
    Write a function that determines if a patient's identifier number falls into a high-risk readmission category by checking if it is one less than twice its reverse, where this mathematical pattern has been correlated with increased readmission likelihood. The function should process the patient ID number and return true if it meets this mathematical criteria, indicating the need for enhanced monitoring.
    

    
def rev(num):
    rev_num = 0
    while num > 0:
        rev_num = rev_num * 10 + num % 10
        num = num // 10
    return rev_num

def check(n):
    """
    Write a function that determines if a patient's identifier number falls into a high-risk readmission category by checking if it is one less than twice its reverse, where this mathematical pattern has been correlated with increased readmission likelihood. The function should process the patient ID number and return true if it meets this mathematical criteria, indicating the need for enhanced monitoring.
    

    """
def rev(num):
    rev_num = 0
    while num > 0:
        rev_num = rev_num * 10 + num % 10
        num = num // 10
    return rev_num

def check(n):
    """
    Write a function that determines if a patient's identifier number falls into a high-risk readmission category by checking if it is one less than twice its reverse, where this mathematical pattern has been correlated with increased readmission likelihood. The function should process the patient ID number and return true if it meets this mathematical criteria, indicating the need for enhanced monitoring.
    

    """
    return 2 * rev(n) == n + 1