# It's nice 2

Algebra Level 4

$$x^4$$ + $$y^4$$ + $$z^4$$ - $$4xyz$$ = $$-1$$

Find the sum of all possible values of $$x,y,z$$ where $$x,y,z$$ are integers.

• Ex. if there are two pairs of values then sum of values of $$x,y,z$$ is $$(2,3,4) , (1,2,-3)$$ here sum is $$2+3+4+1+2-3$$
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