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Tournament blocks: Difference between revisions
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== Ideal blocks == | == Ideal blocks == | ||
Ideal blocks require the organizer to plan according to the situation hey are planning for. Block sizes of 4 and of 5 change the dynamic completely. | |||
=== Tournament === | === Tournament === | ||
Tournaments often require a single hanchan between 4 players and then a shuffling of new opponents, aiming to complete a maximum or a set number of hanchan with minimal or no repeats between players. | |||
=== League play === | === League play === | ||
Leagues may require being able to shift between blocks of 4 and 5 players who end up playing 4 hanchan among each other per session. | |||
== Pitfalls and criticism of tournament blocks used for mahjong == | == Pitfalls and criticism of tournament blocks used for mahjong == | ||
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=== League play blocks === | === League play blocks === | ||
Considering that league blocks contain 5 players, the counting mechanism has to be recalculated for Dutch cycles. These numbers are for 6-session events or seasons. These Dutch cycle blocks can drop the last fifth in order to make groups of 4, expanding the solved ranges of players from 80% to 100% of the maximal solutions. For 40, using the social golfer solution below will work for 32 to 40 players. Given the distribution of primes, there is a solution within that 20% range except for 66 and 67 players. | |||
{| class="wikitable" | |||
|- | |||
! Players !! P1 !! P2 !! P3 !! P4 !! P5 !! Comment | |||
|- | |||
| 30 || 0 || 0 || 0 || 0 || 0 || 2 sessions. | |||
|- | |||
| 30 || 0 || 1 || 2 || 3 || 4 || | |||
|- | |||
| 35 || 0 || 0 || 0 || 0 || 0 || 7 sessions (28P-35P) | |||
|- | |||
| 35 || 0 || 1 || 2 || 3 || 4 || | |||
|- | |||
| 35 || 0 || 2 || 4 || 6 || 1 || | |||
|- | |||
| 35 || 0 || 3 || 6 || 2 || 5 || | |||
|- | |||
| 35 || 0 || 4 || 1 || 5 || 2 || | |||
|- | |||
| 35 || 0 || 5 || 3 || 1 || 6 || | |||
|- | |||
| 35 || 0 || 6 || 5 || 4 || 3 || | |||
|- | |||
| 45 || 0 || 0 || 0 || 0 || 0 || 3 sessions | |||
|- | |||
| 45 || 0 || 1 || 2 || 3 || 4 || | |||
|- | |||
| 45 || 0 || 2 || 4 || 6 || 8 || | |||
|- | |||
| 50 || 0 || 0 || 0 || 0 || 0 || 5/6 sessions (40P-50P) | |||
|- | |||
| 50 || 0 || 1 || 2 || 3 || 4 || | |||
|- | |||
| 50 || 0 || 2 || 4 || 6 || 8 || | |||
|- | |||
| 50 || 0 || 3 || 6 || 9 || 2 || | |||
|- | |||
| 50 || 0 || 4 || 8 || 2 || 6 || | |||
|- | |||
| 50 || 0 || 5 || 3 || 1 || 9 || (non-Dutch) | |||
|- | |||
| 55 || 0 || 0 || 0 || 0 || 0 || 11 sessions (44P-55P) | |||
|- | |||
| 55 || 0 || 1 || 2 || 3 || 4 || | |||
|- | |||
| 55 || 0 || 2 || 4 || 6 || 8 || | |||
|- | |||
| 55 || 0 || 3 || 6 || 9 || 1 || | |||
|- | |||
| 55 || 0 || 4 || 8 || 1 || 5 || | |||
|- | |||
| 55 || 0 || 5 || 10 || 4 || 9 || | |||
|- | |||
| 55 || 0 || 6 || 1 || 7 || 2 || | |||
|- | |||
| 55 || 0 || 7 || 3 || 10 || 6 || | |||
|- | |||
| 55 || 0 || 8 || 5 || 2 || 10 || | |||
|- | |||
| 55 || 0 || 9 || 7 || 5 || 3 || | |||
|- | |||
| 55 || 0 || 10 || 9 || 8 || 7 || | |||
|} | |||