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PUMaC 2007 · 个人决赛(B 组) · 第 2 题

PUMaC 2007 — Individual Finals (Division B) — Problem 2

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. Suppose that A is a set of positive integers less than N and that no two distinct elements of A sum to a perfect square. That is, if a , a ∈ A and a 6 = a then | a + a | is not a square of an integer. 1 2 1 2 1 2 11 Prove that the maximum number of elements in A is at least b N c . 32
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