Easy

Algebra Level 3

\[x + y + z = 0\\x^2 + y^2 + z^2 = 6\\x^3 + y^3 + z^3 = -6.\] \[x^{2016} + y^{2016} + z^{2016} = 2^B + C,\] where \( 0 \leq C < 2^B \) and \(B\) is a positive integer.

Find \(2 + B + C \).

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