In this task you will be given a text passage from a trivia quiz. You should choose the category this question belongs to from these categories: History, Science, Social Science, Fine Arts, Literature. You can only choose one category, so if in doubt, please choose the closest match.

one work by this man, Fritz wins a great victory by shooting 300,000 wine bottles out of cannons and getting the enemy drunk after the title character sings the "Sabre Song" and promotes him to general. He used the Lysistrata as the basis for The Happiest Girl in the World. In his aria "J'ai des yeux," a magician declares his love for Olympia after watching the inventor Spalanzani wind her up in "The Doll Song. " In another of his works, the Brazillian millionaire Pompa di Matadores and the Swedish noble the Baron de Gondremarck experience the frenetic nightlife of the title city. Saint-Sans borrowed the part of the tortoise in Carnival of the Animals from the "Galop" written by this composer of La Vie Parisienne, who included a "Barcarolle" in an opera which adapts the story "The Sandman. " For 10 points, name this composer of The Tales of Hoffman and Orpheus in the Underworld.
Fine Arts

This dynasty continued a system in which one month out of every five was given to military service by those who lived within 500 li of the capital; that was the Fubing system. A Buddhist savings bank stocked by donations was liquidated during this dynasty and was called the "Inexhaustible Treasury."  Governors known as "jiedushi" first sprang up during this period under emperor (*) Xuanzong. A major insurrection during this dynasty ended after Shi Chaoyi killed himself. This dynasty was  interrupted by the second Zhou dynasty when Ruizong announced that his mother, Wu Zetian, would be  emperor. For 10 points, name this Chinese dynasty that lasted from 618 until 907 and faced the An  Lushan rebellion.
History

The Polish notation developed by Lukasiewicz can be practically treated by representing operations by these mathematical entities. These entities can be represented numerically by Prufer codes, and Cayley's theorem states that for a given n, there are exactly n to the n-2 of these. The subset of those n vertices that are pendant in on of these objects is equal to two plus the sum of the degree of each vertex minus two. The zig, zig-zag, and zig-zig steps create the "splay" variety of these entities, while Prim's algorithm is useful for determining the minimum spanning kind. For 10 points, identify these acyclic, connected graphs which consist of a series of roots and leaves.

Science