I am not aware of a suitable program, so I think I can only be of limited help.
22 teams, 11 games & 11 rounds is possible:
(0 11) (10 12) (9 13) (8 14) (7 15) (6 16) (5 17) (4 18) (3 19) (2 20) (1 21)
(2 21) (1 11) (0 12) (10 13) (9 14) (8 15) (7 16) (6 17) (5 18) (4 19) (3 20)
(4 20) (3 21) (2 11) (1 12) (0 13) (10 14) (9 15) (8 16) (7 17) (6 18) (5 19)
(6 19) (5 20) (4 21) (3 11) (2 12) (1 13) (0 14) (10 15) (9 16) (8 17) (7 18)
(8 18) (7 19) (6 20) (5 21) (4 11) (3 12) (2 13) (1 14) (0 15) (10 16) (9 17)
(10 17) (9 18) (8 19) (7 20) (6 21) (5 11) (4 12) (3 13) (2 14) (1 15) (0 16)
(1 16) (0 17) (10 18) (9 19) (8 20) (7 21) (6 11) (5 12) (4 13) (3 14) (2 15)
(3 15) (2 16) (1 17) (0 18) (10 19) (9 20) (8 21) (7 11) (6 12) (5 13) (4 14)
(5 14) (4 15) (3 16) (2 17) (1 18) (0 19) (10 20) (9 21) (8 11) (7 12) (6 13)
(7 13) (6 14) (5 15) (4 16) (3 17) (2 18) (1 19) (0 20) (10 21) (9 11) (8 12)
(9 12) (8 13) (7 14) (6 15) (5 16) (4 17) (3 18) (2 19) (1 20) (0 21) (10 11)
and I could find something similar for 24 players and 12 games/rounds. But I guess for practical reasons there might be a limit on the number of different games and the number of rounds you can play.
Hello,
I am slightly confused since much of the above is about each location exactly once (no repeats) and therefore not playing a complete round robin.
You can have 32 teams scheduled in the way that you describe. For example:
( 4 32) ( 8 2) (10 20) ( 3 29) (17 21) (19 28) (11 23) ( 9 25) (13 6) (22 1) (31 7) (16 30) (14 15) (12 18) ( 5 24) (26 27)
( 8 25) ( 6 32) ( 4 9) (12 22) ( 1 5) (20 24) (21 29) (26 14) (27 11) ( 7 16) (23 3) (31 10) (18 2) (15 17) (19 13) (28 30)
(21 16) (27 9) ( 7 32) ( 6 11) (23 13) ( 8 3) (22 25) (24 1) (15 28) (14 30) (18 10) (26 5) (31 12) (19 4) (20 17) (29 2)
(22 20) (24 18) (11 30) (10 32) (14 7) (16 26) ( 5 9) (23 27) (25 3) (17 29) ( 2 15) (12 19) (28 8) (31 13) ( 6 21) ( 1 4)
( 7 24) (22 23) (19 25) (14 2) (12 32) (15 10) (28 18) (11 8) (26 30) (27 5) (20 1) (17 4) (13 21) (29 9) (31 16) ( 3 6)
(31 18) (10 25) (26 23) (21 27) ( 4 15) (13 32) (17 12) (19 29) ( 9 14) (28 2) (30 8) ( 3 22) (20 6) (16 24) ( 1 11) ( 5 7)
( 3 14) (31 19) (27 12) (28 26) (30 24) (17 6) (16 32) (13 20) ( 1 21) (11 15) (29 4) ( 2 9) (23 5) (22 7) (25 18) ( 8 10)
(27 19) ( 5 15) (31 21) (30 13) (28 29) ( 2 25) ( 7 20) (18 32) (22 16) ( 3 24) (14 17) ( 1 6) ( 4 11) (26 8) (10 23) ( 9 12)
(12 26) (30 21) ( 8 17) (31 24) (16 2) ( 1 29) ( 4 27) (22 10) (19 32) (18 23) ( 5 25) (20 15) ( 3 7) ( 6 14) ( 9 28) (11 13)
(11 29) (13 28) (24 2) ( 9 20) (31 25) (18 4) ( 1 3) (30 6) (12 23) (21 32) (26 19) (27 8) (17 22) ( 5 10) ( 7 15) (14 16)
(10 17) ( 1 14) (29 16) (25 4) (11 22) (31 27) (19 6) ( 5 3) ( 7 2) (13 26) (24 32) (21 28) ( 9 30) (20 23) ( 8 12) (15 18)
( 9 13) (12 20) (15 3) ( 1 18) ( 6 27) (14 23) (31 30) ( 7 21) ( 5 8) ( 4 10) (16 28) (25 32) (24 29) (11 2) (26 22) (17 19)
(28 23) (11 16) (13 22) (17 5) (19 3) ( 7 30) (15 26) (31 2) (24 10) ( 8 9) (12 6) (29 18) (27 32) (25 1) ( 4 14) (20 21)
( 6 15) (26 29) (14 18) (16 23) ( 8 20) (21 5) (10 2) (17 28) (31 4) (12 25) ( 9 11) ( 7 13) (19 1) (30 32) ( 3 27) (22 24)
( 5 30) (17 7) ( 1 28) (15 19) (18 26) (22 9) (24 8) ( 4 12) (20 29) (31 6) (27 13) (14 11) (10 16) (21 3) ( 2 32) (23 25)
( 1 2) ( 3 4) ( 5 6) ( 7 8) ( 9 10) (11 12) (13 14) (15 16) (17 18) (19 20) (21 22) (23 24) (25 26) (27 28) (29 30) (31 32)
(29 6) (18 8) ( 2 27) (20 16) (25 17) (10 21) (23 7) ( 3 11) (30 19) ( 5 31) (28 14) (13 12) (15 9) ( 4 22) (32 1) (24 26)
(16 5) (25 30) (17 13) (24 15) ( 7 19) ( 6 22) ( 9 1) (27 18) ( 3 31) (26 11) (10 12) ( 8 14) ( 2 20) (32 29) (28 4) (21 23)
(24 27) (15 12) (21 14) (18 6) (20 4) (29 8) (25 16) ( 1 31) (23 9) (10 7) (11 5) (30 17) (32 28) ( 2 26) (13 3) (19 22)
(14 10) (19 11) (16 4) ( 2 17) ( 5 28) (24 13) (29 31) ( 8 22) ( 6 7) ( 9 3) (15 27) (32 26) (30 23) ( 1 12) (21 25) (18 20)
(18 9) ( 2 13) (30 15) (26 3) (21 12) (28 31) (20 5) ( 6 4) ( 8 1) (25 14) (32 23) (22 27) (29 10) (24 19) (11 7) (16 17)
(30 12) (14 27) (23 1) (19 10) (26 31) ( 3 17) ( 2 4) (29 5) (11 24) (32 22) (25 20) (28 7) (21 18) ( 9 6) (16 8) (13 15)
(25 11) (29 22) (18 7) (23 31) (15 1) (30 2) ( 3 28) (21 9) (32 20) (24 17) ( 6 26) (19 16) ( 8 4) (13 5) (27 10) (12 14)
(20 28) (16 6) (22 31) (29 14) (27 30) (26 1) ( 8 19) (32 17) (21 15) (23 4) (13 18) ( 5 2) (12 3) ( 7 25) (24 9) (10 11)
(13 4) (20 31) (28 11) (27 25) (29 23) ( 5 18) (32 15) (14 19) ( 2 22) (16 12) ( 3 30) (10 1) ( 6 24) ( 8 21) (17 26) ( 7 9)
(17 31) ( 9 26) (25 24) (22 28) ( 3 16) (32 14) (18 11) (20 30) (10 13) ( 1 27) ( 7 29) ( 4 21) ( 5 19) (23 15) (12 2) ( 6 8)
(23 8) (21 24) (20 26) (13 1) (32 11) ( 9 16) (27 17) (12 7) (29 25) ( 6 28) (19 2) (18 3) (22 14) (10 30) (15 31) ( 4 5)
(19 21) (23 17) (12 29) (32 9) (13 8) (25 15) ( 6 10) (28 24) ( 4 26) (30 18) ( 1 16) (11 20) ( 7 27) (14 31) (22 5) ( 2 3)
(15 22) (28 10) (32 8) ( 5 12) (24 14) ( 4 7) (26 21) ( 2 23) (16 27) (29 13) (17 9) ( 6 25) (11 31) ( 3 20) (18 19) (30 1)
(26 7) (32 5) ( 3 10) (11 21) ( 2 6) (23 19) (30 22) (25 13) (28 12) (15 8) ( 4 24) ( 9 31) ( 1 17) (18 16) (14 20) (27 29)
(32 3) ( 7 1) ( 9 19) ( 4 30) (22 18) (27 20) (12 24) (10 26) (14 5) ( 2 21) ( 8 31) (15 29) (16 13) (17 11) (23 6) (25 28)
and by the time you have played the round (row) where the team numbers are in natural order, then each team will have occurred exactly once in each of the locations (the 16 columns).
30 teams is much more problematic. There is no problem making the first 15 rounds:
(30 1) (19 14) (25 4) (27 10) (20 6) (17 13) (28 15) (26 5) (22 3) (29 9) (23 2) (21 8) (18 7) (24 11) (16 12)
(19 9) (30 2) (22 1) (16 15) (29 7) (26 14) (17 8) (24 4) (23 11) (27 6) (18 3) (20 5) (28 12) (25 10) (21 13)
(29 4) (21 5) (30 3) (28 11) (25 8) (16 1) (23 6) (22 9) (26 7) (17 12) (19 13) (27 14) (24 15) (20 2) (18 10)
(23 7) (25 3) (18 11) (30 4) (26 12) (24 2) (20 14) (27 15) (21 6) (19 5) (16 9) (22 10) (29 8) (28 13) (17 1)
(20 13) (29 12) (27 9) (24 1) (30 5) (22 7) (21 10) (25 11) (16 14) (18 2) (26 8) (23 3) (19 4) (17 15) (28 6)
(22 5) (20 11) (16 13) (23 8) (17 10) (30 6) (27 12) (18 14) (25 2) (24 7) (28 4) (19 15) (21 1) (29 3) (26 9)
(21 2) (27 4) (19 10) (18 12) (22 15) (28 5) (30 7) (23 13) (20 8) (16 11) (29 14) (25 9) (17 6) (26 1) (24 3)
(28 14) (26 10) (23 5) (29 13) (21 11) (20 15) (24 9) (30 8) (17 4) (25 1) (22 12) (18 6) (16 3) (27 7) (19 2)
(26 6) (18 15) (17 14) (21 3) (27 13) (29 11) (22 2) (19 1) (30 9) (28 8) (24 10) (16 7) (25 5) (23 12) (20 4)
(24 12) (17 9) (29 6) (25 14) (23 4) (19 8) (26 3) (20 7) (18 13) (30 10) (21 15) (28 1) (27 2) (16 5) (22 11)
(17 3) (16 8) (20 12) (26 2) (28 9) (21 4) (18 5) (29 10) (27 1) (23 15) (30 11) (24 13) (22 14) (19 6) (25 7)
(25 15) (22 13) (28 2) (20 9) (19 3) (23 10) (29 1) (16 6) (24 5) (21 14) (17 7) (30 12) (26 11) (18 4) (27 8)
(16 10) (28 7) (24 8) (22 6) (18 1) (25 12) (19 11) (17 2) (29 15) (20 3) (27 5) (26 4) (30 13) (21 9) (23 14)
(18 8) (24 6) (26 15) (19 7) (16 2) (27 3) (25 13) (21 12) (28 10) (22 4) (20 1) (17 11) (23 9) (30 14) (29 5)
(27 11) (23 1) (21 7) (17 5) (24 14) (18 9) (16 4) (28 3) (19 12) (26 13) (25 6) (29 2) (20 10) (22 8) (30 15)
But it is not known how to complete the round robin giving something similar to the 32 team schedule. As with some of the schedules above, each game in the 30 player schedule has one team from 1-15, and one team from 16-30.
Hope that helps.
Here are some more schedules as requested.
34 teams
(3 34) (33 2) (31 14) (19 13) (6 28) (24 29) (18 7) (32 23) (5 9) (22 26) (20 11) (27 8) (16 21) (30 17) (10 15) (12 25) (1 4)
(33 4) (1 34) (16 17) (15 29) (22 31) (7 26) (21 30) (20 6) (28 24) (8 12) (5 25) (18 10) (19 32) (13 23) (9 27) (11 14) (2 3)
(30 16) (14 20) (8 34) (33 5) (1 18) (17 23) (10 31) (28 4) (11 22) (27 2) (13 9) (29 26) (15 24) (32 12) (25 19) (3 21) (7 6)
(18 15) (13 32) (33 7) (6 34) (21 19) (4 20) (1 26) (11 29) (25 3) (24 10) (28 31) (12 16) (30 9) (22 14) (2 23) (17 27) (8 5)
(8 25) (23 30) (3 19) (18 24) (12 34) (9 33) (6 22) (27 21) (14 1) (31 7) (15 26) (32 5) (17 13) (29 4) (20 28) (16 2) (10 11)
(32 21) (27 5) (20 22) (17 2) (11 33) (10 34) (25 23) (24 7) (29 6) (4 15) (30 8) (14 28) (31 1) (19 16) (3 13) (26 18) (9 12)
(5 19) (31 24) (30 12) (27 3) (8 23) (28 22) (16 34) (13 33) (10 26) (32 25) (18 6) (11 1) (29 20) (2 9) (17 21) (7 4) (15 14)
(29 22) (17 8) (2 25) (9 32) (26 24) (21 5) (15 33) (14 34) (27 30) (28 11) (4 10) (20 7) (3 12) (31 18) (6 1) (23 19) (16 13)
(7 11) (25 21) (23 9) (1 28) (3 16) (8 32) (12 27) (31 26) (19 34) (33 17) (14 29) (30 2) (22 10) (6 15) (24 4) (13 5) (18 20)
(27 23) (6 10) (26 4) (21 12) (30 5) (13 2) (29 28) (25 9) (33 20) (18 34) (3 32) (31 15) (7 14) (24 11) (16 8) (22 1) (17 19)
(9 17) (7 28) (11 15) (30 25) (13 27) (31 6) (8 19) (12 2) (16 32) (1 29) (23 34) (21 33) (18 4) (5 3) (14 26) (20 10) (24 22)
(26 6) (19 12) (27 32) (10 14) (29 7) (16 25) (9 3) (17 5) (4 31) (30 13) (24 33) (22 34) (2 8) (1 20) (18 11) (28 15) (23 21)
(14 24) (29 18) (21 13) (31 11) (20 15) (3 30) (17 32) (1 10) (12 23) (16 5) (19 2) (6 4) (27 34) (25 33) (7 22) (8 9) (26 28)
(20 31) (22 15) (29 10) (23 16) (2 32) (18 14) (11 4) (30 19) (13 8) (21 9) (1 7) (17 3) (28 33) (26 34) (5 12) (24 6) (25 27)
(12 13) (26 11) (28 18) (4 22) (17 25) (15 1) (24 20) (8 3) (21 2) (6 14) (16 27) (19 9) (23 5) (7 10) (32 34) (33 30) (31 29)
(28 10) (9 16) (24 1) (26 20) (14 4) (27 19) (5 2) (18 22) (15 7) (3 23) (17 12) (13 25) (6 11) (8 21) (33 31) (29 34) (32 30)
(1 2) (3 4) (5 6) (7 8) (9 10) (11 12) (13 14) (15 16) (17 18) (19 20) (21 22) (23 24) (25 26) (27 28) (29 30) (31 32) (33 34)
36 teams
(17 36) (13 34) (15 35) (19 33) (16 25) (18 31) (10 27) (11 30) (12 26) (2 29) (8 32) (9 28) (24 5) (1 22) (23 3) (21 7) (4 14) (6 20)
(13 35) (15 36) (17 34) (16 31) (18 33) (19 25) (11 26) (12 27) (10 30) (8 28) (9 29) (2 32) (23 1) (3 24) (22 5) (20 4) (6 21) (7 14)
(15 34) (17 35) (13 36) (18 25) (19 31) (16 33) (12 30) (10 26) (11 27) (9 32) (2 28) (8 29) (22 3) (5 23) (24 1) (14 6) (7 20) (4 21)
(14 33) (20 25) (21 31) (22 36) (23 34) (24 35) (7 29) (4 32) (6 28) (5 27) (1 30) (3 26) (15 10) (11 17) (13 12) (18 2) (8 19) (9 16)
(20 31) (21 33) (14 25) (23 35) (24 36) (22 34) (4 28) (6 29) (7 32) (1 26) (3 27) (5 30) (13 11) (12 15) (17 10) (16 8) (9 18) (2 19)
(21 25) (14 31) (20 33) (24 34) (22 35) (23 36) (6 32) (7 28) (4 29) (3 30) (5 26) (1 27) (17 12) (10 13) (15 11) (19 9) (2 16) (8 18)
(19 29) (16 32) (18 28) (17 27) (13 30) (15 26) (5 36) (1 34) (3 35) (7 33) (4 25) (6 31) (21 2) (8 14) (20 9) (24 10) (11 22) (12 23)
(16 28) (18 29) (19 32) (13 26) (15 27) (17 30) (1 35) (3 36) (5 34) (4 31) (6 33) (7 25) (20 8) (9 21) (14 2) (23 11) (12 24) (10 22)
(18 32) (19 28) (16 29) (15 30) (17 26) (13 27) (3 34) (5 35) (1 36) (6 25) (7 31) (4 33) (14 9) (2 20) (21 8) (22 12) (10 23) (11 24)
(22 27) (23 30) (24 26) (14 29) (20 32) (21 28) (2 33) (8 25) (9 31) (10 36) (11 34) (12 35) (18 7) (4 19) (16 6) (15 5) (1 17) (3 13)
(23 26) (24 27) (22 30) (20 28) (21 29) (14 32) (8 31) (9 33) (2 25) (11 35) (12 36) (10 34) (16 4) (6 18) (19 7) (13 1) (3 15) (5 17)
(24 30) (22 26) (23 27) (21 32) (14 28) (20 29) (9 25) (2 31) (8 33) (12 34) (10 35) (11 36) (19 6) (7 16) (18 4) (17 3) (5 13) (1 15)
(12 4) (2 9) (10 8) (1 5) (11 6) (7 3) (24 16) (14 21) (22 20) (13 17) (23 18) (19 15) (28 36) (25 33) (31 34) (30 26) (35 29) (32 27)
(8 11) (5 12) (1 3) (2 10) (7 4) (9 6) (20 23) (17 24) (13 15) (14 22) (19 16) (21 18) (35 31) (30 36) (27 26) (34 25) (32 28) (33 29)
(5 9) (11 10) (12 7) (4 6) (2 3) (1 8) (17 21) (23 22) (24 19) (16 18) (14 15) (13 20) (33 30) (35 34) (32 36) (29 28) (25 27) (26 31)
(6 3) (1 7) (2 11) (12 9) (8 5) (4 10) (18 15) (13 19) (14 23) (24 21) (20 17) (16 22) (27 29) (26 32) (35 25) (33 36) (31 30) (28 34)
(7 10) (6 8) (9 4) (3 11) (1 12) (5 2) (19 22) (18 20) (21 16) (15 23) (13 24) (17 14) (34 32) (29 31) (28 33) (35 27) (26 36) (30 25)
(1 2) (3 4) (5 6) (7 8) (9 10) (11 12) (13 14) (15 16) (17 18) (19 20) (21 22) (23 24) (25 26) (27 28) (29 30) (31 32) (33 34) (35 36)
38 teams
(19 38) (7 33) (9 31) (29 5) (3 35) (13 23) (27 17) (11 25) (21 15) (37 1) (8 16) (10 14) (12 6) (18 4) (32 24) (28 36) (30 26) (22 34) (20 2)
(26 16) (38 21) (35 29) (27 33) (17 23) (31 19) (1 25) (9 5) (11 13) (7 15) (37 3) (18 30) (10 34) (36 24) (20 14) (2 8) (28 6) (32 12) (22 4)
(28 14) (12 18) (38 23) (11 21) (31 25) (35 15) (7 3) (1 27) (33 19) (13 9) (29 17) (37 5) (22 30) (32 8) (34 36) (26 4) (2 10) (16 20) (24 6)
(24 12) (10 16) (30 4) (38 25) (15 13) (3 27) (35 19) (17 31) (1 23) (5 11) (33 9) (21 29) (7 37) (34 14) (22 28) (18 20) (36 32) (2 6) (26 8)
(18 22) (6 36) (14 8) (32 34) (27 38) (1 21) (11 15) (19 29) (25 5) (3 17) (35 23) (31 7) (13 33) (37 9) (2 4) (16 30) (20 12) (26 24) (28 10)
(6 32) (2 14) (18 34) (22 10) (20 4) (38 29) (16 24) (26 36) (7 9) (31 23) (13 19) (33 35) (27 21) (1 3) (37 11) (5 15) (17 25) (8 28) (30 12)
(10 36) (8 20) (22 26) (2 18) (34 30) (5 33) (38 31) (23 21) (28 12) (27 35) (1 7) (25 3) (19 17) (15 29) (16 6) (13 37) (24 4) (9 11) (32 14)
(8 30) (28 24) (10 20) (14 36) (2 12) (17 7) (6 4) (33 38) (22 32) (29 25) (5 27) (1 9) (35 31) (11 19) (18 26) (3 23) (37 15) (21 13) (34 16)
(34 4) (32 30) (2 16) (6 20) (8 24) (28 26) (29 9) (13 3) (38 35) (33 21) (11 31) (15 19) (1 5) (25 23) (27 7) (10 12) (22 14) (37 17) (36 18)
(20 37) (26 34) (28 32) (30 24) (36 22) (6 14) (10 18) (12 8) (4 16) (38 2) (15 25) (13 27) (23 11) (17 21) (31 5) (9 35) (7 29) (3 33) (1 19)
(25 33) (22 37) (36 12) (16 28) (18 6) (2 32) (26 20) (10 24) (14 30) (34 8) (4 38) (11 17) (15 9) (5 35) (13 1) (19 7) (23 27) (29 31) (3 21)
(31 27) (11 35) (37 24) (4 12) (26 14) (18 16) (8 22) (28 20) (2 34) (10 32) (36 30) (38 6) (29 3) (13 7) (17 33) (21 25) (19 9) (15 1) (5 23)
(29 23) (27 15) (11 3) (37 26) (16 32) (4 10) (36 2) (14 18) (20 24) (30 6) (34 28) (12 22) (38 8) (31 33) (21 9) (17 1) (13 35) (5 19) (7 25)
(21 35) (17 5) (25 13) (31 15) (28 37) (22 20) (12 34) (2 30) (8 6) (36 4) (24 18) (32 26) (14 16) (38 10) (19 3) (33 29) (11 1) (23 7) (9 27)
(5 13) (31 1) (15 17) (3 9) (21 19) (37 30) (33 23) (7 35) (26 10) (14 24) (20 32) (16 36) (4 28) (2 22) (38 12) (34 6) (8 18) (27 25) (11 29)
(9 17) (19 25) (21 7) (35 1) (11 33) (34 24) (37 32) (6 22) (27 29) (28 18) (26 2) (8 4) (36 20) (16 12) (15 23) (38 14) (5 3) (10 30) (13 31)
(7 11) (9 23) (27 19) (13 17) (29 1) (8 36) (5 21) (34 37) (31 3) (12 26) (6 10) (28 2) (18 32) (20 30) (35 25) (22 24) (38 16) (4 14) (15 33)
(3 15) (13 29) (33 1) (23 19) (7 5) (25 9) (28 30) (4 32) (37 36) (22 16) (14 12) (34 20) (2 24) (6 26) (10 8) (27 11) (21 31) (38 18) (17 35)
(1 2) (3 4) (5 6) (7 8) (9 10) (11 12) (13 14) (15 16) (17 18) (19 20) (21 22) (23 24) (25 26) (27 28) (29 30) (31 32) (33 34) (35 36) (37 38)
18 teams (note all games are of the form 1-9 vs 10-18
( 1 10) ( 9 11) ( 8 12) ( 7 13) ( 6 14) ( 5 15) ( 4 16) ( 3 17) ( 2 18)
( 3 18) ( 2 10) ( 1 11) ( 9 12) ( 8 13) ( 7 14) ( 6 15) ( 5 16) ( 4 17)
( 5 17) ( 4 18) ( 3 10) ( 2 11) ( 1 12) ( 9 13) ( 8 14) ( 7 15) ( 6 16)
( 7 16) ( 6 17) ( 5 18) ( 4 10) ( 3 11) ( 2 12) ( 1 13) ( 9 14) ( 8 15)
( 9 15) ( 8 16) ( 7 17) ( 6 18) ( 5 10) ( 4 11) ( 3 12) ( 2 13) ( 1 14)
( 2 14) ( 1 15) ( 9 16) ( 8 17) ( 7 18) ( 6 10) ( 5 11) ( 4 12) ( 3 13)
( 4 13) ( 3 14) ( 2 15) ( 1 16) ( 9 17) ( 8 18) ( 7 10) ( 6 11) ( 5 12)
( 6 12) ( 5 13) ( 4 14) ( 3 15) ( 2 16) ( 1 17) ( 9 18) ( 8 10) ( 7 11)
( 8 11) ( 7 12) ( 6 13) ( 5 14) ( 4 15) ( 3 16) ( 2 17) ( 1 18) ( 9 10)
I am thinking that as the number of teams rise, the proportion of the locations visited by each team is getting less since you are restricted to 10 rounds. So with 38 teams, each team visit only 10 of the 19 locations.