# Inspired by Comrade Otto Bretscher

Algebra Level 5

$f_{a}(x,y,z)=ax^2+2ay^2+15z^2+axy+2ayz+15zx+x+2y+3z+10$

If the function above attains a global minima for some $$a$$, submit your answer as $$10a$$.

If the value of $$a$$ is bounded in the form $$a\in(p,q)$$ when the function attains its global minima, submit $$p+q$$.

If you come to the conclusion that no global minima exists, enter 666.

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