This note contains the instructions for the three problems.

In these problems, all answers are integers and \(P_{n}\) denotes the answer to the \(n\)th problem, \(n=1, 2, 3\). The \(n\)th problem is also called 'The vicious cycle (\(n\))'.

Problems can be found here

Enjoy!

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestGosh this set is nice.

But simultaneously tedious. (Get it?)

(I cheated for the quartic, am I a bad person? ;^;)

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Yes you are. You offended the god of maths and now you will be banished for an eternity without the presence of a calculator. Wolfram is mathtan and by consulting mathtan, you have eaten the apple of mathematical fallacy. You are now a fallacy. Everything you own is a fallacy. You do not exist. You will wake one day to find yourself as a baby and realised you are fortunate enough to live 80 additional years. Then after that you would nvm. this is going off point. Speaking of a point, if it is not a point, it's dimension mush not be 0. That means it might mean that it is a FUNCTION! A FUNCTION IS POINTLESS! OR POINTFUL! bye

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Awesome! I loved this problem set. :D

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Really an awesome thinking. Can you suggest me an idea to submit solution? (So that answer of other 2 questions are not revealed)

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Great concept!

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