# I'm not drawing it for you!

Two circles, A and B, with radii of length equal to 1 are built on the $$xy$$ plane. The center of A is chosen randomly and uniformly in the line segment that starts at $$(0,0)$$ and ends at $$(2,0)$$. The center of B is chosen randomly, uniformly, and independently of the first choice, in the line segment that starts at $$(0,1)$$ and ends at $$(2,1)$$. Let $$P$$ be the probability that the circles A and B intersect. Find: $\left\lfloor {10^4 P + 0.5} \right\rfloor$ Note: $$\left\lfloor x \right\rfloor$$ represents the integral part of $$x$$, that is, the greatest integer lower or equal than $$x$$. Example: $$\left\lfloor {1.3} \right\rfloor = 1$$, $$\left\lfloor { - 1.3} \right\rfloor = - 2$$.

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