Templating system

Signed-off-by: prescientmoon <git@moonythm.dev>

content/arcaea.dj

@@ -1,3 +1,7 @@
+``` =toml
+created-at: 2024-10-31 15:28
+```
+
 # Why I love arcaea
 
 ## What is arcaea
@@ -32,19 +36,12 @@ Let's write the score formula in a nice, closed form!
 
 Let $`m`, $`p`, $`f` and $`l` denote the amount of MAX PURE, PURE, FAR and LOST notes respectively. The final score can then be computed as
 
-$$`\left\lfloor (2(m + p) + f) \frac{10'000'000}{2(m + p + f)} \right\rfloor`
+$$`m + \left\lfloor (2(m + p) + f) \frac{10'000'000}{2(m + p + f + l)} \right\rfloor`
 :::
 
-{.label="Lagrange's extras: ζ-scoring"}
-:::: in-depth
-::: in-depth-header
-![lagrange](../assets/icons/lagrange.webp){.in-depth-icon}
-
-{.in-depth-heading}
-### EX scoring
-:::
-
-But what if we wanted MAX PURE notes to have a more major contribution to the score? For one, we could start by giving them their own place in the scoring ratio. What would a good ratio look like? A naive approach idea would be to keep the same rate of growth and go with a ratio of 4\:2\:1 for MAX PURE to PURE to FAR. Sadly, issues arise because this can lead to PMs possibly producing terrible scores — it's too big of a departure from the original formula. It turns out the aforementioned [sound voltex](https://en.wikipedia.org/wiki/Sound_Voltex) has already figured out a solution with their optional "EX-scoring" system, which uses a ratio of 5\:4\:2, thus awarding 1.25x the normal points for a MAX PURE.
+{title="Lagrange's extras: ζ-scoring" character="lagrange"}
+::: aside
+UWAAA, but what if we wanted MAX PURE notes to have a more major contribution to the score? For one, we could start by giving them their own place in the scoring ratio. What would a good ratio look like? A naive approach idea would be to keep the same rate of growth and go with a ratio of 4\:2\:1 for MAX PURE to PURE to FAR. Sadly, issues arise because this can lead to PMs possibly producing terrible scores — it's too big of a departure from the original formula. It turns out the aforementioned [sound voltex](https://en.wikipedia.org/wiki/Sound_Voltex) has already figured out a solution with their optional "EX-scoring" system, which uses a ratio of 5\:4\:2, thus awarding 1.25x the normal points for a MAX PURE.
 
 Calling this "EX-scoring" in the context of Arcaea would be confusing (EX being an in-game grade and all), hence I decided to call the Arcaea equivalent of the system "ζ-scoring". In particular, we can compute the ζ-score by only knowing the base score and the number of notes in the chart (call it $`n`) as follows:
 
@@ -53,7 +50,7 @@ Calling this "EX-scoring" in the context of Arcaea would be confusing (EX being
 3. Double the quotient from step 2 and add the remainder to form the final expression of $`5m + 4p + 2f`, which can then be scaled up so $`10,000,000` is the maximum score again.
 
 With a bit of care put into working around the floor function in the actual scoring formula, and performing the computations in a manner that avoids any risks of floating point arithmetic errors, one can implement a very reliable score converter. For instance, the score tracking Arcaea discord bot I'm developing has ζ-scoring well-integrated into everything!
-:::::
+:::
 {% ]]] %}
 
 #### Why arcaea's scoring rocks