Gee, it's a lot easier to work this out when there's only one
game left. This information is on the web at
<http://www.u.cc.utah.edu/~jtw16960/jshock.html>; if anyone finds any
mistakes, email me and I'll fix it on the web site. First, here are
the magic numbers (in terms of points) for each team to finish ahead
of each other team:
_M1_ Ck Cr Vt Pr RP Cg Un Ha SL Ya Da Br
Clrk 32-10 @Cg -- 0 0 0 0 0 0 0 0 0 0 0 Clrk
Corn 28-14 SL xx -- 1. 0 0 0 0 0 0 0 0 0 Corn
UVM 27-15 @Ha xx 3. -- 0 1 0 0 0 0 0 0 0 UVM
Prin 25-17 RP xx xx xx -- 2 0 1- 0 0 0 0 0 Prin
RPI 25-17 @Pr xx xx 4 3 -- 1 0 0 0 0 0 0 RPI
Colg 23-19 Ck xx xx xx xx 4 -- 2 0 0 0 0 0 Colg
Unin 23-19 @Ya xx xx xx 4+ xx 3 -- 0 0 0 0 0 Unin
Harv 20-22 Vt xx xx xx xx xx xx xx -- 0 0 0 0 Harv
SLU 15-27 @Cr xx xx xx xx xx xx xx xx -- 1 0 0 SLU
Yale 14-28 Un xx xx xx xx xx xx xx xx 4 -- 0 0 Yale
Dart 12-28 @Br xx xx xx xx xx xx xx xx xx xx -- 0 Dart
Brwn 8-34 Da xx xx xx xx xx xx xx xx xx xx xx -- Brwn
Ck Cr Vt Pr RP Cg Un Ha SL Ya Da Br
Notes:
The 1. and 3. for Cornell/Vermont means that the outcome of a
tiebreaker between these two depends on the Princeton/RPI game. If
RPI wins, Cornell's magic number is 2; otherwise it's 1.
RPI and Princeton play one another, so the possible numbers of
points they can get against each other are only 0, 2 and 4.
The 1- and 4+ for Princeton/Union are because while Princeton
loses a tiebreaker with Union, they win a three-way tiebreaker with
Union and Colgate. So Princeton's magic number is 0 if Colgate wins,
1 otherwise.
Here are the outcomes of all the tiebreakers I used to compile the
above table:
* Cornell=UVM (28-29; 2nd) 2-2
* RPI>UVM 3-1 (27; 3rd)
* UVM>Princeton (27; 3rd) 2-2
* Princeton>RPI (26; 4th) 1-3
* Colg>RPI 3-1 (25; 5th)
#* Colgate>RPI>Union (25; 5th)
* RPI>Union 3-1 (25; 5th or 6th)
* Union>Princeton (25; 5th) 2-2
* Princeton>Colgate (25; 5th) 4-0
#* Princeton>Colgate>Union (25; 5th)
* Colgate>Union (23-25) 3-1
* SLU>Yale (15 or 16; 9th) 3-1
* Yale>Dart (14; 10th) 4-0
The ECAC is off the hook for four-way ties.
Finally, here's how each team will finish based on the
outcomes of tomorrow's games (Dartmouth-Brown is the one irrelevant
contest).
Clarkson:
1st
Cornell:
2nd if Cornell wins, Vermont loses or both tie
2nd if Cornell ties, Vermont wins and Princeton wins or ties
2nd if Cornell loses, Vermont ties and Princeton wins or ties
3rd if Cornell ties, Vermont wins and RPI wins
3rd if Cornell loses, Vermont ties and RPI wins
3rd if Cornell loses and Vermont wins
Vermont:
2nd if Vermont wins, Cornell ties, and RPI wins
2nd if Vermont ties, Cornell loses, and RPI wins
2nd if Vermont wins and Cornell loses
4th if Vermont loses and RPI wins
3rd otherwise
RPI:
3rd if RPI wins and Vermont loses
4th if RPI wins and Vermont wins or ties
6th if RPI loses and Colgate wins
5th otherwise
Princeton:
4th if Princeton wins or ties
6th if Princeton loses, Union wins and Colgate loses or ties
5th otherwise
Colgate:
5th if Colgate wins and RPI loses
7th if Colgate loses and Union wins or ties
7th if Colgate ties and Union wins
6th otherwise
Union:
5th if Union wins, Princeton loses and Colgate loses or ties
7th if Colgate wins, Union loses or both tie
6th otherwise
Harvard:
8th
St. Lawrence:
10th if St. Lawrence loses and Yale wins
9th otherwise
Yale:
9th if Yale wins and St. Lawrence loses
10th otherwise
Dartmouth:
11th
Brown:
12th
John Whelan, Cornell '91
<[log in to unmask]>
<http://www.cc.utah.edu/~jtw16960/jshock.html>
Cornell Men's Ice Hockey: 1996-7 Ivy League Champions
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