Drop rate bonus based on party level

# NOTE: All divisions here are integer divisions (ie: 10/3 = 3)

def get_party_avg_level():
  chars = get_number_chars_unlocked() # caps at 56
  avg = 0
  for member in frontline:
    avg = avg + member.level
  if (chars >= 12):
    return (avg / 12)
  else:
    # take the average based on how many chars you can have in party of 12
    return (avg / chars)

lv = get_enemy_level() # NOT the challenge level, actual enemy level
avg = get_party_avg_level()
multiplier = 100

# This bonus has a hard cap
cap_bonus = 100 - ((avg * 100) / lv)
cap_bonus = (cap_bonus / 3) * 10

# This bonus has no cap
lv_bonus = (lv - avg) * 12

# If either result was less than 0, make it zero
cap_bonus = max(cap_prob, 0)
lv_bonus = max(lv_prob, 0)

# Add the lesser bonus to the multiplier
final_bonus = min(cap_bonus, lv_bonus)
multiplier = multiplier + final_bonus

for drop_item_slot in get_enemy_drop_item_slots():
  drop_chance = drop_item_slot.chance # Chance of dropping this item
  final_prob = drop_chance * multiplier / 100
  r = random(10000) # random number 0-9999
  if (r < final_prob):
    drop_item_for_player()

"""
EXAMPLES

Kraken (Lv25) dropping a Toadstoolshed (3333 chance), party average Lv19:
cap_bonus = 100 - ((19 * 100) / 25) = 24
cap_bonus = (24 / 3) * 10 = 80
lv_bonus = (25 - 19) * 12 = 72
final_bonus = min(80, 72) = 72
final_prob = 3333 * (100 + 72) / 100 = 5732
You increased the drop rate from 33.33% to 57.32%

Kraken (Lv25) dropping a Toadstoolshed (3333 chance), party average Lv1:
cap_bonus = 100 - ((1 * 100) / 25) = 96
cap_bonus = (96 / 3) * 10 = 320
lv_bonus = (25 - 1) * 12 = 288
final_bonus = min(320, 288) = 288
final_prob = 3333 * (100 + 288) / 100 = 12932
You increased the drop rate from 33.33% to 100%

Kraken (Lv25) dropping a Toadstoolshed (3333 chance), party average Lv40:
cap_bonus = 100 - ((40 * 100) / 25) = -60
cap_bonus = (96 / 3) * 10 = -200 (gets set to 0)
lv_bonus = (25 - 40) * 12 = -180 (gets set to 0)
final_bonus = min(0, 0) = 0
final_prob = 3333 * (100 + 0) / 100 = 3333
Drop rate not altered

> Because of how the functions are defined, you can rewrite the formulas for cap_bonus and lv_bonus as follows:
cap_bonus = (1 - x) * 1000 / 3
lv_bonus = (1 - x) * 12 * lv
Where x is the fraction (avg / lv)
Therefore, if x is 1 or higher, the drop rate will not be altered
If it is less than 1, then which formula takes priority depends only on the enemy level
Since 12 * lv > 1000 / 3 for lv >= 28, we use lv_bonus for enemies up to Lv27, and cap_bonus for Lv28 onwards
It follows that the highest bonus you can receive is when the fraction is rounded to 0 for cap_bonus: 1000 / 3 = 333

> Other factors change the multiplier value before this part of the code execute. You can see a list of them below:

# of Items Discovery Weekly held: +2 for each, up to +100
# of Explorer King's Legend held: +2 for each, up to +100
# of consecutive battles in dungeon: +2 for each battle, caps at:
  +100 before pillar of light
  +250 after pillar of light in regular dungeon
  +1000 after pillar of light in infinity corridor

If any character in frontline has Gensokyo's Shopkeeper learned: +4 for each Skill Level
Otherwise, if any character in backlines has Gensokyo's Shopkeeper learned: +1 for each Skill Level

If any character in frontline has Dowsing learned: +20 for each Skill Level
Otherwise, if any character in backlines has Dowsing learned: +5 for each Skill Level

If any character in frontline has Ability to Gather Treasures learned: +10 for each Skill Level (+5 for each Skill Level of More and More Treasures if also learned)
Otherwise, if any character in backlines has Ability to Gather Treasures learned: +3 for each Skill Level (+2 for each Skill Level if More and More Treasures if also learned)

If any character in frontline has Kappa's Material Aesthetica learned: +20 for each Skill Level

For each frontliner with Aesthetic Sense learned: +2 for each Skill Level
For each backliner with Aesthetic Sense learned: +2

> Some spells and skills also change the drop rate upon ko, but act directly on the enemy's dropped item slot's drop chance. These spells and effects are listed below:

If the character has Kill Bonus: Drops learned, increase drop chances by 1/6 of its value
If the character has Kappa's Material Aesthetica learned, increase drop chances by 40%
If the spell used was Rare Metal Detector, double drop chances
If the character has a Luck and Pluck equipped, increase drop chances by 20%
If the character has Kill Bonus: Drops learned, increase drop chances by 1/5 of its value [Bug? Why does it do this again?]
If the spell used was Radiant Treasure Gun, increase drop chances by 25% [40% if More and More Treasures learned]

EXAMPLE

Kraken dropping a Toadstoolshed (3333 chance), killed by Appraiser Nazrin's Rare Metal Detector:
Base chance = 3333
After Kill bonus: Drops 1/6 bonus: (3333 * 1.16) = 3888
After Rare Metal Detector bonus: (3888 * 2) = 7776
After Kill Bonus: Drops 1/5 bonus: (7776 * 1.2) = 9331
You increased the drop rate from 33.33% to 93.31%
"""