Transcription of IMO2020 Shortlisted Problems with Solutions
{{id}} {{{paragraph}}}
Example: bachelor of science
IMO2020 Shortlisted Problems with Solutions
ShortlistedProblems(with Solutions )61stInternational Mathematical OlympiadSaint-Petersburg Russia, 18th 28th September 2020 Note of ConfidentialityThe Shortlist has to be kept strictly confidentialuntil the conclusion of the followingInternational Mathematical General Regulations CountriesThe Organising Committee and the Problem Selection Committee of IMO 2020 thank thefollowing 39 countries for contributing 149 problem proposals:Armenia, Australia, Austria, Belgium, Brazil, Canada, Croatia, Cuba,Cyprus, Czech Republic, Denmark, Estonia, France, Georgia, Germany,Hong Kong, Hungary, India, Iran, Ireland, Israel, Kosovo, Latvia,Luxembourg, Mongolia, Netherlands, North Macedonia, Philippines, Poland,Slovakia, Slovenia, South Africa, Taiwan, Thailand, Trinidad and Tobago,Ukraine, United Kingdom, USA, VenezuelaProblem Selection CommitteeIlya I.
colored white. Prove that there exist 24 convex quadrilaterals Q 1, ..., Q 24 whose corners are vertices of the 100-gon, so that • the quadrilaterals Q 1, ..., Q 24 are pairwise disjoint, and • every quadrilateral Qi has three corners of one color and one corner of the other color. (Austria) C3. Let nbe an integer with ně 2.
Loading..
Tags:
Information
Domain:
Source:
Link to this page:
Please notify us if you found a problem with this document: