
    Given a sequence of student mastery scores across learning modules, determine the highest potential achievement value by multiplying scores from a series of modules where the student showed consistent improvement over time. The selected scores must be in strictly increasing order to demonstrate progressive mastery, and your task is to find the combination that yields the maximum total achievement value when multiplied together.
    

    
def max_product(arr):
    """
    Given a sequence of student mastery scores across learning modules, determine the highest potential achievement value by multiplying scores from a series of modules where the student showed consistent improvement over time. The selected scores must be in strictly increasing order to demonstrate progressive mastery, and your task is to find the combination that yields the maximum total achievement value when multiplied together.
    

    """
def max_product(arr):
    """
    Given a sequence of student mastery scores across learning modules, determine the highest potential achievement value by multiplying scores from a series of modules where the student showed consistent improvement over time. The selected scores must be in strictly increasing order to demonstrate progressive mastery, and your task is to find the combination that yields the maximum total achievement value when multiplied together.
    

    """
    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)