TASK DEFINITION: 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).
PROBLEM: Context: Razadarit ( Burmese :  ( jàzad ) ; Thai :  , rtgs : Rachathirat ; Sanskrit :  Rjdhirja `` King of Kings '' ; 1368 -- 1421 ) was the ninth king of the Hanthawaddy Pegu Kingdom in Burma from 1384 to 1421 . Considered one of the greatest kings in Burmese history , he successfully reunified all three Mon - speaking regions of southern Burma ( Myanmar ) , and fended off major assaults by the Burmese - speaking northern Kingdom of Ava ( Inwa ) in the Forty Years ' War ( 1385 -- 1424 ) . When Razadarit became the ruler of Hanthawaddy in 1384 , the 16 - year - old boy - king held just the Pegu ( Bago ) province while the other two major Mon - speaking regions of the Irrawaddy delta and Martaban ( Mottama ) were in open rebellion . By his sheer will and military leadership , he defeated Ava 's first wave of invasions in the 1380s , and by 1390 , was able to reunify all three Mon regions . During the second half of the Forty Years ' War , he met Minkhaung I of Ava and his son Minyekyawswa head - on in Lower Burma , Upper Burma , and Arakan . Razadarit is remembered as a complex figure : a brave military commander , who defeated Minkhaung I in single combat , and kept the kingdom independent ; an able administrator who organized the kingdom ; and a ruthless paranoid figure , who drove his first love Talamidaw to commit suicide , and ordered the execution of their innocent son Bawlawkyantaw . The king died of injuries received in hunting a wild elephant in 1421 at age 53 . He left a strong , independent kingdom for the Mon people that would prosper for another 118 years . Three of his offspring later became rulers of Hanthawaddy . His daughter Shin Sawbu was the first and only female regent , and one of the most enlightened rulers in Burmese history . The story of Razadarit 's reign is recorded in a classic epic that exists in Mon , Burmese and Thai language forms . Razadarit 's struggles against Minkhaung I and Minyekyawswa are retold as classic stories of legend in Burmese popular culture ., The Kingdom of Pagan (, lit. "Pagan Period"; also commonly known as the Pagan Dynasty and the Pagan Empire) was the first kingdom to unify the regions that would later constitute modern-day Burma (Myanmar). Pagan's 250-year rule over the Irrawaddy valley and its periphery laid the foundation for the ascent of Burmese language and culture, the spread of Burman ethnicity in Upper Burma, and the growth of Theravada Buddhism in Burma and in mainland Southeast Asia., The Ava Kingdom was the dominant kingdom that ruled upper Burma (Myanmar) from 1364 to 1555. Founded in 1364, the kingdom was the successor state to the petty kingdoms of Myinsaing, Pinya and Sagaing that had ruled central Burma since the collapse of the Pagan Kingdom in the late 13th century., Myanmar, officially the Republic of the Union of Myanmar and also known as Burma, is a sovereign state in South East Asia bordered by Bangladesh, India, China, Laos and Thailand. About one third of Myanmar's total perimeter of 5,876 km (3,651 miles), forms an uninterrupted coastline of 1,930 km (1,200 miles) along the Bay of Bengal and the Andaman Sea. The country's 2014 census revealed a much lower population than expected, with 51 million people recorded. Myanmar is 676,578 square kilometres (261,227 sq mi) in size. Its capital city is Naypyidaw and its largest city is Yangon (Rangoon)., Subject: razadarit, Relation: religion, Options: (A) india (B) theravada

SOLUTION: theravada

PROBLEM: 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

SOLUTION: natural number

PROBLEM: Context: Kolkata (, also known as Calcutta , the official name until 2001) is the capital of the Indian state of West Bengal. Located on the east bank of the Hooghly River, it is the principal commercial, cultural, and educational centre of East India, while the Port of Kolkata is India's oldest operating port and its sole major riverine port. In 2011, the city had population of 4.5 million, while the population of the city and its suburbs was 14.1 million, making it the third-most populous metropolitan area in India. In 2008 its gross domestic product (adjusted for purchasing power parity) was estimated to be 104 billion, which was the third highest among Indian cities, behind Mumbai and Delhi., Asia is Earth's largest and most populous continent, located primarily in the eastern and northern hemispheres and sharing the continental landmass of Eurasia with the continent of Europe. Asia covers an area of , about 30% of Earth's total land area and 8.7% of the Earth's total surface area. The continent, which has long been home to the majority of the human population, was the site of many of the first civilizations. Asia is notable for not only its overall large size and population, but also dense and large settlements as well as vast barely populated regions within the continent of 4.4 billion people., Nepal, officially the Federal Democratic Republic of Nepal, is a landlocked central Himalayan country in South Asia. It has a population of 26.4 million and is the 93rd largest country by area. Bordering China in the north and India in the south, east, and west, it is the largest sovereign Himalayan state. Nepal does not border Bangladesh, which is located within only 27 km (17 mi) of its southeastern tip. It neither borders Bhutan due to the Indian state of Sikkim being located in between. Nepal has a diverse geography, including fertile plains, subalpine forested hills, and eight of the world's ten tallest mountains, including Mount Everest, the highest point on Earth. Kathmandu is the nation's capital and largest city. It is a multiethnic nation with Nepali as the official language. , Indonesia (or ; Indonesian: ), officially the Republic of Indonesia, is a unitary sovereign state and transcontinental country located mainly in Southeast Asia with some territories in Oceania. Situated between the Indian and Pacific oceans, it is the world's largest island country, with more than seventeen thousand islands. At , Indonesia is the world's 14th-largest country in terms of land area and world's 7th-largest country in terms of combined sea and land area. It has an estimated population of over 260 million people and is the world's fourth most populous country, the most populous Austronesian nation, as well as the most populous Muslim-majority country. The world's most populous island of Java contains more than half of the country's population., Ahmedabad (also known as Amdavad ) is the largest city and former capital of Gujarat, which is a state in India. It is the administrative headquarters of the Ahmedabad district and the seat of the Gujarat High Court. With a population of more than 6.3 million and an extended population of 7.8 million, it is the sixth largest city and seventh largest metropolitan area of India. Ahmedabad is located on the banks of the Sabarmati River, from the state capital Gandhinagar, which is its twin city., India, officially the Republic of India ("Bhrat Gaarjya"), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country (with over 1.2 billion people), and the most populous democracy in the world. It is bounded by the Indian Ocean on the south, the Arabian Sea on the southwest, and the Bay of Bengal on the southeast. It shares land borders with Pakistan to the west; China, Nepal, and Bhutan to the northeast; and Myanmar (Burma) and Bangladesh to the east. In the Indian Ocean, India is in the vicinity of Sri Lanka and the Maldives. India's Andaman and Nicobar Islands share a maritime border with Thailand and Indonesia. Its capital is New Delhi; other metropolises include Mumbai, Kolkata, Chennai, Bangalore, Hyderabad and Ahmedabad., China, officially the People's Republic of China (PRC), is a unitary sovereign state in East Asia. With a population of over 1.381 billion, it is the world's most populous country. The state is governed by the Communist Party of China, and its capital is Beijing. It exercises jurisdiction over 22 provinces, five autonomous regions, four direct-controlled municipalities (Beijing, Tianjin, Shanghai, and Chongqing), and two mostly self-governing special administrative regions (Hong Kong and Macau), and claims sovereignty over Taiwan. The country's major urban areas include Shanghai, Guangzhou, Beijing, Chongqing, Shenzhen, Tianjin and Hong Kong. China is a great power and a major regional power within Asia, and has been characterized as a potential superpower., New Delhi is the capital of India and one of Delhi city's 11 districts., Delhi (Dilli) , officially the National Capital Territory of Delhi, is a city and a union territory of India. It is bordered by Haryana on three sides and by Uttar Pradesh to the east. It is the most expansive city in Indiaabout . It has a population of about 25 million, making it the second most populous city after Mumbai and most populous urban agglomeration in India and 3 largest urban area in the world. Urban expansion in Delhi has caused it to grow beyond the NCT to incorporate towns in neighbouring states. At its largest extent, there is a population of about 25 million residents . According to data released by Oxford Economics, Delhi NCR urban agglomeration has replaced Mumbai Metropolitan Region urban agglomeration as the economic capital of India. However the comparison of the figures specific to the Metropolis of Delhi and Metropolis of Mumbai was not provided by this institution. These figures however did not match with those revealed by the reserve bank of India, The economic survey of India, The economic survey of Delhi and Maharashtra., Chennai ; formerly known as Madras or ) is the capital of the Indian state of Tamil Nadu. Located on the Coromandel Coast off the Bay of Bengal, it is one of the biggest cultural, economic and educational centres in South India. According to the 2011 Indian census, it is the sixth-largest city and fourth-most populous urban agglomeration in India. The city together with the adjoining regions constitute the Chennai Metropolitan Area, which is the 36th-largest urban area by population in the world. Chennai is among the most visited Indian cities by foreign tourists. It was ranked 43rd most visited city in the world for year 2015. The Quality of Living Survey rated Chennai as the safest city in India. Chennai attracts 45 percent of health tourists visiting India, and 30 to 40 percent of domestic health tourists. As such, it is termed "India's health capital". As a growing metropolitan city in a developing country, Chennai confronts substantial pollution and other logistical and socio-economic problems., Mumbai (also known as Bombay, the official name until 1995) is the capital city of the Indian state of Maharashtra. It is the most populous city in India and the ninth most populous agglomeration in the world, with an estimated city population of 18.4 million. Along with the neighbouring regions of the Mumbai Metropolitan Region, it is one of the most populous urban regions in the world and the second most populous metropolitan area in India, with a population of 20.7 million . Mumbai lies on the west coast of India and has a deep natural harbour. In 2009, Mumbai was named an alpha world city. It is also the wealthiest city in India, and has the highest GDP of any city in South, West, or Central Asia. Mumbai has the highest number of billionaires and millionaires among all cities in India. , Skandagupta ( Sanskrit :  ) ( died 467 ) was a Gupta Emperor of northern India . He is generally considered the last of the great Gupta Emperors ., The Indian Ocean is the third largest of the world's oceanic divisions, covering (approximately 20% of the water on the Earth's surface). It is bounded by Asia on the north, on the west by Africa, on the east by Australia, and on the south by the Southern Ocean or, depending on definition, by Antarctica. It is named after the country of India. The Indian Ocean is known as "Ratnkara", ""the mine of gems"" in ancient Sanskrit literature, and as "Hind Mahsgar", ""the great Indian sea"", in Hindi., Myanmar, officially the Republic of the Union of Myanmar and also known as Burma, is a sovereign state in South East Asia bordered by Bangladesh, India, China, Laos and Thailand. About one third of Myanmar's total perimeter of 5,876 km (3,651 miles), forms an uninterrupted coastline of 1,930 km (1,200 miles) along the Bay of Bengal and the Andaman Sea. The country's 2014 census revealed a much lower population than expected, with 51 million people recorded. Myanmar is 676,578 square kilometres (261,227 sq mi) in size. Its capital city is Naypyidaw and its largest city is Yangon (Rangoon)., The Maldives (, or ), officially the Republic of Maldives (""), is a South Asian island country, located in the Indian Ocean. It lies southwest of India and Sri Lanka. The chain of twenty-six atolls stretches from Ihavandhippolhu Atoll in the north to the Addu City in the south. Comprising a territory spanning roughly , the Maldives is one of the world's most geographically dispersed countries, as well as the smallest Asian country by both land area and population, with a little over 393,500 inhabitants. Malé is the capital and most populated city, traditionally called the "King's Island" for its central location., Pakistan (or ), officially the Islamic Republic of Pakistan, is a federal parliamentary republic in South Asia on crossroads of Central Asia and Western Asia. It is the sixth-most populous country with a population exceeding 200 million people. It is the 36th largest country in the world in terms of area with an area covering . Pakistan has a coastline along the Arabian Sea and the Gulf of Oman in the south and is bordered by India to the east, Afghanistan to the west, Iran to the southwest and China in the far northeast respectively. It is separated from Tajikistan by Afghanistan's narrow Wakhan Corridor in the north, and also shares a maritime border with Oman., Subject: skandagupta, Relation: date_of_birth, Options: (A) 1 (B) 11 (C) 14 (D) 18 (E) 1995 (F) 2 (G) 20 (H) 200 (I) 2001 (J) 2008 (K) 22 (L) 227 (M) 25 (N) 260 (O) 3 (P) 30 (Q) 381 (R) 393 (S) 4 (T) 40 (U) 45 (V) 5 (W) 500 (X) 6 (Y) 676 (Z) 7 ([) 8 (\) 930

SOLUTION:
500