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HMMT 十一月 2016 · 冲刺赛 · 第 34 题

HMMT November 2016 — Guts Round — Problem 34

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 20 ] Find the sum of the ages of everyone who wrote a problem for this year’s HMMT Novembercontest. If your answer is X and the actual value is Y , your score will be max(0 , 20 − | X − Y | )
解析

英文解析

  1. [ 20 ] Find the sum of the ages of everyone who wrote a problem for this year’s HMMT Novembercontest. If your answer is X and the actual value is Y , your score will be max(0 , 20 − | X − Y | )
    Proposed by: Allen Liu
    Answer: 258
    There was one problem for which I could not determine author information, so I set the author asone of the problem czars at random. Then, I ran the following command on a folder containing Te xsolutions files to all four contests:
    evan@Arch mega ~/Downloads/November
    $ grep --no-filename "Proposed by: " *.tex | sort | uniq -c
    15 {\em Proposed by: Allen Liu }
    1 {\em Proposed by: Brice Huang }
    2 {\em Proposed by: Christopher Shao }
    2 {\em Proposed by: Daniel Qu }
    21 {\em Proposed by: Eshaan Nichani }
    3 {\em Proposed by: Evan Chen }
    9 {\em Proposed by: Henrik Boecken }
    2 {\em Proposed by: Kevin Sun }
    2 {\em Proposed by: Kevin Yang }
    1 {\em Proposed by: Meghal Gupta }
    1 {\em Proposed by: Rachel Zhang }
    1 {\em Proposed by: Sam Korsky }
    3 {\em Proposed by: Saranesh Prembabu }
    3 {\em Proposed by: Shyam Narayanan }
    This gave the counts of problem proposals; there were 14 distinct authors of problems for November
  2. Summing their ages (concealed for privacy) gives 258.