Big O is used to notate the 'time and space complexity' of algorithms. It provides us with key insights into how fast an algorithm is, without getting bogged down with details.

$\sqrt{x} = \frac{x}{\sqrt{x}}$
Seeing the above equation may look completely logical, or not. When i saw it a few days ago, i thought it was wrong. When i understood that it was correct, i thought it was the most beautiful thing ever. I’m not 100% sure why this intrigued me so much, but it just looks great.
There are a few ways of simplifying this. We could multiply both sides with $\sqrt{x}$, like so:

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