# No need of any jugglery - 2

Geometry Level 4

Given that $$ABCD$$ is a square of side length $$6$$. $$E$$ is a point on the circumference of the circle with $$AB$$ as diameter such that $$\angle CBE$$ equals to $${ 30 }^{ \circ }$$. The areas of $$\Delta ACE$$ and $$\Delta ABE$$ are $$a$$ and $$b$$ respectively. Find $$\left\lfloor a+b \right\rfloor$$ where $$\left\lfloor x \right\rfloor$$ represents the greatest integer lesser than or equal to $$x$$.

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