Pieper HS Tournament This tournament completed October 25th, 2025.

Detailed breakdown of how Daniel'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 [14.0]

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

Daniel'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	Maddox Merino	3.0	Counted
2	Maddox Williams	4.0	Counted
3	Austin Arispe	2.0	Discarded
4	Hayden Davila	3.0	Counted
5	Mason Warner	4.0	Counted
Modified Mean		14.0

S - Solkoff [16.0]

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

Round	Opponent	Opponent's Score
1	Maddox Merino	3.0
2	Maddox Williams	4.0
3	Austin Arispe	2.0
4	Hayden Davila	3.0
5	Mason Warner	4.0
Solkoff		16.0

C - Cumulative [10.0]

The Cumulative tiebreak adds together Daniel'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	1.0	3.0
5	0.0	3.0
Cumulative		10.0

O - Opponent's Cumulative [48.0]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Daniel Butler has played.

Round	Opponent	Opponent's Cumulative
1	Maddox Merino	7.0
2	Maddox Williams	13.0
3	Austin Arispe	6.0
4	Hayden Davila	10.0
5	Mason Warner	12.0
Opponent's Cumulative		48.0