# Puzzled with texts

Algebra Level 5

Find minimum value of $$n \ge 3$$ such that among any $$n$$ positive real numbers $$a_1, a_2, \ldots, a_n$$ with

$\large\ \max(a_1, a_2, \ldots, a_n) \le n \cdot \min(a_1, a_2, \ldots, a_n)$

there exist three that are the side lengths of an acute triangle.

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