Utah win chains

Win Chains for Utah
10:24pm 12 Jan 2015

PL is the length of the shortest path from Utah to the ending team
#P is the total number of paths of that length
W? is
• W if the weighted win chain is stronger than that from the ending team to Utah
• L if the ending team has a stronger win chain to Utah
• T if the weighted win chains have the same value in each direction
[PL #P] is the length and number of the shortest paths back to *

PL	#P	W?	*Win Chains from Utah() to...**
2	1	W	∗→Colorado State→Boston College [3 1]
5	3	L	∗→UCLA→Arizona State→Duke→Georgia Tech→Clemson [4 1]
			∗→Oregon State→Arizona State→Duke→Georgia Tech→Clemson
			∗→Southern California→Arizona→Oregon→Florida State→Clemson
4	2	L	∗→UCLA→Arizona→Oregon→Florida State [4 3]
			∗→Southern California→Arizona→Oregon→Florida State
3	1	W	∗→UCLA→Virginia→Louisville [4 2]
3	1	W	∗→Colorado State→Boston College→North Carolina State [5 1]
3	3	W	∗→Southern California→Notre Dame→Syracuse [6 1]
			∗→Stanford→Maryland→Syracuse
			∗→Colorado State→Boston College→Syracuse
3	1	W	∗→Colorado State→Boston College→Wake Forest [5 1]
3	2	W	∗→UCLA→Arizona State→Duke [5 1]
			∗→Oregon State→Arizona State→Duke
4	3	W	∗→UCLA→Arizona State→Duke→Georgia Tech [5 3]
			∗→Oregon State→Arizona State→Duke→Georgia Tech
			∗→Southern California→Notre Dame→North Carolina→Georgia Tech
3	2	W	∗→UCLA→Virginia→Miami-Florida [5 1]
			∗→Southern California→Nebraska→Miami-Florida
3	1	W	∗→Southern California→Notre Dame→North Carolina [5 2]
3	1	W	∗→UCLA→Virginia→Pittsburgh [4 1]
2	1	W	∗→UCLA→Virginia [5 2]
3	1	W	∗→Colorado State→Boston College→Virginia Tech [4 1]
2	1	W	∗→Michigan→Indiana [6 2]
2	1	W	∗→Stanford→Maryland [4 1]
PL	#P	W?	*Win Chains from Utah() to...**
1	1	W	∗→Michigan [4 1]
4	2	L	∗→UCLA→Arizona→Oregon→Michigan State [3 1]
			∗→Southern California→Arizona→Oregon→Michigan State
4	1	L	∗→Colorado State→Boston College→Virginia Tech→Ohio State [3 1]
2	1	W	∗→Michigan→Penn State [3 1]
3	2	L	∗→Michigan→Penn State→Rutgers [2 1]
			∗→Southern California→Nebraska→Rutgers
3	3	W	∗→UCLA→Washington→Illinois [4 1]
			∗→Southern California→Nebraska→Illinois
			∗→Stanford→Washington→Illinois
3	2	W	∗→Southern California→Nebraska→Iowa [5 3]
			∗→Stanford→Maryland→Iowa
4	4	W	∗→Michigan→Indiana→Missouri→Minnesota [4 1]
			∗→UCLA→Washington→Illinois→Minnesota
			∗→Southern California→Nebraska→Illinois→Minnesota
			∗→Stanford→Washington→Illinois→Minnesota
2	1	W	∗→Southern California→Nebraska [3 1]
2	1	W	∗→Michigan→Northwestern [4 3]
3	2	W	∗→Michigan→Indiana→Purdue [5 1]
			∗→Southern California→Notre Dame→Purdue
3	1	T	∗→Michigan→Northwestern→Wisconsin [3 1]
4	1	T	∗→UCLA→Texas→West Virginia→Baylor [4 1]
3	1	W	∗→UCLA→Texas→Iowa State [6 1]
3	1	W	∗→UCLA→Texas→Kansas [7 2]
2	1	W	∗→UCLA→Kansas State [4 1]
PL	#P	W?	*Win Chains from Utah() to...**
3	1	W	∗→UCLA→Kansas State→Oklahoma [5 3]
3	1	T	∗→UCLA→Texas→Oklahoma State [3 1]
2	1	W	∗→UCLA→Texas [4 1]
5	1	L	∗→UCLA→Texas→West Virginia→Baylor→TCU [4 2]
3	1	W	∗→UCLA→Texas→Texas Tech [7 2]
3	1	W	∗→UCLA→Texas→West Virginia [4 1]
2	1	W	∗→Southern California→Notre Dame [3 1]
2	3	W	∗→UCLA→California [2 1]
			∗→Southern California→California
			∗→Stanford→California
3	2	L	∗→UCLA→Arizona→Oregon [1 1]
			∗→Southern California→Arizona→Oregon
1	1	W	∗→Oregon State [2 1]
1	1	W	∗→Stanford [2 1]
2	2	W	∗→UCLA→Washington [2 1]
			∗→Stanford→Washington
2	2	L	∗→Southern California→Washington State [1 1]
			∗→Stanford→Washington State
2	2	L	∗→UCLA→Arizona [1 1]
			∗→Southern California→Arizona
2	2	L	∗→UCLA→Arizona State [1 1]
			∗→Oregon State→Arizona State
1	1	W	∗→Colorado [6 1]
1	1	W	∗→Southern California [2 2]
1	1	W	∗→UCLA [2 2]
PL	#P	W?	*Win Chains from Utah() to...**
4	2	W	∗→Michigan→Indiana→Missouri→Florida [6 3]
			∗→Southern California→Notre Dame→LSU→Florida
5	4	T	∗→Michigan→Indiana→Missouri→South Carolina→Georgia [5 4]
			∗→UCLA→Arizona State→Duke→Georgia Tech→Georgia
			∗→Oregon State→Arizona State→Duke→Georgia Tech→Georgia
			∗→Southern California→Notre Dame→North Carolina→Georgia Tech→Georgia
4	3	W	∗→Michigan→Indiana→Missouri→Kentucky [7 4]
			∗→UCLA→Virginia→Louisville→Kentucky
			∗→Southern California→Notre Dame→LSU→Kentucky
3	1	W	∗→Michigan→Indiana→Missouri [5 3]
4	1	W	∗→Michigan→Indiana→Missouri→South Carolina [6 4]
4	2	W	∗→Michigan→Indiana→Missouri→Tennessee [5 1]
			∗→UCLA→Kansas State→Oklahoma→Tennessee
4	2	W	∗→Michigan→Penn State→Temple→Vanderbilt [6 1]
			∗→UCLA→Memphis→Temple→Vanderbilt
5	2	L	∗→Southern California→Notre Dame→LSU→Mississippi→Alabama [5 4]
			∗→Colorado State→Boston College→Virginia Tech→Ohio State→Alabama
4	1	T	∗→Michigan→Indiana→Missouri→Arkansas [4 1]
4	1	T	∗→Michigan→Northwestern→Wisconsin→Auburn [4 1]
3	1	W	∗→Southern California→Notre Dame→LSU [4 2]
4	1	L	∗→Southern California→Notre Dame→LSU→Mississippi [3 1]
5	3	T	∗→UCLA→Arizona State→Duke→Georgia Tech→Mississippi State [5 3]
			∗→Oregon State→Arizona State→Duke→Georgia Tech→Mississippi State
			∗→Southern California→Notre Dame→North Carolina→Georgia Tech→Mississippi State
4	2	W	∗→Michigan→Indiana→Missouri→Texas A&M [5 4]
PL	#P	W?	*Win Chains from Utah() to...**
			∗→Southern California→Notre Dame→LSU→Texas A&M
3	1	W	∗→Michigan→Penn State→UCF [4 1]
3	1	W	∗→UCLA→Memphis→Cincinnati [6 3]
3	2	W	∗→UCLA→Memphis→Connecticut [5 1]
			∗→Stanford→Army→Connecticut
4	2	W	∗→Michigan→Penn State→UCF→East Carolina [5 1]
			∗→UCLA→Memphis→Cincinnati→East Carolina
4	5	W	∗→Fresno State→New Mexico→Texas-San Antonio→Houston [5 3]
			∗→Michigan→Penn State→UCF→Houston
			∗→UCLA→Memphis→Cincinnati→Houston
			∗→Southern California→Arizona→Texas-San Antonio→Houston
			∗→Colorado State→Tulsa→Tulane→Houston
2	1	W	∗→UCLA→Memphis [4 1]
3	2	W	∗→UCLA→Memphis→South Florida [6 1]
			∗→Stanford→Maryland→South Florida
3	2	W	∗→UCLA→Memphis→SMU [6 1]
			∗→Colorado State→Tulsa→SMU
3	2	W	∗→Michigan→Penn State→Temple [6 2]
			∗→UCLA→Memphis→Temple
3	2	W	∗→UCLA→Memphis→Tulane [6 2]
			∗→Colorado State→Tulsa→Tulane
2	1	W	∗→Colorado State→Tulsa [7 2]
4	1	W	∗→UCLA→Memphis→Middle Tenn State→UAB [6 1]
3	2	W	∗→Southern California→Nebraska→Florida Atlantic [7 2]
			∗→Colorado State→Wyoming→Florida Atlantic
PL	#P	W?	*Win Chains from Utah() to...**
4	5	W	∗→Fresno State→New Mexico→Texas-San Antonio→Florida Intl [7 2]
			∗→Michigan→Indiana→North Texas→Florida Intl
			∗→UCLA→Virginia→Louisville→Florida Intl
			∗→Southern California→Arizona→Texas-San Antonio→Florida Intl
			∗→Colorado State→New Mexico→Texas-San Antonio→Florida Intl
5	4	W	∗→UCLA→Memphis→Middle Tenn State→Western Kentucky→Marshall [5 2]
			∗→Southern California→Nebraska→Florida Atlantic→Western Kentucky→Marshall
			∗→Stanford→Washington→Illinois→Western Kentucky→Marshall
			∗→Colorado State→Wyoming→Florida Atlantic→Western Kentucky→Marshall
3	1	W	∗→UCLA→Memphis→Middle Tenn State [6 2]
4	2	W	∗→UCLA→Memphis→Middle Tenn State→Old Dominion [5 2]
			∗→Colorado State→Boston College→North Carolina State→Old Dominion
4	4	W	∗→UCLA→Memphis→Middle Tenn State→Western Kentucky [6 3]
			∗→Southern California→Nebraska→Florida Atlantic→Western Kentucky
			∗→Stanford→Washington→Illinois→Western Kentucky
			∗→Colorado State→Wyoming→Florida Atlantic→Western Kentucky
4	1	T	∗→UCLA→Kansas State→Oklahoma→Louisiana Tech [4 1]
3	2	W	∗→Michigan→Indiana→North Texas [7 1]
			∗→UCLA→Texas→North Texas
4	4	W	∗→Fresno State→New Mexico→Texas-San Antonio→Southern Miss [5 1]
			∗→UCLA→Memphis→Middle Tenn State→Southern Miss
			∗→Southern California→Arizona→Texas-San Antonio→Southern Miss
			∗→Colorado State→Utah State→UTEP→Southern Miss
3	1	W	∗→Southern California→Notre Dame→Rice [4 1]
3	4	W	∗→Fresno State→New Mexico→Texas-San Antonio [6 2]
PL	#P	W?	*Win Chains from Utah() to...**
			∗→UCLA→Arizona→Texas-San Antonio
			∗→Southern California→Arizona→Texas-San Antonio
			∗→Colorado State→New Mexico→Texas-San Antonio
3	2	W	∗→UCLA→Kansas State→UTEP [6 3]
			∗→Colorado State→Utah State→UTEP
2	1	W	∗→Stanford→Army [6 1]
3	3	W	∗→Fresno State→Nevada→BYU [3 1]
			∗→UCLA→Memphis→BYU
			∗→Colorado State→Nevada→BYU
3	1	W	∗→Southern California→Notre Dame→Navy [5 1]
3	1	W	∗→Michigan→Penn State→Akron [5 1]
4	3	W	∗→Michigan→Northwestern→Wisconsin→Bowling Green [6 2]
			∗→Stanford→Army→Ball State→Bowling Green
			∗→Colorado→Massachusetts→Ball State→Bowling Green
3	1	W	∗→Stanford→Army→Buffalo [6 1]
3	3	W	∗→Michigan→Miami-Ohio→Kent State [6 1]
			∗→UCLA→Virginia→Kent State
			∗→Colorado→Massachusetts→Kent State
2	1	W	∗→Colorado→Massachusetts [7 2]
2	1	W	∗→Michigan→Miami-Ohio [7 1]
5	8	W	∗→Fresno State→San Diego State→Air Force→Western Michigan→Ohio [6 1]
			∗→Michigan→Indiana→Missouri→Kentucky→Ohio
			∗→UCLA→Virginia→Louisville→Kentucky→Ohio
			∗→Oregon State→San Diego State→Air Force→Western Michigan→Ohio
			∗→Southern California→Notre Dame→Purdue→Western Michigan→Ohio
PL	#P	W?	*Win Chains from Utah() to...**
			∗→Stanford→Army→Ball State→Central Michigan→Ohio
			∗→Colorado→Massachusetts→Ball State→Central Michigan→Ohio
			∗→Colorado State→Boston College→Virginia Tech→Western Michigan→Ohio
3	2	W	∗→Stanford→Army→Ball State [6 1]
			∗→Colorado→Massachusetts→Ball State
4	5	W	∗→UCLA→Texas→Kansas→Central Michigan [6 2]
			∗→Southern California→Notre Dame→Syracuse→Central Michigan
			∗→Stanford→Army→Ball State→Central Michigan
			∗→Colorado→Massachusetts→Ball State→Central Michigan
			∗→Colorado State→Boston College→Syracuse→Central Michigan
3	1	W	∗→Colorado→Massachusetts→Eastern Michigan [7 1]
5	6	W	∗→Michigan→Indiana→Missouri→Arkansas→Northern Illinois [5 2]
			∗→UCLA→Texas→Kansas→Central Michigan→Northern Illinois
			∗→Southern California→Notre Dame→Syracuse→Central Michigan→Northern Illinois
			∗→Stanford→Army→Ball State→Central Michigan→Northern Illinois
			∗→Colorado→Massachusetts→Ball State→Central Michigan→Northern Illinois
			∗→Colorado State→Boston College→Syracuse→Central Michigan→Northern Illinois
4	2	W	∗→Michigan→Indiana→Missouri→Toledo [6 1]
			∗→UCLA→Memphis→Cincinnati→Toledo
4	5	W	∗→Fresno State→San Diego State→Air Force→Western Michigan [7 4]
			∗→Michigan→Indiana→Purdue→Western Michigan
			∗→Oregon State→San Diego State→Air Force→Western Michigan
			∗→Southern California→Notre Dame→Purdue→Western Michigan
			∗→Colorado State→Boston College→Virginia Tech→Western Michigan
3	3	W	∗→Fresno State→San Diego State→Air Force [3 2]
PL	#P	W?	*Win Chains from Utah() to...**
			∗→Oregon State→San Diego State→Air Force
			∗→Colorado State→Utah State→Air Force
4	3	L	∗→Fresno State→San Diego State→Air Force→Boise State [2 1]
			∗→Oregon State→San Diego State→Air Force→Boise State
			∗→Colorado State→Utah State→Air Force→Boise State
1	1	W	∗→Colorado State [3 1]
2	2	W	∗→Fresno State→New Mexico [5 2]
			∗→Colorado State→New Mexico
2	1	W	∗→Colorado State→Utah State [4 2]
2	1	W	∗→Colorado State→Wyoming [4 2]
1	1	W	∗→Fresno State [3 1]
2	4	W	∗→Fresno State→Hawaii [5 2]
			∗→Oregon State→Hawaii
			∗→Colorado→Hawaii
			∗→Colorado State→Hawaii
2	2	W	∗→Fresno State→Nevada [2 1]
			∗→Colorado State→Nevada
2	2	W	∗→Fresno State→San Diego State [4 1]
			∗→Oregon State→San Diego State
2	2	W	∗→Fresno State→San Jose State [5 2]
			∗→Colorado State→San Jose State
3	6	W	∗→Fresno State→New Mexico→UNLV [4 1]
			∗→UCLA→Arizona→UNLV
			∗→Oregon State→Hawaii→UNLV
			∗→Southern California→Arizona→UNLV
PL	#P	W?	*Win Chains from Utah() to...**
			∗→Colorado→Hawaii→UNLV
			∗→Colorado State→Nevada→UNLV
2	1	W	∗→Michigan→Appalachian State [4 1]
3	1	W	∗→Michigan→Appalachian State→Arkansas State [5 1]
4	2	W	∗→Southern California→Notre Dame→Navy→Georgia Southern [5 1]
			∗→Colorado State→Boston College→North Carolina State→Georgia Southern
3	3	W	∗→Michigan→Appalachian State→Georgia State [0 0]
			∗→UCLA→Washington→Georgia State
			∗→Stanford→Washington→Georgia State
3	3	W	∗→Fresno State→San Diego State→Idaho [0 0]
			∗→Michigan→Appalachian State→Idaho
			∗→Oregon State→San Diego State→Idaho
3	2	W	∗→Fresno State→New Mexico→New Mexico State [0 0]
			∗→Colorado State→New Mexico→New Mexico State
4	2	W	∗→Michigan→Appalachian State→Arkansas State→South Alabama [5 1]
			∗→Southern California→Notre Dame→Navy→South Alabama
4	4	W	∗→Michigan→Appalachian State→UL Lafayette→Texas State [6 1]
			∗→UCLA→Washington→Illinois→Texas State
			∗→Southern California→Notre Dame→Navy→Texas State
			∗→Stanford→Washington→Illinois→Texas State
3	1	W	∗→Michigan→Appalachian State→Troy [0 0]
3	1	T	∗→Michigan→Appalachian State→UL Lafayette [3 1]
3	1	W	∗→Michigan→Appalachian State→UL Monroe [6 1]

Win Chains for Utah 10:24pm 12 Jan 2015

Win Chains for Utah
10:24pm 12 Jan 2015