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

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

Yamil's score (3.0 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	Everett Shopoff	1.5	Discarded
2	Joshua Ataee	3.0	Counted
3	Hudson Shopoff	1.5	Counted
4	Kade Lundquist	4.5	Counted
5	Austin Peace	3.0	Counted
Modified Mean		12.0

S - Solkoff [13.5]

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

Round	Opponent	Opponent's Score
1	Everett Shopoff	1.5
2	Joshua Ataee	3.0
3	Hudson Shopoff	1.5
4	Kade Lundquist	4.5
5	Austin Peace	3.0
Solkoff		13.5

C - Cumulative [10.5]

The Cumulative tiebreak adds together Yamil'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	0.5	1.5
3	1.0	2.5
4	0.0	2.5
5	0.5	3.0
Cumulative		10.5

O - Opponent's Cumulative [41.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Yamil Marrero has played.

Round	Opponent	Opponent's Cumulative
1	Everett Shopoff	5.0
2	Joshua Ataee	8.5
3	Hudson Shopoff	6.5
4	Kade Lundquist	13.5
5	Austin Peace	7.5
Opponent's Cumulative		41.0