
    Given a patient's Medical Record Number (MRN), develop a function that generates the next valid palindromic identifier number that is greater than the current MRN for the hospital's bi-directional verification system. The generated palindromic number must be the smallest possible value larger than the input MRN to maintain minimal deviation from the original identifier while ensuring system compatibility.
    

    
import sys

def next_smallest_palindrome(num):
    """
    Given a patient's Medical Record Number (MRN), develop a function that generates the next valid palindromic identifier number that is greater than the current MRN for the hospital's bi-directional verification system. The generated palindromic number must be the smallest possible value larger than the input MRN to maintain minimal deviation from the original identifier while ensuring system compatibility.
    

    """
import sys

def next_smallest_palindrome(num):
    """
    Given a patient's Medical Record Number (MRN), develop a function that generates the next valid palindromic identifier number that is greater than the current MRN for the hospital's bi-directional verification system. The generated palindromic number must be the smallest possible value larger than the input MRN to maintain minimal deviation from the original identifier while ensuring system compatibility.
    

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