| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 0.0 | 233 | White | Kellen Gibson | Kinder Ranch | 49th | 3.0 |
| 2 | 0.0 | 249 | Black | Caleb Kaplan | Garden Ridge | 91st | 2.0 |
| 3 | 0.0 | 264 | White | Alexander Gandara | Freiheit | 128th | 1.0 |
| 4 | 0.5 | 264 | Black | Sarah Benson | Morningside | 119th | 1.5 |
| 5 | 0.0 | 260 | White | Nixon Potter | Morningside | 100th | 2.0 |
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 Carrasco has played, then discards one of them depending on how Luke Carrasco is doing.
Luke's score (0.5 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 | Kellen Gibson | 3.0 | Discarded |
| 2 | Caleb Kaplan | 2.0 | Counted |
| 3 | Alexander Gandara | 1.0 | Counted |
| 4 | Sarah Benson | 1.5 | Counted |
| 5 | Nixon Potter | 2.0 | Counted |
| Modified Mean | 6.5 | ||
The Solkoff is the combined score of every opponent Luke Carrasco has played, with nothing discarded. A higher Solkoff means Luke Carrasco faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Kellen Gibson | 3.0 |
| 2 | Caleb Kaplan | 2.0 |
| 3 | Alexander Gandara | 1.0 |
| 4 | Sarah Benson | 1.5 |
| 5 | Nixon Potter | 2.0 |
| Solkoff | 9.5 | |
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 | 0.0 | 0.0 |
| 2 | 0.0 | 0.0 |
| 3 | 0.0 | 0.0 |
| 4 | 0.5 | 0.5 |
| 5 | 0.0 | 0.5 |
| Cumulative | 1.0 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Carrasco has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Kellen Gibson | 10.0 |
| 2 | Caleb Kaplan | 7.0 |
| 3 | Alexander Gandara | 3.0 |
| 4 | Sarah Benson | 2.0 |
| 5 | Nixon Potter | 4.0 |
| Opponent's Cumulative | 26.0 | |