| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 0.0 | 280 | White | Ryan Johnson | Garden Ridge | 92nd | 2.0 |
| 2 | 0.5 | 268 | Black | Madison Fretwell | Oak Creek | 156th | 0.5 |
| 3 | 1.0 | 259 | White | Harris Gilliam | Hoffman Lane | 127th | 1.5 |
| 4 | 0.5 | 229 | Black | Zachary Niles | Bill Brown | 51st | 3.0 |
| 5 | 1.0 | 240 | White | Gabriel Kantorak | Bill Brown | 96th | 2.0 |
Detailed breakdown of how Nathaniel '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 Nathaniel Garza has played, then discards one of them depending on how Nathaniel Garza is doing.
Nathaniel 's score (3.0 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 | Ryan Johnson | 2.0 | Counted |
| 2 | Madison Fretwell | 0.5 | Discarded |
| 3 | Harris Gilliam | 1.5 | Counted |
| 4 | Zachary Niles | 3.0 | Counted |
| 5 | Gabriel Kantorak | 2.0 | Counted |
| Modified Mean | 8.5 | ||
The Solkoff is the combined score of every opponent Nathaniel Garza has played, with nothing discarded. A higher Solkoff means Nathaniel Garza faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Ryan Johnson | 2.0 |
| 2 | Madison Fretwell | 0.5 |
| 3 | Harris Gilliam | 1.5 |
| 4 | Zachary Niles | 3.0 |
| 5 | Gabriel Kantorak | 2.0 |
| Solkoff | 9.0 | |
The Cumulative tiebreak adds together Nathaniel '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 | 0.0 | 0.0 |
| 2 | 0.5 | 0.5 |
| 3 | 1.0 | 1.5 |
| 4 | 0.5 | 2.0 |
| 5 | 1.0 | 3.0 |
| Cumulative | 7.0 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Nathaniel Garza has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Ryan Johnson | 9.0 |
| 2 | Madison Fretwell | 2.0 |
| 3 | Harris Gilliam | 4.0 |
| 4 | Zachary Niles | 8.5 |
| 5 | Gabriel Kantorak | 7.0 |
| Opponent's Cumulative | 30.5 | |