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HMMT 十一月 2022 · 冲刺赛 · 第 36 题

HMMT November 2022 — Guts Round — Problem 36

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [20] Consider all questions on this year’s contest that ask for a single real-valued answer (excluding this one). Let M be the median of these answers. Estimate M . E M 4 An estimate of E will earn ⌊ 20 min( , ) ⌋ points. M E
解析
  1. [20] Consider all questions on this year’s contest that ask for a single real-valued answer (excluding this one). Let M be the median of these answers. Estimate M . E M 4 An estimate of E will earn ⌊ 20 min( , ) ⌋ points. M E Proposed by: Gabriel Wu, Jerry Liang √ 4 Answer: M = 8 + 8 3 ≈ 18 . 5285921 Solution: Looking back to the answers of previous problems in the round (or other rounds) can give you to a rough estimate.