This is pretty deep in “inside baseball” territory, so if you haven’t been following the Hugo awards controversy you’re probably safe ignoring it.

The short version is, after the Sad Puppies kerfuffle this year that screw up the nominations, the WSFS (which administers the Hugos) voted to adopt a new nominating system called “E Pluribus Hugo”. It’s described over here in detail. If the vote is confirmed at next year’s WorldCon, EPH will be used for the 2017 and future Hugos.

Roughly speaking, it works like this. Everybody votes for up to five works as normal. Each ballot is given one point, which is split among the works nominated (so .2 each if you put five) and all the points from all the ballots are added up. The works with the least number of points (at least two, more in the case of ties) are compared, and the one with the fewest votes (i.e. present on the fewest ballots) is eliminated from contention. Then the points are recounted for another round — if one of your works was eliminated, its points are reallocated to the others on your ballot. (So if you nominated five works, at .2 each, and one was eliminated first round, the remaining four would count for .25 each, and so on.)

The point here is to help consolidate the field and reduce the advantages of slate voting. As I wrote earlier, the problem is that slate voting under the “naïve” rules (where you just add up all the votes) is a dominant strategy. Inasmuch as we agree that the awards SHOULD be about nominating stuff you personally thought was the best of the year, rather than coordinating with some slate, then the nomination rules needed to be amended to favor that “strategy” over coordination.

Important Caveat: I am not a voting theory expert! Smarter people than me have thought about this. However, I am a programmer of sorts, and interested in this stuff. So, I wrote up a thing that runs the EPH algorithm on test data. (I obviously don’t have access to actual Hugo data!) I thought other people might get something out of it, so I’m posting it here.

Here is the EPHConsole project as a Visual Studio ’13 project.

Here is the compiled self-installer for the EPHConsole project.

Here is the EXE file, which should work if you have .NET installed on your machine.

Here is an example data file.

Usage is pretty simple: run “EPHConsole.exe [datafile]”, hit enter when it pauses after displaying the parsed ballots, observe the results. The datafile is text, with each ballot on its own line as a set of integers separated by spaces. (“1 2 3 4 5”) There is no validation that ballots are restricted to five votes, or can’t duplicate votes.

If anybody wants to adapt this code to other purposes, modify it, etc, feel free. Shoot me a line and I’ll put a link here. It’s definitely not optimized (for one thing, I used VS and C#, which is way overkill but let me bang it out in a few hours) but it runs on datasets of realistic size in less than a second, so probably not an issue.

(If you use this and find something that you think is a bug, just send me a description and the data file you were using, and I’ll update accordingly.)

Here’s an example, using the data file above. I generated a random assortment of 800 voters choosing among 40 works, with ballots of varying sizes. Then I added 200 voters choosing among 7 works (the “slate”, numbers 41-47) similarly. It gives you a good sense of how EPH works and how it helps the slate problem.

First, it lists the ballot data, which I’ve snipped here. In Round 1, before any eliminations, you can see that the “non-slate” works have between 16.8 and 23.3 points. (800 points divided among 40 works, clustered around 20. Stats!) The “slate” works have between 26.3 and 31.9 points. (200 points divided among 7 works.) So the slate is at the top of the list. (The list is displaying points/# of votes for each work.)

However, as works at the bottom are eliminated and their points reallocated, the non-slate field converges. By round 9, a non-slate work breaks the top five. In round 15, two slate works are pitted against each other, and one is eliminated, consolidating the slate vote. And so on as the rounds continue.

The final tally shows one slate work, the most popular, along with four non-slate works. This is more or less correct, in the sense that the voters were 80% non-slate and 20% slate; the slate voters were neither completely shut out nor completely dominant. So in that sense, EPH works as advertised!

One concern, though, is that the breadth of the field is important. A run with similar numbers of voters, but 80 non-slate works instead of 40, gives two slate winners (though the naïve method would give ALL the slots to the slate), and with 160 gives four slate winners. This gets pretty deep into the voting system weeds — arguably, with 800 voters split over 160 candidates, the 200 voters focused on their seven deserve to win. (The problem really stems from “exhausted ballots” — among the 800, ballots with no remaining candidates don’t have any say at all. But since we can’t get people to do an exhaustive ranking of all possible Hugo candidates, this is inevitable.)

Anyway, enjoy! You can use the contact form to get in touch with me if you have problems, or if you want to share interesting data. I will update this post if I get stuff or need to fix things.



Round 1

16 16.88333/81

14 16.91666/80

5 17.3/83

10 17.35/84

17 17.48333/84

22 17.6/85

30 17.63333/83

34 17.65/86

24 17.8/85

3 17.98333/86

13 18.18333/86

39 18.28333/86

2 18.51666/88

12 18.58333/88

18 18.95/91

1 19.4/93

26 19.55/93

28 19.58334/94

32 19.65/93

9 19.85/96

4 19.9/96

25 20.41667/95

23 20.41667/96

36 21.06667/99

31 21.25001/102

35 21.40001/100

8 21.40001/102

6 21.53334/101

20 21.56668/103

27 21.56668/102

40 21.85001/104

21 21.86668/104

11 22.06668/103

38 22.13334/105

37 22.20001/107

33 22.33334/107

19 22.50001/107

7 22.78335/107

15 23.23335/108

29 23.36668/111

43 26.31668/98

41 26.78334/99

47 28.05001/104

42 28.06668/101

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 16.91666

Eliminating 14.

Round 2

16 17.23333/81

5 17.45/83

10 17.65/84

22 17.8/85

17 17.83333/84

34 17.9/86

30 18.05/83

24 18.26666/85

3 18.33333/86

13 18.6/86

39 18.75/86

12 19.05/88

2 19.08333/88

18 19.35/91

1 19.71667/93

26 19.75/93

28 20.11667/94

9 20.18334/96

32 20.2/93

4 20.28334/96

23 20.70001/96

25 21.53334/95

8 21.73334/102

36 21.81668/99

20 21.81668/103

31 21.83334/102

27 21.83334/102

6 21.91667/101

35 21.96667/100

40 22.33334/104

38 22.43334/105

21 22.45001/104

37 22.53334/107

19 22.85001/107

33 22.86668/107

11 22.93334/103

7 23.18335/107

15 23.66668/108

29 24.00001/111

43 26.31668/98

41 26.78334/99

47 28.05001/104

42 28.06668/101

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 17.45

Eliminating 16.

Round 3

22 18.03333/85

10 18.05/84

5 18.06666/83

17 18.16666/84

34 18.23333/86

30 18.48334/83

24 18.51667/85

39 18.9/86

3 18.98334/86

2 19.33333/88

12 19.33333/88

13 19.38333/86

18 19.71667/91

1 20.21667/93

26 20.35/93

9 20.51667/96

32 20.51667/93

28 20.55/94

4 20.63334/96

23 21.28334/96

25 21.73334/95

35 22.11667/100

8 22.25001/102

31 22.31667/102

6 22.41667/101

27 22.41668/102

20 22.46668/103

36 22.58334/99

40 22.66667/104

21 22.73335/104

38 23.25001/105

37 23.25001/107

33 23.26668/107

11 23.30001/103

19 23.45001/107

7 23.85001/107

15 24.10001/108

29 24.56668/111

43 26.31668/98

41 26.78334/99

47 28.05001/104

42 28.06668/101

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 18.05

Eliminating 10.

Round 4

5 18.5/83

22 18.5/85

34 18.65/86

17 18.76666/84

30 18.8/83

24 18.81667/85

39 19.23334/86

3 19.26667/86

2 19.63334/88

13 19.83333/86

18 19.96667/91

12 19.98334/88

26 20.55/93

1 20.68334/93

4 20.93334/96

32 21.01667/93

9 21.13334/96

28 21.25001/94

23 21.78334/96

25 22.06668/95

35 22.35001/100

8 22.75001/102

6 22.90001/101

20 23.08334/103

31 23.08334/102

36 23.13334/99

27 23.30001/102

21 23.33335/104

40 23.35001/104

37 23.63334/107

33 23.68335/107

38 23.80001/105

19 23.88334/107

11 23.91668/103

7 24.60001/107

15 24.76668/108

29 25.06668/111

43 26.31668/98

41 26.78334/99

47 28.05001/104

42 28.06668/101

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 18.5

Eliminating 5.

Round 5

22 18.83334/85

34 19.18334/86

30 19.21667/83

24 19.26667/85

17 19.4/84

39 19.5/86

3 19.98334/86

2 20.2/88

13 20.33333/86

18 20.33334/91

12 20.43333/88

1 21.15/93

26 21.23334/93

9 21.46667/96

32 21.50001/93

4 21.63334/96

28 21.66667/94

25 22.48334/95

23 22.61667/96

35 22.66668/100

8 23.00001/102

6 23.23334/101

36 23.55001/99

31 23.65001/102

21 23.70001/104

20 23.80001/103

40 23.93334/104

37 23.96667/107

27 24.15001/102

33 24.18335/107

11 24.28334/103

38 24.38334/105

19 24.55001/107

7 25.31668/107

15 25.35002/108

29 25.85001/111

43 26.31668/98

41 26.78334/99

47 28.05001/104

42 28.06668/101

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 19.18334

Eliminating 22.

Round 6

30 19.71667/83

34 19.73334/86

17 19.81667/84

24 19.91667/85

39 20.26667/86

3 20.51667/86

2 20.7/88

13 20.85/86

12 20.91667/88

18 21.13334/91

1 21.55/93

26 21.73334/93

4 21.86667/96

32 21.86667/93

28 21.96667/94

9 22.25001/96

25 22.71667/95

23 22.86667/96

35 23.20001/100

8 23.28334/102

6 23.95001/101

36 23.98335/99

21 24.25001/104

31 24.45001/102

37 24.53334/107

20 24.55001/103

40 24.61667/104

27 24.66668/102

38 24.73334/105

33 24.76668/107

19 24.91668/107

11 25.00001/103

15 25.81668/108

7 26.25001/107

43 26.31668/98

29 26.65001/111

41 26.78334/99

47 28.05001/104

42 28.06668/101

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 19.73334

Eliminating 30.

Round 7

34 20.21667/86

17 20.55/84

39 20.55/86

24 20.58334/85

3 20.91667/86

13 20.98334/86

2 21.10001/88

18 21.7/91

12 21.7/88

4 22.11667/96

26 22.28334/93

1 22.31668/93

28 22.33334/94

9 22.66667/96

32 22.68334/93

23 23.18334/96

25 23.40001/95

35 23.70001/100

8 23.70001/102

6 24.65001/101

36 24.71668/99

21 24.83334/104

37 24.90001/107

31 25.01668/102

40 25.08334/104

38 25.33334/105

19 25.36668/107

27 25.55001/102

11 25.61668/103

33 25.65001/107

20 25.78335/103

43 26.31668/98

7 26.70001/107

41 26.78334/99

15 26.96668/108

29 27.15001/111

47 28.05001/104

42 28.06668/101

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 20.55

Eliminating 17.

Round 8

34 20.56667/86

39 21.08334/86

3 21.13334/86

2 21.41667/88

24 21.43334/85

13 21.9/86

18 22.33334/91

1 22.58334/93

12 22.78334/88

4 22.88334/96

26 22.96668/93

9 23/96

28 23.00001/94

32 23.16667/93

23 23.61667/96

25 23.91668/95

8 24.23334/102

35 24.35001/100

6 25.06668/101

36 25.16668/99

21 25.33334/104

31 25.48335/102

19 25.63335/107

40 25.78334/104

37 25.86668/107

38 25.95001/105

11 26.26668/103

43 26.31668/98

33 26.38334/107

20 26.43335/103

27 26.51668/102

41 26.78334/99

7 27.81668/107

15 27.96668/108

29 27.96668/111

47 28.05001/104

42 28.06668/101

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 21.08334

Eliminating 34.

Round 9

3 21.66667/86

39 21.8/86

24 21.95/85

2 22.25001/88

13 22.88334/86

1 22.95001/93

18 23.13334/91

28 23.36668/94

26 23.48334/93

12 23.51667/88

4 23.63334/96

9 23.70001/96

32 23.76667/93

25 24.45001/95

23 24.48334/96

35 24.58334/100

8 24.73334/102

6 25.63334/101

19 25.93335/107

36 26.01668/99

21 26.05001/104

43 26.31668/98

37 26.38334/107

31 26.41668/102

40 26.45001/104

33 26.75001/107

41 26.78334/99

11 26.85001/103

38 26.88335/105

20 26.96668/103

27 27.23335/102

47 28.05001/104

42 28.06668/101

15 28.65001/108

29 28.70001/111

7 28.73335/107

44 28.83335/107

46 30.05002/113

45 31.90002/118

Threshhold: 21.8

Eliminating 3.

Round 10

24 22.51667/85

39 22.68334/86

2 23.13334/88

1 23.31668/93

18 23.40001/91

13 23.45001/86

28 23.50001/94

12 23.91667/88

26 24.10001/93

9 24.35001/96

4 24.38334/96

32 24.48334/93

23 25.00001/96

25 25.00001/95

35 25.08334/100

8 25.93334/102

43 26.31668/98

19 26.40001/107

36 26.63334/99

6 26.68334/101

41 26.78334/99

21 26.80001/104

40 27.13334/104

31 27.20001/102

37 27.28334/107

33 27.38334/107

11 27.51668/103

38 27.75001/105

27 27.85002/102

20 27.96668/103

47 28.05001/104

42 28.06668/101

44 28.83335/107

15 29.45001/108

7 29.58335/107

46 30.05002/113

29 30.11668/111

45 31.90002/118

Threshhold: 22.68334

Eliminating 24.

Round 11

39 23.53334/86

2 23.60001/88

18 23.91667/91

28 23.96668/94

1 24.01668/93

26 24.58334/93

13 24.71668/86

4 25.06668/96

9 25.08334/96

32 25.16667/93

25 25.26668/95

23 25.71667/96

35 25.71668/100

12 25.76668/88

43 26.31668/98

41 26.78334/99

8 26.88334/102

19 26.91668/107

6 27.03334/101

36 27.28335/99

21 27.33334/104

40 27.73334/104

37 27.88334/107

47 28.05001/104

31 28.05001/102

42 28.06668/101

38 28.45001/105

33 28.48334/107

27 28.55001/102

44 28.83335/107

20 28.91668/103

11 29.16668/103

15 29.86668/108

46 30.05002/113

7 30.31668/107

29 31.01668/111

45 31.90002/118

Threshhold: 23.60001

Eliminating 39.

Round 12

2 24.20001/88

28 24.43334/94

18 24.56667/91

1 24.68335/93

26 25.21667/93

32 25.50001/93

13 25.68334/86

4 25.83334/96

9 25.90001/96

25 26.21668/95

43 26.31668/98

23 26.36668/96

35 26.68334/100

41 26.78334/99

12 27.36668/88

8 27.50001/102

6 27.63334/101

19 27.75001/107

36 27.96668/99

21 28.01668/104

40 28.03334/104

47 28.05001/104

42 28.06668/101

37 28.70001/107

44 28.83335/107

31 28.98335/102

33 29.26668/107

27 29.40001/102

38 29.40001/105

20 29.83334/103

46 30.05002/113

15 30.30001/108

11 30.68334/103

7 31.38335/107

29 31.50001/111

45 31.90002/118

Threshhold: 24.43334

Eliminating 2.

Round 13

18 25.18334/91

1 25.41668/93

28 25.60001/94

26 25.95/93

43 26.31668/98

32 26.48334/93

13 26.56668/86

41 26.78334/99

4 26.86668/96

25 26.88334/95

23 26.90001/96

9 26.91667/96

35 27.46667/100

47 28.05001/104

42 28.06668/101

8 28.15001/102

12 28.23334/88

36 28.61668/99

44 28.83335/107

6 28.88334/101

19 28.96668/107

40 28.98334/104

21 29.13334/104

31 29.60001/102

37 29.63335/107

46 30.05002/113

33 30.16668/107

38 30.38335/105

27 30.60001/102

20 30.63334/103

15 30.93335/108

11 31.06668/103

45 31.90002/118

7 32.35001/107

29 32.43335/111

Threshhold: 25.41668

Eliminating 18.

Round 14

28 26.03334/94

43 26.31668/98

1 26.50001/93

41 26.78334/99

26 26.8/93

13 27.15001/86

9 27.26667/96

32 27.31667/93

47 28.05001/104

42 28.06668/101

23 28.33334/96

4 28.40001/96

25 28.43334/95

35 28.65001/100

8 28.80001/102

44 28.83335/107

19 29.25001/107

6 29.55001/101

36 29.60001/99

40 29.61668/104

21 29.63334/104

46 30.05002/113

31 30.26668/102

37 30.61668/107

12 30.81668/88

27 30.90001/102

33 31.35001/107

15 31.41668/108

38 31.61668/105

20 31.65001/103

11 31.88334/103

45 31.90002/118

29 33.25001/111

7 33.90001/107

Threshhold: 26.31668

Eliminating 28.

Round 15

43 26.31668/98

41 26.78334/99

1 27.30001/93

26 27.73334/93

13 27.95001/86

47 28.05001/104

42 28.06668/101

9 28.08334/96

44 28.83335/107

25 28.98335/95

23 29.13335/96

32 29.30001/93

4 29.38334/96

35 29.91668/100

46 30.05002/113

8 30.25001/102

36 30.41668/99

21 30.46668/104

6 30.48335/101

19 30.70001/107

40 30.75001/104

12 31.41668/88

31 31.63335/102

37 31.66668/107

45 31.90002/118

27 31.96668/102

33 32.21668/107

38 32.25002/105

20 32.45001/103

11 32.51668/103

15 32.80001/108

29 34.21668/111

7 35.01668/107

Threshhold: 26.78334

Eliminating 43.

Round 16

1 27.30001/93

26 27.73334/93

13 27.95001/86

9 28.08334/96

25 28.98335/95

23 29.13335/96

32 29.30001/93

4 29.38334/96

41 29.80001/99

35 29.91668/100

8 30.25001/102

36 30.41668/99

21 30.46668/104

6 30.48335/101

19 30.70001/107

40 30.75001/104

12 31.41668/88

31 31.63335/102

37 31.66668/107

47 31.81668/104

27 31.96668/102

33 32.21668/107

38 32.25002/105

20 32.45001/103

11 32.51668/103

42 32.58334/101

15 32.80001/108

44 33.06668/107

29 34.21668/111

46 34.46668/113

7 35.01668/107

45 38.26667/118

Threshhold: 27.73334

Eliminating 1.

Round 17

26 28.35001/93

9 28.78334/96

13 29.21667/86

23 29.61668/96

41 29.80001/99

25 30.26668/95

4 30.31668/96

35 30.61668/100

8 30.81668/102

32 31.16668/93

40 31.20001/104

6 31.21668/101

36 31.23334/99

47 31.81668/104

21 31.85002/104

19 31.93335/107

12 32.20001/88

31 32.43334/102

42 32.58334/101

38 32.90002/105

33 32.91668/107

44 33.06668/107

37 33.13335/107

27 33.20001/102

15 34.05001/108

11 34.25001/103

46 34.46668/113

20 34.88335/103

29 35.15001/111

7 37.30001/107

45 38.26667/118

Threshhold: 28.78334

Eliminating 26.

Round 18

13 29.56668/86

41 29.80001/99

9 30.00001/96

23 30.83335/96

4 30.95001/96

35 31.63334/100

32 31.63334/93

25 31.78334/95

47 31.81668/104

8 31.86668/102

40 32.00001/104

6 32.48334/101

21 32.56668/104

42 32.58334/101

36 32.63335/99

12 32.91667/88

31 33.06667/102

44 33.06668/107

19 33.38335/107

38 33.40002/105

33 34.21667/107

46 34.46668/113

37 34.51668/107

27 34.95001/102

11 35.58334/103

15 35.85001/108

20 36.21668/103

29 36.56668/111

45 38.26667/118

7 39.38333/107

Threshhold: 29.80001

Eliminating 13.

Round 19

41 29.80001/99

9 31.11667/96

23 31.56668/96

47 31.81668/104

4 31.98335/96

32 32.01668/93

35 32.18334/100

42 32.58334/101

25 32.75001/95

44 33.06668/107

40 33.33334/104

6 33.35001/101

21 33.35001/104

12 33.71667/88

36 34.05001/99

8 34.06667/102

31 34.08334/102

19 34.43335/107

46 34.46668/113

33 35.38334/107

11 35.78334/103

38 35.78334/105

27 36.28334/102

15 36.73334/108

20 37.01668/103

37 37.63334/107

29 38.15002/111

45 38.26667/118

7 40.23333/107

Threshhold: 31.11667

Eliminating 9.

Round 20

41 29.80001/99

47 31.81668/104

42 32.58334/101

23 32.70002/96

35 33.01668/100

44 33.06668/107

32 33.15001/93

25 33.58334/95

4 33.70001/96

46 34.46668/113

6 34.68334/101

21 34.70001/104

8 34.90001/102

12 35.15001/88

40 35.25/104

36 35.41667/99

31 35.58334/102

19 35.93335/107

33 36.35/107

27 37/102

38 37.16667/105

11 37.18334/103

15 37.7/108

20 37.90001/103

45 38.26667/118

37 38.61667/107

29 40.86668/111

7 42.44999/107

Threshhold: 31.81668

Eliminating 41.

Round 21

23 32.70002/96

35 33.01668/100

32 33.15001/93

25 33.58334/95

4 33.70001/96

6 34.68334/101

21 34.70001/104

8 34.90001/102

12 35.15001/88

40 35.25/104

36 35.41667/99

31 35.58334/102

19 35.93335/107

33 36.35/107

27 37/102

38 37.16667/105

11 37.18334/103

47 37.33334/104

42 37.66666/101

15 37.7/108

20 37.90001/103

44 38.41667/107

37 38.61667/107

46 40.75/113

29 40.86668/111

7 42.44999/107

45 45.83332/118

Threshhold: 33.01668

Eliminating 23.

Round 22

35 34.81667/100

4 35.25001/96

21 35.53334/104

32 35.58334/93

8 35.7/102

12 35.7/88

25 35.75/95

36 36.56667/99

40 36.71667/104

19 36.76668/107

6 36.93333/101

47 37.33334/104

31 37.5/102

42 37.66666/101

33 37.9/107

27 38.08334/102

11 38.2/103

44 38.41667/107

38 38.73333/105

15 39.55/108

20 39.95001/103

37 40.38333/107

46 40.75/113

29 42.35001/111

7 45.03333/107

45 45.83332/118

Threshhold: 35.25001

Eliminating 4.

Round 23

32 36.16668/93

35 36.45/100

12 36.95/88

8 37.21667/102

47 37.33334/104

36 37.48334/99

42 37.66666/101

21 37.7/104

25 37.76667/95

19 38.03335/107

44 38.41667/107

6 38.43334/101

40 39.06667/104

27 39.16668/102

31 39.25/102

11 39.3/103

33 40.53333/107

46 40.75/113

15 40.98333/108

38 41.2/105

20 41.63334/103

37 42.39999/107

29 43.26667/111

45 45.83332/118

7 47/107

Threshhold: 36.45

Eliminating 32.

Round 24

47 37.33334/104

12 37.61666/88

42 37.66666/101

8 38.05/102

44 38.41667/107

35 38.45/100

36 38.9/99

25 39.6/95

19 39.78334/107

21 39.86668/104

6 40.1/101

40 40.23333/104

27 40.5/102

31 40.58333/102

11 40.71667/103

46 40.75/113

33 41.7/107

38 42.69999/105

15 43.23333/108

20 43.88334/103

37 43.89999/107

45 45.83332/118

29 46.35/111

7 48.83333/107

Threshhold: 37.61666

Eliminating 12.

Round 25

47 37.33334/104

42 37.66666/101

8 38.38333/102

44 38.41667/107

46 40.75/113

36 40.78333/99

35 40.88333/100

25 41.01667/95

19 41.31667/107

40 41.66666/104

27 42.08333/102

21 42.08333/104

33 42.53333/107

6 42.75/101

31 42.96666/102

38 43.96666/105

15 43.98333/108

11 44.18333/103

20 45.03334/103

37 45.33332/107

45 45.83332/118

29 48.31667/111

7 49.71666/107

Threshhold: 37.66666

Eliminating 42.

Round 26

8 38.38333/102

36 40.78333/99

35 40.88333/100

25 41.01667/95

19 41.31667/107

40 41.66666/104

27 42.08333/102

21 42.08333/104

33 42.53333/107

6 42.75/101

31 42.96666/102

38 43.96666/105

15 43.98333/108

11 44.18333/103

20 45.03334/103

37 45.33332/107

47 45.49999/104

44 46.83332/107

29 48.31667/111

7 49.71666/107

46 49.83332/113

45 56.83332/118

Threshhold: 40.78333

Eliminating 36.

Round 27

8 39.54999/102

35 41.96666/100

25 42.6/95

19 42.78334/107

27 43.41666/102

40 43.71667/104

21 44/104

6 44.83334/101

33 45.03333/107

31 45.38333/102

47 45.49999/104

15 45.94999/108

38 46.46665/105

44 46.83332/107

11 47.18332/103

20 47.28333/103

37 48/107

46 49.83332/113

29 50.86666/111

7 50.96666/107

45 56.83332/118

Threshhold: 41.96666

Eliminating 35.

Round 28

8 41.18333/102

25 43.93333/95

47 45.49999/104

27 45.91666/102

19 46.04999/107

31 46.13333/102

6 46.34999/101

40 46.35/104

21 46.76666/104

44 46.83332/107

20 48.25/103

15 48.36665/108

38 48.84998/105

37 49.46666/107

33 49.58332/107

46 49.83332/113

11 50.09999/103

7 52.43333/107

29 53.26665/111

45 56.83332/118

Threshhold: 43.93333

Eliminating 25.

Round 29

8 44.48333/102

47 45.49999/104

44 46.83332/107

31 47.28333/102

19 47.89998/107

27 48.33333/102

6 48.64999/101

21 48.73333/104

40 48.98333/104

20 49.33333/103

46 49.83332/113

38 49.84998/105

15 49.86665/108

37 51.68333/107

33 53.24999/107

11 53.48332/103

7 53.89999/107

29 55.26665/111

45 56.83332/118

Threshhold: 45.49999

Eliminating 8.

Round 30

47 45.49999/104

44 46.83332/107

46 49.83332/113

6 50.06665/101

31 50.08332/102

19 50.73331/107

38 50.93332/105

27 50.93332/102

40 51.23333/104

21 51.53333/104

20 51.96667/103

15 52.69999/108

37 53.78333/107

11 55.78332/103

33 55.91666/107

45 56.83332/118

7 57.06665/107

29 57.26665/111

Threshhold: 46.83332

Eliminating 47.

Round 31

6 50.06665/101

31 50.08332/102

19 50.73331/107

38 50.93332/105

27 50.93332/102

40 51.23333/104

21 51.53333/104

20 51.96667/103

15 52.69999/108

37 53.78333/107

11 55.78332/103

33 55.91666/107

7 57.06665/107

29 57.26665/111

44 57.83332/107

46 63.33332/113

45 69.83333/118

Threshhold: 50.08332

Eliminating 6.

Round 32

31 51.58332/102

27 52.81666/102

20 52.9/103

21 52.94999/104

38 53.34998/105

15 54.19999/108

40 54.33332/104

19 54.39999/107

11 57.78332/103

44 57.83332/107

37 58.74999/107

29 59.69999/111

33 59.83332/107

7 60.39998/107

46 63.33332/113

45 69.83333/118

Threshhold: 52.81666

Eliminating 31.

Round 33

20 55.15/103

15 56.11665/108

27 56.14999/102

38 56.18332/105

21 56.95/104

19 56.98332/107

44 57.83332/107

40 58.58332/104

11 60.78332/103

37 61.33332/107

33 63.16666/107

29 63.2/111

46 63.33332/113

7 63.39998/107

45 69.83333/118

Threshhold: 56.11665

Eliminating 20.

Round 34

44 57.83332/107

27 59.24999/102

19 59.86666/107

21 60.28333/104

15 60.86665/108

38 61.53333/105

40 62.08332/104

46 63.33332/113

11 63.78332/103

37 63.91666/107

29 65.24999/111

33 65.5/107

7 65.66666/107

45 69.83333/118

Threshhold: 59.24999

Eliminating 27.

Round 35

44 57.83332/107

46 63.33332/113

21 63.53333/104

19 63.69999/107

38 64.53333/105

40 65.58334/104

15 65.69999/108

37 66.16666/107

11 67.2/103

29 68.24999/111

7 68.41666/107

33 68.91666/107

45 69.83333/118

Threshhold: 63.33332

Eliminating 44.

Round 36

21 63.53333/104

19 63.69999/107

38 64.53333/105

40 65.58334/104

15 65.69999/108

37 66.16666/107

11 67.2/103

29 68.24999/111

7 68.41666/107

33 68.91666/107

46 84/113

45 89/118

Threshhold: 63.69999

Eliminating 21.

Round 37

19 67.08333/107

40 68.41666/104

38 68.91666/105

37 69.66666/107

15 70.25/108

11 70.66666/103

29 70.83334/111

7 72.16666/107

33 72.99999/107

46 84/113

45 89/118

Threshhold: 68.41666

Eliminating 40.

Round 38

19 70.58333/107

37 71.66666/107

29 74/111

15 74.41666/108

11 74.41667/103

38 75.08333/105

33 75.16666/107

7 76.66666/107

46 84/113

45 89/118

Threshhold: 71.66666

Eliminating 19.

Round 39

37 75.49999/107

38 77.83333/105

11 78/103

33 78.66667/107

15 79.83334/108

29 80.33334/111

7 80.83334/107

46 84/113

45 89/118

Threshhold: 77.83333

Eliminating 38.

Round 40

37 79.66666/107

33 82.16667/107

11 82.16667/103

46 84/113

15 84.66666/108

29 84.66667/111

7 84.66667/107

45 89/118

Threshhold: 82.16667

Eliminating 11.

Round 41

37 83.83333/107

46 84/113

33 86/107

15 87.16666/108

7 88.16666/107

29 88.83333/111

45 89/118

Threshhold: 84

Eliminating 37.

Round 42

46 84/113

45 89/118

33 91.16666/107

15 91.66666/108

7 93.16666/107

29 95/111

Threshhold: 89

Eliminating 46.

Final Results:

33 91.16666/107

15 91.66666/108

7 93.16666/107

29 95/111

45 118/118