
    In a hospital's patient monitoring system, develop a function that calculates the cumulative risk score for a patient throughout their predicted recovery timeline. Starting with an initial severity score, the system tracks the expected improvement pattern where the risk decreases by 2 points at each recovery milestone. The calculation should sum all risk scores from the initial severity until the predicted risk reaches zero or becomes negative, representing the total burden of risk during the recovery period. This aggregate score helps medical staff determine the overall intensity of monitoring required and allocate resources accordingly. The function should work with any positive integer as the initial severity score and follow the pattern of adding scores (n + (n-2) + (n-4)...) until no positive risk remains.
    

    
def sum_series(n):
    """
    In a hospital's patient monitoring system, develop a function that calculates the cumulative risk score for a patient throughout their predicted recovery timeline. Starting with an initial severity score, the system tracks the expected improvement pattern where the risk decreases by 2 points at each recovery milestone. The calculation should sum all risk scores from the initial severity until the predicted risk reaches zero or becomes negative, representing the total burden of risk during the recovery period. This aggregate score helps medical staff determine the overall intensity of monitoring required and allocate resources accordingly. The function should work with any positive integer as the initial severity score and follow the pattern of adding scores (n + (n-2) + (n-4)...) until no positive risk remains.
    

    """
def sum_series(n):
    """
    In a hospital's patient monitoring system, develop a function that calculates the cumulative risk score for a patient throughout their predicted recovery timeline. Starting with an initial severity score, the system tracks the expected improvement pattern where the risk decreases by 2 points at each recovery milestone. The calculation should sum all risk scores from the initial severity until the predicted risk reaches zero or becomes negative, representing the total burden of risk during the recovery period. This aggregate score helps medical staff determine the overall intensity of monitoring required and allocate resources accordingly. The function should work with any positive integer as the initial severity score and follow the pattern of adding scores (n + (n-2) + (n-4)...) until no positive risk remains.
    

    """
    if n < 1:
        return 0
    else:
        return n + sum_series(n - 2)