| Round | Result | Board | Color | Opponent | |||
|---|---|---|---|---|---|---|---|
| Name | School | Rank | Score | ||||
| 1 | 0.0 | 221 | White | Asher Lippe | Clear Spring | 11th | 4.0 |
| 2 | 1.0 | 243 | White | Connor Hinojosa | Rahe | 65th | 3.0 |
| 3 | 0.0 | 233 | Black | Owen Weil | Rahe | 34th | 3.0 |
| 4 | 1.0 | 244 | White | Hayden Doherty | Indian Springs | 102nd | 2.0 |
| 5 | 1.0 | 236 | White | Hayden Humphrey | Garden Ridge | 93rd | 2.0 |
Detailed breakdown of how Paulie'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 Paulie Alvarado has played, then discards one of them depending on how Paulie Alvarado is doing.
Paulie'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 | Asher Lippe | 4.0 | Counted |
| 2 | Connor Hinojosa | 3.0 | Counted |
| 3 | Owen Weil | 3.0 | Counted |
| 4 | Hayden Doherty | 2.0 | Discarded |
| 5 | Hayden Humphrey | 2.0 | Counted |
| Modified Mean | 12.0 | ||
The Solkoff is the combined score of every opponent Paulie Alvarado has played, with nothing discarded. A higher Solkoff means Paulie Alvarado faced tougher opposition.
| Round | Opponent | Opponent's Score |
|---|---|---|
| 1 | Asher Lippe | 4.0 |
| 2 | Connor Hinojosa | 3.0 |
| 3 | Owen Weil | 3.0 |
| 4 | Hayden Doherty | 2.0 |
| 5 | Hayden Humphrey | 2.0 |
| Solkoff | 14.0 | |
The Cumulative tiebreak adds together Paulie'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 | 1.0 | 1.0 |
| 3 | 0.0 | 1.0 |
| 4 | 1.0 | 2.0 |
| 5 | 1.0 | 3.0 |
| Cumulative | 7.0 | |
The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Paulie Alvarado has played.
| Round | Opponent | Opponent's Cumulative |
|---|---|---|
| 1 | Asher Lippe | 13.0 |
| 2 | Connor Hinojosa | 6.0 |
| 3 | Owen Weil | 10.0 |
| 4 | Hayden Doherty | 6.0 |
| 5 | Hayden Humphrey | 7.0 |
| Opponent's Cumulative | 42.0 | |