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$\large f(x) =\sqrt [ 3 ]{ 1-x } +\sqrt [ 3 ]{ x+3 }, \,\,x\in \mathbb{R}$

Suppose $L$ is the maximum value of the function $f$. Find the value of $\lfloor 10000L\rfloor$.

$$ Notation: $\lfloor \cdot \rfloor$ denotes the floor function.

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