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Perl: the Markov chain saw

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A visually described algorithm:

Look at how A, B and C follow each other

Round 1
D vs A
B vs C

Round 2
D vs C
A vs B

Round 3
D vs B
C vs A

Visualize the diffence between round 1 and 2 as A went where B was, B went where C was and C went where A was. The same replacement holds when you compare round 2 and 3.

Does not this "cylce" method also work with any even number? I think it does. Yea, I think it does.

If so then for any odd number of teams, add a team called "BYE" and you then have an even number of teams. Any team playing the "BYE" team, um, has a bye.

Example: Teams are A,B,C,D,E,F

Round 1
F v A
B v E
C v D

Round 2
F v E
A v D
B v C

Round 3
F v D
E v C
A v B

Round 4
F v C
D v B
E v A

Round 5
F v B
C v A
D v E

Hope that helps.


In reply to Re: Round robin tournament problem by Anonymous Monk
in thread Round robin tournament problem by CiceroLove

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