#!/usr/bin/env python import sys from copy import deepcopy from typing import List def solve(input: List[int]) -> int: def highest_pow2(n: int) -> int: return len(bin(n)) - 2 - 1 # '0b' prefix, and off-by-one def count_bits_at(input: List[int], bit: int) -> int: return sum((n & pow(2, bit)) != 0 for n in input) def filter_by_bit_value(input: List[int], bit: int, value: int) -> List[int]: # Simplify the filter by mapping the value to the actual power of 2 if value != 0: value = pow(2, bit) return list(filter(lambda n: (n & pow(2, bit)) == value, input)) def filter_oxygen(input: List[int], bit: int) -> List[int]: # No further processing needed if len(input) <= 1: return input num_bits = count_bits_at(input, bit) # Keep 1s on equality if num_bits >= len(input) / 2: return filter_by_bit_value(input, bit, 1) else: return filter_by_bit_value(input, bit, 0) def filter_co2(input: List[int], bit: int) -> List[int]: # No further processing needed if len(input) <= 1: return input num_bits = count_bits_at(input, bit) # Keep 0s on equality if num_bits < len(input) / 2: return filter_by_bit_value(input, bit, 1) else: return filter_by_bit_value(input, bit, 0) oxygen, co2 = 0, 0 max_bit = max(highest_pow2(n) for n in input) oxygen_input, co2_input = deepcopy(input), deepcopy(input) for bit in range(max_bit, -1, -1): oxygen_input = filter_oxygen(oxygen_input, bit) co2_input = filter_co2(co2_input, bit) if len(oxygen_input) == 1: oxygen = oxygen_input[0] if len(co2_input) == 1: co2 = co2_input[0] return oxygen * co2 def main() -> None: input = [int(line, 2) for line in sys.stdin.readlines()] print(solve(input)) if __name__ == "__main__": main()