# Mutation from 'input.py'
import os
import sys
from typing import Any, Callable, Dict, List, Optional, Tuple

import numpy as np

import geniz


@geniz.CodeAgent()
def make_palindrome(s: str) -> str:
    """
    Find the shortest palindrome that begins with a supplied string.
    The goal is to append the reverse of the longest possible prefix
    (before the identified palindromic suffix) at the end to create a palindrome.
    
    Args:
    s (str): The input string.

    Returns:
    str: The shortest palindrome that begins with the provided string.
    
    Examples:
    >>> make_palindrome('')
    ''
    >>> make_palindrome('cat')
    'catac'
    >>> make_palindrome('cata')
    'catac'
    """
    if not s:
        return s
    for i in range(len(s), -1, -1):
        if s[:i] * (len(s) // i + 1) == s[:i] * -(-len(s) // i):
            suffix = s[:i]
            return s + suffix[::-1]
    return s + s[::-1]
if __name__ == '__main__':
    print(make_palindrome(''))
    print(make_palindrome('cat'))
    print(make_palindrome('cata'))
    print(make_palindrome('hello'))
