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Given zzz and ara_{r}ar are complex numbers with ∑r=1narzr=1 \displaystyle \sum_{r=1}^n a_r z^r = 1 r=1∑narzr=1 for ∣ar∣≤2 \mid a_r \mid \leq 2 ∣ar∣≤2.
Find the minimum value of ∣z∣ \mid z \mid ∣z∣.
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