
    Given a student's sequential performance scores over an academic period, determine the highest possible academic achievement indicator by multiplying the scores from any increasing pattern of performance. The performance pattern must show consistent improvement (each score must be higher than the previous one), and the goal is to identify the strongest possible trajectory of academic success.
    

    
def max_product(arr):
    """
    Given a student's sequential performance scores over an academic period, determine the highest possible academic achievement indicator by multiplying the scores from any increasing pattern of performance. The performance pattern must show consistent improvement (each score must be higher than the previous one), and the goal is to identify the strongest possible trajectory of academic success.
    

    """
def max_product(arr):
    """
    Given a student's sequential performance scores over an academic period, determine the highest possible academic achievement indicator by multiplying the scores from any increasing pattern of performance. The performance pattern must show consistent improvement (each score must be higher than the previous one), and the goal is to identify the strongest possible trajectory of academic success.
    

    """
    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)