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#!/usr/bin/env python3
import itertools
import re
from math import prod
def main() -> None:
# START PART 1
GROUPS = 5
# END PART 1 START PART 2
GROUPS = 6
# END PART 2
data: list[list[int]] = []
with open("input", "r", encoding="utf-8") as f:
for line in f.readlines():
m = re.match(
# START PART 1
r"[^\-0-9]+([\-0-9]+)[^\-0-9]+([\-0-9]+)[^\-0-9]+([\-0-9]+)[^\-0-9]+([\-0-9]+)",
# END PART 1 START PART 2
r"[^\-0-9]+([\-0-9]+)[^\-0-9]+([\-0-9]+)[^\-0-9]+([\-0-9]+)[^\-0-9]+([\-0-9]+)[^\-0-9]+([0-9]+)",
# END PART 2
line,
)
data.append(list(map(int, [m.group(i) for i in range (1, GROUPS)])))
total = 0
for i in range(100):
for j in range(100 - i):
for k in range(100 - i - j):
if i + j + k > 100:
continue
h = 100 - i - j - k
# START PART 2
if data[0][4] * i + data[1][4] * j + data[2][4] * k + data[3][4] * h != 500:
continue
# END PART 2
parts = [
data[0][0] * i + data[1][0] * j + data[2][0] * k + data[3][0] * h,
data[0][1] * i + data[1][1] * j + data[2][1] * k + data[3][1] * h,
data[0][2] * i + data[1][2] * j + data[2][2] * k + data[3][2] * h,
data[0][3] * i + data[1][3] * j + data[2][3] * k + data[3][3] * h,
]
if not any(map(lambda x: x < 0, parts)):
total = max(total, prod(parts))
print(total)
if __name__ == "__main__":
main()
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