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== CTF Rating Points

$
(p/b + 1/t) * w
$

- $p$ is the points of your team
- $b$ is the points of the first team
- $t$ is the position of your team
- $w$ is the rating of the CTF

=== Remarks

- At maximum you can get $2*w$ as points from a CTF
  - $w$ for being the first team in the CTF
  - $w$ for getting the same points as the first team (in case of tie)

- You get points from two things (formula below):
  - Team points compared to first team (ratio, maximum $1$)
  - Team position in leaderboard (ratio, maximum $1$)

$
w * p/b + w * 1/t
$

- A high rating CTF that its easy (and gets full cleared) gives a lot of points (more than $w$)
  - Usually it will get downvoted to lower the rating for next year
  - See https://ctftime.org/event/2641

== CTFTime Team Rating

Add the $10$ highest CTF Rating Points for the team during a period (during the
current year)

and, if you organized a CTF, then you add $2 dot w$ to your rating sum (not documented)

Time window note from CTFTime:

> time window of 18 months used b/c event time can shift within a year.

== Calculator

```py
#!/usr/bin/env -S uv run --script

from math import floor

# Get user inputs
team_points = float(input("[>] Team points: "))
best_points = float(input("[>] Best points: "))
team_place = float(input("[>] Team place: "))
total_teams = float(input("[>] Total teams: "))
weight = float(input("[>] Weight: "))

# Calculate coefficients
points_coef = team_points / best_points
place_coef = 1 / team_place

# Calculate and display rating
if points_coef > 0:
  e_rating = (points_coef + place_coef) * weight
  print(f"[+] Final rating: {e_rating:.3f}")
  print(f"Part of points:    {points_coef * weight}")
  print(f"Part of placement: {place_coef  * weight}")
else:
  print("[!] No points")