Inspired by Sanyog Ghosh

Algebra Level pending

\[ \large \displaystyle \left ( \sum_{n=1}^{ 10^{\lfloor \pi \rfloor} + 9^{\lceil e \rceil} } (-1)^{n+1} \times \lceil \sqrt [3]{n} \rceil^{2} \right ) - 7^{2} = \ ? \]

Notes:

  • \( \lfloor \alpha \rfloor\) is the floor function

  • \( \lceil \alpha \rceil\) is the ceiling function

  • \( e \) is Euler's number

  • \( \pi \) is pi

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