Information:  - The Gäuboden (also referred to in German as the Dungau) is a region in Lower Bavaria in southern Germany without any clear geographic or cultural boundaries, that covers an area about 15 kilometres wide south of the River Danube and the Bavarian Forest, beginning opposite Wörth an der Donau and stretching as far as Künzing. The largest town in the region is Straubing, which is often called the centre of the Gäuboden. The Gäuboden is one of the largest loess regions in southern Germany.  - Hamburg (local pronunciation ; Low German/Low Saxon: "Hamborg" ), officially "Freie und Hansestadt Hamburg" (Free and Hanseatic City of Hamburg), is the second largest city in Germany and the eighth largest city in the European Union. It is the second smallest German state by area. Its population is over 1.7 million people, and the wider Hamburg Metropolitan Region covers more than 5.1 million inhabitants. The city is situated on the river Elbe.  - Bavaria  is a federal state of Germany. Located in the German southeast with an area of 70,548 square kilometres (27,200 sq mi), Bavaria is the largest German state. Its territory comprises roughly a fifth of the total land area of Germany, and, with 12.9 million inhabitants, it is Germany's second most populous state. Munich, Bavaria's capital and largest city, is the third largest city in Germany.  - The European Union (EU) is a political and economic union of member states that are located primarily in Europe. It has an area of , and an estimated population of over 510 million. The EU has developed an internal single market through a standardised system of laws that apply in all member states. EU policies aim to ensure the free movement of people, goods, services, and capital within the internal market, enact legislation in justice and home affairs, and maintain common policies on trade, agriculture, fisheries, and regional development. Within the Schengen Area, passport controls have been abolished. A monetary union was established in 1999 and came into full force in 2002, and is composed of 19 EU member states which use the euro currency.  - Straubing - Bogen is a Kreis ( district ) in the eastern part of Bavaria , Germany . Neighboring districts are ( from the north clockwise ) Cham , Regen , Deggendorf , Dingolfing - Landau , Landshut and Regensburg . The independent town of Straubing is surrounded by the district . The seat of the government of the district ( Landratsamt ) is located in Straubing . The only towns within the district itself are Bogen and Geiselhöring .  - The euro (sign: €; code: EUR) is the official currency of the eurozone, which consists of 19 of the member states of the European Union: Austria, Belgium, Cyprus, Estonia, Finland, France, Germany, Greece, Ireland, Italy, Latvia, Lithuania, Luxembourg, Malta, the Netherlands, Portugal, Slovakia, Slovenia, and Spain. The currency is also officially used by the institutions of the European Union and four other European countries, as well as unilaterally by two others, and is consequently used daily by some 337 million Europeans . Outside of Europe, a number of overseas territories of EU members also use the euro as their currency.  - Europe is a continent that comprises the westernmost part of Eurasia. Europe is bordered by the Arctic Ocean to the north, the Atlantic Ocean to the west, and the Mediterranean Sea to the south. To the east and southeast, Europe is generally considered as separated from Asia by the watershed divides of the Ural and Caucasus Mountains, the Ural River, the Caspian and Black Seas, and the waterways of the Turkish Straits. Yet the non-oceanic borders of Europea concept dating back to classical antiquityare arbitrary. The primarily physiographic term "continent" as applied to Europe also incorporates cultural and political elements whose discontinuities are not always reflected by the continent's current overland boundaries.  - A republic (from ) is a sovereign state, country, or government which is organized with a form of government in which power resides in elected individuals representing the citizen body and government leaders exercise power according to the rule of law. In modern times, the definition of a republic commonly refers to a government which excludes a monarch. Currently, 147 of the world's 206 sovereign states use the word "republic" as part of their official names; not all of these are republics in the sense of having elected governments, nor do all nations with elected governments use the word "republic" in their names.  - Germany, officially the Federal Republic of Germany, is a federal parliamentary republic in central-western Europe. It includes 16 constituent states, covers an area of , and has a largely temperate seasonal climate. With about 82 million inhabitants, Germany is the most populous member state of the European Union. After the United States, it is the second most popular immigration destination in the world. Germany's capital and largest metropolis is Berlin. Other major cities include Hamburg, Munich, Cologne, Frankfurt, Stuttgart and Düsseldorf.  - Cologne is the largest city in the German federal State of North Rhine-Westphalia and the fourth-largest city in Germany (after Berlin, Hamburg, and Munich). It is located within the Rhine-Ruhr metropolitan region, one of the major European metropolitan regions and the largest in Germany, with more than ten million inhabitants.  - Berlin is the capital and the largest city of Germany as well as one of its constituent 16 states. With a population of approximately 3.5 million people, Berlin is the second most populous city proper and the seventh most populous urban area in the European Union. Located in northeastern Germany on the banks of rivers Spree and Havel, it is the centre of the Berlin-Brandenburg Metropolitan Region, which has about 6 million residents from more than 180 nations. Due to its location in the European Plain, Berlin is influenced by a temperate seasonal climate. Around one-third of the city's area is composed of forests, parks, gardens, rivers and lakes.  - Rottal-Inn is a "Kreis" (district) in the southeastern part of Bavaria, Germany. Neighboring districts are (from the south clockwise) Altötting, Mühldorf, Landshut, Dingolfing-Landau and Passau. To the southeast is the Austrian state Upper Austria (Braunau).  - Stuttgart ( Swabian: "Schduagert"), often nicknamed the ""Schwabenmetropole"" in reference to its location in the center of Swabia and the local dialect spoken by some natives, is the capital and largest city of the German state of Baden-Württemberg. It is located on the Neckar river in a fertile valley locally known as the "Stuttgarter Kessel" an hour from the Swabian Jura and the Black Forest. Stuttgart's name comes from the Old High German word ""Stuogarten"," or "stud farm"  a reference to the city's founding in 950 AD as a stud farm. Stuttgarts urban area has a population of 623,738, and a further making it the sixth largest city in Germany, 2.7 million people live in the citys administrative region, and another 5.3 million people in its metropolitan area, making it the fourth largest metropolitan area in Germany.  - A parliamentary republic is a republic that operates under a parliamentary system of government where the executive branch (the government) derives its legitimacy from and is accountable to the legislature (the parliament). There are a number of variations of parliamentary republics. Most have a clear differentiation between the head of government and the head of state, with the head of government holding real power, much like constitutional monarchies. Some have combined the roles of head of state and head of government, much like presidential systems, but with a dependency upon parliamentary power.  - Lower Bavaria is one of the seven administrative regions of Bavaria, Germany, located in the east of the state.  - A fair (archaic: faire or fayre) is a gathering of people for a variety of entertainment or commercial activities. It is normally of the essence of a fair that it is temporary with scheduled times lasting from an afternoon to several weeks.  - Düsseldorf (Low Franconian, Ripuarian: "Düsseldörp" ) is the capital city of the German state of North Rhine-Westphalia and the seventh most populous city in Germany. Düsseldorf is an international business and financial centre, renowned for its fashion and trade fairs. The city is headquarters to one Fortune Global 500 and two DAX companies. Messe Düsseldorf organises nearly one fifth of premier trade shows.  - Straubing is an independent city in Lower Bavaria, southern Germany. It is seat of the district of Straubing-Bogen. Annually in August the Gäubodenvolksfest, the second largest fair in Bavaria, is held.  - Dingolfing-Landau is a district in Bavaria, Germany. It is bounded by (from the north and clockwise) the districts of Straubing-Bogen, Deggendorf, Rottal-Inn and Landshut.  - Frankfurt am Main is a metropolis and the largest city in the German state of Hesse and the fifth-largest city in Germany, with a 2015 population of 731,095 within its administrative boundaries, and 2.3 million in its urban area. The city is at the centre of the larger Frankfurt Rhine-Main Metropolitan Region, which has a population of 5.8 million and is Germany's second-largest metropolitan region after Rhine-Ruhr. Since the enlargement of the European Union in 2013, the geographic centre of the EU is about to the east of Frankfurt's CBD, the Bankenviertel. Frankfurt is culturally and ethnically diverse, with around half of the population, and a majority of young people, having a migration background. A quarter of the population are foreign nationals, including many expatriates.  - The Gäubodenvolksfest in Straubing is one of the largest Volksfest (beer festival and travelling funfair) in Bavaria).  - Munich (also in British English ) is the capital and largest city of the German state of Bavaria, on the banks of River Isar north of the Bavarian Alps. Munich is the third largest city in Germany, after Berlin and Hamburg, and the 12th biggest city of the European Union, with a population of above 1.5 million. The Munich Metropolitan Region is home to 5.8 million people.    Given the paragraphs above, decide what entity has the relation 'located in the administrative territorial entity' with 'lower bavaria'.
The answer to this question is:
straubing-bogen