Tag Archives: 2016

[Soln] Identifying the weight of one ingot

Posted on 11 Jan 2022 by kjytay

King Hiero II of Syracuse has 11 identical-looking metallic ingots. The king knows that the weights of the ingots are equal to 1, 2, …, 11 libras, in some order. He also has a bag, which would be ripped apart … Continue reading →

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[Hints] Identifying the weight of one ingot

Posted on 10 Jan 2022 by kjytay
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Identifying the weight of one ingot

Posted on 9 Jan 2022 by kjytay

King Hiero II of Syracuse has 11 identical-looking metallic ingots. The king knows that the weights of the ingots are equal to 1, 2, …, 11 libras, in some order. He also has a bag, which would be ripped apart … Continue reading →

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[Soln] 2016 Putnam Problem B1

Posted on 19 Dec 2016 by kjytay

2016 Putnam B1. Let be the sequence such that and for , (as usual, the function is the natural logarithm. Show that the infinite series converges and find its sum.

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2016 Putnam Problem B1

Posted on 18 Dec 2016 by kjytay

2016 Putnam B1. Let be the sequence such that and for , (as usual, the function is the natural logarithm. Show that the infinite series converges and find its sum.

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IMO 2016

Posted on 15 Jul 2016 by kjytay

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

Posted on 3 Jun 2016 by kjytay

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

Posted on 3 Jun 2016 by kjytay
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2016 Pan-African Math Olympiad Problem 3

Posted on 2 Jun 2016 by kjytay

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] 2016 Japan Math Olympiad Preliminary Problem 10

Posted on 5 May 2016 by kjytay

2016 JMO Prelim 10. Boy A and 2016 flags are on the circumference of a circle, with circumference length 1. He wants to get all the flags by moving on the circumference. Find the smallest possible such that for any position … Continue reading →

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