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VP math curio

#1 User is offline   Mr. Dodgy 

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Posted 2007-May-22, 21:50

I'm usually pretty good with numbers but this has me stumped...anyone care to try help me out?

I'm using (slightly modified) Victory Points tables to award 'DodgyPoints' to players in certain of the tourneys I run on BBO.

The table for a 24-board tourney is:

IMPs VPs
0-3 15-15
4-9 16-14
10-14 17-13
15-19 18-12
20-24 19-11
25-29 20-10
30-34 21-9
35-39 22-8
40-45 23-7
46-51 24-6
52-57 25-5
58-64 26-4
65-71 27-3
72-79 28-2
80-87 29-1
88+ 30-0

and the results from one tourney were:

Player IMP
A 68
B 62
C 20
D 2
E -32
F -34
G -36
H -50
TOTAL 0

Which gives these awards:

Player VP
A 27
B 26
C 19
D 15
E 9
F 9
G 8
H 6
TOTAL 119


It's that last line that I can't understand - it should be 120...shouldn't it?
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#2 User is offline   jtfanclub 

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Posted 2007-May-22, 22:00

No. Think of a round robin.

Team 1 beats team 2 by 3
Team 1 beats team 3 by 3
Teams 2 and 3 tie.

Team 1 is +6=16 points
Team 2 is -3= 15 points
Team 3 is -3= 15 points

Total is 46, not 45.

If it had been 4, it would be 16, 14, and 14.
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