Statistics on the skips for single number in a c(5/49) game

[LouisBachelier]

Statistics for 10000 trials

list, N(skips FOR NUMBER 1)

+-----------------------+
v1   _freq   _freqcum 
-----------------------
1.    0      15       7.46  FOR THE NUMBER 1 THE SKIP 0 HAD A FREQUENCY OF 15
2.    1      17      15.92  FOR THE NUMBER 1 THE SKIP 1 HAD A FREQUENCY OF 17
3.    2      12      21.89  FOR THE NUMBER 1 THE SKIP 2 HAD A FREQUENCY OF 12
4.    3      18      30.85 
5.    4      18      39.80 
------------------------
6.    5      12      45.77 
7.    6      15      53.23 
8.    7       4      55.22 
9.    8      11      60.70 
10.   9       7      64.18 
-----------------------
11.  10       8      68.16 
12.  11       7      71.64 
13.  12       6      74.63 
14.  13       7      78.11 
15.  14       3      79.60 
-----------------------
16.  15       3      81.09 
17.  16       5      83.58 
18.  17       2      84.58 
19.  18       2      85.57 
20.  19       4      87.56 
-----------------------
21.  20       3      89.05 
22.  21       4      91.04 
23.  22       2      92.04 
24.  23       1      92.54 
25.  24       3      94.03 
-----------------------
26.  25       3      95.52 
27.  30       4      97.51 
28.  34       1      98.01 
29.  36       1      98.51 
30.  37       2      99.50 
-----------------------
31.  40       1     100.00 
-----------------------
N  31                    
list, N(v2)

+-----------------------+
v2   _freq   _freqcum 
-----------------------
1.   0      24      11.43 
2.   1      30      25.71 
3.   2      14      32.38 
4.   3      11      37.62 
5.   4      11      42.86 
-----------------------
6.   5      13      49.05 
7.   6      13      55.24 
8.   7      10      60.00 
9.   8       6      62.86 
10.   9      14      69.52 
-----------------------
11.  10       5      71.90 
12.  11       7      75.24 
13.  12       5      77.62 
14.  13       3      79.05 
15.  14       4      80.95 
-----------------------
16.  15       3      82.38 
17.  16       6      85.24 
18.  17       3      86.67 
19.  18       3      88.10 
20.  19       1      88.57 
-----------------------
21.  20       1      89.05 
22.  21       3      90.48 
23.  22       1      90.95 
24.  23       2      91.90 
25.  24       1      92.38 
-----------------------
26.  25       1      92.86 
27.  26       1      93.33 
28.  27       3      94.76 
29.  29       2      95.71 
30.  31       2      96.67 
-----------------------
31.  35       2      97.62 
32.  37       2      98.57 
33.  39       1      99.05 
34.  41       1      99.52 
35.  69       1     100.00 
-----------------------
N  35                    
list, N(v3)

+-----------------------+
v3   _freq   _freqcum 
-----------------------
1.   0      22      10.00 
2.   1      18      18.18 
3.   2      16      25.45 
4.   3      21      35.00 
5.   4      20      44.09 
-----------------------
6.   5      15      50.91 
7.   6      14      57.27 
8.   7      14      63.64 
9.   8       7      66.82 
10.   9       4      68.64 
-----------------------
11.  10      10      73.18 
12.  11       8      76.82 
13.  12       2      77.73 
14.  13       9      81.82 
15.  14       5      84.09 
-----------------------
16.  15       2      85.00 
17.  16       3      86.36 
18.  17       3      87.73 
19.  18       4      89.55 
20.  19       3      90.91 
-----------------------
21.  20       3      92.27 
22.  21       1      92.73 
23.  22       4      94.55 
24.  23       2      95.45 
25.  24       1      95.91 
-----------------------
26.  26       1      96.36 
27.  27       3      97.73 
28.  29       1      98.18 
29.  31       1      98.64 
30.  43       1      99.09 
-----------------------
31.  64       1      99.55 
32.  65       1     100.00 
-----------------------
N  32                    
+-----------------------+
list, N(v4)

+-----------------------+
v4   _freq   _freqcum 
-----------------------
1.   0      17       8.63 
2.   1      17      17.26 
3.   2      12      23.35 
4.   3      23      35.03 
5.   4      16      43.15 
-----------------------
6.   5      14      50.25 
7.   6      11      55.84 
8.   7       7      59.39 
9.   8       6      62.44 
10.   9       7      65.99 
-----------------------
11.  10       2      67.01 
12.  11       8      71.07 
13.  12       3      72.59 
14.  13       5      75.13 
15.  14       5      77.66 
-----------------------
16.  15       2      78.68 
17.  16       6      81.73 
18.  17       1      82.23 
19.  19       3      83.76 
20.  20       2      84.77 
-----------------------
21.  21       3      86.29 
22.  22       7      89.85 
23.  23       4      91.88 
24.  24       1      92.39 
25.  25       4      94.42 
-----------------------
26.  26       1      94.92 
27.  27       2      95.94 
28.  31       2      96.95 
29.  34       1      97.46 
30.  36       2      98.48 
-----------------------
31.  42       1      98.98 
32.  44       2     100.00 
-----------------------
N  32                    

 list, N(v5)
 
 +-----------------------+
 v5   _freq   _freqcum 
 -----------------------
 1.   0      24      10.91 
 2.   1      16      18.18 
 3.   2      18      26.36 
 4.   3      27      38.64 
 5.   4      23      49.09 
 -----------------------
 6.   5      11      54.09 
 7.   6       8      57.73 
 8.   7       9      61.82 
 9.   8      13      67.73 
 10.   9       4      69.55 
 -----------------------
 11.  10       8      73.18 
 12.  11       5      75.45 
 13.  12       4      77.27 
 14.  13       7      80.45 
 15.  14       6      83.18 
 -----------------------
 16.  15       2      84.09 
 17.  16       3      85.45 
 18.  17       3      86.82 
 19.  18       3      88.18 
 20.  19       1      88.64 
 -----------------------
 21.  20       3      90.00 
 22.  21       3      91.36 
 23.  22       1      91.82 
 24.  23       2      92.73 
 25.  25       3      94.09 
 -----------------------
 26.  26       2      95.00 
 27.  27       1      95.45 
 28.  28       1      95.91 
 29.  29       1      96.36 
 30.  30       3      97.73 
 -----------------------
 31.  32       1      98.18 
 32.  35       1      98.64 
 33.  37       1      99.09 
 34.  38       1      99.55 
 35.  55       1     100.00 
 -----------------------
 N  35                    
 +-----------------------+
 . list, N(v6)
 
 +-----------------------+
 v6   _freq   _freqcum 
 -----------------------
 1.   0      14       7.78 
 2.   1      21      19.44 
 3.   2      14      27.22 
 4.   3      14      35.00 
 5.   4      13      42.22 
 -----------------------
 6.   5       8      46.67 
 7.   6       7      50.56 
 8.   7      10      56.11 
 9.   8       7      60.00 
 10.   9       5      62.78 
 -----------------------
 11.  10       7      66.67 
 12.  11       3      68.33 
 13.  12       3      70.00 
 14.  13       5      72.78 
 15.  14       7      76.67 
 -----------------------
 16.  15       5      79.44 
 17.  16       3      81.11 
 18.  17       3      82.78 
 19.  18       2      83.89 
 20.  19       2      85.00 
 -----------------------
 21.  20       5      87.78 
 22.  21       1      88.33 
 23.  22       1      88.89 
 24.  24       2      90.00 
 25.  25       2      91.11 
 -----------------------
 26.  27       2      92.22 
 27.  28       1      92.78 
 28.  30       1      93.33 
 29.  31       3      95.00 
 30.  34       1      95.56 
 -----------------------
 31.  36       1      96.11 
 32.  41       1      96.67 
 33.  43       1      97.22 
 34.  44       1      97.78 
 35.  46       1      98.33 
 -----------------------
 36.  48       1      98.89 
 37.  51       1      99.44 
 38.  78       1     100.00 
 -----------------------
 N  38                    
 +-----------------------+
 . list, N(v7)
 
 +-----------------------+
 v7   _freq   _freqcum 
 -----------------------
 1.   0      18       9.33 
 2.   1      20      19.69 
 3.   2      17      28.50 
 4.   3      17      37.31 
 5.   4       9      41.97 
 -----------------------
 6.   5       7      45.60 
 7.   6       9      50.26 
 8.   7      10      55.44 
 9.   8       9      60.10 
 10.   9       8      64.25 
 -----------------------
 11.  10       5      66.84 
 12.  11       6      69.95 
 13.  12       4      72.02 
 14.  13       3      73.58 
 15.  14       6      76.68 
 -----------------------
 16.  15       6      79.79 
 17.  16       5      82.38 
 18.  17       4      84.46 
 19.  18       4      86.53 
 20.  19       2      87.56 
 -----------------------
 21.  20       3      89.12 
 22.  21       2      90.16 
 23.  22       1      90.67 
 24.  24       2      91.71 
 25.  25       1      92.23 
 -----------------------
 26.  26       3      93.78 
 27.  27       1      94.30 
 28.  29       2      95.34 
 29.  30       1      95.85 
 30.  31       1      96.37 
 -----------------------
 31.  33       1      96.89 
 32.  38       1      97.41 
 33.  41       2      98.45 
 34.  44       1      98.96 
 35.  46       1      99.48 
 -----------------------
 36.  63       1     100.00 
 -----------------------
 N  36                    
 +-----------------------+
 . list, N(v8)
 
 +-----------------------+
 v8   _freq   _freqcum 
 -----------------------
 1.   0      22      10.58 
 2.   1      16      18.27 
 3.   2      15      25.48 
 4.   3      13      31.73 
 5.   4      12      37.50 
 -----------------------
 6.   5      18      46.15 
 7.   6      12      51.92 
 8.   7       6      54.81 
 9.   8      10      59.62 
 10.   9       8      63.46 
 -----------------------
 11.  10       6      66.35 
 12.  11       5      68.75 
 13.  12       4      70.67 
 14.  13      10      75.48 
 15.  14       8      79.33 
 -----------------------
 16.  15       5      81.73 
 17.  16      11      87.02 
 18.  17       2      87.98 
 19.  18       2      88.94 
 20.  19       2      89.90 
 -----------------------
 21.  20       2      90.87 
 22.  21       2      91.83 
 23.  22       3      93.27 
 24.  23       2      94.23 
 25.  24       2      95.19 
 -----------------------
 26.  25       2      96.15 
 27.  26       2      97.12 
 28.  27       1      97.60 
 29.  28       1      98.08 
 30.  31       2      99.04 
 -----------------------
 31.  35       1      99.52 
 32.  38       1     100.00 
 -----------------------
 N  32                    
 +-----------------------+
 
 . list, N(v9)
 
 +-----------------------+
 v9   _freq   _freqcum 
 -----------------------
 1.   0      18       9.57 
 2.   1      15      17.55 
 3.   2      17      26.60 
 4.   3      10      31.91 
 5.   4      11      37.77 
 -----------------------
 6.   5      11      43.62 
 7.   6       9      48.40 
 8.   7       8      52.66 
 9.   8       9      57.45 
 10.   9      10      62.77 
 -----------------------
 11.  10       3      64.36 
 12.  11       6      67.55 
 13.  12      10      72.87 
 14.  13       4      75.00 
 15.  14       5      77.66 
 -----------------------
 16.  15       3      79.26 
 17.  16       6      82.45 
 18.  17       3      84.04 
 19.  19       2      85.11 
 20.  20       4      87.23 
 -----------------------
 21.  21       4      89.36 
 22.  22       2      90.43 
 23.  24       3      92.02 
 24.  26       1      92.55 
 25.  27       1      93.09 
 -----------------------
 26.  28       1      93.62 
 27.  29       1      94.15 
 28.  30       1      94.68 
 29.  31       2      95.74 
 30.  32       1      96.28 
 -----------------------
 31.  33       2      97.34 
 32.  34       1      97.87 
 33.  39       1      98.40 
 34.  41       1      98.94 
 35.  44       1      99.47 
 -----------------------
 36.  54       1     100.00 
 -----------------------
 N  36                    
 +-----------------------+
 . list, N(v10)
 
 +------------------------+
 v10   _freq   _freqcum 
 ------------------------
 1.    0      30      14.63 
 2.    1      24      26.34 
 3.    2      20      36.10 
 4.    3      14      42.93 
 5.    4      10      47.80 
 ------------------------
 6.    5       6      50.73 
 7.    6       6      53.66 
 8.    7       7      57.07 
 9.    8      11      62.44 
 10.    9       6      65.37 
 ------------------------
 11.   10       4      67.32 
 12.   11       4      69.27 
 13.   12       8      73.17 
 14.   13       7      76.59 
 15.   14       9      80.98 
 ------------------------
 16.   15       4      82.93 
 17.   16       4      84.88 
 18.   17       2      85.85 
 19.   18       1      86.34 
 20.   19       1      86.83 
 ------------------------
 21.   20       2      87.80 
 22.   21       2      88.78 
 23.   22       1      89.27 
 24.   23       4      91.22 
 25.   24       4      93.17 
 ------------------------
 26.   25       1      93.66 
 27.   26       1      94.15 
 28.   28       2      95.12 
 29.   30       2      96.10 
 30.   31       1      96.59 
 ------------------------
 31.   32       1      97.07 
 32.   34       1      97.56 
 33.   36       2      98.54 
 34.   45       1      99.02 
 35.   48       1      99.51 
 ------------------------
 36.   52       1     100.00 
 ------------------------
 N   36                    
 +------------------------+
 . list, N(v11)
 
 +------------------------+
 v11   _freq   _freqcum 
 ------------------------
 1.    0      23      11.50 
 2.    1      23      23.00 
 3.    2      17      31.50 
 4.    3      13      38.00 
 5.    4      12      44.00 
 ------------------------
 6.    5      10      49.00 
 7.    6       9      53.50 
 8.    7       5      56.00 
 9.    8      10      61.00 
 10.    9       6      64.00 
 ------------------------
 11.   10       7      67.50 
 12.   11       6      70.50 
 13.   12       4      72.50 
 14.   13       3      74.00 
 15.   14       4      76.00 
 ------------------------
 16.   15       5      78.50 
 17.   16       3      80.00 
 18.   17       3      81.50 
 19.   18       4      83.50 
 20.   19       3      85.00 
 ------------------------
 21.   20       1      85.50 
 22.   21       3      87.00 
 23.   22       2      88.00 
 24.   23       2      89.00 
 25.   24       2      90.00 
 ------------------------
 26.   25       2      91.00 
 27.   26       6      94.00 
 28.   27       2      95.00 
 29.   28       1      95.50 
 30.   29       2      96.50 
 ------------------------
 31.   30       1      97.00 
 32.   31       3      98.50 
 33.   32       1      99.00 
 34.   38       2     100.00 
 ------------------------
 N   34                    
 +------------------------+
 . list, N(v12)
 
 +------------------------+
 v12   _freq   _freqcum 
 ------------------------
 1.    0      14       7.29 
 2.    1      15      15.10 
 3.    2      18      24.48 
 4.    3      14      31.77 
 5.    4      12      38.02 
 ------------------------
 6.    5       9      42.71 
 7.    6      10      47.92 
 8.    7       8      52.08 
 9.    8       8      56.25 
 10.    9       6      59.38 
 ------------------------
 11.   10       7      63.02 
 12.   11      12      69.27 
 13.   12       7      72.92 
 14.   13       3      74.48 
 15.   14       6      77.60 
 ------------------------
 16.   15       9      82.29 
 17.   16       3      83.85 
 18.   17       3      85.42 
 19.   18       1      85.94 
 20.   19       5      88.54 
 ------------------------
 21.   20       3      90.10 
 22.   21       1      90.63 
 23.   22       2      91.67 
 24.   24       4      93.75 
 25.   25       1      94.27 
 ------------------------
 26.   26       2      95.31 
 27.   30       1      95.83 
 28.   31       1      96.35 
 29.   33       1      96.88 
 30.   34       1      97.40 
 ------------------------
 31.   35       1      97.92 
 32.   36       1      98.44 
 33.   40       1      98.96 
 34.   41       1      99.48 
 35.   47       1     100.00 
 ------------------------
 N   35                    
 +------------------------+
 . list, N(v13)
 
 +------------------------+
 v13   _freq   _freqcum 
 ------------------------
 1.    0      27      12.05 
 2.    1      15      18.75 
 3.    2      15      25.45 
 4.    3      18      33.48 
 5.    4      14      39.73 
 ------------------------
 6.    5      15      46.43 
 7.    6      13      52.23 
 8.    7      18      60.27 
 9.    8       6      62.95 
 10.    9      11      67.86 
 ------------------------
 11.   10       9      71.88 
 12.   11      10      76.34 
 13.   12       8      79.91 
 14.   13       6      82.59 
 15.   14       4      84.38 
 ------------------------
 16.   15       5      86.61 
 17.   16       4      88.39 
 18.   17       2      89.29 
 19.   18       1      89.73 
 20.   19       2      90.63 
 ------------------------
 21.   20       2      91.52 
 22.   21       4      93.30 
 23.   22       3      94.64 
 24.   23       1      95.09 
 25.   24       3      96.43 
 ------------------------
 26.   25       1      96.88 
 27.   26       1      97.32 
 28.   28       1      97.77 
 29.   30       1      98.21 
 30.   31       1      98.66 
 ------------------------
 31.   33       1      99.11 
 32.   36       1      99.55 
 33.   38       1     100.00 
 ------------------------
 N   33                    
 +------------------------+
 . list, N(v14)
 
 +------------------------+
 v14   _freq   _freqcum 
 ------------------------
 1.    0      19       9.84 
 2.    1      33      26.94 
 3.    2      14      34.20 
 4.    3      14      41.45 
 5.    4      13      48.19 
 ------------------------
 6.    5       8      52.33 
 7.    6       9      56.99 
 8.    7       8      61.14 
 9.    8       8      65.28 
 10.    9       4      67.36 
 ------------------------
 11.   10       5      69.95 
 12.   11       5      72.54 
 13.   12       7      76.17 
 14.   15       6      79.27 
 15.   17       1      79.79 
 ------------------------
 16.   18       7      83.42 
 17.   19       2      84.46 
 18.   20       4      86.53 
 19.   21       5      89.12 
 20.   22       2      90.16 
 ------------------------
 21.   23       1      90.67 
 22.   24       1      91.19 
 23.   26       1      91.71 
 24.   27       2      92.75 
 25.   28       1      93.26 
 ------------------------
 26.   29       1      93.78 
 27.   30       1      94.30 
 28.   34       1      94.82 
 29.   35       3      96.37 
 30.   37       2      97.41 
 ------------------------
 31.   38       1      97.93 
 32.   41       1      98.45 
 33.   54       1      98.96 
 34.   57       1      99.48 
 35.   68       1     100.00 
 ------------------------
 N   35                    
 +------------------------+

[LouisBachelier]

. list, N(v16)
 
 +------------------------+
 v16   _freq   _freqcum 
 ------------------------
 1.    0      23      10.90 
 2.    1      20      20.38 
 3.    2      20      29.86 
 4.    3      18      38.39 
 5.    4      16      45.97 
 ------------------------
 6.    5      14      52.61 
 7.    6       8      56.40 
 8.    7       4      58.29 
 9.    8       9      62.56 
 10.    9       4      64.45
 ------------------------
 11.   10       6      67.30
 12.   11      11      72.51
 13.   12       8      76.30
 14.   13       6      79.15
 15.   14       8      82.94
 ------------------------
 16.   15       4      84.83
 17.   16       4      86.73
 18.   17       3      88.15
 19.   18       6      91.00
 20.   19       1      91.47
 ------------------------
 21.   20       4      93.36
 22.   21       1      93.84
 23.   22       2      94.79
 24.   23       1      95.26
 25.   28       1      95.73
 ------------------------
 26.   30       1      96.21
 27.   32       1      96.68
 28.   35       1      97.16
 29.   40       1      97.63
 30.   41       1      98.10
 ------------------------
 31.   44       2      99.05
 32.   46       1      99.53
 33.   55       1     100.00
 ------------------------
 N   33                    
 +------------------------+
 
 . list, N(v17)
 
 +------------------------+
 v17   _freq   _freqcum 
 ------------------------
 1.    0      17       8.54 
 2.    1      20      18.59 
 3.    2      18      27.64 
 4.    3      14      34.67 
 5.    4      13      41.21 
 ------------------------
 6.    5      12      47.24 
 7.    6       8      51.26 
 8.    7       7      54.77 
 9.    8       9      59.30 
 10.    9       8      63.32
 ------------------------
 11.   10       7      66.83
 12.   11       8      70.85
 13.   12       8      74.87
 14.   13       8      78.89
 15.   14       4      80.90
 ------------------------
 16.   15       4      82.91
 17.   16       4      84.92
 18.   17       4      86.93
 19.   18       4      88.94
 20.   19       2      89.95
 ------------------------
 21.   20       1      90.45
 22.   22       3      91.96
 23.   23       3      93.47
 24.   24       1      93.97
 25.   25       3      95.48
 ------------------------
 26.   29       1      95.98
 27.   31       1      96.48
 28.   35       1      96.98
 29.   37       1      97.49
 30.   39       1      97.99
 ------------------------
 31.   40       1      98.49
 32.   48       1      98.99
 33.   56       1      99.50
 34.   60       1     100.00
 ------------------------
 N   34                    
 +------------------------+

 . list, N(v18)
 
 +------------------------+
 v18   _freq   _freqcum 
 ------------------------
 1.    0      23      11.11 
 2.    1      20      20.77 
 3.    2      15      28.02 
 4.    3      18      36.71 
 5.    4      17      44.93 
 ------------------------
 6.    5       7      48.31 
 7.    6       8      52.17 
 8.    7       8      56.04 
 9.    8       8      59.90 
 10.    9       7      63.29
 ------------------------
 11.   10      10      68.12
 12.   11       4      70.05
 13.   12       7      73.43
 14.   13       6      76.33
 15.   14       8      80.19
 ------------------------
 16.   15       3      81.64
 17.   16       6      84.54
 18.   17       5      86.96
 19.   18       1      87.44
 20.   19       2      88.41
 ------------------------
 21.   20       3      89.86
 22.   21       5      92.27
 23.   22       1      92.75
 24.   24       1      93.24
 25.   25       1      93.72
 ------------------------
 26.   26       1      94.20
 27.   28       4      96.14
 28.   29       2      97.10
 29.   33       3      98.55
 30.   34       1      99.03
 ------------------------
 31.   37       1      99.52
 32.   51       1     100.00
 ------------------------
 N   32                    
 +------------------------+
 
 list, N(v19)
 
 +--------------------------
 v19   _freq   _freqcum     
 ---------------------------
 1.    0      33      15.14 
 2.    1      15      22.02 
 3.    2      18      30.28 
 4.    3      12      35.78 
 5.    4      18      44.04 
 ---------------------------
 6.    5      11      49.08 
 7.    6      16      56.42 
 8.    7      10      61.01 
 9.    8       9      65.14 
 10.    9       8      68.81
 ---------------------------
 11.   10       4      70.64
 12.   11       6      73.39
 13.   12       6      76.15
 14.   13       4      77.98
 15.   14       7      81.19
 ---------------------------
 16.   15       6      83.94
 17.   16       6      86.70
 18.   17       1      87.16
 19.   18       5      89.45
 20.   19       2      90.37
 ---------------------------
 21.   20       2      91.28
 22.   21       3      92.66
 23.   22       5      94.95
 24.   23       1      95.41
 25.   24       1      95.87
 ---------------------------
 26.   26       1      96.33
 27.   28       1      96.79
 28.   29       1      97.25
 29.   30       2      98.17
 30.   35       1      98.62
 ---------------------------
 31.   41       1      99.08
 32.   49       1      99.54
 33.   59       1     100.00
 ---------------------------
 N   33                     
 +--------------------------
 . list, N(v20)
 
 +------------------------+
 v20   _freq   _freqcum 
 ------------------------
 1.    0      21      10.55 
 2.    1      18      19.60 
 3.    2      20      29.65 
 4.    3      10      34.67 
 5.    4      16      42.71 
 ------------------------
 6.    5       9      47.24 
 7.    6      11      52.76 
 8.    7       7      56.28 
 9.    8       6      59.30 
 10.    9      12      65.33
 ------------------------
 11.   10       8      69.35
 12.   11       2      70.35
 13.   12       5      72.86
 14.   13       7      76.38
 15.   14      11      81.91
 ------------------------
 16.   15       2      82.91
 17.   16       6      85.93
 18.   17       1      86.43
 19.   18       1      86.93
 20.   19       2      87.94
 ------------------------
 21.   20       1      88.44
 22.   21       1      88.94
 23.   22       2      89.95
 24.   23       1      90.45
 25.   24       3      91.96
 ------------------------
 26.   25       1      92.46
 27.   26       2      93.47
 28.   27       2      94.47
 29.   28       2      95.48
 30.   29       1      95.98
 ------------------------
 31.   34       1      96.48
 32.   38       1      96.98
 33.   39       1      97.49
 34.   40       1      97.99
 35.   43       2      98.99
 ------------------------
 36.   46       1      99.50
 37.   48       1     100.00
 ------------------------
 N   37                    
 +------------------------+
list, N(v21)

+------------------------+
v21   _freq   _freqcum 
------------------------
1.    0      19       9.84 
2.    1      21      20.73 
3.    2      10      25.91 
4.    3      15      33.68 
5.    4      10      38.86 
------------------------
6.    5       7      42.49 
7.    6      20      52.85 
8.    7       9      57.51 
9.    8       7      61.14 
10.    9       3      62.69 
------------------------
11.   10       9      67.36 
12.   11      10      72.54 
13.   12       6      75.65 
14.   13       5      78.24 
15.   14       2      79.27 
------------------------
16.   15       3      80.83 
17.   16       3      82.38 
18.   17       1      82.90 
19.   18       4      84.97 
20.   19       3      86.53 
------------------------
21.   20       4      88.60 
22.   22       3      90.16 
23.   23       3      91.71 
24.   24       2      92.75 
25.   25       1      93.26 
------------------------
26.   26       1      93.78 
27.   27       2      94.82 
28.   30       1      95.34 
29.   31       1      95.85 
30.   33       1      96.37 
------------------------
31.   35       1      96.89 
32.   36       2      97.93 
33.   45       1      98.45 
34.   47       1      98.96 
35.   49       1      99.48 
------------------------
36.   62       1     100.00 
------------------------
N   36                    
+------------------------+

list, N(v22)

+------------------------+
v22   _freq   _freqcum 
------------------------
1.    0      16       7.41 
2.    1      29      20.83 
3.    2      20      30.09 
4.    3      20      39.35 
5.    4       8      43.06 
------------------------
6.    5      13      49.07 
7.    6      13      55.09 
8.    7      11      60.19 
9.    8      14      66.67 
10.    9       9      70.83 
------------------------
11.   10       5      73.15 
12.   11       5      75.46 
13.   12       5      77.78 
14.   13       4      79.63 
15.   14       6      82.41 
------------------------
16.   15       5      84.72 
17.   16       6      87.50 
18.   17       4      89.35 
19.   18       2      90.28 
20.   20       2      91.20 
------------------------
21.   21       2      92.13 
22.   24       2      93.06 
23.   25       3      94.44 
24.   26       2      95.37 
25.   29       1      95.83 
------------------------
26.   31       1      96.30 
27.   34       2      97.22 
28.   35       2      98.15 
29.   36       1      98.61 
30.   41       1      99.07 
------------------------
31.   46       1      99.54 
32.   47       1     100.00 
------------------------
N   32                    
+------------------------+
list, N(v23)

+------------------------+
v23   _freq   _freqcum 
------------------------
1.    0      22      10.23 
2.    1      20      19.53 
3.    2      16      26.98 
4.    3      17      34.88 
5.    4      17      42.79 
------------------------
6.    5      16      50.23 
7.    6      12      55.81 
8.    7      10      60.47 
9.    8      12      66.05 
10.    9       8      69.77 
------------------------
11.   10      10      74.42 
12.   11       5      76.74 
13.   12       3      78.14 
14.   13       2      79.07 
15.   14       8      82.79 
------------------------
16.   15       4      84.65 
17.   16       3      86.05 
18.   17       1      86.51 
19.   18       1      86.98 
20.   19       2      87.91 
------------------------
21.   20       5      90.23 
22.   21       5      92.56 
23.   23       1      93.02 
24.   25       2      93.95 
25.   26       3      95.35 
------------------------
26.   27       1      95.81 
27.   28       2      96.74 
28.   31       1      97.21 
29.   33       1      97.67 
30.   36       1      98.14 
------------------------
31.   38       1      98.60 
32.   39       1      99.07 
33.   43       1      99.53 
34.   45       1     100.00 
------------------------
N   34                    
+------------------------+
list, N(v24)

+------------------------+
v24   _freq   _freqcum 
------------------------
1.    0      18       9.38 
2.    1      25      22.40 
3.    2      19      32.29 
4.    3       6      35.42 
5.    4      16      43.75 
------------------------
6.    5       9      48.44 
7.    6      11      54.17 
8.    7      11      59.90 
9.    8       8      64.06 
10.    9       5      66.67 
------------------------
11.   10       6      69.79 
12.   11       2      70.83 
13.   12       4      72.92 
14.   13       3      74.48 
15.   14       3      76.04 
------------------------
16.   15       5      78.65 
17.   16       2      79.69 
18.   17       4      81.77 
19.   18       2      82.81 
20.   19       3      84.38 
------------------------
21.   20       8      88.54 
22.   22       1      89.06 
23.   23       3      90.63 
24.   25       4      92.71 
25.   26       2      93.75 
------------------------
26.   27       1      94.27 
27.   28       1      94.79 
28.   29       1      95.31 
29.   30       2      96.35 
30.   35       1      96.88 
------------------------
31.   36       2      97.92 
32.   40       1      98.44 
33.   48       1      98.96 
34.   50       1      99.48 
35.   75       1     100.00 
------------------------
N   35                    
+------------------------+
list, N(v25)

+------------------------+
v25   _freq   _freqcum 
------------------------
1.    0      12       6.45 
2.    1       8      10.75 
3.    2      16      19.35 
4.    3      21      30.65 
5.    4       7      34.41 
------------------------
6.    5      13      41.40 
7.    6      12      47.85 
8.    7      15      55.91 
9.    8       8      60.22 
10.    9      11      66.13 
------------------------
11.   10       1      66.67 
12.   11       5      69.35 
13.   12       5      72.04 
14.   13       2      73.12 
15.   14       2      74.19 
------------------------
16.   15       9      79.03 
17.   16       5      81.72 
18.   17       4      83.87 
19.   18       1      84.41 
20.   19       3      86.02 
------------------------
21.   20       1      86.56 
22.   21       2      87.63 
23.   22       3      89.25 
24.   23       3      90.86 
25.   25       3      92.47 
------------------------
26.   28       2      93.55 
27.   30       4      95.70 
28.   31       1      96.24 
29.   33       3      97.85 
30.   36       2      98.92 
------------------------
31.   38       1      99.46 
32.   44       1     100.00 
------------------------
N   32                    
+------------------------+
list, N(v26)

+------------------------+
v26   _freq   _freqcum 
------------------------
1.    0      24      12.50 
2.    1      17      21.35 
3.    2      13      28.13 
4.    3      15      35.94 
5.    4      12      42.19 
------------------------
6.    5      14      49.48 
7.    6      14      56.77 
8.    7       9      61.46 
9.    8       3      63.02 
10.    9       2      64.06 
------------------------
11.   10       4      66.15 
12.   11       8      70.31 
13.   12       5      72.92 
14.   13       4      75.00 
15.   15       7      78.65 
------------------------
16.   16       3      80.21 
17.   17       6      83.33 
18.   18       5      85.94 
19.   19       4      88.02 
20.   20       1      88.54 
------------------------
21.   21       2      89.58 
22.   22       3      91.15 
23.   24       1      91.67 
24.   25       1      92.19 
25.   26       1      92.71 
------------------------
26.   28       1      93.23 
27.   29       2      94.27 
28.   30       1      94.79 
29.   31       1      95.31 
30.   32       1      95.83 
------------------------
31.   33       1      96.35 
32.   34       1      96.88 
33.   36       1      97.40 
34.   40       1      97.92 
35.   42       1      98.44 
------------------------
36.   43       1      98.96 
37.   44       1      99.48 
38.   76       1     100.00 
------------------------
N   38                    
+------------------------+

list, N(v27)

+------------------------+
v27   _freq   _freqcum 
------------------------
1.    0      13       6.53 
2.    1      22      17.59 
3.    2      20      27.64 
4.    3      15      35.18 
5.    4      13      41.71 
------------------------
6.    5      13      48.24 
7.    6      11      53.77 
8.    7      12      59.80 
9.    8       9      64.32 
10.    9       6      67.34 
------------------------
11.   10       5      69.85 
12.   11       8      73.87 
13.   12       6      76.88 
14.   13       5      79.40 
15.   14       2      80.40 
------------------------
16.   15       2      81.41 
17.   16       1      81.91 
18.   17       4      83.92 
19.   18       3      85.43 
20.   19       1      85.93 
------------------------
21.   20       2      86.93 
22.   21       1      87.44 
23.   22       1      87.94 
24.   23       2      88.94 
25.   24       2      89.95 
------------------------
26.   25       2      90.95 
27.   26       1      91.46 
28.   27       5      93.97 
29.   28       2      94.97 
30.   30       3      96.48 
------------------------
31.   32       1      96.98 
32.   33       1      97.49 
33.   34       1      97.99 
34.   39       1      98.49 
35.   40       1      98.99 
------------------------
36.   42       1      99.50 
37.   46       1     100.00 
------------------------
N   37                    
+------------------------+

list, N(v28)

+------------------------+
v28   _freq   _freqcum 
------------------------
1.    0      19       8.96 
2.    1      14      15.57 
3.    2      26      27.83 
4.    3      18      36.32 
5.    4      11      41.51 
------------------------
6.    5      13      47.64 
7.    6      10      52.36 
8.    7       8      56.13 
9.    8      10      60.85 
10.    9       9      65.09 
------------------------
11.   10      10      69.81 
12.   11      12      75.47 
13.   12       3      76.89 
14.   13       5      79.25 
15.   14       6      82.08 
------------------------
16.   15       5      84.43 
17.   16       3      85.85 
18.   17       1      86.32 
19.   19       2      87.26 
20.   20       3      88.68 
------------------------
21.   21       4      90.57 
22.   22       3      91.98 
23.   23       3      93.40 
24.   24       6      96.23 
25.   25       1      96.70 
------------------------
26.   26       1      97.17 
27.   29       2      98.11 
28.   33       1      98.58 
29.   35       1      99.06 
30.   42       1      99.53 
------------------------
31.   44       1     100.00 
------------------------
N   31                    
+------------------------+

list, N(v29)

+------------------------+
v29   _freq   _freqcum 
------------------------
1.    0      21       9.42 
2.    1      28      21.97 
3.    2      16      29.15 
4.    3      17      36.77 
5.    4      15      43.50 
------------------------
6.    5      10      47.98 
7.    6      16      55.16 
8.    7      12      60.54 
9.    8      10      65.02 
10.    9      12      70.40 
------------------------
11.   10       8      73.99 
12.   11       6      76.68 
13.   12       7      79.82 
14.   13       6      82.51 
15.   14       6      85.20 
------------------------
16.   15       2      86.10 
17.   16       6      88.79 
18.   17       3      90.13 
19.   18       4      91.93 
20.   20       2      92.83 
------------------------
21.   21       1      93.27 
22.   24       2      94.17 
23.   25       1      94.62 
24.   26       3      95.96 
25.   28       2      96.86 
------------------------
26.   30       1      97.31 
27.   31       1      97.76 
28.   34       1      98.21 
29.   35       1      98.65 
30.   46       1      99.10 
------------------------
31.   48       1      99.55 
32.   54       1     100.00 
------------------------
N   32                    
+------------------------+

[LouisBachelier]

list, N(v30)

+------------------------+
v30   _freq   _freqcum 
------------------------
1.    0      26      11.93 
2.    1      20      21.10 
3.    2      20      30.28 
4.    3      19      38.99 
5.    4      16      46.33 
------------------------
6.    5      12      51.83 
7.    6      12      57.34 
8.    7      14      63.76 
9.    8       9      67.89 
10.    9       5      70.18
------------------------
11.   10       8      73.85
12.   11       6      76.61
13.   12       5      78.90
14.   13       6      81.65
15.   14       6      84.40
------------------------
16.   15       4      86.24
17.   16       4      88.07
18.   17       1      88.53
19.   19       2      89.45
20.   20       2      90.37
------------------------
21.   21       3      91.74
22.   22       1      92.20
23.   23       2      93.12
24.   24       3      94.50
25.   27       1      94.95
------------------------
26.   29       1      95.41
27.   30       1      95.87
28.   31       1      96.33
29.   34       1      96.79
30.   35       1      97.25
------------------------
31.   38       2      98.17
32.   41       1      98.62
33.   45       1      99.08
34.   46       1      99.54
35.   51       1     100.00
------------------------
N   35                    
+------------------------+

list, N(v31)

+------------------------+
v31   _freq   _freqcum 
------------------------
1.    0      29      13.74 
2.    1      25      25.59 
3.    2      14      32.23 
4.    3      20      41.71 
5.    4      15      48.82 
------------------------
6.    5      12      54.50 
7.    6       6      57.35 
8.    7       5      59.72 
9.    8       5      62.09 
10.    9      11      67.30
------------------------
11.   10       8      71.09
12.   11       7      74.41
13.   12       6      77.25
14.   14       8      81.04
15.   15       2      81.99
------------------------
16.   16       4      83.89
17.   17       4      85.78
18.   18       3      87.20
19.   19       5      89.57
20.   20       2      90.52
------------------------
21.   21       3      91.94
22.   22       2      92.89
23.   23       3      94.31
24.   25       1      94.79
25.   26       2      95.73
------------------------
26.   29       1      96.21
27.   33       1      96.68
28.   37       1      97.16
29.   39       1      97.63
30.   40       1      98.10
------------------------
31.   42       1      98.58
32.   43       1      99.05
33.   51       1      99.53
34.   74       1     100.00
------------------------
N   34                    
+------------------------+

list, N(v32)

+------------------------+
v32   _freq   _freqcum 
------------------------
1.    0      16       8.16 
2.    1      18      17.35 
3.    2      18      26.53 
4.    3      15      34.18 
5.    4      12      40.31 
------------------------
6.    5      13      46.94 
7.    6       8      51.02 
8.    7       8      55.10 
9.    8       7      58.67 
10.    9       4      60.71
------------------------
11.   10      15      68.37
12.   11       1      68.88
13.   12       6      71.94
14.   13       2      72.96
15.   14      10      78.06
------------------------
16.   15       4      80.10
17.   16       3      81.63
18.   17       3      83.16
19.   18       2      84.18
20.   19       6      87.24
------------------------
21.   20       4      89.29
22.   21       1      89.80
23.   22       2      90.82
24.   23       1      91.33
25.   24       3      92.86
------------------------
26.   25       1      93.37
27.   26       4      95.41
28.   28       1      95.92
29.   29       1      96.43
30.   30       2      97.45
------------------------
31.   34       2      98.47
32.   38       1      98.98
33.   43       1      99.49
34.   47       1     100.00
------------------------
N   34                    
+------------------------+
list, N(v32)

+------------------------+
v32   _freq   _freqcum 
------------------------
1.    0      16       8.16 
2.    1      18      17.35 
3.    2      18      26.53 
4.    3      15      34.18 
5.    4      12      40.31 
------------------------
6.    5      13      46.94 
7.    6       8      51.02 
8.    7       8      55.10 
9.    8       7      58.67 
10.    9       4      60.71
------------------------
11.   10      15      68.37
12.   11       1      68.88
13.   12       6      71.94
14.   13       2      72.96
15.   14      10      78.06
------------------------
16.   15       4      80.10
17.   16       3      81.63
18.   17       3      83.16
19.   18       2      84.18
20.   19       6      87.24
------------------------
21.   20       4      89.29
22.   21       1      89.80
23.   22       2      90.82
24.   23       1      91.33
25.   24       3      92.86
------------------------
26.   25       1      93.37
27.   26       4      95.41
28.   28       1      95.92
29.   29       1      96.43
30.   30       2      97.45
------------------------
31.   34       2      98.47
32.   38       1      98.98
33.   43       1      99.49
34.   47       1     100.00
------------------------
N   34                    
+------------------------+

list, N(v33)

+------------------------+
v33   _freq   _freqcum 
------------------------
1.    0      25      12.02 
2.    1      16      19.71 
3.    2      20      29.33 
4.    3      11      34.62 
5.    4      11      39.90 
------------------------
6.    5      15      47.12 
7.    6      16      54.81 
8.    7      12      60.58 
9.    8       4      62.50 
10.    9       2      63.46
------------------------
11.   10       8      67.31
12.   11       7      70.67
13.   12       6      73.56
14.   13       7      76.92
15.   14       5      79.33
------------------------
16.   15       7      82.69
17.   16       9      87.02
18.   17       3      88.46
19.   18       2      89.42
20.   19       3      90.87
------------------------
21.   20       1      91.35
22.   21       2      92.31
23.   22       1      92.79
24.   23       2      93.75
25.   24       1      94.23
------------------------
26.   27       1      94.71
27.   28       1      95.19
28.   29       1      95.67
29.   30       3      97.12
30.   31       2      98.08
------------------------
31.   34       1      98.56
32.   43       1      99.04
33.   47       1      99.52
34.   56       1     100.00
------------------------
N   34                    
+------------------------+

list, N(v34)

+------------------------+
v34   _freq   _freqcum 
------------------------
1.    0      19       8.72 
2.    1      25      20.18 
3.    2      16      27.52 
4.    3      19      36.24 
5.    4      12      41.74 
------------------------
6.    5      16      49.08 
7.    6      16      56.42 
8.    7      11      61.47 
9.    8      13      67.43 
10.    9       7      70.64
------------------------
11.   10       6      73.39
12.   11      10      77.98
13.   12       5      80.28
14.   13       4      82.11
15.   14       3      83.49
------------------------
16.   15       3      84.86
17.   16       3      86.24
18.   17       2      87.16
19.   18       4      88.99
20.   19       1      89.45
------------------------
21.   20       2      90.37
22.   21       1      90.83
23.   22       3      92.20
24.   23       1      92.66
25.   24       1      93.12
------------------------
26.   25       2      94.04
27.   26       2      94.95
28.   27       2      95.87
29.   29       4      97.71
30.   30       1      98.17
------------------------
31.   34       1      98.62
32.   40       1      99.08
33.   41       1      99.54
34.   64       1     100.00
------------------------
N   34                    
+------------------------+

list, N(v35)

+------------------------+
v35   _freq   _freqcum 
------------------------
1.    0      26      13.27 
2.    1      16      21.43 
3.    2      19      31.12 
4.    3       8      35.20 
5.    4      12      41.33 
------------------------
6.    5       8      45.41 
7.    6      12      51.53 
8.    7       9      56.12 
9.    8      10      61.22 
10.    9       9      65.82
------------------------
11.   10       2      66.84
12.   11       9      71.43
13.   12       6      74.49
14.   13       5      77.04
15.   14       5      79.59
------------------------
16.   15       4      81.63
17.   16       2      82.65
18.   17       3      84.18
19.   18       5      86.73
20.   19       1      87.24
------------------------
21.   20       2      88.27
22.   21       1      88.78
23.   22       3      90.31
24.   23       3      91.84
25.   24       1      92.35
------------------------
26.   26       2      93.37
27.   27       1      93.88
28.   29       2      94.90
29.   32       2      95.92
30.   33       1      96.43
------------------------
31.   34       2      97.45
32.   39       1      97.96
33.   44       1      98.47
34.   45       1      98.98
35.   51       1      99.49
------------------------
36.   54       1     100.00
------------------------
N   36                    
+------------------------+

list, N(v36)

+------------------------+
v36   _freq   _freqcum 
------------------------
1.    0      24      12.12 
2.    1      14      19.19 
3.    2      15      26.77 
4.    3      17      35.35 
5.    4       8      39.39 
------------------------
6.    5       9      43.94 
7.    6      18      53.03 
8.    7      10      58.08 
9.    8       7      61.62 
10.    9       7      65.15
------------------------
11.   10       8      69.19
12.   11       7      72.73
13.   12       6      75.76
14.   13       1      76.26
15.   14       5      78.79
------------------------
16.   15       5      81.31
17.   16       6      84.34
18.   18       5      86.87
19.   19       2      87.88
20.   20       3      89.39
------------------------
21.   21       1      89.90
22.   22       3      91.41
23.   23       1      91.92
24.   24       1      92.42
25.   26       2      93.43
------------------------
26.   27       3      94.95
27.   29       1      95.45
28.   30       1      95.96
29.   31       3      97.47
30.   32       1      97.98
------------------------
31.   40       1      98.48
32.   48       1      98.99
33.   57       1      99.49
34.   58       1     100.00
------------------------
N   34                    
+------------------------+

list, N(v37)

+------------------------+
v37   _freq   _freqcum 
------------------------
1.    0      18       9.14 
2.    1      10      14.21 
3.    2      14      21.32 
4.    3      16      29.44 
5.    4      14      36.55 
------------------------
6.    5      16      44.67 
7.    6       7      48.22 
8.    7      16      56.35 
9.    8      10      61.42 
10.    9      12      67.51
------------------------
11.   10      11      73.10
12.   11       4      75.13
13.   12       3      76.65
14.   13       3      78.17
15.   14       3      79.70
------------------------
16.   15       2      80.71
17.   16       5      83.25
18.   17       1      83.76
19.   18       6      86.80
20.   19       2      87.82
------------------------
21.   20       3      89.34
22.   21       3      90.86
23.   23       1      91.37
24.   25       4      93.40
25.   26       1      93.91
------------------------
26.   27       2      94.92
27.   28       1      95.43
28.   29       1      95.94
29.   31       2      96.95
30.   32       2      97.97
------------------------
31.   33       1      98.48
32.   34       1      98.98
33.   42       1      99.49
34.   69       1     100.00
------------------------
N   34                    
+------------------------+

list, N(v38)

+------------------------+
v38   _freq   _freqcum 
------------------------
1.    0      22      10.63 
2.    1      16      18.36 
3.    2      11      23.67 
4.    3      23      34.78 
5.    4      16      42.51 
------------------------
6.    5      14      49.28 
7.    6       9      53.62 
8.    7       9      57.97 
9.    8       9      62.32 
10.    9      12      68.12
------------------------
11.   10       4      70.05
12.   11       5      72.46
13.   12       5      74.88
14.   13       3      76.33
15.   14       9      80.68
------------------------
16.   15       6      83.57
17.   16       7      86.96
18.   17       2      87.92
19.   18       1      88.41
20.   19       2      89.37
------------------------
21.   20       2      90.34
22.   21       3      91.79
23.   23       1      92.27
24.   24       1      92.75
25.   25       1      93.24
------------------------
26.   26       2      94.20
27.   27       1      94.69
28.   28       1      95.17
29.   29       1      95.65
30.   30       2      96.62
------------------------
31.   34       3      98.07
32.   38       1      98.55
33.   39       1      99.03
34.   40       1      99.52
35.   47       1     100.00
------------------------
N   35                    
+------------------------+

list, N(v39)

+------------------------+
v39   _freq   _freqcum 
------------------------
1.    0      19       9.69 
2.    1      15      17.35 
3.    2      20      27.55 
4.    3      15      35.20 
5.    4      17      43.88 
------------------------
6.    5      14      51.02 
7.    6       6      54.08 
8.    7       5      56.63 
9.    8       6      59.69 
10.    9       8      63.78
------------------------
11.   10      11      69.39
12.   11      11      75.00
13.   12       6      78.06
14.   13       3      79.59
15.   14       2      80.61
------------------------
16.   15       2      81.63
17.   16       7      85.20
18.   17       3      86.73
19.   18       1      87.24
20.   19       1      87.76
------------------------
21.   20       1      88.27
22.   21       2      89.29
23.   22       2      90.31
24.   23       4      92.35
25.   26       1      92.86
------------------------
26.   27       1      93.37
27.   28       2      94.39
28.   29       1      94.90
29.   32       2      95.92
30.   34       1      96.43
------------------------
31.   35       1      96.94
32.   37       1      97.45
33.   38       1      97.96
34.   41       1      98.47
35.   50       1      98.98
------------------------
36.   54       1      99.49
37.   83       1     100.00
------------------------
N   37

[LouisBachelier]

list, N(v40)

+------------------------+
v40   _freq   _freqcum 
------------------------
1.    0      19       9.41 
2.    1      15      16.83 
3.    2      18      25.74 
4.    3      19      35.15 
5.    4      12      41.09 
------------------------
6.    5      13      47.52 
7.    6      14      54.46 
8.    7       9      58.91 
9.    8      10      63.86 
10.    9       6      66.83 
------------------------
11.   10       4      68.81 
12.   11       5      71.29 
13.   12       5      73.76 
14.   13       8      77.72 
15.   14       6      80.69 
------------------------
16.   15       4      82.67 
17.   16       5      85.15 
18.   17       3      86.63 
19.   18       4      88.61 
20.   19       3      90.10 
------------------------
21.   21       2      91.09 
22.   24       3      92.57 
23.   26       1      93.07 
24.   27       1      93.56 
25.   28       1      94.06 
------------------------
26.   29       1      94.55 
27.   31       2      95.54 
28.   32       3      97.03 
29.   34       1      97.52 
30.   35       1      98.02 
------------------------
31.   36       1      98.51 
32.   39       1      99.01 
33.   40       1      99.50 
34.   54       1     100.00 
------------------------
N   34                    
+------------------------+

list, N(v41)

+------------------------+
v41   _freq   _freqcum 
------------------------
1.    0      23      10.36 
2.    1      31      24.32 
3.    2      15      31.08 
4.    3      23      41.44 
5.    4      10      45.95 
------------------------
6.    5      10      50.45 
7.    6      15      57.21 
8.    7       6      59.91 
9.    8      11      64.86 
10.    9       8      68.47 
------------------------
11.   10      12      73.87 
12.   11       6      76.58 
13.   12       1      77.03 
14.   13       3      78.38 
15.   14       8      81.98 
------------------------
16.   15       2      82.88 
17.   16       7      86.04 
18.   17       2      86.94 
19.   18       4      88.74 
20.   19       3      90.09 
------------------------
21.   20       5      92.34 
22.   21       2      93.24 
23.   22       1      93.69 
24.   23       2      94.59 
25.   24       1      95.05 
------------------------
26.   25       1      95.50 
27.   27       2      96.40 
28.   29       3      97.75 
29.   33       1      98.20 
30.   34       1      98.65 
------------------------
31.   42       1      99.10 
32.   51       1      99.55 
33.   52       1     100.00 
------------------------
N   33                    
+------------------------+

list, N(v42)

+------------------------+
v42   _freq   _freqcum 
------------------------
1.    0      19       8.88 
2.    1      18      17.29 
3.    2      20      26.64 
4.    3      13      32.71 
5.    4      18      41.12 
------------------------
6.    5      21      50.93 
7.    6      12      56.54 
8.    7       6      59.35 
9.    8      13      65.42 
10.    9       3      66.82 
------------------------
11.   10       5      69.16 
12.   11       7      72.43 
13.   12       5      74.77 
14.   13       8      78.50 
15.   14       5      80.84 
------------------------
16.   15       7      84.11 
17.   16       1      84.58 
18.   17       6      87.38 
19.   18       4      89.25 
20.   20       4      91.12 
------------------------
21.   21       4      92.99 
22.   22       1      93.46 
23.   23       1      93.93 
24.   24       1      94.39 
25.   25       3      95.79 
------------------------
26.   26       4      97.66 
27.   28       1      98.13 
28.   35       1      98.60 
29.   42       2      99.53 
30.   50       1     100.00 
------------------------
N   30                    
+------------------------+

list, N(v43)

+------------------------+
v43   _freq   _freqcum 
------------------------
1.    0      17       8.33 
2.    1      16      16.18 
3.    2      16      24.02 
4.    3      22      34.80 
5.    4      15      42.16 
------------------------
6.    5      10      47.06 
7.    6      12      52.94 
8.    7      12      58.82 
9.    8       8      62.75 
10.    9       8      66.67 
------------------------
11.   10       7      70.10 
12.   11       8      74.02 
13.   12       3      75.49 
14.   13       5      77.94 
15.   14       4      79.90 
------------------------
16.   15       2      80.88 
17.   16       5      83.33 
18.   17       2      84.31 
19.   18       1      84.80 
20.   19       4      86.76 
------------------------
21.   20       5      89.22 
22.   21       2      90.20 
23.   22       3      91.67 
24.   24       3      93.14 
25.   25       1      93.63 
------------------------
26.   26       1      94.12 
27.   27       1      94.61 
28.   28       3      96.08 
29.   29       2      97.06 
30.   30       2      98.04 
------------------------
31.   31       2      99.02 
32.   51       1      99.51 
33.   54       1     100.00 
------------------------
N   33                    
+------------------------+

list, N(v44)

+------------------------+
v44   _freq   _freqcum 
------------------------
1.    0      20      10.15 
2.    1      16      18.27 
3.    2      13      24.87 
4.    3      10      29.95 
5.    4      17      38.58 
------------------------
6.    5      11      44.16 
7.    6       7      47.72 
8.    7      13      54.31 
9.    8      18      63.45 
10.    9       6      66.50 
------------------------
11.   10      10      71.57 
12.   11       4      73.60 
13.   12       6      76.65 
14.   13       2      77.66 
15.   14       2      78.68 
------------------------
16.   15       7      82.23 
17.   16       5      84.77 
18.   17       1      85.28 
19.   19       4      87.31 
20.   20       2      88.32 
------------------------
21.   21       6      91.37 
22.   23       2      92.39 
23.   24       2      93.40 
24.   25       1      93.91 
25.   26       3      95.43 
------------------------
26.   27       1      95.94 
27.   31       1      96.45 
28.   32       1      96.95 
29.   33       1      97.46 
30.   35       1      97.97 
------------------------
31.   36       1      98.48 
32.   49       1      98.98 
33.   53       1      99.49 
34.   55       1     100.00 
------------------------
N   34                    
+------------------------+

list, N(v45)

+------------------------+
v45   _freq   _freqcum 
------------------------
1.    0      25      13.59 
2.    1      21      25.00 
3.    2      10      30.43 
4.    3      15      38.59 
5.    4       7      42.39 
------------------------
6.    5      11      48.37 
7.    6      10      53.80 
8.    7       6      57.07 
9.    8       9      61.96 
10.    9       4      64.13 
------------------------
11.   10       7      67.93 
12.   11       5      70.65 
13.   12       1      71.20 
14.   13       4      73.37 
15.   14       7      77.17 
------------------------
16.   15       5      79.89 
17.   16       5      82.61 
18.   17       1      83.15 
19.   18       5      85.87 
20.   19       3      87.50 
------------------------
21.   20       1      88.04 
22.   21       3      89.67 
23.   22       1      90.22 
24.   23       1      90.76 
25.   24       2      91.85 
------------------------
26.   27       1      92.39 
27.   30       1      92.93 
28.   31       2      94.02 
29.   32       1      94.57 
30.   33       1      95.11 
------------------------
31.   34       2      96.20 
32.   35       1      96.74 
33.   41       1      97.28 
34.   44       1      97.83 
35.   50       1      98.37 
------------------------
36.   64       1      98.91 
37.   73       1      99.46 
38.   80       1     100.00 
------------------------
N   38                    
+------------------------+

list, N(v46)

+------------------------+
v46   _freq   _freqcum 
------------------------
1.    0      14       7.11 
2.    1      19      16.75 
3.    2       9      21.32 
4.    3      14      28.43 
5.    4      16      36.55 
------------------------
6.    5      14      43.65 
7.    6      12      49.75 
8.    7      10      54.82 
9.    8       8      58.88 
10.    9      10      63.96 
------------------------
11.   10       5      66.50 
12.   11      12      72.59 
13.   12       6      75.63 
14.   13       4      77.66 
15.   14       5      80.20 
------------------------
16.   15       2      81.22 
17.   16       5      83.76 
18.   17       3      85.28 
19.   18       4      87.31 
20.   19       6      90.36 
------------------------
21.   20       1      90.86 
22.   21       2      91.88 
23.   22       1      92.39 
24.   23       3      93.91 
25.   24       1      94.42 
------------------------
26.   25       1      94.92 
27.   26       1      95.43 
28.   28       1      95.94 
29.   29       1      96.45 
30.   30       1      96.95 
------------------------
31.   31       1      97.46 
32.   32       2      98.48 
33.   40       1      98.98 
34.   42       1      99.49 
35.   52       1     100.00 
------------------------
N   35                    
+------------------------+

list, N(v47)

+------------------------+
v47   _freq   _freqcum 
------------------------
1.    0      23      11.06 
2.    1       8      14.90 
3.    2      20      24.52 
4.    3      20      34.13 
5.    4      13      40.38 
------------------------
6.    5      12      46.15 
7.    6      16      53.85 
8.    7       8      57.69 
9.    8      10      62.50 
10.    9      11      67.79 
------------------------
11.   10      11      73.08 
12.   11       6      75.96 
13.   12       8      79.81 
14.   14       3      81.25 
15.   15       5      83.65 
------------------------
16.   16       2      84.62 
17.   17       3      86.06 
18.   18       1      86.54 
19.   19       2      87.50 
20.   20       1      87.98 
------------------------
21.   21       2      88.94 
22.   22       1      89.42 
23.   23       5      91.83 
24.   24       3      93.27 
25.   25       2      94.23 
------------------------
26.   26       1      94.71 
27.   27       1      95.19 
28.   28       1      95.67 
29.   29       3      97.12 
30.   32       1      97.60 
------------------------
31.   34       1      98.08 
32.   35       1      98.56 
33.   36       1      99.04 
34.   40       1      99.52 
35.   42       1     100.00 
------------------------
N   35                    
+------------------------+


list, N(v48)

+------------------------+
v48   _freq   _freqcum 
------------------------
1.    0      23      10.04 
2.    1      23      20.09 
3.    2      24      30.57 
4.    3      17      37.99 
5.    4      18      45.85 
------------------------
6.    5      10      50.22 
7.    6      15      56.77 
8.    7      11      61.57 
9.    8       7      64.63 
10.    9      10      69.00 
------------------------
11.   10      11      73.80 
12.   11      10      78.17 
13.   12       7      81.22 
14.   13       4      82.97 
15.   14       1      83.41 
------------------------
16.   15       2      84.28 
17.   16       5      86.46 
18.   17       2      87.34 
19.   18       4      89.08 
20.   19       6      91.70 
------------------------
21.   20       2      92.58 
22.   21       1      93.01 
23.   22       1      93.45 
24.   23       1      93.89 
25.   24       1      94.32 
------------------------
26.   25       3      95.63 
27.   26       1      96.07 
28.   27       1      96.51 
29.   28       1      96.94 
30.   29       2      97.82 
------------------------
31.   30       2      98.69 
32.   32       1      99.13 
33.   38       2     100.00 
------------------------
N   33                    
+------------------------+

list, N(v49)

+------------------------+
v49   _freq   _freqcum 
------------------------
1.    0      11       5.47 
2.    1      24      17.41 
3.    2      19      26.87 
4.    3      18      35.82 
5.    4      11      41.29 
------------------------
6.    5      13      47.76 
7.    6      14      54.73 
8.    7       9      59.20 
9.    8      10      64.18 
10.    9       4      66.17 
------------------------
11.   10       6      69.15 
12.   11       4      71.14 
13.   12       7      74.63 
14.   13       4      76.62 
15.   15       5      79.10 
------------------------
16.   16       5      81.59 
17.   17       6      84.58 
18.   18       3      86.07 
19.   19       4      88.06 
20.   20       1      88.56 
------------------------
21.   21       3      90.05 
22.   22       1      90.55 
23.   23       2      91.54 
24.   25       3      93.03 
25.   26       1      93.53 
------------------------
26.   27       1      94.03 
27.   28       1      94.53 
28.   29       1      95.02 
29.   30       3      96.52 
30.   31       2      97.51 
------------------------
31.   36       1      98.01 
32.   37       1      98.51 
33.   38       2      99.50 
34.   47       1     100.00 
------------------------
N   34

[BrianPA]

And your point is??

I have not the slightest clue on what you are trying to point out. This is nothing new if you use Ions software.

I don't mean to be rude with this post, just don't understand what you are getting at.

[LouisBachelier]

The point is to illustrate the skip filter (yes they come from Ions software!); nothing new: the median role is there, in the range of other distribution percentages.
I believe in the importance to get an pretty good understanding of the games we are dealing with.
Redundance in the explanations is not a drawback.
Regards
LB

[DonSal]

The point is to illustrate the skip filter (yes they come from Ions software!); nothing new: the median role is there, in the range of other distribution percentages.
I believe in the importance to get an pretty good understanding of the games we are dealing with.
Redundance in the explanations is not a drawback.
Regards
LB

Ions software is necessarily heavy with theory....any small point that will make it practically easier for an amateur like me to use the software and win the lottery or at least dont waste money buying everyweek in vain will be welcomed.

DonRoul

[BrianPA]

The point is to illustrate the skip filter (yes they come from Ions software!); nothing new: the median role is there, in the range of other distribution percentages.
I believe in the importance to get an pretty good understanding of the games we are dealing with.
Redundance in the explanations is not a drawback.
Regards
LB

You are absolutely correct in everything you stated. I just didn't understand if it was going somewhere or not. You have made good points Louis, just next time, if you could include as to why you are posting the reports would be nice.

No hard feelings!!

GOOD SKILLS!
BrianPA