Pieper HS Tournament This tournament completed October 22nd, 2022.

Detailed breakdown of how Keshav'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 [11.0]

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

Keshav's score (3.5 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	Naravich Po-ngern	2.0	Discarded
2	Jacob Tuckness	2.0	Counted
3	Erick Ortiz	2.0	Counted
4	Zachary Ellis	3.0	Counted
5	Michael Shenouda	4.0	Counted
Modified Mean		11.0

S - Solkoff [13.0]

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

Round	Opponent	Opponent's Score
1	Naravich Po-ngern	2.0
2	Jacob Tuckness	2.0
3	Erick Ortiz	2.0
4	Zachary Ellis	3.0
5	Michael Shenouda	4.0
Solkoff		13.0

C - Cumulative [11.5]

The Cumulative tiebreak adds together Keshav'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	0.5	0.5
2	1.0	1.5
3	1.0	2.5
4	1.0	3.5
5	0.0	3.5
Cumulative		11.5

O - Opponent's Cumulative [38.5]

The Opponent's Cumulative adds together the Cumulative tiebreak of every opponent Keshav Singh has played.

Round	Opponent	Opponent's Cumulative
1	Naravich Po-ngern	4.5
2	Jacob Tuckness	5.0
3	Erick Ortiz	6.0
4	Zachary Ellis	10.0
5	Michael Shenouda	13.0
Opponent's Cumulative		38.5