Change modifier to 80 for Game of Tones contest (#1010)

* Add files via upload

* Change modifier to 70 for Game of Tones contest

Change the token penalty modifier to 70 for Contest C6 Game of Tones, NUS SA 23/24 Sem 1.

Note: In the future, proposed implementation is to have the token penalty modifier inserted in the contest voting file as a parameter at the point of upload.

* Update assessments_test.exs

* Fix incorrect denominator to 80

---------

Co-authored-by: Richard Dominick <[email protected]>

lib/cadet/assessments/assessments.ex

@@ -1216,11 +1216,12 @@ defmodule Cadet.Assessments do
   end
 
   # Calculate the score based on formula
-  # score(v,t) = v - 2^(t/50) where v is the normalized_voting_score
+  # score(v,t) = v - 2^(t/n) where v is the normalized_voting_score and n is the modifier
+  # n = 50 for C3 & C4, n = 80 for C6
   # normalized_voting_score = sum_of_scores / number_of_voters / 10 * 100
   defp calculate_formula_score(sum_of_scores, number_of_voters, tokens) do
     normalized_voting_score = sum_of_scores / number_of_voters / 10 * 100
-    normalized_voting_score - :math.pow(2, min(1023.5, tokens / 50))
+    normalized_voting_score - :math.pow(2, min(1023.5, tokens / 80))
   end
 
   @doc """

test/cadet/assessments/assessments_test.exs

@@ -1708,10 +1708,11 @@ defmodule Cadet.AssessmentsTest do
   end
 
   defp expected_top_relative_scores(top_x) do
+    # test with token penalty of 80
     # "return 0;" in the factory has 3 token
     10..0
     |> Enum.to_list()
-    |> Enum.map(fn score -> 10 * score - :math.pow(2, 3 / 50) end)
+    |> Enum.map(fn score -> 10 * score - :math.pow(2, 3 / 80) end)
     |> Enum.take(top_x)
   end
 end