0.00% 710 =     0.00% 711 =     0.00% 712 =     0.00% 713 =     0.00%
  87 =     5.25%  88 =    26.92%  89 =    11.47% 810 =     1.97% 811 =     0.13% 812 =     0.00% 813 =     0.00%
  97 =     0.00%  98 =    11.48%  99 =    11.69% 910 =     4.10% 911 =     0.76% 912 =     0.07% 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 =     0.76%1110 =     0.51%1111 =     0.15%1112 =     0.02%1113 =     0.00%
 127 =     0.00% 128 =     0.00% 129 =     0.06%1210 =     0.07%1211 =     0.02%1212 =     0.00%1213 =     0.00%
 137 =     0.00% 138 =     0.00% 139 =     0.00%1310 =     0.00%1311 =     0.00%1312 =     0.00%1313 =     0.00%


 North hand statistic 

** spade high card point    average HCP is  2.502 
  0 =  30.34%  30.34%    1 =  10.97%  41.31%    2 =  10.97%  52.28%    3 =  14.54%  66.82%    4 =  14.53%  81.36%  
  5 =   7.13%  88.48%    6 =   4.60%  93.08%    7 =   4.60%  97.67%    8 =   1.03%  98.70%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** heart high card point    average HCP is  2.500 
  0 =  30.38%  30.38%    1 =  10.97%  41.35%    2 =  10.97%  52.32%    3 =  14.53%  66.85%    4 =  14.53%  81.38%  
  5 =   7.12%  88.50%    6 =   4.59%  93.08%    7 =   4.59%  97.67%    8 =   1.03%  98.70%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** diamond high card point    average HCP is  2.500 
  0 =  30.38%  30.38%    1 =  10.97%  41.35%    2 =  10.97%  52.33%    3 =  14.53%  66.86%    4 =  14.53%  81.39%  
  5 =   7.12%  88.51%    6 =   4.59%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** club high card point    average HCP is  2.499 
  0 =  30.40%  30.40%    1 =  10.98%  41.38%    2 =  10.97%  52.35%    3 =  14.52%  66.87%    4 =  14.53%  81.40%  
  5 =   7.11%  88.51%    6 =   4.58%  93.09%    7 =   4.58%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** space suit length    average length is  3.252 
  0 =   1.27%   1.27%    1 =   7.99%   9.26%    2 =  20.56%  29.83%    3 =  28.63%  58.46%    4 =  23.88%  82.34%  
  5 =  12.49%  94.82%    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%  

**  heart suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.01%   9.29%    2 =  20.59%  29.88%    3 =  28.63%  58.51%    4 =  23.86%  82.37%  
  5 =  12.47%  94.84%    6 =   4.16%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  3.249 
  0 =   1.28%   1.28%    1 =   8.01%   9.29%    2 =  20.60%  29.89%    3 =  28.64%  58.53%    4 =  23.86%  82.39%  
  5 =  12.46%  94.85%    6 =   4.15%  99.00%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  3.249 
  0 =   1.28%   1.28%    1 =   8.01%   9.29%    2 =  20.59%  29.88%    3 =  28.65%  58.53%    4 =  23.86%  82.39%  
  5 =  12.46%  94.84%    6 =   4.15%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

****  total HCP 

 0 =   362864  1 =   788320  2 =  1356834  3 =  2460263  4 =  3843684  5 =  5180001  6 =  6554232  7 =  8030996 
 8 =  8891295  9 =  9356774 10 =  9411150 11 =  8941284 12 =  8027975 13 =  6918136 14 =  5693078 15 =  4424009 
16 =  3311592 17 =  2361320 18 =  1605135 19 =  1035348 20 =   643864 21 =   378182 22 =   209535 23 =   112258 
24 =    55595 25 =    26725 26 =    11727 27 =     4989 28 =     1884 29 =      639 30 =      236 31 =       57 
32 =       18 33 =        0 34 =        1 35 =        0 36 =        0 37 =        0 
 total count is 100000008 

 0 =   0.36%  1 =   0.79%  2 =   1.36%  3 =   2.46%  4 =   3.84%  5 =   5.18%  6 =   6.55%  7 =   8.03% 
 8 =   8.89%  9 =   9.36% 10 =   9.41% 11 =   8.94% 12 =   8.03% 13 =   6.92% 14 =   5.69% 15 =   4.42% 
16 =   3.31% 17 =   2.36% 18 =   1.61% 19 =   1.04% 20 =   0.64% 21 =   0.38% 22 =   0.21% 23 =   0.11% 
24 =   0.06% 25 =   0.03% 26 =   0.01% 27 =   0.00% 28 =   0.00% 29 =   0.00% 30 =   0.00% 31 =   0.00% 
32 =   0.00% 33 =   0.00% 34 =   0.00% 35 =   0.00% 36 =   0.00% 37 =   0.00% 
 average HCP is 10.001 

 0 =   0.36%  1 =   1.15%  2 =   2.51%  3 =   4.97%  4 =   8.81%  5 =  13.99%  6 =  20.55%  7 =  28.58% 
 8 =  37.47%  9 =  46.83% 10 =  56.24% 11 =  65.18% 12 =  73.21% 13 =  80.12% 14 =  85.82% 15 =  90.24% 
16 =  93.55% 17 =  95.91% 18 =  97.52% 19 =  98.55% 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 distribution 

  4432 = 21552803   5332 = 15520515   5431 = 12934296   5422 = 10580812   4333 = 10538676   6322 =  5640958 
  6421 =  4697714   6331 =  3449493   5521 =  3169492   4441 =  2995110   7321 =  1878342   6430 =  1325300 
  5440 =  1243321   5530 =   893876   6511 =   706304   6520 =   652411   7222 =   512258   7411 =   391060 
  7420 =   361559   7330 =   264670   8221 =   191693   8311 =   117818   8320 =   108618   7510 =   108562 
  6610 =    72211   8410 =    44982   9211 =    17708   9310 =     9774   9220 =     8203   7600 =     5659 
  8500 =     3164  10210 =     1086   9400 =      979  10111 =      369  10300 =      156  11110 =        0 
 11200 =       48  12100 =        0 
 total count is 100000016 

  4432 =    21.55%  5332 =    15.52%  5431 =    12.93%  5422 =    10.58%  4333 =    10.54%  6322 =     5.64%
  6421 =     4.70%  6331 =     3.45%  5521 =     3.17%  4441 =     3.00%  7321 =     1.88%  6430 =     1.33%
  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 =     0.19%  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%

 South hand statistic 

** spade high card point    average HCP is  2.500 
  0 =  30.38%  30.38%    1 =  10.97%  41.36%    2 =  10.97%  52.33%    3 =  14.53%  66.85%    4 =  14.54%  81.39%  
  5 =   7.12%  88.51%    6 =   4.58%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** heart high card point    average HCP is  2.500 
  0 =  30.39%  30.39%    1 =  10.97%  41.36%    2 =  10.97%  52.33%    3 =  14.53%  66.86%    4 =  14.53%  81.39%  
  5 =   7.11%  88.50%    6 =   4.59%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** diamond high card point    average HCP is  2.499 
  0 =  30.39%  30.39%    1 =  10.97%  41.36%    2 =  10.97%  52.34%    3 =  14.52%  66.86%    4 =  14.53%  81.39%  
  5 =   7.12%  88.50%    6 =   4.59%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** club high card point    average HCP is  2.501 
  0 =  30.37%  30.37%    1 =  10.96%  41.33%    2 =  10.97%  52.30%    3 =  14.54%  66.83%    4 =  14.54%  81.37%  
  5 =   7.12%  88.49%    6 =   4.59%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** space suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.00%   9.28%    2 =  20.59%  29.87%    3 =  28.64%  58.51%    4 =  23.86%  82.37%  
  5 =  12.47%  94.84%    6 =   4.15%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.01%   9.29%    2 =  20.59%  29.88%    3 =  28.64%  58.52%    4 =  23.86%  82.38%  
  5 =  12.46%  94.84%    6 =   4.15%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.01%   9.29%    2 =  20.58%  29.87%    3 =  28.64%  58.51%    4 =  23.86%  82.37%  
  5 =  12.47%  94.84%    6 =   4.15%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  3.251 
  0 =   1.28%   1.28%    1 =   8.00%   9.28%    2 =  20.58%  29.86%    3 =  28.63%  58.49%    4 =  23.87%  82.36%  
  5 =  12.48%  94.83%    6 =   4.16%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

****  total HCP 

 0 =   363782  1 =   789018  2 =  1357266  3 =  2461753  4 =  3845107  5 =  5188793  6 =  6555079  7 =  8031164 
 8 =  8884347  9 =  9360047 10 =  9402633 11 =  8943649 12 =  8026790 13 =  6913657 14 =  5691476 15 =  4426083 
16 =  3311964 17 =  2361777 18 =  1603936 19 =  1035840 20 =   643510 21 =   377342 22 =   210854 23 =   112384 
24 =    55861 25 =    26459 26 =    11716 27 =     4859 28 =     1880 29 =      696 30 =      205 31 =       51 
32 =       16 33 =        4 34 =        1 35 =        1 36 =        0 37 =        0 
 total count is 100000000 

 0 =   0.36%  1 =   0.79%  2 =   1.36%  3 =   2.46%  4 =   3.85%  5 =   5.19%  6 =   6.56%  7 =   8.03% 
 8 =   8.88%  9 =   9.36% 10 =   9.40% 11 =   8.94% 12 =   8.03% 13 =   6.91% 14 =   5.69% 15 =   4.43% 
16 =   3.31% 17 =   2.36% 18 =   1.60% 19 =   1.04% 20 =   0.64% 21 =   0.38% 22 =   0.21% 23 =   0.11% 
24 =   0.06% 25 =   0.03% 26 =   0.01% 27 =   0.00% 28 =   0.00% 29 =   0.00% 30 =   0.00% 31 =   0.00% 
32 =   0.00% 33 =   0.00% 34 =   0.00% 35 =   0.00% 36 =   0.00% 37 =   0.00% 
 average HCP is 10.000 

 0 =   0.36%  1 =   1.15%  2 =   2.51%  3 =   4.97%  4 =   8.82%  5 =  14.01%  6 =  20.56%  7 =  28.59% 
 8 =  37.48%  9 =  46.84% 10 =  56.24% 11 =  65.18% 12 =  73.21% 13 =  80.12% 14 =  85.81% 15 =  90.24% 
16 =  93.55% 17 =  95.91% 18 =  97.52% 19 =  98.55% 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 distribution 

  4432 = 21550287   5332 = 15514001   5431 = 12934146   5422 = 10578947   4333 = 10544369   6322 =  5642176 
  6421 =  4697806   6331 =  3445763   5521 =  3174266   4441 =  2994276   7321 =  1882713   6430 =  1326229 
  5440 =  1241795   5530 =   895534   6511 =   703779   6520 =   650490   7222 =   512877   7411 =   391213 
  7420 =   362358   7330 =   265526   8221 =   192099   8311 =   117996   8320 =   108185   7510 =   108338 
  6610 =    72547   8410 =    44890   9211 =    17830   9310 =    10110   9220 =     8106   7600 =     5558 
  8500 =     3081  10210 =     1128   9400 =      972  10111 =      399  10300 =      176  11110 =        0 
 11200 =       34  12100 =        0 
 total count is 99999984 

  4432 =    21.55%  5332 =    15.51%  5431 =    12.93%  5422 =    10.58%  4333 =    10.54%  6322 =     5.64%
  6421 =     4.70%  6331 =     3.45%  5521 =     3.17%  4441 =     2.99%  7321 =     1.88%  6430 =     1.33%
  5440 =     1.24%  5530 =     0.90%  6511 =     0.70%  6520 =     0.65%  7222 =     0.51%  7411 =     0.39%
  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%

 East hand statistic 

** spade high card point    average HCP is  2.499 
  0 =  30.39%  30.39%    1 =  10.97%  41.37%    2 =  10.97%  52.34%    3 =  14.53%  66.87%    4 =  14.52%  81.39%  
  5 =   7.11%  88.50%    6 =   4.59%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** heart high card point    average HCP is  2.499 
  0 =  30.39%  30.39%    1 =  10.97%  41.36%    2 =  10.97%  52.33%    3 =  14.53%  66.86%    4 =  14.53%  81.39%  
  5 =   7.12%  88.51%    6 =   4.58%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** diamond high card point    average HCP is  2.500 
  0 =  30.38%  30.38%    1 =  10.97%  41.34%    2 =  10.97%  52.32%    3 =  14.53%  66.85%    4 =  14.53%  81.38%  
  5 =   7.12%  88.50%    6 =   4.59%  93.08%    7 =   4.59%  97.67%    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 =  30.38%  30.38%    1 =  10.97%  41.35%    2 =  10.97%  52.32%    3 =  14.53%  66.85%    4 =  14.53%  81.38%  
  5 =   7.12%  88.50%    6 =   4.59%  93.09%    7 =   4.59%  97.67%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** space suit length    average length is  3.249 
  0 =   1.28%   1.28%    1 =   8.01%   9.29%    2 =  20.60%  29.89%    3 =  28.64%  58.53%    4 =  23.86%  82.39%  
  5 =  12.46%  94.85%    6 =   4.15%  99.00%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.00%   9.28%    2 =  20.58%  29.87%    3 =  28.63%  58.50%    4 =  23.87%  82.37%  
  5 =  12.47%  94.84%    6 =   4.16%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  3.251 
  0 =   1.28%   1.28%    1 =   8.00%   9.28%    2 =  20.57%  29.85%    3 =  28.63%  58.48%    4 =  23.87%  82.35%  
  5 =  12.48%  94.83%    6 =   4.16%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.00%   9.28%    2 =  20.59%  29.87%    3 =  28.63%  58.50%    4 =  23.86%  82.37%  
  5 =  12.47%  94.84%    6 =   4.15%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

****  total HCP 

 0 =   364593  1 =   787842  2 =  1354638  3 =  2465987  4 =  3846099  5 =  5186595  6 =  6557406  7 =  8024662 
 8 =  8890006  9 =  9355872 10 =  9407069 11 =  8950957 12 =  8026264 13 =  6911130 14 =  5692038 15 =  4420789 
16 =  3313265 17 =  2361509 18 =  1603128 19 =  1036445 20 =   642732 21 =   377089 22 =   210195 23 =   112047 
24 =    55702 25 =    26292 26 =    11746 27 =     5001 28 =     1952 29 =      678 30 =      201 31 =       54 
32 =       13 33 =        4 34 =        0 35 =        0 36 =        0 37 =        0 
 total count is 100000000 

 0 =   0.36%  1 =   0.79%  2 =   1.35%  3 =   2.47%  4 =   3.85%  5 =   5.19%  6 =   6.56%  7 =   8.02% 
 8 =   8.89%  9 =   9.36% 10 =   9.41% 11 =   8.95% 12 =   8.03% 13 =   6.91% 14 =   5.69% 15 =   4.42% 
16 =   3.31% 17 =   2.36% 18 =   1.60% 19 =   1.04% 20 =   0.64% 21 =   0.38% 22 =   0.21% 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  9.999 

 0 =   0.36%  1 =   1.15%  2 =   2.51%  3 =   4.97%  4 =   8.82%  5 =  14.01%  6 =  20.56%  7 =  28.59% 
 8 =  37.48%  9 =  46.83% 10 =  56.24% 11 =  65.19% 12 =  73.22% 13 =  80.13% 14 =  85.82% 15 =  90.24% 
16 =  93.56% 17 =  95.92% 18 =  97.52% 19 =  98.56% 20 =  99.20% 21 =  99.58% 22 =  99.79% 23 =  99.90% 
24 =  99.95% 25 =  99.98% 26 =  99.99% 27 = 100.00% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00% 
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 

**** total distribution 

  4432 = 21556410   5332 = 15516594   5431 = 12932528   5422 = 10578091   4333 = 10539431   6322 =  5641051 
  6421 =  4703393   6331 =  3446646   5521 =  3172533   4441 =  2994685   7321 =  1878232   6430 =  1325827 
  5440 =  1244028   5530 =   894525   6511 =   705246   6520 =   649861   7222 =   512080   7411 =   391936 
  7420 =   360928   7330 =   265629   8221 =   192520   8311 =   116771   8320 =   108556   7510 =   108229 
  6610 =    71817   8410 =    45127   9211 =    17755   9310 =    10148   9220 =     8181   7600 =     5466 
  8500 =     3070  10210 =     1152   9400 =      976  10111 =      391  10300 =      146  11110 =        0 
 11200 =       40  12100 =        1 
 total count is 100000016 

  4432 =    21.56%  5332 =    15.52%  5431 =    12.93%  5422 =    10.58%  4333 =    10.54%  6322 =     5.64%
  6421 =     4.70%  6331 =     3.45%  5521 =     3.17%  4441 =     2.99%  7321 =     1.88%  6430 =     1.33%
  5440 =     1.24%  5530 =     0.89%  6511 =     0.71%  6520 =     0.65%  7222 =     0.51%  7411 =     0.39%
  7420 =     0.36%  7330 =     0.27%  8221 =     0.19%  8311 =     0.12%  8320 =     0.11%  7510 =     0.11%
  6610 =     0.07%  8410 =     0.05%  9211 =     0.02%  9310 =     0.01%  9220 =     0.01%  7600 =     0.01%
  8500 =     0.00% 10210 =     0.00%  9400 =     0.00% 10111 =     0.00% 10300 =     0.00% 11110 =     0.00%
 11200 =     0.00% 12100 =     0.00%

 West hand statistic 

** spade high card point    average HCP is  2.499 
  0 =  30.40%  30.40%    1 =  10.97%  41.37%    2 =  10.98%  52.35%    3 =  14.53%  66.88%    4 =  14.52%  81.40%  
  5 =   7.11%  88.51%    6 =   4.59%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** heart high card point    average HCP is  2.501 
  0 =  30.36%  30.36%    1 =  10.97%  41.34%    2 =  10.98%  52.31%    3 =  14.53%  66.85%    4 =  14.53%  81.38%  
  5 =   7.11%  88.49%    6 =   4.59%  93.09%    7 =   4.59%  97.67%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** diamond high card point    average HCP is  2.501 
  0 =  30.37%  30.37%    1 =  10.97%  41.34%    2 =  10.98%  52.32%    3 =  14.53%  66.85%    4 =  14.53%  81.38%  
  5 =   7.12%  88.50%    6 =   4.59%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.70%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** club high card point    average HCP is  2.500 
  0 =  30.38%  30.38%    1 =  10.98%  41.35%    2 =  10.97%  52.32%    3 =  14.53%  66.85%    4 =  14.53%  81.38%  
  5 =   7.12%  88.50%    6 =   4.59%  93.09%    7 =   4.59%  97.68%    8 =   1.03%  98.71%    9 =   1.03%  99.74%  
 10 =   0.26% 100.00%  

** space suit length    average length is  3.249 
  0 =   1.28%   1.28%    1 =   8.01%   9.29%    2 =  20.60%  29.89%    3 =  28.64%  58.52%    4 =  23.86%  82.38%  
  5 =  12.46%  94.84%    6 =   4.15%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.00%   9.28%    2 =  20.58%  29.86%    3 =  28.64%  58.50%    4 =  23.86%  82.36%  
  5 =  12.47%  94.83%    6 =   4.16%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.01%   9.28%    2 =  20.58%  29.86%    3 =  28.64%  58.50%    4 =  23.86%  82.37%  
  5 =  12.47%  94.84%    6 =   4.16%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  3.250 
  0 =   1.28%   1.28%    1 =   8.01%   9.28%    2 =  20.58%  29.86%    3 =  28.64%  58.50%    4 =  23.86%  82.36%  
  5 =  12.47%  94.84%    6 =   4.15%  98.99%    7 =   0.88%  99.87%    8 =   0.12%  99.99%    9 =   0.01% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

****  total HCP 

 0 =   362452  1 =   786233  2 =  1355484  3 =  2461442  4 =  3846867  5 =  5188618  6 =  6553289  7 =  8028499 
 8 =  8892980  9 =  9360104 10 =  9402305 11 =  8946633 12 =  8026320 13 =  6916695 14 =  5693762 15 =  4424611 
16 =  3307308 17 =  2357757 18 =  1607106 19 =  1036366 20 =   643244 21 =   378661 22 =   210039 23 =   111614 
24 =    55699 25 =    26374 26 =    11752 27 =     4936 28 =     1887 29 =      645 30 =      230 31 =       67 
32 =       19 33 =        2 34 =        0 35 =        0 36 =        0 37 =        0 
 total count is 100000008 

 0 =   0.36%  1 =   0.79%  2 =   1.36%  3 =   2.46%  4 =   3.85%  5 =   5.19%  6 =   6.55%  7 =   8.03% 
 8 =   8.89%  9 =   9.36% 10 =   9.40% 11 =   8.95% 12 =   8.03% 13 =   6.92% 14 =   5.69% 15 =   4.42% 
16 =   3.31% 17 =   2.36% 18 =   1.61% 19 =   1.04% 20 =   0.64% 21 =   0.38% 22 =   0.21% 23 =   0.11% 
24 =   0.06% 25 =   0.03% 26 =   0.01% 27 =   0.00% 28 =   0.00% 29 =   0.00% 30 =   0.00% 31 =   0.00% 
32 =   0.00% 33 =   0.00% 34 =   0.00% 35 =   0.00% 36 =   0.00% 37 =   0.00% 
 average HCP is 10.000 

 0 =   0.36%  1 =   1.15%  2 =   2.50%  3 =   4.97%  4 =   8.81%  5 =  14.00%  6 =  20.55%  7 =  28.58% 
 8 =  37.48%  9 =  46.84% 10 =  56.24% 11 =  65.18% 12 =  73.21% 13 =  80.13% 14 =  85.82% 15 =  90.25% 
16 =  93.55% 17 =  95.91% 18 =  97.52% 19 =  98.55% 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 distribution 

  4432 = 21556242   5332 = 15520623   5431 = 12930583   5422 = 10575678   4333 = 10540188   6322 =  5639319 
  6421 =  4704324   6331 =  3448293   5521 =  3174021   4441 =  2991429   7321 =  1880275   6430 =  1326080 
  5440 =  1242773   5530 =   894563   6511 =   703888   6520 =   650643   7222 =   511539   7411 =   392386 
  7420 =   361068   7330 =   265771   8221 =   192135   8311 =   117387   8320 =   107684   7510 =   108984 
  6610 =    72018   8410 =    44895   9211 =    17800   9310 =     9949   9220 =     8243   7600 =     5544 
  8500 =     3058  10210 =     1079   9400 =      972  10111 =      389  10300 =      138  11110 =        0 
 11200 =       39  12100 =        0 
 total count is 100000008 

  4432 =    21.56%  5332 =    15.52%  5431 =    12.93%  5422 =    10.58%  4333 =    10.54%  6322 =     5.64%
  6421 =     4.70%  6331 =     3.45%  5521 =     3.17%  4441 =     2.99%  7321 =     1.88%  6430 =     1.33%
  5440 =     1.24%  5530 =     0.89%  6511 =     0.70%  6520 =     0.65%  7222 =     0.51%  7411 =     0.39%
  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%