# Not too hard I

Algebra Level 5

Let $$a$$, $$b$$ anc $$c$$ be complex numbers such that:

$a^2+b^2+c^2=14\\ a^3+b^3+c^3=20\\ ab+ac+bc=-5$

Let $$A$$ the sum of all possible values of $$|(a-b)(a-c)(b-c)|$$. If $$A=\dfrac{m+2\sqrt{n}}{3}$$, find $$m+n$$.

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