Beer Olympics Schedule

[darkseid225]

Doing a beer olympics with 8 teams, 5 events.  Trying to come up with a schedule so that we never have a team waiting and we have no duplication of matchups.

Here is an example of what I am trying to do, but I just can't seem to figure out a way to make it work where there are no duplicate matchups and where the schedule doesn't have the same team playing two different events at the same time.



Any help would be greatly appreciated.

Thanks!

Andrew

[Ian Wakeling]

Hi Andrew,

I have bad news as the schedule you are looking for does not exist, it is impossible to have each team once in each row/column and have all the matchups different - this has been proven mathematically.   As an alternative you could have 8 players either on a 4x4 grid, or on an 6x6 grid.

Ian 

[darkseid225]

I feared that was the case.  Thank you for the quick response. Do you have the schedule/links for the grids you mentioned? 

Appreciate the help!

Andrew

[Ian Wakeling]

Here are the alternatives that I mentioned above.

4x4 grid:
(7 2) (8 4) (6 3) (1 5)
(8 5) (7 3) (1 4) (6 2)
(1 3) (6 5) (8 2) (7 4)
(6 4) (1 2) (7 5) (8 3)

6x6 grid:
(1 7) (6 4) (---) (3 5) (---) (2 8)
(---) (3 7) (1 5) (4 8) (6 2) (---)
(6 8) (---) (4 2) (---) (1 3) (7 5)
(---) (2 5) (3 8) (6 1) (4 7) (---)
(4 5) (1 8) (---) (2 7) (---) (6 3)
(2 3) (---) (6 7) (---) (8 5) (4 1)