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

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

Naravich'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	Samuel Cornett	2.0	Discarded
2	Dakota Fisher	3.0	Counted
3	Zachery Rich	3.0	Counted
4	Michael Shenouda	4.0	Counted
5	Troy Okhiria	2.0	Counted
Modified Mean		12.0

S - Solkoff [14.0]

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

Round	Opponent	Opponent's Score
1	Samuel Cornett	2.0
2	Dakota Fisher	3.0
3	Zachery Rich	3.0
4	Michael Shenouda	4.0
5	Troy Okhiria	2.0
Solkoff		14.0

C - Cumulative [9.0]

The Cumulative tiebreak adds together Naravich'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	0.0	1.0
3	1.0	2.0
4	0.0	2.0
5	1.0	3.0
Cumulative		9.0

O - Opponent's Cumulative [35.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Naravich Pongern has played.

Round	Opponent	Opponent's Cumulative
1	Samuel Cornett	4.0
2	Dakota Fisher	11.0
3	Zachery Rich	8.0
4	Michael Shenouda	11.0
5	Troy Okhiria	9.0
Opponent's Cumulative		43.0