national math olympiad question | Mathematics | Page 1

lunar ibex Apr 10, 2024, 3:23 AM

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How do u even solve thie

warped eagleBOT Apr 10, 2024, 3:23 AM

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gentle thunder Apr 10, 2024, 4:17 AM

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I;d probably start by attempting to determine f(1)

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nah

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sorry that won't work

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which olympiad is this from?

gentle thunder Apr 10, 2024, 4:18 AM

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lunar ibex How do u even solve thie

is there any more information missing?

lunar ibex Apr 10, 2024, 4:20 AM

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Nope

gentle thunder Apr 10, 2024, 4:20 AM

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hmm

lunar ibex Apr 10, 2024, 4:21 AM

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gentle thunder which olympiad is this from?

Indonesia MO 2023 question 2

gentle thunder Apr 10, 2024, 4:21 AM

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https://youtu.be/LEIXdT7358I?si=I6iVBDbGGLLdOEFE

YouTube

Anulus Smaragdinus

Indonesia National Science Olympiad, 2023, problem 2

Solving a functional equation involving floors. First we establish that our function can attain only integer values, which allows us to manipulate floors more freely. This problem was proposed on the Indonesia National Science Olympiad, 2023.

Source: https://artofproblemsolving.com/downloads/printable_post_collections/3529836

▶ Play video

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this might help

lunar ibex Apr 10, 2024, 4:21 AM

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Aight thanks

half ravine Apr 10, 2024, 4:43 AM

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We can rewrite $f(f(y))$ as $f(f(y) + 0)$, hence, we can replace that with $\lfloor x + f(f(y)) \rfloor$ with $\lfloor x + \lfloor y + f(f(0)) \rfloor \rfloor$

gleaming iglooBOT Apr 10, 2024, 4:43 AM

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HitenTandon

true crest Apr 10, 2024, 8:05 AM

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.close

#national math olympiad question