As a demonstration of how a bracket is actually put together, I'll use the metrics bracket I showed yesterday to build a legal bracket.
Here is the S-curve:
1. Michigan
2. Arizona
3. Duke
4. Iowa St.
5. Houston
6. Illinois
7. UConn
8. Purdue
9. Florida
10. Gonzaga
11. Michigan St.
12. Nebraska
13. Vanderbilt
14. Kansas
15. Louisville
16. Virginia
17. Tennessee
18. BYU
19. Texas Tech
20. Iowa
21. Alabama
22. Saint Louis
23. St. John's
24. Arkansas
25. NC State
26. North Carolina
27. Auburn
28. Indiana
29. Clemson
30. Utah St.
31. Texas A&M
32. Villanova
33. Kentucky
34. SMU
35. St. Mary's
36. Wisconsin
37. Georgia
38. Santa Clara
39. Miami FL
40. UCLA
41. New Mexico
42. UCF*
43. USC*
44. Tulsa
45. Belmont
46. Oklahoma St.*
47. McNeese
48. Yale
49. Miami OH
50. George Mason*
51. Liberty
52. Utah Valley
53. Hawaii
54. High Point
55. UNCW
56. St. Thomas
57. ETSU
58. Oakland
59. Marshall
60. Portland St.
61. Austin Peay
62. Marist
63. UT Martin
64. Navy
65. LIU*
66. Vermont*
67. Bethune-Cookman*
68. Howard*
So right away we know the play-in games are UCF-USC, Oklahoma State-George Mason, LIU-Vermont, and Bethune Cookman-Howard.
Next, we assign regions from teams 1-4. Michigan is 1, their region will be Midwest (Chicago). Arizona at 2 will get the West region (Las Vegas). Duke at 3 gets the East region (DC), and Iowa State gets the South region (Houston), as that's what is left.
Next up is the pods for the first two rounds, assigned from teams 1 to 16. Half of the pods are Thursday-Saturday (TS) pods, half are Friday-Sunday (FS) pods. BYU must be in a TS pod (and a TS region! which means they have to be in the West or South regional, luck for them). Play-ins will be split, as Tuesday play-ins will go to a TS pod and Wednesday play-ins will go to a FS pod. It's also a rule you can't play at home, which this year would make it so San Diego State can't play in San DIego, but that's the only specific one here for an at-large quality team (hosts are Niagara, Furman, Oregon State, South Florida, St. Joseph's and San Diego State. Oklahoma City is in the NBA stadium, and St. Louis is the Enterprise Center). Here are the sites and dates:
TS Buffalo, NY
TS Greenville, SC
TS Oklahoma City, OK
TS Portland, OR
FS Tampa, FL
FS Philadelphia, PA
FS San Diego, CA
FS St. Louis, MO
1. Michigan would get Buffalo, NY and the Tuesday play-in winner of Bethune-Cookman and Howard.
2. Arizona would get San Diego, CA and the Wednesday play-in winner of LIU and Vermont.
3. Duke would get Greenville, SC and play 64 Navy in the first round.
4. Iowa State would get St. Louis, MO and play 63 UT Martin in the first round.
5. Houston would get Oklahoma City, OK and play 62 Marist in the first round.
6. Illinois would get St. Louis, MO and play 61 Austin Peay in the first round.
7. UConn would get Philadelphia, PA and play 60 Portland State in the first round.
8. Purdue would get Buffalo, NY (80 miles closer than Greenville) and play 59 Marshall in the first round.
9. Florida would get Tampa, FL and play 58 Oakland in the first round.
10. Gonzaga would get Portland, OR and play 57 ETSU in the first round.
11. Michigan State would get Philadelphia, PA and play 56 St. Thomas in the first round.
12. Nebraska would get Oklahoma City, OK and play 55 UNC Wilmington in the first round.
13. Vanderbilt would get Greenville, SC and play 54 High Point in the first round.
14. Kansas would get Tampa FL (somehow the closest option left) and would play 53 Hawaii in the first round, but due to travel concerns and the fact that there's a San Diego pod game left, they'd probably play 52 Utah Valley.
15. Louisville would get San Diego, CA (it's that or Portland, guess which is closer) and play 53 Hawaii in the first round.
16. Virginia would get Portland, OR and play 51 Liberty in the first round.
Now that regions and pods are established, build a legal bracket for the top 4 seeds:
Midwest (FS-Chicago): (34)
TS-Buffalo, NY 1 (1) Michigan vs 16b Bethune-Cookman/Howard
FS-Philadelphia, PA 2 (7) UConn vs 15 Portland State
TS-Oklahoma City, OK 3 (12) Nebraska vs 14 UNC Wilmington
FS-Tampa, FL 4 (14) Kansas vs 13 Utah Valley
South (TS-Houston): (36)
FS-St. Louis, MO 1 (4) Iowa State vs 16 UT Martin
FS-St. Louis, MO 2 (6) Illinois vs 15 Austin Peay
TS-Portland, OR 3 (10) Gonzaga vs 14 ETSU
TS-Portland, OR 4 (16) Virginia vs 13 Liberty
West (TS-Las Vegas): (34)
FS-San Diego, CA 1 (2) Arizona vs 16a LIU/Vermont
TS-Buffalo, NY 2 (8) Purdue vs 15 Marshall
FS-Tampa, FL 3 (9) Florida vs 14 Oakland
FS-San Diego, CA 4 (15) Louisville vs 13 Hawaii
East (FS-Washington DC): (32)
TS-Greenville, SC 1 (3) Duke vs 16 Navy
TS-Oklahoma City, OK 2 (5) Houston vs 15 Marist
FS-Philadelphia, PA 3 (11) Michigan State vs 14 St. Thomas
TS-Greenville, SC 4 (13) Vanderbilt vs 13 High Point
Rules followed:
- The top 4 teams in each conference should be in separate regions if possible. (Houston and Illinois swapped, Purdue and UConn swapped, MSU gets the last region, Nebraska the 5th team, Duke-Louisville-Virginia in separate regions, Florida-Vandy in separate regions, Arizona-Iowa State-Houston-Kansas in separate regions)
- The combined sum of seeds should be as close as possible. 32-34-34-36 not bad.
Finally, fill in the rest of the bracket, adhering to the following rules:
- Avoid rematches in the first round.
- Avoid teams that played each other twice in the regular season in the second round (like Illinois and Nebraska, for example)
- Avoid teams that played each other thrice in the regular season in the third round (so like if Illinois/Nebraska played again in the BTT, they would avoid each other in the NCAAs until the E8)
- BYU can't be in a FS region or a FS pod.
- For the other two play-in games, make sure one ends up in a TS pod and one in a FS pod.
First Four - Dayton, OH
Tuesday
16 Bethune-Cookman vs 16 Howard
11 UCF vs 11 USC
Wednesday
16 LIU vs 16 Vermont
12 Oklahoma State vs 12 George Mason
First Round
Midwest (FS-Chicago):
TS-Buffalo, NY
1 Michigan vs 16b Bethune-Cookman/Howard
8 Villanova vs 9 Kentucky
FS-Tampa, FL
4 Kansas vs 13 Utah Valley
5 Tennessee vs 12 Oklahoma State/George Mason
FS-Philadelphia, PA
2 UConn vs 15 Portland State
7 NC State vs 10 UCLA
TS-Oklahoma City, OK
3 Nebraska vs 14 UNC Wilmington
6 Arkansas vs 11 UCF/USC
South (TS-Houston):
FS-St. Louis, MO
1 Iowa State vs 16 UT Martin
8 Clemson vs 9 Wisconsin
TS-Portland, OR
4 Virginia vs 13 Liberty
5 BYU vs 12 Miami OH
FS-St. Louis, MO
2 Illinois vs 15 Austin Peay
7 North Carolina vs 10 Georgia
TS-Portland, OR
3 Gonzaga vs 14 ETSU
6 Alabama vs 11 Belmont
West (TS-Las Vegas):
FS-San Diego, CA
1 Arizona vs 16a LIU/Vermont
8 Texas A&M vs 9 SMU
FS-San Diego, CA
4 Louisville vs 13 Hawaii
5 Texas Tech vs 12 Yale
TS-Buffalo, NY
2 Purdue vs 15 Marshall
7 Auburn vs 10 Miami FL
FS-Tampa, FL
3 Florida vs 14 Oakland
6 St. John's vs 11 New Mexico
East (FS-Washington DC):
TS-Greenville, SC
1 Duke vs 16 Navy
8 Utah State vs 9 St. Mary's
TS-Greenville, SC
4 Vanderbilt vs 13 High Point
5 Iowa vs 12 McNeese
TS-Oklahoma City, OK
2 Houston vs 15 Marist
7 Indiana vs 10 Santa Clara
FS-Philadelphia, PA
3 Michigan State vs 14 St. Thomas
6 Saint Louis vs 11 Tulsa