P: In 212 BC, the Emperor Qin Shi Huang commanded all books in the Qin Empire other than officially sanctioned ones be burned. This decree was not universally obeyed, but as a consequence of this order little is known about ancient Chinese mathematics before this date. After the Burning of books and burying of scholars of 212 BC, the Han dynasty (202 BC220 AD) produced works of mathematics which presumably expanded on works that are now lost. The most important of these is The Nine Chapters on the Mathematical Art, the full title of which appeared by AD 179, but existed in part under other titles beforehand. It consists of 246 word problems involving agriculture, business, employment of geometry to figure height spans and dimension ratios for Chinese pagoda towers, engineering, surveying, and includes material on right triangles. It created mathematical proof for the Pythagorean theorem, and a mathematical formula for Gaussian elimination. The treatise also provides values of , which Chinese mathematicians originally approximated as 3 until Liu Xin (scholar) (d. 23 AD) provided a figure of 3.1457 and subsequently Zhang Heng (78-139) approximated pi as 3.1724, as well as 3.162 by taking the square root of 10. Liu Hui commented on the Nine Chapters in the 3rd century AD and Liu Huis algorithm accurate to 5 decimal places (i.e. 3.14159). Though more of a matter of computational stamina than theoretical insight, in the 5th century AD Zu Chongzhi computed Milu to seven decimal places (i.e. 3.141592), which remained the most accurate value of for almost the next 1000 years. He also established a method which would later be called Cavalieris principle to find the volume of a sphere.
Answer this: Which Chinese scholars estimated the value of pi?

A: Liu Xin

P: Newfoundland's coast was dotted with small French and English communities, with some fishing stations occupied seasonally by fishermen from Europe. Both sides had fortified their principal towns, the French at Plaisance on the western side of the Avalon Peninsula, the English at St. John's on Conception Bay. During King William's War, d'Iberville had destroyed most of the English communities in 1696-97, and the island again became a battleground in 1702. In August of that year, an English fleet under the command of Commodore John Leake descended on the outlying French communities but made no attempts on Plaisance. During the winter of 1705, Plaisance's French governor Daniel d'Auger de Subercase retaliated, leading a combined French and Mi'kmaq expedition that destroyed several English settlements and unsuccessfully besieged Fort William at St. John's. The French and their Indian allies continued to harry the English throughout the summer and did damages to the English establishments claimed at 188,000. The English sent a fleet in 1706 that destroyed French fishing outposts on the island's northern coasts. In December 1708, a combined force of French, Canadian, and Mi'kmaq volunteers captured St. John's and destroyed the fortifications. They lacked the resources to hold the prize, however, so they abandoned it, and St. John's was reoccupied and refortified by the English in 1709. English fleet commanders contemplated attacks on Plaisance in 1703 and 1711 but did not make them, the latter by Admiral Walker in the aftermath of the disaster at the mouth of the St. Lawrence.
Answer this: How many years after the English sent a fleet to destroy French fishing outposts on the northern coasts of Newfoundland did a combined force of French, Canadian, and Mi'kmaq volunteers captured St. John's and destroyed the fortifications?

A: 2

P: On 2 October 1187 the Ayyubid sultan Saladin captured Jerusalem and large parts of the Crusader states. In an effort to reclaim the Outremer estates, the Third Crusade was launched by King Philip II of France, King Richard I of England, and Emperor Frederick I of the Holy Roman Empire in 1189. Frederick departed with a huge army, defeated a Seljuk contingent near Philomelion and captured Iconium, but then drowned in the Goksu River near Silifke in Cilicia. Upon his death, Frederick's German crusading host, totaling perhaps 12,000 to 15,000 men, mostly disbanded and a much smaller contingent led by Frederick's son Duke Frederick V of Swabia continued to the Holy Land, where they joined the Siege of Acre. The crusade ended in the 1192 Treaty of Ramla signed by Sultan Saladin and King Richard Coeur de Lion, establishing a three-years armistice and allowing the Muslims to retain control over Jerusalem, while the Crusaders maintained Acre, Jaffa, and other key coastal cities.
Answer this: How many years did the Third Crusade last?

A:
3