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.

M - Modified Mean [12.5]

The Modified Mean adds up the scores of every opponent Luke Richard has played, then discards one of them depending on how Luke Richard is doing.

Luke's score (3.5 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	Brady Scarnato-Bennett	2.5	Discarded
2	Joshua Selvester	3.0	Counted
3	Marcus Fountano	4.0	Counted
4	Alexander Engrav	2.5	Counted
5	Will Tomsovic	3.0	Counted
Modified Mean		12.5

S - Solkoff [15.0]

The Solkoff is the combined score of every opponent Luke Richard has played, with nothing discarded. A higher Solkoff means Luke Richard faced tougher opposition.

Round	Opponent	Opponent's Score
1	Brady Scarnato-Bennett	2.5
2	Joshua Selvester	3.0
3	Marcus Fountano	4.0
4	Alexander Engrav	2.5
5	Will Tomsovic	3.0
Solkoff		15.0

C - Cumulative [11.0]

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	0.0	2.0
4	0.5	2.5
5	1.0	3.5
Cumulative		11.0

O - Opponent's Cumulative [46.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Luke Richard has played.

Round	Opponent	Opponent's Cumulative
1	Brady Scarnato-Bennett	6.0
2	Joshua Selvester	8.0
3	Marcus Fountano	14.0
4	Alexander Engrav	9.0
5	Will Tomsovic	9.0
Opponent's Cumulative		46.0