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).

[EX Q]: 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
[EX A]: natural number

[EX Q]: Context: Donald Campbell Dewar (21 August 1937  11 October 2000) was a Scottish politician, the inaugural First Minister of Scotland and an advocate of Scottish devolution., The Scottish Parliament (Scots: "The Scots Pairlament"), is the devolved national, unicameral legislature of Scotland. Located in the Holyrood area of the capital city, Edinburgh, it is frequently referred to by the metonym Holyrood., The First Minister of Scotland is the leader of the Scottish Government. The First Minister chairs the Scottish Cabinet and is primarily responsible for the formulation, development and presentation of Scottish Government policy. Additional functions of the First Minister include promoting and representing Scotland, in an official capacity, at home and abroad and responsibility for constitutional affairs, as they relate to devolution and the Scottish Government., The McLeish government ( 27 October 2000 -- 8 November 2001 ) was formed following the death of Donald Dewar on 11 October 2000 during the 1st Scottish Parliament . Henry McLeish was appointed as First Minister on 27 October 2000 . It was a continuation of the Labour -- Liberal Democrat coalition that had been formed following the first election to the Scottish Parliament in 1999 ., This is a list of members (MSPs) returned to the first Scottish Parliament at the 1999 election. Of the 129 members, 73 were elected from first past the post constituencies with a further 56 members being returned from eight regions, each electing seven MSPs as a form of mixed member proportional representation ., Subject: mcleish government, Relation: instance_of, Options: (A) 1937 (B) area (C) august (D) cabinet (E) eight (F) government (G) legislature (H) list (I) member (J) minister (K) october (L) official (M) parliament (N) politician (O) scottish (P) seven
[EX A]: cabinet

[EX Q]: Context: Paths of Glory is a 1957 American anti-war film by Stanley Kubrick based on the novel of the same name by Humphrey Cobb. Set during World War I, the film stars Kirk Douglas as Colonel Dax, the commanding officer of French soldiers who refuse to continue a suicidal attack. Dax attempts to defend them against a charge of cowardice in a court-martial., The Famous Players Film Company or Celebrated Players was a film company.It was founded in 1912 by Adolph Zukor in partnership with the Frohman brothers, the powerful New York City theatre impresarios. Discussions to form the company were held at The Lambs, the famous theater club where Charles and Daniel Frohman were members. The company advertised "Famous Players in Famous Plays" and its first release was the French film "Les Amours de la reine Élisabeth" (1912) starring Sarah Bernhardt and Lou Tellegen. Its first actual production was "The Count of Monte Cristo" (1912, released 1913), directed by Edwin S. Porter and starring James O'Neill, the father of dramatist Eugene O'Neill. The company established a studio on 26th Street in New York City that today is Chelsea Studios., Apulia ( Apoulia) is a region of Italy in Southern Italy bordering the Adriatic Sea in the east, the Ionian Sea to the southeast, and the Strait of Òtranto and Gulf of Taranto in the south. Its southernmost portion, known as the Salento peninsula, forms a "stiletto" on the "boot" of Italy. The region comprises , and its population is about 4 million., The Sheik is a 1921 American silent romantic drama film produced by Famous Players - Lasky , directed by George Melford and starring Rudolph Valentino and Agnes Ayres , and featuring Adolphe Menjou . It was based on the bestselling romance novel of the same name by Edith Maude Hull and was adapted for the screen by Monte M. Katterjohn . The film was box office hit and helped propel Valentino to stardom . In the sequel The Son of the Sheik , Valentino played both the Sheik and his son , while Ayres reprised her role ., In sociology and psychology, mass hysteria (also known as collective hysteria, group hysteria, or collective obsessional behavior) is a phenomenon that transmits collective illusions of threats, whether real or imaginary, through a population in society as a result of rumors and fear (memory acknowledgment)., Gary Cooper (born Frank James Cooper; May 7, 1901  May 13, 1961) was an American film actor known for his natural, authentic, and understated acting style and screen performances. His career spanned thirty-five years, from 1925 to 1960, and included leading roles in eighty-four feature films. He was a major movie star from the end of the silent film era through the end of the golden age of Classical Hollywood. His screen persona appealed strongly to both men and women, and his range of performances included roles in most major movie genres. Cooper's ability to project his own personality onto the characters he played contributed to his appearing natural and authentic on screen. The screen persona he sustained throughout his career represented the ideal American hero., Rodolfo Alfonso Raffaello Pierre Filibert Guglielmi di Valentina d'Antonguella, professionally known as Rudolph Valentino (May 6, 1895  August 23, 1926), was an Italian actor who starred in several well-known silent films including "The Four Horsemen of the Apocalypse," "The Sheik," "Blood and Sand," "The Eagle," and "The Son of the Sheik." He was an early pop icon, a sex symbol of the 1920s, who was known as the "Latin lover" or simply as "Valentino". He had applied for American citizenship shortly before his untimely death at age 31, which caused mass hysteria among his female fans and further propelled him into iconic status.
Early life.
Childhood.
Valentino was born Rodolfo Pietro Filiberto Raffaello Guglielmi in Castellaneta, Apulia, Kingdom of Italy. His mother, Marie Berta Gabrielle (née Barbin; 18561919), was French, born in Lure in Franche-Comté. His father, Giovanni Antonio Giuseppe Fedele Guglielmi di Valentina d'Antonguella, was Italian; he was a veterinarian who died of malaria when Rodolfo was 11 years of age. Valentino had an older brother, Alberto (18921981), a younger sister, Maria, and an older sister, Beatrice, who had died in infancy., Stanley Kubrick (July 26, 1928  March 7, 1999) was an American film director, screenwriter, producer, cinematographer, editor, and photographer. He is frequently cited as one of the greatest and most influential directors in cinematic history. His films, which are mostly adaptations of novels or short stories, cover a wide range of genres, and are noted for their realism, dark humor, unique cinematography, extensive set designs, and evocative use of music., A Woman of Paris is a feature-length American silent film that debuted in 1923. The film, an atypical drama film for its creator, was written, directed, produced and later scored by Charlie Chaplin. It is also known as A Woman of Paris: A Drama of Fate., A silent film is a film with no synchronized recorded sound, especially with no spoken dialogue. The silent film era lasted from 1895 to 1936. In silent films for entertainment, the dialogue is transmitted through muted gestures, mime and title cards which contain a written indication of the plot or key dialogue. The idea of combining motion pictures with recorded sound is nearly as old as film itself, but because of the technical challenges involved, synchronized dialogue was only made practical in the late 1920s with the perfection of the Audion amplifier tube and the introduction of the Vitaphone system. During silent films, a pianist, theatre organist, or, in large cities, even a small orchestra would often play music to accompany the films. Pianists and organists would either play from sheet music or improvise; an orchestra would play from sheet music., Adolphe Jean Menjou (February 18, 1890  October 29, 1963) was an American actor. His career spanned both silent films and talkies. He appeared in such films as Charles Chaplin's "A Woman of Paris", in which he played the lead role; Stanley Kubrick's "Paths of Glory" with Kirk Douglas; Ernst Lubitsch's "The Marriage Circle"; "The Sheik" with Rudolph Valentino; "Morocco" with Marlene Dietrich and Gary Cooper; and "A Star Is Born" with Janet Gaynor and Fredric March. He was nominated for an Academy Award for "The Front Page" in 1931., Jesse Louis Lasky (September 13, 1880  January 13, 1958) was an American pioneer motion picture producer. He was a key founder of Paramount Pictures with Adolph Zukor, and father of screenwriter Jesse L. Lasky, Jr., Agnes Ayres (April 4, 1898  December 25, 1940) was an American actress who rose to fame during the silent film era. She was known for her role as Lady Diana Mayo in "The Sheik" opposite Rudolph Valentino., The romance novel or romantic novel discussed in this article is the mass-market literary genre. Novels of this type of genre fiction place their primary focus on the relationship and romantic love between two people, and must have an "emotionally satisfying and optimistic ending." There are many subgenres of the romance novel including fantasy, historical romance, paranormal fiction, and science fiction. Walter Scott defined the literary fiction form of romance as "a fictitious narrative in prose or verse; the interest of which turns upon marvellous and uncommon incidents"., Franche-Comté (literally "Free County", Frainc-Comtou dialect: "Fraintche-Comtè"; ) is a former administrative region and a traditional province of eastern France. Since 1 January 2016, it is part of the new region Bourgogne-Franche-Comté. It is composed of the modern departments of Doubs, Jura, Haute-Saône and the Territoire de Belfort. In 2009, its population was 1,168,208., Famous Players-Lasky Corporation was an American motion picture and distribution company created on July 19, 1916, from the merger of Adolph Zukor's Famous Players Film Companyoriginally formed by Zukor as Famous Players in Famous Playsand Jesse L. Lasky's Feature Play Company., Fredric March (born Ernest Frederick McIntyre Bickel; August 31, 1897  April 14, 1975) was a "distinguished stage actor and one of Hollywood's most celebrated, versatile stars of the 1930s and 40s." He won the Academy Award for Best Actor for "Dr. Jekyll and Mr. Hyde" (1931) and "The Best Years of Our Lives" (1946), as well as the Tony Award for Best Actor in a Play for "Years Ago" (1947) and "Long Day's Journey into Night" (1956)., Adolph Zukor (January 7, 1873  June 10, 1976) was an American film mogul and founder of Paramount Pictures., Fiction is the classification for any story or universe derived from imaginationin other words, not based strictly on history or fact. Fiction can be expressed in a variety of formats, including writings, live performances, films, television programs, animations, video games, and role-playing games, though the term originally and most commonly refers to the narrative forms of literature (see "literary" fiction), including the novel, novella, short story, and play. Fiction constitutes an act of creative invention, so that faithfulness to reality is not typically assumed; in other words, fiction is not expected to present only characters who are actual people or descriptions that are factually true. The context of fiction is generally open to interpretation, due to fiction's freedom from any necessary embedding in reality; however, some fictional works are claimed to be, or marketed as, historically or factually accurate, complicating the traditional distinction between fiction and non-fiction. Fiction is a classification or category, rather than a specific mode or genre, unless used in a narrower sense as a synonym for a particular literary fiction form., Castellaneta is a city and "comune" in the province of Taranto, in the Apulia region of Southern Italy, about from Taranto. Located in a territory spanning from the Murgia to the Ionian Sea, characterized by numerous "gravina" ravines, it is part of the Comunità Montana della Murgia Tarantina (Tarentine Murgia Mountain Community)., Subject: the sheik , Relation: production_company, Options: (A) collective (B) dr (C) eagle (D) famous players film company (E) france (F) history (G) italy (H) jesse louis lasky (I) paramount pictures (J) paris (K) screen (L) stanley kubrick (M) vitaphone
[EX A]:
paramount pictures