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def is_valid_entry(ent: tuple[int, list[int]], current_result: int = 0, current_index: int = 0) -> bool:
if current_index == 0:
current_result += ent[1][current_index]
return is_valid_entry(ent, current_result, current_index + 1)
if current_index >= len(ent[1]):
if current_result == ent[0]:
return True
return False
new_result = current_result + ent[1][current_index]
if new_result <= ent[0]:
if is_valid_entry(ent, new_result, current_index + 1):
return True
new_result = current_result * ent[1][current_index]
if new_result <= ent[0]:
if is_valid_entry(ent, new_result, current_index + 1):
return True
return False
entries = []
with open("input") as f:
for line in f:
line = line.strip()
split = line.split(": ")
entries.append((int(split[0]), [int(elem) for elem in split[1].split(" ")]))
result = 0
for entry in entries:
if is_valid_entry(entry):
result += entry[0]
print(result)
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