# Intuition

Geometry Level 3

You can create a closed curve of length $$l$$ by drawing any path of length $$l$$ that connects to its start. Some examples are given above.

Let the maximum area for a closed curve of length 1 be $$A$$. Find $$\lfloor1000A\rfloor$$.

Clarification: the symbol $$\lfloor x \rfloor$$ denotes the largest integer less than or equal to $$x$$.

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