import sys
from itertools import combinations

with open("i24.txt", "r") as f:
    weights = list(map(int, f.readlines()))

total_sum = sum(weights)

indices = list(range(len(weights)))

lowest = None
def find(part_1=True):
    if part_1:
        target_weight = total_sum // 3
    else:
        target_weight = total_sum // 4
    for group_1_size in range(1, len(weights) - 1):
        for group_1_indices in combinations(indices, group_1_size):
            group_1_weight = sum(weights[i] for i in group_1_indices)
            if not group_1_weight == target_weight:
                continue
            remaining_indices = list(set(indices) - set(group_1_indices))
            for group_2_size in range(1, len(remaining_indices) - 1):
                for group_2_indices in combinations(remaining_indices, group_2_size):
                    group_2_weight = sum(weights[i] for i in group_2_indices)
                    if not group_2_weight == target_weight:
                        continue
                    if part_1 :
                        r = 1
                        for i in group_1_indices:
                            r *= weights[i]
                        return r
                    else:
                        remaining_indices = list(set(indices) - set(group_1_indices))
                        for group_3_size in range(1, len(remaining_indices)- 1):
                            for group_3_indices in combinations(remaining_indices, group_3_size):
                                group_3_weight = sum(weights[i] for i in group_3_indices)
                                if not group_3_weight == target_weight:
                                    continue
                                r = 1
                                for i in group_1_indices:
                                    r *= weights[i]
                                return r

print(find(True))
print(find(False))