Generate a python program that has the following intention:

The intention of the program is to find the next palindrome number in a given list of numbers. A palindrome number is a number that remains the same when read backwards, such as 121 or 2020.

The function next_palindrome(number_list) takes a list of numbers as input and returns the next palindrome number or an empty list if no palindrome number is found. The algorithm works by dividing the list in half and repeatedly checking if the two middle numbers are both 9. If they are 9, the program adds 1 to both numbers and then checks if the resulting number is a palindrome. If it is, it returns the updated list. If not, it subtracts 1 from one of the numbers and tries again. If both numbers are not 9, the program adds 1 to one of the numbers and then checks if the resulting number is a palindrome. If it is, it returns the updated list. If not, it subtracts 1 from one of the numbers and tries again. The program continues this process until it finds the next palindrome number or until all the numbers in the list have been checked.

Overall, the program is designed to efficiently find the next palindrome number in a given list of numbers using a divide and conquer approach. Use words with all capital letters to highlight key points, but make sure that words with all capital letters appear less than 13 times
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