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: Andy Samuel Griffith (June 1, 1926  July 3, 2012) was an American actor, television producer, Southern gospel singer, and writer. He was a Tony Award nominee for two roles, and gained prominence in the starring role in director Elia Kazan's film "A Face in the Crowd" (1957) before he became better known for his television roles, playing the lead characters in the sitcom, "The Andy Griffith Show" (19601968), and in the legal drama, "Matlock" (19861995)., Clarence E. `` Pete '' Carpenter ( 1 April 1914 -- 15 October 1987 ) , was an American jazz trombonist , musical arranger , and a veteran of television theme song scoring . After a long career playing the trombone in bands and as a studio musician , Carpenter started working with composer Earle Hagen and writing music for television on shows like Bewitched ( 1964 ) , Gomer Pyle , U.S.M.C. ( 1964 ) , and The Andy Griffith Show ( 1966 -- 1967 ) ., The Andy Griffith Show is an American sitcom which aired on CBS from October 3, 1960 to April 1, 1968, with a total of 249 half-hour episodes spanning over eight seasons, first in black-and-white, and then, in color, which partially originated from an episode of "The Danny Thomas Show". It stars Andy Griffith, who portrays the widowed sheriff of the fictional small community of Mayberry, North Carolina. His life is complicated by an inept but well-meaning deputy, Barney Fife (Don Knotts), Aunt Bee (Frances Bavier), a spinster aunt and housekeeper, and Opie (Ron Howard), a precocious young son. Eccentric friends and temperamental girlfriends further complicate his life. Regarding the tone of the show, Griffith said that despite a contemporary setting, the show evoked nostalgia, stating in a "Today Show" interview: "Well, though we never said it, and though it was shot in the 1960s, it had a feeling of the 1930s. It was, when we were doing it, of a time gone by.", Agnes Robertson Moorehead (December 6, 1900  April 30, 1974) was an American actress whose career of six decades included work in radio, stage, film, and television. She is chiefly known for her role as Endora on the television series "Bewitched". She was also notable for her film roles in "Citizen Kane", "The Magnificent Ambersons", "All That Heaven Allows", "Show Boat" and "Hush Hush, Sweet Charlotte"., Gomer Pyle, U.S.M.C. is an American situation comedy that originally aired on CBS from September 25, 1964, to May 2, 1969. The series was a spin-off of "The Andy Griffith Show", and the pilot episode was aired as the season finale of the fourth season of its parent series on May 18, 1964. The show ran for a total of 150 half-hour episodes spanning over five seasons, first in black-and-white, and then in color. In 2006, CBS Home Entertainment (distributed by Paramount) began releasing the series on DVD. The final season was released in November 2008., Bewitched is an American television sitcom fantasy series, originally broadcast for eight seasons on ABC from September 17, 1964, to March 25, 1972. It was created by Sol Saks under executive director Harry Ackerman, and starred Elizabeth Montgomery, Dick York (19641969), Agnes Moorehead, and David White. Dick Sargent replaced an ill York for the final three seasons (19691972). The show is about a witch who marries an ordinary mortal man, and vows to lead the life of a typical suburban housewife. "Bewitched" enjoyed great popularity, finishing as the number two show in America during its debut season, and becoming the longest-running supernatural-themed sitcom of the 1960s1970s. The show continues to be seen throughout the world in syndication and on recorded media., Frances Elizabeth Bavier (December 14, 1902  December 6, 1989) was an American stage and television actress. Originally from New York theatre, Bavier worked in film and television from the 1950s. She is best known for her role of Aunt Bee on "The Andy Griffith Show" and "Mayberry R.F.D." from 1960-70. Aunt Bee logged more Mayberry years (ten) than any other character. She won an Emmy Award for Outstanding Supporting Comedy Actress for the role in 1967., Subject: pete carpenter, Relation: award_received, Options: (A) 1900 (B) emmy award (C) tony award

Output: emmy award


Input: Consider Input: Context: Fotballklubben Haugesund is a Norwegian football club from the city of Haugesund. It was founded on October 28, 1993, after a merger between the football clubs Djerv 1919 and SK Haugar. FK Haugesund played in Tippeligaen in 1997, 1998, 2000, 2010, 2011, 2012 and in 2013. In 2007, FK Haugesund reached the Norwegian cup final, where they lost 02 to Lillestrøm. They got promoted back to Tippeligaen by winning Adeccoligaen 2009., Kopervik is the largest town on the island of Karmøy in Rogaland county, Norway. It is also the administrative centre of the municipality of Karmøy. It is part of the traditional district of Haugaland. The town has a population (2014) of 8,215; giving the town a population density of .
The municipality of Karmøy has about 42,000 inhabitants, so this means Kopervik is home to about 20% of the municipal population., The town of Åkrehamn has a population (2014) of 7,736. This gives the town a population density of . It is the second largest urban area in Karmøy, after the nearby town of Kopervik., Jostein Grindhaug ( born 20 February 1973 ) is a Norwegian football coach and former player . Hailing from Åkrehamn , he has spent most of his career with FK Haugesund ., Karmøy is a municipality in Rogaland county, Norway. It is located southwest of the city of Haugesund in the traditional district of Haugaland. The administrative centre of the municipality is the town of Kopervik., Population density (in agriculture: standing stock and standing crop) is a measurement of population per unit area or unit volume; it is a quantity of type number density. It is frequently applied to living organisms, and most of the time to humans. It is a key geographical term., Location.
The town is situated on a strategically important sound, the Karmsundet, through which ships could pass without traversing heavy seas. In the early years, the coastal waters off Haugesund were a huge source of herring, and the town grew accordingly. Despite being barely a village back then, King Harald Fairhair lived at Avaldsnes, very close to the modern town of Haugesund. In the last decades, the town, like its neighbours, has been turning towards the petroleum industry, with the herring being long gone., Subject: jostein grindhaug, Relation: place_of_birth, Options: (A) haugesund (B) karmøy (C) kopervik (D) lillestrøm (E) most (F) norway (G) of (H) rogaland (I) time

Output: norway


Input: Consider Input: Context: Abraham de Moivre (26 May 166727 November 1754) was a French mathematician known for de Moivre's formula, one of those that link complex numbers and trigonometry, and for his work on the normal distribution and probability theory. He was a friend of Isaac Newton, Edmond Halley, and James Stirling. Even though he faced religious persecution he remained a "steadfast Christian" throughout his life. Among his fellow Huguenot exiles in England, he was a colleague of the editor and translator Pierre des Maizeaux., England is a country that is part of the United Kingdom. It shares land borders with Scotland to the north and Wales to the west. The Irish Sea lies northwest of England and the Celtic Sea lies to the southwest. England is separated from continental Europe by the North Sea to the east and the English Channel to the south. The country covers five-eighths of the island of Great Britain (which lies in the North Atlantic) in its centre and south; and includes over 100 smaller islands such as the Isles of Scilly, and the Isle of Wight., Huguenots (or ) is a designation for an ethnoreligious group of French Protestants that follow the Reformed tradition., A definition is a statement of the meaning of a term (a word, phrase, or other set of symbols). Definitions can be classified into two large categories, intensional definitions (which try to give the essence of a term) and extensional definitions (which proceed by listing the objects that a term describes). Another important category of definitions is the class of ostensive definitions, which convey the meaning of a term by pointing out examples. A term may have many different senses and multiple meanings, and thus require multiple definitions., Probability theory is the branch of mathematics concerned with probability, the analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single occurrences or evolve over time in an apparently random fashion., In mathematics , Stirling 's approximation ( or Stirling 's formula ) is an approximation for factorials . It is a very powerful approximation , leading to accurate results even for small values of n. It is named after James Stirling , though it was first stated by Abraham de Moivre . The formula as typically used in applications is \ ln ( n ! ) = n \ ln ( n ) - n + O ( \ ln ( n ) ) ( in big O notation ) . The next term in the O ( ln ( n ) ) is 1/2ln ( 2n ) ; a more precise variant of the formula is therefore n ! \ sim \ sqrt ( 2 \ pi n ) \ left ( \ frac ( n ) ( e ) \ right ) ^ n. It is also possible to give a version of Stirling 's formula with bounds valid for all positive integers n , rather than asymptotics : one has \ sqrt ( 2 \ pi ) \ n ^ ( n + \ frac12 ) e ^ ( - n ) \ le n ! \ le e \ n ^ ( n + \ frac12 ) e ^ ( - n ) for all positive integers n. Thus the ratio \ frac ( n ! ) ( n ^ ( n + \ frac12 ) e ^ ( - n ) ) is always between  2 = 2.5066 ... and e = 2.71828 ... . As an asymptotic formula , Stirling 's approximation has the property that the ratio \ frac ( n ! ) ( \ sqrt ( 2 \ pi n ) \ left ( \ frac ( n ) ( e ) \ right ) ^ n ) approaches 1 as n grows to infinity ., Trigonometry (from Greek "trignon", "triangle" and "metron", "measure") is a branch of mathematics that studies relationships involving lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies., Pierre des Maizeaux, also spelled Desmaizeaux (c. 1666 or 1673June 1745), was a French Huguenot writer exiled in London, best known as the translator and biographer of Pierre Bayle., In mathematics, de Moivre's formula (also known as de Moivre's theorem and de Moivre's identity), named after Abraham de Moivre, states that for any complex number (and, in particular, for any real number) and integer it holds that, A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems., Space is the boundless three-dimensional extent in which objects and events have relative position and direction. Physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework., Sir Isaac Newton (25 December 1642  20 March 1726/27) was an English mathematician, astronomer, and physicist (described in his own day as a "natural philosopher") who is widely recognised as one of the most influential scientists of all time and a key figure in the scientific revolution. His book "Philosophiæ Naturalis Principia Mathematica" ("Mathematical Principles of Natural Philosophy"), first published in 1687, laid the foundations of classical mechanics. Newton also made seminal contributions to optics, and he shares credit with Gottfried Wilhelm Leibniz for developing the infinitesimal calculus., A complex number is a number that can be expressed in the form , where and are real numbers and is the imaginary unit, satisfying the equation . In this expression, is the ' and is the ' of the complex number. If formula_1, then formula_2, Quantity is a property that can exist as a magnitude or multitude. Quantities can be compared in terms of "more", "less", or "equal", or by assigning a numerical value in terms of a unit of measurement. Quantity is among the basic classes of things along with quality, substance, change, and relation. Some quantities are such by their inner nature (as number), while others are functioning as states (properties, dimensions, attributes) of things such as heavy and light, long and short, broad and narrow, small and great, or much and little. A small quantity is sometimes referred to as a quantulum., Mathematics (from Greek  "máthma", knowledge, study, learning) is the study of topics such as quantity (numbers), structure, space, and change. There is a range of views among mathematicians and philosophers as to the exact scope and definition of mathematics., Subject: stirling's approximation, Relation: instance_of, Options: (A) 25 (B) branch (C) complex number (D) definition (E) designation (F) editor (G) england (H) fashion (I) field (J) five (K) formula (L) four (M) identity (N) integer (O) island (P) key (Q) magnitude (R) mathematics (S) may (T) measurement (U) number (V) phrase (W) position (X) property (Y) quality (Z) quantity ([) range (\) real number (]) relation (^) relationship (_) space (`) statement (a) structure (b) study (c) theorem (d) theory (e) three (f) time (g) translator (h) triangle (i) two (j) unit of measurement (k) word (l) work
Output: theorem