Complex Number Roots Sum Problem: (p+q)^2 with Square Roots of ±1 Products

Published on November 1, 2026

Find the sum of all possible values of (p+q)^2 where p and q are products of square roots of sequences a_n and b_n taking values 1 or -1, given constraints on their products. The solution uses i^k powers based on counts of -1 terms and yields possible values 2i and -2i.

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