
    Write a function that determines if a delivery route identifier number is one less than double its reverse, which could indicate an optimal bidirectional delivery path. This pattern recognition helps identify efficient circular routes where vehicles can maximize deliveries while minimizing total travel distance.
    

    
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 delivery route identifier number is one less than double its reverse, which could indicate an optimal bidirectional delivery path. This pattern recognition helps identify efficient circular routes where vehicles can maximize deliveries while minimizing total travel distance.
    

    """
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 delivery route identifier number is one less than double its reverse, which could indicate an optimal bidirectional delivery path. This pattern recognition helps identify efficient circular routes where vehicles can maximize deliveries while minimizing total travel distance.
    

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