@SuppressWarnings("unchecked") // reading data stored by writeMultimap
      K key = (K) stream.readObject();
      Collection<V> values = multimap.get(key);
      int valueCount = stream.readInt();
      for (int j = 0; j < valueCount; j++) {
        @SuppressWarnings("unchecked") // reading data stored by writeMultimap
        V value = (V) stream.readObject();
        values.add(value);
      }
    }

   */
  @GwtIncompatible
  @J2ktIncompatible
    private void writeObject(ObjectOutputStream stream) throws IOException {
    stream.defaultWriteObject();
    Serialization.writeMultimap(this, stream);
  }

  @GwtIncompatible
  @J2ktIncompatible
    private void readObject(ObjectInputStream stream) throws IOException, ClassNotFoundException {
    stream.defaultReadObject();

    private void writeObject(ObjectOutputStream stream) throws IOException {
    stream.defaultWriteObject();
    stream.writeObject(keyComparator());
    stream.writeObject(valueComparator());
    Serialization.writeMultimap(this, stream);
  }

  @GwtIncompatible
  @J2ktIncompatible
    @SuppressWarnings("unchecked") // reading data stored by writeObject

        return new WrappedSet(key, (Set<V>) collection);
      } else {
        return new WrappedCollection(key, collection, null);
      }
    }

    // can't use Serialization writeMultimap and populateMultimap methods since
    // there's no way to generate the empty backing map.

    /**
     * @serialData the factory and the backing map
     */
    @GwtIncompatible
    @J2ktIncompatible