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standard NT with 5 card Major and no 7+ minor and no 2 non stop doubletons 15 to 17 HCP

total time is    180 seconds 
First hand parameters
inclusive conditions
HCP   15 to HCP 17 ... 15. NT with 5 card Major and no two nonstop doubletons 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 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 3873038        number of failure to find 1st hand is 7962
average number of try to get 1st hand is   16.635    percent for 1st hands is   6.011%
number of 2nd hand found is 3873038   number of failure to find 2nd hand is 3873038
average number of try to get 2nd hand is    1.000            percent for 2nd hands is 100.000%
number of 3rd hand found is 3873038    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  16.635
percent for all three hands is                   6.011%

1st hand HCP   statistic
total sum is  64429590 
HCP  0 =   233883   0.36% HCP  1 =   507903   0.79% HCP  2 =   873342   1.36% HCP  3 =  1584420   2.46% 
HCP  4 =  2478594   3.85% HCP  5 =  3338340   5.18% HCP  6 =  4225376   6.56% HCP  7 =  5169192   8.02% 
HCP  8 =  5729875   8.89% HCP  9 =  6027092   9.35% HCP 10 =  6057173   9.40% HCP 11 =  5766817   8.95% 
HCP 12 =  5169657   8.02% HCP 13 =  4457880   6.92% HCP 14 =  3669520   5.70% HCP 15 =  2851431   4.43% 
HCP 16 =  2132739   3.31% HCP 17 =  1524039   2.37% HCP 18 =  1034651   1.61% HCP 19 =   667050   1.04% 
HCP 20 =   414928   0.64% HCP 21 =   243582   0.38% HCP 22 =   135253   0.21% HCP 23 =    71811   0.11% 
HCP 24 =    35797   0.06% HCP 25 =    16839   0.03% HCP 26 =     7521   0.01% HCP 27 =     3089   0.00% 
HCP 28 =     1203   0.00% HCP 29 =      400   0.00% HCP 30 =      149   0.00% HCP 31 =       28   0.00% 
HCP 32 =       14   0.00% HCP 33 =        2   0.00% HCP 34 =        0   0.00% HCP 35 =        0   0.00% 
2nd hand HCP   statistic
total sum is   3873038 
HCP  0 =    30519   0.79% HCP  1 =    63107   1.63% HCP  2 =   103024   2.66% HCP  3 =   177042   4.57% 
HCP  4 =   257709   6.65% HCP  5 =   323707   8.36% HCP  6 =   377278   9.74% HCP  7 =   419678  10.84% 
HCP  8 =   422225  10.90% HCP  9 =   397725  10.27% HCP 10 =   352905   9.11% HCP 11 =   293012   7.57% 
HCP 12 =   225852   5.83% HCP 13 =   163740   4.23% HCP 14 =   111478   2.88% HCP 15 =    70225   1.81% 
HCP 16 =    41535   1.07% HCP 17 =    22561   0.58% HCP 18 =    11262   0.29% HCP 19 =     5259   0.14% 
HCP 20 =     2158   0.06% HCP 21 =      726   0.02% HCP 22 =      237   0.01% HCP 23 =       58   0.00% 
HCP 24 =       15   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% 
3rd hand HCP   statistic
total sum is   3873038 
HCP  0 =    30620   0.79% HCP  1 =    63407   1.64% HCP  2 =   103170   2.66% HCP  3 =   176555   4.56% 
HCP  4 =   258304   6.67% HCP  5 =   322755   8.33% HCP  6 =   378265   9.77% HCP  7 =   421721  10.89% 
HCP  8 =   420763  10.86% HCP  9 =   396873  10.25% HCP 10 =   352796   9.11% HCP 11 =   291704   7.53% 
HCP 12 =   225288   5.82% HCP 13 =   164400   4.24% HCP 14 =   111684   2.88% HCP 15 =    70084   1.81% 
HCP 16 =    41906   1.08% HCP 17 =    22851   0.59% HCP 18 =    11360   0.29% HCP 19 =     5284   0.14% 
HCP 20 =     2180   0.06% HCP 21 =      781   0.02% HCP 22 =      227   0.01% HCP 23 =       46   0.00% 
HCP 24 =       14   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% 
 Combine North and South hand statistic 

** spade high card point    average HCP is  5.948 
  0 =   1.82%   1.82%    1 =   2.69%   4.51%    2 =   3.48%   8.00%    3 =   8.96%  16.95%    4 =  11.60%  28.55%  
  5 =  13.39%  41.94%    6 =  14.37%  56.32%    7 =  16.91%  73.23%    8 =   8.82%  82.04%    9 =   9.75%  91.79%  
 10 =   8.21% 100.00%  

** heart high card point    average HCP is  5.946 
  0 =   1.83%   1.83%    1 =   2.68%   4.51%    2 =   3.47%   7.99%    3 =   8.94%  16.92%    4 =  11.60%  28.52%  
  5 =  13.46%  41.99%    6 =  14.40%  56.39%    7 =  16.90%  73.29%    8 =   8.79%  82.08%    9 =   9.75%  91.83%  
 10 =   8.17% 100.00%  

** diamond high card point    average HCP is  5.988 
  0 =   1.78%   1.78%    1 =   2.62%   4.40%    2 =   3.42%   7.82%    3 =   8.78%  16.60%    4 =  11.38%  27.98%  
  5 =  13.29%  41.27%    6 =  14.39%  55.66%    7 =  16.98%  72.64%    8 =   8.95%  81.58%    9 =   9.89%  91.47%  
 10 =   8.53% 100.00%  

** club high card point    average HCP is  5.987 
  0 =   1.78%   1.78%    1 =   2.61%   4.39%    2 =   3.41%   7.80%    3 =   8.78%  16.58%    4 =  11.40%  27.98%  
  5 =  13.32%  41.31%    6 =  14.41%  55.72%    7 =  16.92%  72.64%    8 =   8.94%  81.57%    9 =   9.91%  91.48%  
 10 =   8.52% 100.00%  

** space suit length    average length is  6.477 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.12%   0.12%    3 =   1.37%   1.49%    4 =   6.52%   8.02%  
  5 =  16.82%  24.83%    6 =  26.14%  50.97%    7 =  25.51%  76.48%    8 =  15.75%  92.24%    9 =   6.11%  98.35%  
 10 =   1.44%  99.79%   11 =   0.19%  99.99%   12 =   0.01% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  6.475 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.12%   0.12%    3 =   1.38%   1.50%    4 =   6.55%   8.05%  
  5 =  16.85%  24.89%    6 =  26.15%  51.04%    7 =  25.44%  76.48%    8 =  15.78%  92.26%    9 =   6.11%  98.37%  
 10 =   1.42%  99.79%   11 =   0.19%  99.99%   12 =   0.01% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  6.524 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.12%   0.12%    3 =   1.32%   1.43%    4 =   6.29%   7.73%  
  5 =  16.37%  24.10%    6 =  25.67%  49.77%    7 =  25.45%  75.22%    8 =  16.24%  91.46%    9 =   6.61%  98.07%  
 10 =   1.67%  99.74%   11 =   0.24%  99.98%   12 =   0.02% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  6.524 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.11%   0.11%    3 =   1.31%   1.42%    4 =   6.31%   7.73%  
  5 =  16.35%  24.08%    6 =  25.71%  49.80%    7 =  25.44%  75.24%    8 =  16.21%  91.45%    9 =   6.62%  98.07%  
 10 =   1.67%  99.74%   11 =   0.24%  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 =    11389 
16 =    34112 17 =    69890 18 =   121683 19 =   190383 20 =   265515 21 =   331783 22 =   387718 23 =   416006 
24 =   417242 25 =   389318 26 =   343536 27 =   281463 28 =   214781 29 =   154699 30 =   104070 31 =    64534 
32 =    37542 33 =    20408 34 =     9950 35 =     4489 36 =     1723 37 =      602 38 =      160 39 =       68 
40 =       10 
 total count is 3873074 

 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 =   0.29% 
16 =   0.88% 17 =   1.80% 18 =   3.14% 19 =   4.92% 20 =   6.86% 21 =   8.57% 22 =  10.01% 23 =  10.74% 
24 =  10.77% 25 =  10.05% 26 =   8.87% 27 =   7.27% 28 =   5.55% 29 =   3.99% 30 =   2.69% 31 =   1.67% 
32 =   0.97% 33 =   0.53% 34 =   0.26% 35 =   0.12% 36 =   0.04% 37 =   0.02% 38 =   0.00% 39 =   0.00% 
40 =   0.00% 
 average HCP is   23.871 

 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 =   0.29% 
16 =   1.17% 17 =   2.98% 18 =   6.12% 19 =  11.04% 20 =  17.89% 21 =  26.46% 22 =  36.47% 23 =  47.21% 
24 =  57.98% 25 =  68.03% 26 =  76.90% 27 =  84.17% 28 =  89.72% 29 =  93.71% 30 =  96.40% 31 =  98.06% 
32 =  99.03% 33 =  99.56% 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  3.923 
  0 =  10.06%  10.06%    1 =   5.77%  15.84%    2 =   8.61%  24.45%    3 =  16.38%  40.83%    4 =  22.54%  63.37%  
  5 =  12.28%  75.65%    6 =   9.10%  84.76%    7 =  10.72%  95.48%    8 =   2.06%  97.54%    9 =   2.16%  99.70%  
 10 =   0.30% 100.00%  

** heart high card point    average HCP is  3.921 
  0 =  10.07%  10.07%    1 =   5.76%  15.83%    2 =   8.61%  24.44%    3 =  16.41%  40.85%    4 =  22.59%  63.43%  
  5 =  12.31%  75.75%    6 =   9.09%  84.84%    7 =  10.66%  95.50%    8 =   2.03%  97.53%    9 =   2.16%  99.69%  
 10 =   0.31% 100.00%  

** diamond high card point    average HCP is  3.982 
  0 =   9.79%   9.79%    1 =   5.67%  15.46%    2 =   8.47%  23.93%    3 =  16.10%  40.04%    4 =  22.18%  62.22%  
  5 =  12.40%  74.62%    6 =   9.31%  83.93%    7 =  11.04%  94.97%    8 =   2.25%  97.22%    9 =   2.38%  99.60%  
 10 =   0.40% 100.00%  

** club high card point    average HCP is  3.981 
  0 =   9.81%   9.81%    1 =   5.65%  15.46%    2 =   8.46%  23.92%    3 =  16.14%  40.05%    4 =  22.19%  62.24%  
  5 =  12.40%  74.65%    6 =   9.31%  83.96%    7 =  11.02%  94.98%    8 =   2.26%  97.23%    9 =   2.37%  99.60%  
 10 =   0.40% 100.00%  

** space suit length    average length is  3.215 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  25.87%  25.87%    3 =  37.12%  62.99%    4 =  26.65%  89.64%  
  5 =  10.36% 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  3.213 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  25.93%  25.93%    3 =  37.13%  63.06%    4 =  26.61%  89.67%  
  5 =  10.33% 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  3.286 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  24.61%  24.61%    3 =  36.49%  61.10%    4 =  26.59%  87.69%  
  5 =  10.31%  97.99%    6 =   2.01% 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  3.285 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  24.64%  24.64%    3 =  36.47%  61.11%    4 =  26.60%  87.71%  
  5 =  10.28%  97.99%    6 =   2.01% 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 =  1673847 
16 =  1272268 17 =   926923 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 3873038 

 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 =  43.22% 
16 =  32.85% 17 =  23.93% 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 15.807 

 0 =   0.00%  1 =   0.00%  2 =   0.00%  3 =   0.00%  4 =   0.00%  5 =   0.00%  6 =   0.00%  7 =   0.00% 
 8 =   0.00%  9 =   0.00% 10 =   0.00% 11 =   0.00% 12 =   0.00% 13 =   0.00% 14 =   0.00% 15 =  43.22% 
16 =  76.07% 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 =  1421978   5332 =  1016830   5431 =        0   5422 =   581998   4333 =   696860   6322 =   155372 
  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 3873038 

  4432 =    36.71%  5332 =    26.25%  5431 =     0.00%  5422 =    15.03%  4333 =    17.99%  6322 =     4.01%
  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  2.025 
  0 =  36.17%  36.17%    1 =  13.03%  49.20%    2 =  11.89%  61.09%    3 =  14.23%  75.31%    4 =  12.25%  87.56%  
  5 =   5.70%  93.26%    6 =   3.19%  96.45%    7 =   2.56%  99.01%    8 =   0.50%  99.51%    9 =   0.40%  99.91%  
 10 =   0.09% 100.00%  

** heart high card point    average HCP is  2.026 
  0 =  36.14%  36.14%    1 =  13.06%  49.20%    2 =  11.88%  61.08%    3 =  14.24%  75.32%    4 =  12.24%  87.56%  
  5 =   5.69%  93.25%    6 =   3.19%  96.44%    7 =   2.57%  99.01%    8 =   0.50%  99.51%    9 =   0.40%  99.91%  
 10 =   0.09% 100.00%  

** diamond high card point    average HCP is  2.006 
  0 =  36.57%  36.57%    1 =  13.01%  49.58%    2 =  11.86%  61.44%    3 =  14.19%  75.63%    4 =  12.18%  87.80%  
  5 =   5.59%  93.39%    6 =   3.13%  96.53%    7 =   2.50%  99.03%    8 =   0.49%  99.52%    9 =   0.40%  99.92%  
 10 =   0.08% 100.00%  

** club high card point    average HCP is  2.006 
  0 =  36.58%  36.58%    1 =  13.02%  49.60%    2 =  11.86%  61.46%    3 =  14.15%  75.61%    4 =  12.15%  87.76%  
  5 =   5.62%  93.37%    6 =   3.14%  96.51%    7 =   2.51%  99.02%    8 =   0.49%  99.51%    9 =   0.40%  99.91%  
 10 =   0.09% 100.00%  

** space suit length    average length is  3.262 
  0 =   1.08%   1.08%    1 =   7.42%   8.50%    2 =  20.34%  28.84%    3 =  29.35%  58.19%    4 =  24.61%  82.80%  
  5 =  12.49%  95.29%    6 =   3.89%  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%  

**  heart suit length    average length is  3.262 
  0 =   1.09%   1.09%    1 =   7.42%   8.50%    2 =  20.37%  28.87%    3 =  29.35%  58.23%    4 =  24.57%  82.80%  
  5 =  12.47%  95.27%    6 =   3.91%  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%  

**  diamond suit length    average length is  3.238 
  0 =   1.15%   1.15%    1 =   7.70%   8.86%    2 =  20.71%  29.56%    3 =  29.36%  58.92%    4 =  24.25%  83.17%  
  5 =  12.25%  95.42%    6 =   3.79%  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%  

**  club suit length    average length is  3.238 
  0 =   1.16%   1.16%    1 =   7.70%   8.86%    2 =  20.67%  29.53%    3 =  29.35%  58.88%    4 =  24.29%  83.17%  
  5 =  12.26%  95.43%    6 =   3.78%  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 =    30519  1 =    63107  2 =   103024  3 =   177042  4 =   257709  5 =   323707  6 =   377278  7 =   419678 
 8 =   422225  9 =   397725 10 =   352905 11 =   293012 12 =   225852 13 =   163740 14 =   111478 15 =    70225 
16 =    41535 17 =    22561 18 =    11262 19 =     5259 20 =     2158 21 =      726 22 =      237 23 =       58 
24 =       15 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 3873038 

 0 =   0.79%  1 =   1.63%  2 =   2.66%  3 =   4.57%  4 =   6.65%  5 =   8.36%  6 =   9.74%  7 =  10.84% 
 8 =  10.90%  9 =  10.27% 10 =   9.11% 11 =   7.57% 12 =   5.83% 13 =   4.23% 14 =   2.88% 15 =   1.81% 
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  8.063 

 0 =   0.79%  1 =   2.42%  2 =   5.08%  3 =   9.65%  4 =  16.30%  5 =  24.66%  6 =  34.40%  7 =  45.24% 
 8 =  56.14%  9 =  66.41% 10 =  75.52% 11 =  83.09% 12 =  88.92% 13 =  93.14% 14 =  96.02% 15 =  97.84% 
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 =   878941   5332 =   618081   5431 =   495674   5422 =   412546   4333 =   439071   6322 =   208432 
  6421 =   166878   6331 =   124982   5521 =   116040   4441 =   117435   7321 =    60630   6430 =    45608 
  5440 =    45399   5530 =    31889   6511 =    23524   6520 =    21477   7222 =    16835   7411 =    11900 
  7420 =    11029   7330 =     8299   8221 =     5091   8311 =     3121   8320 =     2779   7510 =     3116 
  6610 =     2089   8410 =     1190   9211 =      354   9310 =      169   9220 =      183   7600 =      155 
  8500 =       76  10210 =       15   9400 =       22  10111 =        4  10300 =        4  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 3873038 

  4432 =    22.69%  5332 =    15.96%  5431 =    12.80%  5422 =    10.65%  4333 =    11.34%  6322 =     5.38%
  6421 =     4.31%  6331 =     3.23%  5521 =     3.00%  4441 =     3.03%  7321 =     1.57%  6430 =     1.18%
  5440 =     1.17%  5530 =     0.82%  6511 =     0.61%  6520 =     0.55%  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  2.027 
  0 =  36.15%  36.15%    1 =  13.03%  49.18%    2 =  11.89%  61.07%    3 =  14.22%  75.29%    4 =  12.24%  87.54%  
  5 =   5.70%  93.23%    6 =   3.20%  96.43%    7 =   2.58%  99.01%    8 =   0.50%  99.50%    9 =   0.41%  99.91%  
 10 =   0.09% 100.00%  

** heart high card point    average HCP is  2.025 
  0 =  36.16%  36.16%    1 =  13.03%  49.19%    2 =  11.89%  61.07%    3 =  14.23%  75.30%    4 =  12.27%  87.57%  
  5 =   5.70%  93.27%    6 =   3.19%  96.46%    7 =   2.55%  99.01%    8 =   0.49%  99.51%    9 =   0.41%  99.91%  
 10 =   0.09% 100.00%  

** diamond high card point    average HCP is  2.005 
  0 =  36.60%  36.60%    1 =  13.02%  49.62%    2 =  11.86%  61.49%    3 =  14.14%  75.63%    4 =  12.14%  87.77%  
  5 =   5.60%  93.37%    6 =   3.14%  96.51%    7 =   2.51%  99.03%    8 =   0.49%  99.52%    9 =   0.40%  99.92%  
 10 =   0.08% 100.00%  

** club high card point    average HCP is  2.005 
  0 =  36.61%  36.61%    1 =  13.01%  49.62%    2 =  11.85%  61.47%    3 =  14.12%  75.60%    4 =  12.19%  87.79%  
  5 =   5.59%  93.38%    6 =   3.15%  96.52%    7 =   2.51%  99.04%    8 =   0.48%  99.52%    9 =   0.39%  99.91%  
 10 =   0.09% 100.00%  

** space suit length    average length is  3.262 
  0 =   1.08%   1.08%    1 =   7.43%   8.51%    2 =  20.32%  28.83%    3 =  29.41%  58.24%    4 =  24.59%  82.83%  
  5 =  12.46%  95.28%    6 =   3.89%  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  3.262 
  0 =   1.08%   1.08%    1 =   7.43%   8.51%    2 =  20.34%  28.85%    3 =  29.35%  58.19%    4 =  24.58%  82.77%  
  5 =  12.52%  95.29%    6 =   3.90%  99.19%    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%  

**  diamond suit length    average length is  3.239 
  0 =   1.17%   1.17%    1 =   7.72%   8.89%    2 =  20.68%  29.57%    3 =  29.28%  58.85%    4 =  24.29%  83.14%  
  5 =  12.27%  95.41%    6 =   3.79%  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 =   7.72%   8.89%    2 =  20.66%  29.56%    3 =  29.34%  58.90%    4 =  24.28%  83.17%  
  5 =  12.24%  95.41%    6 =   3.80%  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 =    30620  1 =    63407  2 =   103170  3 =   176555  4 =   258304  5 =   322755  6 =   378265  7 =   421721 
 8 =   420763  9 =   396873 10 =   352796 11 =   291704 12 =   225288 13 =   164400 14 =   111684 15 =    70084 
16 =    41906 17 =    22851 18 =    11360 19 =     5284 20 =     2180 21 =      781 22 =      227 23 =       46 
24 =       14 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 3873038 

 0 =   0.79%  1 =   1.64%  2 =   2.66%  3 =   4.56%  4 =   6.67%  5 =   8.33%  6 =   9.77%  7 =  10.89% 
 8 =  10.86%  9 =  10.25% 10 =   9.11% 11 =   7.53% 12 =   5.82% 13 =   4.24% 14 =   2.88% 15 =   1.81% 
16 =   1.08% 17 =   0.59% 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  8.063 

 0 =   0.79%  1 =   2.43%  2 =   5.09%  3 =   9.65%  4 =  16.32%  5 =  24.65%  6 =  34.42%  7 =  45.31% 
 8 =  56.17%  9 =  66.42% 10 =  75.53% 11 =  83.06% 12 =  88.88% 13 =  93.12% 14 =  96.00% 15 =  97.81% 
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 =   878777   5332 =   617651   5431 =   496030   5422 =   411715   4333 =   438848   6322 =   207785 
  6421 =   167040   6331 =   125600   5521 =   116531   4441 =   117606   7321 =    60447   6430 =    45652 
  5440 =    45730   5530 =    31810   6511 =    23619   6520 =    21641   7222 =    16714   7411 =    12128 
  7420 =    10997   7330 =     8208   8221 =     5105   8311 =     3180   8320 =     2822   7510 =     3127 
  6610 =     2133   8410 =     1172   9211 =      343   9310 =      184   9220 =      155   7600 =      174 
  8500 =       74  10210 =       11   9400 =       22  10111 =        6  10300 =        1  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 3873038 

  4432 =    22.69%  5332 =    15.95%  5431 =    12.81%  5422 =    10.63%  4333 =    11.33%  6322 =     5.36%
  6421 =     4.31%  6331 =     3.24%  5521 =     3.01%  4441 =     3.04%  7321 =     1.56%  6430 =     1.18%
  5440 =     1.18%  5530 =     0.82%  6511 =     0.61%  6520 =     0.56%  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 =     0.06%  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 =  36.21%  36.21%    1 =  13.00%  49.20%    2 =  11.87%  61.08%    3 =  14.25%  75.33%    4 =  12.25%  87.57%  
  5 =   5.68%  93.26%    6 =   3.19%  96.45%    7 =   2.56%  99.01%    8 =   0.50%  99.51%    9 =   0.41%  99.91%  
 10 =   0.09% 100.00%  

** heart high card point    average HCP is  2.028 
  0 =  36.06%  36.06%    1 =  13.07%  49.14%    2 =  11.90%  61.03%    3 =  14.25%  75.28%    4 =  12.28%  87.56%  
  5 =   5.68%  93.24%    6 =   3.19%  96.44%    7 =   2.57%  99.01%    8 =   0.49%  99.50%    9 =   0.41%  99.91%  
 10 =   0.09% 100.00%  

** diamond high card point    average HCP is  2.006 
  0 =  36.57%  36.57%    1 =  13.02%  49.58%    2 =  11.87%  61.45%    3 =  14.16%  75.61%    4 =  12.18%  87.79%  
  5 =   5.59%  93.38%    6 =   3.13%  96.51%    7 =   2.52%  99.03%    8 =   0.48%  99.52%    9 =   0.40%  99.91%  
 10 =   0.09% 100.00%  

** club high card point    average HCP is  2.007 
  0 =  36.57%  36.57%    1 =  13.01%  49.57%    2 =  11.85%  61.42%    3 =  14.17%  75.59%    4 =  12.19%  87.78%  
  5 =   5.60%  93.38%    6 =   3.14%  96.52%    7 =   2.51%  99.03%    8 =   0.49%  99.52%    9 =   0.40%  99.92%  
 10 =   0.08% 100.00%  

** space suit length    average length is  3.261 
  0 =   1.09%   1.09%    1 =   7.44%   8.53%    2 =  20.34%  28.86%    3 =  29.37%  58.23%    4 =  24.55%  82.78%  
  5 =  12.51%  95.29%    6 =   3.89%  99.18%    7 =   0.73%  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  3.263 
  0 =   1.08%   1.08%    1 =   7.41%   8.49%    2 =  20.37%  28.86%    3 =  29.31%  58.17%    4 =  24.58%  82.75%  
  5 =  12.52%  95.27%    6 =   3.91%  99.18%    7 =   0.74%  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%  

**  diamond suit length    average length is  3.237 
  0 =   1.16%   1.16%    1 =   7.72%   8.88%    2 =  20.71%  29.60%    3 =  29.30%  58.90%    4 =  24.28%  83.18%  
  5 =  12.24%  95.42%    6 =   3.79%  99.21%    7 =   0.71%  99.92%    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  3.238 
  0 =   1.17%   1.17%    1 =   7.71%   8.88%    2 =  20.67%  29.55%    3 =  29.30%  58.85%    4 =  24.31%  83.17%  
  5 =  12.26%  95.42%    6 =   3.79%  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 =    30851  1 =    63141  2 =   103107  3 =   176073  4 =   257579  5 =   323462  6 =   376102  7 =   420783 
 8 =   421544  9 =   397656 10 =   353190 11 =   292689 12 =   226053 13 =   164239 14 =   112515 15 =    70539 
16 =    41488 17 =    22518 18 =    11217 19 =     5036 20 =     2191 21 =      759 22 =      225 23 =       69 
24 =       12 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 3873038 

 0 =   0.80%  1 =   1.63%  2 =   2.66%  3 =   4.55%  4 =   6.65%  5 =   8.35%  6 =   9.71%  7 =  10.86% 
 8 =  10.88%  9 =  10.27% 10 =   9.12% 11 =   7.56% 12 =   5.84% 13 =   4.24% 14 =   2.91% 15 =   1.82% 
16 =   1.07% 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 =   2.43%  2 =   5.09%  3 =   9.64%  4 =  16.29%  5 =  24.64%  6 =  34.35%  7 =  45.21% 
 8 =  56.10%  9 =  66.36% 10 =  75.48% 11 =  83.04% 12 =  88.88% 13 =  93.12% 14 =  96.02% 15 =  97.84% 
16 =  98.91% 17 =  99.50% 18 =  99.79% 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 =   877529   5332 =   617586   5431 =   496037   5422 =   413409   4333 =   438605   6322 =   208320 
  6421 =   167150   6331 =   124529   5521 =   116806   4441 =   117656   7321 =    60654   6430 =    45800 
  5440 =    45642   5530 =    31854   6511 =    23644   6520 =    21422   7222 =    16624   7411 =    12020 
  7420 =    11233   7330 =     8214   8221 =     5200   8311 =     3011   8320 =     2723   7510 =     3157 
  6610 =     2157   8410 =     1095   9211 =      349   9310 =      174   9220 =      146   7600 =      171 
  8500 =       75  10210 =       13   9400 =       26  10111 =        4  10300 =        3  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 3873038 

  4432 =    22.66%  5332 =    15.95%  5431 =    12.81%  5422 =    10.67%  4333 =    11.32%  6322 =     5.38%
  6421 =     4.32%  6331 =     3.22%  5521 =     3.02%  4441 =     3.04%  7321 =     1.57%  6430 =     1.18%
  5440 =     1.18%  5530 =     0.82%  6511 =     0.61%  6520 =     0.55%  7222 =     0.43%  7411 =     0.31%
  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%