
    Given a sequence of patient severity scores recorded during emergency room triage, find the highest risk factor by multiplying the scores of any subsequence where the severity consistently increases over time. This calculation helps identify the most critical pattern of patient deterioration, where higher products indicate more urgent medical intervention is needed.
    

    
def max_product(arr):
    """
    Given a sequence of patient severity scores recorded during emergency room triage, find the highest risk factor by multiplying the scores of any subsequence where the severity consistently increases over time. This calculation helps identify the most critical pattern of patient deterioration, where higher products indicate more urgent medical intervention is needed.
    

    """
def max_product(arr):
    """
    Given a sequence of patient severity scores recorded during emergency room triage, find the highest risk factor by multiplying the scores of any subsequence where the severity consistently increases over time. This calculation helps identify the most critical pattern of patient deterioration, where higher products indicate more urgent medical intervention is needed.
    

    """
    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)