HMMT 二月 2009 · 冲刺赛 · 第 34 题
HMMT February 2009 — Guts Round — Problem 34
题目详情
英文原题
- [ ≤ 25 ] How many integer lattice points (points of the form ( m, n ) for integers m and n ) lie inside oron 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 thanthe correct answer, your score on this problem will be the larger of 0 and 25 − b d/ 10 c .
解析
英文解析
- [ ≤ 25 ] Descartes’s Blackjack: How many integer lattice points (points of the form ( m, n ) for integersm 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 thanthe correct answer, your score on this problem will be the larger of 0 and 25 − b d/ 10 c .
Answer: 12679605