Wanna bash it! 2

$\displaystyle\large{ \begin{cases} a+b+c+d=3 \\ a^2+b^2+c^2+d^2=5 \\ a^3+b^3+c^3+d^3=3 \\ a^4+b^4+c^4+d^4=9 \end{cases} }$

Let $a,b,c$ and $d$ be complex numbers satisfying the system of equations above. Given that

$\displaystyle a^{2015}+b^{2015}+c^{2015}+d^{2015}=2^p+2^q+r ,$

where $p,q$ and $r$ are integers, with $|r|$ minimized, find $p+q+r$ .

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Also try my previous problem .