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The simulation result is in West hand statistic ** spade high card point  in Bold 52.16%

total time is    10945 seconds 
First hand parameters
inclusive conditions
HCP    0 to HCP 37 ... spade suit length == 5 AND spade suit Hcp == 8
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 ... spade suit length == 4 AND spade suit Hcp == 0
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 ... spade suit length <= 2 
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
exclusive conditions
HCP    0 to HCP 37 ... spade suit length == 1 AND spade suit Hcp == 2
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 ... spade suit length <= 3 
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
HCP    0 to HCP  0 ... none
exclusive conditions
HCP    0 to HCP 37 ... spade suit length == 2 AND spade suit Hcp == 2
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 14884092        number of failure to find 1st hand is 35506908
average number of try to get 1st hand is   -2.414    percent for 1st hands is -41.425%
number of 2nd hand found is 969780   number of failure to find 2nd hand is 969780
average number of try to get 2nd hand is   15.348            percent for 2nd hands is   6.516%
number of 3rd hand found is 506243    number of failure to find 3rdd hand is 463537
average number of try to get 3rd hand is    1.916        percent for 3rd hands is  52.202%
average number of try to get all three hand is -70.974
percent for all three hands is                  -1.409%

1st hand HCP   statistic
total sum is 4259037250 
HCP  0 = 15488262   0.36% HCP  1 = 33562543   0.79% HCP  2 = 57728298   1.36% HCP  3 = 104850878   2.46% 
HCP  4 = 163699010   3.84% HCP  5 = 220799072   5.18% HCP  6 = 279115637   6.55% HCP  7 = 341871448   8.03% 
HCP  8 = 378697775   8.89% HCP  9 = 398445826   9.36% HCP 10 = 400622503   9.41% HCP 11 = 380995791   8.95% 
HCP 12 = 341873609   8.03% HCP 13 = 294519525   6.92% HCP 14 = 242488186   5.69% HCP 15 = 188457867   4.42% 
HCP 16 = 141076533   3.31% HCP 17 = 100644163   2.36% HCP 18 = 68389919   1.61% HCP 19 = 44136598   1.04% 
HCP 20 = 27414248   0.64% HCP 21 = 16100798   0.38% HCP 22 =  8951147   0.21% HCP 23 =  4770166   0.11% 
HCP 24 =  2383866   0.06% HCP 25 =  1126028   0.03% HCP 26 =   497491   0.01% HCP 27 =   209804   0.00% 
HCP 28 =    79240   0.00% HCP 29 =    28284   0.00% HCP 30 =     9335   0.00% HCP 31 =     2491   0.00% 
HCP 32 =      721   0.00% HCP 33 =      156   0.00% HCP 34 =       30   0.00% HCP 35 =        2   0.00% 
2nd hand HCP   statistic
total sum is  14884092 
HCP  0 =   113671   0.76% HCP  1 =   188587   1.27% HCP  2 =   367123   2.47% HCP  3 =   601933   4.04% 
HCP  4 =   852517   5.73% HCP  5 =  1097545   7.37% HCP  6 =  1315637   8.84% HCP  7 =  1484988   9.98% 
HCP  8 =  1498469  10.07% HCP  9 =  1493644  10.04% HCP 10 =  1368763   9.20% HCP 11 =  1184382   7.96% 
HCP 12 =   972937   6.54% HCP 13 =   765725   5.14% HCP 14 =   561781   3.77% HCP 15 =   389917   2.62% 
HCP 16 =   263018   1.77% HCP 17 =   162384   1.09% HCP 18 =    96174   0.65% HCP 19 =    53476   0.36% 
HCP 20 =    27774   0.19% HCP 21 =    13397   0.09% HCP 22 =     6095   0.04% HCP 23 =     2700   0.02% 
HCP 24 =      976   0.01% HCP 25 =      359   0.00% HCP 26 =       88   0.00% HCP 27 =       28   0.00% 
HCP 28 =        4   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   1295537 
HCP  0 =     4302   0.33% HCP  1 =     8810   0.68% HCP  2 =    20535   1.59% HCP  3 =    35764   2.76% 
HCP  4 =    53360   4.12% HCP  5 =    76130   5.88% HCP  6 =    98804   7.63% HCP  7 =   115880   8.94% 
HCP  8 =   125055   9.65% HCP  9 =   133684  10.32% HCP 10 =   127841   9.87% HCP 11 =   117061   9.04% 
HCP 12 =   101391   7.83% HCP 13 =    82896   6.40% HCP 14 =    64400   4.97% HCP 15 =    46668   3.60% 
HCP 16 =    32628   2.52% HCP 17 =    21149   1.63% HCP 18 =    13223   1.02% HCP 19 =     7873   0.61% 
HCP 20 =     4176   0.32% HCP 21 =     2141   0.17% HCP 22 =     1066   0.08% HCP 23 =      428   0.03% 
HCP 24 =      174   0.01% HCP 25 =       78   0.01% HCP 26 =       18   0.00% HCP 27 =        0   0.00% 
HCP 28 =        2   0.00% HCP 29 =        0   0.00% HCP 30 =        0   0.00% HCP 31 =        0   0.00% 
HCP 32 =        0   0.00% HCP 33 =        0   0.00% HCP 34 =        0   0.00% HCP 35 =        0   0.00% 
 Combine North and South hand statistic 

** spade high card point    average HCP is  8.000 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.00%   0.00%    3 =   0.00%   0.00%    4 =   0.00%   0.00%  
  5 =   0.00%   0.00%    6 =   0.00%   0.00%    7 =   0.00%   0.00%    8 = 100.00% 100.00%    9 =   0.00% 100.00%  
 10 =   0.00% 100.00%  

** heart high card point    average HCP is  4.357 
  0 =   8.90%   8.90%    1 =   7.95%  16.85%    2 =   7.92%  24.77%    3 =  14.49%  39.26%    4 =  14.22%  53.48%  
  5 =  12.73%  66.21%    6 =  10.89%  77.10%    7 =  10.93%  88.03%    8 =   4.55%  92.58%    9 =   4.56%  97.14%  
 10 =   2.86% 100.00%  

** diamond high card point    average HCP is  4.357 
  0 =   8.89%   8.89%    1 =   7.99%  16.88%    2 =   8.03%  24.91%    3 =  14.35%  39.26%    4 =  14.19%  53.45%  
  5 =  12.66%  66.11%    6 =  11.02%  77.13%    7 =  10.89%  88.02%    8 =   4.50%  92.52%    9 =   4.59%  97.11%  
 10 =   2.89% 100.00%  

** club high card point    average HCP is  4.357 
  0 =   8.90%   8.90%    1 =   8.00%  16.90%    2 =   7.98%  24.88%    3 =  14.30%  39.18%    4 =  14.26%  53.44%  
  5 =  12.76%  66.20%    6 =  10.91%  77.11%    7 =  10.91%  88.02%    8 =   4.53%  92.55%    9 =   4.57%  97.12%  
 10 =   2.88% 100.00%  

** space suit length    average length is  9.000 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.00%   0.00%    3 =   0.00%   0.00%    4 =   0.00%   0.00%  
  5 =   0.00%   0.00%    6 =   0.00%   0.00%    7 =   0.00%   0.00%    8 =   0.00%   0.00%    9 = 100.00% 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  5.671 
  0 =   0.00%   0.00%    1 =   0.14%   0.15%    2 =   1.20%   1.35%    3 =   5.36%   6.71%    4 =  14.42%  21.13%  
  5 =  24.40%  45.53%    6 =  26.03%  71.56%    7 =  17.92%  89.48%    8 =   7.94%  97.42%    9 =   2.17%  99.60%  
 10 =   0.37%  99.97%   11 =   0.03% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  5.665 
  0 =   0.01%   0.01%    1 =   0.12%   0.13%    2 =   1.17%   1.30%    3 =   5.47%   6.78%    4 =  14.53%  21.31%  
  5 =  24.45%  45.76%    6 =  25.99%  71.75%    7 =  17.78%  89.53%    8 =   7.90%  97.42%    9 =   2.18%  99.60%  
 10 =   0.36%  99.96%   11 =   0.04% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  5.664 
  0 =   0.01%   0.01%    1 =   0.14%   0.15%    2 =   1.16%   1.31%    3 =   5.47%   6.78%    4 =  14.64%  21.42%  
  5 =  24.31%  45.73%    6 =  25.97%  71.70%    7 =  17.84%  89.54%    8 =   7.89%  97.42%    9 =   2.15%  99.58%  
 10 =   0.38%  99.96%   11 =   0.04% 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 =       74  9 =      401 10 =      875 11 =     2025 12 =     4316 13 =     7247 14 =    11673 15 =    17900 
16 =    24016 17 =    31645 18 =    38327 19 =    42961 20 =    46650 21 =    48258 22 =    46147 23 =    42644 
24 =    36946 25 =    30882 26 =    24035 27 =    17966 28 =    12675 29 =     8183 30 =     4866 31 =     2936 
32 =     1378 33 =      685 34 =      343 35 =      127 36 =       46 37 =       14 38 =        2 39 =        0 
40 =        0 
 total count is 506243 

 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 =   0.01%  9 =   0.08% 10 =   0.17% 11 =   0.40% 12 =   0.85% 13 =   1.43% 14 =   2.31% 15 =   3.54% 
16 =   4.74% 17 =   6.25% 18 =   7.57% 19 =   8.49% 20 =   9.21% 21 =   9.53% 22 =   9.12% 23 =   8.42% 
24 =   7.30% 25 =   6.10% 26 =   4.75% 27 =   3.55% 28 =   2.50% 29 =   1.62% 30 =   0.96% 31 =   0.58% 
32 =   0.27% 33 =   0.14% 34 =   0.07% 35 =   0.03% 36 =   0.01% 37 =   0.00% 38 =   0.00% 39 =   0.00% 
40 =   0.00% 
 average HCP is   21.071 

 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 =   0.01%  9 =   0.09% 10 =   0.27% 11 =   0.67% 12 =   1.52% 13 =   2.95% 14 =   5.26% 15 =   8.79% 
16 =  13.54% 17 =  19.79% 18 =  27.36% 19 =  35.84% 20 =  45.06% 21 =  54.59% 22 =  63.71% 23 =  72.13% 
24 =  79.43% 25 =  85.53% 26 =  90.28% 27 =  93.83% 28 =  96.33% 29 =  97.95% 30 =  98.91% 31 =  99.49% 
32 =  99.76% 33 =  99.89% 34 =  99.96% 35 =  99.99% 36 = 100.00% 37 = 100.00% 38 = 100.00% 39 = 100.00% 
40 = 100.00% 

**** total trick distribution 

  77 =        0   78 =        0   79 =        0  710 =        0  711 =        0  712 =        0  713 =        0 
  87 =        0   88 =        0   89 =        0  810 =        0  811 =        0  812 =        0  813 =        0 
  97 =        0   98 =   197854   99 =   206023  910 =    78630  911 =    15899  912 =     1594  913 =       57 
 107 =        0  108 =        0  109 =        0 1010 =     3494 1011 =     1708 1012 =      357 1013 =       34 
 117 =        0  118 =        0  119 =        0 1110 =      200 1111 =      275 1112 =       96 1113 =        4 
 127 =        0  128 =        0  129 =        0 1210 =        0 1211 =       10 1212 =        8 1213 =        0 
 137 =        0  138 =        0  139 =        0 1310 =        0 1311 =        0 1312 =        0 1313 =        0 
 total count is 506243 

  77 =     0.00%  78 =     0.00%  79 =     0.00% 710 =     0.00% 711 =     0.00% 712 =     0.00% 713 =     0.00%
  87 =     0.00%  88 =     0.00%  89 =     0.00% 810 =     0.00% 811 =     0.00% 812 =     0.00% 813 =     0.00%
  97 =     0.00%  98 =    39.08%  99 =    40.70% 910 =    15.53% 911 =     3.14% 912 =     0.31% 913 =     0.01%
 107 =     0.00% 108 =     0.00% 109 =     0.00%1010 =     0.69%1011 =     0.34%1012 =     0.07%1013 =     0.01%
 117 =     0.00% 118 =     0.00% 119 =     0.00%1110 =     0.04%1111 =     0.05%1112 =     0.02%1113 =     0.00%
 127 =     0.00% 128 =     0.00% 129 =     0.00%1210 =     0.00%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  8.000 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.00%   0.00%    3 =   0.00%   0.00%    4 =   0.00%   0.00%  
  5 =   0.00%   0.00%    6 =   0.00%   0.00%    7 =   0.00%   0.00%    8 = 100.00% 100.00%    9 =   0.00% 100.00%  
 10 =   0.00% 100.00%  

** heart high card point    average HCP is  2.052 
  0 =  38.20%  38.20%    1 =  11.00%  49.21%    2 =  10.88%  60.09%    3 =  13.58%  73.67%    4 =  13.51%  87.18%  
  5 =   5.33%  92.51%    6 =   3.18%  95.70%    7 =   3.17%  98.87%    8 =   0.54%  99.41%    9 =   0.51%  99.92%  
 10 =   0.08% 100.00%  

** diamond high card point    average HCP is  2.055 
  0 =  38.19%  38.19%    1 =  10.95%  49.14%    2 =  10.95%  60.09%    3 =  13.53%  73.62%    4 =  13.54%  87.16%  
  5 =   5.33%  92.49%    6 =   3.18%  95.67%    7 =   3.21%  98.88%    8 =   0.52%  99.40%    9 =   0.51%  99.91%  
 10 =   0.09% 100.00%  

** club high card point    average HCP is  2.046 
  0 =  38.38%  38.38%    1 =  10.92%  49.30%    2 =  10.93%  60.23%    3 =  13.53%  73.76%    4 =  13.55%  87.31%  
  5 =   5.27%  92.58%    6 =   3.15%  95.73%    7 =   3.13%  98.86%    8 =   0.51%  99.37%    9 =   0.55%  99.92%  
 10 =   0.08% 100.00%  

** space suit length    average length is  5.000 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.00%   0.00%    3 =   0.00%   0.00%    4 =   0.00%   0.00%  
  5 = 100.00% 100.00%    6 =   0.00% 100.00%    7 =   0.00% 100.00%    8 =   0.00% 100.00%    9 =   0.00% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  heart suit length    average length is  2.670 
  0 =   2.56%   2.56%    1 =  13.78%  16.34%    2 =  29.18%  45.52%    3 =  30.58%  76.10%    4 =  17.40%  93.50%  
  5 =   5.54%  99.03%    6 =   0.90%  99.93%    7 =   0.07% 100.00%    8 =   0.00% 100.00%    9 =   0.00% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  2.667 
  0 =   2.53%   2.53%    1 =  13.89%  16.42%    2 =  29.37%  45.79%    3 =  30.31%  76.10%    4 =  17.43%  93.53%  
  5 =   5.47%  99.00%    6 =   0.93%  99.92%    7 =   0.07% 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  2.663 
  0 =   2.56%   2.56%    1 =  13.91%  16.48%    2 =  29.37%  45.84%    3 =  30.43%  76.28%    4 =  17.35%  93.63%  
  5 =   5.39%  99.02%    6 =   0.91%  99.92%    7 =   0.07% 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 =    18304  9 =    21713 10 =    29068 11 =    44743 12 =    57231 13 =    56366 14 =    55516 15 =    57048 
16 =    46307 17 =    37659 18 =    28710 19 =    21138 20 =    13364 21 =     8748 22 =     5012 23 =     2757 
24 =     1428 25 =      697 26 =      245 27 =      136 28 =       36 29 =       14 30 =        2 31 =        1 
32 =        0 33 =        0 34 =        0 35 =        0 36 =        0 37 =        0 
 total count is 506243 

 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 =   3.62%  9 =   4.29% 10 =   5.74% 11 =   8.84% 12 =  11.31% 13 =  11.13% 14 =  10.97% 15 =  11.27% 
16 =   9.15% 17 =   7.44% 18 =   5.67% 19 =   4.18% 20 =   2.64% 21 =   1.73% 22 =   0.99% 23 =   0.54% 
24 =   0.28% 25 =   0.14% 26 =   0.05% 27 =   0.03% 28 =   0.01% 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 14.152 

 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 =   3.62%  9 =   7.90% 10 =  13.65% 11 =  22.48% 12 =  33.79% 13 =  44.92% 14 =  55.89% 15 =  67.16% 
16 =  76.31% 17 =  83.75% 18 =  89.42% 19 =  93.59% 20 =  96.23% 21 =  97.96% 22 =  98.95% 23 =  99.49% 
24 =  99.78% 25 =  99.91% 26 =  99.96% 27 =  99.99% 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 =        0   5332 =   156687   5431 =   130560   5422 =   108530   4333 =        0   6322 =        0 
  6421 =        0   6331 =        0   5521 =    64615   4441 =        0   7321 =        0   6430 =        0 
  5440 =    12536   5530 =    18379   6511 =     7134   6520 =     6696   7222 =        0   7411 =        0 
  7420 =        0   7330 =        0   8221 =        0   8311 =        0   8320 =        0   7510 =     1086 
  6610 =        0   8410 =        0   9211 =        0   9310 =        0   9220 =        0   7600 =        0 
  8500 =       20  10210 =        0   9400 =        0  10111 =        0  10300 =        0  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 506243 

  4432 =     0.00%  5332 =    30.95%  5431 =    25.79%  5422 =    21.44%  4333 =     0.00%  6322 =     0.00%
  6421 =     0.00%  6331 =     0.00%  5521 =    12.76%  4441 =     0.00%  7321 =     0.00%  6430 =     0.00%
  5440 =     2.48%  5530 =     3.63%  6511 =     1.41%  6520 =     1.32%  7222 =     0.00%  7411 =     0.00%
  7420 =     0.00%  7330 =     0.00%  8221 =     0.00%  8311 =     0.00%  8320 =     0.00%  7510 =     0.21%
  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  0.000 
  0 = 100.00% 100.00%    1 =   0.00% 100.00%    2 =   0.00% 100.00%    3 =   0.00% 100.00%    4 =   0.00% 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%  

** heart high card point    average HCP is  2.304 
  0 =  33.44%  33.44%    1 =  11.11%  44.54%    2 =  11.10%  55.64%    3 =  14.26%  69.90%    4 =  14.16%  84.06%  
  5 =   6.31%  90.37%    6 =   3.98%  94.35%    7 =   3.98%  98.33%    8 =   0.75%  99.09%    9 =   0.76%  99.85%  
 10 =   0.15% 100.00%  

** diamond high card point    average HCP is  2.303 
  0 =  33.42%  33.42%    1 =  11.06%  44.49%    2 =  11.08%  55.57%    3 =  14.28%  69.85%    4 =  14.28%  84.13%  
  5 =   6.37%  90.50%    6 =   3.95%  94.46%    7 =   3.91%  98.36%    8 =   0.73%  99.10%    9 =   0.75%  99.85%  
 10 =   0.15% 100.00%  

** club high card point    average HCP is  2.311 
  0 =  33.28%  33.28%    1 =  11.17%  44.45%    2 =  11.03%  55.49%    3 =  14.27%  69.76%    4 =  14.20%  83.96%  
  5 =   6.38%  90.34%    6 =   4.03%  94.37%    7 =   3.95%  98.31%    8 =   0.76%  99.07%    9 =   0.76%  99.84%  
 10 =   0.16% 100.00%  

** space suit length    average length is  4.000 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =   0.00%   0.00%    3 =   0.00%   0.00%    4 = 100.00% 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  3.001 
  0 =   1.46%   1.46%    1 =   9.46%  10.92%    2 =  24.31%  35.23%    3 =  31.09%  66.31%    4 =  22.31%  88.63%  
  5 =   9.01%  97.63%    6 =   2.10%  99.73%    7 =   0.25%  99.99%    8 =   0.01% 100.00%    9 =   0.00% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  2.997 
  0 =   1.50%   1.50%    1 =   9.60%  11.10%    2 =  24.20%  35.30%    3 =  31.16%  66.46%    4 =  22.09%  88.55%  
  5 =   9.10%  97.65%    6 =   2.07%  99.72%    7 =   0.26%  99.98%    8 =   0.02% 100.00%    9 =   0.00% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  club suit length    average length is  3.002 
  0 =   1.49%   1.49%    1 =   9.54%  11.02%    2 =  24.16%  35.18%    3 =  31.12%  66.31%    4 =  22.25%  88.55%  
  5 =   9.05%  97.60%    6 =   2.10%  99.71%    7 =   0.27%  99.98%    8 =   0.02% 100.00%    9 =   0.00% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

****  total HCP 

 0 =    11463  1 =    15953  2 =    22398  3 =    35554  4 =    47670  5 =    51239  6 =    54015  7 =    57566 
 8 =    50777  9 =    43474 10 =    36637 11 =    27766 12 =    19512 13 =    13486 14 =     8525 15 =     4933 
16 =     2655 17 =     1418 18 =      727 19 =      295 20 =      106 21 =       64 22 =        8 23 =        0 
24 =        2 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 506243 

 0 =   2.26%  1 =   3.15%  2 =   4.42%  3 =   7.02%  4 =   9.42%  5 =  10.12%  6 =  10.67%  7 =  11.37% 
 8 =  10.03%  9 =   8.59% 10 =   7.24% 11 =   5.48% 12 =   3.85% 13 =   2.66% 14 =   1.68% 15 =   0.97% 
16 =   0.52% 17 =   0.28% 18 =   0.14% 19 =   0.06% 20 =   0.02% 21 =   0.01% 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  6.918 

 0 =   2.26%  1 =   5.42%  2 =   9.84%  3 =  16.86%  4 =  26.28%  5 =  36.40%  6 =  47.07%  7 =  58.44% 
 8 =  68.47%  9 =  77.06% 10 =  84.30% 11 =  89.78% 12 =  93.64% 13 =  96.30% 14 =  97.98% 15 =  98.96% 
16 =  99.48% 17 =  99.76% 18 =  99.91% 19 =  99.96% 20 =  99.99% 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 =   229543   5332 =        0   5431 =    68187   5422 =    55849   4333 =    55981   6322 =        0 
  6421 =    24792   6331 =        0   5521 =        0   4441 =    47205   7321 =        0   6430 =     6972 
  5440 =    13451   5530 =        0   6511 =        0   6520 =        0   7222 =        0   7411 =     2146 
  7420 =     1863   7330 =        0   8221 =        0   8311 =        0   8320 =        0   7510 =        0 
  6610 =        0   8410 =      254   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 506243 

  4432 =    45.34%  5332 =     0.00%  5431 =    13.47%  5422 =    11.03%  4333 =    11.06%  6322 =     0.00%
  6421 =     4.90%  6331 =     0.00%  5521 =     0.00%  4441 =     9.32%  7321 =     0.00%  6430 =     1.38%
  5440 =     2.66%  5530 =     0.00%  6511 =     0.00%  6520 =     0.00%  7222 =     0.00%  7411 =     0.42%
  7420 =     0.37%  7330 =     0.00%  8221 =     0.00%  8311 =     0.00%  8320 =     0.00%  7510 =     0.00%
  6610 =     0.00%  8410 =     0.05%  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%

 East hand statistic 

** spade high card point    average HCP is  1.043 
  0 =  47.84%  47.84%    1 =   0.00%  47.84%    2 =  52.16% 100.00%    3 =   0.00% 100.00%    4 =   0.00% 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%  

** heart high card point    average HCP is  2.938 
  0 =  23.18%  23.18%    1 =  10.87%  34.05%    2 =  10.85%  44.90%    3 =  15.29%  60.19%    4 =  15.24%  75.44%  
  5 =   8.85%  84.29%    6 =   6.09%  90.38%    7 =   5.97%  96.35%    8 =   1.56%  97.92%    9 =   1.57%  99.49%  
 10 =   0.51% 100.00%  

** diamond high card point    average HCP is  2.947 
  0 =  23.07%  23.07%    1 =  10.79%  33.86%    2 =  10.90%  44.76%    3 =  15.23%  59.99%    4 =  15.42%  75.41%  
  5 =   8.83%  84.24%    6 =   6.02%  90.26%    7 =   6.02%  96.28%    8 =   1.64%  97.92%    9 =   1.57%  99.49%  
 10 =   0.51% 100.00%  

** club high card point    average HCP is  2.938 
  0 =  23.12%  23.12%    1 =  10.95%  34.07%    2 =  10.94%  45.01%    3 =  15.28%  60.29%    4 =  15.18%  75.48%  
  5 =   8.84%  84.32%    6 =   5.94%  90.26%    7 =   6.02%  96.28%    8 =   1.58%  97.86%    9 =   1.64%  99.50%  
 10 =   0.50% 100.00%  

** space suit length    average length is  1.522 
  0 =   0.00%   0.00%    1 =  47.84%  47.84%    2 =  52.16% 100.00%    3 =   0.00% 100.00%    4 =   0.00% 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  3.823 
  0 =   0.36%   0.36%    1 =   3.40%   3.75%    2 =  12.67%  16.42%    3 =  24.93%  41.35%    4 =  28.34%  69.68%  
  5 =  19.47%  89.16%    6 =   8.27%  97.42%    7 =   2.19%  99.62%    8 =   0.35%  99.96%    9 =   0.03% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

**  diamond suit length    average length is  3.831 
  0 =   0.35%   0.35%    1 =   3.29%   3.64%    2 =  12.67%  16.31%    3 =  24.77%  41.08%    4 =  28.35%  69.42%  
  5 =  19.66%  89.08%    6 =   8.36%  97.45%    7 =   2.17%  99.62%    8 =   0.35%  99.96%    9 =   0.04% 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  3.825 
  0 =   0.39%   0.39%    1 =   3.36%   3.75%    2 =  12.74%  16.49%    3 =  24.72%  41.21%    4 =  28.31%  69.52%  
  5 =  19.57%  89.09%    6 =   8.40%  97.49%    7 =   2.15%  99.63%    8 =   0.34%  99.97%    9 =   0.03% 100.00%  
 10 =   0.00% 100.00%   11 =   0.00% 100.00%   12 =   0.00% 100.00%   13 =   0.00% 100.00%  

****  total HCP 

 0 =     1112  1 =     2562  2 =     6098  3 =    11044  4 =    17462  5 =    26052  6 =    34999  7 =    42109 
 8 =    47912  9 =    52121 10 =    51115 11 =    48074 12 =    42407 13 =    35321 14 =    28070 15 =    20836 
16 =    14926 17 =     9889 18 =     6487 19 =     3778 20 =     2003 21 =     1011 22 =      529 23 =      202 
24 =       68 25 =       46 26 =       10 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 506243 

 0 =   0.22%  1 =   0.51%  2 =   1.20%  3 =   2.18%  4 =   3.45%  5 =   5.15%  6 =   6.91%  7 =   8.32% 
 8 =   9.46%  9 =  10.30% 10 =  10.10% 11 =   9.50% 12 =   8.38% 13 =   6.98% 14 =   5.54% 15 =   4.12% 
16 =   2.95% 17 =   1.95% 18 =   1.28% 19 =   0.75% 20 =   0.40% 21 =   0.20% 22 =   0.10% 23 =   0.04% 
24 =   0.01% 25 =   0.01% 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  9.866 

 0 =   0.22%  1 =   0.73%  2 =   1.93%  3 =   4.11%  4 =   7.56%  5 =  12.71%  6 =  19.62%  7 =  27.94% 
 8 =  37.40%  9 =  47.70% 10 =  57.80% 11 =  67.29% 12 =  75.67% 13 =  82.65% 14 =  88.19% 15 =  92.31% 
16 =  95.25% 17 =  97.21% 18 =  98.49% 19 =  99.24% 20 =  99.63% 21 =  99.83% 22 =  99.94% 23 =  99.98% 
24 =  99.99% 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 =    69514   5332 =    49420   5431 =    97602   5422 =    68050   4333 =        0   6322 =    36297 
  6421 =    50568   6331 =    26071   5521 =    34303   4441 =    22496   7321 =    20135   6430 =        0 
  5440 =        0   5530 =        0   6511 =    10542   6520 =     2132   7222 =     4859   7411 =     5936 
  7420 =     1199   7330 =        0   8221 =     2743   8311 =     1813   8320 =      302   7510 =      828 
  6610 =      550   8410 =      373   9211 =      365   9310 =       84   9220 =       45   7600 =        0 
  8500 =        0  10210 =       12   9400 =        0  10111 =        4  10300 =        0  11110 =        0 
 11200 =        0  12100 =        0 
 total count is 506243 

  4432 =    13.73%  5332 =     9.76%  5431 =    19.28%  5422 =    13.44%  4333 =     0.00%  6322 =     7.17%
  6421 =     9.99%  6331 =     5.15%  5521 =     6.78%  4441 =     4.44%  7321 =     3.98%  6430 =     0.00%
  5440 =     0.00%  5530 =     0.00%  6511 =     2.08%  6520 =     0.42%  7222 =     0.96%  7411 =     1.17%
  7420 =     0.24%  7330 =     0.00%  8221 =     0.54%  8311 =     0.36%  8320 =     0.06%  7510 =     0.16%
  6610 =     0.11%  8410 =     0.07%  9211 =     0.07%  9310 =     0.02%  9220 =     0.01%  7600 =     0.00%
  8500 =     0.00% 10210 =     0.00%  9400 =     0.00% 10111 =     0.00% 10300 =     0.00% 11110 =     0.00%
 11200 =     0.00% 12100 =     0.00%

 West hand statistic 

** spade high card point    average HCP is  0.957 
  0 =  52.16%  52.16%    1 =   0.00%  52.16%    2 =  47.84% 100.00%    3 =   0.00% 100.00%    4 =   0.00% 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%  

** heart high card point    average HCP is  2.705 
  0 =  26.75%  26.75%    1 =  11.00%  37.75%    2 =  10.92%  48.67%    3 =  15.08%  63.75%    4 =  15.01%  78.76%  
  5 =   7.88%  86.64%    6 =   5.25%  91.89%    7 =   5.28%  97.17%    8 =   1.25%  98.42%    9 =   1.25%  99.67%  
 10 =   0.33% 100.00%  

** diamond high card point    average HCP is  2.695 
  0 =  26.76%  26.76%    1 =  11.06%  37.81%    2 =  10.96%  48.78%    3 =  15.11%  63.89%    4 =  15.00%  78.89%  
  5 =   8.02%  86.91%    6 =   5.13%  92.04%    7 =   5.18%  97.22%    8 =   1.24%  98.46%    9 =   1.23%  99.69%  
 10 =   0.31% 100.00%  

** club high card point    average HCP is  2.705 
  0 =  26.68%  26.68%    1 =  11.00%  37.68%    2 =  10.99%  48.67%    3 =  15.17%  63.83%    4 =  14.98%  78.81%  
  5 =   7.91%  86.72%    6 =   5.14%  91.86%    7 =   5.29%  97.14%    8 =   1.27%  98.41%    9 =   1.28%  99.69%  
 10 =   0.31% 100.00%  

** space suit length    average length is  2.478 
  0 =   0.00%   0.00%    1 =   0.00%   0.00%    2 =  52.16%  52.16%    3 =  47.84% 100.00%    4 =   0.00% 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  3.506 
  0 =   0.64%   0.64%    1 =   5.21%   5.85%    2 =  16.71%  22.56%    3 =  28.20%  50.76%    4 =  27.03%  77.79%  
  5 =  15.48%  93.27%    6 =   5.41%  98.68%    7 =   1.17%  99.85%    8 =   0.14%  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  3.504 
  0 =   0.64%   0.64%    1 =   5.23%   5.87%    2 =  16.81%  22.67%    3 =  28.00%  50.67%    4 =  27.10%  77.77%  
  5 =  15.56%  93.33%    6 =   5.43%  98.76%    7 =   1.11%  99.87%    8 =   0.13%  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  3.511 
  0 =   0.65%   0.65%    1 =   5.18%   5.83%    2 =  16.60%  22.43%    3 =  28.20%  50.63%    4 =  26.99%  77.62%  
  5 =  15.54%  93.16%    6 =   5.58%  98.73%    7 =   1.12%  99.86%    8 =   0.13%  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 =     2006  1 =     3908  2 =     9515  3 =    16199  4 =    23808  5 =    33021  6 =    42466  7 =    48874 
 8 =    50822  9 =    53211 10 =    49649 11 =    44088 12 =    36515 13 =    29915 14 =    22225 15 =    15353 
16 =    10474 17 =     6478 18 =     3752 19 =     2123 20 =     1024 21 =      485 22 =      212 23 =       86 
24 =       22 25 =       12 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 506243 

 0 =   0.40%  1 =   0.77%  2 =   1.88%  3 =   3.20%  4 =   4.70%  5 =   6.52%  6 =   8.39%  7 =   9.65% 
 8 =  10.04%  9 =  10.51% 10 =   9.81% 11 =   8.71% 12 =   7.21% 13 =   5.91% 14 =   4.39% 15 =   3.03% 
16 =   2.07% 17 =   1.28% 18 =   0.74% 19 =   0.42% 20 =   0.20% 21 =   0.10% 22 =   0.04% 23 =   0.02% 
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  9.063 

 0 =   0.40%  1 =   1.17%  2 =   3.05%  3 =   6.25%  4 =  10.95%  5 =  17.47%  6 =  25.86%  7 =  35.52% 
 8 =  45.56%  9 =  56.07% 10 =  65.87% 11 =  74.58% 12 =  81.80% 13 =  87.70% 14 =  92.09% 15 =  95.13% 
16 =  97.20% 17 =  98.48% 18 =  99.22% 19 =  99.64% 20 =  99.84% 21 =  99.93% 22 =  99.98% 23 =  99.99% 
24 = 100.00% 25 = 100.00% 26 = 100.00% 27 = 100.00% 28 = 100.00% 29 = 100.00% 30 = 100.00% 31 = 100.00% 
32 = 100.00% 33 = 100.00% 34 = 100.00% 35 = 100.00% 36 = 100.00% 37 = 100.00% 

**** total distribution 

  4432 =   114618   5332 =   115131   5431 =    27130   5422 =    67505   4333 =    67412   6322 =    48293 
  6421 =    15398   6331 =    14484   5521 =    10064   4441 =        0   7321 =    10145   6430 =     2814 
  5440 =        0   5530 =     1925   6511 =        0   6520 =     2105   7222 =     4792   7411 =        0 
  7420 =     1172   7330 =     1116   8221 =     1226   8311 =      232   8320 =      568   7510 =        0 
  6610 =        0   8410 =        0   9211 =       52   9310 =       21   9220 =       36   7600 =        0 
  8500 =        0  10210 =        2   9400 =        0  10111 =        0  10300 =        0  11110 =        0 
 11200 =        2  12100 =        0 
 total count is 506243 

  4432 =    22.64%  5332 =    22.74%  5431 =     5.36%  5422 =    13.33%  4333 =    13.32%  6322 =     9.54%
  6421 =     3.04%  6331 =     2.86%  5521 =     1.99%  4441 =     0.00%  7321 =     2.00%  6430 =     0.56%
  5440 =     0.00%  5530 =     0.38%  6511 =     0.00%  6520 =     0.42%  7222 =     0.95%  7411 =     0.00%
  7420 =     0.23%  7330 =     0.22%  8221 =     0.24%  8311 =     0.05%  8320 =     0.11%  7510 =     0.00%
  6610 =     0.00%  8410 =     0.00%  9211 =     0.01%  9310 =     0.00%  9220 =     0.01%  7600 =     0.00%
  8500 =     0.00% 10210 =     0.00%  9400 =     0.00% 10111 =     0.00% 10300 =     0.00% 11110 =     0.00%
 11200 =     0.00% 12100 =     0.00%