# Predicting wild cards: a combinatoric model

In my last two posts, I introduced you to some of the basics of combinatorics: permutations and combinations. Now, I’m going to tie this concept into something that Jeopardy! tournament players might find useful:

*How do I calculate the probabilities for wild card contenders to advance?*

With the help of several sources – J! Archive, JBoard.tv, Kelly the Wagering Strategist’s notes – I’ve compiled most of the past non-winning scores from quarterfinals. (You can find a table with all historical ToC quarterfinal scores at the bottom of this post.)

For my model, I take those scores as roughly representative of what might happen in a given tournament. Using those numbers, it’s just a matter of calculating the probability that a given score gets bumped off the leaderboard.

In this post, we’ll look at the situation after the second quarterfinal of the most recent Tournament of Champions, won by Alex Jacob. For those who have already played, I’m including the percentage of past non-winning ToC scores that finished below their totals.

Note that I do not include the winners of future quarterfinals. In any given game, at most two players will have a shot at a wild card; I’m using the faces you see here to make the examples easier to follow.

## The Bubble Player

The easiest odds to calculate are those of the player sitting “on the bubble”– in the fourth wild-card slot. If just one non-winner finishes with a higher total, the Bubble Player’s tournament is over.*

After two games, Greg Seroka sat in the fourth position. His total of 11,500 was better than 71% of all past non-winning scores. As I noted at the time, 11,500 is unusually high for that spot with so many games yet to be played; the cut-off in the 2014 ToC, after all, was 9,100.

Using this number as a probability, what are the odds that none of the four remaining non-winners beat Greg? (Remember, when we want to determine the probability that ALL independent events happen, we multiply their probabilities together.)

The odds are 71% x 71% x 71% x 71% x 71% x 71%, or 0.71^{6}. That’s about a 12.8% chance of surviving.

*Yes, a fifth wild-card slot will open up if a QF ends with no winner. That possibility has almost no effect on these calculations.

## The #3 spot: slightly better

The higher positions are harder to calculate, because there are more ways that can work out in those players’ favor. Let’s consider the third-place position, held by Kristin Sausville. She had 12,800, better than 78% of past non-winning scores.

What is the probability none of the remaining players beats her?

78% x 78% x 78% x 78% x 78% x 78% = 0.78^{6} = 22.5%

Not so great, either. But Kristin has a bit more wiggle room than Greg: it’s fine if *one* non-winner beats her score. So we need to find a way to calculate that.

Let’s consider the different ways exactly one remaining non-winner could finish with a higher total than Kristin:

- only John does
- only Jennifer does
- only Andrew does
- only Elliot does
- only Scott does
- only Michael does

That’s six different possibilities. What is the probability of each? I’ll make a table to make this more visual.

beats Kristin | John | Jennifer | Andrew | Elliot | Scott | Michael | Probability |

John only | 22% | 78% | 78% | 78% | 78% | 78% | 6.35% |

Jennifer only | 78% | 22% | 78% | 78% | 78% | 78% | 6.35% |

Andrew only | 78% | 78% | 22% | 78% | 78% | 78% | 6.35% |

Elliot only | 78% | 78% | 78% | 22% | 78% | 78% | 6.35% |

Scott only | 78% | 78% | 78% | 78% | 22% | 78% | 6.35% |

Michael only | 78% | 78% | 78% | 78% | 78% | 22% | 6.35% |

Total |
38.1% |

Each of these combinations has a 6.35% chance of occurring.

When we want to calculate the probability that ANY combination happens, we *add* the probabilities together. Thus, using our assumptions, there is a 38.1% chance – six times 6.35% – that *one and only one* remaining player will pass Kristin’s score.

Combine this with the 22.5% probability that *no one* beats her and we get odds of around 60% for Kristin to advance. (In my actual analysis, I put her at 62%, because I didn’t round the initial 78% percentage.)

## The #2 spot: many more possibilities

Let’s keep rolling. In second place after two quarterfinals was Dan Feitel, whose score of 14,000 was better than 82% of all non-winning scores, historically.

The probability that no one beats him:

82% x 82% x 82% x 82% x 82% x 82% = 0.82^{6} = 30.4%

The probability that exactly one player beats him, using the pattern we identified with Kristin:

82% x 82% x 82% x 82% x 82% x 18% x 6 = 0.82^{5} x 0.18^{1} x 6 = 40.0%

Already, Dan has around a 70% chance of advancing. But he’ll also advance if *exactly two players* pass him. How do we calculate the odds that this takes place?

Let’s set up another table to find the various possibilities:

Combo # | John | Jennifer | Andrew | Elliot | Scott | Michael | Probability |

1 | 18% | 18% | 82% | 82% | 82% | 82% | 1.46% |

2 | 18% | 82% | 18% | 82% | 82% | 82% | 1.46% |

3 | 18% | 82% | 82% | 18% | 82% | 82% | 1.46% |

4 | 18% | 82% | 82% | 82% | 18% | 82% | 1.46% |

5 | 18% | 82% | 82% | 82% | 82% | 18% | 1.46% |

6 | 82% | 18% | 18% | 82% | 82% | 82% | 1.46% |

7 | 82% | 18% | 82% | 18% | 82% | 82% | 1.46% |

8 | 82% | 18% | 82% | 82% | 18% | 82% | 1.46% |

9 | 82% | 18% | 82% | 82% | 82% | 18% | 1.46% |

10 | 82% | 82% | 18% | 18% | 82% | 82% | 1.46% |

11 | 82% | 82% | 18% | 82% | 18% | 82% | 1.46% |

12 | 82% | 82% | 18% | 82% | 82% | 18% | 1.46% |

13 | 82% | 82% | 82% | 18% | 18% | 82% | 1.46% |

14 | 82% | 82% | 82% | 18% | 82% | 18% | 1.46% |

15 | 82% | 82% | 82% | 82% | 18% | 18% | 1.46% |

Total |
22.0% |

I count 15 different combinations of two players. That means the probability that *exactly two players* beat Dan is

82% x 82% x 82% x 82% x 18% x 18% x 15 = 0.82^{4} x 0.18^{2} x 15 = 22.0%

Let’s line these up and see if there’s a pattern.

Outcome | Worse | Better | Combinations | Total | ||

Zero players better | 0.82^{6} |
x | 0.18^{0} |
x | 1 | 30.4% |

One player better | 0.82^{5} |
x | 0.18^{1} |
x | 6 | 40.0% |

Two players better | 0.82^{4} |
x | 0.18^{2} |
x | 15 | 22.0% |

Odds of advancing | 92.4% |

This looks promising: the exponents for the “worse” and “better” probabilities always add up to six, because all future players must finish either worse or better than our chosen player.

Have you figured out how we populate the “combinations” column? That’s right: in every case, we’re finding a “combination of *n* choose *k*” possibilities, where *n* is the total number of players remaining (six), and *k* is the number of players who finish higher than Dan in that particular scenario.

Recall that the number of combinations when you choose *k* objects from a population of *n* is

_{n}C_{k} |
= | n! |

k! x (n–k)! |

Therefore:

_{6}C_{0} |
= | 6! | = | = | 1 | |

0! x (6-0)! | 1 x |

_{6}C_{1} |
= | 6! | = | 6! | = | 6 x |
= | 6 |

1! x (6-1)! | 1 x 5! |

_{6}C_{2} |
= | 6! | = | 6! | = | 6 x 5 x |
= | 30 | = | 15 |

2! x (6-2)! | 2 x 4! | 2 x |
2 |

One of the neat things about combinations is it actually doesn’t matter whether I’m looking at the number of players who finish *better *than Dan, or the number of players who finish *worse* than Dan. If I were to instead find the number of combinations in which exactly five players finish with a lower total – *6 choose 5*, in other words – I’ll get:

_{6}C_{5} |
= | 6! | = | 6! | = | 6 x |
= | 6 |

5! x (6-5)! | 5! x 1 |

…which is exactly the same as _{6}*C _{1}* (

*six choose one*), the number of combinations in which exactly one player finishes higher.

## The #1 seed: an exercise

Time to put to work what you’ve learned so far.

After QF #2, Vaughn Winchell led the wild card pack with 16,599, a total higher than 95% of past non-winning scores.

Compared with Dan, Vaughn has one additional fallback to still qualify for the next round: if *exactly three* of the remaining non-winning players finish with a higher score.

Even without this option, Vaughn already has a 99.8% chance of moving on. But what should I put in the green cells to make this complete?

Outcome | Worse | Better | Combinations | Total | ||

Zero players better | 0.95^{6} |
x | 0.05^{0} |
x | 1 | 73.5% |

One player better | 0.95^{5} |
x | 0.05^{1} |
x | 6 | 23.2% |

Two players better | 0.95^{4} |
x | 0.05^{2} |
x | 15 | 3.1% |

Three players better | x | x | ||||

Odds of advancing |

Here’s what this should look like:

Correct response: | Show |
---|---|

If you’re interested in another, try this: in the 2004 Tournament of Champions, I sat in third place on the wild-card standings after 3 quarterfinal matches (meaning there were four players remaining who could beat me).

Assuming a player has a 40% chance of finishing below my score of 3,500, what were the odds that I’d advance?

Correct response: | Show |
---|---|

## Potential issues

This model comes with some issues, of course.

Non-winning scores are not consistent from tournament to tournament; the strength of competitors and the difficulty of material vary widely.

Second, as I’ve pointed out in the past, Final Jeopardy! plays an outsized factor in determining wild cards, and there is probably an underlying correlation missing from the math above. The Final clue in this year’s QF #4 played much, much easier than the others, for example; Elliot Yates, however, didn’t have enough money to make anything of it.

Because the assignment of FJ! clues is random, I feel safe in ignoring any effects from the vagaries of their difficulty.

## What’s next?

In my concluding post in this series – which I’ll certainly publish before the College Championship tapes in the new year – I’ll share the model behind my Wild Card Wagering Calculator (WC^{2}), which takes into account your confidence level in the category.

For example, if you’ve got 8,000 heading into Final Jeopardy! in a ToC quarterfinal, and you’ll probably finish second in the game, you should wager as follows:

Stay tuned!

## Past ToC wild card data

# | Player | QF | Score | Finish | Rank | Pre-FJ! | FJ! | Adj |
---|---|---|---|---|---|---|---|---|

S02 | John Genova | 1 | 0 | third | 9 | 1,800 | W | 0 |

S02 | Elise Beraru | 1 | 0 | second | 7 | 6,400 | W | 0 |

S02 | Ric Moser | 1 | 3,599 | first | 8,200 | W | 7,198 | |

S02 | Liz Caccese | 2 | 4,100 | second | 3 | 4,100 | R | 8,200 |

S02 | Jerry Frankel | 2 | 3,300 | third | 4 | 5,800 | W | 6,600 |

S02 | Larry Floyd | 2 | 8,600 | first | 6,500 | R | 17,200 | |

S02 | Paul Croshier | 3 | -800 | third | 10 | -800 | -- | -1,600 |

S02 | Paul Boymel | 3 | 7,601 | first | 6,000 | R | 15,202 | |

S02 | John Hnat | 3 | 4,800 | second | 2 | 3,800 | R | 9,600 |

S02 | Bruce Fauman | 4 | 10,100 | first | 9,100 | R | 20,200 | |

S02 | Paula Tupper | 4 | 2,100 | third | 5 | 3,100 | W | 4,200 |

S02 | Steve Rogitz | 4 | 7,000 | second | 1 | 4,000 | R | 14,000 |

S02 | Michael Day | 5 | 0 | third | 8 | 2,400 | W | 0 |

S02 | Nathan Walpow | 5 | 3 | second | 6 | 2,600 | W | 6 |

S02 | Ron Black | 5 | 12,000 | first | 8,700 | R | 24,000 | |

S03 | Jay Rosenberg | 1 | 7,600 | first | 9,400 | W | 15,200 | |

S03 | Lionel Goldbart | 1 | 5,000 | second | 4 | 5,695 | W | 10,000 |

S03 | Danny Green | 1 | 0 | third | 9 | 3,300 | W | 0 |

S03 | Paul Rouffa | 2 | 7,801 | first | 5,800 | R | 15,602 | |

S03 | Marvin Shinkman | 2 | 7,800 | second | 1 | 7,800 | W | 15,600 |

S03 | Jared Eisenstat | 2 | 2,400 | third | 6 | 1,200 | R | 4,800 |

S03 | Donald Burgo | 3 | 10,100 | first | 8,100 | R | 20,200 | |

S03 | Mark Leinwand | 3 | 1,000 | third | 8 | 1,600 | W | 2,000 |

S03 | Beryl Arbit | 3 | 7,600 | second | 2 | 8,300 | W | 15,200 |

S03 | Gary Giardina | 4 | 4,400 | first | 2,200 | R | 8,800 | |

S03 | Harvey Becker | 4 | 1,900 | third | 7 | 3,200 | W | 3,800 |

S03 | Eric Schoeck | 4 | 3,900 | second | 5 | 2,000 | R | 7,800 |

S03 | Chuck Forrest | 5 | 10,000 | first | 11,000 | W | 20,000 | |

S03 | Guy Tonti | 5 | 0 | third | 10 | 2,600 | W | 0 |

S03 | Gary Palmer | 5 | 6,000 | second | 3 | 3,000 | R | 12,000 |

S04 | Dave Traini | 1 | 8,402 | first | 8,400 | R | 16,804 | |

S04 | John Podhoretz | 1 | 1,599 | third | 9 | 800 | R | 3,198 |

S04 | Eric Berman | 1 | 8,401 | second | 3 | 5,000 | R | 16,802 |

S04 | Richard Cordray | 2 | 9,900 | first | 8,000 | R | 19,800 | |

S04 | Frank Hughes | 2 | 4,900 | third | 6 | 4,900 | W | 9,800 |

S04 | Michael Galvin | 2 | 8,600 | second | 2 | 7,800 | R | 17,200 |

S04 | Eugene Finerman | 3 | 3,900 | first | 5,900 | W | 7,800 | |

S04 | Keith Bell | 3 | 0 | third | 10 | 1,200 | W | 0 |

S04 | Jonathan Fellows | 3 | 3,399 | second | 8 | 7,600 | W | 6,798 |

S04 | Bob Verini | 4 | 9,400 | first | 5,200 | R | 18,800 | |

S04 | Keith Walker | 4 | 3,500 | third | 7 | 6,800 | W | 7,000 |

S04 | Zeke Sevilla, Jr. | 4 | 6,000 | second | 5 | 6,700 | W | 12,000 |

S04 | John Ryan | 5 | 12,200 | first | 6,100 | R | 24,400 | |

S04 | Doug Molitor | 5 | 10,000 | second | 1 | 10,000 | W | 20,000 |

S04 | Roger Storm | 5 | 8,100 | third | 4 | 4,100 | R | 16,200 |

S05 | Bruce Naegeli | 1 | 13,801 | first | 13,600 | R | 27,602 | |

S05 | Kate Waits | 1 | 10,400 | third | 4 | 5,200 | R | 20,800 |

S05 | Richard Perez-Pena | 1 | 13,800 | second | 1 | 6,900 | R | 27,600 |

S05 | Roy Holliday | 2 | 500 | first | 5,600 | W | 1,000 | |

S05 | Barbara-Anne Eddy | 2 | 399 | second | 8 | 5,800 | W | 798 |

S05 | Stephen Lebowitz | 2 | 0 | third | 10 | 3,000 | W | 0 |

S05 | Steven Popper | 3 | 10,800 | third | 3 | 5,400 | R | 21,600 |

S05 | Michael Rankins | 3 | 13,801 | first | 7,000 | R | 27,602 | |

S05 | Peggy Kennedy | 3 | 13,800 | second | 2 | 6,900 | R | 27,600 |

S05 | Sandra Gore | 4 | 8,600 | first | 9,300 | W | 17,200 | |

S05 | Bruce Seymour | 4 | 6,500 | second | 7 | 7,700 | W | 13,000 |

S05 | Michael Block | 4 | 1 | third | 9 | 2,900 | W | 2 |

S05 | Mark Lowenthal | 5 | 8,800 | first | 6,400 | R | 17,600 | |

S05 | Leah Greenwald | 5 | 8,000 | second | 5 | 4,000 | R | 16,000 |

S05 | Ron Trigueiro | 5 | 7,000 | third | 6 | 9,500 | W | 14,000 |

S06 | Mark McDermott | 1 | 3,800 | first | 8,000 | W | 7,600 | |

S06 | Jim Tompkins-MacLaine | 1 | 1 | third | 7 | 1,600 | W | 2 |

S06 | Peggi Malys | 1 | 3,600 | second | 2 | 6,100 | W | 7,200 |

S06 | Cigus Vanni | 2 | 7,000 | first | 3,600 | R | 14,000 | |

S06 | Bruce Cox | 2 | 2,400 | second | 3 | 4,700 | W | 4,800 |

S06 | Ouida Rellstab | 2 | 1,399 | third | 4 | 5,400 | W | 2,798 |

S06 | Jeff Richmond | 3 | 1,000 | second | 5 | 8,900 | W | 2,000 |

S06 | Joel Sacks | 3 | 0 | third | 10 | 1,900 | W | 0 |

S06 | Eric Newhouse | 3 | 10,000 | first | 8,400 | R | 20,000 | |

S06 | Brian Wangsgard | 4 | 9,800 | first | 4,900 | R | 19,600 | |

S06 | Yael Sofaer | 4 | 989 | third | 6 | 5,395 | W | 1,978 |

S06 | Tom Cubbage | 4 | 8,199 | second | 1 | 4,100 | R | 16,398 |

S06 | Rich Lerner | 5 | 10,500 | first | 8,700 | R | 21,000 | |

S06 | Cathy Boggs | 5 | 0 | third | 9 | 3,000 | W | 0 |

S06 | Chris Shea | 5 | 0 | second | 8 | 3,400 | W | 0 |

S07 | Bob Blake | 1 | 6,399 | first | 7,400 | W | 12,798 | |

S07 | Dan Katz | 1 | 3,000 | second | 5 | 4,200 | W | 6,000 |

S07 | Michael Thayer | 1 | 1 | third | 7 | 2,100 | W | 2 |

S07 | Jeff Bandman | 2 | 8,002 | first | 9,900 | W | 16,004 | |

S07 | Larry McKnight | 2 | 7,400 | second | 2 | 8,700 | W | 14,800 |

S07 | Jamie Weiss | 2 | 4,600 | third | 3 | 4,800 | W | 9,200 |

S07 | Eric Terzuolo | 3 | 9,601 | first | 8,800 | R | 19,202 | |

S07 | Elaine Zollner | 3 | 0 | third | 9 | 3,200 | W | 0 |

S07 | George Soule | 3 | 0 | second | 8 | 4,800 | W | 0 |

S07 | Richard Neale | 4 | 2,900 | second | 6 | 9,900 | W | 5,800 |

S07 | Erik Larsen | 4 | 7,600 | first | 8,300 | W | 15,200 | |

S07 | Lisa Guay | 4 | 0 | third | 10 | 2,500 | W | 0 |

S07 | Frank Spangenberg | 5 | 10,100 | first | 8,800 | R | 20,200 | |

S07 | Steve Berman | 5 | 7,601 | second | 1 | 7,600 | R | 15,202 |

S07 | Andrew Bernknopf | 5 | 4,200 | third | 4 | 2,100 | R | 8,400 |

S08 | Leslie Frates | 1 | 13,000 | first | 11,700 | R | 26,000 | |

S08 | John LeDonne | 1 | 6,000 | third | 8 | 3,000 | R | 12,000 |

S08 | Lou Pryor | 1 | 10,001 | second | 3 | 8,300 | R | 20,002 |

S08 | Mark Pestronk | 2 | 10,801 | first | 8,000 | R | 21,602 | |

S08 | Lynne Wexler | 2 | 7,700 | second | 7 | 3,900 | R | 15,400 |

S08 | Andy Westney | 2 | 0 | third | 10 | 5,400 | W | 0 |

S08 | Bruce Ikawa | 3 | 8,800 | third | 6 | 7,000 | R | 17,600 |

S08 | Jonathan Jacobs | 3 | 10,001 | second | 2 | 8,800 | R | 20,002 |

S08 | Lois Kurowski | 3 | 12,000 | first | 7,000 | R | 24,000 | |

S08 | Sara Cox | 4 | 9,200 | second | 5 | 7,200 | R | 18,400 |

S08 | Tom Halpern | 4 | 2,800 | third | 9 | 1,400 | R | 5,600 |

S08 | Scott Gillispie | 4 | 14,500 | first | 12,900 | R | 29,000 | |

S08 | Mark Born | 5 | 16,601 | first | 8,600 | R | 33,202 | |

S08 | Steve Robin | 5 | 14,300 | second | 1 | 8,300 | R | 28,600 |

S08 | Jim Scott | 5 | 9,550 | third | 4 | 4,800 | R | 19,100 |

S09 | India Cooper | 1 | 9,100 | first | 9,700 | W | 18,200 | |

S09 | Dave Willis | 1 | 1,300 | third | 8 | 6,300 | W | 2,600 |

S09 | Leonard Schmidt | 1 | 7,600 | second | 4 | 7,600 | W | 15,200 |

S09 | Jerome Vered | 2 | 12,500 | first | 12,400 | R | 25,000 | |

S09 | Steve Newman | 2 | 0 | third | 9 | 3,000 | W | 0 |

S09 | Bruce Simmons | 2 | 12,200 | second | 1 | 6,100 | R | 24,400 |

S09 | Phil Yellman | 3 | 4,799 | third | 5 | 7,600 | W | 9,598 |

S09 | Kirk Ditzler | 3 | 10,200 | first | 5,200 | R | 20,400 | |

S09 | April McManus | 3 | 9,997 | second | 3 | 5,000 | R | 19,994 |

S09 | Richard Kaplan | 4 | 10,700 | second | 2 | 5,700 | R | 21,400 |

S09 | John Kelly | 4 | 1,799 | third | 7 | 6,600 | W | 3,598 |

S09 | Robert Slaven | 4 | 11,000 | first | 5,500 | R | 22,000 | |

S09 | Leszek Pawlowicz | 5 | 16,800 | first | 15,900 | R | 33,600 | |

S09 | Frank Epstein | 5 | 0 | third | 10 | 2,700 | W | 0 |

S09 | Billy Baxter | 5 | 3,000 | second | 6 | 7,000 | W | 6,000 |

S10 | Bev Schwartzberg | 1 | 10,900 | third | 3 | 5,500 | R | 21,800 |

S10 | Dennis Donohue | 1 | 15,001 | first | 8,600 | R | 30,002 | |

S10 | Marilyn Kneeland | 1 | 12,200 | second | 2 | 7,500 | R | 24,400 |

S10 | Ed Schiffer | 2 | 16,601 | first | 8,500 | R | 33,202 | |

S10 | Linda Sheppard | 2 | 0 | third | 9 | 6,400 | W | 0 |

S10 | Phoebe Juel | 2 | 13,300 | second | 1 | 8,300 | R | 26,600 |

S10 | Leslie Miller | 3 | 10,400 | second | 4 | 5,200 | R | 20,800 |

S10 | Walt Senterfitt | 3 | 15,600 | first | 13,100 | R | 31,200 | |

S10 | David Tiemann | 3 | 8,800 | third | 5 | 4,400 | R | 17,600 |

S10 | Tom Nosek | 4 | 13,100 | first | 13,100 | R | 26,200 | |

S10 | Debby Arnold | 4 | 0 | third | 10 | 2,700 | W | 0 |

S10 | Fraser Woodford | 4 | 7,500 | second | 6 | 9,500 | W | 15,000 |

S10 | Diane Siegel | 5 | 2 | third | 8 | 3,700 | W | 4 |

S10 | Al Lin | 5 | 599 | second | 7 | 6,300 | W | 1,198 |

S10 | Jack Mahoney | 5 | 12,613 | first | 7,700 | R | 25,226 | |

S11 | Jean Grewe | 1 | 3,200 | first | 7,200 | W | 6,400 | |

S11 | Tom Nichols | 1 | 1,900 | second | 7 | 8,200 | W | 3,800 |

S11 | Matt Morris | 1 | 0 | third | 9 | 3,600 | W | 0 |

S11 | Bill Pitassy | 2 | 17,200 | first | 8,600 | R | 34,400 | |

S11 | Fred Frank | 2 | 4,000 | third | 5 | 7,500 | W | 8,000 |

S11 | Jeff Stewart | 2 | 8,100 | second | 4 | 9,300 | W | 16,200 |

S11 | Amy Fine | 3 | 3,599 | second | 6 | 5,200 | W | 7,198 |

S11 | Kurt Bray | 3 | 5,350 | first | 2,700 | R | 10,700 | |

S11 | Bart Thomas | 3 | 0 | third | 10 | 3,400 | W | 0 |

S11 | John Cuthbertson | 4 | 10,401 | first | 5,300 | R | 20,802 | |

S11 | David Hillinck | 4 | 10,400 | second | 2 | 5,200 | R | 20,800 |

S11 | Rachael Schwartz | 4 | 9,300 | third | 3 | 6,200 | R | 18,600 |

S11 | Steve Chernicoff | 5 | 10,801 | first | 9,800 | R | 21,602 | |

S11 | Brian Moore | 5 | 10,800 | second | 1 | 5,400 | R | 21,600 |

S11 | David Venderbush | 5 | 1 | third | 8 | 500 | W | 2 |

S12 | Bruce Borchardt | 1 | 12,201 | first | 7,100 | R | 24,402 | |

S12 | Gordon Wean | 1 | 7,750 | second | 4 | 3,900 | R | 15,500 |

S12 | Ben Lyon | 1 | 3,100 | third | 6 | 6,100 | W | 6,200 |

S12 | Paul Thompson | 2 | 11,001 | first | 6,000 | R | 22,002 | |

S12 | Isaac Segal | 2 | 11,000 | second | 1 | 5,500 | R | 22,000 |

S12 | Jim Vercolen | 2 | 10,000 | third | 2 | 5,500 | R | 20,000 |

S12 | Jonathan Groff | 3 | 7,700 | first | 7,000 | R | 15,400 | |

S12 | Linda Roberts | 3 | 1 | second | 8 | 3,300 | W | 2 |

S12 | Aaron Klein | 3 | 0 | third | 10 | 3,800 | W | 0 |

S12 | David Siegel | 4 | 13,000 | first | 12,000 | R | 26,000 | |

S12 | Ryan Holznagel | 4 | 8,621 | second | 3 | 7,400 | R | 17,242 |

S12 | John McKeon | 4 | 0 | third | 9 | 4,300 | W | 0 |

S12 | Len Krisak | 5 | 2,199 | third | 7 | 1,100 | R | 4,398 |

S12 | Matt Zielenski | 5 | 11,601 | first | 9,100 | R | 23,202 | |

S12 | Jim Morgan | 5 | 6,800 | second | 5 | 5,800 | R | 13,600 |

S13 | Brad Plovan | 1 | 1,800 | third | 5 | 5,900 | W | 3,600 |

S13 | Mary Hirschfeld | 1 | 17,000 | first | 11,200 | R | 34,000 | |

S13 | Shane Whitlock | 1 | 10,100 | second | 1 | 8,400 | R | 20,200 |

S13 | Bernie Cullen | 2 | 799 | second | 7 | 5,800 | W | 1,598 |

S13 | Beverly Spurs | 2 | 11,700 | first | 6,600 | R | 23,400 | |

S13 | David Cuneo | 2 | 0 | third | 8 | 5,400 | W | 0 |

S13 | Mike Dup_e | 3 | 13,601 | first | 8,800 | R | 27,202 | |

S13 | Bill Sloan | 3 | 10,100 | second | 2 | 6,800 | R | 20,200 |

S13 | Amanda Goad | 3 | 9,600 | third | 3 | 4,800 | R | 19,200 |

S13 | David Sampugnaro | 4 | 0 | third | 9 | 4,100 | W | 0 |

S13 | Bill Dickenson | 4 | 11,601 | first | 9,600 | R | 23,202 | |

S13 | Lucien Schmit | 4 | 1,800 | second | 6 | 5,800 | W | 3,600 |

S13 | Michael Daunt | 5 | 10,300 | first | 7,900 | R | 20,600 | |

S13 | Barbara Walker | 5 | 0 | third | 10 | 3,400 | W | 0 |

S13 | Bob Scarpone | 5 | 7,901 | second | 4 | 6,900 | R | 15,802 |

S14 | Kim Worth | 1 | 8,200 | third | 2 | 4,100 | R | 16,400 |

S14 | Fred Ramen | 1 | 10,000 | second | 1 | 7,500 | R | 20,000 |

S14 | Lyn Payne | 1 | 15,001 | first | 8,700 | R | 30,002 | |

S14 | Paul Gutowski | 2 | 2 | third | 10 | 1,800 | W | 4 |

S14 | Claudia Perry | 2 | 7,500 | first | 8,000 | W | 15,000 | |

S14 | Josh Den Hartog | 2 | 14 | second | 9 | 6,400 | W | 28 |

S14 | Dan Melia | 3 | 8,100 | second | 3 | 9,100 | W | 16,200 |

S14 | Peter Scott | 3 | 10,599 | first | 5,300 | R | 21,198 | |

S14 | Craig Barker | 3 | 2,300 | third | 5 | 5,800 | W | 4,600 |

S14 | Arthur Phillips | 4 | 2,201 | second | 6 | 6,100 | W | 4,402 |

S14 | Pam Mifflin | 4 | 100 | third | 8 | 1,100 | W | 200 |

S14 | Sahir Islam | 4 | 7,787 | first | 7,800 | W | 15,574 | |

S14 | Wes Ulm | 5 | 600 | third | 7 | 5,700 | W | 1,200 |

S14 | Bob Harris | 5 | 3,200 | second | 4 | 1,600 | R | 6,400 |

S14 | Grace Veach | 5 | 10,500 | first | 9,500 | R | 21,000 | |

S15 | James Arey | 1 | 0 | second | 9 | 3,400 | W | 0 |

S15 | Dan Girard | 1 | 15,000 | first | 12,800 | R | 30,000 | |

S15 | Melizza Zygmunt | 1 | 0 | third | 10 | 2,300 | W | 0 |

S15 | Dave Abbott | 2 | 10,200 | first | 9,200 | R | 20,400 | |

S15 | Lara Robillard | 2 | 1,600 | second | 7 | 3,700 | W | 3,200 |

S15 | Andrew Hutchings | 2 | 0 | third | 8 | 5,700 | W | 0 |

S15 | Pat Healy | 3 | 15,801 | first | 9,800 | R | 31,602 | |

S15 | David Bagley | 3 | 12,400 | second | 1 | 7,900 | R | 24,800 |

S15 | Juliet Wiley | 3 | 6,000 | third | 3 | 3,000 | R | 12,000 |

S15 | Andrew Maly | 4 | 10,800 | first | 5,400 | R | 21,600 | |

S15 | Carolyn White | 4 | 5,400 | third | 5 | 2,700 | R | 10,800 |

S15 | J.J. Todor | 4 | 5,599 | second | 4 | 8,200 | W | 11,198 |

S15 | Chris Ward | 5 | 3,400 | third | 6 | 1,700 | R | 6,800 |

S15 | John Skelton | 5 | 7,499 | second | 2 | 3,800 | R | 14,998 |

S15 | Lance Johnson | 5 | 7,601 | first | 7,400 | R | 15,202 | |

S16 | Jeremy Bate | 1 | 5,900 | second | 2 | 6,700 | W | 11,800 |

S16 | Mike Blumenfeld | 1 | 7,200 | first | 3,700 | R | 14,400 | |

S16 | Melissa Sexstone | 1 | 400 | third | 7 | 2,700 | W | 800 |

S16 | Steve Fried | 2 | 7,499 | second | 1 | 8,000 | W | 14,998 |

S16 | Helen Petroff | 2 | 0 | third | 9 | 2,400 | W | 0 |

S16 | Chacko George | 2 | 10,000 | first | 8,500 | R | 20,000 | |

S16 | Eddie Timanus | 3 | 4,399 | first | 7,000 | W | 8,798 | |

S16 | Jack Archey | 3 | 0 | third | 8 | 3,800 | W | 0 |

S16 | Janet Wong | 3 | 1,600 | second | 6 | 4,800 | W | 3,200 |

S16 | Robin Carroll | 4 | 4,800 | second | 4 | 6,400 | W | 9,600 |

S16 | Lee Lassiter | 4 | 0 | third | 10 | 900 | W | 0 |

S16 | Michael Rooney | 4 | 15,500 | first | 15,500 | R | 31,000 | |

S16 | Terry Currin | 5 | 10,000 | first | 9,900 | R | 20,000 | |

S16 | Darlene Lieblich | 5 | 2,400 | third | 5 | 1,200 | R | 4,800 |

S16 | Carolyn Cracraft | 5 | 5,500 | second | 3 | 4,300 | R | 11,000 |

S18 | Babu Srinivasan | 1 | 11,500 | second | 1 | 5,800 | R | 23,000 |

S18 | Mark Eckard | 1 | 12,900 | first | 11,400 | R | 25,800 | |

S18 | Rick Knutsen | 1 | 7,599 | third | 2 | 9,600 | W | 15,198 |

S18 | Larry Cloud | 2 | 2,000 | second | 4 | 7,000 | W | 4,000 |

S18 | Andrew Garen | 2 | 900 | third | 6 | 4,900 | W | 1,800 |

S18 | Pam Mueller | 2 | 6,399 | first | 6,700 | W | 12,798 | |

S18 | Michael Arnone | 3 | 0 | third | 10 | 2,400 | W | 0 |

S18 | Michelle Clum | 3 | 1,599 | second | 5 | 7,800 | W | 3,198 |

S18 | Ryan Moore | 3 | 6,000 | first | 7,000 | W | 12,000 | |

S18 | Doug Lach | 4 | 0 | third | 8 | 5,300 | W | 0 |

S18 | Bob Fleenor | 4 | 2 | second | 7 | 2,500 | W | 4 |

S18 | Brad Rutter | 4 | 18,000 | first | 18,000 | W | 36,000 | |

S18 | Tad Carithers | 5 | 4,900 | first | 7,200 | W | 9,800 | |

S18 | Lan Djang | 5 | 2,400 | second | 3 | 1,200 | R | 4,800 |

S18 | Kevin Keach | 5 | 0 | third | 9 | 4,700 | W | 0 |

MDM | Bob Harris | 1 | 20,000 | first | 15,800 | R | 20,000 | |

MDM | Rachael Schwartz | 1 | 12,401 | second | 5 | 10,100 | R | 12,401 |

MDM | Frank Spangenberg | 1 | 6,799 | third | 7 | 19,200 | W | 6,799 |

MDM | Claudia Perry | 2 | 17,400 | second | 4 | 12,400 | R | 17,400 |

MDM | Brad Rutter | 2 | 24,801 | first | 17,800 | R | 24,801 | |

MDM | Kate Waits | 2 | 0 | third | 9 | 4,200 | W | 0 |

MDM | Chuck Forrest | 3 | 32,000 | first | 16,000 | R | 32,000 | |

MDM | Leslie Frates | 3 | 22,000 | second | 1 | 21,700 | R | 22,000 |

MDM | Eric Newhouse | 3 | 20,000 | third | 2 | 10,000 | R | 20,000 |

MDM | Leslie Shannon | 4 | 20,000 | second | 3 | 10,000 | R | 20,000 |

MDM | Eddie Timanus | 4 | 0 | third | 10 | 800 | W | 0 |

MDM | Bob Verini | 4 | 21,000 | first | 21,000 | R | 21,000 | |

MDM | Robin Carroll | 5 | 5,600 | third | 8 | 8,800 | W | 5,600 |

MDM | India Cooper | 5 | 18,100 | first | 18,200 | W | 18,100 | |

MDM | Babu Srinivasan | 5 | 12,000 | second | 6 | 6,000 | R | 12,000 |

S19 | Brian Weikle | 1 | 22,200 | first | 22,200 | R | 22,200 | |

S19 | Ben Tritle | 1 | 0 | second | 6 | 6,400 | W | 0 |

S19 | Kathy Cassity | 1 | -3,000 | third | 10 | -3,000 | -- | -3,000 |

S19 | Max Levaren | 2 | 0 | third | 4 | 7,600 | W | 0 |

S19 | Trevor Norris | 2 | 18,000 | first | 15,000 | R | 18,000 | |

S19 | Mark Dawson | 2 | 16,799 | second | 1 | 16,000 | R | 16,799 |

S19 | Jill Bunzendahl Chimka | 3 | 14,400 | first | 7,400 | R | 14,400 | |

S19 | Travis Troyer | 3 | 2,599 | second | 2 | 5,000 | W | 2,599 |

S19 | Mark Lee | 3 | 0 | third | 5 | 7,400 | W | 0 |

S19 | Jason McCune | 4 | -2,000 | third | 9 | -2,000 | -- | -2,000 |

S19 | Mark Brown | 4 | 19,205 | first | 19,200 | R | 19,205 | |

S19 | Jackie Harrison | 4 | 0 | second | 8 | 2,600 | W | 0 |

S19 | Eric Floyd | 5 | 0 | second | 3 | 9,000 | W | 0 |

S19 | Alan Bailey | 5 | 20,400 | first | 20,400 | W | 20,400 | |

S19 | Kyle Hale | 5 | 0 | third | 7 | 5,300 | W | 0 |

S21 | Arthur Gandolfi | 1 | 16,200 | first | 16,200 | W | 16,200 | |

S21 | Sam Ott | 1 | 0 | third | 10 | 1,700 | W | 0 |

S21 | Keith Williams | 1 | 3,500 | second | 5 | 7,200 | W | 3,500 |

S21 | Tom Walsh | 2 | 12,401 | first | 11,600 | R | 12,401 | |

S21 | Seth Alcorn | 2 | 10,600 | third | 3 | 5,300 | R | 10,600 |

S21 | Steve Reynolds | 2 | 10,900 | second | 2 | 6,200 | R | 10,900 |

S21 | John Beck | 3 | 599 | third | 9 | 5,600 | W | 599 |

S21 | Scott Renzoni | 3 | 2,000 | second | 8 | 11,000 | W | 2,000 |

S21 | Vinita Kailasanath | 3 | 10,200 | first | 10,600 | W | 10,200 | |

S21 | Chris Miller | 4 | 4,000 | third | 4 | 2,000 | R | 4,000 |

S21 | Tom Baker | 4 | 20,100 | first | 20,000 | R | 20,100 | |

S21 | Russ Schumacher | 4 | 12,400 | second | 1 | 6,400 | R | 12,400 |

S21 | Sean Ryan | 5 | 2,600 | second | 6 | 5,200 | W | 2,600 |

S21 | Anne Boyd | 5 | 7,599 | first | 9,000 | W | 7,599 | |

S21 | Jim Stalley | 5 | 2,400 | third | 7 | 2,400 | W | 2,400 |

S22 | Doug Dorst | 1 | 5,999 | second | 8 | 9,000 | W | 5,999 |

S22 | Kermin Fleming | 1 | 99 | third | 9 | 4,200 | W | 99 |

S22 | Maria Wenglinsky | 1 | 6,400 | first | 13,200 | W | 6,400 | |

S22 | Kevin Marshall | 2 | 16,402 | first | 16,400 | R | 16,402 | |

S22 | David Rozenson | 2 | 6,399 | third | 7 | 3,200 | R | 6,399 |

S22 | Aaron Thompson | 2 | 16,401 | second | 1 | 13,000 | R | 16,401 |

S22 | Kerry Breitenbach | 3 | 10,799 | third | 5 | 10,400 | R | 10,799 |

S22 | Jason Richards | 3 | 11,000 | second | 4 | 13,000 | W | 11,000 |

S22 | Vik Vaz | 3 | 26,001 | first | 23,200 | R | 26,001 | |

S22 | Michael Falk | 4 | 14,000 | third | 3 | 14,000 | W | 14,000 |

S22 | David Madden | 4 | 28,001 | first | 23,000 | R | 28,001 | |

S22 | Bob Mesko | 4 | 14,400 | second | 2 | 10,400 | R | 14,400 |

S22 | Tom Kavanaugh | 5 | 10,000 | second | 6 | 6,000 | R | 10,000 |

S22 | Bill MacDonald | 5 | 18,733 | first | 15,400 | R | 18,733 | |

S22 | Nico Martinez | 5 | 0 | third | 10 | 0 | -- | 0 |

S24 | Mehrun Etebari | 1 | 700 | third | 9 | 9,400 | W | 700 |

S24 | Cathy Lanctot | 1 | 4,400 | second | 7 | 10,400 | W | 4,400 |

S24 | Chris Mazurek | 1 | 17,999 | first | 19,400 | W | 17,999 | |

S24 | Celeste DiNucci | 2 | 21,800 | second | 1 | 15,800 | R | 21,800 |

S24 | Nick Swezey | 2 | 10,600 | third | 5 | 6,600 | R | 10,600 |

S24 | Craig Westphal | 2 | 26,600 | first | 21,600 | R | 26,600 | |

S24 | Paul Glaser | 3 | 19,599 | first | 24,800 | W | 19,599 | |

S24 | Susan Mitchell | 3 | 12,200 | second | 2 | 15,000 | W | 12,200 |

S24 | Jeff Spoeri | 3 | 12,000 | third | 3 | 7,800 | R | 12,000 |

S24 | Christian Haines | 4 | 24,001 | first | 18,800 | R | 24,001 | |

S24 | Sara Terrell | 4 | -1,000 | third | 10 | -1,000 | -- | -1,000 |

S24 | Steve Unite | 4 | 10,000 | second | 6 | 12,000 | W | 10,000 |

S24 | Cliff Galiher | 5 | 11,400 | second | 4 | 14,200 | W | 11,400 |

S24 | Doug Hicton | 5 | 16,400 | first | 8,200 | R | 16,400 | |

S24 | Andrew Rostan | 5 | 3,400 | third | 8 | 16,400 | W | 3,400 |

S25 | Carl Brandt | 1 | 4,800 | third | 6 | 12,400 | W | 4,800 |

S25 | Dan Pawson | 1 | 16,599 | first | 16,800 | W | 16,599 | |

S25 | Cora Peck | 1 | 15,500 | second | 1 | 8,500 | R | 15,500 |

S25 | Larissa Kelly | 2 | 26,400 | first | 23,400 | R | 26,400 | |

S25 | Matt Kohlstedt | 2 | 10,600 | second | 3 | 13,800 | W | 10,600 |

S25 | Tom Morris | 2 | 9,600 | third | 5 | 9,600 | W | 9,600 |

S25 | Ben Bishop | 3 | 15,004 | first | 14,000 | R | 15,004 | |

S25 | Lisa Klink | 3 | 1,000 | third | 7 | 4,000 | W | 1,000 |

S25 | Dave Simpson | 3 | 13,000 | second | 2 | 11,800 | R | 13,000 |

S25 | Aaron Schroeder | 4 | 18,200 | first | 18,200 | R | 18,200 | |

S25 | Jim Stevens | 4 | 1,000 | third | 8 | 1,000 | W | 1,000 |

S25 | Donna Vogel | 4 | 9,900 | second | 4 | 11,600 | W | 9,900 |

S25 | Deborah Fitzgerald | 5 | 1 | third | 10 | 3,400 | W | 1 |

S25 | Erik Nelson | 5 | 3 | second | 9 | 4,800 | W | 3 |

S25 | Mark Wales | 5 | 19,400 | first | 19,400 | R | 19,400 | |

S26 | Ryan Chaffee | 1 | 1,800 | third | 8 | 7,800 | W | 1,800 |

S26 | Liz Murphy | 1 | 17,400 | first | 17,400 | W | 17,400 | |

S26 | Patrick Tucker | 1 | 4,700 | second | 5 | 2,400 | R | 4,700 |

S26 | Terry Linwood | 2 | 21,950 | first | 22,200 | W | 21,950 | |

S26 | Stephen Weingarten | 2 | 50 | third | 9 | 16,400 | W | 50 |

S26 | Nick Yozamp | 2 | 16,400 | second | 1 | 16,400 | W | 16,400 |

S26 | Dave Belote | 3 | 4,999 | second | 4 | 9,600 | W | 4,999 |

S26 | Regina Robbins | 3 | 4,600 | third | 6 | 12,600 | W | 4,600 |

S26 | Andy Srinivasan | 3 | 18,200 | first | 14,200 | R | 18,200 | |

S26 | Joey Beachum | 4 | 0 | third | 10 | 4,600 | W | 0 |

S26 | Justin Bernbach | 4 | 25,836 | first | 25,800 | R | 25,836 | |

S26 | Christine Valada | 4 | 2,400 | second | 7 | 10,200 | W | 2,400 |

S26 | Vijay Balse | 5 | 15,100 | first | 15,600 | W | 15,100 | |

S26 | Stefan Goodreau | 5 | 13,575 | second | 2 | 14,800 | W | 13,575 |

S26 | Jason Zollinger | 5 | 11,500 | third | 3 | 9,200 | R | 11,500 |

S28 | Tom Nissley | 1 | 16,403 | first | 16,400 | R | 16,403 | |

S28 | Jay Rhee | 1 | 16,401 | second | 2 | 12,000 | R | 16,401 |

S28 | Charles Temple | 1 | 285 | third | 6 | 400 | W | 285 |

S28 | Roger Craig | 2 | 19,600 | first | 39,800 | W | 19,600 | |

S28 | Brian Meacham | 2 | 0 | third | 8 | 8,800 | W | 0 |

S28 | Kara Spak | 2 | 6,012 | second | 4 | 6,000 | R | 6,012 |

S28 | John Krizel | 3 | 14 | second | 7 | 2,000 | W | 14 |

S28 | Tom Kunzen | 3 | 0 | third | 10 | 4,200 | W | 0 |

S28 | Joon Pahk | 3 | 30,800 | first | 20,800 | R | 30,800 | |

S28 | Paul Kursky | 4 | 2,400 | third | 5 | 1,200 | R | 2,400 |

S28 | Erin McLean | 4 | 16,003 | second | 3 | 8,600 | R | 16,003 |

S28 | Buddy Wright | 4 | 17,201 | first | 16,800 | R | 17,201 | |

S28 | Mark Runsvold | 5 | 24,000 | first | 12,200 | R | 24,000 | |

S28 | Justin Sausville | 5 | 18,599 | second | 1 | 15,200 | R | 18,599 |

S28 | Christopher Short | 5 | 0 | third | 9 | 5,900 | W | 0 |

S29 | Jason Shore | 1 | 14,000 | second | 3 | 13,000 | R | 14,000 |

S29 | Stephanie Jass | 1 | 13,000 | third | 4 | 13,000 | R | 13,000 |

S29 | Paul Nelson | 1 | 15,800 | first | 15,800 | R | 15,800 | |

S29 | Joel Pool | 2 | 0 | third | 10 | 5,800 | W | 0 |

S29 | David Menchaca | 2 | 11,600 | second | 6 | 11,600 | W | 11,600 |

S29 | Colby Burnett | 2 | 16,400 | first | 15,200 | R | 16,400 | |

S29 | Jason Keller | 3 | 28,200 | first | 28,200 | R | 28,200 | |

S29 | Monica Thieu | 3 | 11,000 | second | 7 | 9,800 | R | 11,000 |

S29 | David Gard | 3 | 100 | third | 9 | 2,400 | W | 100 |

S29 | Keith Whitener | 4 | 26,601 | first | 16,000 | R | 26,601 | |

S29 | Kristin Morgan | 4 | 17,500 | third | 2 | 13,300 | R | 17,500 |

S29 | Dan McShane | 4 | 20,000 | second | 1 | 12,400 | R | 20,000 |

S29 | Dave Leach | 5 | 15,100 | first | 12,600 | R | 15,100 | |

S29 | Patrick Quinn | 5 | 989 | third | 8 | 5,000 | W | 989 |

S29 | Ashok Poozhikunnel | 5 | 12,000 | second | 5 | 12,400 | W | 12,000 |

BOTD | Leszek Pawlowicz | 1 | 15,000 | second | 2 | 15,000 | W | 15,000 |

BOTD | Robin Carroll | 1 | 0 | third | 10 | 5,200 | W | 0 |

BOTD | Roger Craig | 1 | 22,078 | first | 21,000 | R | 22,078 | |

BOTD | Tom Nosek | 2 | 2,400 | third | 7 | 11,200 | W | 2,400 |

BOTD | Pam Mueller | 2 | 14,798 | second | 3 | 17,400 | W | 14,798 |

BOTD | Russ Schumacher | 2 | 16,700 | first | 15,400 | R | 16,700 | |

BOTD | Mark Lowenthal | 3 | 300 | third | 9 | 1,800 | W | 300 |

BOTD | Brad Rutter | 3 | 32,400 | first | 32,400 | W | 32,400 | |

BOTD | Dan Pawson | 3 | 399 | second | 8 | 10,200 | W | 399 |

BOTD | Tom Cubbage | 4 | 19,500 | second | 1 | 9,800 | R | 19,500 |

BOTD | Rachael Schwartz | 4 | 7,600 | third | 6 | 3,800 | R | 7,600 |

BOTD | Ken Jennings | 4 | 40,000 | first | 30,200 | R | 40,000 | |

BOTD | Chuck Forrest | 5 | 11,900 | first | 14,400 | W | 11,900 | |

BOTD | Mark Dawson | 5 | 8,600 | third | 5 | 10,600 | W | 8,600 |

BOTD | Colby Burnett | 5 | 11,000 | second | 4 | 11,800 | W | 11,000 |

S31 | Ben Ingram | 1 | 16,801 | first | 16,100 | R | 16,801 | |

S31 | Rebecca Rider | 1 | 11,600 | second | 3 | 6,600 | R | 11,600 |

S31 | John Pearson | 1 | 0 | third | 9 | 8,400 | W | 0 |

S31 | Arthur Chu | 2 | 21,000 | first | 21,000 | R | 21,000 | |

S31 | Andrew Moore | 2 | 1 | third | 8 | 5,200 | W | 1 |

S31 | Rani Peffer | 2 | 7,599 | second | 5 | 3,800 | R | 7,599 |

S31 | Julia Collins | 3 | 9,100 | second | 4 | 16,200 | W | 9,100 |

S31 | Joshua Brakhage | 3 | 16,206 | first | 11,600 | R | 16,206 | |

S31 | Jim Coury | 3 | 5,600 | third | 6 | 2,800 | R | 5,600 |

S31 | Drew Horwood | 4 | -800 | third | 10 | -800 | -- | -800 |

S31 | Terry O'Shea | 4 | 17,200 | first | 8,800 | R | 17,200 | |

S31 | Sarah McNitt | 4 | 500 | second | 7 | 8,600 | W | 500 |

S31 | Jared Hall | 5 | 16,800 | first | 9,800 | R | 16,800 | |

S31 | Sandie Baker | 5 | 15,500 | second | 1 | 9,000 | R | 15,500 |

S31 | Mark Japinga | 5 | 15,003 | third | 2 | 13,900 | R | 15,003 |

S32 | Dan Feitel | 1 | 14,000 | third | 4 | 7,800 | R | 14,000 |

S32 | Vaughn Winchell | 1 | 16,599 | second | 2 | 17,200 | W | 16,599 |

S32 | Catherine Hardee | 1 | 17,600 | first | 17,800 | W | 17,600 | |

S32 | Greg Seroka | 2 | 11,500 | third | 6 | 13,000 | W | 11,500 |

S32 | Brennan Bushee | 2 | 18,000 | first | 12,000 | R | 18,000 | |

S32 | Kristin Sausville | 2 | 12,800 | second | 5 | 12,800 | W | 12,800 |

S32 | Matt Jackson | 3 | 24,898 | first | 24,900 | W | 24,898 | |

S32 | John Schultz | 3 | 15,000 | second | 3 | 17,800 | W | 15,000 |

S32 | Jennifer Giles | 3 | 3,800 | third | 9 | 10,400 | W | 3,800 |

S32 | Kerry Greene | 4 | 22,000 | first | 18,000 | R | 22,000 | |

S32 | Andrew Haringer | 4 | 19,400 | second | 1 | 17,200 | R | 19,400 |

S32 | Elliot Yates | 4 | 7,200 | third | 7 | 3,600 | R | 7,200 |

S32 | Alex Jacob | 5 | 26,657 | first | 26,800 | W | 26,657 | |

S32 | Scott Lord | 5 | 6,200 | second | 8 | 10,200 | W | 6,200 |

S32 | Michael Bilow | 5 | 0 | third | 10 | 8,400 | W | 0 |

Here are search terms you can use to filter:

- By season: “S#” (e.g., “S32” for the most-recent ToC), “MDM”, “BOTD”
- All in a particular QF: “QF#” (e.g., “QF3”)
- You can combine these: “S32 QF3” will give you a single game

- All QF winners: “winner”
- All wild-card qualifiers: “wild card”
- All #4 wild cards (last in): “cut-off”
- All #5 wild cards (first out): “alternate”
- All #4 and #5 wild cards: “bubble”
- All eliminated players: “eliminated”