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# The vicious cycle

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!

Note by Joel Tan
2 years, 12 months ago

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1. numbered2. list
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[example link](https://brilliant.org)example link
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    # I indented these lines
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# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$

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Gosh this set is nice.

But simultaneously tedious. (Get it?)

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

- 2 years, 12 months ago

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

- 2 years, 12 months ago

Awesome! I loved this problem set. :D

- 2 years, 6 months ago

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

- 2 years, 11 months ago

Great concept!

- 2 years, 12 months ago