
    In an adaptive learning platform, determine the optimal learning path by finding the sequence of increasing mastery scores that, when multiplied together, yields the highest possible achievement indicator. The mastery scores represent a student's proficiency levels across different but related learning modules, and identifying this sequence helps in understanding the most effective progression of concepts that maximizes overall learning outcomes.
    

    
def max_product(arr):
    """
    In an adaptive learning platform, determine the optimal learning path by finding the sequence of increasing mastery scores that, when multiplied together, yields the highest possible achievement indicator. The mastery scores represent a student's proficiency levels across different but related learning modules, and identifying this sequence helps in understanding the most effective progression of concepts that maximizes overall learning outcomes.
    

    """
def max_product(arr):
    """
    In an adaptive learning platform, determine the optimal learning path by finding the sequence of increasing mastery scores that, when multiplied together, yields the highest possible achievement indicator. The mastery scores represent a student's proficiency levels across different but related learning modules, and identifying this sequence helps in understanding the most effective progression of concepts that maximizes overall learning outcomes.
    

    """
    n = len(arr)
    mpis = arr[:]
    for i in range(n):
        current_prod = arr[i]
        j = i + 1
        while j < n:
            if arr[j - 1] > arr[j]:
                break
            current_prod *= arr[j]
            if current_prod > mpis[j]:
                mpis[j] = current_prod
            j = j + 1
    return max(mpis)