If \( a, b \), care distinct integers and \( w(\neq 1) \) is a cube root
of unity, and the minim... VIDEO
If \( a, b \), care distinct integers and \( w(\neq 1) \) is a cube root
of unity, and the minimum value of \( \left|a+b w+c w^{2}\right|+\left|a+b w^{2}+c w\right| \) is \( n \sqrt{3} \), then \( n= \)
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