Inspired by Xuming Liang

Algebra Level 4

Compute \[ \left\lfloor \pi\right \rfloor + \left\lfloor \pi +\frac{1}{900} \right\rfloor +\left \lfloor \pi + \frac{2}{900} \right\rfloor +\cdots + \left\lfloor \pi + \frac{899}{900} \right\rfloor . \]

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