Category Archives: Intl/Regional

Data on IMO results

Following the recent IMO 2016, I have been meaning to do some analysis on IMO results. Unfortunately I have not had time to do so… In the meantime, I thought I’d share the data I’ve scraped so far so that … Continue reading

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IMO 2016

This year’s International Mathematical Olympiad (IMO) took place in Hong Kong from 6-16 July. The problems can be downloaded from this page or viewed at the Art of Problem Solving (AoPS) forum page for IMO 2016 (here). Congratulations to my country, … Continue reading

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[Soln] 2016 Pan-African Math Olympiad Problem 3

2016 PAMO 3. For any positive integer , we define the integer as Find the greatest common divisor of the integers .

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[Hints] 2016 Pan-African Math Olympiad Problem 3

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2016 Pan-African Math Olympiad Problem 3

2016 PAMO 3. For any positive integer , we define the integer as Find the greatest common divisor of the integers .

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[Soln] 2015 IMC Day 1 Problem 2

2015 IMC 1.2. For a positive integer , let be the number obtained by writing in binary and replacing every with and vice versa. For example, is in binary, so is in binary, therefore . Prove that When does equality … Continue reading

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2015 IMC Day 1 Problem 2

2015 IMC 1.2. For a positive integer , let be the number obtained by writing in binary and replacing every with and vice versa. For example, is in binary, so is in binary, therefore . Prove that When does equality … Continue reading

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