
    Design a function for the bank's loan approval system that determines the number of possible ways to arrange n financial assessment criteria where exactly m criteria receive a higher priority rating than their subsequent criteria in the final approval sequence. This calculation is crucial for optimizing the automated loan decision-making process by ensuring a balanced evaluation of multiple financial factors while maintaining regulatory compliance.
    

    
def eulerian_num(n, m):
    """
    Design a function for the bank's loan approval system that determines the number of possible ways to arrange n financial assessment criteria where exactly m criteria receive a higher priority rating than their subsequent criteria in the final approval sequence. This calculation is crucial for optimizing the automated loan decision-making process by ensuring a balanced evaluation of multiple financial factors while maintaining regulatory compliance.
    

    """
def eulerian_num(n, m):
    """
    Design a function for the bank's loan approval system that determines the number of possible ways to arrange n financial assessment criteria where exactly m criteria receive a higher priority rating than their subsequent criteria in the final approval sequence. This calculation is crucial for optimizing the automated loan decision-making process by ensuring a balanced evaluation of multiple financial factors while maintaining regulatory compliance.
    

    """
    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)