Intuition

Geometry Level 2

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

Let the maximum area for a closed curve of length 1 be AA. Find 1000A\lfloor1000A\rfloor.

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

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