ALPHABET = "234567abcdefghijklmnopqrstuvwxyz"
DECODING_MAP = {v: k for k, v in enumerate(ALPHABET)}


def encode_int(data: int, length: int) -> str:
    encoded = ""
    for i in range(0, length, 5):
        c = data & 0b11111
        data >>= 5
        encoded += ALPHABET[c]
    return "".join(reversed(encoded))


def decode_int(data: str) -> int:
    decoded = 0
    for letter in data:
        if letter not in DECODING_MAP:
            raise ValueError("Non-base32-sortable digit found")
        
        decoded <<= 5
        decoded += DECODING_MAP[letter]
    return decoded