
    In a hospital's patient readmission risk assessment system, develop an algorithm that calculates the weighted impact of multiple risk factors on a patient's overall readmission probability. Given a total number of identified risk factors, each subsequent factor should have a diminishing influence on the final risk score, decreasing by a factor of 2 for each position in the assessment hierarchy. The system should sum up these weighted contributions, starting from the highest impact and continuing until the contribution becomes zero or negative. This weighted sum will help healthcare providers quantify the cumulative effect of multiple risk factors while accounting for their diminishing marginal impact on readmission probability. The algorithm should be particularly useful in cases where patients present with multiple interconnected risk factors that need to be evaluated holistically.
    

    
def sum_series(n):
    """
    In a hospital's patient readmission risk assessment system, develop an algorithm that calculates the weighted impact of multiple risk factors on a patient's overall readmission probability. Given a total number of identified risk factors, each subsequent factor should have a diminishing influence on the final risk score, decreasing by a factor of 2 for each position in the assessment hierarchy. The system should sum up these weighted contributions, starting from the highest impact and continuing until the contribution becomes zero or negative. This weighted sum will help healthcare providers quantify the cumulative effect of multiple risk factors while accounting for their diminishing marginal impact on readmission probability. The algorithm should be particularly useful in cases where patients present with multiple interconnected risk factors that need to be evaluated holistically.
    

    """
def sum_series(n):
    """
    In a hospital's patient readmission risk assessment system, develop an algorithm that calculates the weighted impact of multiple risk factors on a patient's overall readmission probability. Given a total number of identified risk factors, each subsequent factor should have a diminishing influence on the final risk score, decreasing by a factor of 2 for each position in the assessment hierarchy. The system should sum up these weighted contributions, starting from the highest impact and continuing until the contribution becomes zero or negative. This weighted sum will help healthcare providers quantify the cumulative effect of multiple risk factors while accounting for their diminishing marginal impact on readmission probability. The algorithm should be particularly useful in cases where patients present with multiple interconnected risk factors that need to be evaluated holistically.
    

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