Mathematical Grammar School

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Charter school in Serbia

Belgrade Mathematical Gymnasium

Математичка гимназија Београд
Matematička gimnazija Beograd

Address

Kraljice Natalije 37

Belgrade

Serbia

11000

Information
Type| Charter school
State school
Elementary school and High school
Gymnasium (school)
University-preparatory school
Day school and Boarding school
Motto| Vidi se sa slike
Founded| 1966
Principal| Mirjana Katić (University of Belgrade)
Staff| 160

full-time staff: 102
special (specialized) teachers (professors): 58
25% hold PhD degree
38% hold Master of Science
16% hold Magister of Science degree
11% hold Ma degree

10% are Graduate students
Gender| Co-educational
Age| 12 to 19
Number of students| 550 (395 boys, 155 girls)
Houses| 1
Colour(s)| Purple and White
Publication| Informator, Matematički priručnik, MG News

Special Mathematics Textbooks for MG
Special Physics Textbooks for MG

Special IT Textbooks for MG
Alumni| Circa 2,000 PhD degree holders
Website| www.mg.edu.rs

Mathematical Grammar School (Serbian: Математичка гимназија Београд, romanized: Matematička gimnazija Beograd, abbr. "MG" or "MGB"), is a special school for gifted and talented students of mathematics, physics and informatics located in Belgrade, Serbia.

The School has developed its own Mathematical Grammar School Curriculum[1][2][3] in various mathematics, physics, and IT subjects. There are approx. 160 teachers employed, mostly scientists. One half of the professors come from University of Belgrade staff, Institute of Physics Belgrade, and Mathematical Institute of Serbian Academy of Sciences and Arts. More than half of the teachers are former students of the school. The average professors' work experience is 18 years.[4]

In 2011, the school had 550 students aged 12–19. There were 155 girls and 395 boys.[5]

## History

[edit]

First generation of Mathematical Grammar School students National Theater and Ballet performance, honoring success of Mathematical Grammar School students at International Mathematics Olympiad and International Physics Olympiad, at one of the schools anniversaries. Mathematics and Physics together, science and human ability to create and destroy, a metaphor by National Ballet dancers in National Opera House. 19 September 2006.

The school was established in 1966, following the model of Kolmogorov School at Moscow University which had been launched in Moscow a year earlier, in 1965, under Lomonosov Moscow State University, by one of the greatest mathematicians of the 20th century, Andrei Nikolayevich Kolmogorov, and which was later named after him – Kolmogorov School.

In 1977, as part of a statewide education reform in former Yugoslavia, the School was merged into the streamlined secondary education (in Serbian: srednje usmereno obrazovanje), thus cancelling many, but not all, specifics and advantages over other schools. At that time principal, Milan Raspopović was desperately pulling strings in scientific and policy-making community to re-establish special status, special rights, special funding, and special curriculum[citation needed][according to whom?]. As a result, eleven years later, in 1988, the School was officially re-established as a specialized school, this time in the form of an experimental education institution.[6] New curriculum was officially published in 1989, in Official Gazette of Socialist Republic of Serbia, no.2, 15 April 1989.[7]

The "experimental status" finally concluded in 1995, when the School was recognized as a "Specialized school for talented/gifted students in mathematics, informatics, physics, and other natural sciences" by the Serbian Ministry of Education. At the same time, the School was given the status of a "school of special national importance", as the first school of its kind in Yugoslavia.[8]

Although MGB is formally classified as a special secondary school ("srednja škola", grades nine to twelve in the Serbian education system, for funding and other legal reasons), it enrolls experimental classes of the seventh and eighth grade primary school (age 12 and above). It is the only school in Serbia and in all states formed from former Yugoslavia that has merged elementary school (or part of it) and high school.

Students of Mathematical Grammar School have the highest grade point average (GPA) compared to students from other schools and the same rule applies to their university studies, whether in Serbia or abroad.

See also: Academic grading in Serbia and Education in Serbia.

## List of school principals

[edit]

The School has had 6 principals in its history, all of whom are authors of university, high school, and elementary school textbooks and accompanying collections of solved problems and questions. Five principals were mathematicians, and one – and the longest serving principal – was a physicist.

Five MGB principals with Doctor of Sciences titles, and one with Doctor of Science title, earned their degrees at University of Belgrade and served as university professors and as professors at Mathematical Grammar School.

Year  | Principal

|

1966–1968  | Ranko Radovanović, Magister of Sciences, director of Educational and Pedagogical Institute
1968–1971  | Dušan Adnađević,[9] Doctor of Sciences in Mathematics, University of Belgrade; Faculty of Natural Sciences and Mathematics, retired
1971–2001  | Milan Raspopović, Doctor of Sciences in Physics and Philosophy, University of Belgrade; Faculty of Electrical Engineering, retired
2001–2004  | Ljubomir Protić, Doctor of Sciences in Mathematics; University of Belgrade
2004–2008  | Vladimir Dragović, Doctor of Sciences in Mathematics, University of Belgrade; Faculty of Mathematics
2008–2019  | Srđan Ognjanović, Magister of Sciences, University of Belgrade; Faculty of Mathematics
2019–present  | Mirjana Katic, University of Belgrade; Faculty of Mathematics

## Competitions

[edit]

First Youth Olympic Games, Singapore, 14–26 August 2010. 32 representatives of Serbia. Leaders of National Team were Katarina Biserčić (European shooting champion) and Luka Milićević (gold medal winner in mathematics, informatics, and astronomy, from international scientific Olympiads; student of D-division of Mathematical Gymnasium). After graduating in 2010, Luka Milićević received full scholarship and enrolled prestigious Trinity College at University of Cambridge, UK.

The School prepares students for various national and international competitions science competitions. As of 2012[update] Mathematical Grammar School students had won several hundred medals from top international competitions around the world. They won 121 medals at International Science Olympiads, about the same number at Junior Olympiads, and about double that number at other top competitions, mostly in USSR, Russia, China, India, and Europe.

### International Olympiads

[edit]

MGB students have won many national and international awards.[10][11][12]

International Olympiad on Astronomy and Astrophysics, China, 12–21 September 2010. Serbia was represented by 5 members team, all of whom were students of MGB. They won 4 medals and one honorable mention: 1 gold, 2 silver, 1 bronze, 1 honorable mention. Number of medals  | Competition

|

121  | International Mathematics Olympiad
52  | International Physics Olympiad
23  | International Olympiad in Informatics
28  | International Astronomy Olympiad
8  | International Olympiad on Astronomy and Astrophysics
16  | Olympiads in General Science
more than 400  | various other international competitions

### Year 2009

[edit]

In 2009, during July and August, students of Mathematical Grammar School won 12 medals in International Olympiads: 5 medals in Olympiads in Mathematics, 4 medals in International Physics Olympiad, 3 medals in International Olympiad in Informatics, 3 medals in International Olympiad on Astronomy and Astrophysics, 1 medal, and 3 honorable mentions in International Astronomy Olympiad.[13]

The total number of gold, silver, and bronze medals, and honorable mentions, won in various international competitions in 2009 is 70.[13]

### Year 2010

[edit]

At the 2010 International Mathematics Olympiad (5–15 July 2010, Kazakhstan), Serbia was represented by a team of 6 competitors, all 6 students from Mathematical Grammar School, 15–19 years old. The result is Serbia ranks 10th in the world, with 1 gold, 3 silver, and 1 bronze medal won, and the Mathematical Gymnasium school ranks as the best (rank: 1) school among all special and/or regular schools in the world.[14][15]

Medals  | Competition

|

1 gold, 3 silver, 2 bronze[16][17][18][19] | 51st International Mathematics Olympiad, Kazakhstan[14]
4 bronze  | 41st International Physics Olympiad, Zagreb, Croatia
1 bronze  | 22nd International Olympiad in Informatics, Canada
1 gold, 1 silver, 2 bronze, 1 honorable mention.  | International Astronomy Olympiad, Crimea, Ukraine
1 gold, 2 silver, 1 bronze, 1 h.m.  | International Olympiad on Astronomy and Astrophysics, China
5 gold, 4 silver, 3 bronze  | Mathematics, Kolmogorov Special School, International Competition, Moscow, Russia
3 gold, 3 silver  | "Archimedes" International Competition in Mathematics, Romania

MGB awarded "Absolute Winner" title. MGB student Vukašin Stojisavljević was overall ranked as first.

1 bronze  | Balkans Olympiad in Informatics, Montenegro
1 silver, 1 bronze  | 14th Junior Balkan Mathematical Olympiad, Romania[20]
2 gold, 2 bronze, 2 silver  | XXVII Balkan Mathematical Olympiad,[21] Moldavia
2 silver, 2 bronze  | Euler's Russian Olympiad in Mathematics, Russia[22]
2 silver, 1 bronze, 1 h.m.  | Romanian Master in Mathematics, Romania

Romanian Master in Mathematics is an Olympiad for the selections of the 20 top countries in the last International Mathematical Olympiad, i.e. for the best 100 high-school mathematicians in the world

1 silver, 3 bronze  | 7th Junior Scientific Olympiad, Nigeria

In total:

57 medals, 3 honorable mentions

| at some of the major international competitions in 2010.
Serbian Minister of Youth and Sports, congratulating MGB students and professors. Serbian Minister of Education, congratulating MGB students and professors.

In 2010, students of Mathematical Gymnasium have won 28 medals and honorable mentions[23] namely: at 2010 Olympiad in Mathematics (5–15 July 2010, Kazakhstan[14]) 6 medals: 1 gold, 3 silver, 2 bronze;[16][17][18][19] at Euler's Russian Olympiad in Mathematics (24–27 March 2010, Russia[22]), Mathematical Gymnasium was the only non-Russian competitor and its 4-members team won 4 medals: 2 silver and 2 bronze;[24] in highly selective Romanian Master in Mathematics (24 February – 2 March 2010, Romania): 2 silver and 1 bronze medal, and 1 honorable mention (Romanian Master in Mathematics is an olympiad for the selections of the 20 top countries in the last IMO. The level of the competition is IMO-like. The format had been 4 problems in 5 hours in 2009, in 2010 it was changed to 3 problems in 4 hours, two days format.); at XXVII Balkan Mathematical Olympiad[21] (3–8 May, Moldavia) 6 medals: 2 gold, 2 bronze, 2 silver; at International competition "Archimedes" (7–18 June 2010, Bucharest), Mathematical Grammar School won the first place, and its 6 students took 6 medals: 3 gold and 3 silver medals;[25] at XIV Junior Balkan Mathematical Olympiad (18–22 June 2010): 1 silver medal and 1 honorable mention.[20]

### Year 2011

[edit]

This section needs to be updated. The reason given is: the school has won several gold, silver, and bronze medals in IMO, IPhO, Informatics Olympiad, Science Olympiad, etc. Please help update this article to reflect recent events or newly available information. (November 2011)

|

In the All Russian Mathematical Competition, organized by the Kolmogorov Special School,[26] the Mathematical Grammar School won, "The Absolute First Prize in all categories", and one MGB student, Teodor von Burg, won the gold medal, first prize, and maximum number of points. This is the 2nd time MGB won the Kolmogorov competition.

Medals  | Competition

|

1 gold, 1 silver, 1 honorable mention  | Romanian Master in Mathematics, Romania

Romanian Master in Mathematics is an Olympiad for the selections of the 20 top countries in the last International Mathematical Olympiad, i.e. for the best 100 high-school mathematicians in the world

so far: 2 medals, 1 honorable mentions  | at some of the major international competitions in 2011.

### Other prizes and awards

[edit]

Erste Group Erste Bank Club 27: winner of Grand Prize 2010, Luka Milićević, MGB student The Men Magazine award "The MEN of the Year 2010" went to 4 MGB students: Teodor fon Burg, Rade Špegar, Stevan Gajović, and Filip Živanović.

Students of Mathematical Grammar School have won many other prizes in addition to the International Science Olympiads.

As part of the "27 Club", which Erste Bank implemented for the third consecutive year in 2010, with the aim to promote talented young people and help them to get well-deserved public recognition for their work and the results, 2010 year's award winners were declared. In the category of science, the winner of a Grand Prize was Luka Milićević,[27] and the winner of Erste Bank Prize in the field of natural and technical sciences and technology was Dušan Milijančević. Both students are final year students of D-division of Mathematical Grammar School.

At Microsoft's Imagine Cup, students of Mathematical Grammar School were in finals, among top 6 teams in the world.[28]

Other numerous medals from the Balkans Olympiads in Mathematics, Physics and Informatics are being won every year.[10]

## Curriculum and core subjects

[edit]

Main areas of study are divided into sub-branches or sub-disciplines. Courses are delivered on a per-semester basis.

### Mathematics

[edit]

Mathematics is divided into fields of Algebra, Geometry, Linear Algebra, Analytical Geometry, Mathematical Analysis, Probability, Statistics, Numerical Analysis, and Selected Chapters in Mathematics.

### Physics

[edit]

Physics is taught from Newtonian mechanics, Fluid Dynamics, Waves, Optics, Electricity, Magnetism, to modern physics, usually ending with STR, Relativistic Dynamics, Quantum Theory, Quantum Mechanics, Molecular Physics, Physical Chemistry, Atomic Physics, Solid State Physics, Quantum Optics, Nuclear Physics, Nuclear Engineering, Elementary Particle Physics, introduction to Astrophysics and Cosmology, General Relativity, and some basic introductions to String Theory, Cosmology, and M-Theory.

### Informatics and computer science

[edit]

There are 5 computer labs in Mathematical Gymnasium, with ca. 110 dual core and quad core computers, and one super-computer. The School operates its own wireless network. Students gain knowledge in programming languages (Pascal, Delphi, C, C++, C#, Java; Fortran; Prolog), operating systems (Windows, Linux, Unix), databases and DBMS (Oracle Database, Microsoft SQL Server, PostgreSQL, MySQL), and in various IT and ICT fields.

There are 10 two-semester (2×19 weeks) IT courses students must pass during schooling. There is one special (additional) week in each semester, reserved for IT subjects only (so called "block classes"), for students to have lessons only in ICT subjects.

### Business and finance

[edit]

School offers modules in financial mathematics, as well as in business related studies.

### History of school's IT Department

[edit]

The first professor of programming in MGB was Ljubomir Protić, professor at University of Belgrade, Faculty of Mathematics, who started teaching programming subjects from school year 1968/69.; 33 years later, professor Protić served as Principal of Mathematical Grammar School (2001–2004).

Later on, many University of Belgrade professors, primarily from Faculty of Mathematics, Faculty of Electrical Engineering, and Faculty of Physics, as well as from Belgrade Institute of Physics and from Vinča Institute of Nuclear Sciences, joined informatics teaching staff at Mathematical Grammar School.

### School's IT club

[edit]

CEO of Microsoft Development Center Serbia, Dejan Cvetković, himself a former student and graduate of Mathematical Grammar School, with students who ranked among best 6 teams in the world, and with Snežana Samardžić Marković, Serbian Minister for youth and sports. Vladan Simov, student of Mathematical Grammar School, ranked 3rd at this prestigious world competition and won US$3,000 prize from Microsoft.

Programmers club at Faculty of Electrical Engineering [2] was opened by the MG alumni in 1983, by MG alumnus Dejan Ristanović (graduated in 1981).[29] At the same time was opened Programmers club of Mathematical Grammar School. Dejan Ristanović and MGB alumni founded and run "PC Press" publishing house.[30]

All of part-time ICT teachers and special ICT teachers are former MGB students.

## Sports

[edit]

The school teams regularly play in tournaments in volleyball, handball, basketball, and football.[31] There is an active swimming section each generation has several divers among students.[31] Students can train in karate, taekwondo, judo, and aikido.[31] There are active badminton and table tennis sections.[31] Mountaineering, biking, and hiking are the most popular outdoor activities.[31]

Yachting was very popular during the eighties and nineties, and the School had national team members who competed around the world.[31]

## Notable alumni

[edit]

Belgrade Mayor, Mr. Nenad Bogdanović (deceased), giving speech at the MGB anniversary. Mr. Bogdanović was Mathematical Grammar School alumnus, graduated 1973.[29]

Notable alumni include athletes Slobodan Soro and Rajko Jokanović, chess player Alisa Marić, former Minister of Telecommunications and Information Society in the Government of Serbia Aleksandra Smiljanić, and former Mayor of Belgrade Nenad Bogdanović.

## Sponsorships

[edit]

Telekom Serbia CEO Mr. Branko Radujko and MGB Director Srđan Ognjanović, after they signed a contract. Telecom Serbia invest in telecommunication infrastructure of MGB. JAT Airways and MGB representatives signed a contract. JAT Airways invest in travel costs of MGB students at the top international competitions.

Mathematical Gymnasium has been sponsored by JAT Airways[28] (national air-traffic company), Telekom Srbija (Telecom Serbia, the largest telecom operator in former Yugoslavia and in modern Serbia),[28] and the Serbian Academy of Sciences and Arts,[28]

## Distinguished guests

[edit]

Students with the Archbishop of Peć during his visit to Mathematical Grammar School, 25 January 2005. To the right of the archbishop is Principal Vladimir Dragović. Students with the Archbishop of Peć and Episcop (Bishop) Atanasije.
22 June 2010. Visit of the Archbishop of Peć.
In this picture, viewers left to right, are: Principal Vladimir Dragović; acting Principal Srđan Ognjanović, Archbishop of Peć, professor Nataša Čaluković.

Mathematical Grammar School has been visited by many distinguished guests. Among notable guests outside the world of mathematics, physics and informatics, were, during last 5 years only (i.e. after 2005), among many others:

* former Serbian Prime Minister Zoran Đinđić,
* Serbian President Boris Tadić,
* former Belgrade Mayor Nenad Bogdanović, himself an alumnus of MGB,[29]
* then Serbian Prime Minister Vojislav Koštunica,
* Serbian Patriarch Pavle,
* Serbian Patriarch Irinej,[28][32][33]
* Alexander, Crown Prince of Yugoslavia,
* Katherine, Crown Princess of Yugoslavia,
* Kim Young-Hee, Ambassador of the Republic of Korea.

Michael O'Sullivan, Director of the Cambridge Commonwealth Trust, visited Mathematical Grammar School.
This event was recorded by the Radio Television of Serbia, and students who received at least two scholarships were interviewed.
21 June 2010.

On Monday, 21 June 2010, Michael O'Sullivan, Director of the Cambridge Commonwealth Trust paid visit to Mathematical Grammar School.[34]

## Legal status

[edit]

The School operates as a public school and acts as a member of Serbian education system, which is governed by the Ministry of Education.

Formally a part of former Yugoslav and now Serbian state educational system (i.e. financed by the state), Mathematical Grammar School had a status of "experimental school", which allowed it to operate autonomously since its foundation.

It has funding independent from general high school funding and is helped both by the state and by the University of Belgrade. University pay scale applies to all employees.

Mathematical Grammar School has the following legal statuses:

* "Experimental school whose aim is to reinforce mathematical education for students which show a special gift for mathematics and natural sciences", according to the decision of the Educational Council of SR Serbia (Decision no. 110-32/89 from 18 January 1989);
* "School for talented students in the areas of mathematics and natural sciences", according to the decision of the Ministry of Education of Serbia;
* "School of special national interest", according to the decision of the Government of the Republic of Serbia. (please see picture on the right)

## Building and facilities

[edit]

The school's main building has an area of 2,144.98 m2, not including basement labs.

It has 11 specialized classrooms (5 for informatics related subjects, 2 for physics, 1 for mathematics, 1 for chemistry, 1 for biology, 1 for foreign languages), 1 server room with equipment for administration of over 100 LAN and WLAN stations in the School, 13 large classrooms and 3 smaller classrooms for mentor teaching and preparation for competitions. Other rooms include the assembly hall, the ceremonial hall, a library with over 10,000 books and textbooks and a mediatheque, basement laboratories, the MG TV studio(a student run YouTube program),[35] administrative staff rooms, cleaning staff rooms, secretary's office, accounting department, copy center, psychologist's office, and the offices of the principal and vice principal.[36]

## References

[edit]

1. ^ Mathematical Gymnasium Belgrade – Academic Curriculum webpage. Accessed: 1 March 2011. Archived 2011-02-01 at the Wayback Machine. Permalink.
2. ^ Mathematical Gymnasium Belgrade – Upper grades curriculum. Accessed: 28 February 2011. Archived 2011-10-05 at the Wayback Machine. Permalink.
3. ^ Mathematical Gymnasium Belgrade – Lower grades curriculum. Accessed: 28 February 2011. Archived 2011-10-05 at the Wayback Machine. Permalink.
4. ^ Mathematical Gymnasium Belgrade, Annual Plan, 2010/2011[permanent dead link], page 7 of 69. PDF document.(in Serbian)
5. ^ Mathematical Gymnasium Belgrade, Annual Plan, 2010/2011[permanent dead link], page 8 of 69. PDF document.(in Serbian)
6. ^ History of Mathematical Gymnasium Belgrade Archived 3 March 2016 at the Wayback Machine (in Serbian)
7. ^ Mathematical Gymnasium Belgrade, Annual Report[permanent dead link], page 2 of 76. PDF document.(in Serbian)
8. ^ Mathematical Gymnasium is a school of Special National Interest (JPEG), Official Records from Serbian Ministry of Education.
9. ^ Eightieth anniversary of the birth of prof. dr Dušan Adnađević. The European Mathematical Information Service – EMIS.
10. ^ a b Achievements, honors, and awards Archived 22 May 2010 at the Wayback Machine (in Serbian)
11. ^ Competitions (in Serbian)
12. ^ History Archived 3 March 2016 at the Wayback Machine (in Serbian)
13. ^ a b International competitions in 2009 Archived 3 March 2016 at the Wayback Machine (in Serbian)
14. ^ a b c Country results and awards: Serbia ranks 10th in the world
15. ^ 2010 Olympiad in Mathematics: Individual results
16. ^ a b International Mathematical Olympiad – Individual Results 2010
17. ^ a b Serbia at the IMO
18. ^ a b Наши математичари десети у свету (in Serbian)
19. ^ a b [1] MG mathematicians took the 10th place in a world competition, the 51st IMO
20. ^ a b XIV Junior Balkan Mathematical Olympiad
21. ^ a b XXVII Balkan Mathematical Olympiad
22. ^ a b ИНФОРМАЦИОННОЕ СООБЩЕНИЕ О ЗАКЛЮЧИТЕЛЬНОМ ЭТАПЕ II ОЛИМПИАДЫ имени ЛЕОНАРДА ЭЙЛЕРА Archived 18 December 2008 at the Wayback Machine (in Russian)
23. ^ International competitions in 2010. (in Serbian)
24. ^ Олимпиада имени Леонарда Эйлера 2009–10 года (in Russian)
25. ^ Екипа МГ прва (in Serbian)
26. ^ ":: 2012 (Мат.Многоборье-5)". Archived from the original on 17 April 2013.
27. ^ Winners of Club 27 Awards (in Serbian)
28. ^ a b c d e News Archive Archived 22 May 2010 at the Wayback Machine (in Serbian)
29. ^ a b c List of MGB Alumni Archived 28 January 2011 at the Wayback Machine, with divisions, departments, and graduation dates.
30. ^ "PC" Magazine "about" page in English, "PC Press" Publishing House, with divisions, departments, and graduation dates.
31. ^ a b c d e f Mathematical Grammar School, Annual Plan, 2010/2011[permanent dead link]. PDF document.(in Serbian)
32. ^ Serbian Patriarch hosted MGB students Archived 27 August 2016 at the Wayback Machine (in Serbian)
33. ^ Speech of Serbian Patriarch Irinej[permanent dead link] to students of Mathematical Grammar School. MP3 (audio) file. (in Serbian)
34. ^ Посета директора фонда Cambridge (in Serbian)
35. ^ "МГ ТВ | Сајт".
36. ^ Mathematical Gymnasium Belgrade, Annual Report[permanent dead link], page 3 of 76. PDF document.(in Serbian)

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Gymnasiums in Serbia

Public|

| Belgrade|

* Zemun Gymnasium
* First Belgrade Gymnasium
* Ninth Belgrade Gymnasium
* Mathematical Grammar School
* Belgrade Sports Gymnasium

|

Novi Sad|

* Jovan Jovanović Zmaj Gymnasium
* Svetozar Marković Gymnasium
* Isidora Sekulić Gymnasium
* Laza Kostić Gymnasium

Vojvodina|

* Ján Kollár Gymnasium and Students' Home
* Karlovci Gymnasium
* Uroš Predić Gymnasium
* Sombor Gymnasium
* Sremska Mitrovica Gymnasium
* Subotica Gymnasium
* Zrenjanin Gymnasium

Central Serbia|

* First Kragujevac Gymnasium
* Požarevac Gymnasium
* Smederevo Gymnasium
* Užice Gymnasium
* Valjevo Gymnasium

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