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HMMT 二月 2024 · 冲刺赛 · 第 1 题

HMMT February 2024 — Guts Round — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [5] Compute the sum of all integers n such that n − 3000 is a perfect square. 1
解析
  1. [5] Compute the sum of all integers n such that n − 3000 is a perfect square. Proposed by: Holden Mui Answer: 0 2 2 Solution: If n − 3000 is a square, then ( − n ) − 3000 is also a square, so the sum is 0 . 1