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.

Input: Consider Input: The lemma named for this person states that if a prime number divides a product, then it divides a   factor of that product. Janos Bolyai and Nikolai Lobachevsky developed a system that was notable  for not following all of this person's rules. A so-called orchard is named for this person because of   his algorithm for finding greatest common divisors. A book he wrote states that if a line segment  intersects two lines, then the lines meet on the side of the segment where the interior angle sum is  less than two right angles, the last of his five postulates. Name this mathematician whose Elements  was a standard text of geometry.

Output: Science


Input: Consider Input: The final ruler of this dynasty severed his daughter's arm in an attempt to kill his entire family during its final days. In one criminal case, this dynasty saw an expansion of the "Nine Exterminations" to also include the killing of friends as well as family members. The Cathedral of the Immaculate Conception was founded in this dynasty's capital by one of its advisors, Matteo Ricci. This dynasty dispatched the treasure ships of the admiral Zheng He and moved the empire's capital from Nanking. It was founded by a former leader of the Red Turban rebellion, the Hongwu Emperor. For 10 points, name this Chinese dynasty that made Beijing the capital, succeeded the Mongols, and was itself supplanted by the Manchus in the 1640's.

Output: History


Input: Consider Input: nif regulon codes for enzymes central to this process, which may be inhibited by a shortage of alpha-ketoglutarate or excess glutamate. In some cyanobacteria, it is carried out in specialized thick-walled cells called heterocysts. Vanadium is sometimes used in an alternative co-factor to this process, but is not as common as FeMo-co, which contains homocitrate, an Fe7-S8 cube, and a (*) molybdenum center. The reductase involved in this process is irreversibly inactivated by oxygen, leading to conformational protection in free living aerobes like Azotobactor. This process is also carried out by bacteria including Rhizobium that grow in the root nodules of legumes. For 10 points, name this process which allows organisms to make use of a certain atmospheric gas by converting it to ammonia.


Output: Science