
    Given a delivery route identifier number, find the next valid symmetric route number (where the digits read the same forwards and backwards) that is greater than the current route number, to enable efficient bidirectional navigation patterns for delivery vehicles. The symmetric route number must be the smallest possible palindrome greater than the input route identifier to maintain optimal route distribution and minimize path adjustments.
    

    
import sys

def next_smallest_palindrome(num):
    """
    Given a delivery route identifier number, find the next valid symmetric route number (where the digits read the same forwards and backwards) that is greater than the current route number, to enable efficient bidirectional navigation patterns for delivery vehicles. The symmetric route number must be the smallest possible palindrome greater than the input route identifier to maintain optimal route distribution and minimize path adjustments.
    

    """
import sys

def next_smallest_palindrome(num):
    """
    Given a delivery route identifier number, find the next valid symmetric route number (where the digits read the same forwards and backwards) that is greater than the current route number, to enable efficient bidirectional navigation patterns for delivery vehicles. The symmetric route number must be the smallest possible palindrome greater than the input route identifier to maintain optimal route distribution and minimize path adjustments.
    

    """
    numstr = str(num)
    for i in range(num + 1, sys.maxsize):
        if str(i) == str(i)[::-1]:
            return i