#!/usr/bin/env python import itertools import math import sys def solve(input: str) -> int: def parse(input: str) -> list[int]: return [int(n) for n in input.splitlines()] def package_groups(packages: list[int]) -> tuple[list[int], list[int], list[int]]: assert sum(packages) % 3 == 0 # Sanity check target_weight = sum(packages) // 3 # I'm lazy, a brute-force double loop is good enough for first_len in range(1, len(packages) + 1): for perm in itertools.combinations(range(len(packages)), first_len): first = [packages[p] for p in perm] if sum(first) != target_weight: continue others = [p for i, p in enumerate(packages) if i not in perm] for sec_len in range(1, len(others) + 1): for perm in itertools.combinations(range(len(others)), sec_len): second = [others[p] for p in perm] if sum(second) != target_weight: continue last = [p for i, p in enumerate(others) if i not in perm] return first, second, last assert False # Sanity check def quantum_entanglement(packages: list[int]) -> int: return math.prod(packages) packages = parse(input) best_split = package_groups(packages) return quantum_entanglement(best_split[0]) def main() -> None: input = sys.stdin.read() print(solve(input)) if __name__ == "__main__": main()