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These views and his intervention in `` temporal '' affairs led to many bitter quarrels with the Emperor Albert I of Habsburg ( 1291 â `` 1298 ) , the powerful family of the Colonnas , with Philip IV of France ( 1285 â `` 1314 ) and with Dante Alighieri ( who wrote De Monarchia to argue against it ) . | These views and his intervention in ` temporal ' affairs led to many bitter quarrels with the Emperor Albert I of Hapsburg ( 1291 â `` 98 ) , the powerful family of the Colonnas and with Philip IV of France ( 1285 â `` 1314 ) . |
There is a legend that it was Benedetto Gaetani 's doing that Celestine V renounced the papacyâ '' convincing Celestine V that no person on the earth could go through life without sin . | There is a legend that it was Boniface VIII 's doing that Celestine V renounced the papacy - for Boniface , previously Benedetto , convinced Celestine V that no person on the earth could go through life without sin . |
Pope Celestine V abdicated on December 13 , 1294 , at Naples , where he had established the papal court under the patronage of King Charles II of Sicily . | He was elected in 1294 after Pope Celestine V abdicated . |
Boniface VIII put forward some of the strongest claims to temporal , as well as spiritual , power of any Pope and constantly involved himself with foreign affairs . | Boniface VIII put forward some of the strongest claims to temporal , as well as spiritual , supremacy of any Pope and constantly involved himself with foreign affairs . |
Pope Boniface VIII ( c. 1235 â `` October 11 , 1303 ) , born Benedetto Gaetani , was Pope of the Catholic Church from 1294 to 1303 . | Pope Boniface VIII ( c. 1235 â `` October 11 , 1303 ) , born Benedetto Caetani , was Pope of the Roman Catholic Church from 1294 to 1303 . |
Stephen John `` Steve '' Finnan ( born 24 April 1976 in Limerick , Ireland ) is an unattached Irish international footballer who plays as a right back . | Steve Finnan ( born 24 April 1976 ) is an Irish football player . |
The oldest discovered bricks , originally made from shaped mud and dating to before 7500 B.C. were found at Tell Aswad then later in the upper Tigris region and in southeast Anatolia close to Diyarbakir . | The oldest shaped bricks found date back to 7,500 B.C. . They have been found in à ayà nà 1\/4 , a place located in the upper Tigris area in south east Anatolia close to Diyarbakir . |
Other more recent findings , dated between 7,000 and 6,395 B.C. , come from Jericho and Catal Hà 1\/4 yà 1\/4 k. The first sun-dried bricks were made in Mesopotamia ( what is now Iraq ) , in the ancient city of Ur in about 4000 BC , although the arch used for drying the bricks was not actually found . | Newer bricks , dated between 7,000 and 6,395 B.C. , come from Jericho and Catal Hà 1\/4 yà 1\/4 k. The inven tion of the fired brick ( as opposed to the consid erably earlier sun-dried mud brick ) is believed to have arisen in about the third millennium BC in the Middle East . |
Atlantic Canada is the region of Canada comprising the four provinces located on the Atlantic coast , excluding Quebec : the three Maritime provinces â `` New Brunswick , Prince Edward Island , and Nova Scotia â `` and Newfoundland and Labrador . | Atlantic Canada , also known as the Atlantic provinces , is the region of Canada which is made up of four provinces located on the Atlantic coast : the three Maritime provinces â `` New Brunswick , Nova Scotia , and Prince Edward Island â `` and Newfoundland and Labrador . |
Malcolm Frederick ` Mal ' Evans ( 27 May 1935 â `` 5 January 1976 ) was best known as the road manager , assistant , and a friend of The Beatles : John Lennon , Paul McCartney , George Harrison , and Ringo Starr . | Malcolm ` Mal ' Evans ( 27 May 1935 â `` 5 January 1976 ) was a road manager and assistant to The Beatles , the most popular rock and roll band of the 1960s . |
Nils Sigurd Malmros was born on October 5 , 1944 in à | Nils Malmros ( born October 5 , 1944 in à |
rhus , Denmark . | rhus ) is a Danish film director . |
Blake was included in group exhibitions at the Institute of Contemporary Arts and had his first solo exhibition in 1960 . | Blake was included in group expositions at the Institute of Contemporary and had his first solo exposition in 1960 . |
He lives in Chiswick , London , UK . | He lives in Chiswick , London , United Kingdom |
Sir Peter Thomas Blake , CBE , RDI , ( born 25 June 1932 , in Dartford , Kent ) is an English pop artist , best known for his design of the sleeve for the Beatles ' album Sgt. Pepper 's Lonely Hearts Club Band . | Sir Peter Thomas Blake , CBE ( born 25 June 1932 in Dartford , Kent ) is an English pop artist , best known for his design of the sleeve for The Beatles ' album Sgt. Pepper 's Lonely Hearts Club Band . |
During the late 1950s , Blake became one of the best known British pop artists . | During the late 1950s , Blake became one of the best know British pop artists . |
It was with the ` Young Contemporaries ' exhibition of 1961 where he was exhibited alongside David Hockney and R.B. Kitaj that he was first identified with the emerging British Pop Art movement . | It was the ` Young Contemporaries ` exposition of 1961 where he was displayed next to David Hockney and R.b Kitaj that he was first identified with the young British Pop Art movement . |
Blake won the ( 1961 ) John Moores junior award for his work Self Portrait with Badges . | Blake won the John Moores junior award ( 1961 ) for his work Selfe Portrait with Badges . |
It is the first game in Square 's Final Fantasy series . Originally released for the Nintendo Entertainment System , Final Fantasy was remade for several video game consoles and is frequently packaged with Final Fantasy II in video game collections . | Final Fantasy is a fantasy role-playing video game . |
British Rail Class 416 ( 2EPB ) electric multiple units were built between 1953 and 1956 . | The British Rail Class 416 ( or 2EPB ) electric multiple units were built between 1953 and 1956 . |
Croisilles is a village and commune in the Pas-de-Calais department of the Nord-Pas-de-Calais region of France . | Croisilles , Pas-de-Calais is a commune . It is found in the region Nord-Pas-de-Calais in the Pas-de-Calais department in the north of France . |
is +1.92 V , beyond that for chlorine to chloride , +1.36 V. As a consequence cobalt ( III ) and chloride would result in the cobalt ( III ) being reduced to cobalt ( II ) . Since the reduction potential for fluorine to fluoride is so high , +2.87 V , cobalt ( III ) fluoride is one of the few simple stable cobalt ( III ) compounds . | Cobalt ( II ) chloride is one of the most common cobalt compounds . |
The colouration is yellowish-brown with several irregularly distributed dark spots on the rear half . | This spider is yellowish-brown with many dark spots on the rear half , in no order . |
The giant huntsman spider was discovered in northern Laos in 2001 . | The giant huntsman spider ( ' , from ' , meaning â the largestâ ) is a spider of the Heteropoda genus . It is found in Laos , where it was discovered in 2001 . |
The giant huntsman spider is the largest member of the Sparassidae , boasting a 30 centimeter ( 12 inch ) leg-span , and 4.6 centimeter body-length . | It is the largest member of the Sparassidae , with a 30 centimeter ( 12 inches ) leg-span , and 4.6 centimeter body-length . |
Like all huntsman spiders , the legs of the giant huntsman spider are long compared to the body , and twist forward in a crab-like fashion . | Like all huntsman spiders , the legs of the giant huntsman spider are long compared to the body , and twist forward in a crab-like way . |
In addition , it has its own Mass Rapid Transit station , the Bishan MRT Station , on the North South Line and Circle Line . | Bishan also has its MRT station called Bishan station . |
Ministry of Education Language Centre ( MOELC ) is also located in Bishan , the other campus being located in Ghim Moh . | Bishan also has the Ministry of Education Language Center ( MOELC ) . |
Bishan currently has 3 shopping centres . | Bishan has three shopping centers . |
Currently , Bishan contains four primary schools , seven secondary schools , one junior college and a post-secondary technical education institution that are part of Singapore 's education system . | There are 4 primary schools , 7 secondary schools and one post-secondary technical education institute . The most famous school in Bishan is Raffles Institution , which is a secondary school and junior college . |
Bishan is connected to the rest of Singapore via the Central Expressway . | Bishan is next to the Central Expressway ( CTE ) . |
Bishan Park 1 is more accessible than Bishan Park 2 . | A lot of people live in Bishan . Houses in Bishan are expensive , because Bishan is near the city and you can easily go to Bishan . |
The Pour le MÃ rite , known informally as the Blue Max , was the Kingdom of Prussia 's highest military order for German soldiers until the end of World War I. | The Pour le MÃ rite , was an medal during World War I and is also known as the Blue Max . It was the Kingdom of Prussia 's highest military order until the end of World War I. |
Aswan is one of the driest inhabited places in the world ; as of early 2001 , the last rain there was seven years earlier . | Aswan is one of the driest places in the world where people actually live ; as of early 2001 , the last rain there was 6 years earlier . |
In Nubian settlements , they generally do not bother to roof all of the rooms in their houses . | In Nubian settlements , the people often do not put a roof over all of the rooms in their houses . |
As of 2007 , the last rainfall was a thunderstorm on May 13 , 2006 . | As of October 13 , 2007 , the last rainfall was a thunderstorm on May 13 , 2006 . |
Monaco-Ville is the original fortified town of Monaco and is one of Monaco 's administrative areas , sometimes erroneously believed to be a town or the country 's capital , just as Monte Carlo . | Monaco-Ville is the original fortified town of Monaco . |
Andrew Vowles departed shortly after the release of Mezzanine , and Grant Marshall refused to participate in the making of the record . | Andrew Vowles left shortly after the release of Mezzanine , and Grant Marshall did not want to be in the making of the record . |
Of the band 's original core trio , the album only features Robert Del Naja . | Of the band 's original core people , the album only features Robert Del Naja . |
Released in February 2003 , 100th Window was written and produced by Del Naja and Neil Davidge , and features vocals from Horace Andy and Sinà ad O'Connor , as well as an imperceptible appearance by Damon Albarn . | Released in February 2003 , 100th Window was written and produced by Del Naja and Neil Davidge , and features vocals from Horace Andy and Sinà ad O'Connor , as well as one appearance by Damon Albarn . |
Qi Yuwu ( born 28 November 1976 ) is a China-born Singapore film and television actor . | Qi Yuwu ( Chinese : æ ç æ ; pinyin : QÄ `` YÃ wÇ '' ; born November 28 , 1976 ) is a television and movie actor . Qi was born in Guangzhou , China . |
Previously , Qi worked as a model and played the lead role in a Guangzhou TV series , before signing on a contract with Singapore 's MediaCorp Studios . | Before signing to MediaCorp Studios , he was a model . He had also played the lead part in a Guangzhou television serial . |
He won the title of Champion and Mr Personality in the China Round of Asian Star Search in 1999 . | He was the winner the China Round of Asian Star Search 1999 , Singapore 's regional talent search contest . He also won `` Mr. Personality '' . |
Qi graduated with a major in physical education . | Qi was a Physical Education major graduate . |
It was discovered by Matthew J. Holman , John J. Kavelaars , Dan Milisavljevic , and Brett J. Gladman on August 13 , 2001 , and given the provisional designation S\/2001 U 2 . | It was found by Matthew J. Holman , John J. Kavelaars , Dan Milisavljevic , and Brett J. Gladman on August 13 , 2001 and given the designation S\/2001 U 2 . |
The diagram illustrates the orbital parameters of the retrograde irregular satellites of Uranus ( in polar co-ordinates ) with the eccentricity of the orbits represented by the segments extending from the pericentre to the apocentre . | The diagram illustrates the orbital parameters of the retrograde non-spherical moons of Uranus ( in polar co-ordinates ) with the eccentricity of the orbits represented by the segments extending from the pericentre to the apocentre . |
Ferdinand is the most distant known satellite of Uranus . | Ferdinand is the farthest known moon of Uranus . |
It follows a retrograde , modestly inclined but highly eccentric orbit . | It follows a retrograde , fairly inclined but very eccentric orbit . |
Designated Uranus XXIV , it was named after the son of the King of Naples in William Shakespeare 's play The Tempest . | Designated Uranus XXIV it was named after the son of the King of Naples in William Shakespeare 's play The Tempest . |
It was finally recovered on September 24 , 2003 , by Scott S. Sheppard on images obtained by David C. Jewitt and himself on August 29-30 and September 20 of that year . | It was finally refound on September 24 , 2003 by Scott S. Sheppard on images taken by David C. Jewitt and himself on August 29-30 and September 20 of that year . |
Oberentfelden is a municipality in the district of Aarau of the canton of Aargau in Switzerland . | Oberentfelden is a municipality of the district of Aarau of the canton of Aargau in Switzerland . |
Video games developed by Japanese studio Intelligent Systems , a division of Nintendo . | This category is for video games made by Intelligent Systems , a part of Nintendo . |
Oleksandr Volodymyrovych Shovkovskiy ( born 2 January 1975 in Kiev ) is a Ukrainian professional football goalkeeper . | Oleksandr Shovkovskiy ( born 2 January 1975 ) is an Ukrainian football player . |
The Action Fraud website also has an A-Z of fraud describing different types of fraud , and offers prevention advice . | A fraud can also mean somebody who does such tricks . Fraudulent is the word used to describe something that is fraud , or is causing fraud . |
Action Fraud is the UK 's national fraud reporting service , run by the National Fraud Authority . Action Fraud is the place to go to get information and advice about fraud , as well as to report fraud . | Fraudulent is the word used to describe something that is fraud , or is causing fraud . |
Unwritten is the debut album released by pop singer Natasha Bedingfield . | Unwritten is an album by Natasha Bedingfield . |
In 2006 , the album was re-released in North America with new album artwork and a slightly altered track listing . | This album was released in North America again during 2006 , with new album artworks and a slightly different track listing . |
San Salvador Island , also known as Watling Island , is an island and district of the Bahamas . | San Salvador Island , also known as Watling Island , is an island in the Bahamas , that is said to have been found by Christopher Columbus during his first trip to the New World . |
The original name was re-adopted in 1992 as being more indicative of the area served and to promote the nearby Edmonton Green shopping center . | It reverted to its original name in 1992 to better reflect the name of the area which it serves . It is located close to Edmonton Green shopping center . |
Edmonton Green railway station is a station in the London Borough of Enfield in north east London on the White hart lane branch of the Lea Valley Lines . | Edmonton Green railway station is in the London Borough of Enfield in north east London , and is in Travelcard Zone 4 . It is on the Seven Sisters branch of the Lea Valley Lines . |
The station was opened near the now closed Lower Edmonton ( low level ) railway station as `` Edmonton Green '' on July 22 , 1872 by the Great Eastern Railway ( GER ) on its new more direct line from central London . It was renamed `` Lower Edmonton '' on July 1 , 1883 . | The station was opened as Edmonton Green on July 22 1872 and was renamed to Lower Edmonton on July 1 1883 . |
The station and all trains serving it are operated by National Express East Anglia . | The station , and all trains serving it , is operated by National Express East Anglia . |
On 18 January 1701 , Frederick William 's son , Elector Frederick III , upgraded Prussia from a duchy to a kingdom and crowned himself King Frederick I. To avoid offending Poland , where a part of the old Prussia lay , Leopold I , emperor of the Holy Roman Empire where most of the lands of Prussia lay , allowed Frederick only to title himself `` King in Prussia '' , not `` King of Prussia '' . | In 1701 the Holy Roman Emperor and Polish King allowed Brandenburg-Prussia to have the name `` Kingdom of Prussia '' under Frederick I. Under Frederick II ( `` the Great '' ) , Prussia took Silesia from Austria and kept it in the Silesian Wars . |
With the end of Nazi rule in 1945 came the division of Germany into Zones of Occupation , and the transfer of control of everything east of the Oder-Neisse line , ( including Silesia , Farther Pomerania , Eastern Brandenburg , and southern East Prussia ) , to Poland , with the northern third of East Prussia , including KÃ nigsberg , now Kaliningrad , going to the Soviet Union . | Poland took everything east of the Oder-Neisse line , e.g. Silesia , Pomerania , eastern Brandenburg and East Prussia . The Soviet Union took the northern third of East Prussia , including KÃ nigsberg , now Kaliningrad . |
Brandenburg and Prussia were unified two generations later . Anna , granddaughter of Albert I and daughter of Duke Albert Frederick ( reigned 1568 â `` 1618 ) , married her cousin Elector John Sigismund of Brandenburg . | In 1618 the new Duke of Prussia was the Elector John Sigismund of Brandenburg . |
Chinedum `` Nedum '' Onuoha ( born 12 November 1986 in Warri , Nigeria ) is an English footballer of Nigerian descent . | Nedum Onuoha ( born 12 November 1986 ) is an English football player . |
He currently plays for Sunderland on loan from Manchester City . | He plays for Manchester City . |
Akihabara , also known as Akihabara Electric Town , is an area of Tokyo , Japan . | Akihabara is a district of Tokyo , famous for electrical items and anime . |
Some proofs use the fact that if a prime number p divides the product of two natural numbers a and b , then p divides either a or b , a statement known as Euclid 's lemma . | So we know for the outcome of the products that A = B. Take any prime p from the first product A. It divides the A , so it also divides B. Using several times the lemma that we just proved , we can see that p must then divide at least one factor b of B. But the factors are all primes themselves , so also b is prime . |
It can not be a prime number either , since any prime number is a product of a single prime , itself . | Further , it can not be a prime number , because a prime number is a ` product ' of a single prime : itself . |
By convention , the number 1 is not itself prime , but since it is the product of no numbers , it is often convenient to include it in the theorem by the empty product rule . | Further , it can not be a prime number , because a prime number is a ` product ' of a single prime : itself . So it must be a product of numbers . |
In number theory , the fundamental theorem of arithmetic ( or the unique-prime-factorization theorem ) states that any integer greater than 1 can be written as a unique product ( up to ordering of the factors ) of prime numbers . | The Fundamental theorem of arithmethic ( also called the unique factorization theorem ) is a theorem of number theory . The theorem says that every positive integer greater than 1 can be written as a product of prime numbers ( or the integer is itself a prime number ) . |
A ring in which the Fundamental Theorem of Arithmetic holds is called a unique factorization domain . | The Fundamental theorem of arithmethic ( also called the unique factorization theorem ) is a theorem of number theory . |
Thus Theorem 1 of takes the form , `` Every positive integer , except 1 , is a product of one or more primes , '' and Theorem 2 ( their `` Fundamental '' ) asserts uniqueness . By convention , the number 1 is not itself prime , but since it is the product of no numbers , it is often convenient to include it in the theorem by the empty product rule . | The theorem says that every positive integer greater than 1 can be written as a product of prime numbers ( or the integer is itself a prime number ) . |
Then there must be a smallest such number ( see well-order ) : let it be n. This number n can not be 1 , because of the empty-product convention above . | One of these numbers must be the smallest : let 's call it n. Of course , this number n can not be 1 . |
This was first pointed out by Ernst Kummer in 1843 , in his work on Fermat 's Last Theorem . | This was first mentioned by Ernst Kummer in 1843 , in his work on Fermat 's last theorem . |
Although at first sight the theorem seems ` obvious ' , it does not hold in more general number systems , including many rings of algebraic integers . | However , the theorem is not true in more general number systems , like algebraic integers . |
where both a and b are positive integers smaller than n. Since n is the smallest number which can not be written as a product of primes , both a and b can be written as products of primes . | where both a and b are positive integers that are of course smaller than n. But : n was the smallest number that can not be written as a product of primes . So it must be possible to write a and b as products of primes , because they are both smaller than n. But then the product |
The key step in proving uniqueness is Euclid 's proposition 30 of book 7 ( known as Euclid 's lemma ) , which states that , for any prime number p and any natural numbers a , b : if p divides ab then p divides a or p divides b. | To do this , we use the following lemma : if a prime number p divides a product ab , then it divides a or it divides b ( Euclid 's lemma ) . |
Croix-Fonsommes is a commune in the Aisne department in Picardy in northern France . | Croix-Fonsommes is a commune . It is found in the region Picardie in the Aisne department in the north of France . |
Saint-Cyr-en-Pail is a commune in the Mayenne department in north-western France . | Saint-Cyr-en-Pail is a commune of 441 people ( 1999 ) . It is found in the region Pays de la Loire in the Mayenne department in the northwest of France . |
Players follow the spoken instructions of the game unit by choosing the correct number or color . | Players follow the spoken words of the game unit by choosing the correct number or color . |
Its catch phrase is `` If you do n't keep up with me , you 're finished ! '' . | Its catch phrase is `` If you do n't keep up with me , you 're finished ! '' |
Brain Warp is an electronic audio game made by Tiger Electronics and released in 1996 . | Brain Warp is an electronic toy made by Tiger Electronics and released in 1996 . |
Max Ferdinand Perutz , FRS , OM , CBE ( May 19 , 1914 , Vienna , Austria â `` February 6 , 2002 , Cambridge , United Kingdom ) was an Austrian-born British molecular biologist , who shared the 1962 Nobel Prize for Chemistry with John Kendrew , for their studies of the structures of hemoglobin and globular proteins . | Max Ferdinand Perutz FRS OM CBE ( Vienna , Austria , 19 May 1914 â `` Cambridge , England , 6 February 2002 ) was an Austrian-born British molecular biologist . |
Elton Divino Celio , better known as Eltinho , ( , born July 7 , 1987 in Guaira , Brazil ) is a Brazilian left back who current plays for the Campeonato Brasileiro team Coritiba . | Eltinho ( born 7 July 1987 ) is a Brazilian football player . |
The Pacific Ocean is the largest of the Earth 's oceanic divisions . It extends from the Arctic in the north to the Southern Ocean in the south , bounded by Asia and Australia in the west , and the Americas in the east . | The Pacific Ocean is the body of water between Asia and Australia in the west , the Americas in the east , the Southern Ocean to the south , and the Arctic Ocean to the north . |
An electric motor converts electrical energy into mechanical energy . | An electric motor changes electrical energy into mechanical movement . |
Most cast irons have a chemical composition of 2.5 to 4.0 % carbon , 1 to 3 % silicon , and the remainder is iron . | Grey cast iron has 2 % silicon and 3 % carbon . |
Cast iron usually refers to gray iron , but also identifies a large group of ferrous alloys , which solidify with a eutectic . | The term is usually used for gray cast iron . There are two main types of cast iron : gray cast iron and white cast iron . |
It is the most commonly used cast iron and the most widely use cast material based on weight . | There are two main types of cast iron : gray cast iron and white cast iron . |
Fovu Baham is a Cameroonian football club based in Baham . | Fovu Baham is a football club which plays in Cameroon . |
Over 250 native species have been recorded in the park , 29 of which are considered rare or threatened in Victoria , including the Long-footed Potoroo , Spotted Quoll ( Tiger Quoll ) , Giant Burrowing Frog and Eastern She-oak Skink . | Over 250 species have been found in the park , 29 are rare or threatened in Victoria . These include the Long-footed Potoroo , Spotted Quoll ( Tiger Quoll ) , Giant Burrowing Frog and Eastern She-oak Skink . |
Numbers for this species are estimated as extremely small , with the rugged terrain making it difficult to accurately monitor the species population . | Numbers for this species are estimated as extremely small , with the rugged terrain making it difficult to count the population . |
Snowy River is a national park in Victoria ( Australia ) , 323 km east of Melbourne . | Snowy River National Park is a national park in Victoria ( Australia ) , 323 km east of Melbourne . |
Little River gorge is Victoria 's deepest gorge , with the Little River dropping 610 metres off the Wulgulmerang plateau over 14 km to the Snowy River at an elevation of 122 metres above sea level . | Little River Gorge is Victoria 's deepest gorge . The Little River drops 610 metres from the Wulgulmerang plateau over a distance 14 km to where it joins the Snowy River at a height of 122 metres above sea level . |
The park provides one of the last natural habitats at the Little River Gorge for the endangered Brush-tailed Rock Wallaby . | The park in the Little River Gorge area , has one of the last natural habitats for the endangered Brush-tailed Rock Wallaby . |
The road is designated unsuitable for caravans , trailers and semi-trailers due to its long , narrow , and steep descent down to McKillops Bridge which crosses the Snowy River near its juncture with the Deddick River . | The road is not suitable for caravans , trailers and large trucks because it is steep and winding . At McKillops Bridge the road which crosses the Snowy River near its junction with the Deddick River . |
A camping site near McKillops Bridge provides an excellent site for swimming , launching canoes and rafting through the rugged gorges downstream , or the start for the 18km Silver Mine Walking Track and the short Snowy River Trail . | It is also a good place to begin canoe and raft trips through the rugged gorges downstream . It is the start for the 18km Silver Mine Walking Track and the short Snowy River Trail . |
Much of the park is classified as wilderness area , where vehicles are unable to visit . | A lot of the park is a protected wilderness area , with no access for vehicles . |
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