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: Loewner's inequality relates the area and systole of Riemannian metrics on one of these spaces. Arnold's cat map is a chaotic mapping from one of these spaces to itself. This name is given to connected, compact, abelian Lie subgroups, and any compact Lie group has a maximal one. Dupin cyclides are geometric inversions of these objects, and two Villarceau circles can be created by cutting one of these objects diagonally. N-dimensional versions of these objects, which have genus one, are homeomorphic to the Cartesian product of N circles. Other than the Klein bottle, these are the only closed, compact surfaces with an Euler characteristic of zero. They can be created by revolving a circle around an axis coplanar to the circle's diameter. For 10 points, name these mathematical objects that often look like doughnuts.

Output: Science


Input: Consider Input: Military conflicts in this state include the Tuscarora War, squelched by Governor Edward Hyde, and the Regulator Movement, in which the title dissidents dragged state officials through the then-capital of Hillsborough. The western portion of what is now this state, when led by John Sevier and named Franklin, received seven votes for admission at the Continental Congress, while its central "Piedmont" region saw the first sit-ins of the civil rights movement at a Woolworth's in Greensboro, and its locale of Kill Devil Hills was the site of the Wright Brothers' first successful heavier-than-air flight. For 10 points, name this state with capital at Raleigh.

Output: History


Input: Consider Input: After the panic of 1819, this state was home to the Debt Relief Party, which in 1824 created a new state supreme court, leading to the Old Court-New Court Controversy in which this state had two rival supreme courts. One Senator from this state lived on the Ashland Estate, while another Senator from this state served as Attorney General to both Fillmore and William Henry Harrison and introduced a (*) failed amendment designed to prevent the Civil War. Apart from John J. Crittenden, another Senator from this state devised the rule that no slavery would be allowed south of Missouri in 1820 and lost three Presidential elections. For ten points, name this home state of Henry Clay.


Output: History