In this task, you are given a context, a subject, a relation, and many options. Based on the context, from the options select the object entity that has the given relation with the subject. Answer with text (not indexes).
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Question: Context: Latin (Latin: ) is a classical language belonging to the Italic branch of the Indo-European languages. The Latin alphabet is derived from the Etruscan and Greek alphabets., In mathematics, a rational number is any number that can be expressed as the quotient or fraction "p"/"q" of two integers, a numerator "p" and a non-zero denominator "q". Since "q" may be equal to 1, every integer is a rational number. The set of all rational numbers, often referred to as "the rationals", is usually denoted by a boldface Q (or blackboard bold formula_1, Unicode ); it was thus denoted in 1895 by Giuseppe Peano after "quoziente", Italian for "quotient"., In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers. If these integers are further restricted to prime numbers, the process is called prime factorization., A primality test is an algorithm for determining whether an input number is prime. Among other fields of mathematics, it is used for cryptography. Unlike integer factorization, primality tests do not generally give prime factors, only stating whether the input number is prime or not. Factorization is thought to be a computationally difficult problem, whereas primality testing is comparatively easy (its running time is polynomial in the size of the input). Some primality tests "prove" that a number is prime, while others like MillerRabin prove that a number is composite. Therefore, the latter might be called "compositeness tests" instead of primality tests., Number theory or, in older usage, arithmetic is a branch of pure mathematics devoted primarily to the study of the integers. It is sometimes called "The Queen of Mathematics" because of its foundational place in the discipline. Number theorists study prime numbers as well as the properties of objects made out of integers (e.g., rational numbers) or defined as generalizations of the integers (e.g., algebraic integers)., A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. A natural number greater than 1 that is not a prime number is called a composite number. For example, 5 is prime because 1 and 5 are its only positive integer factors, whereas 6 is composite because it has the divisors 2 and 3 in addition to 1 and 6. The fundamental theorem of arithmetic establishes the central role of primes in number theory: any integer greater than 1 can be expressed as a product of primes that is unique up to ordering. The uniqueness in this theorem requires excluding 1 as a prime because one can include arbitrarily many instances of 1 in any factorization, e.g., 3, 1 · 3, 1 · 1 · 3, etc. are all valid factorizations of 3., Paul Leyland is a British number theorist who has studied integer factorization and primality testing., Broadly speaking, pure mathematics is mathematics that studies entirely abstract concepts. This was a recognizable category of mathematical activity from the 19th century onwards, at variance with the trend towards meeting the needs of navigation, astronomy, physics, economics, engineering, and so on., In number theory , a Leyland number is a number of the form x ^ y + y ^ x where x and y are integers greater than 1 . They are named after the mathematician Paul Leyland . The first few Leyland numbers are 8 , 17 , 32 , 54 , 57 , 100 , 145 , 177 , 320 , 368 , 512 , 593 , 945 , 1124 ( sequence A076980 in OEIS ) . The requirement that x and y both be greater than 1 is important , since without it every positive integer would be a Leyland number of the form x1 + 1x . Also , because of the commutative property of addition , the condition x  y is usually added to avoid double - covering the set of Leyland numbers ( so we have 1 < y  x ) . The first prime Leyland numbers are 17 , 593 , 32993 , 2097593 , 8589935681 , 59604644783353249 , 523347633027360537213687137 , 43143988327398957279342419750374600193 ( A094133 ) corresponding to 32 +23 , 92 +29 , 152 +215 , 212 +221 , 332 +233 , 245 +524 , 563 +356 , 3215 +1532 . One can also fix the value of y and consider the sequence of x values that gives Leyland primes , for example x2 + 2x is prime for x = 3 , 9 , 15 , 21 , 33 , 2007 , 2127 , 3759 , ... ( A064539 ) . By November 2012 , the largest Leyland number that had been proven to be prime was 51226753 + 67535122 with 25050 digits . From January 2011 to April 2011 , it was the largest prime whose primality was proved by elliptic curve primality proving . In December 2012 , this was improved by proving the primality of the two numbers 311063 + 633110 ( 5596 digits ) and 86562929 + 29298656 ( 30008 digits ) , the latter of which surpassed the previous record . There are many larger known probable primes such as 3147389 + 9314738 , but it is hard to prove primality of large Leyland numbers . Paul Leyland writes on his website : `` More recently still , it was realized that numbers of this form are ideal test cases for general purpose primality proving programs . They have a simple algebraic description but no obvious cyclotomic properties which special purpose algorithms can exploit . '' There is a project called XYYXF to factor composite Leyland numbers ., An integer (from the Latin "integer" meaning "whole") is a number that can be written without a fractional component. For example, 21, 4, 0, and 2048 are integers, while 9.75, , and  are not., In Algebraic number theory, an algebraic integer is a complex number that is a root of some monic polynomial (a polynomial whose leading coefficient is 1) with coefficients in formula_1 (the set of integers). The set of all algebraic integers, , is closed under addition and multiplication and therefore is a commutative subring of the complex numbers. The ring is the integral closure of regular integers formula_1 in complex numbers., Subject: leyland number, Relation: subclass_of, Options: (A) algorithm (B) blackboard (C) branch (D) category (E) complex number (F) decomposition (G) economics (H) engineering (I) integer (J) language (K) latin (L) mathematics (M) meeting (N) natural (O) natural number (P) number (Q) out (R) polynomial (S) problem (T) process (U) rational number (V) ring (W) set (X) test (Y) theorem (Z) theory ([) thought (\) time

Answer: natural number


Question: Context: The Romanian Communist Party (Romanian: "", PCR) was a communist party in Romania. Successor to the pro-Bolshevik wing of the Socialist Party of Romania, it gave ideological endorsement to communist revolution and the disestablishment of Greater Romania. The PCR was a minor and illegal grouping for much of the interwar period, and submitted to direct Comintern control. During the 1930s, most of its activists were imprisoned or took refuge in the Soviet Union, which led to the creation of separate and competing factions until the 1950s. The Communist Party emerged as a powerful actor on the Romanian political scene in August 1944, when it became involved in the royal coup that toppled the pro-Nazi government of Ion Antonescu. With support from Soviet occupation forces, the PCR was able to force King Michael I into exile, and establish undisguised Communist rule in 1948. From then until 1989, it was for all intents and purposes the only legally permitted party in the country., Vasile Milea ( 1 January 1927 , Lereti , Arge -- 22 December 1989 ) was Nicolae Ceauescu 's minister of defense during the Romanian Revolution of 1989 and was involved in the reprisal phase of the revolution that caused the deaths of 162 people . On 22 December 1989 , Ceauescu sacked him for not ordering his men to fire on the demonstrators who 'd taken to the streets of Bucharest a day earlier . According to the official account , Ceauescu considered this an act of treason , and Milea committed suicide shortly afterward . However , several members of his family claim that he was killed on the orders of Ceauescu . Milea was already in severe disfavour for sending troops to quell the uprising in Timioara without ammunition . Whatever the case , Milea 's death caused the rank - and - file soldiers to go over almost en masse to the revolution , effectively ending Communist rule in Romania . A report from 2005 after a full investigation including a postmortem concludes that Milea killed himself using the weapon of one of his attendants . It seems that he only tried to get incapacitated in order to be relieved from office . But the bullet hit an artery and he died soon afterwards ., The Romanian Revolution was a period of violent civil unrest in Romania in December 1989 and part of the Revolutions of 1989 that occurred in several countries. The Romanian Revolution started in the city of Timioara and soon spread throughout the country, ultimately culminating in the show trial and execution of longtime Communist leader Nicolae Ceauescu, and the end of 42 years of Communist rule in Romania. It was also the last removal of a Communist government in a Warsaw Pact country during the events of 1989, and the only one that violently overthrew a country's government and executed its leader., Romania is a sovereign state located in Southeastern Europe. It borders the Black Sea, Bulgaria, Ukraine, Hungary, Serbia, and Moldova. It has an area of and a temperate-continental climate. With 19.94 million inhabitants, the country is the seventh-most-populous member state of the European Union. The capital and largest city, Bucharest, with its 1,883,425 inhabitants is the sixth-largest city in the EU., Nicolae Ceauescu (26 January 1918  25 December 1989) was a Romanian Communist politician. He was general secretary of the Romanian Communist Party from 1965 to 1989, and as such was the country's second and last Communist leader. He was also the country's head of state from 1967 to 1989., The Warsaw Pact, formally the Treaty of Friendship, Co-operation, and Mutual Assistance and sometimes, informally, WarPac. was a collective defense treaty among the Soviet Union and seven other Soviet satellite states in Central and Eastern Europe in existence during the Cold War. The Warsaw Pact was the military complement to the Council for Mutual Economic Assistance (CoMEcon), the regional economic organization for the communist states of Central and Eastern Europe. The Warsaw Pact was created in reaction to the integration of West Germany into NATO in 1955 per the London and Paris Conferences of 1954, but it is also considered to have been motivated by Soviet desires to maintain control over military forces in Central and Eastern Europe., Subject: vasile milea, Relation: member_of_political_party, Options: (A) romanian communist party (B) socialist party (C) union

Answer: romanian communist party


Question: Context: Hong Kong, officially the Hong Kong Special Administrative Region of the People's Republic of China, is an autonomous territory on the Pearl River Delta of East Asia. Macau lies across the delta to the west, and the Chinese province of Guangdong borders the territory to the north. With a total land area of and a population of over 7.3 million of various nationalities, it ranks as the world's fourth most densely populated sovereign state or territory., Bowen Road is a road from the Mid-levels to Wong Nai Chung Gap of Hong Kong Island, on the slope above Central, Wan Chai and Happy Valley in Hong Kong. Bowen Road starts from Magazine Gap Road near the rail of Peak Tram and ends at the junction with Stubbs Road, Tai Hang Road and Wong Nai Chung Gap Road., The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain, is a sovereign country in western Europe. Lying off the north-western coast of the European mainland, it includes the island of Great Britain (the name of which is also loosely applied to the whole country), the north-eastern part of the island of Ireland, and many smaller islands. Northern Ireland is the only part of the UK that shares a land border with another sovereign statethe Republic of Ireland. Apart from this land border, the UK is surrounded by the Atlantic Ocean, with the North Sea to its east, the English Channel to its south and the Celtic Sea to its south-south-west, giving it the 12th-longest coastline in the world. The Irish Sea lies between Great Britain and Ireland. With an area of , the UK is the 78th-largest sovereign state in the world and the 11th-largest in Europe. It is also the 21st-most populous country, with an estimated 65.1 million inhabitants. Together, this makes it the fourth most densely populated country in the European Union., Urban decay (also known as urban rot and urban blight) is the process whereby a previously functioning city, or part of a city, falls into disrepair and decrepitude. It may feature deindustrialization, depopulation or changing population, restructuring, abandoned buildings, high local unemployment, fragmented families, political disenfranchisement, crime, and a desolate, inhospitable city landscape., Urban renewal, which is generally called urban regeneration ("regeneration" in the United Kingdom), "revitalization" in the United States, is a program of land redevelopment in areas of moderate to high density urban land use. Renewal has had both successes and failures. Its modern incarnation began in the late 19th century in developed nations and experienced an intense phase in the late 1940s  under the rubric of reconstruction. The process has had a major impact on many urban landscapes, and has played an important role in the history and demographics of cities around the world., Amoy Street (  ) is a street in the Wan Chai area of Hong Kong Island , Hong Kong . It connects Johnston Road in the north to Queen 's Road East in the south . Amoy is an old name of the Chinese city of Xiamen . It has been described as `` shy and retiring '' by Time Out because it is a cul - de - sac with steps at one end ., The Treaty of Nanking or Nanjing was a peace treaty which ended the First Opium War (183942) between the United Kingdom and the Qing dynasty of China on 29 August 1842. It was the first of what the Chinese later called the "unequal treaties" on the ground that Britain had no obligations in return., The Hong Kong Convention and Exhibition Centre (HKCEC) is one of the two major convention and exhibition venues in :Hong Kong, along with AsiaWorld-Expo. It is located in Wan Chai North, Hong Kong Island. Built along the Victoria Harbour, it is linked by covered walkways to nearby hotels and commercial buildings. The venue was designed by Skidmore, Owings & Merrill LLP, in association with Wong & Ouyang (HK) Ltd. Larry Oltmanns led the design as the Design Partner with SOM., Kinmen or Quemoy (see also "Names" section below), officially Kinmen County, is a group of islands, governed by the Republic of China (ROC), which is located just off the southeastern coast of mainland China, including Great Kinmen, Lesser Kinmen, Wuqiu and several surrounding islets. It is one of two counties under the streamlined Fujian Province of the Republic of China. Only about east of the mainland city of Xiamen, its strategic position has reflected the significant change of Cross-Strait relations from a battlefront to a trading point between China and Taiwan. Due to the ongoing issue of the political status of Taiwan, the People's Republic of China (PRC) has continuously claimed Kinmen as part of its own Fujian Province's Quanzhou prefecture-level city., Wan Chai District (literally "Cove District") is one of the 18 districts of Hong Kong. The district is located at the north shore of Hong Kong Island with a population of 167,146 in 2001. The district has the second most educated residents with the highest income, the second lowest population and the third oldest residents, and is also the only district without the presence of public housing estates. It is a relatively affluent district, with one in five persons having liquid assets of more than HKD 1 million., Hong Kong Island is an island in the southern part of Hong Kong. It has a population of 1,289,500 and its population density is 16,390/km², . The island had a population of about 3,000 inhabitants scattered in a dozen fishing villages when it was occupied by the United Kingdom in the First Opium War. In 1842, the island was formally ceded in perpetuity to the UK under the Treaty of Nanking and the City of Victoria was then established on the island by the British Force in honour of Queen Victoria., Taiwan, officially the Republic of China (ROC), is a state in East Asia. Neighbors include China (officially the People's Republic of China, abbreviated as PRC) to the west, Japan to the northeast, and the Philippines to the south.
Taiwan is the most populous state that is not a member of the United Nations, and the one with the largest economy., Fujian (pronounced ), formerly romanised as Foken, Fouken, Fukien, and Hokkien, is a province on the southeast coast of mainland China. Fujian is bordered by Zhejiang to the north, Jiangxi to the west, and Guangdong to the south. The name Fujian came from the combination of Fuzhou and Jianzhou (a former name for Jian'ou) two cities in Fujian, during the Tang dynasty. While its population is chiefly of Han origin, it is one of the most culturally and linguistically diverse provinces in China., Wan Chai is a metropolitan area situated at the western part of the Wan Chai District on the northern shore of Hong Kong Island, in Hong Kong. Its other boundaries are Canal Road to the east, Arsenal Street to the west and Bowen Road to the south. The area north of Gloucester Road is often referred to as Wan Chai North. Wan Chai is one of the busiest commercial areas in Hong Kong with offices of many small and medium-sized companies. Wan Chai North features office towers, parks, hotels and an international conference and exhibition centre. As one of the first areas developed in Hong Kong, the locale is densely populated yet with noticeable residential zones facing urban decay. Arousing considerable public concern, the government has undertaken several urban renewal projects in recent years. There are many unique landmarks and skyscrapers within the area, most notably the Hong Kong Convention and Exhibition Centre (HKCEC), Central Plaza and Hopewell Centre., Xiamen, formerly romanized as Amoy, is a sub-provincial city in southeastern Fujian, China, beside the Taiwan Strait. It is divided into six districts: Huli, Siming, Jimei, Tong'an, Haicang, and Xiang'an. Altogether, these cover an area of with a population of 3,531,347 as of 2010. The urbanized area of the city has spread from its original island to include parts of all six of its districts, with a total population of 1,861,289. This area connects to Quanzhou in the north and Zhangzhou in the west, making up a metropolis of more than five million people. The Jinmen or Kinmen Islands administered by the Republic of China lie less than away., China, officially the People's Republic of China (PRC), is a unitary sovereign state in East Asia. With a population of over 1.381 billion, it is the world's most populous country. The state is governed by the Communist Party of China, and its capital is Beijing. It exercises jurisdiction over 22 provinces, five autonomous regions, four direct-controlled municipalities (Beijing, Tianjin, Shanghai, and Chongqing), and two mostly self-governing special administrative regions (Hong Kong and Macau), and claims sovereignty over Taiwan. The country's major urban areas include Shanghai, Guangzhou, Beijing, Chongqing, Shenzhen, Tianjin and Hong Kong. China is a great power and a major regional power within Asia, and has been characterized as a potential superpower., Quanzhou, formerly known as Chinchew, is a prefecture-level city beside the Taiwan Strait in Fujian Province, China. Its is Fujian's largest metropolitan region, with an area of and, as of the 2010 census, a population of 8,128,530. Its built-up area is home to 6,107,475 inhabitants, encompassing the Licheng, Fengze, and Luojiang urban districts; Jinjiang, Nan'an, and Shishi cities; Hui'an County; and the Quanzhou District for Taiwanese Investment. Quanzhou was China's 12th-largest extended metropolitan area in 2010., Johnston Road is a major road in Wan Chai on the Hong Kong Island of Hong Kong., Victoria (Alexandrina Victoria; 24 May 1819  22 January 1901) was Queen of the United Kingdom of Great Britain and Ireland from 20 June 1837 until her death. From 1 May 1876, she adopted the additional title of Empress of India., The Taiwan Strait, or Formosa Strait, is a wide strait separating the island of Taiwan (of the Republic of China) from mainland China (People's Republic of China). The strait is part of the South China Sea and connects to the East China Sea to the north. The narrowest part is wide., Queen's Road East is a street in Wan Chai, in the north of Hong Kong Island, Hong Kong, connecting Admiralty in the west to Happy Valley in the east. Queen's Road East is one of the four sections of Queen's Road, and historically included Queensway., Zhangzhou, formerly romanized as Changchow, is a prefecture-level city in Fujian Province, China. The prefecture around the city proper comprises the southeast corner of the province, facing the Taiwan Strait and surrounding the prefecture of Xiamen. During the 2010 census, the entire area of Zhangzhou was home to 4,809,983 inhabitants. Along with the 1.9m people of central Xiamen, its urban districts of Longwen and Xiangcheng, together with Longhai, form a single metropolitan area of about 5 million people ., The First Opium War (, 183942), also known as the Opium War and the Anglo-Chinese War, was fought between the United Kingdom and the Qing dynasty over their conflicting viewpoints on diplomatic relations, trade, and the administration of justice for foreign nationals in China., Subject: amoy street , Relation: located_in_the_administrative_territorial_entity, Options: (A) atlantic ocean (B) beijing (C) china (D) chongqing (E) cross (F) east china (G) european union (H) fujian (I) fujian province (J) fuzhou (K) gap (L) gloucester (M) guangzhou (N) hong kong (O) hong kong island (P) india (Q) ireland (R) jiangxi (S) johnston (T) kinmen (U) mainland (V) most (W) nan (X) nanjing (Y) northern ireland (Z) of ([) philippines (\) quanzhou (]) queen victoria (^) river (_) road (`) south (a) street (b) stubbs (c) taiwan (d) tianjin (e) united kingdom (f) victoria (g) wan chai district (h) west (i) xiamen (j) zhangzhou

Answer:
wan chai district