# Optimal seatings changes

03 Nov 2014 08:44 - 13 Mar 2017 10:06 #67154
by Ankha

*Optimal seatings changes*was created by

*Ankha*

Please disregard those results, for some of them are wrong due to a flaw in the validation.

From now on, I strongly recommand not to use the version 1.5e but version 1.5f :

Excel: www.vekn.net/images/stories/downloads/thearchon1.5f.xlsx

LibreOffice: www.vekn.net/images/stories/downloads/thearchon1.5f.ods

I've been working recently on the 2R+F optimal seatings of the archons, and I've found some more "optimal" seatings than the current ones. The search has been done through exhaustive computations so I doubt there will be better results.

Of course, there's more than one seating that is optimal, but they're all equivalent. For instance, for 10 players:

T1: 4 9 2 7 1 T2: 10 3 5 6 8

and

T1: 4 8 2 6 1 T2: 10 5 9 3 7

are the same in respect to rules 1 to 8. They both violate rule 2 (2. No pair of players share a table through all two rounds, when possible. (N/A in some 2R event.)).

Starting transfers can't be equitably distributed (rule 8) because there are 28 transfers to divide between 10 players.

Nevertheless, in the first case, we have an absolute deviation of 0,72: 1, 2, 3, 4, 6, 10 have 5 transfers | 5, 8 have 7 transfers | 7, 9 have 6 transfers

In the second case, an absolute deviation of 0,72 too: 1, 2, 4, 6, 8, 10 have 5 transfers | 3, 9 have 7 transfers | 5, 7 have 6 transfers.

Basically, some players swap their positions. We'll choose arbitrarily one of the optimal seatings as the official one.

The current optimal seating for 10 players is:

T1: 10 1 4 7 3 T2: 5 6 9 2 8

Which gives us an absolute deviation of 1,28: 1, 6 have 3 transfers | 2, 7 have 6 transfers | 3, 4, 8, 9 have 7 transfers | 5, 10 have 5 transfers

which is worse (we have 2 players with 3 transfers).

The optimal seatings will be updated in the next version of the archon, here's the current "best" optimal seatings:

(NB: in some cases, rule "3. Available VPs are equitably distributed." is violated too, when the tables have different sizes. The optimal seating is the one with the smaller absolute deviation on the vps).

Rule 2 KO (player 1 shares a table with player 2): 24 (once), 8 (twice)

Rule 8 KO. Absolute deviation is: 0.72 => 1, 2, 3, 4, 6, 10 have 5 transfers | 5, 8 have 7 transfers | 7, 9 have 6 transfers

Rule 2 KO (player 1 shares a table with player 3): 30 (once), 3 (twice)

Rule 8 KO. Absolute deviation is: 0.333333333333333 => 1, 4, 6, 7, 8, 9, 10, 11 have 5 transfers | 2, 12 have 6 transfers | 3, 5 have 4 transfers

Reverted back to 1.5a seating, until we find a better seating.

Rule 2 KO (player 1 shares a table with player 2): 42 (once), 5 (twice)

Rule 3 KO. Absolute deviation is: 0,476190476190476 => 1, 4, 6, 8, 11, 12, 13, 14 have 9 VP | 2, 3, 5, 7, 9, 10 have 10 VP

Rule 8 KO. Absolute deviation is: 0,836734693877551 => 1, 3 have 4 transfers | 2, 12, 14 have 6 transfers | 4, 5, 6, 7, 8, 11, 13 have 5 transfers | 9 have 7 transfers | 10 have 8 transfers

Rule 2 KO (player 2 shares a table with player 5): 48 (once), 6 (twice)

Rule 8 KO. Absolute deviation is: 0,72 => 1, 6, 7, 9, 11, 12, 13, 14, 15 have 5 transfers | 2, 4, 5 have 6 transfers | 3, 8, 10 have 7 transfers

All rules are OK!

(Current seating is OK too!)

Rule 2 KO (player 3 shares a table with player 5): 54 (once), 1 (twice)

From now on, I strongly recommand not to use the version 1.5e but version 1.5f :

Excel: www.vekn.net/images/stories/downloads/thearchon1.5f.xlsx

LibreOffice: www.vekn.net/images/stories/downloads/thearchon1.5f.ods

I've been working recently on the 2R+F optimal seatings of the archons, and I've found some more "optimal" seatings than the current ones. The search has been done through exhaustive computations so I doubt there will be better results.

Of course, there's more than one seating that is optimal, but they're all equivalent. For instance, for 10 players:

T1: 4 9 2 7 1 T2: 10 3 5 6 8

and

T1: 4 8 2 6 1 T2: 10 5 9 3 7

are the same in respect to rules 1 to 8. They both violate rule 2 (2. No pair of players share a table through all two rounds, when possible. (N/A in some 2R event.)).

Starting transfers can't be equitably distributed (rule 8) because there are 28 transfers to divide between 10 players.

Nevertheless, in the first case, we have an absolute deviation of 0,72: 1, 2, 3, 4, 6, 10 have 5 transfers | 5, 8 have 7 transfers | 7, 9 have 6 transfers

In the second case, an absolute deviation of 0,72 too: 1, 2, 4, 6, 8, 10 have 5 transfers | 3, 9 have 7 transfers | 5, 7 have 6 transfers.

Basically, some players swap their positions. We'll choose arbitrarily one of the optimal seatings as the official one.

The current optimal seating for 10 players is:

T1: 10 1 4 7 3 T2: 5 6 9 2 8

Which gives us an absolute deviation of 1,28: 1, 6 have 3 transfers | 2, 7 have 6 transfers | 3, 4, 8, 9 have 7 transfers | 5, 10 have 5 transfers

which is worse (we have 2 players with 3 transfers).

The optimal seatings will be updated in the next version of the archon, here's the current "best" optimal seatings:

(NB: in some cases, rule "3. Available VPs are equitably distributed." is violated too, when the tables have different sizes. The optimal seating is the one with the smaller absolute deviation on the vps).

**10 players: 4 9 2 7 1 | 10 3 5 6 8**Rule 2 KO (player 1 shares a table with player 2): 24 (once), 8 (twice)

Rule 8 KO. Absolute deviation is: 0.72 => 1, 2, 3, 4, 6, 10 have 5 transfers | 5, 8 have 7 transfers | 7, 9 have 6 transfers

*(Current seating has an absolute deviation of 1.28)***11 players: no calculated, it should be avoided anyway****12 players: 4 11 9 5 | 8 3 1 10 | 12 7 2 6**(fixed in 1.5f)Rule 2 KO (player 1 shares a table with player 3): 30 (once), 3 (twice)

Rule 8 KO. Absolute deviation is: 0.333333333333333 => 1, 4, 6, 7, 8, 9, 10, 11 have 5 transfers | 2, 12 have 6 transfers | 3, 5 have 4 transfers

*(Current seating has an absolute deviation of 0.5)***13 players: 4 13 6 12 7 | 3 8 2 10 | 11 5 9 1**(fixed in 1.5f)Reverted back to 1.5a seating, until we find a better seating.

**14 players: 5 3 12 7 11 | 9 13 2 8 1 | 14 10 4 6**(fixed in 1.5f)Rule 2 KO (player 1 shares a table with player 2): 42 (once), 5 (twice)

*(Current seating is: 40 once, 6 twice)*Rule 3 KO. Absolute deviation is: 0,476190476190476 => 1, 4, 6, 8, 11, 12, 13, 14 have 9 VP | 2, 3, 5, 7, 9, 10 have 10 VP

*(Current seating has the same absolute deviation)*Rule 8 KO. Absolute deviation is: 0,836734693877551 => 1, 3 have 4 transfers | 2, 12, 14 have 6 transfers | 4, 5, 6, 7, 8, 11, 13 have 5 transfers | 9 have 7 transfers | 10 have 8 transfers

*(Current seating has the same absolute deviation)***15 players: 9 13 7 11 1 | 14 5 12 6 2 | 15 4 10 8 3**(fixed in 1.5f)Rule 2 KO (player 2 shares a table with player 5): 48 (once), 6 (twice)

Rule 8 KO. Absolute deviation is: 0,72 => 1, 6, 7, 9, 11, 12, 13, 14, 15 have 5 transfers | 2, 4, 5 have 6 transfers | 3, 8, 10 have 7 transfers

*(Current seating has an absolute deviation of 1.09)***16 players: 16 11 6 1 | 12 15 2 5 | 8 3 14 9 | 4 7 10 13**All rules are OK!

(Current seating is OK too!)

**17 players: 5 3 7 14 10 | 4 12 15 6 | 9 16 11 1 | 17 13 2 8**(fixed in 1.5f)Rule 2 KO (player 3 shares a table with player 5): 54 (once), 1 (twice)

*(Current seating is KO, 46 once, 5 twice)*

Rule 3 KO. Absolute deviation is: 0,617647058823529 => 1, 2, 4, 7, 10, 14 have 9 VP | 3, 5 have 10 VP | 6, 8, 9, 11, 12, 13, 15, 16, 17 have 8 VP

Rule 8 KO. Absolute deviation is: 0,311418685121107 => 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17 have 5 transfers | 8 have 7 transfers | 13 have 6 transfers

Rule 2 KO (player 1 shares a table with player 4): 60 (once), 2 (twice)

Rule 3 KO. Absolute deviation is: 0,555555555555556 => 1, 4, 5, 6, 7, 9 have 10 VP | 2, 3, 8, 10, 11, 13, 15, 16 have 9 VP | 12, 14, 17, 18 have 8 VP

Rule 8 KO. Absolute deviation is: 0,518518518518519 => 1, 4, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18 have 5 transfers | 2, 5 have 6 transfers | 3, 14 have 7 transfers

Rule 2 KO (player 1 shares a table with player 3): 66 (once), 3 (twice)

Rule 3 KO. Absolute deviation is: 0,552631578947368 => 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15 have 10 VP | 5, 10, 14, 17, 18, 19 have 9 VP | 16 have 8 VP

Rule 8 KO. Absolute deviation is: 0,648199445983379 => 1, 4, 6, 7, 11, 12, 13, 14, 15, 16, 17, 18, 19 have 5 transfers | 2, 9, 10 have 6 transfers | 3, 5, 8 have 7 transfers

Rule 2 KO (player 3 shares a table with player 5): 72 (once), 4 (twice)

Rule 8 KO. Absolute deviation is: 0,72 => 1, 6, 7, 9, 11, 12, 14, 16, 17, 18, 19, 20 have 5 transfers | 2, 4, 10, 15 have 6 transfers | 3, 5, 8, 13 have 7 transfers

Rule 2 KO (player 3 shares a table with player 5): 66 (once), 1 (twice)

Rule 3 KO. Absolute deviation is: 0,533333333333333 => 1 have 10 VP | 2, 3, 4, 5, 7, 13, 15, 20 have 9 VP | 6, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19, 21 have 8 VP

Rule 8 KO. Absolute deviation is: 0,258503401360544 => 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 21 have 5 transfers | 15 have 6 transfers | 17 have 7 transfers

Rule 2 KO (player 3 shares a table with player 5): 66 (once), 5 (twice)

Rule 3 KO. Absolute deviation is: 0,472727272727273 => 1, 2, 6 have 10 VP | 3, 4, 5, 7, 8, 9, 10, 12, 16, 17, 18, 19, 21, 22 have 9 VP | 11, 13, 14, 15, 20 have 8 VP

Rule 8 KO. Absolute deviation is: 0,446280991735537 => 1, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 have 5 transfers | 2, 5 have 6 transfers | 3, 10 have 7 transfers

Rule 2 KO (player 2 shares a table with player 4): 72 (once), 6 (twice)

Rule 3 KO. Absolute deviation is: 0,382608695652174 => 1, 6, 7, 9, 11, 12, 13 have 10 VP | 2, 3, 4, 5, 8, 10, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 have 9 VP

Rule 8 KO. Absolute deviation is: 0,578449905482042 => 1, 2, 6, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 have 5 transfers | 3, 8, 10 have 7 transfers | 4, 5, 12 have 6 transfers

Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,466666666666667 => 1, 2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20 have 10 VP | 3, 5, 10, 15, 21, 22, 23, 24 have 9 VP

Rule 8 KO. Absolute deviation is: 0,666666666666667 => 1, 2, 4, 6, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24 have 5 transfers | 3, 5, 8, 13 have 7 transfers | 7, 9, 10, 20 have 6 transfers

Rule 2 OK.

Rule 8 KO. Absolute deviation is: 0,72 => 1, 2, 4, 6, 9, 11, 12, 15, 16, 17, 19, 21, 22, 23, 24 have 5 transfers | 3, 5, 8, 13, 18 have 7 transfers | 7, 10, 14, 20, 25 have 6 transfers

Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,410256410256411 => 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 19, 20, 21, 23, 24, 25, 26 have 9 VP | 12, 13, 14, 16, 17, 22 have 8 VP

Rule 8 KO. Absolute deviation is: 0,390532544378698 => 1, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 have 5 transfers | 2, 4 have 6 transfers | 3, 5 have 7 transfers

Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,111111111111111 => 1, 6, 11 have 10 VP | 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 have 9 VP

Rule 8 KO. Absolute deviation is: 0,518518518518518 => 1, 2, 4, 6, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 have 5 transfers | 3, 5, 8 have 7 transfers | 7, 9, 10 have 6 transfers

Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,425287356321839 => 1, 2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 have 10 VP | 3, 5, 10, 15, 26, 27, 28, 29 have 9 VP

Rule 8 KO. Absolute deviation is: 0,677764565992866 => 1, 4, 6, 11, 12, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29 have 5 transfers | 2, 7, 9, 10, 14 have 6 transfers | 3, 5, 8, 13, 20 have 7 transfers

Rule 2 KO.

Rule 8 KO. Absolute deviation is: 0,72 => 1, 4, 6, 11, 12, 15, 16, 17, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30 have 5 transfers | 2, 7, 9, 10, 14, 25 have 6 transfers | 3, 5, 8, 13, 18, 20 have 7 transfers

Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,16589861751152 => 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31 have 9 VP | 16 have 8 VP

Rule 8 KO. Absolute deviation is: 0,468262226847034 => 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31 have 5 transfers | 5, 17, 25 have 6 transfers | 10, 18, 19 have 7 transfers

Computing results for 30+ players in progress...

* didn't perform an exhaustive searchRule 3 KO. Absolute deviation is: 0,617647058823529 => 1, 2, 4, 7, 10, 14 have 9 VP | 3, 5 have 10 VP | 6, 8, 9, 11, 12, 13, 15, 16, 17 have 8 VP

*(Current seating has a better absolute deviation: 0,5 => 1, 2, 3, 4, 5, 6, 8, 11, 13, 17 have 9 VP | 7, 9, 10, 12, 14, 15, 16 have 8 VP)*Rule 8 KO. Absolute deviation is: 0,311418685121107 => 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17 have 5 transfers | 8 have 7 transfers | 13 have 6 transfers

*(Current seating has an absolute deviation of 0.93)***18 players: 9 5 7 15 11 | 4 13 16 6 1 | 10 17 12 2 | 18 8 14 3**(fixed in 1.5f)Rule 2 KO (player 1 shares a table with player 4): 60 (once), 2 (twice)

*(Current seating has 48 once, 8 twice)*Rule 3 KO. Absolute deviation is: 0,555555555555556 => 1, 4, 5, 6, 7, 9 have 10 VP | 2, 3, 8, 10, 11, 13, 15, 16 have 9 VP | 12, 14, 17, 18 have 8 VP

*(Current seating has a better absolute deviation of 0,1111)*Rule 8 KO. Absolute deviation is: 0,518518518518519 => 1, 4, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 17, 18 have 5 transfers | 2, 5 have 6 transfers | 3, 14 have 7 transfers

*(Current seating has an absolute deviation of 0.74)***19 players: 4 18 7 11 6 | 19 9 12 3 1 | 15 13 17 2 8 | 14 10 5 16**(fixed in 1.5f)Rule 2 KO (player 1 shares a table with player 3): 66 (once), 3 (twice)

*(Current seating is: 56 once, 8 twice)*Rule 3 KO. Absolute deviation is: 0,552631578947368 => 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 15 have 10 VP | 5, 10, 14, 17, 18, 19 have 9 VP | 16 have 8 VP

*(Current seating has a better absolute deviation: 0,5)*Rule 8 KO. Absolute deviation is: 0,648199445983379 => 1, 4, 6, 7, 11, 12, 13, 14, 15, 16, 17, 18, 19 have 5 transfers | 2, 9, 10 have 6 transfers | 3, 5, 8 have 7 transfers

*(Current seating has an absolute deviation of 0.69)***20 players: 9 4 12 16 11 | 14 18 7 2 6 | 19 10 17 13 1 | 20 15 5 8 3**Rule 2 KO (player 3 shares a table with player 5): 72 (once), 4 (twice)

*(Current seating is: 58 once, 11 twice)*Rule 8 KO. Absolute deviation is: 0,72 => 1, 6, 7, 9, 11, 12, 14, 16, 17, 18, 19, 20 have 5 transfers | 2, 4, 10, 15 have 6 transfers | 3, 5, 8, 13 have 7 transfers

*(Current seating has an absolute deviation of 0.76)***21 players: 13 20 7 15 1 | 9 16 2 18 | 4 12 19 14 | 21 8 17 10 | 5 3 11 6**Rule 2 KO (player 3 shares a table with player 5): 66 (once), 1 (twice)

*(Current seating is: 58 once, 11 twice)*Rule 3 KO. Absolute deviation is: 0,533333333333333 => 1 have 10 VP | 2, 3, 4, 5, 7, 13, 15, 20 have 9 VP | 6, 8, 9, 10, 11, 12, 14, 16, 17, 18, 19, 21 have 8 VP

*(Current seating has a better absolute deviation: 0.495)*Rule 8 KO. Absolute deviation is: 0,258503401360544 => 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16, 18, 19, 20, 21 have 5 transfers | 15 have 6 transfers | 17 have 7 transfers

*(Current seating has the same absolute deviation)***22 players: 18 21 16 19 1 | 22 17 12 2 6 | 9 13 7 15 | 4 8 10 11 | 14 5 20 3**Rule 2 KO (player 3 shares a table with player 5): 66 (once), 5 (twice)

*(Current seating is: 60 once, 8 twice)*Rule 3 KO. Absolute deviation is: 0,472727272727273 => 1, 2, 6 have 10 VP | 3, 4, 5, 7, 8, 9, 10, 12, 16, 17, 18, 19, 21, 22 have 9 VP | 11, 13, 14, 15, 20 have 8 VP

*(Current seating has a better absolute deviation: 0,254)*Rule 8 KO. Absolute deviation is: 0,446280991735537 => 1, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22 have 5 transfers | 2, 5 have 6 transfers | 3, 10 have 7 transfers

*(Current seating has the same absolute deviation)***23 players: 23 18 21 11 16 | 19 22 17 12 6 | 9 13 7 20 1 | 14 4 2 8 | 15 5 10 3**Rule 2 KO (player 2 shares a table with player 4): 72 (once), 6 (twice)

*(Current seating is 76 once, 4 twice, which is better)*Rule 3 KO. Absolute deviation is: 0,382608695652174 => 1, 6, 7, 9, 11, 12, 13 have 10 VP | 2, 3, 4, 5, 8, 10, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 have 9 VP

*(Current seating has the same absolute deviation)*Rule 8 KO. Absolute deviation is: 0,578449905482042 => 1, 2, 6, 7, 9, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23 have 5 transfers | 3, 8, 10 have 7 transfers | 4, 5, 12 have 6 transfers

*(Current seating has an absolute deviation of 0.87)**Note also that rule 7. "A player doesn't play in the same seat position, if possible." is violated in the current seating (player 3, table 1, position 3)***24 players: 19 23 17 21 16 | 24 18 22 11 6 | 14 20 12 1 7 | 4 9 2 13 8 | 15 10 5 3**Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,466666666666667 => 1, 2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20 have 10 VP | 3, 5, 10, 15, 21, 22, 23, 24 have 9 VP

*(Current seating has the same absolute deviation)*Rule 8 KO. Absolute deviation is: 0,666666666666667 => 1, 2, 4, 6, 11, 12, 14, 15, 16, 17, 18, 19, 21, 22, 23, 24 have 5 transfers | 3, 5, 8, 13 have 7 transfers | 7, 9, 10, 20 have 6 transfers

*(Current seating has an absolute deviation of 0.95)***25 players*: 10 14 22 18 1 | 15 19 2 23 6 | 20 24 7 3 11 | 25 4 12 8 16 | 5 9 17 13 21 (seating was done manually)**Rule 2 OK.

*(Current seating is 84 once, 8 twice)*Rule 8 KO. Absolute deviation is: 0,72 => 1, 2, 4, 6, 9, 11, 12, 15, 16, 17, 19, 21, 22, 23, 24 have 5 transfers | 3, 5, 8, 13, 18 have 7 transfers | 7, 10, 14, 20, 25 have 6 transfers

*(Current seating has an absolute deviation of 0.72)***26 players: 26 21 24 19 11 | 22 25 20 16 12 | 14 17 7 23 | 4 13 2 15 | 18 8 5 6 | 9 3 10 1**Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,410256410256411 => 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 15, 18, 19, 20, 21, 23, 24, 25, 26 have 9 VP | 12, 13, 14, 16, 17, 22 have 8 VP

*(Current seating has an absolute deviation of 0.51)*Rule 8 KO. Absolute deviation is: 0,390532544378698 => 1, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26 have 5 transfers | 2, 4 have 6 transfers | 3, 5 have 7 transfers

*(Current seating has an absolute deviation of 1.34)***27 players: 19 26 17 24 11 | 27 22 25 20 1 | 23 18 21 16 6 | 14 9 12 7 | 4 13 2 8 | 15 10 5 3**Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,111111111111111 => 1, 6, 11 have 10 VP | 2, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 have 9 VP

*(Current seating has an absolute deviation of 0.40)*Rule 8 KO. Absolute deviation is: 0,518518518518518 => 1, 2, 4, 6, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27 have 5 transfers | 3, 5, 8 have 7 transfers | 7, 9, 10 have 6 transfers

*(Current seating has an absolute deviation of 1.38)***29 players*: 24 28 22 26 21 | 29 23 27 16 11 | 19 14 17 6 1 | 4 18 12 7 2 | 25 9 20 13 8 | 15 10 5 3**Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,425287356321839 => 1, 2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25 have 10 VP | 3, 5, 10, 15, 26, 27, 28, 29 have 9 VP

*(Current seating has an absolute deviation of 0.42)*Rule 8 KO. Absolute deviation is: 0,677764565992866 => 1, 4, 6, 11, 12, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29 have 5 transfers | 2, 7, 9, 10, 14 have 6 transfers | 3, 5, 8, 13, 20 have 7 transfers

*(Current seating has an absolute deviation of 1.33)***30 players*: 24 28 22 26 21 | 29 23 27 16 11 | 19 14 17 6 1 | 4 9 12 7 2 | 30 25 20 18 13 | 15 10 5 8 3**Rule 2 KO.

Rule 8 KO. Absolute deviation is: 0,72 => 1, 4, 6, 11, 12, 15, 16, 17, 19, 21, 22, 23, 24, 26, 27, 28, 29, 30 have 5 transfers | 2, 7, 9, 10, 14, 25 have 6 transfers | 3, 5, 8, 13, 18, 20 have 7 transfers

*(Current seating has an absolute deviation of 1.52)***31 players: 23 26 29 25 28 | 27 30 21 24 17 | 31 22 19 20 18 | 14 8 12 16 | 4 13 7 11 | 9 5 2 6 | 15 3 10 1**Rule 2 KO.

Rule 3 KO. Absolute deviation is: 0,16589861751152 => 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31 have 9 VP | 16 have 8 VP

*(Current seating has an absolute deviation of 0.55)*Rule 8 KO. Absolute deviation is: 0,468262226847034 => 1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 20, 21, 22, 23, 24, 26, 27, 28, 29, 30, 31 have 5 transfers | 5, 17, 25 have 6 transfers | 10, 18, 19 have 7 transfers

*(Current seating has an absolute deviation of 1.32)*Computing results for 30+ players in progress...

* didn't perform an exhaustive search

Last edit: 13 Mar 2017 10:06 by Ankha.

Please Log in or Create an account to join the conversation.

03 Nov 2014 08:52 #67155
by BenPeal

Replied by

*BenPeal*on topic*Re: Optimal seatings changes*#### Attachment Work_and.jpg not found

##### Attachments:

Please Log in or Create an account to join the conversation.

03 Nov 2014 13:09 - 03 Nov 2014 13:09 #67170
by Ankha

Replied by

*Ankha*on topic*Re: Optimal seatings changes*
Seating for 17 players is interesting: the current archon has a better absolute deviation for VPs, and a worse one for transfers.

And no, you can't have both

Question is: would you favor the transfers so they are more equitably distributed, or the VPs (ie: how many times you sit at a 4-players table)?

And no, you can't have both

Question is: would you favor the transfers so they are more equitably distributed, or the VPs (ie: how many times you sit at a 4-players table)?

Last edit: 03 Nov 2014 13:09 by Ankha.

Please Log in or Create an account to join the conversation.

03 Nov 2014 13:11 #67172
by BenPeal

I would rather the VPs be more equitably distributed than the transfers.

Replied by

*BenPeal*on topic*Re: Optimal seatings changes*Question is: would you favor the transfers so they are more equitably distributed, or the VPs (ie: how many times you sit at a 4-players table)?

I would rather the VPs be more equitably distributed than the transfers.

Please Log in or Create an account to join the conversation.

03 Nov 2014 13:23 - 03 Nov 2014 13:23 #67173
by Timo

I guess you have to balance your data.

Because going from 0.5 to 0.56 for the VP is no big deal but going from 0.93 to 0.31 for transfers is more important (IMO).

Replied by

*Timo*on topic*Re: Optimal seatings changes*

Question is: would you favor the transfers so they are more equitably distributed, or the VPs (ie: how many times you sit at a 4-players table)?

I would rather the VPs be more equitably distributed than the transfers.

I guess you have to balance your data.

Because going from 0.5 to 0.56 for the VP is no big deal but going from 0.93 to 0.31 for transfers is more important (IMO).

Last edit: 03 Nov 2014 13:23 by Timo.

Please Log in or Create an account to join the conversation.

03 Nov 2014 13:24 - 03 Nov 2014 13:25 #67174
by Ankha

Another thing is: would you like to play your 2 rounds on a 4 players table and have more transfers, or play a 5-players and a 4-players tables with "slightly" less transfers ("slightly" being the big unknown).

Replied by

*Ankha*on topic*Re: Optimal seatings changes*I'll do a test and keep only the best deviation for VPs (0.5) and see what we obtain as transfer deviation.

Question is: would you favor the transfers so they are more equitably distributed, or the VPs (ie: how many times you sit at a 4-players table)?

I would rather the VPs be more equitably distributed than the transfers.

I guess you have to balance your data.

Because going from 0.5 to 0.56 for the VP is no big deal but going from 0.93 to 0.31 for transfers is more important (IMO).

Another thing is: would you like to play your 2 rounds on a 4 players table and have more transfers, or play a 5-players and a 4-players tables with "slightly" less transfers ("slightly" being the big unknown).

Last edit: 03 Nov 2014 13:25 by Ankha.

Please Log in or Create an account to join the conversation.

Time to create page: 0.171 seconds

- You are here:
- Home
- Forum
- V:TES Discussion
- Generic V:TES Discussion
- Optimal seatings changes