
    Given a patient's historical sequence of risk assessment scores from hospital visits, determine the highest severity indicator by finding the maximum product of any subsequence where the risk scores are strictly increasing over time. This calculation helps identify the most concerning pattern of health deterioration in the patient's medical history.
    

    
def max_product(arr):
    """
    Given a patient's historical sequence of risk assessment scores from hospital visits, determine the highest severity indicator by finding the maximum product of any subsequence where the risk scores are strictly increasing over time. This calculation helps identify the most concerning pattern of health deterioration in the patient's medical history.
    

    """
def max_product(arr):
    """
    Given a patient's historical sequence of risk assessment scores from hospital visits, determine the highest severity indicator by finding the maximum product of any subsequence where the risk scores are strictly increasing over time. This calculation helps identify the most concerning pattern of health deterioration in the patient's medical history.
    

    """
    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)