
    Design a function for an adaptive learning platform that calculates the total sum of all paired student performance scores where each score up to a given maximum limit has a unique partner score, and the sum of factors for each score equals its partner. This pattern recognition system helps identify mathematical relationships between numbers, where the sum of proper divisors of one number equals the other number and vice versa, to dynamically adjust the difficulty of exercises presented to students.
    

    
def amicable_numbers_sum(limit):
    """
    Design a function for an adaptive learning platform that calculates the total sum of all paired student performance scores where each score up to a given maximum limit has a unique partner score, and the sum of factors for each score equals its partner. This pattern recognition system helps identify mathematical relationships between numbers, where the sum of proper divisors of one number equals the other number and vice versa, to dynamically adjust the difficulty of exercises presented to students.
    

    """
def amicable_numbers_sum(limit):
    """
    Design a function for an adaptive learning platform that calculates the total sum of all paired student performance scores where each score up to a given maximum limit has a unique partner score, and the sum of factors for each score equals its partner. This pattern recognition system helps identify mathematical relationships between numbers, where the sum of proper divisors of one number equals the other number and vice versa, to dynamically adjust the difficulty of exercises presented to students.
    

    """
    if not isinstance(limit, int):
        return 'Input is not an integer!'
    if limit < 1:
        return 'Input must be bigger than 0!'
    amicables = set()
    for num in range(2, limit + 1):
        if num in amicables:
            continue
        sum_fact = sum([fact for fact in range(1, num) if num % fact == 0])
        sum_fact2 = sum([fact for fact in range(1, sum_fact) if sum_fact % fact == 0])
        if num == sum_fact2 and num != sum_fact:
            amicables.add(num)
            amicables.add(sum_fact2)
    return sum(amicables)