
    Develop an algorithm to determine all possible ways of categorizing a patient's medical risk factors into distinct risk assessment groups, where each risk factor must be assigned to exactly one group and no group can be empty. Given n medical risk factors, calculate the total number of unique ways these factors can be organized into different risk assessment combinations to create comprehensive patient risk profiles.
    

    
def bell_number(n):
    """
    Develop an algorithm to determine all possible ways of categorizing a patient's medical risk factors into distinct risk assessment groups, where each risk factor must be assigned to exactly one group and no group can be empty. Given n medical risk factors, calculate the total number of unique ways these factors can be organized into different risk assessment combinations to create comprehensive patient risk profiles.
    

    """
def bell_number(n):
    """
    Develop an algorithm to determine all possible ways of categorizing a patient's medical risk factors into distinct risk assessment groups, where each risk factor must be assigned to exactly one group and no group can be empty. Given n medical risk factors, calculate the total number of unique ways these factors can be organized into different risk assessment combinations to create comprehensive patient risk profiles.
    

    """
    bell = [[0 for i in range(n + 1)] for j in range(n + 1)]
    bell[0][0] = 1
    for i in range(1, n + 1):
        bell[i][0] = bell[i - 1][i - 1]
        for j in range(1, i + 1):
            bell[i][j] = bell[i - 1][j - 1] + bell[i][j - 1]
    return bell[n][0]