Difference between revisions of "IMO Problems and Solutions"

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== 1968 ==
 
== 1968 ==
  
* [[1968 IMO]] (in USSR)
+
* [[1968 IMO]] (in Russia)
 
* [[1968 IMO Problems/Problem 1 | Problem 1]] proposed by Unknown Author, Romania (taken from a Romanian problem book)
 
* [[1968 IMO Problems/Problem 1 | Problem 1]] proposed by Unknown Author, Romania (taken from a Romanian problem book)
 
* [[1968 IMO Problems/Problem 2 | Problem 2]] proposed by Czechoslovakia
 
* [[1968 IMO Problems/Problem 2 | Problem 2]] proposed by Czechoslovakia
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== 1979 ==
 
== 1979 ==
  
* [[1979 IMO]] (in United Kingdom)
+
* [[1979 IMO]] (in the United Kingdom)
 
* [[1979 IMO Problems/Problem 1 | Problem 1]] proposed by Arthur Engel, West Germany
 
* [[1979 IMO Problems/Problem 1 | Problem 1]] proposed by Arthur Engel, West Germany
 
* [[1979 IMO Problems/Problem 2 | Problem 2]] proposed by Nickolay Khadzhiivanov and Nedjalko Nenov, Bulgaria
 
* [[1979 IMO Problems/Problem 2 | Problem 2]] proposed by Nickolay Khadzhiivanov and Nedjalko Nenov, Bulgaria
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* [[1998 IMO]] (in Taiwan)
 
* [[1998 IMO]] (in Taiwan)
* [[1998 IMO Problems/Problem 1 | Problem 1]] proposed by Charles Leytem, Luxembourg
+
* [[1998 IMO Problems/Problem 1 | Problem 1 (G1)]] proposed by Charles Leytem, Luxembourg
* [[1998 IMO Problems/Problem 2 | Problem 2]] proposed by Ravi B. Bapat, India
+
* [[1998 IMO Problems/Problem 2 | Problem 2 (C5)]] proposed by Ravi B. Bapat, India
* [[1998 IMO Problems/Problem 3 | Problem 3]] proposed by Igor Voronovich, Belarus
+
* [[1998 IMO Problems/Problem 3 | Problem 3 (N6)]] proposed by Igor Voronovich, Belarus
* [[1998 IMO Problems/Problem 4 | Problem 4]] proposed by David Monk, United Kingdom
+
* [[1998 IMO Problems/Problem 4 | Problem 4 (N1)]] proposed by David Monk, United Kingdom
* [[1998 IMO Problems/Problem 5 | Problem 5]] proposed by Vyacheslav Yasinsky, Ukraine
+
* [[1998 IMO Problems/Problem 5 | Problem 5 (G3)]] proposed by Vyacheslav Yasinsky, Ukraine
* [[1998 IMO Problems/Problem 6 | Problem 6]] proposed by Oleg Mushkarov and Nikolai Nikolov, Bulgaria
+
* [[1998 IMO Problems/Problem 6 | Problem 6 (A5)]] proposed by Oleg Mushkarov and Nikolai Nikolov, Bulgaria
  
 
== 1999 ==
 
== 1999 ==
  
 
* [[1999 IMO]] (in Romania)
 
* [[1999 IMO]] (in Romania)
* [[1999 IMO Problems/Problem 1 | Problem 1]] proposed by Jan Willemson, Estonia
+
* [[1999 IMO Problems/Problem 1 | Problem 1 (G3)]] proposed by Jan Willemson, Estonia
* [[1999 IMO Problems/Problem 2 | Problem 2]] proposed by Marcin Kuczma, Poland
+
* [[1999 IMO Problems/Problem 2 | Problem 2 (A1)]] proposed by Marcin Kuczma, Poland
* [[1999 IMO Problems/Problem 3 | Problem 3]] proposed by Eugenii Barabanov and Igor Voronovich, Belarus
+
* [[1999 IMO Problems/Problem 3 | Problem 3 (C5)]] proposed by Eugenii Barabanov and Igor Voronovich, Belarus
* [[1999 IMO Problems/Problem 4 | Problem 4]] proposed by Liang-Ju Chu, Taiwan
+
* [[1999 IMO Problems/Problem 4 | Problem 4 (N1)]] proposed by Liang-Ju Chu, Taiwan
* [[1999 IMO Problems/Problem 5 | Problem 5]] proposed by Pavel Kozhevnikov, Russia
+
* [[1999 IMO Problems/Problem 5 | Problem 5 (G6)]] proposed by Pavel Kozhevnikov, Russia
* [[1999 IMO Problems/Problem 6 | Problem 6]] proposed by Tetsuya Ando, Japan
+
* [[1999 IMO Problems/Problem 6 | Problem 6 (A5)]] proposed by Tetsuya Ando, Japan
  
 
== 2000 ==
 
== 2000 ==
  
 
* [[2000 IMO]] (in South-Korea)
 
* [[2000 IMO]] (in South-Korea)
* [[2000 IMO Problems/Problem 1 | Problem 1]] proposed by Sergei Berlov, Russia
+
* [[2000 IMO Problems/Problem 1 | Problem 1 (G2)]] proposed by Sergei Berlov, Russia
* [[2000 IMO Problems/Problem 2 | Problem 2]] proposed by Titu Andreescu, USA
+
* [[2000 IMO Problems/Problem 2 | Problem 2 (A1)]] proposed by Titu Andreescu, USA
* [[2000 IMO Problems/Problem 3 | Problem 3]] proposed by Sergei Shikh and Igor Voronovich, Belarus
+
* [[2000 IMO Problems/Problem 3 | Problem 3 (A5)]] proposed by Sergei Shikh and Igor Voronovich, Belarus
* [[2000 IMO Problems/Problem 4 | Problem 4]] proposed by Sándor Dobos, Hungary
+
* [[2000 IMO Problems/Problem 4 | Problem 4 (C1)]] proposed by Sándor Dobos, Hungary
* [[2000 IMO Problems/Problem 5 | Problem 5]] proposed by Valerii Senderov, Russia
+
* [[2000 IMO Problems/Problem 5 | Problem 5 (N3)]] proposed by Valerii Senderov, Russia
* [[2000 IMO Problems/Problem 6 | Problem 6]] proposed by Lev and Tatiana Emelianovii, Russia
+
* [[2000 IMO Problems/Problem 6 | Problem 6 (G8)]] proposed by Lev and Tatiana Emelianovii, Russia
  
 
== 2001 ==
 
== 2001 ==
  
 
* [[2001 IMO]] (in USA)
 
* [[2001 IMO]] (in USA)
* [[2001 IMO Problems/Problem 1 | Problem 1]] proposed by Hojoo Lee, South Korea
+
* [[2001 IMO Problems/Problem 1 | Problem 1 (G2)]] proposed by Hojoo Lee, South Korea
* [[2001 IMO Problems/Problem 2 | Problem 2]] proposed by Hojoo Lee, South Korea
+
* [[2001 IMO Problems/Problem 2 | Problem 2 (A6)]] proposed by Hojoo Lee, South Korea
* [[2001 IMO Problems/Problem 3 | Problem 3]] proposed by Christian Bey, Germany
+
* [[2001 IMO Problems/Problem 3 | Problem 3 (C8)]] proposed by Christian Bey, Germany
* [[2001 IMO Problems/Problem 4 | Problem 4]] proposed by Bill Sands, Canada
+
* [[2001 IMO Problems/Problem 4 | Problem 4 (C2)]] proposed by Bill Sands, Canada
* [[2001 IMO Problems/Problem 5 | Problem 5]] proposed by Shay Gueron, Israel. (Also: Problem 2501 in Crux Mathematicorum, February 2000)
+
* [[2001 IMO Problems/Problem 5 | Problem 5 (G8)]] proposed by Shay Gueron, Israel. (Also: Problem 2501 in Crux Mathematicorum, February 2000)
* [[2001 IMO Problems/Problem 6 | Problem 6]] proposed by Aleksander Ivanov, Bulgaria
+
* [[2001 IMO Problems/Problem 6 | Problem 6 (N5)]] proposed by Aleksander Ivanov, Bulgaria
  
 
== 2002 ==
 
== 2002 ==
  
* [[2002 IMO]] (in United Kingdom)
+
* [[2002 IMO]] (in the United Kingdom)
* [[2002 IMO Problems/Problem 1 | Problem 1]] proposed by Federico Ardila, Colombia
+
* [[2002 IMO Problems/Problem 1 | Problem 1 (C1)]] proposed by Federico Ardila, Colombia
* [[2002 IMO Problems/Problem 2 | Problem 2]] proposed by Hojoo Lee, South Korea
+
* [[2002 IMO Problems/Problem 2 | Problem 2 (G3)]] proposed by Hojoo Lee, South Korea
* [[2002 IMO Problems/Problem 3 | Problem 3]] proposed by Laurentiu Panaitopol, Romania
+
* [[2002 IMO Problems/Problem 3 | Problem 3 (N6)]] proposed by Laurentiu Panaitopol, Romania
* [[2002 IMO Problems/Problem 4 | Problem 4]] proposed by Mihai Manea, Romania
+
* [[2002 IMO Problems/Problem 4 | Problem 4 (N2)]] proposed by Mihai Manea, Romania
* [[2002 IMO Problems/Problem 5 | Problem 5]] proposed by Belur Jana Venkatachala, India
+
* [[2002 IMO Problems/Problem 5 | Problem 5 (A4)]] proposed by Belur Jana Venkatachala, India
* [[2002 IMO Problems/Problem 6 | Problem 6]] proposed by Vyacheslav Yasinsky, Ukraine
+
* [[2002 IMO Problems/Problem 6 | Problem 6 (G6)]] proposed by Vyacheslav Yasinsky, Ukraine
  
 
== 2003 ==
 
== 2003 ==
  
 
* [[2003 IMO]] (in Japan)
 
* [[2003 IMO]] (in Japan)
* [[2003 IMO Problems/Problem 1 | Problem 1]] proposed by Carlos Gustavo Moreira, Brazil
+
* [[2003 IMO Problems/Problem 1 | Problem 1 (C1)]] proposed by Carlos Gustavo Moreira, Brazil
* [[2003 IMO Problems/Problem 2 | Problem 2]] proposed by Aleksander Ivanov, Bulgaria
+
* [[2003 IMO Problems/Problem 2 | Problem 2 (N3)]] proposed by Aleksander Ivanov, Bulgaria
* [[2003 IMO Problems/Problem 3 | Problem 3]] proposed by Waldemar Pompe, Poland
+
* [[2003 IMO Problems/Problem 3 | Problem 3 (G6)]] proposed by Waldemar Pompe, Poland
* [[2003 IMO Problems/Problem 4 | Problem 4]] proposed by Matti Lehtinen, Finland
+
* [[2003 IMO Problems/Problem 4 | Problem 4 (G1)]] proposed by Matti Lehtinen, Finland
* [[2003 IMO Problems/Problem 5 | Problem 5]] proposed by Finbarr Holland, Ireland
+
* [[2003 IMO Problems/Problem 5 | Problem 5 (A4)]] proposed by Finbarr Holland, Ireland
* [[2003 IMO Problems/Problem 6 | Problem 6]] proposed by Johan Yebbou, France
+
* [[2003 IMO Problems/Problem 6 | Problem 6 (N6)]] proposed by Johan Yebbou, France
  
 
== 2004 ==
 
== 2004 ==
  
 
* [[2004 IMO]] (in Greece)
 
* [[2004 IMO]] (in Greece)
* [[2004 IMO Problems/Problem 1 | Problem 1]] proposed by  Dinu Serbanescu and Valentin Vornicu, Romania
+
* [[2004 IMO Problems/Problem 1 | Problem 1 (G1)]] proposed by  Dinu Serbanescu and Valentin Vornicu, Romania
* [[2004 IMO Problems/Problem 2 | Problem 2]] proposed by Hojoo Lee, South Korea
+
* [[2004 IMO Problems/Problem 2 | Problem 2 (A4)]] proposed by Hojoo Lee, South Korea
* [[2004 IMO Problems/Problem 3 | Problem 3]] proposed by Jan Willemson, Estonia
+
* [[2004 IMO Problems/Problem 3 | Problem 3 (C7)]] proposed by Jan Willemson, Estonia
* [[2004 IMO Problems/Problem 4 | Problem 4]] proposed by Hojoo Lee, South Korea
+
* [[2004 IMO Problems/Problem 4 | Problem 4 (A1)]] proposed by Hojoo Lee, South Korea
* [[2004 IMO Problems/Problem 5 | Problem 5]] proposed by Waldemar Pompe, Poland
+
* [[2004 IMO Problems/Problem 5 | Problem 5 (G4)]] proposed by Waldemar Pompe, Poland
* [[2004 IMO Problems/Problem 6 | Problem 6]] proposed by Mohsen Jamaali and Armin Morabbi, Iran
+
* [[2004 IMO Problems/Problem 6 | Problem 6 (N5)]] proposed by Mohsen Jamaali and Armin Morabbi, Iran
  
 
== 2005 ==
 
== 2005 ==
  
 
* [[2005 IMO]] (in Mexico)
 
* [[2005 IMO]] (in Mexico)
* [[2005 IMO Problems/Problem 1 | Problem 1]] proposed by Bogdan Enescu, Romania
+
* [[2005 IMO Problems/Problem 1 | Problem 1 (G2)]] proposed by Bogdan Enescu, Romania
* [[2005 IMO Problems/Problem 2 | Problem 2]] proposed by Nicholas de Bruijn, Netherlands
+
* [[2005 IMO Problems/Problem 2 | Problem 2 (N2)]] proposed by Nicholas de Bruijn, Netherlands
* [[2005 IMO Problems/Problem 3 | Problem 3]] proposed by Hojoo Lee, South Korea
+
* [[2005 IMO Problems/Problem 3 | Problem 3 (A5)]] proposed by Hojoo Lee, South Korea
* [[2005 IMO Problems/Problem 4 | Problem 4]] proposed by Mariusz Skalba, Poland
+
* [[2005 IMO Problems/Problem 4 | Problem 4 (N1)]] proposed by Mariusz Skalba, Poland
* [[2005 IMO Problems/Problem 5 | Problem 5]] proposed by Waldemar Pompe, Poland
+
* [[2005 IMO Problems/Problem 5 | Problem 5 (G4)]] proposed by Waldemar Pompe, Poland
* [[2005 IMO Problems/Problem 6 | Problem 6]] proposed by Radu Gologan and Dan Schwarz, Romania
+
* [[2005 IMO Problems/Problem 6 | Problem 6 (C6)]] proposed by Radu Gologan and Dan Schwarz, Romania
  
 
== 2006 ==
 
== 2006 ==
  
 
* [[2006 IMO]] (in Slovenia)
 
* [[2006 IMO]] (in Slovenia)
* [[2006 IMO Problems/Problem 1 | Problem 1]] proposed by Hojoo Lee, South Korea
+
* [[2006 IMO Problems/Problem 1 | Problem 1 (G1)]] proposed by Hojoo Lee, South Korea
* [[2006 IMO Problems/Problem 2 | Problem 2]] proposed by Dušan Djukić, Serbia
+
* [[2006 IMO Problems/Problem 2 | Problem 2 (C2)]] proposed by Dušan Djukić, Serbia
* [[2006 IMO Problems/Problem 3 | Problem 3]] proposed by Finbarr Holland, Ireland
+
* [[2006 IMO Problems/Problem 3 | Problem 3 (A6)]] proposed by Finbarr Holland, Ireland
* [[2006 IMO Problems/Problem 4 | Problem 4]] proposed by Zuming Feng, USA
+
* [[2006 IMO Problems/Problem 4 | Problem 4 (N1)]] proposed by Zuming Feng, USA
* [[2006 IMO Problems/Problem 5 | Problem 5]] proposed by Dan Schwarz, Romania
+
* [[2006 IMO Problems/Problem 5 | Problem 5 (N4)]] proposed by Dan Schwarz, Romania
* [[2006 IMO Problems/Problem 6 | Problem 6]] proposed by Dušan Djukić, Serbia
+
* [[2006 IMO Problems/Problem 6 | Problem 6 (G10)]] proposed by Dušan Djukić, Serbia
  
 
== 2007 ==
 
== 2007 ==
  
 
* [[2007 IMO]] (in Vietnam)
 
* [[2007 IMO]] (in Vietnam)
* [[2007 IMO Problems/Problem 1 | Problem 1]] proposed by Michael Albert, New Zealand
+
* [[2007 IMO Problems/Problem 1 | Problem 1 (A1)]] proposed by Michael Albert, New Zealand
* [[2007 IMO Problems/Problem 2 | Problem 2]] proposed by Charles Leytem, Luxembourg
+
* [[2007 IMO Problems/Problem 2 | Problem 2 (G4)]] proposed by Charles Leytem, Luxembourg
* [[2007 IMO Problems/Problem 3 | Problem 3]] proposed by Vasily Astakhov, Russia
+
* [[2007 IMO Problems/Problem 3 | Problem 3 (C6)]] proposed by Vasily Astakhov, Russia
* [[2007 IMO Problems/Problem 4 | Problem 4]] proposed by Marek Pechal, Czech Republic
+
* [[2007 IMO Problems/Problem 4 | Problem 4 (G1)]] proposed by Marek Pechal, Czech Republic
* [[2007 IMO Problems/Problem 5 | Problem 5]] proposed by Kevin Buzzard and Edward Crane, United Kingdom
+
* [[2007 IMO Problems/Problem 5 | Problem 5 (N6)]] proposed by Kevin Buzzard and Edward Crane, United Kingdom
* [[2007 IMO Problems/Problem 6 | Problem 6]] proposed by Gerhard Woeginger, Netherlands
+
* [[2007 IMO Problems/Problem 6 | Problem 6 (A7)]] proposed by Gerhard Woeginger, Netherlands
  
 
== 2008 ==
 
== 2008 ==
  
 
* [[2008 IMO]] (in Spain)
 
* [[2008 IMO]] (in Spain)
* [[2008 IMO Problems/Problem 1 | Problem 1]] proposed by Andrey Gavrilyuk, Russia  
+
* [[2008 IMO Problems/Problem 1 | Problem 1 (G1)]] proposed by Andrey Gavrilyuk, Russia  
* [[2008 IMO Problems/Problem 2 | Problem 2]] proposed by Walther Janous, Austria  
+
* [[2008 IMO Problems/Problem 2 | Problem 2 (A2)]] proposed by Walther Janous, Austria  
* [[2008 IMO Problems/Problem 3 | Problem 3]] proposed by Kęstutis Česnavičius, Lithuania
+
* [[2008 IMO Problems/Problem 3 | Problem 3 (N6)]] proposed by Kęstutis Česnavičius, Lithuania
* [[2008 IMO Problems/Problem 4 | Problem 4]] proposed by Hojoo Lee, South Korea  
+
* [[2008 IMO Problems/Problem 4 | Problem 4 (A1)]] proposed by Hojoo Lee, South Korea  
* [[2008 IMO Problems/Problem 5 | Problem 5]] proposed by Bruno Le Floch and Ilia Smilga, France
+
* [[2008 IMO Problems/Problem 5 | Problem 5 (C4)]] proposed by Bruno Le Floch and Ilia Smilga, France
* [[2008 IMO Problems/Problem 6 | Problem 6]] proposed by Vladimir Shmarov, Russia
+
* [[2008 IMO Problems/Problem 6 | Problem 6 (G7)]] proposed by Vladimir Shmarov, Russia
  
 
== 2009 ==
 
== 2009 ==
  
 
* [[2009 IMO]] (in Germany)
 
* [[2009 IMO]] (in Germany)
* [[2009 IMO Problems/Problem 1 | Problem 1]] proposed by Ross Atkins, Australia  
+
* [[2009 IMO Problems/Problem 1 | Problem 1 (N1)]] proposed by Ross Atkins, Australia  
* [[2009 IMO Problems/Problem 2 | Problem 2]] proposed by Sergei Berlov, Russia  
+
* [[2009 IMO Problems/Problem 2 | Problem 2 (G2)]] proposed by Sergei Berlov, Russia  
* [[2009 IMO Problems/Problem 3 | Problem 3]] proposed by Gabriel Carroll, USA
+
* [[2009 IMO Problems/Problem 3 | Problem 3 (A6)]] proposed by Gabriel Carroll, USA
* [[2009 IMO Problems/Problem 4 | Problem 4]] proposed by Hojoo Lee, Peter Vandendriessche and Jan Vonk, Belgium
+
* [[2009 IMO Problems/Problem 4 | Problem 4 (G1)]] proposed by Hojoo Lee, Peter Vandendriessche and Jan Vonk, Belgium
* [[2009 IMO Problems/Problem 5 | Problem 5]] proposed by Bruno Le Floch, France
+
* [[2009 IMO Problems/Problem 5 | Problem 5 (A3)]] proposed by Bruno Le Floch, France
* [[2009 IMO Problems/Problem 6 | Problem 6]] proposed by Dmitry Khramtsov, Russia
+
* [[2009 IMO Problems/Problem 6 | Problem 6 (C7)]] proposed by Dmitry Khramtsov, Russia
  
 
== 2010 ==
 
== 2010 ==
  
 
* [[2010 IMO]] (in Kazakhstan)
 
* [[2010 IMO]] (in Kazakhstan)
* [[2010 IMO Problems/Problem 1 | Problem 1]] proposed by Pierre Bornsztein, France  
+
* [[2010 IMO Problems/Problem 1 | Problem 1 (A1)]] proposed by Pierre Bornsztein, France  
* [[2010 IMO Problems/Problem 2 | Problem 2]] proposed by Tai Wai Ming and Wang Chongli, Hong Kong  
+
* [[2010 IMO Problems/Problem 2 | Problem 2 (G4)]] proposed by Tai Wai Ming and Wang Chongli, Hong Kong  
* [[2010 IMO Problems/Problem 3 | Problem 3]] proposed by Gabriel Carroll, USA  
+
* [[2010 IMO Problems/Problem 3 | Problem 3 (N5)]] proposed by Gabriel Carroll, USA  
* [[2010 IMO Problems/Problem 4 | Problem 4]] proposed by Marcin Kuczma, Poland
+
* [[2010 IMO Problems/Problem 4 | Problem 4 (G2)]] proposed by Marcin Kuczma, Poland
* [[2010 IMO Problems/Problem 5 | Problem 5]] proposed by Hans Zantema, Netherlands
+
* [[2010 IMO Problems/Problem 5 | Problem 5 (C4)]] proposed by Hans Zantema, Netherlands
* [[2010 IMO Problems/Problem 6 | Problem 6]] proposed by Morteza Saghafiyan, Iran
+
* [[2010 IMO Problems/Problem 6 | Problem 6 (A7)]] proposed by Morteza Saghafiyan, Iran, Answer by Aadi
  
 
== 2011 ==
 
== 2011 ==
  
 
* [[2011 IMO]] (in the Netherlands)
 
* [[2011 IMO]] (in the Netherlands)
* [[2011 IMO Problems/Problem 1 | Problem 1]] proposed by Fernando Campos, Mexico
+
* [[2011 IMO Problems/Problem 1 | Problem 1 (A1)]] proposed by Fernando Campos, Mexico
* [[2011 IMO Problems/Problem 2 | Problem 2]] proposed by Geoff Smith, United Kingdom
+
* [[2011 IMO Problems/Problem 2 | Problem 2 (C3)]] proposed by Geoff Smith, United Kingdom
* [[2011 IMO Problems/Problem 3 | Problem 3]] proposed by Igor Voronovich, Belarus
+
* [[2011 IMO Problems/Problem 3 | Problem 3 (A6)]] proposed by Igor Voronovich, Belarus
* [[2011 IMO Problems/Problem 4 | Problem 4]] proposed by Morteza Saghafiyan, Iran
+
* [[2011 IMO Problems/Problem 4 | Problem 4 (C1)]] proposed by Morteza Saghafiyan, Iran
* [[2011 IMO Problems/Problem 5 | Problem 5]] proposed by Seyedmahyar Sefidgaran, Iran
+
* [[2011 IMO Problems/Problem 5 | Problem 5 (N5)]] proposed by Seyedmahyar Sefidgaran, Iran
* [[2011 IMO Problems/Problem 6 | Problem 6]] proposed by Japanese PSC, Japan
+
* [[2011 IMO Problems/Problem 6 | Problem 6 (G8)]] proposed by Japanese PSC, Japan
  
 
== 2012 ==
 
== 2012 ==
  
 
* [[2012 IMO]] (in Argentina)
 
* [[2012 IMO]] (in Argentina)
* [[2012 IMO Problems/Problem 1 | Problem 1]] proposed by Evangelos Psychas, Greece
+
* [[2012 IMO Problems/Problem 1 | Problem 1 (G1)]] proposed by Evangelos Psychas, Greece
* [[2012 IMO Problems/Problem 2 | Problem 2]] proposed by Angelo di Pasquale, Australia
+
* [[2012 IMO Problems/Problem 2 | Problem 2 (A3)]] proposed by Angelo di Pasquale, Australia
* [[2012 IMO Problems/Problem 3 | Problem 3]] proposed by David Arthur, Canada
+
* [[2012 IMO Problems/Problem 3 | Problem 3 (C6)]] proposed by David Arthur, Canada
* [[2012 IMO Problems/Problem 4 | Problem 4]] proposed by Liam Baker, South Africa
+
* [[2012 IMO Problems/Problem 4 | Problem 4 (A1)]] proposed by Liam Baker, South Africa
* [[2012 IMO Problems/Problem 5 | Problem 5]] proposed by Josef Tkadlec, Czech Republic  
+
* [[2012 IMO Problems/Problem 5 | Problem 5 (G5)]] proposed by Josef Tkadlec, Czech Republic  
* [[2012 IMO Problems/Problem 6 | Problem 6]] proposed by Dušan Djukić, Serbia
+
* [[2012 IMO Problems/Problem 6 | Problem 6 (N7)]] proposed by Dušan Djukić, Serbia
  
 
== 2013 ==
 
== 2013 ==
  
 
* [[2013 IMO]] (in Colombia)
 
* [[2013 IMO]] (in Colombia)
* [[2013 IMO Problems/Problem 1 | Problem 1]] proposed by Japanese PSC, Japan
+
* [[2013 IMO Problems/Problem 1 | Problem 1 (N2)]] proposed by Japanese PSC, Japan
* [[2013 IMO Problems/Problem 2 | Problem 2]] proposed by Ivan Guo, Australia
+
* [[2013 IMO Problems/Problem 2 | Problem 2 (C2)]] proposed by Ivan Guo, Australia
* [[2013 IMO Problems/Problem 3 | Problem 3]] proposed by Alexander A. Polyansky, Russia
+
* [[2013 IMO Problems/Problem 3 | Problem 3 (G6)]] proposed by Alexander A. Polyansky, Russia
* [[2013 IMO Problems/Problem 4 | Problem 4]] proposed by Warut Suksompong and Potcharapol Suteparuk, Thailand
+
* [[2013 IMO Problems/Problem 4 | Problem 4 (G1)]] proposed by Warut Suksompong and Potcharapol Suteparuk, Thailand
* [[2013 IMO Problems/Problem 5 | Problem 5]] proposed by Nikolai Nikolov, Bulgaria  
+
* [[2013 IMO Problems/Problem 5 | Problem 5 (A3)]] proposed by Nikolai Nikolov, Bulgaria  
* [[2013 IMO Problems/Problem 6 | Problem 6]] proposed by Alexander S. Golovanov and Mikhail A. Ivanov, Russia
+
* [[2013 IMO Problems/Problem 6 | Problem 6 (C7)]] proposed by Alexander S. Golovanov and Mikhail A. Ivanov, Russia
  
 
== 2014 ==
 
== 2014 ==
  
 
* [[2014 IMO]] (in South Africa)
 
* [[2014 IMO]] (in South Africa)
* [[2014 IMO Problems/Problem 1 | Problem 1]] proposed by Gerhard Woeginger, Austria
+
* [[2014 IMO Problems/Problem 1 | Problem 1 (A1)]] proposed by Gerhard Woeginger, Austria
* [[2014 IMO Problems/Problem 2 | Problem 2]] proposed by Tonči Kokan, Croatia
+
* [[2014 IMO Problems/Problem 2 | Problem 2 (C3)]] proposed by Tonči Kokan, Croatia
* [[2014 IMO Problems/Problem 3 | Problem 3]] proposed by Ali Zamani, Iran
+
* [[2014 IMO Problems/Problem 3 | Problem 3 (G5)]] proposed by Ali Zamani, Iran
* [[2014 IMO Problems/Problem 4 | Problem 4]] proposed by Giorgi Arabidze, Georgia
+
* [[2014 IMO Problems/Problem 4 | Problem 4 (G1)]] proposed by Giorgi Arabidze, Georgia
* [[2014 IMO Problems/Problem 5 | Problem 5]] proposed by Gerhard Woeginger, Luxembourg
+
* [[2014 IMO Problems/Problem 5 | Problem 5 (N3)]] proposed by Gerhard Woeginger, Luxembourg
* [[2014 IMO Problems/Problem 6 | Problem 6]] proposed by Gerhard Woeginger, Austria
+
* [[2014 IMO Problems/Problem 6 | Problem 6 (C5)]] proposed by Gerhard Woeginger, Austria
  
 
== 2015 ==
 
== 2015 ==
  
 
* [[2015 IMO]] (in Thailand)
 
* [[2015 IMO]] (in Thailand)
* [[2015 IMO Problems/Problem 1 | Problem 1]] proposed by Merlijn Staps, Netherlands
+
* [[2015 IMO Problems/Problem 1 | Problem 1 (C2)]] proposed by Merlijn Staps, Netherlands
* [[2015 IMO Problems/Problem 2 | Problem 2]] proposed by Dušan Djukić, Serbia
+
* [[2015 IMO Problems/Problem 2 | Problem 2 (N5)]] proposed by Dušan Djukić, Serbia
* [[2015 IMO Problems/Problem 3 | Problem 3]] proposed by Danylo Khilko and Mykhailo Plotnikov, Ukraine
+
* [[2015 IMO Problems/Problem 3 | Problem 3 (G6)]] proposed by Danylo Khilko and Mykhailo Plotnikov, Ukraine
* [[2015 IMO Problems/Problem 4 | Problem 4]] proposed by Silouanos Brazitikos and Evangelos Psychas, Greece
+
* [[2015 IMO Problems/Problem 4 | Problem 4 (G2)]] proposed by Silouanos Brazitikos and Evangelos Psychas, Greece
* [[2015 IMO Problems/Problem 5 | Problem 5]] proposed by Dorlir Ahmeti, Albania
+
* [[2015 IMO Problems/Problem 5 | Problem 5 (A4)]] proposed by Dorlir Ahmeti, Albania
* [[2015 IMO Problems/Problem 6 | Problem 6]] proposed by Ross Atkins and Ivan Guo, Australia
+
* [[2015 IMO Problems/Problem 6 | Problem 6 (C5)]] proposed by Ross Atkins and Ivan Guo, Australia
  
 
== 2016 ==
 
== 2016 ==
  
 
* [[2016 IMO]] (in Hong Kong)
 
* [[2016 IMO]] (in Hong Kong)
* [[2016 IMO Problems/Problem 1 | Problem 1]] proposed by Art Waeterschoot, Belgium
+
* [[2016 IMO Problems/Problem 1 | Problem 1 (G1)]] proposed by Art Waeterschoot, Belgium
* [[2016 IMO Problems/Problem 2 | Problem 2]] proposed by Trevor Tao, Australia
+
* [[2016 IMO Problems/Problem 2 | Problem 2 (C4)]] proposed by Trevor Tao, Australia
* [[2016 IMO Problems/Problem 3 | Problem 3]] proposed by Aleksandr Gaifullin, Russia
+
* [[2016 IMO Problems/Problem 3 | Problem 3 (N7)]] proposed by Aleksandr Gaifullin, Russia
* [[2016 IMO Problems/Problem 4 | Problem 4]] proposed by Gerhard Woeginger, Luxembourg
+
* [[2016 IMO Problems/Problem 4 | Problem 4 (N3)]] proposed by Gerhard Woeginger, Luxembourg
* [[2016 IMO Problems/Problem 5 | Problem 5]] proposed by Nazar Agakhanov and Ilya Bogdanov, Russia
+
* [[2016 IMO Problems/Problem 5 | Problem 5 (A6)]] proposed by Nazar Agakhanov and Ilya Bogdanov, Russia
* [[2016 IMO Problems/Problem 6 | Problem 6]] proposed by Josef Tkadlec, Czech Republic
+
* [[2016 IMO Problems/Problem 6 | Problem 6 (C7)]] proposed by Josef Tkadlec, Czech Republic
  
 
== 2017 ==
 
== 2017 ==
  
 
* [[2017 IMO]] (in Brazil)
 
* [[2017 IMO]] (in Brazil)
* [[2017 IMO Problems/Problem 1 | Problem 1]] proposed by Stephan Wagner, South Africa
+
* [[2017 IMO Problems/Problem 1 | Problem 1 (N1)]] proposed by Stephan Wagner, South Africa
* [[2017 IMO Problems/Problem 2 | Problem 2]] proposed by Dorlir Ahmeti, Albania
+
* [[2017 IMO Problems/Problem 2 | Problem 2 (A6)]] proposed by Dorlir Ahmeti, Albania
* [[2017 IMO Problems/Problem 3 | Problem 3]] proposed by Gerhard Woeginger, Austria
+
* [[2017 IMO Problems/Problem 3 | Problem 3 (C5)]] proposed by Gerhard Woeginger, Austria
* [[2017 IMO Problems/Problem 4 | Problem 4]] proposed by Charles Leytem, Luxembourg
+
* [[2017 IMO Problems/Problem 4 | Problem 4 (G2)]] proposed by Charles Leytem, Luxembourg
* [[2017 IMO Problems/Problem 5 | Problem 5]] proposed by Grigory Chelnokov, Russia
+
* [[2017 IMO Problems/Problem 5 | Problem 5 (C4)]] proposed by Grigory Chelnokov, Russia
* [[2017 IMO Problems/Problem 6 | Problem 6]] proposed by John Berman, USA
+
* [[2017 IMO Problems/Problem 6 | Problem 6 (N7)]] proposed by John Berman, USA
  
 
== 2018 ==
 
== 2018 ==
  
 
* [[2018 IMO]] (in Romania)
 
* [[2018 IMO]] (in Romania)
* [[2018 IMO Problems/Problem 1 | Problem 1]] proposed by Silouanos Brazitikos, Evangelos Psychas and Michael Sarantis, Greece
+
* [[2018 IMO Problems/Problem 1 | Problem 1 (G1)]] proposed by Silouanos Brazitikos, Evangelos Psychas and Michael Sarantis, Greece
* [[2018 IMO Problems/Problem 2 | Problem 2]] proposed by Patrik Bak, Slovakia
+
* [[2018 IMO Problems/Problem 2 | Problem 2 (A2)]] proposed by Patrik Bak, Slovakia
* [[2018 IMO Problems/Problem 3 | Problem 3]] proposed by Morteza Saghafian, Iran
+
* [[2018 IMO Problems/Problem 3 | Problem 3 (C4)]] proposed by Morteza Saghafian, Iran
* [[2018 IMO Problems/Problem 4 | Problem 4]] proposed by Armenia
+
* [[2018 IMO Problems/Problem 4 | Problem 4 (C2)]] proposed by Gurgen Asatryan, Armenia
* [[2018 IMO Problems/Problem 5 | Problem 5]] proposed by Mongolia
+
* [[2018 IMO Problems/Problem 5 | Problem 5 (N4)]] proposed by Bayarmagnai Gombodorj, Mongolia
* [[2018 IMO Problems/Problem 6 | Problem 6]] proposed by Tomasz Ciesla, Poland
+
* [[2018 IMO Problems/Problem 6 | Problem 6 (G6)]] proposed by Tomasz Ciesla, Poland
  
 
== 2019 ==
 
== 2019 ==
  
* [[2019 IMO]] (in England)
+
* [[2019 IMO]] (in the United Kingdom)
* [[2019 IMO Problems/Problem 1 | Problem 1]] proposed by  
+
* [[2019 IMO Problems/Problem 1 | Problem 1 (A1)]] proposed by Liam Baker, South Africa
* [[2019 IMO Problems/Problem 2 | Problem 2]] proposed by Anton Trygub, Ukraine
+
* [[2019 IMO Problems/Problem 2 | Problem 2 (G3)]] proposed by Anton Trygub, Ukraine
* [[2019 IMO Problems/Problem 3 | Problem 3]] proposed by Adrian Beker, Croatia  
+
* [[2019 IMO Problems/Problem 3 | Problem 3 (C5)]] proposed by Adrian Beker, Croatia  
* [[2019 IMO Problems/Problem 4 | Problem 4]] proposed by
+
* [[2019 IMO Problems/Problem 4 | Problem 4 (N1)]] proposed by Gabriel Chicas Reyes, El Salvador
* [[2019 IMO Problems/Problem 5 | Problem 5]] proposed by
+
* [[2019 IMO Problems/Problem 5 | Problem 5 (C3)]] proposed by David Altizio, USA
* [[2019 IMO Problems/Problem 6 | Problem 6]] proposed by Anant Mudgal, India
+
* [[2019 IMO Problems/Problem 6 | Problem 6 (G7)]] proposed by Anant Mudgal, India
 +
 
 +
== 2020 ==
 +
 
 +
* [[2020 IMO]] (in Russia / virtual)
 +
* [[2020 IMO Problems/Problem 1 | Problem 1 (G2)]] proposed by Dominik Burek, Poland
 +
* [[2020 IMO Problems/Problem 2 | Problem 2 (A4)]] proposed by Stijn Cambie, Belgium
 +
* [[2020 IMO Problems/Problem 3 | Problem 3 (C6)]] proposed by Milan Haiman and Carl Schildkraut, Hungary
 +
* [[2020 IMO Problems/Problem 4 | Problem 4 (C3)]] proposed by Tejaswi Navrinarekallu, India
 +
* [[2020 IMO Problems/Problem 5 | Problem 5 (N3)]] proposed by Oleg Košik, Estonia
 +
* [[2020 IMO Problems/Problem 6 | Problem 6 (G9)]] proposed by Ting-Feng Lin and Hung-Hsun Hans Yu, Taiwan
 +
 
 +
== 2021 ==
 +
 
 +
* [[2021 IMO]] (in Russia / virtual)
 +
* [[2021 IMO Problems/Problem 1 | Problem 1 (N2)]] proposed by Australia
 +
* [[2021 IMO Problems/Problem 2 | Problem 2 (A4)]] proposed by Calvin Deng, Canada
 +
* [[2021 IMO Problems/Problem 3 | Problem 3 (G7)]] proposed by Mykhailo Shtandenko, Ukraine
 +
* [[2021 IMO Problems/Problem 4 | Problem 4 (G2)]] proposed by Dominik Burek and Tomasz Ciesla, Poland
 +
* [[2021 IMO Problems/Problem 5 | Problem 5 (C3)]] proposed by Spain
 +
* [[2021 IMO Problems/Problem 6 | Problem 6 (A6)]] proposed by Austria
 +
 
 +
== 2022 ==
 +
 
 +
* [[2022 IMO]] (in Norway)
 +
* [[2022 IMO Problems/Problem 1 | Problem 1 (C2)]] proposed by France
 +
* [[2022 IMO Problems/Problem 2 | Problem 2 (A3)]] proposed by Netherlands
 +
* [[2022 IMO Problems/Problem 3 | Problem 3 (N7)]] proposed by USA
 +
* [[2022 IMO Problems/Problem 4 | Problem 4 (G1)]] proposed by Slovakia
 +
* [[2022 IMO Problems/Problem 5 | Problem 5 (N4)]] proposed by Belgium
 +
* [[2022 IMO Problems/Problem 6 | Problem 6 (C8)]] proposed by Serbia
 +
 
 +
== 2023 ==
 +
 
 +
* [[2023 IMO]] (in Japan)
 +
* [[2023 IMO Problems/Problem 1 | Problem 1 (N1)]] proposed by Santiago Rodriguez, Colombia
 +
* [[2023 IMO Problems/Problem 2 | Problem 2 (G4)]] proposed by Tiago Mourão and Nuno Arala, Portugal
 +
* [[2023 IMO Problems/Problem 3 | Problem 3 (A6)]] proposed by Ivan Chan, Malaysia
 +
* [[2023 IMO Problems/Problem 4 | Problem 4 (A3)]] proposed by Merlijn Staps, Netherlands
 +
* [[2023 IMO Problems/Problem 5 | Problem 5 (C3)]] proposed by Merlijn Staps and Daniël Kroes, Netherlands
 +
* [[2023 IMO Problems/Problem 6 | Problem 6 (G8)]] proposed by Ankan Bhattacharya and Luke Robitaille, USA
 +
 
 +
== 2024 ==
 +
 
 +
* [[2024 IMO]] (in UK)
 +
* [[2024 IMO Problems/Problem 1 | Problem 1]]
 +
* [[2024 IMO Problems/Problem 2 | Problem 2]]
 +
* [[2024 IMO Problems/Problem 3 | Problem 3]]
 +
* [[2024 IMO Problems/Problem 4 | Problem 4]]
 +
* [[2024 IMO Problems/Problem 5 | Problem 5]]
 +
* [[2024 IMO Problems/Problem 6 | Problem 6]]
  
 
== Comment ==
 
== Comment ==
Line 612: Line 662:
  
 
For many problems, the composers do not have the nationality of the proposing country.  
 
For many problems, the composers do not have the nationality of the proposing country.  
For instance, problem 2009/4 was proposed by Belgium, but only two of the three problem authors were Belgian, whereas the third is from South-Korea.
+
For instance, problem 2009/4 was proposed by Belgium, but only two of the three problem authors were Belgian, whereas the third is from South-Korea. Similarly, problem 2020/3 was proposed by Hungary with one Hungarian and one non-Hungarian problem author.
  
To the current moment, there is only a single IMO problem that has two distinct proposing countries: The if-part of problem 1994/2 was proposed by Australia and its only-if part by Armenia.  
+
To the current moment, there is only a single IMO problem that has two distinct proposing countries: The if-part of problem 1994/2 was proposed by Australia and its only-if part by Armenia.
  
 
== See also ==
 
== See also ==
Line 620: Line 670:
 
* [[IMO problems statistics]]  (eternal)
 
* [[IMO problems statistics]]  (eternal)
 
* [[IMO problems statistics since 2000]] (modern history)
 
* [[IMO problems statistics since 2000]] (modern history)
* [http://www.artofproblemsolving.com/Forum/resources.php?c=1&cid=16 IMO problems on the Resources page]
+
* [https://artofproblemsolving.com/community/c14_international_contests IMO problems on the Resources page]
 
* [[IMO Shortlist Problems]]
 
* [[IMO Shortlist Problems]]
 
* [[Academic Olympiads]]
 
* [[Academic Olympiads]]

Latest revision as of 20:48, 8 December 2024

This page lists the authors and the proposing countries of the problems of the IMO.

1959

1960

1961

1962

1963

1964

1965

1966

1967

1968

1969

1970

1971

1972

1973

1974

1975

1976

1977

1978

1979

  • 1979 IMO (in the United Kingdom)
  • Problem 1 proposed by Arthur Engel, West Germany
  • Problem 2 proposed by Nickolay Khadzhiivanov and Nedjalko Nenov, Bulgaria
  • Problem 3 proposed by Nikolai Vasil'ev and Igor F. Sharygin, USSR
  • Problem 4 proposed by Murray Klamkin, USA
  • Problem 5 proposed by Joe Gillis, Israel
  • Problem 6 proposed by Arthur Engel, West Germany

1980

There was no IMO in 1980

1981

1982

1983

1984

1985

1986

1987

1988

1989

1990

1991

1992

1993

1994

  • 1994 IMO (in Hong Kong)
  • Problem 1 proposed by Vincent Lafforgue, France
  • Problem 2 proposed by Hans Lausch, Australia and Garnik Tonoyan, Armenia (independently)
  • Problem 3 proposed by Gabriel Istrate, Romania
  • Problem 4 proposed by Hans Lausch, Australia
  • Problem 5 proposed by David Monk, United Kingdom
  • Problem 6 proposed by Kerkko Luosto, Finland

1995

1996

1997

  • 1997 IMO (in Argentina)
  • Problem 1 proposed by Igor Akylich and Igor Voronovich, Belarus
  • Problem 2 proposed by David Monk, United Kingdom
  • Problem 3 proposed by Oleg Bogopolsky, Russia
  • Problem 4 proposed by Ebadollah S. Mahmoodian and Mohammad Mahdian, Iran
  • Problem 5 proposed by Petr Kanovsky, Czech Republic
  • Problem 6 proposed by Giedrius Alkauskas, Lithuania

1998

1999

2000

2001

2002

2003

2004

2005

2006

2007

2008

2009

2010

2011

2012

2013

2014

2015

2016

2017

2018

2019

2020

2021

2022

2023

2024

Comment

This page lists the authors and the proposing countries of the problems of the IMO.

For many problems, the composers do not have the nationality of the proposing country. For instance, problem 2009/4 was proposed by Belgium, but only two of the three problem authors were Belgian, whereas the third is from South-Korea. Similarly, problem 2020/3 was proposed by Hungary with one Hungarian and one non-Hungarian problem author.

To the current moment, there is only a single IMO problem that has two distinct proposing countries: The if-part of problem 1994/2 was proposed by Australia and its only-if part by Armenia.

See also