
2004 NSC Pairing System Overview[Updated 20040728 to add a description of the Basic Approach] The first 7 rounds (sessions 1 and 3/4 of 2) will be a Round Robin in groups of 8 players. The 8th round will be KingoftheHill based upon the initial ratings. Each group of 8 players will be chosen using the June 2004 ratings list, using a "snake" arrangement. The snake appellation comes from listing all the players (represented by transforming their June 2004 National SCRABBLE^{®} Association (NSA) rating into an ordinal number for each division) into 8 rows and x/8 columns (x=number of players in the division), with each oddnumbered row increasing numbers from lefttoright and each evennumbered row increasing numbers from righttoleft. The top row begins with #1. For example, if there are 96 players in your division, the first group will include the ordinals 1, 24, 25, 48, 49, 72, 73 and 96, all in the leftmost column, based on rating, where #1 is the highestrated player. The top two rows would be: 1 2 3 4 5 6 7 8 9 10 11 12 24 23 22 21 20 19 18 17 16 15 14 13 Dividing the group in this manner insures that the average rating of all players' opponents for all of the first 8 rounds is approximately even. We will post only those rounds pertinent to each session. Each group will play at the same four boards and two tables, since there will be two boards at each table. This will ensure a minimum of movement. Note that in all later sessions, the numbers/ordinals below will represent the players' tournament standing among all the players in each division. Subsequent sessions will be paired in groups of four (quads, unsnaked), and with each succeeding session these paired players will have win/loss records more similar than prior sessions. Also, define A = highest standing player in quad; B = 2nd highest in quad; C = 3rd highest; D = lowest. Session 3 (Monday morning: 4 rounds) will pair from groups of 20, which means that the quads for the highest group of 20 will consist of (1, 6, 11, 16), (2, 7, 12, 17), (3, 8, 13, 18), (4, 9, 14, 19) and (5, 10, 15, 20), etc., and so on for all quads in each group of 20 in each division. The fourth round in the morning will pair A vs A1, B vs B1, C vs C1 and D vs D1, etc, where A1 is the A player in the adjacent quad. Session 4 (Monday afternoon: 3 rounds) will pair from groups of 16, which means that the quads for the highest group of 16 will consist of (1, 5, 9, 13), (2, 6, 10, 14), (3, 7, 11, 15) and (4, 8, 12, 16) etc. Session 5 (Tuesday morning: 4 rounds) paired as Session 3 except that quads will be formed from groups 12: (1, 4, 7, 10), (2, 5, 8, 11), (3, 6, 9, 12), etc., and repeats will be allowed. Session 6 (Tuesday afternoon: 4 rounds) will be paired as Session 5 except that quads will be formed from groups of 8: (1, 3, 5, 7), (2, 4, 6, 8) etc. Session 7 (Wednesday morning: 4 rounds) will be paired as Session 6 except that quads will be formed from groups of 4: (1, 2, 3, 4) etc. Because there will be no repeat pairings until Round 16 (Tuesday afternoon), the computer program will adjust the quad pairings accordingly, with minimum adjustments. Session 8, rounds 2830, players in positions 41bottom will be paired in KingoftheHill quads (41, 42, 43, 44) etc. so that they will know their opponents for all three rounds at the beginning of the afternoon. For players in the top 40 positions, each of the last three rounds will be paired individually and we will follow what we'll call the BASIC APPROACH, which is briefly summarized below. This system was created to accommodate the twowinner aspect of our NSC this year. "Threepeats" will be allowed. In describing the BASIC APPROACH, we use the term GIBSONIZE, or a form of this invented word to represent a situation where a player has won enough games to guaranteed 1st place or a seat in the finals, no matter how many games s/he loses thereafter. By GIBSONIZING the player, the staff acknowledges that the player will be a finalist. Because a guaranteed finalist has little incentive to play their very best, instead of being paired with another top contender, s/he will be paired with the player who is in the highest position of the division who has no chance to finish among the top prizewinners. This will allow the remaining contenders to continue to play each other for the other prizewinning positions. Note: Due to the fact that Division 7 currently has only about 40 players registered, there may be a lastminute change in its pairing procedure. We will announce any changes as soon as they become official. In all likelihood, the initial RR pairings will be adjusted to last closer to 1920 rounds, with the whole division divided into two separate groups. This change will have the advantage over the current system of avoiding repeat pairings as much as possible. BASIC APPROACHDivisions 27: One WinnerAt the beginning of each round (28, 29, 30), ask: Is there a player to be Gibsonized? If yes, then that player plays the player who in the opinion of the Division Leader is most likely the highest placing player who cannot win a topfinishing prize.For players in the top 40 positions, each of the last three rounds will be paired individually and will be kingofthehill, with threepeats allowed. However, for the top six players a modified pairing system will be used: Rd 28: It will be determined if the player in the #5 spot has any legitimate chance to finish first by winning all his/her games (discounting spread). If so, then the top six will be paired 1 vs 4, 2 vs 5 and 3 vs 6 for Round 29. If #5 does not have a legitimate chance to finish first, then 1 vs 3 and 2 vs 4, while 5 vs 6. For round 29: 5 vs 6. If #3 has a legitimate chance to finish first (as determined using same method for previous round for #5), then 1 vs 3 and 2 vs 4. If #3 doesn't have a legitimate chance to finish first then all of the top 40 will be kingofthehill. Round 30: Top 40 = kingofthehill. Division 1: Two WinnersFor each of rounds 28, 29 and 30:
These pairings were determined and agreedupon by the NSA Pairings Committee, who were chosen by NSA Executive Director, John D. Williams, Jr., late in 2003. The committee members are: Steven Alexander (OR), David Boys (QC), John Chew (ONT), Joe Edley (NY), Gregg Foster (MA) and Jerry Lerman (CA). 
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