
    Given a patient's historical risk assessment scores from previous hospital stays, determine the highest compound risk indicator by finding the maximum product of scores that occurred in an increasing pattern over time. This calculation helps identify the most severe trajectory of deteriorating health conditions by analyzing sequences where each subsequent risk score was higher than the previous one.
    

    
def max_product(arr):
    """
    Given a patient's historical risk assessment scores from previous hospital stays, determine the highest compound risk indicator by finding the maximum product of scores that occurred in an increasing pattern over time. This calculation helps identify the most severe trajectory of deteriorating health conditions by analyzing sequences where each subsequent risk score was higher than the previous one.
    

    """
def max_product(arr):
    """
    Given a patient's historical risk assessment scores from previous hospital stays, determine the highest compound risk indicator by finding the maximum product of scores that occurred in an increasing pattern over time. This calculation helps identify the most severe trajectory of deteriorating health conditions by analyzing sequences where each subsequent risk score was higher than the previous one.
    

    """
    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)