Question: To which royal household does Joachim II Hector, Elector of the state containing Kutschenberg, belong?

full_context: Document 1: Joachim, 6th Prince Murat: Joachim Murat, 6th Prince Murat (Paris, Île-de-France, France, August 6, 1885 – Paris, Île-de-France, France May 11, 1938), was a member of the Bonaparte-Murat family.
Document 2: Taubenklippe: The Taubenklippe is a rock formation in the Harz mountains in the German state of Saxony-Anhalt. It lies about halfway between Bad Harzburg and Ilsenburg at a height of on the eastern slopes of the Ecker valley. From the crag there is a good view over Harz Foreland, the heights near Bad Harzburg and the highest mountain in the Har, the Brocken. The "Taubenklippe" may be reached from the Ecker valley on a footpath, some 6 km long, that starts in Ilsenburg.
Document 3: Erzgebirgskreis: Erzgebirgskreis is a district ("Kreis") in the Free State of Saxony, Germany. It is named after the Erzgebirge ("Ore Mountains"), a mountain range in the southern part of the district which forms part of the Germany–Czech Republic border. It borders (from the west and clockwise) the districts of Vogtlandkreis and Zwickau, the urban district Chemnitz, the district Mittelsachsen and the Czech Republic.
Document 4: Kutschenberg: The Kutschenberg is the highest hill in Brandenburg, Germany. It is part of the low hill range of the Kmehlener Berge and rises near Großkmehlen in the county of Oberspreewald-Lausitz. It is and located only a few metres from the state border with Saxony.
Document 5: Schermützelsee: The Schermützelsee is a lake in Brandenburg, Germany. It is located in the town of Buckow in the district Märkisch-Oderland northwest of Müncheberg and east of the Berlin centre. With its surface area of 1.37 km² it is the largest water in the hill country „Märkische Schweiz“ and in the Märkische Schweiz Nature Park.
Document 6: Joachim II Hector, Elector of Brandenburg: Joachim II ( or "Hektor"; 13 January 1505 – 3 January 1571) was a Prince-elector of the Margraviate of Brandenburg (1535–1571), the sixth member of the House of Hohenzollern. Joachim II was the eldest son of Joachim I Nestor, Elector of Brandenburg and his wife Elizabeth of Denmark, Norway, and Sweden. He received the cognomen Hector after the Trojan prince and warrior for his qualities and prowess.
Document 7: Prince Johann Georg of Hohenzollern: Prince Johann Georg was the sixth child of Frederick, Prince of Hohenzollern (Heiligendamm 30 August 1891 – Krauchenwies 6 February 1965) and his wife Princess Margarete Karola of Saxony (Dresden 24 January 1900 – Freiburg im Breisgau 16 October 1962).
Document 8: East Prussia: Although Brandenburg was a part of the Holy Roman Empire, the Prussian lands were not within the Holy Roman Empire and were with the administration by the Teutonic Order grandmasters under jurisdiction of the Emperor. In return for supporting Emperor Leopold I in the War of the Spanish Succession, Elector Frederick III was allowed to crown himself "King in Prussia" in 1701. The new kingdom ruled by the Hohenzollern dynasty became known as the Kingdom of Prussia. The designation "Kingdom of Prussia" was gradually applied to the various lands of Brandenburg-Prussia. To differentiate from the larger entity, the former Duchy of Prussia became known as Altpreußen ("Old Prussia"), the province of Prussia, or "East Prussia".
Document 9: Heidehöhe: The Heidehöhe is a hill, 201.4 metres high, and the highest point in the state of Brandenburg, Germany. Its actual summit, known as the Heideberg, lies over the border in the state of Saxony and reaches a height of 206.1 metres.
Document 10: Albert Wolfgang, Count of Hohenlohe-Langenburg: He was head of the House of Hohenlohe-Langenburg and introduced primogeniture in Langenburg in 1699. This meant the oldest son would inherit the entire county, and younger sons would only inherit if the oldest were to die childless. From then on, younger sons would mostly embark on military careers, for example, in the imperial army, or in friendly nations.
Document 11: Kmehlener Berge: The Kmehlener Berge are a group of low hills in the south of the German state of Brandenburg within the county of Oberspreewald-Lausitz near the town of Ortrand and the village of Großkmehlen on the state border with Saxony. Their highest point, at , is the on the Huttenberg which lies entirely within Saxony. The Kutschenberg, about 1,000 metres northeast, rises to a height of and is the highest summit and second highest point in the state of Brandenburg.
Document 12: Hesselberg: Hesselberg (689 m above sea level) is the highest point in Middle Franconia and the Franconian Jura and is situated 60 km south west of Nuremberg, Germany. The mountain stands isolated and far from the center of the Franconian Jura, in its southwestern border region, 4 km to the north west of Wassertrüdingen. The mountain's first recorded name was "Öselberg", which probably derived from "öder Berg" (bleak mountain). This name later changed to "Eselsberg" and finally to the current name "Hesselberg". As a butte the mountain provides an insight into Jurassic geology. It has also witnessed an eventful history, many incidents were handed down from generation to generation and these mixed with facts have become legends. Nowadays many people visit Hesselberg in order to enjoy nature and the wonderful vista. When the weather is clear the Alps 150 km away can be seen.
Document 13: Huguenots: Frederick William, Elector of Brandenburg, invited Huguenots to settle in his realms, and a number of their descendants rose to positions of prominence in Prussia. Several prominent German military, cultural, and political figures were ethnic Huguenot, including poet Theodor Fontane, General Hermann von François, the hero of the First World War Battle of Tannenberg, Luftwaffe General and fighter ace Adolf Galland, Luftwaffe flying ace Hans-Joachim Marseille, and famed U-boat captain Lothar von Arnauld de la Perière. The last Prime Minister of the (East) German Democratic Republic, Lothar de Maizière, is also a descendant of a Huguenot family, as is the German Federal Minister of the Interior, Thomas de Maizière.
Document 14: East Prussia: The Administrator of Prussia, the grandmaster of the Teutonic Order Maximilian III, son of emperor Maximilian II died in 1618. When Maximilian died, Albert's line died out, and the Duchy of Prussia passed to the Electors of Brandenburg, forming Brandenburg-Prussia. Taking advantage of the Swedish invasion of Poland in 1655, and instead of fulfilling his vassal's duties towards the Polish Kingdom, by joining forces with the Swedes and subsequent treaties of Wehlau, Labiau, and Oliva, Elector and Duke Frederick William succeeded in revoking king of Poland's sovereignty over the Duchy of Prussia in 1660. The absolutist elector also subdued the noble estates of Prussia.
Document 15: Krawutschke Tower: The Krawutschke Tower (German: "Krawutschketurm") is a 13 metre tall observation tower in the Hürtgenwald municipality in Germany, about one kilometer east of the village center of "Bergstein", approximately 10 km south of Düren. The Krawutschke Tower is 400.5 m above sea level, situated on the "Burgberg" (Engl. castle mountain), which, during World War II, also had the Allied-given name Hill 400 due to its elevation. The Krawutschke Tower has three platforms, one above the other, each separated by three meters.
ground_truth: House of Hohenzollern
sub_queries: Kutschenberg >> located in the administrative territorial entity Answer: Brandenburg
Joachim II Hector, Elector of Brandenburg >> family Answer: House of Hohenzollern