Sample Scoring

Each player is represented by a letter from A to X. Each group of four letters represents the players that are seated at a table for a single game. Each line represents a game.

Here is a seating arrangement:

AEKM DFJX GINT BLRV HPCW OQSU
PQBC AFOT DELW GJRU IMSX HKNV
DMTU GKPX AHLQ BNFW JOCV IRES
APIV EGCU DKOR BHTX FNLS JMQW
BGLO CNRX EJPT FMQV DHIU AKSW
ADGV BKJS FRPU HIOW ENQX CLMT
BMHR DPSV CFIK AJNU GQTW ELOX
UVWX IJKL MNOP EFGH ABCD QRST

Here is a table which illustrates the seating repetitions. This seating arrangement has 33 "bad seatings". You might notice that player F and player O are as close to perfect as they can be. They play with every other player.

Seating Repetitions
A B C D E F G H I J K L M N O P Q R S T U V W X

A 1 1 2 1 1 1 1 1 1 2 1 1 1 1 1 1 0 1 1 1 2 1 0

B 1 2 1 0 1 1 2 0 1 1 2 1 1 1 1 1 2 1 1 0 1 1 1

C 1 2 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 0 1 1 1 1 1

D 2 1 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 1 1 2 2 1 1

E 1 0 1 1 1 2 1 1 1 1 2 1 1 1 1 1 1 1 1 1 0 1 2

F 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1

G 1 1 1 1 2 1 1 1 1 1 1 0 1 1 1 1 1 0 2 2 1 1 1

H 1 2 1 1 1 1 1 2 0 1 1 1 1 1 1 1 1 0 1 1 1 2 1

I 1 0 1 1 1 1 1 2 1 2 1 1 1 1 1 0 1 2 1 1 1 1 1

J 1 1 1 1 1 1 1 0 1 2 1 1 1 1 1 1 1 1 1 2 1 1 1

K 2 1 1 1 1 1 1 1 2 2 1 1 1 1 1 0 1 2 0 0 1 1 1

L 1 2 1 1 2 1 1 1 1 1 1 1 1 2 0 1 1 1 1 0 1 1 1

M 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 2 1 1 2 1 1 1 1

N 1 1 1 0 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2

O 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1

P 1 1 2 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 2 1 1

Q 1 1 1 0 1 1 1 1 0 1 0 1 2 1 1 1 1 2 2 1 1 2 1

R 0 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 2 1 0 1

S 1 1 0 1 1 1 0 0 2 1 2 1 1 1 1 1 2 2 1 1 1 1 1

T 1 1 1 1 1 1 2 1 1 1 0 1 2 1 1 1 2 1 1 1 0 1 1

U 1 0 1 2 1 1 2 1 1 2 0 0 1 1 1 1 1 2 1 1 1 1 1

V 2 1 1 2 0 1 1 1 1 1 1 1 1 1 1 2 1 1 1 0 1 1 1

W 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 0 1 1 1 1 1

X 0 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1

There is also another table which I have used in some of my implementations to try to eliminate the undesirable effect of sitting at the same table for each of the six games.

Table Repetitions
A B C D E F G H I J K L M N O P Q R S T U V W X

1 3 3 1 2 1 0 2 1 1 0 1 1 3 0 1 2 1 1 0 1 2 3 1 1

2 1 1 2 2 1 2 2 0 1 3 3 1 0 1 1 2 0 1 2 1 1 1 0 3

3 1 0 1 2 2 2 1 1 2 1 2 2 1 2 2 3 1 2 0 2 1 0 1 0

4 1 3 0 0 1 3 2 3 1 2 0 1 1 2 1 0 1 2 0 1 2 2 2 1

5 1 1 3 2 1 1 1 2 2 1 0 1 1 2 1 1 2 0 2 1 1 1 2 2

6 1 0 1 0 2 0 0 1 1 1 2 2 2 1 2 0 3 2 4 2 1 1 2 1

Paul Chamberlain
tif@tifster.com

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	V	W	X
A		1	1	2	1	1	1	1	1	1	2	1	1	1	1	1	1	0	1	1	1	2	1	0
B	1		2	1	0	1	1	2	0	1	1	2	1	1	1	1	1	2	1	1	0	1	1	1
C	1	2		1	1	1	1	1	1	1	1	1	1	1	1	2	1	1	0	1	1	1	1	1
D	2	1	1		1	1	1	1	1	1	1	1	1	0	1	1	0	1	1	1	2	2	1	1
E	1	0	1	1		1	2	1	1	1	1	2	1	1	1	1	1	1	1	1	1	0	1	2
F	1	1	1	1	1		1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	1	1
G	1	1	1	1	2	1		1	1	1	1	1	0	1	1	1	1	1	0	2	2	1	1	1
H	1	2	1	1	1	1	1		2	0	1	1	1	1	1	1	1	1	0	1	1	1	2	1
I	1	0	1	1	1	1	1	2		1	2	1	1	1	1	1	0	1	2	1	1	1	1	1
J	1	1	1	1	1	1	1	0	1		2	1	1	1	1	1	1	1	1	1	2	1	1	1
K	2	1	1	1	1	1	1	1	2	2		1	1	1	1	1	0	1	2	0	0	1	1	1
L	1	2	1	1	2	1	1	1	1	1	1		1	1	2	0	1	1	1	1	0	1	1	1
M	1	1	1	1	1	1	0	1	1	1	1	1		1	1	1	2	1	1	2	1	1	1	1
N	1	1	1	0	1	2	1	1	1	1	1	1	1		1	1	1	1	1	1	1	1	1	2
O	1	1	1	1	1	1	1	1	1	1	1	2	1	1		1	1	1	1	1	1	1	1	1
P	1	1	2	1	1	1	1	1	1	1	1	0	1	1	1		1	1	1	1	1	2	1	1
Q	1	1	1	0	1	1	1	1	0	1	0	1	2	1	1	1		1	2	2	1	1	2	1
R	0	2	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1		2	1	2	1	0	1
S	1	1	0	1	1	1	0	0	2	1	2	1	1	1	1	1	2	2		1	1	1	1	1
T	1	1	1	1	1	1	2	1	1	1	0	1	2	1	1	1	2	1	1		1	0	1	1
U	1	0	1	2	1	1	2	1	1	2	0	0	1	1	1	1	1	2	1	1		1	1	1
V	2	1	1	2	0	1	1	1	1	1	1	1	1	1	1	2	1	1	1	0	1		1	1
W	1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	2	0	1	1	1	1		1
X	0	1	1	1	2	1	1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	1

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	V	W	X
1	3	3	1	2	1	0	2	1	1	0	1	1	3	0	1	2	1	1	0	1	2	3	1	1
2	1	1	2	2	1	2	2	0	1	3	3	1	0	1	1	2	0	1	2	1	1	1	0	3
3	1	0	1	2	2	2	1	1	2	1	2	2	1	2	2	3	1	2	0	2	1	0	1	0
4	1	3	0	0	1	3	2	3	1	2	0	1	1	2	1	0	1	2	0	1	2	2	2	1
5	1	1	3	2	1	1	1	2	2	1	0	1	1	2	1	1	2	0	2	1	1	1	2	2
6	1	0	1	0	2	0	0	1	1	1	2	2	2	1	2	0	3	2	4	2	1	1	2	1

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	V	W	X
A		1	1	2	1	1	1	1	1	1	2	1	1	1	1	1	1	0	1	1	1	2	1	0
B	1		2	1	0	1	1	2	0	1	1	2	1	1	1	1	1	2	1	1	0	1	1	1
C	1	2		1	1	1	1	1	1	1	1	1	1	1	1	2	1	1	0	1	1	1	1	1
D	2	1	1		1	1	1	1	1	1	1	1	1	0	1	1	0	1	1	1	2	2	1	1
E	1	0	1	1		1	2	1	1	1	1	2	1	1	1	1	1	1	1	1	1	0	1	2
F	1	1	1	1	1		1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	1	1
G	1	1	1	1	2	1		1	1	1	1	1	0	1	1	1	1	1	0	2	2	1	1	1
H	1	2	1	1	1	1	1		2	0	1	1	1	1	1	1	1	1	0	1	1	1	2	1
I	1	0	1	1	1	1	1	2		1	2	1	1	1	1	1	0	1	2	1	1	1	1	1
J	1	1	1	1	1	1	1	0	1		2	1	1	1	1	1	1	1	1	1	2	1	1	1
K	2	1	1	1	1	1	1	1	2	2		1	1	1	1	1	0	1	2	0	0	1	1	1
L	1	2	1	1	2	1	1	1	1	1	1		1	1	2	0	1	1	1	1	0	1	1	1
M	1	1	1	1	1	1	0	1	1	1	1	1		1	1	1	2	1	1	2	1	1	1	1
N	1	1	1	0	1	2	1	1	1	1	1	1	1		1	1	1	1	1	1	1	1	1	2
O	1	1	1	1	1	1	1	1	1	1	1	2	1	1		1	1	1	1	1	1	1	1	1
P	1	1	2	1	1	1	1	1	1	1	1	0	1	1	1		1	1	1	1	1	2	1	1
Q	1	1	1	0	1	1	1	1	0	1	0	1	2	1	1	1		1	2	2	1	1	2	1
R	0	2	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1		2	1	2	1	0	1
S	1	1	0	1	1	1	0	0	2	1	2	1	1	1	1	1	2	2		1	1	1	1	1
T	1	1	1	1	1	1	2	1	1	1	0	1	2	1	1	1	2	1	1		1	0	1	1
U	1	0	1	2	1	1	2	1	1	2	0	0	1	1	1	1	1	2	1	1		1	1	1
V	2	1	1	2	0	1	1	1	1	1	1	1	1	1	1	2	1	1	1	0	1		1	1
W	1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	2	0	1	1	1	1		1
X	0	1	1	1	2	1	1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	1

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	V	W	X
1	3	3	1	2	1	0	2	1	1	0	1	1	3	0	1	2	1	1	0	1	2	3	1	1
2	1	1	2	2	1	2	2	0	1	3	3	1	0	1	1	2	0	1	2	1	1	1	0	3
3	1	0	1	2	2	2	1	1	2	1	2	2	1	2	2	3	1	2	0	2	1	0	1	0
4	1	3	0	0	1	3	2	3	1	2	0	1	1	2	1	0	1	2	0	1	2	2	2	1
5	1	1	3	2	1	1	1	2	2	1	0	1	1	2	1	1	2	0	2	1	1	1	2	2
6	1	0	1	0	2	0	0	1	1	1	2	2	2	1	2	0	3	2	4	2	1	1	2	1

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	V	W	X
A		1	1	2	1	1	1	1	1	1	2	1	1	1	1	1	1	0	1	1	1	2	1	0
B	1		2	1	0	1	1	2	0	1	1	2	1	1	1	1	1	2	1	1	0	1	1	1
C	1	2		1	1	1	1	1	1	1	1	1	1	1	1	2	1	1	0	1	1	1	1	1
D	2	1	1		1	1	1	1	1	1	1	1	1	0	1	1	0	1	1	1	2	2	1	1
E	1	0	1	1		1	2	1	1	1	1	2	1	1	1	1	1	1	1	1	1	0	1	2
F	1	1	1	1	1		1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	1	1
G	1	1	1	1	2	1		1	1	1	1	1	0	1	1	1	1	1	0	2	2	1	1	1
H	1	2	1	1	1	1	1		2	0	1	1	1	1	1	1	1	1	0	1	1	1	2	1
I	1	0	1	1	1	1	1	2		1	2	1	1	1	1	1	0	1	2	1	1	1	1	1
J	1	1	1	1	1	1	1	0	1		2	1	1	1	1	1	1	1	1	1	2	1	1	1
K	2	1	1	1	1	1	1	1	2	2		1	1	1	1	1	0	1	2	0	0	1	1	1
L	1	2	1	1	2	1	1	1	1	1	1		1	1	2	0	1	1	1	1	0	1	1	1
M	1	1	1	1	1	1	0	1	1	1	1	1		1	1	1	2	1	1	2	1	1	1	1
N	1	1	1	0	1	2	1	1	1	1	1	1	1		1	1	1	1	1	1	1	1	1	2
O	1	1	1	1	1	1	1	1	1	1	1	2	1	1		1	1	1	1	1	1	1	1	1
P	1	1	2	1	1	1	1	1	1	1	1	0	1	1	1		1	1	1	1	1	2	1	1
Q	1	1	1	0	1	1	1	1	0	1	0	1	2	1	1	1		1	2	2	1	1	2	1
R	0	2	1	1	1	1	1	1	1	1	1	1	1	1	1	1	1		2	1	2	1	0	1
S	1	1	0	1	1	1	0	0	2	1	2	1	1	1	1	1	2	2		1	1	1	1	1
T	1	1	1	1	1	1	2	1	1	1	0	1	2	1	1	1	2	1	1		1	0	1	1
U	1	0	1	2	1	1	2	1	1	2	0	0	1	1	1	1	1	2	1	1		1	1	1
V	2	1	1	2	0	1	1	1	1	1	1	1	1	1	1	2	1	1	1	0	1		1	1
W	1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	2	0	1	1	1	1		1
X	0	1	1	1	2	1	1	1	1	1	1	1	1	2	1	1	1	1	1	1	1	1	1

	A	B	C	D	E	F	G	H	I	J	K	L	M	N	O	P	Q	R	S	T	U	V	W	X
1	3	3	1	2	1	0	2	1	1	0	1	1	3	0	1	2	1	1	0	1	2	3	1	1
2	1	1	2	2	1	2	2	0	1	3	3	1	0	1	1	2	0	1	2	1	1	1	0	3
3	1	0	1	2	2	2	1	1	2	1	2	2	1	2	2	3	1	2	0	2	1	0	1	0
4	1	3	0	0	1	3	2	3	1	2	0	1	1	2	1	0	1	2	0	1	2	2	2	1
5	1	1	3	2	1	1	1	2	2	1	0	1	1	2	1	1	2	0	2	1	1	1	2	2
6	1	0	1	0	2	0	0	1	1	1	2	2	2	1	2	0	3	2	4	2	1	1	2	1