| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 1.0 | 265 | Black | Oliver Street | Startzville | 148th | 1.0 |
| 2 | 0.0 | 217 | White | Liam Huang | Indian Springs | 13th | 4.0 |
| 3 | 0.0 | 243 | Black | Mauricio Vargas Juarez | Startzville | 24th | 4.0 |
| 4 | 0.5 | 246 | White | Olivia Jones | Specht | 76th | 2.5 |
| 5 | 1.0 | 257 | Black | Garrison Stensrud | Clear Spring | 134th | 1.5 |
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 Arriaga has played, then discards one of them depending on how Luke Arriaga is doing.
Luke's score (2.5 of 5.0 possible) is exactly 50% of the possible points, so every opponent score is counted.
| Round | Opponent | Opponent's Score | Counted? |
|---|---|---|---|
| 1 | Oliver Street | 1.0 | Counted |
| 2 | Liam Huang | 4.0 | Counted |
| 3 | Mauricio Vargas Juarez | 4.0 | Counted |
| 4 | Olivia Jones | 2.5 | Counted |
| 5 | Garrison Stensrud | 1.5 | Counted |
| Modified Mean | 13.0 | ||
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 | Oliver Street | 1.0 |
| 2 | Liam Huang | 4.0 |
| 3 | Mauricio Vargas Juarez | 4.0 |
| 4 | Olivia Jones | 2.5 |
| 5 | Garrison Stensrud | 1.5 |
| 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 | 0.0 | 1.0 |
| 4 | 0.5 | 1.5 |
| 5 | 1.0 | 2.5 |
| 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 | Oliver Street | 3.5 |
| 2 | Liam Huang | 13.0 |
| 3 | Mauricio Vargas Juarez | 10.0 |
| 4 | Olivia Jones | 7.0 |
| 5 | Garrison Stensrud | 4.5 |
| Opponent's Cumulative | 38.0 | |