Detailed breakdown of how Ryan '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 [12.0]

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

Ryan '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	Lawrence Fellbaum	2.5	Counted
2	Caleb Chasney	1.0	Discarded
3	Noah Aguilar	4.0	Counted
4	Meredith Bone	3.0	Counted
5	Alexander Engrav	2.5	Counted
Modified Mean		12.0

S - Solkoff [13.0]

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

Round	Opponent	Opponent's Score
1	Lawrence Fellbaum	2.5
2	Caleb Chasney	1.0
3	Noah Aguilar	4.0
4	Meredith Bone	3.0
5	Alexander Engrav	2.5
Solkoff		13.0

C - Cumulative [12.0]

The Cumulative tiebreak adds together Ryan '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	1.0	3.0
5	1.0	4.0
Cumulative		12.0

O - Opponent's Cumulative [40.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Ryan Alvarado has played.

Round	Opponent	Opponent's Cumulative
1	Lawrence Fellbaum	7.5
2	Caleb Chasney	5.0
3	Noah Aguilar	13.0
4	Meredith Bone	9.0
5	Alexander Engrav	9.0
Opponent's Cumulative		43.5