
    Design an algorithm for a patient monitoring system that calculates the number of unique ways n different vital sign parameters can be classified into m+1 distinct risk levels, where each risk level contains at least one parameter and the relative severity between parameters within each level must be maintained. The algorithm should help healthcare providers understand the possible combinations of risk assessments when analyzing multiple vital signs simultaneously.
    

    
def eulerian_num(n, m):
    """
    Design an algorithm for a patient monitoring system that calculates the number of unique ways n different vital sign parameters can be classified into m+1 distinct risk levels, where each risk level contains at least one parameter and the relative severity between parameters within each level must be maintained. The algorithm should help healthcare providers understand the possible combinations of risk assessments when analyzing multiple vital signs simultaneously.
    

    """
def eulerian_num(n, m):
    """
    Design an algorithm for a patient monitoring system that calculates the number of unique ways n different vital sign parameters can be classified into m+1 distinct risk levels, where each risk level contains at least one parameter and the relative severity between parameters within each level must be maintained. The algorithm should help healthcare providers understand the possible combinations of risk assessments when analyzing multiple vital signs simultaneously.
    

    """
    if m >= n or n == 0:
        return 0
    if m == 0:
        return 1
    return (n - m) * eulerian_num(n - 1, m - 1) + (m + 1) * eulerian_num(n - 1, m)