
    Given a sequence of patient vital sign measurements over time, determine the highest severity score calculated by multiplying values from any increasing pattern of readings, where a higher product indicates a more critical situation requiring immediate attention. The readings must be selected in a way that each subsequent value is higher than the previous one, and the goal is to find the maximum possible severity score from all such combinations.
    

    
def max_product(arr):
    """
    Given a sequence of patient vital sign measurements over time, determine the highest severity score calculated by multiplying values from any increasing pattern of readings, where a higher product indicates a more critical situation requiring immediate attention. The readings must be selected in a way that each subsequent value is higher than the previous one, and the goal is to find the maximum possible severity score from all such combinations.
    

    """
def max_product(arr):
    """
    Given a sequence of patient vital sign measurements over time, determine the highest severity score calculated by multiplying values from any increasing pattern of readings, where a higher product indicates a more critical situation requiring immediate attention. The readings must be selected in a way that each subsequent value is higher than the previous one, and the goal is to find the maximum possible severity score from all such combinations.
    

    """
    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)