| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 1.0 | 225 | Black | Ezra Scanlan | Comal Creek Elementary | 125th | 1.0 |
| 2 | 0.0 | 219 | Black | Kohen Greene | Comal Creek Elementary | 56th | 3.0 |
| 3 | 0.0 | 224 | White | Jackson Lewey | Startzville | 18th | 4.0 |
| 4 | 1.0 | 240 | Black | Robin Flores | Freiheit | 114th | 1.5 |
| 5 | 0.0 | 226 | White | Annabel King | Farias-Spitzer Elementary | 57th | 3.0 |
Detailed breakdown of how Luke's M-S-C-O tiebreaks were calculated. Tiebreaks are used to order players who finish with the same score, in the order M, then S, then C, then O. Byes have no opponent, so they are listed but not counted in the opponent-based tiebreaks.
The Modified Mean adds up the scores of every opponent Luke Arriaga has played, then discards one of them depending on how Luke Arriaga is doing.
Luke's score (2.0 of 5.0 possible) is less than 50% of the possible points, so the highest opponent score is discarded.
| Round | Opponent | Opponent's Score | Counted? |
|---|---|---|---|
| 1 | Ezra Scanlan | 1.0 | Counted |
| 2 | Kohen Greene | 3.0 | Counted |
| 3 | Jackson Lewey | 4.0 | Discarded |
| 4 | Robin Flores | 1.5 | Counted |
| 5 | Annabel King | 3.0 | Counted |
| Modified Mean | 8.5 | ||
The Solkoff is the combined score of every opponent Luke Arriaga has played, with nothing discarded. A higher Solkoff means Luke Arriaga faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Ezra Scanlan | 1.0 |
| 2 | Kohen Greene | 3.0 |
| 3 | Jackson Lewey | 4.0 |
| 4 | Robin Flores | 1.5 |
| 5 | Annabel King | 3.0 |
| Solkoff | 12.5 | |
The Cumulative tiebreak adds together Luke's running score after each round. Early wins count more, because they carry forward into every later round's total.
| Round | Result | Score After Round |
|---|---|---|
| 1 | 1.0 | 1.0 |
| 2 | 0.0 | 1.0 |
| 3 | 0.0 | 1.0 |
| 4 | 1.0 | 2.0 |
| 5 | 0.0 | 2.0 |
| Cumulative | 7.0 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Arriaga has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Ezra Scanlan | 4.0 |
| 2 | Kohen Greene | 10.0 |
| 3 | Jackson Lewey | 10.0 |
| 4 | Robin Flores | 4.5 |
| 5 | Annabel King | 8.0 |
| Opponent's Cumulative | 36.5 | |