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

Detailed breakdown of how Liam'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 [16.0]

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

Liam's score (2.5 of 5.0 possible) is exactly 50% of the possible points, so every opponent score is counted.

Round	Opponent	Opponent's Score	Counted?
1	dominick ramirez	2.0	Counted
2	Ezra Hernandez	2.0	Counted
3	Andrew Aalsma	3.5	Counted
4	Daniel Reahm	3.5	Counted
5	Cade Pipkin	5.0	Counted
Modified Mean		16.0

S - Solkoff [16.0]

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

Round	Opponent	Opponent's Score
1	dominick ramirez	2.0
2	Ezra Hernandez	2.0
3	Andrew Aalsma	3.5
4	Daniel Reahm	3.5
5	Cade Pipkin	5.0
Solkoff		16.0

C - Cumulative [10.5]

The Cumulative tiebreak adds together Liam'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	0.5	2.5
4	0.0	2.5
5	0.0	2.5
Cumulative		10.5

O - Opponent's Cumulative [45.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Liam Huang has played.

Round	Opponent	Opponent's Cumulative
1	dominick ramirez	5.0
2	Ezra Hernandez	7.0
3	Andrew Aalsma	11.5
4	Daniel Reahm	11.5
5	Cade Pipkin	15.0
Opponent's Cumulative		50.0