# Geometricus Geometriorum (HP I, philosophical stone)

Geometry Level 4

$\frac{(x - 2017)^2}{576} + \frac{(y - 2016)^2}{625} = 1$

Given the ellipse above, let

• the distance between the foci of this ellipse be $$a$$;
• the sum of the distances from the point $$\left(2017 + 24\cos \dfrac{\pi}{4}, \ 2016 + 25\sin \dfrac{\pi}{4} \right)$$ to the foci be $$b$$.

Find $$a + b$$.

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