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PUMaC 2014 · 加试 · 第 8 题

PUMaC 2014 — Power Round — Problem 8

专题
Discrete Math / 离散数学
难度
L3
来源
PUMaC

题目详情

  1. (3) Denote the subsets A , B of positive integers as follows: 2000 2 2 A = { n | n < 2 , n = 2 x − 3 y for some x, y ∈ Z } 2000 2 2 B = { n | n < 2 , n = 10 xy − x − y for some x, y ∈ Z } Determine which of A or B is larger. 7 4 A Conic Polynomial Expressing All Integers 2 In this section we attempt at finding a positive-definite square: namely, x + 2 2 2 y + z + w .
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Original Explanation

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