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).

Context: The UK Singles Chart (currently entitled Official Singles Chart) is compiled by the Official Charts Company (OCC), on behalf of the British record industry, listing the top-selling singles in the United Kingdom, based upon physical sales, paid-for downloads and streaming. To be eligible for the chart, a single is currently defined by the Official Charts Company (OCC) as either a 'single bundle' having no more than four tracks and not lasting longer than 25 minutes or one digital audio track not longer than 15 minutes with a minimum sale price of 40 pence. The rules have changed many times as technology has developed, the most notable being the inclusion of digital downloads in 2005 and streaming in 2014., Ireland (Ulster-Scots: ) is an island in the North Atlantic. It is separated from Great Britain to its east by the North Channel, the Irish Sea, and St George's Channel. Ireland is the second-largest island of the British Isles, the third-largest in Europe, and the twentieth-largest on Earth., Ireland, also described as the Republic of Ireland ('), is a sovereign state in north-western Europe occupying about five-sixths of the island of Ireland. The capital and largest city is Dublin, which is located on the eastern part of the island, and whose metropolitan area is home to around a third of the country's 4.75 million inhabitants. The state shares its only land border with Northern Ireland, a part of the United Kingdom. It is otherwise surrounded by the Atlantic Ocean, with the Celtic Sea to the south, Saint George's Channel to the south-east, and the Irish Sea to the east. It is a unitary, parliamentary republic. The legislature, the ', consists of a lower house, ', an upper house, ', and an elected President (') who serves as the largely ceremonial head of state, but with some important powers and duties. The head of government is the ' (Prime Minister, literally 'Chief', a title not used in English), who is elected by the Dáil and appointed by the President, and appoints other government ministers., 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., Richard Paul Ashcroft (born 11 September 1971) is an English singer and songwriter. He was the lead singer and occasional rhythm guitarist of the alternative rock band The Verve from their formation in 1990 until their original split in 1999. He became a successful solo artist in his own right, releasing three UK top three solo albums. The Verve reformed in 2007 but again broke up by summer 2009. Ashcroft then founded a new band, RPA & The United Nations of Sound, and released a new album on 19 July 2010. On 22 February 2016 Ashcroft announced his fourth solo album, "These People", set for release 20 May 2016. Chris Martin of Coldplay has described Ashcroft as "the best singer in the world"., The Official Charts Company (previously known as the Chart Information Network (CIN) The Official UK Charts Company and also referred to Official Charts) is a British inter-professional organisation that compiles various "official" record charts in the United Kingdom, including the UK Singles Chart, the UK Albums Chart, the UK Singles Downloads Chart and the UK Album Downloads Chart, as well as genre-specific and music video charts. The OCC produces its charts by gathering and combining sales data from retailers through market researchers Millward Brown, and claims to cover 99% of the singles market and 95% of the album market, and aims to collect data from any retailer who sells more than 100 chart items per week., Albums of recorded music were developed in the early 20th century, first as books of individual 78rpm records, then from 1948 as vinyl LP records played at  rpm. Vinyl LPs are still issued, though in the 21st century album sales have mostly focused on compact disc (CD) and MP3 formats. The audio cassette was a format used from the late 1970s through to the 1990s alongside vinyl., The Verve were an English rock band formed in Wigan in 1990 by lead vocalist Richard Ashcroft, guitarist Nick McCabe, bass guitarist Simon Jones and drummer Peter Salisbury. Guitarist and keyboard player Simon Tong became a member at a later date., The North Sea is a marginal sea of the Atlantic Ocean located between Great Britain, Scandinavia, Germany, the Netherlands, Belgium, and France. An epeiric (or "shelf") sea on the European continental shelf, it connects to the ocean through the English Channel in the south and the Norwegian Sea in the north. It is more than long and wide, with an area of around ., Alternative rock (also called alternative music, alt-rock or simply alternative) is a genre of rock music that emerged from the independent music underground of the 1980s and became widely popular in the 1990s and 2000s. In this instance, the word "alternative" refers to the genre's distinction from mainstream rock music. The term's original meaning was broader, referring to a generation of musicians unified by their collective debt to either the musical style or simply the independent, D.I.Y. ethos of punk rock, which in the late 1970s laid the groundwork for alternative music. At times, "alternative" has been used as a catch-all description for music from underground rock artists that receives mainstream recognition, or for any music, whether rock or not, that is seen to be descended from punk rock (including some examples of punk itself, as well as new wave, and post-punk)., The English Channel ("the Sleeve" [hence ] "Sea of Brittany" "British Sea"), also called simply the Channel, is the body of water that separates southern England from northern France, and joins the southern part of the North Sea to the rest of the Atlantic Ocean., A book is a set of written, printed, illustrated, or blank sheets, made of paper, parchment, or other materials, fastened together to hinge at one side, with text and/or images printed in ink. A single sheet within a book is a leaf, and each side of a leaf is a page. A set of text-filled or illustrated pages produced in electronic format is known as an electronic book, or e-book. , The LP (from "long playing" or "long play") is an analog sound storage medium, a vinyl record format characterized by a speed of rpm, a 12 or 10 inch (30 or 25 cm) diameter, and use of the "microgroove" groove specification. Introduced by Columbia in 1948, it was soon adopted as a new standard by the entire record industry. Apart from a few relatively minor refinements and the important later addition of stereophonic sound, it has remained the standard format for vinyl albums., Northern Ireland (; Ulster Scots: "") is a top-level constituent unit of the United Kingdom in the northeast of Ireland. It is variously described as a country, province, region, or "part" of the United Kingdom, amongst other terms. Northern Ireland shares a border to the south and west with the Republic of Ireland. In 2011, its population was 1,810,863, constituting about 30% of the island's total population and about 3% of the UK's population. Established by the Northern Ireland Act 1998 as part of the Good Friday Agreement, the Northern Ireland Assembly holds responsibility for a range of devolved policy matters, while other areas are reserved for the British government. Northern Ireland co-operates with the Republic of Ireland in some areas, and the Agreement granted the Republic the ability to "put forward views and proposals" with "determined efforts to resolve disagreements between the two governments"., The Celtic Sea (; ) is the area of the Atlantic Ocean off the south coast of Ireland bounded to the east by Saint George's Channel; other limits include the Bristol Channel, the English Channel, and the Bay of Biscay, as well as adjacent portions of Wales, Cornwall, Devon, and Brittany. The southern and western boundaries are delimited by the continental shelf, which drops away sharply. The Isles of Scilly are an archipelago of small islands in the sea., 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., The Irish Sea (, , , Ulster-Scots: "Airish Sea"), separates the islands of Ireland and Great Britain. It is connected to the Celtic Sea in the south by St George's Channel, and to the Inner Seas off the West Coast of Scotland in the north by the North Channel. Anglesey is the largest island within the Irish Sea, followed by the Isle of Man. The sea is occasionally, but rarely, referred to as the Manx Sea., `` Buy It in Bottles '' is a song by English singer - songwriter Richard Ashcroft and is the second track on his 2002 album Human Conditions . The song was also released as the third and final single from that album in the United Kingdom on April 7 , 2003 , peaking at # 26 in the UK Singles Chart ( see 2003 in British music ) ., The Kingdom of Great Britain, officially Great Britain , was a sovereign state in western Europe from 1 May 1707 to 31 December 1800. The state came into being following the Treaty of Union in 1706, ratified by the Acts of Union 1707, which united the kingdoms of England and Scotland to form a single kingdom encompassing the whole island of Great Britain and its outlying islands. It did not include Ireland, which remained a separate realm. The unitary state was governed by a single parliament and government that was based in Westminster. The former kingdoms had been in personal union since James VI, King of Scots, became King of England and King of Ireland in 1603 following the death of Queen Elizabeth I, bringing about a "Union of the Crowns". Also after the accession of George I to the throne of Great Britain in 1714, the kingdom was in a personal union with the Electorate of Hanover., Great Britain, also known as Britain , is a large island in the north Atlantic Ocean off the northwest coast of continental Europe. With an area of , Great Britain is the largest European island and the ninth-largest in the world. In 2011 the island had a population of about 61 million people, making it the world's third-most populous island after Java in Indonesia and Honshu in Japan. The island of Ireland is situated to the west of it, and together these islands, along with over 1,000 smaller surrounding islands, comprise the British Isles archipelago., Christopher Anthony John "Chris" Martin (born 2 March 1977) is a British singer, songwriter, record producer, and multi-instrumentalist. He is the co-founder and lead singer of the British alternative rock band Coldplay. Born in Whitestone, near Exeter in Devon, Martin went to University College London where he formed a rock band with fellow musician Jonny Buckland in 1996 called Pectoralz, which was eventually renamed Coldplay in 1998., VC Recordings trading as Hut Records was a British record label brand which was started in 1990 as a wholly owned subsidiary of Virgin Records. Despite being wholly owned by a major label, it was classed as an independent label for the purposes of the UK Indie Chart due to the independent distribution, which was used by Virgin as a means of gaining exposure for new acts., This is a summary of 2003 in music in the United Kingdom. , Compact disc (CD) is a digital optical disc data storage format released in 1982 and co-developed by Philips and Sony. The format was originally developed to store and play only sound recordings but was later adapted for storage of data (CD-ROM). Several other formats were further derived from these, including write-once audio and data storage (CD-R), rewritable media (CD-RW), Video Compact Disc (VCD), Super Video Compact Disc (SVCD), Photo CD, PictureCD, CD-i, and Enhanced Music CD. Audio CD players have been commercially available since October 1982, when the first commercially available CD player was released in Japan., MPEG-1 and/or MPEG-2 Audio Layer III, more commonly referred to as MP3, is an audio coding format for digital audio which uses a form of lossy data compression. It is a common audio format for consumer audio streaming or storage, as well as a de facto standard of digital audio compression for the transfer and playback of music on most digital audio players and computing devices., The European Union (EU) is a political and economic union of member states that are located primarily in Europe. It has an area of , and an estimated population of over 510 million. The EU has developed an internal single market through a standardised system of laws that apply in all member states. EU policies aim to ensure the free movement of people, goods, services, and capital within the internal market, enact legislation in justice and home affairs, and maintain common policies on trade, agriculture, fisheries, and regional development. Within the Schengen Area, passport controls have been abolished. A monetary union was established in 1999 and came into full force in 2002, and is composed of 19 EU member states which use the euro currency., Coldplay are a British rock band formed in 1996 by lead vocalist and keyboardist Chris Martin and lead guitarist Jonny Buckland at University College London (UCL). After they formed under the name Pectoralz, Guy Berryman joined the group as bassist and they changed their name to Starfish. Will Champion joined as drummer and backing vocalist, completing the performing line-up. Creative Director Phil Harvey is often referred to as the official fifth member by the band. The band renamed themselves "Coldplay" in 1998, before recording and releasing three EPs: "Safety" in 1998, "Brothers & Sisters" as a single in 1999, and "The Blue Room" in the same year. "The Blue Room" was their first release on a major label, after signing to Parlophone., Human Conditions is the second album by English singer-songwriter, Richard Ashcroft. It was released on Hut Records in 2002., Subject: buy it in bottles, Relation: record_label, Options: (A) 1996 (B) album (C) digital (D) digital audio (E) english (F) europe (G) european union (H) france (I) hut records (J) island (K) leaf (L) parlophone (M) philips (N) record (O) rock music (P) sony (Q) uk singles chart (R) united kingdom (S) wales
hut records

Context: 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., In mathematics, a conjecture is a conclusion or proposition based on incomplete information, for which no proof has been found. Conjectures such as the Riemann hypothesis (still a conjecture) or Fermat's Last Theorem (which was a conjecture until proven in 1995) have shaped much of mathematical history as new areas of mathematics are developed in order to prove them., The Riemann zeta function or EulerRiemann zeta function, , is a function of a complex variable "s" that analytically continues the sum of the Dirichlet series , In mathematics, the Riemann hypothesis is a conjecture that the Riemann zeta function has its zeros only at the negative even integers and complex numbers with real part . It was proposed by , after whom it is named. The name is also used for some closely related analogues, such as the Riemann hypothesis for curves over finite fields., 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., 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, In mathematics, a finite field or Galois field (so-named in honor of Évariste Galois) is a field that contains a finite number of elements. As with any field, a finite field is a set on which the operations of multiplication, addition, subtraction and division are defined and satisfy certain basic rules. The most common examples of finite fields are given by the integers mod when is a prime number., In mathematics, an L-function is a meromorphic function on the complex plane, associated to one out of several categories of mathematical objects. An L-series is a Dirichlet series, usually convergent on a half-plane, that may give rise to an L-function via analytic continuation., In mathematics , the grand Riemann hypothesis is a generalisation of the Riemann hypothesis and Generalized Riemann hypothesis . It states that the nontrivial zeros of all automorphic L - functions lie on the critical line 1/2 + it with t a real number variable and i the imaginary unit . The modified grand Riemann hypothesis is the assertion that the nontrivial zeros of all automorphic L - functions lie on the critical line or the real line ., 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., 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., The Riemann hypothesis is one of the most important conjectures in mathematics. It is a statement about the zeros of the Riemann zeta function. Various geometrical and arithmetical objects can be described by so-called global L-functions, which are formally similar to the Riemann zeta-function. One can then ask the same question about the zeros of these "L"-functions, yielding various generalizations of the Riemann hypothesis. Many mathematicians believe these generalizations of the Riemann hypothesis to be true. The only cases of these conjectures which have been proven occur in the function field case (not the number field case)., Subject: grand riemann hypothesis, Relation: instance_of, Options: (A) class (B) complex (C) complex number (D) conjecture (E) definition (F) division (G) equation (H) field (I) function (J) hypothesis (K) magnitude (L) mathematics (M) may (N) number (O) order (P) phrase (Q) plane (R) position (S) prime number (T) quantity (U) relation (V) relationship (W) series (X) space (Y) statement (Z) structure ([) study (\) sum (]) term (^) theorem (_) three (`) time (a) unit of measurement (b) variable
conjecture

Context: LocoRoco 2 is a platformer developed by Sony Computer Entertainment Japan and published by Sony Computer Entertainment . It is the sequel to 2006 's LocoRoco and was released for the PSP handheld game console . The game was released in Europe on November 21 , 2008 , in Japan on December 4 , 2008 , and in North America on February 10 , 2009 ., The PlayStation Portable (PSP) is a handheld game console developed by Sony. Development of the console was announced during E3 2003, and it was unveiled on , 2004, at a Sony press conference before E3 2004. The system was released in Japan on , 2004, in North America on , 2005, and in the PAL region on , 2005. It primarily competed with the Nintendo DS, as part of the seventh generation of video games., The PlayStation 3 (abbreviated as PS3) is a home video game console developed by Sony Computer Entertainment. It is the successor to PlayStation 2, and is part of the PlayStation brand of consoles. It competed with Microsoft's Xbox 360 and Nintendo's Wii as part of the seventh generation of video game consoles. It was first released on November 11, 2006, in Japan, November 17, 2006 in North America, and March 27, 2007 in Europe and Australia., Along the way, the LocoRoco can grow in size by eating special berries, and then can be split and rejoined to pass the LocoRoco through narrow spaces. The game's bright and colorful visuals and dynamic music soundtrack were hallmarks of the game, earning it several awards from the gaming press in 2006. While the game did not sell high volumes, its success led to the development of four other "LocoRoco" titles - two sequels for the PSP (PlayStation Portable)/PSP Go, a spin-off for the PlayStation 3 and a mobile version (called "LocoRoco Mobile" and "LocoRoco Hi", depending on the market) for cellular (mobile) telephones., A video game console is an electronic, digital or computer device that outputs a video signal or visual image to display a video game that one or more people can play., A handheld game console is a small, portable self-contained video game console with a built-in screen, game controls, and speakers. Handheld game consoles are smaller than home video game consoles and contain the console, screen, speakers, and controls in one unit, allowing people to carry them and play them at any time or place., Subject: locoroco 2, Relation: platform, Options: (A) handheld (B) nintendo ds (C) playstation (D) playstation 2 (E) playstation portable (F) sony computer entertainment (G) video game console (H) xbox

playstation portable