
    Given a sequence of patient vital sign measurements over time, determine the highest possible risk score calculated by multiplying an increasing subset of these measurements, where higher products indicate elevated readmission risk. The measurements can be skipped but must maintain an increasing order when selected, and at least one measurement must be used in the calculation.
    

    
def max_product(arr):
    """
    Given a sequence of patient vital sign measurements over time, determine the highest possible risk score calculated by multiplying an increasing subset of these measurements, where higher products indicate elevated readmission risk. The measurements can be skipped but must maintain an increasing order when selected, and at least one measurement must be used in the calculation.
    

    """
def max_product(arr):
    """
    Given a sequence of patient vital sign measurements over time, determine the highest possible risk score calculated by multiplying an increasing subset of these measurements, where higher products indicate elevated readmission risk. The measurements can be skipped but must maintain an increasing order when selected, and at least one measurement must be used in the calculation.
    

    """
    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)