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Applications of mathematics for the design and analysis of games and puzzles

12 votes
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Writing integers as a product of as few elements of $\{\frac21, \frac32, \frac43, \frac54, \...

Is the number of elements we need to construct $x$ equal to $\log_2(x) + O(1)$? This question is inspired by question 2 of the 2018 European Girls' Mathematical Olympiad. I previously posted it on mat …
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