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Tournament blocks: Difference between revisions
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== Ideal tournament blocks == | == Ideal tournament blocks == | ||
Ideal blocks require the organizer to plan according to the situation | Ideal blocks require the organizer to plan according to the situation they are planning for. | ||
=== Tournament criteria to consider === | === Tournament criteria to consider === | ||
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! Min. Players !! Max Players !! Mechanism !! Comment !! 0-indexed grid | ! Min. Players !! Max Players !! Mechanism !! Comment !! 0-indexed grid | ||
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| 16 || 19 || 4P perfect + AABBB + BBCCD + CCAAC || First 16 players play each other without repeats. Players 17-19 have between 6-9 duplicates, no triplicates. | | 16 || 19 || 4P perfect + AABBB + BBCCD + CCAAC || First 16 players play each other without repeats. Players 17-19 have between 6-9 duplicates, no triplicates. || {0, 4, 8, 12, 16}, {1, 5, 9, 13, 17}, {2, 6, 10, 14, 18}, {3, 7, 11, 15} <br/> {0, 5, 10, 15, 16}, {1, 4, 11, 14, 17}, {2, 7, 8, 13, 18}, {3, 6, 9, 12} <br/> {0, 6, 11, 13, 18}, {1, 7, 10, 12, 16}, {2, 4, 9, 15, 17}, {3, 5, 8, 14} <br/> {0, 7, 9, 14, 18}, {1, 6, 8, 15, 16}, {2, 5, 11, 12, 17}, {3, 4, 10, 13} <br/> {0, 1, 2, 3}, {5, 4, 7, 6, 16}, {10, 11, 8, 9, 18}, {15, 14, 13, 12, 17} | ||
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| 20 || 25 || Dutch cycle for 20 + CCABD + AEDCA + BDBDC + DBCEE + EAEAB || 20 and 21 have zero duplicates. 22-25 have 5 duplicates, and no triplicates. || {0, 1, 2, 3, 21}, {4, 5, 6, 7, 22}, {8, 9, 10, 11, 20}, {12, 13, 14, 15, 23}, {16, 17, 18, 19, 24} <br/> {0, 4, 8, 12, 24}, {1, 5, 9, 16, 23}, {2, 6, 13, 17, 20}, {3, 10, 14, 18, 22}, {8, 11, 15, 19, 21} <br/> {0, 5, 14, 19, 20}, {1, 4, 11, 17, 22}, {2, 8, 15, 18, 23}, {3, 6, 9, 12, 21}, {7, 10, 13, 16, 24} <br/> {0, 9, 15, 17, 24}, {1, 7, 12, 18, 20}, {2, 4, 10, 19, 21}, {3, 5, 8, 13, 22}, {6, 11, 14, 16, 23} <br/> {0, 11, 13, 18, 21}, {1, 6, 8, 19, 24}, {2, 7, 9, 14, 22}, {3, 4, 15, 16, 20}, {5, 10, 12, 17, 23} | | 20 || 25 || Dutch cycle for 20 + CCABD + AEDCA + BDBDC + DBCEE + EAEAB || 20 and 21 have zero duplicates. 22-25 have 5 duplicates, and no triplicates. || {0, 1, 2, 3, 21}, {4, 5, 6, 7, 22}, {8, 9, 10, 11, 20}, {12, 13, 14, 15, 23}, {16, 17, 18, 19, 24} <br/> {0, 4, 8, 12, 24}, {1, 5, 9, 16, 23}, {2, 6, 13, 17, 20}, {3, 10, 14, 18, 22}, {8, 11, 15, 19, 21} <br/> {0, 5, 14, 19, 20}, {1, 4, 11, 17, 22}, {2, 8, 15, 18, 23}, {3, 6, 9, 12, 21}, {7, 10, 13, 16, 24} <br/> {0, 9, 15, 17, 24}, {1, 7, 12, 18, 20}, {2, 4, 10, 19, 21}, {3, 5, 8, 13, 22}, {6, 11, 14, 16, 23} <br/> {0, 11, 13, 18, 21}, {1, 6, 8, 19, 24}, {2, 7, 9, 14, 22}, {3, 4, 15, 16, 20}, {5, 10, 12, 17, 23} | ||