# Smallest area of triangle

Geometry Level 4

As shown in the figure, given two fixed points, $$O=(0,0)$$ and $$A=(10,10)$$. $$C$$ is a point on $$x$$-axis, while $$D$$ is a point on a straight line, which make a $$60^\circ$$ with $$x$$-axis. Now the three points $$C, A$$ and $$D$$ lie on a straight line.

Let the smallest possible value of the area of triangle $$OCD$$ be $$s$$. Find the value of $$\lfloor 1000s\rfloor$$.

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