
    Design an algorithm that analyzes a student's performance indicators over time to identify the strongest positive growth trajectory by finding the sequence of improving scores that, when multiplied together, yields the highest possible product. This measure will help identify students who show significant improvement patterns despite potentially being flagged as at-risk.
    

    
def max_product(arr):
    """
    Design an algorithm that analyzes a student's performance indicators over time to identify the strongest positive growth trajectory by finding the sequence of improving scores that, when multiplied together, yields the highest possible product. This measure will help identify students who show significant improvement patterns despite potentially being flagged as at-risk.
    

    """
def max_product(arr):
    """
    Design an algorithm that analyzes a student's performance indicators over time to identify the strongest positive growth trajectory by finding the sequence of improving scores that, when multiplied together, yields the highest possible product. This measure will help identify students who show significant improvement patterns despite potentially being flagged as at-risk.
    

    """
    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)