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total time is    575 seconds 
First hand parameters
inclusive conditions
HCP   15 to HCP 17 ... 1.NT no 5+ Major 
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 9933875        number of failure to find 1st hand is 66125
average number of try to get 1st hand is   20.435    percent for 1st hands is   4.893%
number of 2nd hand found is 9933875   number of failure to find 2nd hand is 9933875
average number of try to get 2nd hand is    1.000            percent for 2nd hands is 100.000%
number of 3rd hand found is 9933875    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  20.435
percent for all three hands is                   4.893%

1st hand HCP   statistic
total sum is 203002564 
HCP  0 =   738566   0.36% HCP  1 =  1602758   0.79% HCP  2 =  2750535   1.35% HCP  3 =  4995087   2.46% 
HCP  4 =  7803169   3.84% HCP  5 = 10523579   5.18% HCP  6 = 13307932   6.56% HCP  7 = 16289956   8.02% 
HCP  8 = 18050075   8.89% HCP  9 = 18992605   9.36% HCP 10 = 19095821   9.41% HCP 11 = 18155838   8.94% 
HCP 12 = 16292378   8.03% HCP 13 = 14041222   6.92% HCP 14 = 11558497   5.69% HCP 15 =  8982488   4.42% 
HCP 16 =  6724872   3.31% HCP 17 =  4795955   2.36% HCP 18 =  3259583   1.61% HCP 19 =  2105027   1.04% 
HCP 20 =  1308002   0.64% HCP 21 =   767855   0.38% HCP 22 =   427873   0.21% HCP 23 =   226296   0.11% 
HCP 24 =   113905   0.06% HCP 25 =    53510   0.03% HCP 26 =    23516   0.01% HCP 27 =     9922   0.00% 
HCP 28 =     3785   0.00% HCP 29 =     1367   0.00% HCP 30 =      431   0.00% HCP 31 =      120   0.00% 
HCP 32 =       32   0.00% HCP 33 =        6   0.00% HCP 34 =        1   0.00% HCP 35 =        0   0.00% 
2nd hand HCP   statistic
total sum is   9933875 
HCP  0 =    79400   0.80% HCP  1 =   162610   1.64% HCP  2 =   264103   2.66% HCP  3 =   451308   4.54% 
HCP  4 =   662904   6.67% HCP  5 =   829255   8.35% HCP  6 =   963610   9.70% HCP  7 =  1078415  10.86% 
HCP  8 =  1082056  10.89% HCP  9 =  1017353  10.24% HCP 10 =   905830   9.12% HCP 11 =   752542   7.58% 
HCP 12 =   579472   5.83% HCP 13 =   420902   4.24% HCP 14 =   287968   2.90% HCP 15 =   180230   1.81% 
HCP 16 =   107023   1.08% HCP 17 =    57927   0.58% HCP 18 =    29368   0.30% HCP 19 =    13383   0.13% 
HCP 20 =     5445   0.05% HCP 21 =     1947   0.02% HCP 22 =      618   0.01% HCP 23 =      179   0.00% 
HCP 24 =       25   0.00% HCP 25 =        2   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   9933875 
HCP  0 =    79611   0.80% HCP  1 =   162465   1.64% HCP  2 =   263888   2.66% HCP  3 =   451492   4.54% 
HCP  4 =   662689   6.67% HCP  5 =   828122   8.34% HCP  6 =   965597   9.72% HCP  7 =  1078156  10.85% 
HCP  8 =  1083453  10.91% HCP  9 =  1018819  10.26% HCP 10 =   904955   9.11% HCP 11 =   749921   7.55% 
HCP 12 =   579003   5.83% HCP 13 =   421615   4.24% HCP 14 =   286652   2.89% HCP 15 =   181432   1.83% 
HCP 16 =   107299   1.08% HCP 17 =    58082   0.58% HCP 18 =    29154   0.29% HCP 19 =    13234   0.13% 
HCP 20 =     5499   0.06% HCP 21 =     1984   0.02% HCP 22 =      548   0.01% HCP 23 =      158   0.00% 
HCP 24 =       45   0.00% HCP 25 =        2   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  5.831 
  0 =   2.03%   2.03%    1 =   2.94%   4.98%    2 =   3.84%   8.82%    3 =   9.40%  18.21%    4 =  11.96%  30.18%  
  5 =  13.63%  43.81%    6 =  14.35%  58.17%    7 =  16.67%  74.84%    8 =   8.44%  83.28%    9 =   9.35%  92.63%  
 10 =   7.37% 100.00%  

** heart high card point    average HCP is  5.829 
  0 =   2.04%   2.04%    1 =   2.95%   4.99%    2 =   3.84%   8.83%    3 =   9.42%  18.24%    4 =  11.95%  30.19%  
  5 =  13.64%  43.84%    6 =  14.36%  58.20%    7 =  16.64%  74.84%    8 =   8.43%  83.27%    9 =   9.36%  92.63%  
 10 =   7.37% 100.00%  

** diamond high card point    average HCP is  6.104 
  0 =   1.61%   1.61%    1 =   2.47%   4.08%    2 =   3.25%   7.33%    3 =   8.30%  15.63%    4 =  10.74%  26.37%  
  5 =  12.94%  39.31%    6 =  14.43%  53.74%    7 =  17.08%  70.82%    8 =   9.30%  80.12%    9 =  10.44%  90.55%  
 10 =   9.45% 100.00%  

** club high card point    average HCP is  6.104 
  0 =   1.62%   1.62%    1 =   2.46%   4.08%    2 =   3.25%   7.33%    3 =   8.31%  15.64%    4 =  10.75%  26.39%  
  5 =  12.93%  39.32%    6 =  14.44%  53.75%    7 =  17.07%  70.82%    8 =   9.30%  80.12%    9 =  10.44%  90.56%  
 10 =   9.44% 100.00%  

** space suit length    average length is  6.360 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.13%   0.13%    3 =   1.48%   1.61%    4 =   7.07%   8.68%  
  5 =  18.20%  26.88%    6 =  27.49%  54.37%    7 =  25.24%  79.62%    8 =  14.31%  93.92%    9 =   4.94%  98.87%  
 10 =   1.01%  99.88%   11 =   0.11%  99.99%   12 =   0.01% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  6.359 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.13%   0.13%    3 =   1.48%   1.61%    4 =   7.10%   8.70%  
  5 =  18.22%  26.92%    6 =  27.45%  54.38%    7 =  25.28%  79.65%    8 =  14.28%  93.94%    9 =   4.94%  98.88%  
 10 =   1.01%  99.88%   11 =   0.11%  99.99%   12 =   0.01% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  6.641 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.09%   0.09%    3 =   1.09%   1.19%    4 =   5.46%   6.65%  
  5 =  14.95%  21.60%    6 =  24.84%  46.43%    7 =  26.09%  72.53%    8 =  17.60%  90.12%    9 =   7.55%  97.68%  
 10 =   1.99%  99.67%   11 =   0.31%  99.98%   12 =   0.02% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  6.640 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.09%   0.09%    3 =   1.09%   1.18%    4 =   5.47%   6.65%  
  5 =  14.97%  21.62%    6 =  24.85%  46.47%    7 =  26.09%  72.56%    8 =  17.59%  90.15%    9 =   7.53%  97.68%  
 10 =   2.00%  99.67%   11 =   0.30%  99.97%   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 =    29589 
16 =    88732 17 =   179556 18 =   312390 19 =   489232 20 =   683178 21 =   852061 22 =   989908 23 =  1067863 
24 =  1070165 25 =   998996 26 =   877094 27 =   720288 28 =   550589 29 =   398604 30 =   266948 31 =   166572 
32 =    96692 33 =    52184 34 =    25419 35 =    11222 36 =     4577 37 =     1421 38 =      471 39 =      113 
40 =       11 
 total count is 9933875 

 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 =   0.30% 
16 =   0.89% 17 =   1.81% 18 =   3.14% 19 =   4.92% 20 =   6.88% 21 =   8.58% 22 =   9.96% 23 =  10.75% 
24 =  10.77% 25 =  10.06% 26 =   8.83% 27 =   7.25% 28 =   5.54% 29 =   4.01% 30 =   2.69% 31 =   1.68% 
32 =   0.97% 33 =   0.53% 34 =   0.26% 35 =   0.11% 36 =   0.05% 37 =   0.01% 38 =   0.00% 39 =   0.00% 
40 =   0.00% 
 average HCP is   23.868 

 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 =   0.30% 
16 =   1.19% 17 =   3.00% 18 =   6.14% 19 =  11.07% 20 =  17.95% 21 =  26.52% 22 =  36.49% 23 =  47.24% 
24 =  58.01% 25 =  68.07% 26 =  76.90% 27 =  84.15% 28 =  89.69% 29 =  93.70% 30 =  96.39% 31 =  98.07% 
32 =  99.04% 33 =  99.56% 34 =  99.82% 35 =  99.93% 36 =  99.98% 37 =  99.99% 38 = 100.00% 39 = 100.00% 
40 = 100.00% 

**** total trick distribution 

  77 =  1334845   78 =   625214   79 =        0  710 =        0  711 =        0  712 =        0  713 =        0 
  87 =   637228   88 =  3014302   89 =  1081756  810 =   129412  811 =     4252  812 =        0  813 =        0 
  97 =        0   98 =  1163055   99 =   987899  910 =   248447  911 =    22213  912 =        0  913 =        0 
 107 =        0  108 =   171800  109 =   303260 1010 =   107636 1011 =    13101 1012 =        0 1013 =        0 
 117 =        0  118 =     9556  119 =    47424 1110 =    22858 1111 =     3388 1112 =        0 1113 =        0 
 127 =        0  128 =        0  129 =     3216 1210 =     2406 1211 =      424 1212 =        0 1213 =        0 
 137 =        0  138 =        0  139 =       62 1310 =      102 1311 =       19 1312 =        0 1313 =        0 
 total count is 9933875 

  77 =    13.44%  78 =     6.29%  79 =     0.00% 710 =     0.00% 711 =     0.00% 712 =     0.00% 713 =     0.00%
  87 =     6.41%  88 =    30.34%  89 =    10.89% 810 =     1.30% 811 =     0.04% 812 =     0.00% 813 =     0.00%
  97 =     0.00%  98 =    11.71%  99 =     9.94% 910 =     2.50% 911 =     0.22% 912 =     0.00% 913 =     0.00%
 107 =     0.00% 108 =     1.73% 109 =     3.05%1010 =     1.08%1011 =     0.13%1012 =     0.00%1013 =     0.00%
 117 =     0.00% 118 =     0.10% 119 =     0.48%1110 =     0.23%1111 =     0.03%1112 =     0.00%1113 =     0.00%
 127 =     0.00% 128 =     0.00% 129 =     0.03%1210 =     0.02%1211 =     0.00%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  3.745 
  0 =  11.20%  11.20%    1 =   6.30%  17.50%    2 =   9.47%  26.97%    3 =  16.72%  43.69%    4 =  22.80%  66.48%  
  5 =  11.80%  78.28%    6 =   8.44%  86.72%    7 =   9.89%  96.61%    8 =   1.59%  98.20%    9 =   1.66%  99.86%  
 10 =   0.14% 100.00%  

** heart high card point    average HCP is  3.744 
  0 =  11.22%  11.22%    1 =   6.30%  17.52%    2 =   9.45%  26.98%    3 =  16.74%  43.72%    4 =  22.76%  66.48%  
  5 =  11.80%  78.28%    6 =   8.44%  86.72%    7 =   9.90%  96.62%    8 =   1.57%  98.19%    9 =   1.67%  99.86%  
 10 =   0.14% 100.00%  

** diamond high card point    average HCP is  4.157 
  0 =   8.89%   8.89%    1 =   5.41%  14.30%    2 =   8.20%  22.50%    3 =  15.18%  37.68%    4 =  21.04%  58.72%  
  5 =  12.80%  71.52%    6 =   9.96%  81.48%    7 =  12.03%  93.51%    8 =   2.80%  96.31%    9 =   3.07%  99.38%  
 10 =   0.62% 100.00%  

** club high card point    average HCP is  4.156 
  0 =   8.91%   8.91%    1 =   5.42%  14.33%    2 =   8.20%  22.53%    3 =  15.17%  37.71%    4 =  21.03%  58.74%  
  5 =  12.79%  71.53%    6 =   9.96%  81.49%    7 =  12.02%  93.51%    8 =   2.79%  96.31%    9 =   3.07%  99.38%  
 10 =   0.62% 100.00%  

** space suit length    average length is  3.040 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  27.75%  27.75%    3 =  40.52%  68.27%    4 =  31.73% 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  3.040 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  27.74%  27.74%    3 =  40.53%  68.28%    4 =  31.72% 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  3.460 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  19.54%  19.54%    3 =  34.18%  53.71%    4 =  29.88%  83.59%  
  5 =  13.53%  97.13%    6 =   2.87% 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  3.460 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  19.53%  19.53%    3 =  34.21%  53.74%    4 =  29.86%  83.60%  
  5 =  13.53%  97.13%    6 =   2.87% 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 =  4323879 
16 =  3256091 17 =  2353905 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 9933875 

 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 =  43.53% 
16 =  32.78% 17 =  23.70% 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 15.802 

 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 =  43.53% 
16 =  76.30% 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 =  4476962   5332 =  1600889   5431 =        0   5422 =  1086788   4333 =  2198272   6322 =   570964 
  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 9933875 

  4432 =    45.07%  5332 =    16.12%  5431 =     0.00%  5422 =    10.94%  4333 =    22.13%  6322 =     5.75%
  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  2.086 
  0 =  35.05%  35.05%    1 =  13.01%  48.06%    2 =  11.83%  59.90%    3 =  14.42%  74.32%    4 =  12.57%  86.89%  
  5 =   5.91%  92.80%    6 =   3.35%  96.15%    7 =   2.75%  98.90%    8 =   0.55%  99.45%    9 =   0.45%  99.90%  
 10 =   0.10% 100.00%  

** heart high card point    average HCP is  2.085 
  0 =  35.07%  35.07%    1 =  12.99%  48.07%    2 =  11.85%  59.91%    3 =  14.42%  74.33%    4 =  12.57%  86.90%  
  5 =   5.90%  92.80%    6 =   3.34%  96.14%    7 =   2.76%  98.90%    8 =   0.55%  99.45%    9 =   0.45%  99.90%  
 10 =   0.10% 100.00%  

** diamond high card point    average HCP is  1.947 
  0 =  37.84%  37.84%    1 =  13.02%  50.85%    2 =  11.78%  62.63%    3 =  13.89%  76.52%    4 =  11.89%  88.41%  
  5 =   5.35%  93.76%    6 =   2.95%  96.71%    7 =   2.39%  99.10%    8 =   0.45%  99.55%    9 =   0.37%  99.92%  
 10 =   0.08% 100.00%  

** club high card point    average HCP is  1.948 
  0 =  37.79%  37.79%    1 =  13.03%  50.82%    2 =  11.77%  62.59%    3 =  13.92%  76.51%    4 =  11.91%  88.42%  
  5 =   5.34%  93.76%    6 =   2.95%  96.71%    7 =   2.39%  99.10%    8 =   0.46%  99.56%    9 =   0.37%  99.92%  
 10 =   0.08% 100.00%  

** space suit length    average length is  3.321 
  0 =   0.93%   0.93%    1 =   6.76%   7.69%    2 =  19.49%  27.18%    3 =  29.25%  56.43%    4 =  25.32%  81.76%  
  5 =  13.17%  94.93%    6 =   4.18%  99.11%    7 =   0.80%  99.91%    8 =   0.09%  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  3.319 
  0 =   0.94%   0.94%    1 =   6.78%   7.71%    2 =  19.49%  27.20%    3 =  29.26%  56.46%    4 =  25.30%  81.77%  
  5 =  13.18%  94.95%    6 =   4.17%  99.12%    7 =   0.79%  99.91%    8 =   0.09% 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  3.180 
  0 =   1.29%   1.29%    1 =   8.28%   9.57%    2 =  21.54%  31.11%    3 =  29.52%  60.63%    4 =  23.67%  84.29%  
  5 =  11.55%  95.85%    6 =   3.45%  99.30%    7 =   0.63%  99.93%    8 =   0.06% 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  3.180 
  0 =   1.28%   1.28%    1 =   8.31%   9.59%    2 =  21.53%  31.12%    3 =  29.54%  60.66%    4 =  23.65%  84.31%  
  5 =  11.53%  95.85%    6 =   3.46%  99.30%    7 =   0.63%  99.93%    8 =   0.07% 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 =    79400  1 =   162610  2 =   264103  3 =   451308  4 =   662904  5 =   829255  6 =   963610  7 =  1078415 
 8 =  1082056  9 =  1017353 10 =   905830 11 =   752542 12 =   579472 13 =   420902 14 =   287968 15 =   180230 
16 =   107023 17 =    57927 18 =    29368 19 =    13383 20 =     5445 21 =     1947 22 =      618 23 =      179 
24 =       25 25 =        2 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 9933875 

 0 =   0.80%  1 =   1.64%  2 =   2.66%  3 =   4.54%  4 =   6.67%  5 =   8.35%  6 =   9.70%  7 =  10.86% 
 8 =  10.89%  9 =  10.24% 10 =   9.12% 11 =   7.58% 12 =   5.83% 13 =   4.24% 14 =   2.90% 15 =   1.81% 
16 =   1.08% 17 =   0.58% 18 =   0.30% 19 =   0.13% 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  8.066 

 0 =   0.80%  1 =   2.44%  2 =   5.09%  3 =   9.64%  4 =  16.31%  5 =  24.66%  6 =  34.36%  7 =  45.22% 
 8 =  56.11%  9 =  66.35% 10 =  75.47% 11 =  83.04% 12 =  88.88% 13 =  93.11% 14 =  96.01% 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 =  2264875   5332 =  1587761   5431 =  1270606   5422 =  1058622   4333 =  1131750   6322 =   530822 
  6421 =   425664   6331 =   317861   5521 =   297192   4441 =   301721   7321 =   152713   6430 =   115518 
  5440 =   115946   5530 =    81369   6511 =    59866   6520 =    53985   7222 =    42483   7411 =    30695 
  7420 =    27667   7330 =    21035   8221 =    12724   8311 =     7657   8320 =     6928   7510 =     7807 
  6610 =     5453   8410 =     2783   9211 =      838   9310 =      472   9220 =      393   7600 =      383 
  8500 =      179  10210 =       38   9400 =       50  10111 =       16  10300 =        3  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 9933875 

  4432 =    22.80%  5332 =    15.98%  5431 =    12.79%  5422 =    10.66%  4333 =    11.39%  6322 =     5.34%
  6421 =     4.28%  6331 =     3.20%  5521 =     2.99%  4441 =     3.04%  7321 =     1.54%  6430 =     1.16%
  5440 =     1.17%  5530 =     0.82%  6511 =     0.60%  6520 =     0.54%  7222 =     0.43%  7411 =     0.31%
  7420 =     0.28%  7330 =     0.21%  8221 =     0.13%  8311 =     0.08%  8320 =     0.07%  7510 =     0.08%
  6610 =     0.05%  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  2.084 
  0 =  35.06%  35.06%    1 =  13.01%  48.08%    2 =  11.86%  59.94%    3 =  14.43%  74.36%    4 =  12.56%  86.92%  
  5 =   5.89%  92.81%    6 =   3.34%  96.15%    7 =   2.76%  98.91%    8 =   0.55%  99.46%    9 =   0.45%  99.90%  
 10 =   0.10% 100.00%  

** heart high card point    average HCP is  2.085 
  0 =  35.08%  35.08%    1 =  12.99%  48.08%    2 =  11.85%  59.92%    3 =  14.43%  74.35%    4 =  12.55%  86.90%  
  5 =   5.90%  92.80%    6 =   3.34%  96.14%    7 =   2.77%  98.90%    8 =   0.55%  99.45%    9 =   0.45%  99.90%  
 10 =   0.10% 100.00%  

** diamond high card point    average HCP is  1.949 
  0 =  37.79%  37.79%    1 =  13.04%  50.83%    2 =  11.76%  62.58%    3 =  13.91%  76.50%    4 =  11.91%  88.41%  
  5 =   5.35%  93.75%    6 =   2.94%  96.70%    7 =   2.39%  99.09%    8 =   0.46%  99.55%    9 =   0.37%  99.92%  
 10 =   0.08% 100.00%  

** club high card point    average HCP is  1.948 
  0 =  37.79%  37.79%    1 =  13.04%  50.83%    2 =  11.76%  62.60%    3 =  13.94%  76.53%    4 =  11.88%  88.42%  
  5 =   5.34%  93.76%    6 =   2.94%  96.70%    7 =   2.40%  99.10%    8 =   0.45%  99.55%    9 =   0.37%  99.92%  
 10 =   0.08% 100.00%  

** space suit length    average length is  3.320 
  0 =   0.93%   0.93%    1 =   6.78%   7.71%    2 =  19.49%  27.20%    3 =  29.25%  56.44%    4 =  25.32%  81.76%  
  5 =  13.19%  94.95%    6 =   4.16%  99.11%    7 =   0.80%  99.91%    8 =   0.09%  99.99%    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  3.320 
  0 =   0.93%   0.93%    1 =   6.78%   7.70%    2 =  19.50%  27.21%    3 =  29.25%  56.46%    4 =  25.30%  81.76%  
  5 =  13.18%  94.94%    6 =   4.18%  99.12%    7 =   0.79%  99.91%    8 =   0.09%  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  3.180 
  0 =   1.28%   1.28%    1 =   8.29%   9.57%    2 =  21.54%  31.11%    3 =  29.56%  60.67%    4 =  23.65%  84.32%  
  5 =  11.52%  95.84%    6 =   3.46%  99.30%    7 =   0.63%  99.93%    8 =   0.07% 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  3.180 
  0 =   1.28%   1.28%    1 =   8.29%   9.57%    2 =  21.54%  31.12%    3 =  29.53%  60.65%    4 =  23.65%  84.29%  
  5 =  11.54%  95.84%    6 =   3.47%  99.30%    7 =   0.63%  99.93%    8 =   0.07% 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 =    79611  1 =   162465  2 =   263888  3 =   451492  4 =   662689  5 =   828122  6 =   965597  7 =  1078156 
 8 =  1083453  9 =  1018819 10 =   904955 11 =   749921 12 =   579003 13 =   421615 14 =   286652 15 =   181432 
16 =   107299 17 =    58082 18 =    29154 19 =    13234 20 =     5499 21 =     1984 22 =      548 23 =      158 
24 =       45 25 =        2 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 9933875 

 0 =   0.80%  1 =   1.64%  2 =   2.66%  3 =   4.54%  4 =   6.67%  5 =   8.34%  6 =   9.72%  7 =  10.85% 
 8 =  10.91%  9 =  10.26% 10 =   9.11% 11 =   7.55% 12 =   5.83% 13 =   4.24% 14 =   2.89% 15 =   1.83% 
16 =   1.08% 17 =   0.58% 18 =   0.29% 19 =   0.13% 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 =   2.44%  2 =   5.09%  3 =   9.64%  4 =  16.31%  5 =  24.65%  6 =  34.37%  7 =  45.22% 
 8 =  56.13%  9 =  66.38% 10 =  75.49% 11 =  83.04% 12 =  88.87% 13 =  93.11% 14 =  96.00% 15 =  97.83% 
16 =  98.91% 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 =  2263259   5332 =  1588855   5431 =  1270431   5422 =  1058441   4333 =  1131452   6322 =   532980 
  6421 =   424909   6331 =   318367   5521 =   297084   4441 =   302395   7321 =   152863   6430 =   115091 
  5440 =   115346   5530 =    81038   6511 =    59583   6520 =    54029   7222 =    42604   7411 =    30818 
  7420 =    28100   7330 =    20505   8221 =    12831   8311 =     7693   8320 =     6932   7510 =     7780 
  6610 =     5307   8410 =     2871   9211 =      856   9310 =      459   9220 =      382   7600 =      351 
  8500 =      177  10210 =       35   9400 =       35  10111 =       11  10300 =        5  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 9933875 

  4432 =    22.78%  5332 =    15.99%  5431 =    12.79%  5422 =    10.65%  4333 =    11.39%  6322 =     5.37%
  6421 =     4.28%  6331 =     3.20%  5521 =     2.99%  4441 =     3.04%  7321 =     1.54%  6430 =     1.16%
  5440 =     1.16%  5530 =     0.82%  6511 =     0.60%  6520 =     0.54%  7222 =     0.43%  7411 =     0.31%
  7420 =     0.28%  7330 =     0.21%  8221 =     0.13%  8311 =     0.08%  8320 =     0.07%  7510 =     0.08%
  6610 =     0.05%  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  2.085 
  0 =  35.05%  35.05%    1 =  12.99%  48.04%    2 =  11.88%  59.92%    3 =  14.43%  74.35%    4 =  12.56%  86.91%  
  5 =   5.91%  92.82%    6 =   3.33%  96.14%    7 =   2.76%  98.90%    8 =   0.55%  99.45%    9 =   0.45%  99.90%  
 10 =   0.10% 100.00%  

** heart high card point    average HCP is  2.086 
  0 =  35.03%  35.03%    1 =  13.01%  48.03%    2 =  11.87%  59.90%    3 =  14.43%  74.33%    4 =  12.56%  86.89%  
  5 =   5.91%  92.81%    6 =   3.34%  96.15%    7 =   2.76%  98.91%    8 =   0.55%  99.45%    9 =   0.45%  99.90%  
 10 =   0.10% 100.00%  

** diamond high card point    average HCP is  1.947 
  0 =  37.82%  37.82%    1 =  13.03%  50.85%    2 =  11.76%  62.61%    3 =  13.92%  76.53%    4 =  11.90%  88.43%  
  5 =   5.35%  93.78%    6 =   2.94%  96.72%    7 =   2.38%  99.10%    8 =   0.45%  99.55%    9 =   0.37%  99.92%  
 10 =   0.08% 100.00%  

** club high card point    average HCP is  1.948 
  0 =  37.79%  37.79%    1 =  13.05%  50.84%    2 =  11.75%  62.59%    3 =  13.93%  76.52%    4 =  11.90%  88.42%  
  5 =   5.35%  93.77%    6 =   2.94%  96.71%    7 =   2.38%  99.09%    8 =   0.46%  99.55%    9 =   0.37%  99.92%  
 10 =   0.08% 100.00%  

** space suit length    average length is  3.320 
  0 =   0.93%   0.93%    1 =   6.77%   7.71%    2 =  19.50%  27.20%    3 =  29.25%  56.45%    4 =  25.32%  81.77%  
  5 =  13.17%  94.95%    6 =   4.17%  99.12%    7 =   0.79%  99.91%    8 =   0.09%  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  3.321 
  0 =   0.93%   0.93%    1 =   6.76%   7.70%    2 =  19.47%  27.17%    3 =  29.25%  56.41%    4 =  25.34%  81.75%  
  5 =  13.19%  94.94%    6 =   4.18%  99.12%    7 =   0.79%  99.91%    8 =   0.09%  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  3.179 
  0 =   1.29%   1.29%    1 =   8.30%   9.58%    2 =  21.55%  31.13%    3 =  29.52%  60.65%    4 =  23.67%  84.32%  
  5 =  11.53%  95.85%    6 =   3.45%  99.30%    7 =   0.63%  99.93%    8 =   0.07% 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  3.180 
  0 =   1.28%   1.28%    1 =   8.29%   9.57%    2 =  21.53%  31.10%    3 =  29.55%  60.65%    4 =  23.65%  84.31%  
  5 =  11.53%  95.84%    6 =   3.46%  99.30%    7 =   0.63%  99.93%    8 =   0.07% 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 =    79135  1 =   162130  2 =   264443  3 =   452028  4 =   662577  5 =   828562  6 =   964962  7 =  1078681 
 8 =  1082074  9 =  1018915 10 =   905583 11 =   749978 12 =   579271 13 =   421584 14 =   286836 15 =   181092 
16 =   106957 17 =    58030 18 =    29273 19 =    13529 20 =     5445 21 =     1988 22 =      622 23 =      151 
24 =       28 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 9933875 

 0 =   0.80%  1 =   1.63%  2 =   2.66%  3 =   4.55%  4 =   6.67%  5 =   8.34%  6 =   9.71%  7 =  10.86% 
 8 =  10.89%  9 =  10.26% 10 =   9.12% 11 =   7.55% 12 =   5.83% 13 =   4.24% 14 =   2.89% 15 =   1.82% 
16 =   1.08% 17 =   0.58% 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  8.066 

 0 =   0.80%  1 =   2.43%  2 =   5.09%  3 =   9.64%  4 =  16.31%  5 =  24.65%  6 =  34.37%  7 =  45.22% 
 8 =  56.12%  9 =  66.37% 10 =  75.49% 11 =  83.04% 12 =  88.87% 13 =  93.11% 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 =  2266533   5332 =  1587675   5431 =  1270970   5422 =  1058560   4333 =  1130593   6322 =   531588 
  6421 =   425368   6331 =   318254   5521 =   296463   4441 =   301714   7321 =   152391   6430 =   115959 
  5440 =   115960   5530 =    81137   6511 =    59912   6520 =    53773   7222 =    42153   7411 =    30362 
  7420 =    27827   7330 =    20784   8221 =    12672   8311 =     7611   8320 =     7061   7510 =     7856 
  6610 =     5496   8410 =     2798   9211 =      876   9310 =      526   9220 =      390   7600 =      358 
  8500 =      170  10210 =       33   9400 =       35  10111 =        9  10300 =        8  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 9933875 

  4432 =    22.82%  5332 =    15.98%  5431 =    12.79%  5422 =    10.66%  4333 =    11.38%  6322 =     5.35%
  6421 =     4.28%  6331 =     3.20%  5521 =     2.98%  4441 =     3.04%  7321 =     1.53%  6430 =     1.17%
  5440 =     1.17%  5530 =     0.82%  6511 =     0.60%  6520 =     0.54%  7222 =     0.42%  7411 =     0.31%
  7420 =     0.28%  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 =     0.01%  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%