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Write a function `next_smallest_palindrome(num: int) -> int` that takes an integer `num` as input and returns the next smallest palindrome greater than `num`. A palindrome is a number that reads the same backward as forward. #### Example Usage ```python [main.nopy] next_smallest_palindrome(99) # Output: 101 next_smallest_palindrome(1221) # Output: 1331 next_smallest_palindrome(120) # Output: 121 ```
def next_smallest_palindrome(num: int) -> int:
"""
Find the next smallest palindrome greater than the given number.
Args:
num (int): The input number.
Returns:
int: The next smallest palindrome.
"""
# Placeholder for the solution
pass