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: Paul Gage is a research computer scientist who works at Cray Supercomputers . He is most well known for collaborating with David Slowinski on an algorithm that is credited with the discovery of several of the largest Mersenne primes : 2756839  1 in 1992 , 2859433  1 in 1994 , and 21257787  1 in 1996 ., In mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number that can be written in the form for some integer . They are named after Marin Mersenne, a French Minim friar, who studied them in the early 17th century. The first four Mersenne primes are 3, 7, 31, and 127., A mathematician is someone who uses an extensive knowledge of mathematics in his/her work, typically to solve mathematical problems., David Slowinski is a mathematician involved in prime numbers. His career highlights have included the discovery of several of the largest known Mersenne primes:
He has also written several textbooks on the subject., Subject: paul gage, Relation: occupation, Options: (A) friar (B) mathematician

Output: mathematician


Input: Consider Input: Context: 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., Cheshire (or ; archaically the County Palatine of Chester; abbreviated Ches.) is a county in North West England, bordering Merseyside and Greater Manchester to the north, Derbyshire to the east, Staffordshire and Shropshire to the south and Wales to the west (bordering Wrexham and Flintshire). Cheshire's county town is Chester; the largest town is Warrington., Telford is a large new town in the borough of Telford and Wrekin and ceremonial county of Shropshire, England, about east of Shrewsbury, and west of Birmingham. With an estimated population (for the borough) of 170,300 in 2010 and around 155,000 in Telford itself, Telford is the largest town in Shropshire, and one of the fastest-growing towns in the United Kingdom., 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 ., 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 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., Borders are geographic boundaries of political entities or legal jurisdictions, such as governments, sovereign states, federated states, and other subnational entities. Some borderssuch as a state's internal administrative border, or inter-state borders within the Schengen Areaare often open and completely unguarded. Other borders are partially or fully controlled, and may be crossed legally only at designated border checkpoints and border zones may be controlled. Mostly contentious, borders may even foster the setting up of buffer zones. A difference has also been established in academic scholarship between border and frontier, the latter denoting a state of mind rather than state boundaries., A unitary authority is a type of local authority that has a single tier and is responsible for all local government functions within its area or performs additional functions which elsewhere in the relevant country are usually performed by national government or a higher level of sub-national government., The Bristol Channel is a major inlet in the island of Great Britain, separating South Wales from Devon and Somerset in South West England. It extends from the lower estuary of the River Severn to the North Atlantic Ocean. It takes its name from the English city of Bristol, and is over 30 miles (50 km) across at its widest point., Shropshire (or ; alternatively Salop; abbreviated, in print only, Shrops; demonym Salopian ) is a county located between West Midlands in England and Wales. It borders Powys and Wrexham in Wales to the west and north-west, Cheshire to the north, Staffordshire to the east, Worcestershire to the south-east and Herefordshire to the south. Shropshire Council was created in 2009, a unitary authority taking over from the previous county council and five district councils. The borough of Telford and Wrekin has been a separate unitary authority since 1998 but continues to be included in the ceremonial county., Continental Europe, also referred to as mainland Europe, or, by Europeans, simply the Continent, is the continuous continent of Europe, excluding surrounding islands., Yr Wyddfa commonly known as Snowdon in English, is the highest mountain in Wales, at an elevation of above sea level, and the highest point in the British Isles south of the Scottish Highlands. It is located in Snowdonia National Park (") in Gwynedd, and has been described as "probably the busiest mountain in Britain". It is designated as a national nature reserve for its rare flora and fauna., 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., Worcestershire (or ; written abbreviation: Worcs) is a county in the West Midlands of England. Between 1974 and 1998, it was merged with the neighbouring county of Herefordshire as Hereford and Worcester., A country is a region that is identified as a distinct national entity in political geography. A country may be an independent sovereign state or one that is occupied by another state, as a non-sovereign or formerly sovereign political division, or a geographic region associated with sets of previously independent or differently associated people with distinct political characteristics. Regardless of the physical geography, in the modern internationally accepted legal definition as defined by the League of Nations in 1937 and reaffirmed by the United Nations in 1945, a resident of a country is subject to the independent exercise of legal jurisdiction., Shropshire Council is the local authority of Shropshire (excluding Telford and Wrekin) in England. It is a unitary authority, having the powers of a non-metropolitan county and district council combined., 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 Isles of Scilly (or "") are an archipelago off the south western tip of the Cornish peninsula of Great Britain. It is the southernmost location in England and the United Kingdom, as well as the most westerly in England., The Isle of Wight is a county and the largest and second-most populous island in England. It is located in the English Channel, about 4 miles (6 km) off the coast of Hampshire, separated by the Solent. The island has resorts that have been holiday destinations since Victorian times, and is known for its mild climate, coastal scenery, and verdant landscape of fields, downland and chines., Penley ( Welsh : Llannerch Banna ) is a village in the County Borough of Wrexham , in Wales close to the border with Shropshire , England . The village was , until 1974 , in an exclave of the ancient county of Flintshire known as Maelor Saesneg . ( English : `` English - speaking Maelor '' ) , sometimes called `` Flintshire Detached '' , which was administered from Overton - on - Dee . Between 1974 and 1996 , Penley was in the short - lived county of Clwyd . Penley lies on the path of the long - distance walk , the Maelor Way, Wrexham (; ) is a large town in north Wales, between the Welsh mountains and the lower Dee Valley alongside the border with England. In Wrexham County Borough, it is the largest town in north Wales and an administrative, commercial, retail and educational centre., Stafford is the county town of Staffordshire, in the West Midlands of England. It lies approximately north of Wolverhampton, south of Stoke-on-Trent and north-west of Birmingham. The population in 2001 was 63,681 and that of the wider borough of Stafford 122,000, the fourth largest in the county after Stoke-on-Trent, Tamworth and Newcastle-under-Lyme., Wales is a country that is part of the United Kingdom and the island of Great Britain. It is bordered by England to the east, the Irish Sea to the north and west, and the Bristol Channel to the south. It had a population in 2011 of 3,063,456 and has a total area of . Wales has over of coastline and is largely mountainous, with its higher peaks in the north and central areas, including Snowdon, its highest summit. The country lies within the north temperate zone and has a changeable, maritime climate., Herefordshire (abbreviated Herefs. or Hfds.) is a historic English county in the West Midlands. It is a ceremonial county and a unitary non-metropolitan county and district, also named in legislation as the County of Herefordshire and governed by Herefordshire Council. It borders the English ceremonial counties of Shropshire to the north, Worcestershire to the east, Gloucestershire to the south-east, and the Welsh preserved counties of Gwent to the south-west and Powys to the west. The Welsh unitary county covering the part of Gwent next to Herefordshire is Monmouthshire., Powys (or ; Welsh: ) is a principal area, local-government county and preserved county in Mid Wales. It is named after the successor Kingdom of Powys, which formed after the Romans withdrew from Britain., Telford and Wrekin is a unitary district with borough status in the West Midlands region of England. The district was created in 1974 as The Wrekin, then a non-metropolitan district of Shropshire. In 1998 the district became a unitary authority and was renamed Telford and Wrekin. It remains part of the Shropshire ceremonial county and shares institutions such as the Fire and Rescue Service and Community Health with the rest of Shropshire., Scotland (Scots: ) is a country that is part of the United Kingdom and covers the northern third of the island of Great Britain. It shares a border with England to the south, and is otherwise surrounded by the Atlantic Ocean, with the North Sea to the east and the North Channel and Irish Sea to the south-west. In addition to the mainland, the country is made up of more than 790 islands, including the Northern Isles and the Hebrides., Staffordshire (or ; abbreviated Staffs) is a landlocked county in the West Midlands of England. It adjoins Cheshire to the north west, Derbyshire and Leicestershire to the east, Warwickshire to the south east, West Midlands and Worcestershire to the south, and Shropshire to the west., 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., Subject: penley, Relation: located_in_the_administrative_territorial_entity, Options: (A) anglesey (B) atlantic ocean (C) belgium (D) bristol (E) british isles (F) brittany (G) cheshire (H) chester (I) cornish (J) cornwall (K) district (L) england (M) europe (N) flora (O) foster (P) france (Q) herefordshire (R) ireland (S) isle of man (T) isle of wight (U) japan (V) java (W) leicestershire (X) lyme (Y) mainland (Z) manchester ([) monmouthshire (\) most (]) mountain (^) national park (_) new town (`) north (a) north west (b) north west england (c) northwest (d) of (e) powys (f) river (g) scandinavia (h) schengen (i) scotland (j) shrewsbury (k) shropshire (l) somerset (m) south (n) south west england (o) stafford (p) staffordshire (q) telford (r) ulster (s) united kingdom (t) wales (u) warrington (v) warwickshire (w) west midlands (x) westerly (y) wolverhampton (z) worcestershire ({) wrexham (|) wrexham county borough

Output: wrexham county borough


Input: Consider Input: Context: Sugar is the generalized name for sweet, short-chain, soluble carbohydrates, many of which are used in food. They are composed of carbon, hydrogen, and oxygen. There are various types of sugar derived from different sources. Simple sugars are called monosaccharides and include glucose (also known as dextrose), fructose, and galactose. The table or granulated sugar most customarily used as food is sucrose, a disaccharide. (In the body, sucrose hydrolyses into fructose and glucose.) Other disaccharides include maltose and lactose. Longer chains of sugars are called oligosaccharides. Chemically-different substances may also have a sweet taste, but are not classified as sugars. Some are used as lower-calorie food substitutes for sugar, described as artificial sweeteners., A preservative is a substance or a chemical that is added to products such as food, beverages, pharmaceutical drugs, paints, biological samples, cosmetics, wood, and many other products to prevent decomposition by microbial growth or by undesirable chemical changes. In general, preservation is implemented in two modes, chemical and physical. Chemical preservation entails adding chemical compounds to the product. Physical preservation entails processes such as refrigeration or drying. Preservative food additives reduce the risk of foodborne infections, decrease microbial spoilage, and preserve fresh attributes and nutritional quality. Some physical techniques for food preservation include dehydration, UV-C radiation, freeze-drying, and refrigeration. Chemical preservation and physical preservation techniques are sometimes combined., Wake Forest University is a private, independent, nonprofit, nonsectarian, coeducational research university in Winston-Salem, North Carolina, founded in 1834. The university received its name from its original location in Wake Forest, north of Raleigh, North Carolina, the state capital. The Reynolda Campus, the university's main campus, has been located north of downtown Winston-Salem since the university moved there in 1956. The Wake Forest Baptist Medical Center campus has two locations, the older one located near the Ardmore neighborhood in central Winston-Salem, and the newer campus at Wake Forest Innovation Quarter downtown. The university also occupies lab space at Biotech Plaza at Innovation Quarter, and at the Center for Nanotechnology and Molecular Materials. The University's Graduate School of Management maintains a presence on the main campus in Winston-Salem and in Charlotte, North Carolina., A research university is a university that expects all its tenured and tenure-track faculty to continuously engage in research, as opposed to merely requiring it as a condition of an initial appointment or tenure. Such universities can be recognized by their strong focus on innovative research and the prestige of their brand names. On the one hand, research universities strive to recruit faculty who are the most brilliant minds in their disciplines in the world, and their students enjoy the opportunity to learn from such experts. On the other hand, new students are often disappointed to realize their undergraduate courses at research universities are overly academic and fail to provide vocational training with immediate "real world" applications; but many employers value degrees from research universities because they know that such coursework develops fundamental skills like critical thinking. , Wake Forest Baptist Medical Center is an academic medical center located in Winston-Salem, North Carolina. It is the largest employer in Forsyth County with more than 13,440 employees and a total of 198 buildings on 428 acres. The entity includes:, The chairman (also chairperson, chairwoman or chair) is the highest officer of an organized group such as a board, a committee, or a deliberative assembly. The person holding the office is typically elected or appointed by the members of the group. The chair presides over meetings of the assembled group and conducts its business in an orderly fashion. When the group is not in session, the officer's duties often include acting as its head, its representative to the outside world and its spokesperson. In some organizations, this position is also called "president" (or other title), in others, where a board appoints a president (or other title), the two different terms are used for distinctly different positions., Canada (French: ) is a country in the northern half of North America. Its ten provinces and three territories extend from the Atlantic to the Pacific and northward into the Arctic Ocean, covering , making it the world's second-largest country by total area and the fourth-largest country by land area. Canada's border with the United States is the world's longest land border. The majority of the country has a cold or severely cold winter climate, but southerly areas are warm in summer. Canada is sparsely populated, the majority of its land territory being dominated by forest and tundra and the Rocky Mountains. About four-fifths of the country's population of 36 million people is urbanized and live near the southern border. Its capital is Ottawa, its largest city is Toronto; other major urban areas include Montreal, Vancouver, Calgary, Edmonton, Quebec City, Winnipeg and Hamilton., Charlotte is the largest city in the state of North Carolina. It is the county seat of Mecklenburg County and the second-largest city in the southeastern United States, just behind Jacksonville, Florida. Charlotte is the third-fastest growing major city in the United States. In 2014 the estimated population of Charlotte according to the U.S. Census Bureau was 809,958, making it the 17th-largest city in the United States based on population. The Charlotte metropolitan area ranks 22nd-largest in the U.S., and had a 2014 population of 2,380,314. The Charlotte metropolitan area is part of a sixteen-county market region or combined statistical area with a 2014 U.S. Census population estimate of 2,537,990. Residents of Charlotte are referred to as "Charlotteans". It is listed as a "gamma-plus" global city by the Globalization and World Cities Research Network., Wake Forest Innovation Quarter in Winston-Salem, North Carolina, is a mixed-use center and hub for innovation in biomedical and material sciences and information technology. The Innovation Quarter, operated by Wake Forest Baptist Medical Center, is home to academic groups, private companies and other organizations located on 200 acres, including 55 acres of green space, in downtown Winston-Salem. Its tenants include departments from Wake Forest School of Medicine, private businesses and other organizations. One tenant is the Wake Forest Institute for Regenerative Medicine (WFIRM), which is working to engineer more than 30 different replacement tissues and organs and to develop healing cell therapies. The science and research conducted at WFIRM is behind two start-up companies at Innovation Quarter. The ability of researchers and scientists to work alongside entrepreneurs furthers a goal of Innovation Quarter to develop new treatments and cures for disease and advances in technology., Steven S. Reinemund ( born April 6 , 1948 ) is an American business man who was chairman and CEO of PepsiCo between 2001 and 2006 and dean of the Schools of Business at Wake Forest University between 2008 and 2014 . Reinemund spent 22 years working for PepsiCo in various capacities . During his CEO tenure at PepsiCo , revenues grew by $ 9 billion , net income rose 70 % , earnings per share were up 80 % and PepsiCo 's market cap exceeded $ 100 billion . He led the acquisitions of several other food and beverage companies including Quaker Oats , Naked Juice , Izze and Stacy 's Chips ., Naked Juice is an American brand that produces juices and smoothies. The company is based in Monrovia, California. Naked Juice Co. Of Glendora, Inc. operates as a subsidiary of PepsiCo, Inc. The first of these drinks were produced in 1983 and sold in California under the name "Naked Juice", referring to the composition of no artificial flavors, added sugar, or preservatives. Distribution has since expanded, and Naked Juice products are distributed nationwide within the United States, as well as in Canada, the U.K. and the Netherlands., PepsiCo, Inc. (stylized as PEPSICO) is an American multinational food, snack and beverage corporation headquartered in Purchase, New York. PepsiCo has interests in the manufacturing, marketing and distribution of grain-based snack foods, beverages and other products. PepsiCo was formed in 1965 with the merger of the Pepsi-Cola Company and Frito-Lay, Inc. PepsiCo has since expanded from its namesake product Pepsi to a broader range of food and beverage brands, the largest of which have included an acquisition of Tropicana Products in 1998 and the Quaker Oats Company in 2001, which added the Gatorade brand to its portfolio., The Gatorade Company, Inc. is an American manufacturer of sports-themed beverage and food products, built around its signature line of sports drinks. Gatorade is currently manufactured by PepsiCo and is distributed in over 80 countries. The beverage was first developed in 1965 by a team of researchers at the University of Florida, to replenish the combination of water, carbohydrates, and electrolytes that the school's student-athletes lost in sweat during rigorous sport activities., Nonsectarian institutions are secular private educational institutions or other organizations not affiliated with or restricted to a particular religious group., Subject: steven reinemund, Relation: occupation, Options: (A) academic (B) canada (C) carbon (D) chairperson (E) faculty (F) general (G) major (H) manufacturer (I) marketing (J) officer (K) president (L) religious (M) research (N) science (O) spokesperson (P) student
Output: officer