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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 check_and_mutate_row( self, table_name, row_key, app_profile_id=None, predicate_filter=None, true_mutations=None, false_mutations=None, retry=google.api_core.gapic_v1.method.DEFAULT, timeout=google.api_core.gapic_v1.method.DEFAULT, metadata=None, ):
 """ Mutates a row atomically based on the output of a predicate Reader filter. Example: Args: table_name (str):
 The unique name of the table to which the conditional mutation should be applied. Values are of the form ``projects/<project>/instances/<instance>/tables/<table>``. row_key (bytes):
 The key of the row to which the conditional mutation should be applied. app_profile_id (str):
 This value specifies routing for replication. If not specified, the "default" application profile will be used. predicate_filter (Union[dict, ~google.cloud.bigtable_v2.types.RowFilter]):
 The filter to be applied to the contents of the specified row. Depending on whether or not any results are yielded, either ``true_mutations`` or ``false_mutations`` will be executed. If unset, checks that the row contains any values at all. If a dict is provided, it must be of the same form as the protobuf message :class:`~google.cloud.bigtable_v2.types.RowFilter` true_mutations (list[Union[dict, ~google.cloud.bigtable_v2.types.Mutation]]):
 Changes to be atomically applied to the specified row if ``predicate_filter`` yields at least one cell when applied to ``row_key``. Entries are applied in order, meaning that earlier mutations can be masked by later ones. Must contain at least one entry if ``false_mutations`` is empty, and at most 100000. If a dict is provided, it must be of the same form as the protobuf message :class:`~google.cloud.bigtable_v2.types.Mutation` false_mutations (list[Union[dict, ~google.cloud.bigtable_v2.types.Mutation]]):
 Changes to be atomically applied to the specified row if ``predicate_filter`` does not yield any cells when applied to ``row_key``. Entries are applied in order, meaning that earlier mutations can be masked by later ones. Must contain at least one entry if ``true_mutations`` is empty, and at most 100000. If a dict is provided, it must be of the same form as the protobuf message :class:`~google.cloud.bigtable_v2.types.Mutation` retry (Optional[google.api_core.retry.Retry]):
 A retry object used to retry requests. If ``None`` is specified, requests will not be retried. timeout (Optional[float]):
 The amount of time, in seconds, to wait for the request to complete. Note that if ``retry`` is specified, the timeout applies to each individual attempt. metadata (Optional[Sequence[Tuple[str, str]]]):
 Additional metadata that is provided to the method. Returns: A :class:`~google.cloud.bigtable_v2.types.CheckAndMutateRowResponse` instance. Raises: google.api_core.exceptions.GoogleAPICallError: If the request failed for any reason. google.api_core.exceptions.RetryError: If the request failed due to a retryable error and retry attempts failed. ValueError: If the parameters are invalid. """

        # Wrap the transport method to add retry and timeout logic.
        if "check_and_mutate_row" not in self._inner_api_calls:
            self._inner_api_calls[
                "check_and_mutate_row"
            ] = google.api_core.gapic_v1.method.wrap_method(
                self.transport.check_and_mutate_row,
                default_retry=self._method_configs["CheckAndMutateRow"].retry,
                default_timeout=self._method_configs["CheckAndMutateRow"].timeout,
                client_info=self._client_info,
            )

        request = bigtable_pb2.CheckAndMutateRowRequest(
            table_name=table_name,
            row_key=row_key,
            app_profile_id=app_profile_id,
            predicate_filter=predicate_filter,
            true_mutations=true_mutations,
            false_mutations=false_mutations,
        )
        if metadata is None:
            metadata = []
        metadata = list(metadata)
        try:
            routing_header = [("table_name", table_name)]
        except AttributeError:
            pass
        else:
            routing_metadata = google.api_core.gapic_v1.routing_header.to_grpc_metadata(
                routing_header
            )
            metadata.append(routing_metadata)

        return self._inner_api_calls["check_and_mutate_row"](
            request, retry=retry, timeout=timeout, metadata=metadata
        )