PUMaC 2025 · 代数（A 组） · 第 5 题

PUMaC 2025 — Algebra (Division A) — Problem 5

Let f ( x ) = 2 x − 1. Find the smallest positive integer N such that the median of the real − 2025 roots of the polynomial ( f ◦ f ◦ f ◦ . . . f ◦ f ) ( x ) − x has absolute value at most 2 . | {z } f composed N times 2

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