Pieper HS Tournament This tournament completed November 13th, 2021.

Detailed breakdown of how Lucas' 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 Lucas Alvarez has played, then discards one of them depending on how Lucas Alvarez is doing.

Lucas' 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	Elsie Weil	0.0	Discarded
2	Torgerson Archer	3.0	Counted
3	Tyce Tyler	2.5	Counted
4	Andrew Aalsma	3.5	Counted
5	Ethan Demmer	3.5	Counted
Modified Mean		12.5

S - Solkoff [12.5]

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

Round	Opponent	Opponent's Score
1	Elsie Weil	0.0
2	Torgerson Archer	3.0
3	Tyce Tyler	2.5
4	Andrew Aalsma	3.5
5	Ethan Demmer	3.5
Solkoff		12.5

C - Cumulative [13.0]

The Cumulative tiebreak adds together Lucas' 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	0.5	2.5
4	1.0	3.5
5	0.5	4.0
Cumulative		13.0

O - Opponent's Cumulative [40.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Lucas Alvarez has played.

Round	Opponent	Opponent's Cumulative
1	Elsie Weil	0.0
2	Torgerson Archer	9.0
3	Tyce Tyler	10.5
4	Andrew Aalsma	11.5
5	Ethan Demmer	9.5
Opponent's Cumulative		40.5