
    Given a sequence of vital sign measurements from a patient's wearable device, determine the highest risk indicator by finding the maximum product of any increasing sequence of readings. This calculation helps identify the most severe pattern of escalating vital signs, where higher products indicate more concerning health trends requiring immediate medical attention.
    

    
def max_product(arr):
    """
    Given a sequence of vital sign measurements from a patient's wearable device, determine the highest risk indicator by finding the maximum product of any increasing sequence of readings. This calculation helps identify the most severe pattern of escalating vital signs, where higher products indicate more concerning health trends requiring immediate medical attention.
    

    """
def max_product(arr):
    """
    Given a sequence of vital sign measurements from a patient's wearable device, determine the highest risk indicator by finding the maximum product of any increasing sequence of readings. This calculation helps identify the most severe pattern of escalating vital signs, where higher products indicate more concerning health trends requiring immediate medical attention.
    

    """
    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)