
    In a social media content moderation system, determine how many different ways the AI can arrange n filtering rules such that exactly m rules have a higher severity score than their subsequent rule in the sequence. This calculation helps optimize the order of content filters to maximize the efficiency of the moderation pipeline while maintaining the hierarchical importance of different types of violations.
    

    
def eulerian_num(n, m):
    """
    In a social media content moderation system, determine how many different ways the AI can arrange n filtering rules such that exactly m rules have a higher severity score than their subsequent rule in the sequence. This calculation helps optimize the order of content filters to maximize the efficiency of the moderation pipeline while maintaining the hierarchical importance of different types of violations.
    

    """
def eulerian_num(n, m):
    """
    In a social media content moderation system, determine how many different ways the AI can arrange n filtering rules such that exactly m rules have a higher severity score than their subsequent rule in the sequence. This calculation helps optimize the order of content filters to maximize the efficiency of the moderation pipeline while maintaining the hierarchical importance of different types of violations.
    

    """
    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)