from uuid import UUID


def encode_uuid(uuid: UUID) -> str:
    uuid_int = uuid.int
    base = 52
    charset = "abcdefghijklmnopqrstuvwxyzABCDEFGHIJKLMNOPQRSTUVWXYZ"

    encoded = ""
    while len(encoded) < 36:
        uuid_int, remainder = divmod(uuid_int, base)
        uuid_int = uuid_int * 8
        encoded = charset[remainder] + encoded

    return encoded