
    In a hospital's patient monitoring system, given a patient's current Medical Record Number (MRN), determine the next available palindromic MRN that can be assigned as a high-risk identifier. The system requires that this next palindromic number must be larger than the current MRN but should be the smallest possible palindrome greater than the input number.
    

    
import sys

def next_smallest_palindrome(num):
    """
    In a hospital's patient monitoring system, given a patient's current Medical Record Number (MRN), determine the next available palindromic MRN that can be assigned as a high-risk identifier. The system requires that this next palindromic number must be larger than the current MRN but should be the smallest possible palindrome greater than the input number.
    

    """
import sys

def next_smallest_palindrome(num):
    """
    In a hospital's patient monitoring system, given a patient's current Medical Record Number (MRN), determine the next available palindromic MRN that can be assigned as a high-risk identifier. The system requires that this next palindromic number must be larger than the current MRN but should be the smallest possible palindrome greater than the input number.
    

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