| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 1.0 | 316 | Black | Baron Ewald | SVMS | 30th | 1.0 |
| 2 | 0.0 | 300 | White | Mason Mock | Spring Branch | 1st | 5.0 |
| 3 | 0.5 | 304 | Black | Nicholas Finley | Spring Branch | 8th | 3.5 |
| 4 | 1.0 | 310 | Black | Diego Cornel | SVMS | 31st | 1.0 |
| 5 | 1.0 | 306 | White | Tony Medellin | Canyon Middle School | 19th | 2.5 |
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 Brandner has played, then discards one of them depending on how Luke Brandner is doing.
Luke's score (3.5 of 5.0 possible) is more than 50% of the possible points, so the lowest opponent score is discarded.
| Round | Opponent | Opponent's Score | Counted? |
|---|---|---|---|
| 1 | Baron Ewald | 1.0 | Discarded |
| 2 | Mason Mock | 5.0 | Counted |
| 3 | Nicholas Finley | 3.5 | Counted |
| 4 | Diego Cornel | 1.0 | Counted |
| 5 | Tony Medellin | 2.5 | Counted |
| Modified Mean | 12.0 | ||
The Solkoff is the combined score of every opponent Luke Brandner has played, with nothing discarded. A higher Solkoff means Luke Brandner faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Baron Ewald | 1.0 |
| 2 | Mason Mock | 5.0 |
| 3 | Nicholas Finley | 3.5 |
| 4 | Diego Cornel | 1.0 |
| 5 | Tony Medellin | 2.5 |
| Solkoff | 13.0 | |
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 | 0.5 | 1.5 |
| 4 | 1.0 | 2.5 |
| 5 | 1.0 | 3.5 |
| Cumulative | 9.5 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Brandner has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Baron Ewald | 3.0 |
| 2 | Mason Mock | 15.0 |
| 3 | Nicholas Finley | 12.5 |
| 4 | Diego Cornel | 4.0 |
| 5 | Tony Medellin | 9.0 |
| Opponent's Cumulative | 43.5 | |