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HMMT 二月 2009 · 冲刺赛 · 第 34 题

HMMT February 2009 — Guts Round — Problem 34

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [ ≤ 25 ] How many integer lattice points (points of the form ( m, n ) for integers m and n ) lie inside or on the boundary of the disk of radius 2009 centered at the origin? If your answer is higher than the correct answer, you will receive 0 points. If your answer is d less than the correct answer, your score on this problem will be the larger of 0 and 25 − b d/ 10 c .
解析
  1. [ ≤ 25 ] Descartes’s Blackjack: How many integer lattice points (points of the form ( m, n ) for integers m and n ) lie inside or on the boundary of the disk of radius 2009 centered at the origin? If your answer is higher than the correct answer, you will receive 0 points. If your answer is d less than the correct answer, your score on this problem will be the larger of 0 and 25 − b d/ 10 c . Answer: 12679605