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Here's the first part of my system that I've been talking about.

Topic closed. 27 replies. Last post 9 years ago by BobP.

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ArtVandalay's avatar - 3237774708 dd3351ee2c_m.jpg
Arizona
United States
Member #52803
June 10, 2007
88 Posts
Offline
Posted: April 19, 2008, 11:01 pm - IP Logged

            Well, I'm going to try and show all of you what my system is.  Funny, but I didn't think of how "involved" my system was until I started to try and explain it in writing.  I'll explain my system for Powerball even though it can be used/modified for other systems.  In fact, I first developed this system for the Arizona Pick 6 Lottery, and I believe that it works best for the "simple, straight-forward" lottery.  All that you'll need is a spreadsheet (I use MS Excell) and a good knowledge of algebra.

 

            First, I look at the latest history of the Powerball drawings.  I would prefer at least 55 drawings but no more than 110 (just an intuitive guess), and I arrange them as follows:

 

 

 

Date

B1

B2

B3

B4

B5

Sum

BB

 

1

11/24/2007

1

7

13

23

35

79

19

 

2

12/5/2007

1

8

15

21

55

100

41

 

3

11/3/2007

1

31

38

40

53

163

42

 

4

4/2/2008

1

34

37

44

55

171

33

 

5

10/3/2007

2

4

14

15

28

63

23

1

6

1/2/2008

2

11

31

34

48

126

5

 

7

1/9/2008

2

13

20

21

23

79

24

2

8

1/30/2008

2

17

41

54

55

169

17

3

9

3/1/2008

2

19

21

31

55

128

19

4

10

2/16/2008

3

4

8

20

49

84

18

5

11

2/6/2008

3

5

12

42

43

105

5

 

12

11/21/2007

3

11

13

20

40

87

20

 

13

4/9/2008

3

13

19

32

46

113

18

6

14

12/8/2007

4

8

25

29

31

97

41

 

15

9/22/2007

4

9

18

43

55

129

3

7

16

1/5/2008

4

11

16

33

40

104

9

8

17

1/23/2008

4

16

35

47

48

150

39

 

18

2/9/2008

4

23

24

30

43

124

28

 

19

12/22/2007

5

10

11

34

38

98

21

9

20

9/12/2007

5

24

26

33

47

135

1

 

 

 

 

 

 

 

 

 

 

28

51

10/27/2007

13

25

30

40

43

151

12

 

52

10/17/2007

14

15

19

42

46

136

37

29

53

2/2/2008

14

16

25

26

44

125

30

 

54

12/19/2007

15

18

22

23

42

120

37

30

55

11/14/2007

16

18

20

30

48

132

6

 

56

11/17/2007

17

27

49

52

53

198

23

 

57

3/8/2008

17

29

31

34

49

160

16

31

58

3/29/2008

18

20

25

31

36

130

7

32

59

1/19/2008

20

23

25

27

28

123

2

 

60

2/27/2008

20

24

37

48

53

182

11

 

61

9/19/2007

20

25

26

45

46

162

15

 

62

10/13/2007

21

30

34

36

49

170

42

33

63

11/7/2007

22

29

35

46

52

184

2

 

64

12/15/2007

22

37

47

48

50

204

17

 

65

1/12/2008

23

39

43

47

53

205

14

34

66

9/26/2007

25

27

31

44

54

181

8

35

67

9/29/2007

31

33

38

49

55

206

39

 

 

 

 

 

 

 

 

 

 

0.522388

 

 

>=1

>=11

>=16

>=23

>=37

>=101

 

 

 

 

 

 

 

 

 

 

 

0.477612

 

 

<=20

<=31

<=36

<=47

<=55

<=162

 

 

 

 

 

 

 

 

 

 

 

 

 

 

20

21

20

25

19

 

 

 

 

Notice that I've sorted by B1 then B2 then B3, all ascending (rows 21 to 50 omitted).  Now, in B1, numbers 21 and higher are marked in red (just ignore all the other red for right now).  I marked them in red because they are the last 10% (approx) of the table.  Now notice

 

 

 

Date

B1

B2

B3

B4

B5

Sum

BB

 

1

2/16/2008

3

4

8

20

49

84

18

 

2

10/3/2007

2

4

14

15

28

63

23

 

3

2/6/2008

3

5

12

42

43

105

5

 

4

11/24/2007

1

7

13

23

35

79

19

 

5

12/5/2007

1

8

15

21

55

100

41

1

6

12/8/2007

4

8

25

29

31

97

41

 

7

3/19/2008

6

8

29

41

49

133

42

2

8

9/22/2007

4

9

18

43

55

129

3

3

9

12/22/2007

5

10

11

34

38

98

21

4

10

11/21/2007

3

11

13

20

40

87

20

5

11

1/5/2008

4

11

16

33

40

104

9

 

12

10/24/2007

10

11

18

49

52

140

2

 

13

1/2/2008

2

11

31

34

48

126

5

6

14

10/20/2007

10

11

37

40

54

152

10

 

15

12/29/2007

8

12

17

35

49

121

18

7

16

2/20/2008

9

12

20

22

36

99

31

8

17

3/26/2008

9

12

20

37

49

127

17

 

18

9/8/2007

7

12

28

30

48

125

40

 

19

4/9/2008

3

13

19

32

46

113

18

9

20

1/9/2008

2

13

20

21

23

79

24

 

 

 

 

 

 

 

 

 

 

28

51

10/27/2007

13

25

30

40

43

151

12

 

52

4/5/2008

12

27

30

37

47

153

26

29

53

9/26/2007

25

27

31

44

54

181

8

 

54

11/17/2007

17

27

49

52

53

198

23

30

55

3/8/2008

17

29

31

34

49

160

16

 

56

11/7/2007

22

29

35

46

52

184

2

 

57

4/12/2008

11

29

48

52

55

195

18

31

58

10/6/2007

8

30

32

33

51

154

2

32

59

10/13/2007

21

30

34

36

49

170

42

 

60

11/3/2007

1

31

38

40

53

163

42

 

61

12/1/2007

7

32

39

41

55

174

13

 

62

12/26/2007

8

32

41

54

55

190

20

33

63

9/29/2007

31

33

38

49

55

206

39

 

64

4/2/2008

1

34

37

44

55

171

33

 

65

1/26/2008

11

35

39

53

54

192

24

34

66

12/15/2007

22

37

47

48

50

204

17

35

67

1/12/2008

23

39

43

47

53

205

14

 

 

 

 

 

 

 

 

 

 

0.522388

 

 

>=1

>=11

>=16

>=23

>=37

>=101

 

 

 

 

 

 

 

 

 

 

 

0.477612

 

 

<=20

<=31

<=36

<=47

<=55

<=162

 

 

 

 

 

 

 

 

 

 

 

 

 

 

20

21

20

25

19

 

 

 

Now, I've sorted B2 then B3 them B4, all ascending (rows 21 to 50 omitted).  Now, notice that numbers 4 to 10 and 32 to 39 are in red, the front and back 10% (approx) (again, just ignore all of the other red for right now.).  I do this same process for B3, B4, B5, and the Sum of B1 to B5.  I mark the front and back 10% (approx) in red.  Now, for ease of record keeping, any line that has red in it, I mark the date in red.  And I count the number of dates in red, giving me in the end, the following:

 

 

 

Date

B1

B2

B3

B4

B5

Sum

BB

 

1

8/29/2007

13

16

33

44

47

153

29

 

2

9/1/2007

12

19

23

37

39

130

13

 

3

9/5/2007

11

20

21

30

48

130

18

 

4

9/8/2007

7

12

28

30

48

125

40

 

5

9/12/2007

5

24

26

33

47

135

1

1

6

9/15/2007

13

16

27

48

51

155

21

 

7

9/19/2007

20

25

26

45

46

162

15

2

8

9/22/2007

4

9

18

43

55

129

3

3

9

9/26/2007

25

27

31

44

54

181

8

4

10

9/29/2007

31

33

38

49

55

206

39

5

11

10/3/2007

2

4

14

15

28

63

23

 

12

10/6/2007

8

30

32

33

51

154

2

 

13

10/10/2007

12

16

31

33

54

146

5

6

14

10/13/2007

21

30

34

36

49

170

42

 

15

10/17/2007

14

15

19

42

46

136

37

7

16

10/20/2007

10

11

37

40

54

152

10

8

17

10/24/2007

10

11

18

49

52

140

2

 

18

10/27/2007

13

25

30

40

43

151

12

 

19

10/31/2007

6

16

18

29

37

106

24

9

20

11/3/2007

1

31

38

40

53

163

42

10

21

11/7/2007

22

29

35

46

52

184

2

11

22

11/10/2007

6

22

24

26

30

108

12

 

23

11/14/2007

16

18

20

30

48

132

6

12

24

11/17/2007

17

27

49

52

53

198

23

13

25

11/21/2007

3

11

13

20

40

87

20

14

26

11/24/2007

1

7

13

23

35

79

19

 

27

11/28/2007

8

23

32

37

39

139

38

15

28

12/1/2007

7

32

39

41

55

174

13

16

29

12/5/2007

1

8

15

21

55

100

41

17

30

12/8/2007

4

8

25

29

31

97

41

 

31

12/12/2007

7

14

33

40

55

149

15

18

32

12/15/2007

22

37

47

48

50

204

17

 

33

12/19/2007

15

18

22

23

42

120

37

19

34

12/22/2007

5

10

11

34

38

98

21

20

35

12/26/2007

8

32

41

54

55

190

20

 

36

12/29/2007

8

12

17

35

49

121

18

 

37

1/2/2008

2

11

31

34

48

126

5

 

38

1/5/2008

4

11

16

33

40

104

9

21

39

1/9/2008

2

13

20

21

23

79

24

22

40

1/12/2008

23

39

43

47

53

205

14

 

41

1/16/2008

9

18

19

38

47

131

11

23

42

1/19/2008

20

23

25

27

28

123

2

 

43

1/23/2008

4

16

35

47

48

150

39

24

44

1/26/2008

11

35

39

53

54

192

24

25

45

1/30/2008

2

17

41

54

55

169

17

 

46

2/2/2008

14

16

25

26

44

125

30

26

47

2/6/2008

3

5

12

42

43

105

5

 

48

2/9/2008

4

23

24

30

43

124

28

 

49

2/13/2008

13

19

32

38

51

153

30

27

50

2/16/2008

3

4

8

20

49

84

18

28

51

2/20/2008

9

12

20

22

36

99

31

 

52

2/23/2008

8

13

23

29

47

120

32

29

53

2/27/2008

20

24

37

48

53

182

11

 

54

3/1/2008

2

19

21

31

55

128

19

30

55

3/5/2008

10

15

16

23

31

95

5

 

56

3/8/2008

17

29

31

34

49

160

16

 

57

3/12/2008

12

19

30

34

36

131

8

31

58

3/15/2008

6

22

42

43

47

160

16

32

59

3/19/2008

6

8

29

41

49

133

42

 

60

3/22/2008

7

25

28

46

48

154

19

 

61

3/26/2008

9

12

20

37

49

127

17

 

62

3/29/2008

18

20

25

31

36

130

7

33

63

4/2/2008

1

34

37

44

55

171

33

 

64

4/5/2008

12

27

30

37

47

153

26

 

65

4/9/2008

3

13

19

32

46

113

18

34

66

4/12/2008

11

29

48

52

55

195

18

35

67

4/16/2008

11

16

18

21

51

117

16

 

 

 

 

 

 

 

 

 

 

0.522388

 

 

>=1

>=11

>=16

>=23

>=37

>=101

 

 

 

 

 

 

 

 

 

 

 

0.477612

 

 

<=20

<=31

<=36

<=47

<=55

<=162

 

 

 

 

 

 

 

 

 

 

 

 

 

 

20

21

20

25

19

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

138.3538

 

 

Here's the results sorted by date only, ascending.  Notice that 35/67 or 52% of the results are in red, meaning that 32/67 or 48% are in black.  Please keep in mind that my results that you see here are also the result of some "fine tuning" of my system on my part.  But I try to keep the break between black and red at about 50%.  Now, what does all of this mean, well, I'll tell you what this means.  What this means is that 48% of the time, 1<=B1<=20, 11<=B2<=31, 16<=B3<=36, 23<=B4<=47, 37<=B5<=55, and 101<=Sum<=162.  Anything that is in black, I call "Normal".  Anything that is in red, I call an "Abberation" or an "Anomally".  Basically, what I'm looking for here is a pattern of "Normallcy" that occurs about 50% of the time.

 

This is just the first part of what I estimate to be a three part system.  I'm gonna post what I have so far, and if Todd lets me, I'll post the rest.

Money can't buy you happiness, but I sure could afford the misery that it brings! Wink

    user044's avatar - Lottery-016.jpg
    Upstate New York
    United States
    Member #48358
    December 23, 2006
    152 Posts
    Offline
    Posted: April 19, 2008, 11:31 pm - IP Logged

    Looks like the makings of a great system. Thanks for passing this on.  Really looking forward to the rest. But will start back testing now.  Thanks again

    Jeff

    Thumbs Up

    Ambition is a poor excuse for not having sense enough to be lazy.

      BobP's avatar - bobp avatar.png
      Dump Water Florida
      United States
      Member #380
      June 5, 2002
      3104 Posts
      Offline
      Posted: April 20, 2008, 1:10 am - IP Logged

      Looks to me like you're teaching yourself Positional Analysis and
      learning to seperate out the abnormal draws.  You could consider
      setting up an independent data base of only "normal" draws to
      work with.  Follow up with positional wheeling and you've got a
      system.

      BobP

        ArtVandalay's avatar - 3237774708 dd3351ee2c_m.jpg
        Arizona
        United States
        Member #52803
        June 10, 2007
        88 Posts
        Offline
        Posted: April 20, 2008, 1:40 am - IP Logged

                    Okay, now for part 2.  I also like to arrange the drawing data as follows:

         

        Number

        B1

        B2

        B3

        B4

        B5

        Sum

        Occ.

        Col.

        1

        4

         

         

         

         

        4

        4

        1

        2

        5

         

         

         

         

        5

        5

        1

        3

        4

         

         

         

         

        4

        4

        1

        4

        5

        2

         

         

         

        7

        7

        2

        5

        2

        1

         

         

         

        3

        3

        2

        6

        4

         

         

         

         

        4

        4

        1

        7

        4

        1

         

         

         

        5

        5

        2

        8

        5

        3

        1

         

         

        9

        9

        3

        9

        3

        1

         

         

         

        4

        4

        2

        10

        3

        1

         

         

         

        4

        4

        2

        11

        4

        5

        1

         

         

        10

        10

        3

        12

        4

        4

        1

         

         

        9

        9

        3

        13

        5

        3

        2

         

         

        10

        10

        3

        14

        2

        1

        1

         

         

        4

        4

        3

        15

        1

        2

        1

        1

         

        5

        5

        4

        16

        1

        7

        2

         

         

        10

        10

        3

        17

        2

        1

        1

         

         

        4

        4

        3

        18

        1

        3

        4

         

         

        8

        8

        3

        19

         

        5

        3

         

         

        8

        8

        2

        20

        3

        2

        4

        2

         

        11

        11

        4

        21

        1

         

        2

        3

         

        6

        6

        3

        22

        2

        2

        1

        1

         

        6

        6

        4

        23

        1

        3

        2

        3

        1

        10

        10

        5

        24

         

        2

        3

         

         

        5

        5

        2

        25

        1

        3

        4

         

         

        8

        8

        3

        26

         

         

        2

        2

         

        4

        4

        2

        27

         

        3

        1

        1

         

        5

        5

        3

        28

         

         

        2

         

        2

        4

        4

        2

        29

         

        3

        1

        3

         

        7

        7

        3

        30

         

        2

        3

        4

        1

        10

        10

        4

        31

        1

        1

        4

        2

        2

        10

        10

        5

        32

         

        2

        3

        1

         

        6

        6

        3

        33

         

        1

        2

        5

         

        8

        8

        3

        34

         

        1

        1

        4

         

        6

        6

        3

        35

         

        1

        2

        1

        1

        5

        5

        4

        36

         

         

         

        1

        3

        4

        4

        2

        37

         

        1

        3

        4

        1

        9

        9

        4

        38

         

         

        2

        2

        1

        5

        5

        3

        39

         

        1

        2

         

        3

        6

        6

        3

        40

         

         

         

        4

        2

        6

        6

        2

        41

         

         

        2

        2

         

        4

        4

        2

        42

         

         

        1

        2

        1

        4

        4

        3

        43

         

         

        1

        2

        3

        6

        6

        3

        44

         

         

         

        3

        1

        4

        4

        2

        45

         

         

         

        1

         

        1

        1

        1

        46

         

         

         

        2

        3

        5

        5

        2

        47

         

         

        1

        2

        6

        9

        9

        3

        48

         

         

        1

        3

        6

        10

        10

        3

        49

         

         

        1

        2

        6

        9

        9

        3

        50

         

         

         

         

        1

        1

        1

        1

        51

         

         

         

         

        4

        4

        4

        1

        52

         

         

         

        2

        2

        4

        4

        2

        53

         

         

         

        1

        4

        5

        5

        2

        54

         

         

         

        2

        4

        6

        6

        2

        55

         

         

         

         

        10

        10

        10

        1

        Totals

        68

        68

        68

        68

        68

        340

        340

         

         

         

         

         

         

         

         

         

         

         

        >=1

        >=11

        >=16

        >=23

        >=37

         

         

         

         

         

         

         

         

         

         

         

         

         

        <=20

        <=31

        <=36

        <=47

        <=55

         

         

         

         

        Notice that this is for 68 drawings.  My 68th Powerball drawing was

         

        68

        4/19/2008

        13

        19

        24

        33

        39

        128

        8

         

        (a "normal" draw ;-)  Also, notice that red in this chart represents the "normal" ranges defined by the previous table.  Occ. is the number of occurances that the number has appeared in the table (also equal to the horizontal sum), and Col. is the number of columns that the number appears in the table.  Some of the information that I acquire/use may be extraneous for the time being, but one never knows when it may be useful in the future.  Now, using the info in this table, I make the following:

         

        Number

        Occ.

        Col.

         

        Number

        Occ.

        Col.

         

        Number

        Occ.

        Col.

        1

        4

        1

         

        20

        11

        4

         

        23

        10

        5

        2

        5

        1

         

        23

        10

        5

         

        31

        10

        5

        3

        4

        1

         

        31

        10

        5

         

        20

        11

        4

        4

        7

        2

         

        30

        10

        4

         

        30

        10

        4

        5

        3

        2

         

        11

        10

        3

         

        37

        9

        4

        6

        4

        1

         

        13

        10

        3

         

        22

        6

        4

        7

        5

        2

         

        16

        10

        3

         

        15

        5

        4

        8

        9

        3

         

        48

        10

        3

         

        35

        5

        4

        9

        4

        2

        1

        55

        10

        1

        1

        11

        10

        3

        10

        4

        2

        2

        37

        9

        4

        2

        13

        10

        3

        11

        10

        3

        3

        8

        9

        3

        3

        16

        10

        3

        12

        9

        3

        4

        12

        9

        3

        4

        48

        10

        3

        13

        10

        3

        5

        47

        9

        3

        5

        8

        9

        3

        14

        4

        3

        6

        49

        9

        3

        6

        12

        9

        3

        15

        5

        4

        7

        18

        8

        3

        7

        47

        9

        3

        16

        10

        3

        8

        25

        8

        3

        8

        49

        9

        3

        17

        4

        3

        9

        33

        8

        3

        9

        18

        8

        3

        18

        8

        3

        10

        19

        8

        2

        10

        25

        8

        3

        19

        8

        2

        11

        29

        7

        3

        11

        33

        8

        3

        20

        11

        4

        12

        4

        7

        2

        12

        29

        7

        3

        21

        6

        3

        13

        22

        6

        4

        13

        21

        6

        3

        22

        6

        4

        14

        21

        6

        3

        14

        32

        6

        3

        23

        10

        5

        15

        32

        6

        3

        15

        34

        6

        3

        24

        5

        2

        16

        34

        6

        3

        16

        39

        6

        3

        25

        8

        3

        17

        39

        6

        3

        17

        43

        6

        3

        26

        4

        2

        18

        43

        6

        3

        18

        27

        5

        3

        27

        5

        3

        19

        40

        6

        2

        19

        38

        5

        3

        28

        4

        2

        20

        54

        6

        2

        20

        14

        4

        3

        29

        7

        3

        21

        15

        5

        4

        21

        17

        4

        3

        30

        10

        4

        22

        35

        5

        4

        22

        42

        4

        3

        31

        10

        5

        23

        27

        5

        3

        23

        19

        8

        2

        32

        6

        3

        24

        38

        5

        3

        24

        4

        7

        2

        33

        8

        3

        25

        7

        5

        2

        25

        40

        6

        2

        34

        6

        3

        26

        24

        5

        2

        26

        54

        6

        2

        35

        5

        4

        27

        46

        5

        2

        27

        7

        5

        2

        36

        4

        2

        28

        53

        5

        2

        28

        24

        5

        2

        37

        9

        4

        29

        2

        5

        1

        29

        46

        5

        2

        38

        5

        3

        30

        14

        4

        3

        30

        53

        5

        2

        39

        6

        3

        31

        17

        4

        3

        31

        9

        4

        2

        40

        6

        2

        32

        42

        4

        3

        32

        10

        4

        2

        41

        4

        2

        33

        9

        4

        2

        33

        26

        4

        2

        42

        4

        3

        34

        10

        4

        2

        34

        28

        4

        2

        43

        6

        3

        35

        26

        4

        2

        35

        36

        4

        2

        44

        4

        2

        36

        28

        4

        2

        36

        41

        4

        2

        45

        1

        1

        37

        36

        4

        2

        37

        44

        4

        2

        46

        5

        2

        38

        41

        4

        2

        38

        52

        4

        2

        47

        9

        3

        39

        44

        4

        2

        39

        5

        3

        2

        48

        10

        3

         

        52

        4

        2

         

        55

        10

        1

        49

        9

        3

         

        1

        4

        1

         

        2

        5

        1

        50

        1

        1

         

        3

        4

        1

         

        1

        4

        1

        51

        4

        1

         

        6

        4

        1

         

        3

        4

        1

        52

        4

        2

         

        51

        4

        1

         

        6

        4

        1

        53

        5

        2

         

        5

        3

        2

         

        51

        4

        1

        54

        6

        2

         

        45

        1

        1

         

        45

        1

        1

        55

        10

        1

         

        50

        1

        1

         

        50

        1

        1

         

        The first table that I make is on the far right, and I sort by Col. then by Occ., descending, then by Number, ascending, then I shade according to Col.  Then I copy this table to the position of the other two tables.  The first table on the left is sorted according to Number, ascending.  The middle table is sorted according to Occ. then by Col., descending, Number, ascending.  All shading is according to Col.

         

        Now, then numbers that I use are according to the middle table.  When I first started this system, I used all hot numbers, meaning that I would "chop" off part of the bottom of the middle table.  But after studying the experience of past results, I believe that the best approach is to use the middle of the table, thereby "chopping" off parts of the top and bottom.  Now what this means is that we are discarding the very hottest and the very coldest of numbers based on past results.  Basically, we're using all "warm" numbers based on our past results.

         

        Based on past results and some "arbitrary" judgement on my part, I've decided to use the 39 numbers inside the red 39 numbers in the middle table in the page.

         

        Number

        Occ.

        Col.

         

        Number

        Occ.

        Col.

        2

        5

        1

         

        1

        4

        1

        4

        7

        2

         

        2

        5

        1

        7

        5

        2

         

        3

        4

        1

        8

        9

        3

         

        4

        7

        2

        9

        4

        2

         

        5

        3

        2

        10

        4

        2

         

        6

        4

        1

        12

        9

        3

         

        7

        5

        2

        14

        4

        3

         

        8

        9

        3

        15

        5

        4

         

        9

        4

        2

        17

        4

        3

         

        10

        4

        2

        18

        8

        3

         

        11

        10

        3

        19

        8

        2

         

        12

        9

        3

        21

        6

        3

         

        13

        10

        3

        22

        6

        4

         

        14

        4

        3

        24

        5

        2

         

        15

        5

        4

        25

        8

        3

         

        16

        10

        3

        26

        4

        2

         

        17

        4

        3

        27

        5

        3

         

        18

        8

        3

        28

        4

        2

         

        19

        8

        2

        29

        7

        3

         

        20

        11

        4

        32

        6

        3

         

        21

        6

        3

        33

        8

        3

         

        22

        6

        4

        34

        6

        3

         

        23

        10

        5

        35

        5

        4

         

        24

        5

        2

        36

        4

        2

         

        25

        8

        3

        37

        9

        4

         

        26

        4

        2

        38

        5

        3

         

        27

        5

        3

        39

        6

        3

         

        28

        4

        2

        40

        6

        2

         

        29

        7

        3

        41

        4

        2

         

        30

        10

        4

        42

        4

        3

         

        31

        10

        5

        43

        6

        3

         

        32

        6

        3

        44

        4

        2