Scoring Algorithm

The scoring algorithm (SA) is the method used to rank teams. This article describes the default scoring algorithm. Certain scoring settings can be changed, see Scoring Properties.

How teams are ranked

Each contest has its own rules about how the teams are ranked. This article describes the default way that PC² ranks teams.

Teams are rank based on the following:

1. the team solving most problems
2. tie-breaker 1: lowest penalty points
3. tie-breaker 2: fastest last yes judgement run

Within a rank, PC² will sort the team names lexically then by number at end of name, if names are identical. For example team10 will be after team2, a lexical sort would order team2 after team10.

Penalty Points

The default PC² scoring algorithm calculates penalty points as follows:

For each Solved problem (Yes judgement):

• 20 points for each No judgement before the first Yes judgement
• 1 point per minute the elapsed time

No penalty points are added for any runs a problem that is not solved.

Example 1

Standings

Rank	Team Name	Solved	Points
1	team3	3	126
2	team1	1	70
3	team2	1	70
4	team4	0	0

Example runs

Team	Problem	Elapsed time	Judgement
team1	A	12	No
team1	A	22	No
team1	A	30	Yes
team2	D	12	No
team2	D	50	Yes
team3	A	22	Yes
team3	C	49	Yes
team3	B	55	Yes
team4	B	23	No

Tie Breaker: Team 1 is rank 2 because the last Yes judgment was at elapsed time as 30 minutes, whereas Team 2 last Yes judgment was at elapsed time as 50 minutes.

Team 3's Penalty Points details

Penalty points for Problem A: 22

Penalty points for Problem B: 55

Penalty points for Problem C: 49

Team 1's Penalty Points details

Penalty points for Problem A: 70 = 30 + (20 * 2)

Penalty points for Problem B: 0 (not solved)

Penalty points for Problem C: 0 (not solved)

Team 2's Penalty Points details

Penalty points for Problem A: 70 = 50 + (20 * 1)

Penalty points for Problem B: 0 (not solved)

Penalty points for Problem C: 0 (not solved)

Team 4's Penalty Points details

Penalty points for Problem A: 0 (not solved)

Penalty points for Problem B: 0 (not solved)

Penalty points for Problem C: 0 (not solved)

Example 2

Standings

Rank	Team Name	Solved	Points
1	team5	3	460
2	team1	0	0
2	team2	0	0
2	team3	0	0
2	team4	0	0

Example runs

Team	Problem	Elapsed time	Judgement
team5	A	10	No
team5	B	22	No
team5	A	40	No
team5	D	41	No
team5	B	45	Yes
team5	B	50	No
team5	D	72	No
team5	D	140	Yes
team5	C	215	Yes

In this example team5 has solved 3 problems with 460 penalty points.

Penalty points for Problem A: 0 (not solved)

Penalty points for Problem B: 65 = 45 + (20 * 1)

Penalty points for Problem C: 215 = 215

Penalty points for Problem D: 180 = 140 + (20 * 2)

See Also

• No Judgement
• Yes Judgement
• Run Flow
• Judgement
• Scoreboard Freeze
• Scoring Properties