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).

Input: Consider Input: 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

Output: natural number


Input: Consider Input: Context: The Soviet Union, officially the Union of Soviet Socialist Republics (USSR " ) was a socialist state in Eurasia that existed from 1922 to 1991. A union of multiple subnational republics, its government and economy were highly centralized. The Soviet Union was a one-party federation, governed by the Communist Party with Moscow as its capital., Belarusian ("" ) is an official language of Belarus, along with Russian, and is spoken abroad, chiefly in Russia, Ukraine, and Poland.
Before Belarus gained independence from the Soviet Union in 1991, the language was known in English as "Byelorussian" or "Belorussian", transliterating the Russian name, , or alternatively as "White Ruthenian" or "White Russian" (with the meaning "Rus"' but not "Russia"). Following independence, it also became known as "Belarusian"., Eastern Europe, also known as East Europe, is the eastern part of the European continent. There is no consensus on the precise area it covers, partly because the term has a wide range of geopolitical, geographical, cultural, and socioeconomic connotations. There are "almost as many definitions of Eastern Europe as there are scholars of the region". A related United Nations paper adds that "every assessment of spatial identities is essentially a social and cultural construct"., The United Nations (UN) is an intergovernmental organization to promote international co-operation. A replacement for the ineffective League of Nations, the organization was established on 24 October 1945 after World War II in order to prevent another such conflict. At its founding, the UN had 51 member states; there are now 193. The headquarters of the United Nations is in Manhattan, New York City, and experiences extraterritoriality. Further main offices are situated in Geneva, Nairobi, and Vienna. The organization is financed by assessed and voluntary contributions from its member states. Its objectives include maintaining international peace and security, promoting human rights, fostering social and economic development, protecting the environment, and providing humanitarian aid in cases of famine, natural disaster, and armed conflict., Ukraine (tr. ) is a sovereign state in Eastern Europe, bordered by Russia to the east and northeast, Belarus to the northwest, Poland and Slovakia to the west, Hungary, Romania, and Moldova to the southwest, and the Black Sea and Sea of Azov to the south and southeast, respectively. Ukraine is currently in territorial dispute with Russia over the Crimean Peninsula which Russia annexed in 2014 but which Ukraine and most of the international community recognise as Ukrainian. Including Crimea, Ukraine has an area of , making it the largest country entirely within Europe and the 46th largest country in the world. It has a population of about 44.5 million, making it the 32nd most populous country in the world., A continent is one of several very large landmasses on Earth. Generally identified by convention rather than any strict criteria, up to seven regions are commonly regarded as continents. Ordered from largest in size to smallest, they are: Asia, Africa, North America, South America, Antarctica, Europe, and Australia. In geology, areas of continental crust include regions covered with water., Europe is a continent that comprises the westernmost part of Eurasia. Europe is bordered by the Arctic Ocean to the north, the Atlantic Ocean to the west, and the Mediterranean Sea to the south. To the east and southeast, Europe is generally considered as separated from Asia by the watershed divides of the Ural and Caucasus Mountains, the Ural River, the Caspian and Black Seas, and the waterways of the Turkish Straits. Yet the non-oceanic borders of Europea concept dating back to classical antiquityare arbitrary. The primarily physiographic term "continent" as applied to Europe also incorporates cultural and political elements whose discontinuities are not always reflected by the continent's current overland boundaries., Russia (from the  Rus'), also officially known as the Russian Federation, is a country in Eurasia. At , Russia is the largest country in the world by surface area, covering more than one-eighth of the Earth's inhabited land area, and the ninth most populous, with over 140 million people at the end of March 2016. The European western part of the country is much more populated and urbanised than the eastern, about 77% of the population live in European Russia. Russia's capital Moscow is one of the largest cities in the world, other major urban centers include Saint Petersburg, Novosibirsk, Yekaterinburg, Nizhny Novgorod and Samara., Historical Ruthenia is a proper geographical exonym for Kievan Rus' and other, more local, historical states. It was applied to the area where Ruthenians lived., Francysk Skaryna ( pronounced ( frantssk skarna ) ; or Skoryna ; Belarusian :  (  )  ; ca . 1490 -- before 29 January 1552 ) was a Belarusian humanist , physician , translator and one of the first book printers in Eastern Europe , laying the groundwork for the development of the Belarusian language ., Belarus ( lat. ', ), officially the Republic of Belarus, formerly known by its Russian name Byelorussia (though this name is no longer used in Belarus itself, even in Russian language), is a landlocked country in Eastern Europe bordered by Russia to the northeast, Ukraine to the south, Poland to the west, and Lithuania and Latvia to the northwest. Its capital and most populous city is Minsk. Over 40% of its is forested. Its strongest economic sectors are service industries and manufacturing. Until the 20th century, different states at various times controlled the lands of modern-day Belarus, including the Principality of Polotsk (11th to 14th centuries), the Grand Duchy of Lithuania, the PolishLithuanian Commonwealth, and the Russian Empire., East is one of the four cardinal directions or points of the compass. It is the opposite direction from west., Poland, officially the Republic of Poland, is a country in Central Europe, situated between the Baltic Sea in the north and two mountain ranges (the Sudetes and Carpathian Mountains) in the south. Bordered by Germany to the west; the Czech Republic and Slovakia to the south; Ukraine and Belarus to the east; and the Baltic Sea, Kaliningrad Oblast (a Russian exclave) and Lithuania to the north. The total area of Poland is , making it the 69th largest country in the world and the 9th largest in Europe. With a population of over 38.5 million people, Poland is the 34th most populous country in the world, the 8th most populous country in Europe and the sixth most populous member of the European Union. Poland is a unitary state divided into 16 administrative subdivisions, and its capital and largest city is Warsaw. Other metropolises include Kraków, Wrocaw, Pozna, Gdask and Szczecin., Subject: francysk skaryna, Relation: place_of_birth, Options: (A) africa (B) belarus (C) crimean peninsula (D) czech republic (E) grand duchy of lithuania (F) hungary (G) ii (H) kaliningrad oblast (I) kraków (J) latvia (K) lithuania (L) manhattan (M) march (N) minsk (O) moscow (P) nairobi (Q) new york (R) new york city (S) nizhny novgorod (T) of (U) petersburg (V) poland (W) polotsk (X) poznań (Y) republic (Z) romania ([) russia (\) russian empire (]) ruthenia (^) slovakia (_) south america (`) southeast (a) soviet union (b) ukraine (c) union (d) vienna (e) warsaw (f) york

Output: polotsk


Input: Consider Input: Context: X-Men 2 : Fall of the Mutants is a role - playing video game for the PC , developed and released by Paragon Software in 1990 . It follows the basic story of the X-Men crossover storyline `` Fall of the Mutants '' . The game is the sequel to Paragon 's 1989 release X-Men : Madness in Murderworld ., The Commodore 64, also known as the C64, C-64, C= 64, or occasionally CBM 64 or VIC-64 in Sweden, is an 8-bit home computer introduced in January 1982 by Commodore International. It is listed in the Guinness World Records as the highest-selling single computer model of all time, with independent estimates placing the number sold between 10 and 17 million units. Volume production started in early 1982, marketing in August for . Preceded by the Commodore VIC-20 and Commodore PET, the C64 took its name from its of RAM. It had superior sound and graphical specifications compared to other earlier systems such as the Apple II and Atari 800, with multi-color sprites and a more advanced sound processor., A role-playing video game (commonly referred to as role-playing game or RPG, and in the past was also known as computer role-playing game or CRPG) is a video game genre where the player controls the actions of a character (and/or several party members) immersed in some well-defined world. Many role-playing video games have origins in pen-and-paper role-playing games (Including "Dungeons & Dragons") and use much of the same , settings and game mechanics. Other major similarities with pen-and-paper games include developed story-telling and narrative elements, player character development, complexity, as well as replayability and immersion. The electronic medium removes the necessity for a gamemaster and increases combat resolution speed. RPGs have evolved from simple text-based console-window games into visually rich 3D experiences. Since the 1980s, Role-playing is the most commercially viable video game genre in Japan, and has more market share of any other genre in the japanese gaming industry, although in the 2010s first-person shooters and western iOS and Android games were becoming rapidly and increasingly popular in that country., The Amiga is a family of personal computers sold by Commodore in the 1980s and 1990s. Based on the Motorola 68000 family of microprocessors, the machine has a custom chipset with graphics and sound capabilities that were unprecedented for the price, and a pre-emptive multitasking operating system called AmigaOS. The Amiga provided a significant upgrade from earlier 8-bit home computers, including Commodore's own C64., Paragon Software Corporation or just Paragon Software was a video games developer that was founded in 1985 by Mark E. Seremet and Antony Davies. Paragon released its first game in 1987 and is primarily known for their work on role-playing video games based on Marvel Comics franchises and GDW role-playing settings. They released titles on the following platforms; ZX Spectrum, Amiga, PC:DOS, Atari ST and Commodore 64. Paragon Software was published through MicroProse, and was based out of Greensburg, Pennsylvania, United States. MicroProse acquired Paragon outright in July, 1992. As part of MicroProse, the Paragon team developed Challenge of the Five Realms and BloodNet. Soon after, many of the former Paragon principals moved on to co-found or work for Take-Two Interactive, and what was once Paragon ceased to exist., The ZX Spectrum is an 8-bit personal home computer released in the United Kingdom in 1982 by Sinclair Research Ltd. It was manufactured in Dundee, Scotland, in the now closed Timex factory., DOS , short for "disk operating system", is an acronym used to describe the family of several very similar command-line computer operating systems for x86-based computers: primarily MS-DOS and PC DOS, but also DR-DOS, FreeDOS, ROM-DOS, and PTS-DOS. None of these systems were officially named "DOS", and indeed "DOS" is a general term for disk operating system., A player character or playable character (PC) is a fictional character in a role-playing or video game whose actions are directly controlled by a player of the game rather than the rules of the game. The characters that are not controlled by a player are called non-player characters (NPCs). The actions of non-player characters are typically handled by the game itself in video games, or according to rules followed by a gamemaster refereeing tabletop role-playing games. The player character functions as a fictional, alternate body for the player controlling it., The Atari ST is a line of home computers from Atari Corporation and the successor to the Atari 8-bit family. The initial ST model, the 520ST, saw limited release in the spring of 1985 and was widely available in July. The Atari ST is the first personal computer to come with a bit-mapped color GUI, using a version of Digital Research's GEM released in February 1985. The 1040ST, released in 1986, is the first personal computer to ship with a megabyte of RAM in the base configuration and also the first with a cost-per-kilobyte of less than US$1., Subject: x-men ii: the fall of the mutants, Relation: platform, Options: (A) amiga (B) android (C) apple ii (D) atari (E) atari st (F) commodore 64 (G) commodore pet (H) dos (I) home computer (J) ios (K) motorola 68000 (L) pc (M) zx spectrum


Output: dos