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#!/usr/bin/env python3
import itertools
import math
SHOP = [
("Weapon", 8, 4, 0),
("Weapon", 10, 5, 0),
("Weapon", 25, 6, 0),
("Weapon", 40, 7, 0),
("Weapon", 74, 8, 0),
("Armor", 0, 0, 0),
("Armor", 13, 0, 1),
("Armor", 31, 0, 2),
("Armor", 53, 0, 3),
("Armor", 75, 0, 4),
("Armor", 102, 0, 5),
("Ring", 0, 0, 0),
("Ring", 0, 0, 0),
("Ring", 25, 1, 0),
("Ring", 50, 2, 0),
("Ring", 100, 3, 0),
("Ring", 20, 0, 1),
("Ring", 40, 0, 2),
("Ring", 80, 0, 3),
]
def wins(d: int, hp: int) -> bool:
turns = hp / d
if turns > int(turns):
turns = math.ceil(turns)
return (turns - 1) * d < 100
def valid(e: tuple[tuple[str, int, int, int], ...]) -> bool:
w = a = r = 0
for i in e:
match i[0]:
case "Weapon":
w += 1
case "Armor":
a += 1
case "Ring":
r += 1
return (w == 1) and (a <= 1) and (r <= 2)
def main() -> None:
with open("input", "r", encoding="utf-8") as f:
b_health, b_damage, b_armor = f.readlines()
b_health = int(b_health.strip().split(": ")[1])
b_damage = int(b_damage.strip().split(": ")[1])
b_armor = int(b_armor.strip().split(": ")[1])
# START PART 1
min_cost = float('inf')
# END PART 1 START PART 2
max_cost = 0
# END PART 2
for combs in [itertools.combinations(SHOP, i) for i in range(1, 5)]:
for comb in list(filter(valid, combs)):
cost = sum(x[1] for x in comb)
damage = sum(x[2] for x in comb)
armor = sum(x[3] for x in comb)
delta = (damage - b_armor) - (b_damage - armor)
# START PART 1
if (delta > 0) or ((delta == 0) and wins(damage - b_armor, b_health)):
min_cost = min(cost, min_cost)
# END PART 1 START PART 2
if (delta < 0) or ((delta == 0) and not wins(damage - b_armor, b_health)):
max_cost = max(cost, max_cost)
# END PART 2
# START PART 1
print(min_cost)
# END PART 1 START PART 2
print(max_cost)
# END PART 2
if __name__ == "__main__":
main()
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