
    In a hospital bed management system, develop a function that validates if a patient's identifier number follows the specialized allocation rule where it must be one less than twice its reverse number - this pattern has been found to optimize bed turnover efficiency. The function should take a positive integer patient ID as input and determine if it satisfies this mathematical relationship with its reverse.
    

    
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):
    """
    In a hospital bed management system, develop a function that validates if a patient's identifier number follows the specialized allocation rule where it must be one less than twice its reverse number - this pattern has been found to optimize bed turnover efficiency. The function should take a positive integer patient ID as input and determine if it satisfies this mathematical relationship with its reverse.
    

    """
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):
    """
    In a hospital bed management system, develop a function that validates if a patient's identifier number follows the specialized allocation rule where it must be one less than twice its reverse number - this pattern has been found to optimize bed turnover efficiency. The function should take a positive integer patient ID as input and determine if it satisfies this mathematical relationship with its reverse.
    

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