Compute to fight crossgaming : A ready to make solution from the D(N)WC experience

By Jeremie Lefrancois


If you intend to run a diplomacy team tournament and do like algorithmic, just skip the core of the article and get to the conclusion – it might turn out to be useful for you.


Cross gaming. Such a rude word. More than once I have met this word to justify a game loss in team tournament context. “You are not allying with me ? You are cross gaming !!!”.

What is the problem ? Players feel they do not control their game any more. In face to face tournament, cross gaming comes in when ranking consideration take over local game considerations. In play on the web tournaments, when team considerations take over. “We cannot make that deal because my team captain has told me your team was the current top target”


Now suppose you organize a diplomacy team tournament. Who do you want to win ? The guy who blackmails you because he has photographs of your sister without any clothes ? The team with the best cross gaming organisation (usually the team captain is the brain of that) ? The team that shows the best sum of skills amongst the players ?


Let's suppose for now on the latter is the aim.


The Diplomacy (National) World Cup, when it started in September 2007, was designed so that all involved team could get something like a “flavour” of all the others. That was a choice (my choice). The 25 teams that showed up were divided into three subgroups, and each subgroup got, more or less :



This had in mind social considerations. There would be, on any game, on the average, two Americans, one French, one German speaking, one mother tongue English speaking, and one or two players with a different mother tongue language. Yet, the groups had 8 or 9 games, so the structure was something like this :


Game

E

F

G

I

A

R

T

AA

t1

t8

t7

t6

t5

t4

t3

BB

t2

t1

t8

t7

t6

t5

t4

CC

t3

t2

t1

t8

t7

t6

t5

DD

t4

t3

t2

t1

t8

t7

t6

EE

t5

t4

t3

t2

t1

t8

t7

FF

t6

t5

t4

t3

t2

t1

t8

GG

t7

t6

t5

t4

t3

t2

t1

HH

t8

t7

t6

t5

t4

t3

t2

T1, t2... being the reference of the different teams.


This is something you may not avoid in a structure with 8 teams. Any two given teams will meet more than often, and that is 6 times usually. Therefore many cross gaming deals will be struck.


So here comes the aim of the article : how to build a tournament structure where interaction between teams is lowered as much as possible ? In the given example, there should be a single tournament for the 25 teams, therefore an average team interaction at worst to 5 according to a sample made.


We define interaction between two teams as “how many times a player from both teams meet at a table”. We only measure the worst interaction, and cross gaming is only to occur when this figure is 2 or higher. We do not consider indirect cross gaming, i.e. three teams striking a deal : A helps B, B helps C and C helps A – that would be too hard to avoid (next article perhaps ?)


Ok. I have my teams, with, for every teams a list for E,F,G,I,A R and T. How should I build my games ?


Let's consider we try to put the players in this order : T1E, T1F, T1G, T1I, T1A, T1R, T1T, T2E, T2F, T2G, T2I, T2A, T2R, T2T and so on...


Here are the rules I suggest :


  1. If an empty team exists, put the player in the first found.

  2. If there are available positions, calculate, for every of them, the interference level it would cause. Put the player on the table that causes the lower interference. Note that, of course, a table where there is already sitting a team mate is taboo. Interference caused by sitting at a table is the sum of interferences it causes with all teams of players already sitting at the table.

  3. If there are no available position, find the first table with a team mate. We will now try to move the team mate to another table :

And then put the player at this table (after the move or the swap).


Once you have actually applied all these rules, you get a tournament organization, here referenced as the initial organization.


Since you are the kind never happy with your results an always willing to improve things, you may now consider doing a bit of optimization to lower the “worst interference”.


Here are the rules I suggest :


  1. Find the two teams who interact the most (the first found amongst those with equal same worse interaction).

  2. Find a game involving two players from these two teams, let's call them player1 and player2.

  3. Find another game where there are no team mates of these two players., and the player sharing same power with player1 is from no team already sitting at this table.

  4. Swap player1 with the equivalent on the other table.

Congratulations, you have managed to destroy one of the interferences (between two teams who had the most), so you have perhaps managed to lower the worst interference of your tournament organization.

So you should perform this as much as you like, until you are happy with the result. (say, for instance, you have eliminated the higher interferences from the initial random generation.


Seems a bit tedious ? Well, do not expect me to do all this stuff manually. I have quickly designed a 650 C language code program to do the trick. Below are results for tournaments from 10 to 35 teams. There is no point of studying below 10, since the structure exposed at the beginning of this article may not be avoided – just put the teams in line and do not try too much optimizing. I will suggest to use these tables for next D(N) WC,. Besides, if you have a team tournament to set up, feel free to use them … or not... 1. There is also a graph presenting the random result, the initial result and the optimized result, so that the interest (or lack of) may be judged. Optimization starts to be useful when the number of team reaches about 23. Question is : what level of worst interferences are you ready to accept ?


And, remember, DOWN WITH CROSSGAMING !!!





These are the compared results of the three methods explained in the document.



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10 (6) E F G I A R T

Table A : 7 3 5 1 6 8 2

Table B : 3 0 6 8 1 9 4

Table C : 4 7 0 9 3 1 5

Table D : 5 8 4 0 7 6 1

Table E : 2 9 7 6 0 4 8

Table F : 6 4 8 2 5 0 7

Table G : 8 5 9 7 2 3 0

Table H : 1 2 3 4 8 5 9

Table I : 9 1 2 3 4 7 6

Table J : 0 6 1 5 9 2 3

----

11 (5) E F G I A R T

Table A : 0 5 6 10 1 9 3

Table B : 4 0 10 6 7 1 8

Table C : 3 9 0 8 5 7 1

Table D : 2 3 8 0 6 5 7

Table E : 8 4 5 2 0 6 9

Table F : 9 10 7 4 2 0 5

Table G : 6 7 9 3 4 10 0

Table H : 1 2 3 9 8 4 6

Table I : 7 1 2 5 3 8 10

Table J : 10 6 1 7 9 2 4

Table K : 5 8 4 1 10 3 2

----

12 (5) E F G I A R T

Table A : 10 0 9 11 4 1 8

Table B : 8 7 5 6 10 11 1

Table C : 2 3 0 8 6 9 11

Table D : 9 4 3 0 7 6 5

Table E : 6 8 4 2 0 7 10

Table F : 11 10 7 5 2 0 4

Table G : 5 11 10 9 3 4 0

Table H : 1 2 6 3 5 10 9

Table I : 0 1 2 7 9 3 6

Table J : 7 5 1 10 8 2 3

Table K : 4 9 8 1 11 5 2

Table L : 3 6 11 4 1 8 7

----

13 (5) E F G I A R T

Table A : 0 10 12 5 6 7 1

Table B : 2 0 9 10 4 6 8

Table C : 5 3 0 2 8 9 12

Table D : 9 7 10 0 2 11 5

Table E : 6 4 3 9 0 10 11

Table F : 12 11 6 8 3 0 7

Table G : 8 5 4 7 11 12 0

Table H : 1 2 5 11 10 3 6

Table I : 7 1 2 6 12 8 3

Table J : 4 6 1 12 5 2 9

Table K : 10 8 11 1 7 4 2

Table L : 3 9 8 4 1 5 10

Table M : 11 12 7 3 9 1 4

----

14 (5) E F G I A R T

Table A : 9 3 11 2 7 12 8

Table B : 2 1 13 6 8 9 10

Table C : 0 13 1 5 2 10 12

Table D : 11 5 3 0 4 6 9

Table E : 10 7 12 8 0 3 5

Table F : 6 12 7 13 5 0 3

Table G : 4 8 5 11 9 7 0

Table H : 1 2 10 7 6 4 13

Table I : 13 0 2 4 10 11 6

Table J : 7 4 0 9 12 2 11

Table K : 12 6 8 1 11 5 2

Table L : 3 9 4 12 1 13 7

Table M : 8 10 6 3 13 1 4

Table N : 5 11 9 10 3 8 1

----

15 (5) E F G I A R T

Table A : 0 11 3 12 4 7 10

Table B : 10 0 11 5 2 6 8

Table C : 9 6 0 8 11 2 13

Table D : 11 8 1 0 10 14 4

Table E : 5 2 12 3 0 9 6

Table F : 7 12 13 14 5 0 3

Table G : 4 7 6 9 13 12 0

Table H : 1 4 2 10 9 11 12

Table I : 13 1 7 2 8 5 11

Table J : 12 5 8 6 14 10 2

Table K : 3 13 4 1 6 8 14

Table L : 14 9 5 11 1 4 7

Table M : 8 14 9 13 3 1 5

Table N : 6 10 14 7 12 3 1

Table O : 2 3 10 4 7 13 9

----

16 (4) E F G I A R T

Table A : 1 0 2 10 12 13 14

Table B : 14 9 10 11 5 2 7

Table C : 8 4 0 6 11 14 2

Table D : 13 5 11 0 14 15 6

Table E : 7 15 4 12 0 8 5

Table F : 6 7 12 13 3 0 9

Table G : 10 14 9 8 13 3 0

Table H : 0 3 7 2 10 9 15

Table I : 15 1 13 7 2 6 11

Table J : 12 8 1 14 15 5 3

Table K : 4 12 3 1 9 11 10

Table L : 11 6 8 4 1 10 12

Table M : 3 10 5 15 6 1 8

Table N : 9 11 14 5 7 4 1

Table O : 2 13 15 3 8 7 4

Table P : 5 2 6 9 4 12 13

----

17 (4) E F G I A R T

Table A : 10 6 5 2 15 12 9

Table B : 0 12 14 8 6 16 2

Table C : 3 11 0 12 5 14 8

Table D : 9 7 16 0 3 6 14

Table E : 14 13 11 10 0 3 7

Table F : 8 15 4 13 7 0 11

Table G : 12 9 15 4 10 5 0

Table H : 1 3 12 14 2 7 15

Table I : 15 1 9 11 14 2 5

Table J : 6 8 1 9 11 13 3

Table K : 4 10 3 1 16 9 12

Table L : 13 0 6 15 1 10 4

Table M : 5 14 13 16 4 1 6

Table N : 7 16 10 5 8 11 1

Table O : 2 5 8 3 13 15 10

Table P : 11 2 7 6 12 4 16

Table Q : 16 4 2 7 9 8 13

----

18 (5) E F G I A R T

Table A : 0 11 14 7 2 8 15

Table B : 10 0 3 17 11 6 8

Table C : 9 4 0 3 16 12 13

Table D : 14 16 15 0 4 10 6

Table E : 7 13 17 5 0 11 4

Table F : 5 15 6 12 17 0 7

Table G : 8 17 12 10 9 5 0

Table H : 1 5 9 13 14 2 11

Table I : 12 1 10 15 13 7 2

Table J : 3 7 1 11 15 9 14

Table K : 15 14 5 1 3 13 10

Table L : 11 10 4 16 1 17 5

Table M : 6 8 13 4 12 1 17

Table N : 16 9 7 6 8 14 1

Table O : 2 3 8 14 7 4 16

Table P : 17 2 16 8 5 3 12

Table Q : 13 6 2 9 10 16 3

Table R : 4 12 11 2 6 15 9

----

19 (4) E F G I A R T

Table A : 13 17 18 10 7 2 12

Table B : 11 10 3 17 8 7 18

Table C : 1 7 0 3 10 12 17

Table D : 18 6 9 0 4 8 13

Table E : 14 15 16 11 0 6 4

Table F : 5 16 12 9 17 0 6

Table G : 7 14 8 13 5 16 0

Table H : 0 5 15 8 13 11 2

Table I : 3 1 5 15 12 17 8

Table J : 9 4 1 12 3 14 15

Table K : 16 0 4 1 9 13 7

Table L : 8 18 14 4 1 10 16

Table M : 17 13 6 7 15 1 11

Table N : 12 11 10 6 18 5 1

Table O : 2 3 11 14 16 9 5

Table P : 6 2 13 18 14 3 9

Table Q : 10 8 2 16 6 15 3

Table R : 4 12 7 2 11 18 14

Table S : 15 9 17 5 2 4 10

----

20 (4) E F G I A R T

Table A : 0 5 14 18 3 16 2

Table B : 3 0 7 15 12 18 11

Table C : 15 11 0 19 8 10 14

Table D : 12 16 4 0 9 6 17

Table E : 6 19 10 4 0 8 13

Table F : 14 8 16 7 17 0 5

Table G : 9 13 18 11 15 5 0

Table H : 1 3 8 16 13 9 12

Table I : 13 1 12 8 18 3 10

Table J : 11 6 1 10 16 17 3

Table K : 4 12 5 1 19 11 16

Table L : 17 14 19 5 1 13 6

Table M : 7 9 11 14 4 1 18

Table N : 18 10 15 6 7 19 1

Table O : 2 4 3 17 11 7 19

Table P : 19 2 9 3 6 14 15

Table Q : 16 17 2 13 10 4 7

Table R : 8 15 6 2 14 12 4

Table S : 5 7 13 12 2 15 9

Table T : 10 18 17 9 5 2 8

----

21 (4) E F G I A R T

Table A : 0 5 8 14 3 17 18

Table B : 3 0 15 11 10 6 20

Table C : 19 10 0 18 16 5 6

Table D : 7 14 20 0 11 19 15

Table E : 16 18 13 4 0 12 8

Table F : 9 12 4 8 15 0 5

Table G : 6 17 19 13 7 9 0

Table H : 1 3 12 17 18 7 13

Table I : 14 1 10 9 17 3 12

Table J : 13 6 1 19 20 8 3

Table K : 4 20 5 1 13 10 14

Table L : 15 7 16 5 1 20 10

Table M : 11 9 18 16 4 1 7

Table N : 8 11 17 12 6 15 1

Table O : 2 4 3 15 9 16 19

Table P : 20 2 7 3 12 11 16

Table Q : 17 8 2 10 19 4 11

Table R : 12 15 6 2 14 18 4

Table S : 5 16 9 6 2 14 17

Table T : 18 13 11 20 5 2 9

Table U : 10 19 14 7 8 13 2

----

22 (4) E F G I A R T

Table A : 0 21 6 15 19 10 13

Table B : 5 0 17 11 18 3 14

Table C : 14 12 0 6 5 19 20

Table D : 15 14 4 0 21 9 7

Table E : 8 10 7 4 0 20 17

Table F : 18 16 19 7 11 0 8

Table G : 9 13 21 8 12 17 0

Table H : 1 9 3 19 7 13 21

Table I : 21 1 10 14 8 18 3

Table J : 4 5 1 17 13 15 18

Table K : 19 15 12 1 4 11 10

Table L : 11 8 13 21 1 5 6

Table M : 7 20 16 12 17 1 5

Table N : 6 18 20 10 9 16 1

Table O : 2 4 18 3 20 12 11

Table P : 12 2 8 16 3 14 15

Table Q : 16 6 2 13 14 4 19

Table R : 20 19 5 2 15 8 9

Table S : 10 3 9 5 2 21 16

Table T : 17 7 15 18 6 2 12

Table U : 13 11 14 20 10 7 2

Table V : 3 17 11 9 16 6 4

----

23 (4) E F G I A R T

Table A : 0 7 3 14 20 9 8

Table B : 6 0 11 17 18 13 3

Table C : 4 22 0 21 17 12 9

Table D : 9 19 7 3 15 4 18

Table E : 10 15 16 5 0 18 11

Table F : 12 20 19 10 6 0 15

Table G : 16 21 8 13 7 19 0

Table H : 1 4 18 0 12 22 13

Table I : 14 1 20 11 10 21 4

Table J : 5 6 1 19 13 14 12

Table K : 13 17 21 1 5 15 10

Table L : 11 9 5 16 1 6 22

Table M : 19 10 9 8 16 1 17

Table N : 18 12 15 20 8 7 1

Table O : 2 5 12 9 3 16 20

Table P : 21 2 10 22 19 3 7

Table Q : 8 11 2 12 21 5 19

Table R : 20 13 4 2 11 8 16

Table S : 17 16 6 4 2 20 14

Table T : 15 14 13 6 9 2 21

Table U : 22 18 17 7 14 10 2

Table V : 3 8 22 15 4 17 6

Table W : 7 3 14 18 22 11 5

----

24 (3) E F G I A R T

Table A : 0 7 13 3 12 23 20

Table B : 11 5 4 17 8 18 21

Table C : 21 8 2 13 11 14 17

Table D : 18 2 6 0 20 5 16

Table E : 17 10 9 6 0 15 18

Table F : 19 15 10 20 7 0 13

Table G : 14 21 12 22 9 16 0

Table H : 1 11 15 21 3 7 22

Table I : 22 1 5 4 10 12 19

Table J : 20 18 1 9 4 13 15

Table K : 16 19 11 1 23 9 5

Table L : 6 16 8 15 1 20 12

Table M : 13 14 22 10 6 1 11

Table N : 12 17 7 8 19 21 1

Table O : 2 6 21 19 13 3 9

Table P : 10 0 18 23 16 8 3

Table Q : 4 12 0 11 15 6 23

Table R : 23 13 16 2 21 4 7

Table S : 8 20 23 5 2 10 14

Table T : 15 23 14 18 5 2 8

Table U : 9 22 20 7 17 11 2

Table V : 3 4 17 16 14 19 6

Table W : 7 3 19 14 18 22 4

Table X : 5 9 3 12 22 17 10

----

25 (4) E F G I A R T

Table A : 6 0 16 21 3 20 12

Table B : 10 5 4 19 13 22 8

Table C : 9 8 18 16 14 15 24

Table D : 13 7 17 0 19 23 5

Table E : 24 15 20 9 0 21 13

Table F : 14 22 12 24 6 0 10

Table G : 11 18 21 22 7 24 0

Table H : 1 6 0 13 17 3 21

Table I : 22 1 5 4 16 18 20

Table J : 21 9 1 12 4 17 22

Table K : 23 10 7 1 15 6 16

Table L : 17 14 8 20 1 7 18

Table M : 19 11 22 8 9 1 15

Table N : 16 13 23 10 11 14 1

Table O : 2 16 9 17 24 11 3

Table P : 4 2 6 18 8 16 14

Table Q : 15 17 2 23 10 4 11

Table R : 12 23 13 2 18 9 7

Table S : 8 21 14 5 2 13 23

Table T : 0 24 11 6 5 2 19

Table U : 20 19 24 7 12 10 2

Table V : 3 4 19 11 20 12 6

Table W : 7 3 15 14 21 19 4

Table X : 5 12 3 15 22 8 17

Table Y : 18 20 10 3 23 5 9

----

26 (3) E F G I A R T

Table A : 0 1 11 23 18 3 16

Table B : 17 0 9 4 23 19 15

Table C : 16 6 0 11 4 22 24

Table D : 21 10 5 0 14 25 19

Table E : 20 19 12 25 0 7 6

Table F : 7 14 25 8 15 0 21

Table G : 22 20 18 13 8 10 0

Table H : 1 7 19 16 24 14 3

Table I : 4 12 10 18 25 17 7

Table J : 8 21 1 12 11 4 22

Table K : 23 24 6 1 20 15 10

Table L : 11 17 14 5 1 20 25

Table M : 25 16 15 9 5 1 12

Table N : 13 25 24 19 9 8 1

Table O : 2 4 7 22 13 16 14

Table P : 15 2 20 14 12 18 4

Table Q : 5 8 2 6 22 23 17

Table R : 18 23 16 2 19 5 8

Table S : 9 11 21 7 2 24 18

Table T : 19 13 17 10 6 2 11

Table U : 12 22 23 21 10 9 2

Table V : 3 5 4 20 21 13 23

Table W : 24 3 13 17 7 12 5

Table X : 6 9 3 15 16 21 13

Table Y : 14 18 22 3 17 6 9

Table Z : 10 15 8 24 3 11 20

----

27 (3) E F G I A R T

Table AA : 0 24 25 16 11 17 3

Table AB : 4 0 9 21 23 16 7

Table AC : 8 7 0 20 15 4 23

Table AD : 17 10 26 0 12 20 25

Table AE : 24 15 18 5 0 19 10

Table AF : 11 25 6 9 5 0 13

Table AG : 14 26 12 19 8 13 0

Table AH : 1 4 10 22 9 24 18

Table AI : 19 1 13 12 20 11 4

Table AJ : 5 8 1 6 16 21 24

Table AK : 25 14 20 1 17 5 21

Table AL : 22 11 7 25 1 12 15

Table AM : 16 23 15 13 6 1 26

Table AN : 26 17 23 18 14 8 1

Table AO : 2 5 4 15 21 26 12

Table AP : 13 2 24 10 19 22 5

Table AQ : 6 19 2 7 10 23 17

Table AR : 18 21 11 2 26 6 8

Table AS : 9 22 8 17 2 15 19

Table AT : 20 16 14 24 7 2 11

Table AU : 12 18 16 23 25 9 2

Table AV : 3 6 19 4 18 14 22

Table AW : 23 3 21 11 4 10 14

Table AX : 15 9 3 14 24 25 6

Table AY : 7 12 5 3 22 18 20

Table AZ : 21 13 17 26 3 7 9

Table BA : 10 20 22 8 13 3 16

----

28 (3) E F G I A R T

Table AA : 0 7 10 19 24 4 17

Table AB : 4 0 16 15 22 23 10

Table AC : 11 12 0 5 14 24 22

Table AD : 18 15 6 0 5 14 25

Table AE : 23 21 27 18 0 8 7

Table AF : 8 17 13 9 16 0 27

Table AG : 26 25 20 22 9 12 0

Table AH : 1 4 22 24 15 13 8

Table AI : 9 1 21 20 11 27 4

Table AJ : 5 8 1 27 17 16 20

Table AK : 21 16 26 1 19 5 12

Table AL : 13 11 7 6 1 22 18

Table AM : 19 23 12 25 6 1 13

Table AN : 14 26 23 10 18 9 1

Table AO : 2 5 4 13 27 18 9

Table AP : 10 2 25 21 13 17 5

Table AQ : 6 9 2 26 21 15 19

Table AR : 20 14 8 2 26 6 24

Table AS : 25 19 14 7 2 11 16

Table AT : 17 27 15 12 7 2 23

Table AU : 24 18 11 16 10 20 2

Table AV : 3 6 17 4 23 21 11

Table AW : 12 3 18 8 4 25 21

Table AX : 22 10 3 17 20 19 6

Table AY : 7 20 5 3 25 26 15

Table AZ : 16 22 9 23 3 7 14

Table BA : 15 24 19 11 8 3 26

Table BB : 27 13 24 14 12 10 3

----

29 (3) E F G I A R T

Table AA : 0 4 8 18 15 23 19

Table AB : 10 0 16 25 28 13 4

Table AC : 5 21 0 14 17 6 23

Table AD : 20 25 11 0 10 22 5

Table AE : 6 9 19 24 0 26 16

Table AF : 17 28 12 7 14 0 21

Table AG : 22 24 23 13 7 15 0

Table AH : 1 5 4 28 20 14 15

Table AI : 16 1 15 8 25 17 6

Table AJ : 7 6 1 19 18 25 13

Table AK : 14 10 9 1 24 7 27

Table AL : 24 22 18 21 1 10 12

Table AM : 13 17 27 11 8 1 22

Table AN : 23 26 20 12 11 16 1

Table AO : 2 13 6 4 27 20 17

Table AP : 18 2 5 16 23 27 7

Table AQ : 8 7 2 20 12 24 25

Table AR : 26 19 10 2 21 8 14

Table AS : 15 23 17 9 2 18 10

Table AT : 11 16 21 27 9 2 28

Table AU : 28 14 22 15 19 11 2

Table AV : 3 11 7 17 4 19 26

Table AW : 27 3 14 22 16 4 8

Table AX : 9 8 3 5 26 28 18

Table AY : 19 15 13 3 5 12 24

Table AZ : 25 18 24 6 3 21 11

Table BA : 12 27 26 10 6 3 20

Table BB : 21 20 28 23 13 9 3

Table BC : 4 12 25 26 22 5 9

----

30 (3) E F G I A R T

Table AA : 0 6 4 24 26 29 15

Table AB : 7 0 5 29 16 13 25

Table AC : 13 22 0 8 15 7 20

Table AD : 21 12 9 0 8 20 28

Table AE : 26 18 19 14 0 27 9

Table AF : 10 25 17 11 27 0 12

Table AG : 16 28 25 19 21 10 0

Table AH : 1 7 21 4 17 14 18

Table AI : 19 1 6 5 23 21 22

Table AJ : 23 10 1 9 24 28 7

Table AK : 8 20 27 1 19 26 10

Table AL : 11 13 28 18 1 8 16

Table AM : 17 27 22 15 9 1 13

Table AN : 14 16 12 22 11 24 1

Table AO : 2 8 10 26 4 17 23

Table AP : 24 2 13 20 5 9 26

Table AQ : 27 11 2 21 20 5 14

Table AR : 15 19 7 2 25 11 24

Table AS : 25 14 29 6 2 22 8

Table AT : 9 29 16 17 6 2 27

Table AU : 28 23 18 12 29 15 2

Table AV : 3 9 11 23 22 4 21

Table AW : 22 3 14 13 28 19 4

Table AX : 5 15 3 10 14 18 29

Table AY : 29 17 8 3 18 25 5

Table AZ : 6 26 20 7 3 23 11

Table BA : 12 24 26 25 7 3 17

Table BB : 18 21 24 16 10 6 3

Table BC : 4 5 23 27 12 16 19

Table BD : 20 4 15 28 13 12 6

----

31 (3) E F G I A R T

Table AA : 0 7 22 4 25 28 15

Table AB : 16 0 5 26 20 12 17

Table AC : 18 8 0 10 24 25 14

Table AD : 15 12 6 0 10 24 26

Table AE : 19 20 11 22 0 21 8

Table AF : 9 30 13 17 23 0 25

Table AG : 26 27 14 21 16 9 0

Table AH : 1 9 25 27 4 18 20

Table AI : 21 1 7 5 15 26 23

Table AJ : 24 16 1 6 13 20 29

Table AK : 27 15 8 1 19 13 28

Table AL : 29 22 28 11 1 10 9

Table AM : 10 19 26 14 17 1 22

Table AN : 23 18 12 30 11 16 1

Table AO : 2 10 16 28 21 4 30

Table AP : 30 2 9 8 5 23 24

Table AQ : 25 28 2 19 6 5 16

Table AR : 17 21 27 2 22 6 12

Table AS : 13 23 20 7 2 27 10

Table AT : 11 26 29 18 7 2 13

Table AU : 14 24 15 25 30 11 2

Table AV : 3 11 23 15 27 17 4

Table AW : 5 3 10 29 18 19 21

Table AX : 22 13 3 12 14 30 5

Table AY : 6 14 30 3 28 7 19

Table AZ : 20 29 18 9 3 15 6

Table BA : 7 17 24 16 8 3 27

Table BB : 28 25 21 23 12 8 3

Table BC : 4 5 17 20 29 14 11

Table BD : 12 4 19 24 9 29 7

Table BE : 8 6 4 13 26 22 18

----

32 (3) E F G I A R T

Table AA : 0 14 10 16 4 24 20

Table AB : 21 0 8 5 19 15 30

Table AC : 27 31 0 6 17 23 25

Table AD : 26 18 9 0 16 30 10

Table AE : 11 19 13 7 0 28 29

Table AF : 30 22 29 12 23 0 14

Table AG : 15 25 27 20 12 11 0

Table AH : 1 11 18 28 25 4 15

Table AI : 16 1 14 27 5 31 11

Table AJ : 12 26 1 13 6 5 19

Table AK : 20 15 30 1 7 6 24

Table AL : 25 21 31 8 1 7 18

Table AM : 19 27 22 9 8 1 23

Table AN : 24 23 17 10 28 12 1

Table AO : 2 12 19 29 20 16 4

Table AP : 5 2 23 18 24 26 7

Table AQ : 8 20 2 17 26 27 5

Table AR : 6 30 11 2 10 8 31

Table AS : 31 16 21 22 2 17 6

Table AT : 7 28 25 30 9 2 12

Table AU : 13 24 15 14 29 9 2

Table AV : 3 5 24 11 22 25 17

Table AW : 18 3 12 31 14 21 8

Table AX : 9 6 3 19 18 20 28

Table AY : 29 7 16 3 27 10 22

Table AZ : 23 8 28 15 3 13 16

Table BA : 17 29 26 21 11 3 9

Table BB : 10 13 20 25 30 14 3

Table BC : 4 9 5 23 15 29 21

Table BD : 22 4 6 24 13 18 27

Table BE : 28 10 4 26 21 22 13

Table BF : 14 17 7 4 31 19 26

----

33 (3) E F G I A R T

Table AA : 0 20 14 9 31 4 24

Table AB : 18 0 15 27 5 14 25

Table AC : 25 12 0 29 6 5 23

Table AD : 24 16 19 0 7 6 21

Table AE : 22 13 32 10 0 7 26

Table AF : 26 23 11 28 8 0 20

Table AG : 21 30 17 32 9 8 0

Table AH : 1 18 25 19 28 13 4

Table AI : 5 1 23 31 19 9 7

Table AJ : 8 22 1 30 16 24 5

Table AK : 6 28 20 1 15 29 8

Table AL : 9 32 22 11 1 18 6

Table AM : 7 21 26 14 25 1 27

Table AN : 27 24 12 20 10 17 1

Table AO : 2 5 13 17 27 19 29

Table AP : 28 2 16 25 32 10 9

Table AQ : 10 6 2 21 14 26 30

Table AR : 30 7 29 2 20 15 18

Table AS : 19 8 18 12 2 31 32

Table AT : 31 9 24 15 26 2 13

Table AU : 14 27 30 23 11 16 2

Table AV : 3 10 5 18 23 28 16

Table AW : 17 3 6 24 18 23 14

Table AX : 15 19 3 26 30 11 10

Table AY : 11 25 7 3 17 20 31

Table AZ : 32 14 8 13 3 22 28

Table BA : 29 26 9 22 12 3 19

Table BB : 20 31 21 16 13 12 3

Table BC : 4 11 28 5 21 30 12

Table BD : 13 4 27 6 29 32 11

Table BE : 12 15 4 7 24 27 22

Table BF : 23 17 10 4 22 21 15

Table BG : 16 29 31 8 4 25 17

----

34 (3) E F G I A R T

Table AA : 0 31 29 17 16 15 4

Table AB : 5 0 19 31 26 9 7

Table AC : 8 32 0 18 22 30 5

Table AD : 6 33 20 0 27 16 8

Table AE : 9 22 21 24 0 23 6

Table AF : 7 13 26 33 10 0 30

Table AG : 14 25 27 28 11 10 0

Table AH : 1 5 15 21 14 27 33

Table AI : 31 1 13 20 33 11 9

Table AJ : 10 6 1 12 21 26 28

Table AK : 29 7 22 1 20 28 16

Table AL : 17 8 32 26 1 14 23

Table AM : 24 9 25 15 29 1 10

Table AN : 11 30 16 19 18 25 1

Table AO : 2 10 5 16 32 22 27

Table AP : 28 2 6 23 15 18 20

Table AQ : 21 11 2 32 19 20 17

Table AR : 18 14 7 2 31 21 25

Table AS : 26 24 8 27 2 29 11

Table AT : 12 17 9 30 28 2 22

Table AU : 23 29 30 13 12 19 2

Table AV : 3 12 11 5 23 31 18

Table AW : 19 3 14 6 13 32 26

Table AX : 27 28 3 7 17 24 19

Table AY : 20 18 10 3 24 17 29

Table AZ : 30 21 28 8 3 13 15

Table BA : 16 23 33 9 30 3 14

Table BB : 15 26 31 22 25 12 3

Table BC : 4 20 24 14 5 33 12

Table BD : 13 4 17 25 6 5 32

Table BE : 33 15 4 11 7 6 24

Table BF : 25 16 12 4 8 7 21

Table BG : 22 19 23 10 4 8 31

Table BH : 32 27 18 29 9 4 13

----

35 (3) E F G I A R T

Table AA : 0 26 14 20 32 10 5

Table AB : 5 0 27 29 28 18 7

Table AC : 6 23 0 12 31 33 9

Table AD : 8 24 13 0 30 34 6

Table AE : 7 30 31 26 0 16 15

Table AF : 10 21 15 25 33 0 8

Table AG : 9 34 22 31 11 19 0

Table AH : 1 5 24 15 26 29 18

Table AI : 16 1 23 28 34 11 10

Table AJ : 11 6 1 14 25 27 33

Table AK : 19 7 21 1 20 30 28

Table AL : 29 8 32 33 1 17 16

Table AM : 17 9 26 13 27 1 21

Table AN : 22 10 18 32 12 24 1

Table AO : 2 11 5 23 15 32 19

Table AP : 20 2 6 24 29 12 17

Table AQ : 18 17 2 21 14 15 11

Table AR : 12 16 7 2 13 31 27

Table AS : 28 19 8 27 2 14 24

Table AT : 25 33 9 18 16 2 30

Table AU : 31 29 10 22 21 13 2

Table AV : 3 12 17 5 19 25 34

Table AW : 34 3 19 6 18 26 13

Table AX : 14 25 3 7 23 21 12

Table AY : 13 20 11 3 24 28 31

Table AZ : 32 22 16 8 3 20 14

Table BA : 15 28 34 9 22 3 26

Table BB : 27 31 30 10 17 23 3

Table BC : 4 13 25 30 5 22 20

Table BD : 21 4 28 16 6 5 32

Table BE : 33 15 4 17 7 6 22

Table BF : 23 18 20 4 8 7 25

Table BG : 26 27 12 11 4 8 29

Table BH : 30 14 29 34 9 4 23

Table BI : 24 32 33 19 10 9 4

1If you are planning to run a team tournament with more team contact me, I am sure www.stabbeurfou.org may run it for you...hehe