Difference between revisions of "IMO Problems and Solutions"
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| Line 18: | Line 18: | ||
* [[1960 IMO Problems/Problem 1 | Problem 1]] proposed by Bulgaria | * [[1960 IMO Problems/Problem 1 | Problem 1]] proposed by Bulgaria | ||
* [[1960 IMO Problems/Problem 2 | Problem 2]] proposed by Hungary | * [[1960 IMO Problems/Problem 2 | Problem 2]] proposed by Hungary | ||
| − | * [[1960 IMO Problems/Problem 3 | Problem 3]] proposed by | + | * [[1960 IMO Problems/Problem 3 | Problem 3]] proposed by Gheorghe D. Simionescu, Romania |
* [[1960 IMO Problems/Problem 4 | Problem 4]] proposed by Hungary | * [[1960 IMO Problems/Problem 4 | Problem 4]] proposed by Hungary | ||
* [[1960 IMO Problems/Problem 5 | Problem 5]] proposed by Czechoslovakia | * [[1960 IMO Problems/Problem 5 | Problem 5]] proposed by Czechoslovakia | ||
| Line 33: | Line 33: | ||
* [[1961 IMO Problems/Problem 4 | Problem 4]] proposed by East Germany | * [[1961 IMO Problems/Problem 4 | Problem 4]] proposed by East Germany | ||
* [[1961 IMO Problems/Problem 5 | Problem 5]] proposed by Czechoslovakia | * [[1961 IMO Problems/Problem 5 | Problem 5]] proposed by Czechoslovakia | ||
| − | * [[1961 IMO Problems/Problem 6 | Problem 6]] proposed by | + | * [[1961 IMO Problems/Problem 6 | Problem 6]] proposed by Gheorghe D. Simionescu, Romania |
== 1962 == | == 1962 == | ||
| Line 66: | Line 66: | ||
* [[1964 IMO Problems/Problem 3 | Problem 3]] proposed by Yugoslavia | * [[1964 IMO Problems/Problem 3 | Problem 3]] proposed by Yugoslavia | ||
* [[1964 IMO Problems/Problem 4 | Problem 4]] proposed by Hungary | * [[1964 IMO Problems/Problem 4 | Problem 4]] proposed by Hungary | ||
| − | * [[1964 IMO Problems/Problem 5 | Problem 5]] proposed by | + | * [[1964 IMO Problems/Problem 5 | Problem 5]] proposed by Gheorghe D. Simionescu, Romania |
* [[1964 IMO Problems/Problem 6 | Problem 6]] proposed by Poland | * [[1964 IMO Problems/Problem 6 | Problem 6]] proposed by Poland | ||
| Line 77: | Line 77: | ||
* [[1965 IMO Problems/Problem 3 | Problem 3]] proposed by Czechoslovakia | * [[1965 IMO Problems/Problem 3 | Problem 3]] proposed by Czechoslovakia | ||
* [[1965 IMO Problems/Problem 4 | Problem 4]] proposed by USSR | * [[1965 IMO Problems/Problem 4 | Problem 4]] proposed by USSR | ||
| − | * [[1965 IMO Problems/Problem 5 | Problem 5]] proposed by | + | * [[1965 IMO Problems/Problem 5 | Problem 5]] proposed by Gheorghe D. Simionescu, Romania |
* [[1965 IMO Problems/Problem 6 | Problem 6]] proposed by Poland | * [[1965 IMO Problems/Problem 6 | Problem 6]] proposed by Poland | ||
| Line 495: | Line 495: | ||
* [[2004 IMO]] (in Greece) | * [[2004 IMO]] (in Greece) | ||
* [[2004 IMO Problems]] | * [[2004 IMO Problems]] | ||
| − | * [[2004 IMO Problems/Problem 1 | Problem 1]] proposed by Valentin Vornicu | + | * [[2004 IMO Problems/Problem 1 | Problem 1]] 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]] 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]] proposed by Jan Willemson, Estonia | ||
Revision as of 06:23, 15 May 2008
This page lists the authors of the problems of the IMO.
Contents
- 1 1959
- 2 1960
- 3 1961
- 4 1962
- 5 1963
- 6 1964
- 7 1965
- 8 1966
- 9 1967
- 10 1968
- 11 1969
- 12 1970
- 13 1971
- 14 1972
- 15 1973
- 16 1974
- 17 1975
- 18 1976
- 19 1977
- 20 1978
- 21 1979
- 22 1980
- 23 1981
- 24 1982
- 25 1983
- 26 1984
- 27 1985
- 28 1986
- 29 1987
- 30 1988
- 31 1989
- 32 1990
- 33 1991
- 34 1992
- 35 1993
- 36 1994
- 37 1995
- 38 1996
- 39 1997
- 40 1998
- 41 1999
- 42 2000
- 43 2001
- 44 2002
- 45 2003
- 46 2004
- 47 2005
- 48 2006
- 49 2007
- 50 See also
1959
- 1959 IMO (in Romania)
- 1959 IMO Problems
- Problem 1 proposed by Poland
- Problem 2 proposed by Constantin Ionescu-Tiu, Romania
- Problem 3 proposed by Hungary
- Problem 4 proposed by Hungary
- Problem 5 proposed by Cezar Cosnita, Romania
- Problem 6 proposed by Czechoslovakia
1960
- 1960 IMO (in Romania)
- 1960 IMO Problems
- Problem 1 proposed by Bulgaria
- Problem 2 proposed by Hungary
- Problem 3 proposed by Gheorghe D. Simionescu, Romania
- Problem 4 proposed by Hungary
- Problem 5 proposed by Czechoslovakia
- Problem 6 proposed by Bulgaria
- Problem 7 proposed by East Germany
1961
- 1961 IMO (in Hungary)
- 1961 IMO Problems
- Problem 1 proposed by Hungary
- Problem 2 proposed by Poland
- Problem 3 proposed by Bulgaria
- Problem 4 proposed by East Germany
- Problem 5 proposed by Czechoslovakia
- Problem 6 proposed by Gheorghe D. Simionescu, Romania
1962
- 1962 IMO (in Czechoslovakia)
- 1962 IMO Problems
- Problem 1 proposed by Poland
- Problem 2 proposed by Hungary
- Problem 3 proposed by Czechoslovakia
- Problem 4 proposed by Cezar Cosnita, Romania
- Problem 5 proposed by Bulgaria
- Problem 6 proposed by East Germany
- Problem 7 proposed by USSR
1963
- 1963 IMO (in Poland)
- 1963 IMO Problems
- Problem 1 proposed by Czechoslovakia
- Problem 2 proposed by USSR
- Problem 3 proposed by Hungary
- Problem 4 proposed by USSR
- Problem 5 proposed by Wolfgang Engel, East Germany
- Problem 6 proposed by Hungary
1964
- 1964 IMO (in USSR)
- 1964 IMO Problems
- Problem 1 proposed by Czechoslovakia
- Problem 2 proposed by Hungary
- Problem 3 proposed by Yugoslavia
- Problem 4 proposed by Hungary
- Problem 5 proposed by Gheorghe D. Simionescu, Romania
- Problem 6 proposed by Poland
1965
- 1965 IMO (in East Germany)
- 1965 IMO Problems
- Problem 1 proposed by Yugoslavia
- Problem 2 proposed by Poland
- Problem 3 proposed by Czechoslovakia
- Problem 4 proposed by USSR
- Problem 5 proposed by Gheorghe D. Simionescu, Romania
- Problem 6 proposed by Poland
1966
- 1966 IMO (in Bulgaria)
- 1966 IMO Problems
- Problem 1 proposed by USSR
- Problem 2 proposed by Hungary
- Problem 3 proposed by Bulgaria
- Problem 4 proposed by Yugoslavia
- Problem 5 proposed by Czechoslovakia
- Problem 6 proposed by Poland
1967
- 1967 IMO (in Yugoslavia)
- 1967 IMO Problems
- Problem 1 proposed by Poland
- Problem 2 proposed by Czechoslovakia
- Problem 3 proposed by United Kingdom
- Problem 4 proposed by Tullio Viola, Italy
- Problem 5 proposed by USSR
- Problem 6 proposed by Hungary
1968
- 1968 IMO (in USSR)
- 1968 IMO Problems
- Problem 1 proposed by Unknown Author, Romania (taken from a Romanian problem book)
- Problem 2 proposed by Czechoslovakia
- Problem 3 proposed by Bulgaria
- Problem 4 proposed by Poland
- Problem 5 proposed by East Germany
- Problem 6 proposed by United Kingdom
1969
- 1969 IMO (in Romania)
- 1969 IMO Problems
- Problem 1 proposed by Wolfgang Engel, East Germany
- Problem 2 proposed by Hungary
- Problem 3 proposed by Poland
- Problem 4 proposed by Netherlands
- Problem 5 proposed by A. Mekei, Mongolia
- Problem 6 proposed by USSR
1970
- 1970 IMO (in Hungary)
- 1970 IMO Problems
- Problem 1 proposed by Poland
- Problem 2 proposed by Dumitru Batinetzu, Romania
- Problem 3 proposed by Åke Samuelsson, Sweden
- Problem 4 proposed by Czechoslovakia
- Problem 5 proposed by Bulgaria
- Problem 6 proposed by USSR
1971
- 1971 IMO (in Czechoslovakia)
- 1971 IMO Problems
- Problem 1 proposed by Hungary
- Problem 2 proposed by USSR
- Problem 3 proposed by Poland
- Problem 4 proposed by Netherlands
- Problem 5 proposed by Bulgaria
- Problem 6 proposed by Sweden
1972
- 1972 IMO (in Poland)
- 1972 IMO Problems
- Problem 1 proposed by USSR
- Problem 2 proposed by Netherlands
- Problem 3 proposed by United Kingdom
- Problem 4 proposed by Netherlands
- Problem 5 proposed by Bulgaria
- Problem 6 proposed by United Kingdom
1973
- 1973 IMO (in USSR)
- 1973 IMO Problems
- Problem 1 proposed by Czechoslovakia
- Problem 2 proposed by Poland
- Problem 3 proposed by Åke Samuelsson, Sweden
- Problem 4 proposed by Yugoslavia
- Problem 5 proposed by Poland
- Problem 6 proposed by Åke Samuelsson, Sweden
1974
- 1974 IMO (in East Germany)
- 1974 IMO Problems
- Problem 1 proposed by Murray Klamkin, USA
- Problem 2 proposed by Matti Lehtinen, Finland
- Problem 3 proposed by Ciprian Borcea, Romania
- Problem 4 proposed by Bulgaria
- Problem 5 proposed by Jan van de Craats, Netherlands
- Problem 6 proposed by Sweden
1975
- 1975 IMO (in Bulgaria)
- 1975 IMO Problems
- Problem 1 proposed by Czechoslovakia
- Problem 2 proposed by United Kingdom
- Problem 3 proposed by Jan van de Craats, Netherlands
- Problem 4 proposed by USSR
- Problem 5 proposed by USSR
- Problem 6 proposed by United Kingdom
1976
- 1976 IMO (in Austria)
- 1976 IMO Problems
- Problem 1 proposed by Czechoslovakia
- Problem 2 proposed by Matti Lehtinen, Finland
- Problem 3 proposed by Jan van de Craats, Netherlands
- Problem 4 proposed by Murray Klamkin, USA
- Problem 5 proposed by Jan van de Craats, Netherlands
- Problem 6 proposed by United Kingdom
1977
- 1977 IMO (in Yugoslavia)
- 1977 IMO Problems
- Problem 1 proposed by Jan van de Craats, Netherlands
- Problem 2 proposed by Phan Duc Chinh, Vietnam
- Problem 3 proposed by Jan van de Craats, Netherlands
- Problem 4 proposed by United Kingdom
- Problem 5 proposed by West Germany
- Problem 6 proposed by Ivan Prodanov, Bulgaria
1978
- 1978 IMO (in Romania)
- 1978 IMO Problems
- Problem 1 proposed by Cuba
- Problem 2 proposed by Murray Klamkin, USA
- Problem 3 proposed by United Kingdom
- Problem 4 proposed by Murray Klamkin, USA
- Problem 5 proposed by France
- Problem 6 proposed by Jan van de Craats, Netherlands
1979
- 1979 IMO (in United Kingdom)
- 1979 IMO Problems
- Problem 1 proposed by West Germany
- Problem 2 proposed by Nickolay Khadzhiivanov and Nedjalko Nenov, Bulgaria
- Problem 3 proposed by USSR
- Problem 4 proposed by Murray Klamkin, USA
- Problem 5 proposed by Israel
- Problem 6 proposed by West Germany
1980
1981
- 1981 IMO (in USA)
- 1981 IMO Problems
- Problem 1 proposed by United Kingdom
- Problem 2 proposed by West Germany
- Problem 3 proposed by Jan van de Craats, Netherlands
- Problem 4 proposed by Belgium
- Problem 5 proposed by USSR
- Problem 6 proposed by Juha Oikkonen, Finland
1982
- 1982 IMO (in Hungary)
- 1982 IMO Problems
- Problem 1 proposed by United Kingdom
- Problem 2 proposed by Jan van de Craats, Netherlands
- Problem 3 proposed by Alexander N. Grishkov, USSR
- Problem 4 proposed by United Kingdom
- Problem 5 proposed by Jan van de Craats, Netherlands
- Problem 6 proposed by Van Nhu Cuong, Vietnam
1983
- 1983 IMO (in France)
- 1983 IMO Problems
- Problem 1 proposed by United Kingdom
- Problem 2 proposed by Igor F. Sharygin, USSR
- Problem 3 proposed by West Germany
- Problem 4 proposed by Belgium
- Problem 5 proposed by Marcin Kuczma, Poland
- Problem 6 proposed by Murray Klamkin, USA
1984
- 1984 IMO (in Czechoslovakia)
- 1984 IMO Problems
- Problem 1 proposed by West Germany
- Problem 2 proposed by Aiko Tiggelaar, Netherlands
- Problem 3 proposed by Ioan Tomescu, Romania
- Problem 4 proposed by Laurentiu Panaitopol, Romania
- Problem 5 proposed by Tserendorj Dashdorj, Mongolia
- Problem 6 proposed by Poland
1985
- 1985 IMO (in Finland)
- 1985 IMO Problems
- Problem 1 proposed by United Kingdom
- Problem 2 proposed by George Szekeres, Australia
- Problem 3 proposed by Jan van de Craats, Netherlands
- Problem 4 proposed by R. Gonchigdorj, Mongolia
- Problem 5 proposed by USSR
- Problem 6 proposed by Åke Samuelsson, Sweden
1986
- 1986 IMO (in Poland)
- 1986 IMO Problems
- Problem 1 proposed by West Germany
- Problem 2 proposed by Gengzhe Chang and Dongxu Qi, China
- Problem 3 proposed by Elias Wegert, East Germany
- Problem 4 proposed by Sven Sigurðsson, Iceland
- Problem 5 proposed by United Kingdom
- Problem 6 proposed by Konrad Engel, East Germany
1987
- 1987 IMO (in Cuba)
- 1987 IMO Problems
- Problem 1 proposed by Horst Sewerin, West Germany
- Problem 2 proposed by I.A. Kushnir, USSR
- Problem 3 proposed by Arthur Engel, West Germany
- Problem 4 proposed by Nguyen Minh Duc, Vietnam
- Problem 5 proposed by East Germany
- Problem 6 proposed by Vsevolod F. Lev, USSR
1988
- 1988 IMO (in Australia)
- 1988 IMO Problems
- Problem 1 proposed by Lucien Kieffer, Luxembourg
- Problem 2 proposed by Czechoslovakia
- Problem 3 proposed by United Kingdom
- Problem 4 proposed by Finbarr Holland, Ireland
- Problem 5 proposed by Dimitris Kontogiannis, Greece
- Problem 6 proposed by Stephan Beck, West Germany
1989
- 1989 IMO (in West Germany)
- 1989 IMO Problems
- Problem 1 proposed by Philippines
- Problem 2 proposed by Esther Szekeres, Australia
- Problem 3 proposed by Harm Derksen, Netherlands
- Problem 4 proposed by Eggert Briem, Iceland
- Problem 5 proposed by Bernt Lindström, Sweden
- Problem 6 proposed by Marcin Kuczma, Poland
1990
- 1990 IMO (in China)
- 1990 IMO Problems
- Problem 1 proposed by C.R. Pranesachar, India
- Problem 2 proposed by Pavol Černek, Czechoslovakia
- Problem 3 proposed by Laurentiu Panaitopol, Romania
- Problem 4 proposed by Albert Erkip, Turkey
- Problem 5 proposed by West Germany
- Problem 6 proposed by Harm Derksen, Netherlands
1991
- 1991 IMO (in Sweden)
- 1991 IMO Problems
- Problem 1 proposed by USSR
- Problem 2 proposed by Laurentiu Panaitopol, Romania
- Problem 3 proposed by Chengzhang Li, China
- Problem 4 proposed by Cecil Rousseau, USA
- Problem 5 proposed by Johan Yebbou, France
- Problem 6 proposed by Harm Derksen, Netherlands
1992
- 1992 IMO (in Russia)
- 1992 IMO Problems
- Problem 1 proposed by Achim Zulauf, New Zealand
- Problem 2 proposed by Belur Jana Venkatachala, India
- Problem 3 proposed by Chengzhang Li, China
- Problem 4 proposed by Johan Yebbou, France
- Problem 5 proposed by Stefano Mortola, Italy
- Problem 6 proposed by Tony Gardiner, United Kingdom
1993
- 1993 IMO (in Turkey)
- 1993 IMO Problems
- Problem 1 proposed by Tom Laffey, Ireland
- Problem 2 proposed by David Monk, United Kingdom
- Problem 3 proposed by Kerkko Luosto, Finland
- Problem 4 proposed by Donco Dimovski, Macedonia
- Problem 5 proposed by Elias Wegert, Germany
- Problem 6 proposed by Nicholas de Bruijn, Netherlands
1994
- 1994 IMO (in Hong Kong)
- 1994 IMO Problems
- 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 United Kingdom
- Problem 6 proposed by Kerkko Luosto, Finland
1995
- 1995 IMO (in Canada)
- 1995 IMO Problems
- Problem 1 proposed by Borislav Mihailov, Bulgaria
- Problem 2 proposed by Nazar Agakhanov, Russia
- Problem 3 proposed by Jaromír Šimša, Czech Republic
- Problem 4 proposed by Marcin Kuczma, Poland
- Problem 5 proposed by Alastair McNaughton, New Zealand
- Problem 6 proposed by Marcin Kuczma, Poland
1996
- 1996 IMO (in India)
- 1996 IMO Problems
- Problem 1 proposed by Kerkko Luosto, Finland
- Problem 2 proposed by Jeffrey Grossman, Canada
- Problem 3 proposed by Mircea Becheanu, Romania
- Problem 4 proposed by Alexander S. Golovanov, Russia
- Problem 5 proposed by Nairi Sedrakyan, Armenia
- Problem 6 proposed by Laurent Rosaz, France
1997
- 1997 IMO (in Argentina)
- 1997 IMO Problems
- Problem 1 proposed by 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
- 1998 IMO (in Taiwan)
- 1998 IMO Problems
- Problem 1 proposed by Charles Leytem, Luxembourg
- Problem 2 proposed by R.B. Bapat, India
- Problem 3 proposed by Belarus
- Problem 4 proposed by David Monk, United Kingdom
- Problem 5 proposed by Ukraine
- Problem 6 proposed by Oleg Mushkarov and Nikolai Nikolov, Bulgaria
1999
- 1999 IMO (in Romania)
- 1999 IMO Problems
- Problem 1 proposed by Jan Willemson, Estonia
- Problem 2 proposed by Marcin Kuczma, Poland
- Problem 3 proposed by E. Barabanov and Igor Voronovich, Belarus
- Problem 4 proposed by Liang-Ju Chu, Taiwan
- Problem 5 proposed by Pavel Kozhevnikov, Russia
- Problem 6 proposed by Tetsuya Ando, Japan
2000
- 2000 IMO (in South-Korea)
- 2000 IMO Problems
- Problem 1 proposed by Sergei Berlov, Russia
- Problem 2 proposed by Titu Andreescu, USA
- Problem 3 proposed by Belarus
- Problem 4 proposed by Sándor Dobos, Hungary
- Problem 5 proposed by Valerii Senderov, Russia
- Problem 6 proposed by Lev and Tatiana Emelianovii, Russia
2001
- 2001 IMO (in USA)
- 2001 IMO Problems
- Problem 1 proposed by Hojoo Lee, South Korea
- Problem 2 proposed by Hojoo Lee, South Korea
- Problem 3 proposed by Christian Bey, Germany
- Problem 4 proposed by Bill Sands, Canada
- Problem 5 proposed by Israel, (Problem 2501 in Crux Mathematicorum, February 2000)
- Problem 6 proposed by Aleksander Ivanov, Bulgaria
2002
- 2002 IMO (in United Kingdom)
- 2002 IMO Problems
- Problem 1 proposed by Federico Ardila, Colombia
- Problem 2 proposed by Hojoo Lee, South Korea
- Problem 3 proposed by Laurentiu Panaitopol, Romania
- Problem 4 proposed by Mihai Manea, Romania
- Problem 5 proposed by Belur Jana Venkatachala, India
- Problem 6 proposed by Vyacheslav Yasinsky, Ukraine
2003
- 2003 IMO (in Japan)
- 2003 IMO Problems
- Problem 1 proposed by Carlos Gustavo Moreira, Brazil
- Problem 2 proposed by Aleksander Ivanov, Bulgaria
- Problem 3 proposed by Waldemar Pompe, Poland
- Problem 4 proposed by Matti Lehtinen, Finland
- Problem 5 proposed by Finbarr Holland, Ireland
- Problem 6 proposed by Johan Yebbou, France
2004
- 2004 IMO (in Greece)
- 2004 IMO Problems
- Problem 1 proposed by Dinu Serbanescu and Valentin Vornicu, Romania
- Problem 2 proposed by Hojoo Lee, South Korea
- Problem 3 proposed by Jan Willemson, Estonia
- Problem 4 proposed by Hojoo Lee, South Korea
- Problem 5 proposed by Waldemar Pompe, Poland
- Problem 6 proposed by Mohsen Jamaali and Armin Morabbi, Iran
2005
- 2005 IMO (in Mexico)
- 2005 IMO Problems
- Problem 1 proposed by Bogdan Enescu, Romania
- Problem 2 proposed by Nicholas de Bruijn, Netherlands
- Problem 3 proposed by Hojoo Lee, South Korea
- Problem 4 proposed by Mariusz Skalba, Poland
- Problem 5 proposed by Waldemar Pompe, Poland
- Problem 6 proposed by Radu Gologan and Dan Schwarz, Romania
2006
- 2006 IMO (in Slovenia)
- 2006 IMO Problems
- Problem 1 proposed by Hojoo Lee, South Korea
- Problem 2 proposed by Dušan Djukić, Serbia
- Problem 3 proposed by Finbarr Holland, Ireland
- Problem 4 proposed by Zuming Feng, USA
- Problem 5 proposed by Dan Schwarz, Romania
- Problem 6 proposed by Dušan Djukić, Serbia
2007
- 2007 IMO (in Vietnam)
- 2007 IMO Problems
- Problem 1 proposed by Michael Albert, New Zealand
- Problem 2 proposed by Charles Leytem, Luxembourg
- Problem 3 proposed by Vasily Astakhov, Russia
- Problem 4 proposed by Marek Pechal, Czech Republic
- Problem 5 proposed by Kevin Buzzard and Edward Crane, United Kingdom
- Problem 6 proposed by Gerhard Woeginger, Netherlands
