| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 1.0 | 400 | White | Elijah Malloy | Davenport High School | 27th | 2.0 |
| 2 | 1.0 | 400 | Black | Zachary Ellis | Canyon Lake HS | 16th | 3.0 |
| 3 | 1.0 | 402 | White | Jacob Tuckness | Canyon Lake HS | 13th | 3.0 |
| 4 | 1.0 | 401 | Black | Michael Shenouda | Pieper High School | 5th | 4.0 |
| 5 | 0.0 | 400 | White | Massimo Meneses | Pieper High School | 1st | 5.0 |
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 Schroeder has played, then discards one of them depending on how Luke Schroeder is doing.
Luke's score (4.0 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 | Elijah Malloy | 2.0 | Discarded |
| 2 | Zachary Ellis | 3.0 | Counted |
| 3 | Jacob Tuckness | 3.0 | Counted |
| 4 | Michael Shenouda | 4.0 | Counted |
| 5 | Massimo Meneses | 5.0 | Counted |
| Modified Mean | 15.0 | ||
The Solkoff is the combined score of every opponent Luke Schroeder has played, with nothing discarded. A higher Solkoff means Luke Schroeder faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Elijah Malloy | 2.0 |
| 2 | Zachary Ellis | 3.0 |
| 3 | Jacob Tuckness | 3.0 |
| 4 | Michael Shenouda | 4.0 |
| 5 | Massimo Meneses | 5.0 |
| Solkoff | 17.0 | |
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 | 1.0 | 2.0 |
| 3 | 1.0 | 3.0 |
| 4 | 1.0 | 4.0 |
| 5 | 0.0 | 4.0 |
| Cumulative | 14.0 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Schroeder has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Elijah Malloy | 3.0 |
| 2 | Zachary Ellis | 9.0 |
| 3 | Jacob Tuckness | 10.0 |
| 4 | Michael Shenouda | 13.0 |
| 5 | Massimo Meneses | 15.0 |
| Opponent's Cumulative | 50.0 | |