Varying Permittivity

A sphere is parametrized as $x^{2}+y^{2}+z^{2}=1$
A partice of charge $q=+69$ is placed at origin.
Electric Permittivity of that region varies as $\epsilon_{0}=1, z>0$ $\epsilon_{0}=2, z<0$
If the flux through the upper surface be $\phi_{z>0}=\alpha$
If the flux through the lower surface be $\phi_{z<0}=\beta$
Type your answer as $\alpha \beta=?$
The problem is original
Inspiration