Diagonal Tournament Format comments.

Round 1.

The Round 1 setup is
   00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23
00     x  x
01  x        x
02  x           x
03     x           x
04        x           x
05           x           x
06              x           x
07                 x           x
08                    x           x
09                       x           x
10                          x           x     x
11                             x           x     x
12                                x           x     x
13                                   x           x     x
14                                x     x           x     x
15                                   x     x           x     x
16                                      x     x           x     x
17                                         x     x           x     x
18                                            x     x           x     x
19                                               x     x           x     x
20                                                  x     x           x  x
21                                                     x     x        x  x
22                                                        x     x  x     x
23                                                           x  x  x  x


If player 00 is considered to have the strength 24, player 01 strength 23 etc., then
player 00 meets the opponents' strength 23 + 22 = 45
player 01 meets the opponents' resistance 24 + 21 = 45
player 02 meets the opponents' resistance 24 + 20 = 44
etc.
Round 1 opponents' strength'


Dividing the opponents' strength with the player's own strength tells how tough the round is for the player, i.e. his risk of being eliminated:
player 00 risk of elim. 45/24 = 1.88
player 01 risk of elim. 45/23 = 1.96
player 02 risk of elim. 44/22 = 2
etc.
Round 1 risk of elimination'

Round 2.

The Round 2 setup is
   00 01 02 03 04 05 06 07 08 09 10 11
00              x           x
01                 x           x
02                    x           x
03                       x           x
04  x                       x
05     x                       x
06        x                       x
07           x                       x
08  x           x
09     x           x
10        x           x
11           x           x


player 00 meets the opponents' strength 16 + 20 = 36
player 01 meets the opponents' resistance 15 + 19 = 34
player 02 meets the opponents' resistance 14 + 18 = 32
etc.
Round 1 opponents' strength'


Dividing the opponents' strength with the player's own strength = his risk of being eliminated:
player 00 risk of elim. 36/24 = 1.50
player 01 risk of elim. 34/23 = 1.48
player 02 risk of elim. 32/22 = 1.45
etc.
Round 1 risk of elimination'

Race Games Round 1.

The Round 1 setup is
   00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15 16 17 18 19 20 21 22 23
00                 x              x           x              x
01                    x              x           x              x
02                       x              x           x              x
03                          x              x           x              x
04                             x              x           x              x
05  x                             x              x           x
06     x                             x              x           x
07        x                             x              x           x
08           x                             x              x           x
09              x                             x              x           x
10  x              x                             x              x
11     x              x                             x              x
12        x              x                             x              x
13           x              x                             x              x
14  x           x              x                             x
15     x           x              x                             x
16        x           x              x                             x
17           x           x              x                             x
18              x           x              x                             x
19  x              x           x              x
20     x              x           x              x
21        x              x           x              x
22           x              x           x              x
23              x              x           x              x


If player 00 is considered to have the strength 24, player 01 strength 23 etc., then
player 00 meets the opponents' strength 5 + 10 + 14 + 19 = 48
player 01 meets the opponents' resistance 4 + 9 + 13 + 18 = 44
player 02 meets the opponents' resistance 3 + 8 + 12 + 17 = 40
etc.
Race Round 1 opponents' strength'


Dividing the opponents' strength with the player's own strength = his risk of being eliminated.
Fluctuations halved due to the dice.
Round 1 risk of elimination'


Updated 9.9.2023
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