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: Love @ First Note is a 2006 Hong Kong teen romance film , written , produced and directed by Dennis Law , and starring Alex Fong , Justin Lo , and Kary Ng . Its title in the original Chinese release was  ., Kary Ng (born 9 June 1986) is a pop rock singer in Hong Kong. When she debuted, she had been a member of a music group, Cookies; however, the members of Cookies were eventually arranged to explore their respective solo careers in 2005, and the group is now disbanded. She had temporarily been the lead vocals of rock band Ping Pung in 2004, but Ping Pung had also disbanded after only releasing one album that same year. Commencing in 2005, Ng had officially begun developing her career as a solo artist., Ping Pung is a Hong Kong-based Cantonese pop-rock group. Gathered by Gold Label in Summer of 2003, the group consists of four members: Kary Ng as the lead singer, Jan and Jerry Lee (who are the younger brothers of the renowned local composer Mark Lui as well as the members of band Online) and DJ Tin "Tim" Ho. Three of the members were of other bands originally., Romance films or romance movies are romantic love stories recorded in visual media for broadcast in theaters and on cinema that focus on passion, emotion, and the affectionate romantic involvement of the main characters and the journey that their genuinely strong, true and pure romantic love takes them through dating, courtship or marriage. Romance films make the romantic love story or the search for strong and pure love and romance the main plot focus. Occasionally, romance lovers face obstacles such as finances, physical illness, various forms of discrimination, psychological restraints or family that threaten to break their union of love. As in all quite strong, deep, and close romantic relationships, tensions of day-to-day life, temptations (of infidelity), and differences in compatibility enter into the plots of romantic films., Subject: love @ first note, Relation: composer, Options: (A) broadcast (B) mark lui

Answer: mark lui


Question: Context: Montenegro (or or ; Montenegrin: "Crna Gora" /   , meaning "Black Mountain") is a sovereign state in Southeastern Europe. It has a coast on the Adriatic Sea to the south-west and is bordered by Croatia to the west, Bosnia and Herzegovina to the northwest, Serbia to the northeast, Kosovo to the east, and Albania to the south-east. Its capital and largest city is Podgorica, while Cetinje is designated as the Old Royal Capital ("prijestonica")., The Cyrillic script is a writing system used for various alphabets across eastern Europe and north and central Asia. It is based on the Early Cyrillic, which was developed in the First Bulgarian Empire during the 9th century AD at the Preslav Literary School. It is the basis of alphabets used in various languages, past and present, in parts of southeastern Europe and northern Eurasia, especially those of Slavic origin, and non-Slavic languages influenced by Russian. , around 252 million people in Eurasia use it as the official alphabet for their national languages, with Russia accounting for about half of them. With the accession of Bulgaria to the European Union on 1 January 2007, Cyrillic became the third official script of the European Union, following the Latin script and Greek script., Zenica is the fourth-largest city in Bosnia and Herzegovina, and the capital of the Zenica-Doboj Canton of the Federation of Bosnia and Herzegovina entity. Zenica is located about north of Sarajevo and is situated on the Bosna river, surrounded by a mountainous and hilly landscape. The city is home to 115,134 inhabitants as of 2013., The Federation of Bosnia and Herzegovina (Bosnian, Croatian and Serbian: ', Cyrillic script: ) is one of the two political entities that compose Bosnia and Herzegovina, the other being Republika Srpska. The Federation of Bosnia and Herzegovina consists of 10 autonomous cantons with their own governments. It is inhabited primarily by Bosniaks and Bosnian Croats, which is why it is sometimes informally referred to as the Bosniak-Croat Federation (with the Bosnian Serbs as the third constituency of the entity). It is sometimes known by the shorter name Federation of B&H (Federacija BiH)., Sarajevo is the capital and largest city of Bosnia and Herzegovina, with a population of 275,524 in its current administrative limits. The Sarajevo metropolitan area, including Sarajevo Canton and East Sarajevo is home to 688,384 inhabitants. Nestled within the greater Sarajevo valley of Bosnia, it is surrounded by the Dinaric Alps and situated along the Miljacka River in the heart of Southeastern Europe and the Balkans., Neum (Cyrillic: ) is the only town to be situated along Bosnia and Herzegovina's of coastline, making it the country's only access to the Adriatic Sea. In 2009 the municipal ("opina") population was 4,605 and in 1991 the population of Neum town ("naselje") was 4,268., Doboj is a city and municipality in northern Bosnia and Herzegovina, Republika Srpska entity, on the river Bosna. Doboj is the largest national railway junction Railways Corporation of Bosnia and Herzegovina are located in Doboj. It is one of the oldest cities in the country and the most important urban center in northern Bosnia and Herzegovina., The Adriatic Sea is a body of water separating the Italian Peninsula from the Balkan peninsula and the Apennine Mountains from the Dinaric Alps and adjacent ranges. The Adriatic is the northernmost arm of the Mediterranean Sea, extending from the Strait of Otranto (where it connects to the Ionian Sea) to the northwest and the Po Valley. The countries with coasts on the Adriatic are Albania, Bosnia and Herzegovina, Croatia, Greece, Italy, Montenegro and Slovenia. The Adriatic contains over 1,300 islands, mostly located along its eastern, Croatian, coast. It is divided into three basins, the northern being the shallowest and the southern being the deepest, with a maximum depth of . The Otranto Sill, an underwater ridge, is located at the border between the Adriatic and Ionian Seas. The prevailing currents flow counterclockwise from the Strait of Otranto, along the eastern coast and back to the strait along the western (Italian) coast. Tidal movements in the Adriatic are slight, although larger amplitudes are known to occur occasionally. The Adriatic's salinity is lower than the Mediterranean's because the Adriatic collects a third of the fresh water flowing into the Mediterranean, acting as a dilution basin. The surface water temperatures generally range from in summer to in winter, significantly moderating the Adriatic Basin's climate., The Zenica - Doboj Canton ( Bosnian : Zeniko - dobojski kanton ) is the fourth of 10 cantons of the Federation of Bosnia and Herzegovina in Bosnia and Herzegovina.The capital is Zenica ., The Bosniaks (/, ; singular masculine: "Bošnjak"/, feminine: "Bošnjakinja"/) are a South Slavic nation and ethnic group inhabiting mainly the area of Bosnia and Herzegovina. A native minority of Bosniaks live in other countries in the Balkans; especially in the Sandžak region of Serbia and Montenegro (where Bosniaks form a regional majority), and in Croatia and Kosovo. Bosniaks are typically characterized by their historic tie to the Bosnian historical region, traditional majority adherence to Islam since the 15th and 16th centuries, common culture and Bosnian language. English-speakers frequently refer to Bosniaks as "Bosnian Muslims" or simply as Bosnians, though the latter term can also denote all inhabitants of Bosnia and Herzegovina (regardless of ethnic origin) or apply to citizenship in the country., Herzegovina (or ; Bosnian, Croatian and Serbian: "Hercegovina", ) is the southern region of Bosnia and Herzegovina. While there is no official border distinguishing it from the Bosnian region, it is generally accepted that the borders of the region are Croatia to the southwest, Montenegro to the east, Mount Magli to the northeast, and Mount Ivan to the north. Measurements of the area range from , or around 22% of the total area of the present-day country, to , around 24% of the country., Croatia, officially the Republic of Croatia, is a sovereign state between Central Europe, Southeast Europe, and the Mediterranean. Its capital city is Zagreb, which forms one of the country's primary subdivisions, along with its twenty counties. Croatia covers and has diverse, mostly continental and Mediterranean climates. Croatia's Adriatic Sea coast contains more than a thousand islands. The country's population is 4.28 million, most of whom are Croats, with the most common religious denomination being Roman Catholicism., Serbia, officially the Republic of Serbia, is a sovereign state situated at the crossroads of Central and Southeast Europe, covering the southern part of the Pannonian Plain and the central Balkans. Relative to its small territory, it is a diverse country distinguished by a "transitional" character, situated along cultural, geographic, climatic and other boundaries. Serbia is landlocked and borders Hungary to the north; Romania and Bulgaria to the east; Macedonia to the south; and Croatia, Bosnia-Herzegovina, and Montenegro to the southwest; it also claims a border with Albania through the disputed territory of Kosovo. Serbia numbers around 7 million residents, and its capital, Belgrade, ranks among the largest cities in Southeast Europe., Continental climates are defined in the Köppen climate classification has having a coldest month mean temperature below -3 C (26.6 F) or 0 °C depending on which isotherm used for the coldest month and four months above 10 °C. In the Köppen climate system, Continental climates were bordered to the south by Temperate climates or C climates (coldest month above 0 C, but below 18 C) and to the north by Boreal climate or E climates (only 1 to 3 months with a mean temperature of 50 F). Köppen also defined continental climates as having more than 30 days with continuous snowcover on the ground. , Republika Srpska is one of two constitutional and legal entities of Bosnia and Herzegovina, the other being the Federation of Bosnia and Herzegovina. The entities are largely autonomous. The administrative centre is Banja Luka., Bosnia and Herzegovina (or ; B&H; Bosnian, Croatian, Serbian: "Bosna i Hercegovina" / a   ), sometimes called Bosnia-Herzegovina (BiH), and, in short, often known informally as Bosnia, is a country in Southeastern Europe located on the Balkan Peninsula. Sarajevo is the capital and largest city. Bordered by Croatia to the north, west, and south; Serbia to the east; Montenegro to the southeast; and the Adriatic Sea to the south, with a coastline about long surrounding the city of Neum. In the central and eastern interior of the country the geography is mountainous, in the northwest it is moderately hilly, and the northeast is predominantly flatland. The inland is a geographically larger region and has a moderate continental climate, with hot summers and cold and snowy winters. The southern tip of the country has a Mediterranean climate and plain topography., A mediterranean climate or dry summer climate is the climate typical of the lands in the Mediterranean Basin. The lands around the Mediterranean Sea form the largest area where this climate type is found, but it also is found in most of coastal California, in parts of Western and South Australia, in southwestern South Africa, sections of Central Asia, and in central Chile., Subject: zenica-doboj canton, Relation: instance_of, Options: (A) 1 (B) administrative centre (C) alphabet (D) area (E) balkans (F) body of water (G) border (H) bosnia and herzegovina (I) canton of the federation of bosnia and herzegovina (J) capital (K) city (L) classification (M) climate (N) climate type (O) coast (P) country (Q) day (R) disputed territory (S) empire (T) ethnic group (U) federation (V) group (W) historical region (X) january (Y) mediterranean sea (Z) metropolitan area ([) month (\) mountain (]) name (^) nation (_) plain (`) population (a) range (b) region (c) religious denomination (d) republic (e) salinity (f) school (g) script (h) sea (i) serbian (j) sill (k) state (l) surface (m) system (n) temperature (o) term (p) territory (q) three (r) town (s) two (t) valley (u) writing (v) writing system

Answer: canton of the federation of bosnia and herzegovina


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