Detailed breakdown of how Ray'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 [4.0]

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

Ray's score (2.0 of 3.0 possible) is more than 50% of the possible points, so the lowest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Hadley Lambeth	0.0	Discarded
2	Urtaj Singh	1.0	Counted
3	Hoang Le	3.0	Counted
Modified Mean		4.0

S - Solkoff [4.0]

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

Round	Opponent	Opponent's Score
1	Hadley Lambeth	0.0
2	Urtaj Singh	1.0
3	Hoang Le	3.0
Solkoff		4.0

C - Cumulative [5.0]

The Cumulative tiebreak adds together Ray'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
Cumulative		5.0

O - Opponent's Cumulative [9.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Ray Zhang has played.

Round	Opponent	Opponent's Cumulative
1	Hadley Lambeth	0.0
2	Urtaj Singh	3.0
3	Hoang Le	6.0
Opponent's Cumulative		9.0