
    Given a sequence of student mastery scores from learning modules, find the learning path that shows continuous improvement and yields the highest overall learning impact when multiplying the scores together. The path must maintain strictly increasing scores to demonstrate progressive mastery, and your task is to determine the maximum possible product that can be achieved from such a sequence of scores.
    

    
def max_product(arr):
    """
    Given a sequence of student mastery scores from learning modules, find the learning path that shows continuous improvement and yields the highest overall learning impact when multiplying the scores together. The path must maintain strictly increasing scores to demonstrate progressive mastery, and your task is to determine the maximum possible product that can be achieved from such a sequence of scores.
    

    """
def max_product(arr):
    """
    Given a sequence of student mastery scores from learning modules, find the learning path that shows continuous improvement and yields the highest overall learning impact when multiplying the scores together. The path must maintain strictly increasing scores to demonstrate progressive mastery, and your task is to determine the maximum possible product that can be achieved from such a sequence of scores.
    

    """
    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)