Pieper HS Tournament This tournament completed October 21st, 2023.

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 [8.5]

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

Luke's score (1.0 of 5.0 possible) is less than 50% of the possible points, so the highest opponent score is discarded.

Round	Opponent	Opponent's Score	Counted?
1	Jackson Way	3.0	Discarded
2	Michael Ritz	1.0	Counted
3	Lilliana Berg	3.0	Counted
4	Daniel Reahm	2.0	Counted
5	Kynzlee Patton	2.5	Counted
Modified Mean		8.5

S - Solkoff [11.5]

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

Round	Opponent	Opponent's Score
1	Jackson Way	3.0
2	Michael Ritz	1.0
3	Lilliana Berg	3.0
4	Daniel Reahm	2.0
5	Kynzlee Patton	2.5
Solkoff		11.5

C - Cumulative [4.0]

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	0.0	0.0
2	1.0	1.0
3	0.0	1.0
4	0.0	1.0
5	0.0	1.0
Cumulative		4.0

O - Opponent's Cumulative [33.0]

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

Round	Opponent	Opponent's Cumulative
1	Jackson Way	9.0
2	Michael Ritz	2.0
3	Lilliana Berg	10.5
4	Daniel Reahm	5.0
5	Kynzlee Patton	6.5
Opponent's Cumulative		33.0