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HMMT 二月 2020 · 冲刺赛 · 第 1 题

HMMT February 2020 — Guts Round — Problem 1

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [4] Submit an integer x as your answer to this problem. The number of points you receive will be max(0 , 8 − | 8 x − 100 | ). (Non-integer answers will be given 0 points.)
解析
  1. [4] Submit an integer x as your answer to this problem. The number of points you receive will be max(0 , 8 − | 8 x − 100 | ). (Non-integer answers will be given 0 points.) Proposed by: Andrew Gu, Andrew Lin Answer: 12 or 13 100 Solution: We want to minimize | 8 x − 100 | , so x should equal either the floor or the ceiling of = 12 . 5. 8 Note that no other answers receive any points, while both 12 and 13 receive 4 points.