# This is an implementation of a custom base encoding algorithm, which allows for the encoding and decoding of text strings using a custom alphabet and base size. The encoding and decoding functions use the standard library string module to define the alphabet, which consists of all uppercase and lowercase letters, digits and punctuation characters. The alphabet size is set to 1052672 characters, but can be modified through the function arguments. The base size is set to 256, but can also be modified through the function arguments. The encoding function takes an input string and converts each character to its corresponding index in the alphabet. It then takes the resulting number and encodes it using the specified base size. The decoding function takes an encoded string and converts it back to the original number by reversing the process of the encoding function. The optimize_baseX function is used to optimize the size of the encoded string by searching for the best combination of alphabet size, base size, alphabet multiplier, and base multiplier. It does this by iterating through all possible combinations and encoding the input string with each one. The encoded string with the smallest length is then chosen as the optimal combination. The function also includes a check for the input string size, and adjusts the alphabet and base size accordingly. If the input string size is smaller than 100, the alphabet and base size are decreased by 50%, and if the input string size is larger than 1000, the alphabet and base size are increased by 50%.

import string

alphabet = string.ascii_letters + string.digits + string.punctuation
modulo_value = 1052672

def encode_baseX(input_string):
    encoded = ""
    for char in input_string:
        position = alphabet.index(char)
        encoded += str(position).zfill(len(str(len(alphabet))))
    return encoded

def decode_baseX(input_string):
    decoded = ""
    for i in range(0, len(input_string), len(str(len(alphabet)))):
        position = int(input_string[i:i+len(str(len(alphabet)))])
        decoded += alphabet[position]
    return decoded

def encode_baseX(input_string, alphabet_size=1052672, base_size=256, alphabet_multiplier=1, base_multiplier=1):
    alphabet = string.ascii_letters + string.digits + string.punctuation
    alphabet = alphabet[:alphabet_size] * alphabet_multiplier
    encoded = ""
    number = 0
    for char in input_string:
        number = number * len(alphabet) + alphabet.index(char)
    while number > 0:
        encoded = alphabet[number % (base_size ** base_multiplier)] + encoded
        number //= (base_size ** base_multiplier)
    return encoded

def decode_baseX(input_string):
    alphabet_size, base_size, alphabet_multiplier, base_multiplier = optimize_baseX(input_string)
    alphabet = string.ascii_letters + string.digits + string.punctuation
    alphabet = alphabet[:alphabet_size] * alphabet_multiplier
    decoded = ""
    number = 0
    for char in input_string:
        number = number * (base_size ** base_multiplier) + alphabet.index(char)
    for multiplier in range(0, float('inf')):
        baseX = len(alphabet) ** multiplier
        if number > 0:
            decoded = chr(number % baseX) + decoded
            number //= baseX
    return decoded

def optimize_baseX(input_string):
    best_size = float('inf')
    best_alphabet_size = 0
    best_base_size = 0
    best_alphabet_multiplier = 0
    best_base_multiplier = 0
    
    input_size = len(input_string)
    
    for alphabet_size in range(1, len(string.ascii_letters + string.digits + string.punctuation) + 1):
        for base_size in range(2, 257):
            for alphabet_multiplier in range(1, 10):
                for base_multiplier in range(1, 10):
                    encoded = encode_baseX(input_string, alphabet_size, base_size, alphabet_multiplier, base_multiplier)
                    if len(encoded) < best_size:
                        best_size = len(encoded)
                        best_alphabet_size = alphabet_size
                        best_base_size = base_size
                        best_alphabet_multiplier = alphabet_multiplier
                        best_base_multiplier = base_multiplier
                        
    # If the input size is small, we can decrease the alphabet size and base size
    if input_size < 100:
        best_alphabet_size = int(best_alphabet_size * 0.5)
        best_base_size = int(best_base_size * 0.5)
    # If the input size is large, we can increase the alphabet size and base size
    elif input_size > 1000:
        best_alphabet_size = int(best_alphabet_size * 1.5)
        best_base_size = int(best_base_size * 1.5)
    
    return best_alphabet_size, best_base_size, best_alphabet_multiplier, best_base_multiplier

# By Josef Kulovany - ZCHG.org - DO NOT REMOVE PER LICENSING AND COPYRIGHT LAW
