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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def pre_state(*raw_state: GeneralState, filler: Dict[str, Any]) -> None: """ Specify the state prior to the test execution. Multiple invocations don't override the state but extend it instead. In general, the elements of `state_definitions` are nested dictionaries of the following form: .. code-block:: python { address: { "nonce": <account nonce>, "balance": <account balance>, "code": <account code>, "storage": { <storage slot>: <storage value> } } } To avoid unnecessary nesting especially if only few fields per account are specified, the following and similar formats are possible as well: .. code-block:: python (address, "balance", <account balance>) (address, "storage", <storage slot>, <storage value>) (address, "storage", {<storage slot>: <storage value>}) (address, {"balance", <account balance>}) """

    @wraps(pre_state)
    def _pre_state(filler: Dict[str, Any]) -> Dict[str, Any]:
        test_name = get_test_name(filler)

        old_pre_state = filler[test_name].get("pre_state", {})
        pre_state = normalize_state(raw_state)
        defaults = {address: {
            "balance": 0,
            "nonce": 0,
            "code": b"",
            "storage": {},
        } for address in pre_state}
        new_pre_state = deep_merge(defaults, old_pre_state, pre_state)

        return assoc_in(filler, [test_name, "pre"], new_pre_state)