import time

from sympy import divisors


def timer(func):
    def wrapper(*args, **kwargs):
        start_time = time.time()
        result = func(*args, **kwargs)
        end_time = time.time()
        print(f"Execution time: {end_time - start_time:.6f} seconds")
        return result

    return wrapper


def is_abundant(n: int) -> bool:
    return sum(divisors(n)) > 2 * n


def is_sum_of_two_abundants(n: int) -> bool:
    if n < 24:
        return False
    for i in range(12, n // 2 + 1):
        if is_abundant(i) and is_abundant(n - i):
            return True
    else:
        return False


@timer
def main():
    limit = 28123
    abundant_numbers = [n for n in range(1, limit + 1) if is_abundant(n)]
    non_abundant_sums = set(range(1, limit + 1))
    for i in range(len(abundant_numbers)):
        for j in range(i, len(abundant_numbers)):
            if abundant_numbers[i] + abundant_numbers[j] > limit:
                break
            non_abundant_sums.discard(abundant_numbers[i] + abundant_numbers[j])
    print(sum(non_abundant_sums))


if __name__ == "__main__":
    main()