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The
Berger Schedule
or
Berger
All-Play-All Pairing System
In this pairing system each player plays against every other player,
round-robin style. This type of tournament, though cumbersome, usually
produces the most accurate results since no player can get an advantage
simply through lucky pairing. Prior to the first round the players draw
lots for their pairing numbers (i.e. each number in the charts below
corresponds to a player's name)
If there is an odd number of players in the
tournament the highest pairing number is treated as a "bye" - or a
non-play session in which whoever plays the bye (i.e. whoever is scheduled
to play the extra, non-existent person) in a round has a rest period until
the next round. The player with the first number in a pairing has white
and the first move.
In 1902 Monte Carlo, even at the last minute, the
organizers expected 22 participants.
The drawing was done on Sunday, February 2, for a total of 22 players.
Early Monday the directors learned that that Blackburne and Taubenhaus
would not be participating. As seen in the charts below, there should have
been 19 rounds under normal conditions, but the pairing was already
established employing 21 rounds. The tournament, thereby, started on time
- at 9:00 a.m. - using this with an unusual schedule of 21 rounds. This
had the effect of two players receiving a bye in each round.
Schedule for 19-20 Players
|
Round |
|
|
|
|
|
|
|
|
|
|
|
1 |
1:20 |
2:19 |
3:18 |
4:17 |
5:16 |
6:15 |
7:14 |
8:13 |
9:12 |
10:11 |
|
2 |
20:11 |
12:10 |
13:9 |
14:8 |
15:7 |
16:6 |
17:5 |
18:4 |
19:3 |
1:2 |
|
3 |
2:20 |
3:1 |
4:19 |
5:18 |
6:17 |
7:16 |
8:15 |
9:14 |
10:13 |
11:12 |
|
4 |
20:12 |
13:11 |
14:10 |
15:9 |
16:8 |
17:7 |
18:6 |
19:5 |
1:4 |
2:3 |
|
5 |
3:20 |
4:2 |
5:1 |
6:19 |
7:18 |
8:17 |
9:16 |
10:15 |
11:14 |
12:13 |
|
6 |
20:13 |
14:12 |
15:11 |
16:10 |
17:9 |
18:8 |
19:7 |
1:6 |
2:5 |
3:4 |
|
7 |
4:20 |
5:3 |
6:2 |
7:1 |
8:19 |
9:18 |
10:17 |
11:16 |
12:15 |
13:14 |
|
8 |
20:14 |
15:13 |
16:12 |
17:11 |
18:10 |
19:9 |
1:8 |
2:7 |
3:6 |
4:5 |
|
9 |
5:20 |
6:4 |
7:3 |
8:2 |
9:1 |
10:19 |
11:18 |
12:17 |
13:16 |
14:15 |
|
10 |
20:15 |
16:14 |
17:13 |
18:12 |
19:11 |
1:10 |
2:9 |
3:8 |
4:7 |
5:6 |
|
11 |
6:20 |
7:5 |
8:4 |
9:3 |
10:2 |
11:1 |
12:19 |
13:18 |
14:17 |
15:16 |
|
12 |
20:16 |
17:15 |
18:14 |
19:13 |
1:12 |
2:11 |
3:10 |
4:9 |
5:8 |
6:7 |
|
13 |
7:20 |
8:6 |
9:5 |
10:4 |
11:3 |
12:2 |
13:1 |
14:19 |
15:18 |
16:17 |
|
14 |
20:17 |
18:16 |
19:15 |
1:14 |
2:13 |
3:12 |
4:11 |
5:10 |
6:9 |
7:8 |
|
15 |
8:20 |
9:7 |
10:6 |
11:5 |
12:4 |
13:3 |
14:2 |
15:1 |
16:19 |
17:18 |
|
16 |
20:18 |
19:17 |
1:16 |
2:15 |
3:14 |
4:13 |
5:12 |
6:11 |
7:10 |
8:9 |
|
17 |
9:20 |
10:8 |
11:7 |
12:6 |
13:5 |
14:4 |
15:3 |
16:2 |
17:1 |
18:19 |
|
18 |
20:19 |
1:18 |
2:17 |
3:16 |
4:15 |
5:14 |
6:13 |
7:12 |
8:11 |
9:10 |
|
19 |
10:20 |
11:9 |
12:8 |
13:7 |
14:6 |
15:5 |
16:4 |
17:3 |
18:2 |
19:1 |
Schedule for 21-22 Players
|
Round |
|
|
|
|
|
|
|
|
|
|
|
|
1 |
1:22 |
2:21 |
3:20 |
4:19 |
5:18 |
6:17 |
7:16 |
8:15 |
9:14 |
10:13 |
11:12 |
|
2 |
22:12 |
13:11 |
14:10 |
15:9 |
16:8 |
17:7 |
18:6 |
19:5 |
20:4 |
21:3 |
1:2 |
|
3 |
2:22 |
3:1 |
4:21 |
5:20 |
6:19 |
7:18 |
8:17 |
9:16 |
10:15 |
11:14 |
12:13 |
|
4 |
22:13 |
14:12 |
15:11 |
16:10 |
17:9 |
18:8 |
19:7 |
20:6 |
21:5 |
1:4 |
2:3 |
|
5 |
3:22 |
4:2 |
5:1 |
6:21 |
7:20 |
8:19 |
9:18 |
10:17 |
11:16 |
12:15 |
13:14 |
|
6 |
22:14 |
15:13 |
16:12 |
17:11 |
18:10 |
19:9 |
20:8 |
21:7 |
1:6 |
2:5 |
3:4 |
|
7 |
4:22 |
5:3 |
6:2 |
7:1 |
8:21 |
9:20 |
10:19 |
11:18 |
12:17 |
13:16 |
14:15 |
|
8 |
22:15 |
16:14 |
17:13 |
18:12 |
19:11 |
20:10 |
21:9 |
1:8 |
2:7 |
3:6 |
4:5 |
|
9 |
5:22 |
6:4 |
7:3 |
8:2 |
9:1 |
10:21 |
11:20 |
12:19 |
13:18 |
14:17 |
15:16 |
|
10 |
22:16 |
17:15 |
18:14 |
19:13 |
20:12 |
21:11 |
1:10 |
2:9 |
3:8 |
4:7 |
5:6 |
|
11 |
6:22 |
7:5 |
8:4 |
9:3 |
10:2 |
11:1 |
12:21 |
13:20 |
14:19 |
15:18 |
16:17 |
|
12 |
22:17 |
18:16 |
19:15 |
20:14 |
21:13 |
1:12 |
2:11 |
3:10 |
4:9 |
5:8 |
6:7 |
|
13 |
7:22 |
8:6 |
9:5 |
10:4 |
11:3 |
12:2 |
13:1 |
14:21 |
15:20 |
16:19 |
17:18 |
|
14 |
22:18 |
19:17 |
20:16 |
21:15 |
1:14 |
2:13 |
3:12 |
4:11 |
5:10 |
6:9 |
7:8 |
|
15 |
8:22 |
9:7 |
10:6 |
11:5 |
12:4 |
13:3 |
14:2 |
15:1 |
16:21 |
17:20 |
18:19 |
|
16 |
22:19 |
20:18 |
21:17 |
1:16 |
2:15 |
3:14 |
4:13 |
5:12 |
6:11 |
7:10 |
8:9 |
|
17 |
9:22 |
10:8 |
11:7 |
12:6 |
13:5 |
14:4 |
15:3 |
16:2 |
17:1 |
18:21 |
19:20 |
|
18 |
22:20 |
21:19 |
1:18 |
2:17 |
3:16 |
4:15 |
5:14 |
6:13 |
7:12 |
8:11 |
9:10 |
|
19 |
10:22 |
11:9 |
12:8 |
13:7 |
14:6 |
15:5 |
16:4 |
17:3 |
18:2 |
19:1 |
20:21 |
|
20 |
22:21 |
1:20 |
2:19 |
3:18 |
4:17 |
5:16 |
6:15 |
7:14 |
8:13 |
9:12 |
10:11 |
|
21 |
11:22 |
12:10 |
13:9 |
14:8 |
15:7 |
16:6 |
17:5 |
18:4 |
19:3 |
20:2 |
21:1 |
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