HMMT 二月 2025 · 冲刺赛 · 第 33 题

HMMT February 2025 — Guts Round — Problem 33

[20] Estimate the total number of pages that teams submitted to the Team Round this year. (All pages associated to at least one problem number count as submitted pages, even blank cover sheets for a problem.) 2 / 3 | E − A | Submit a positive integer E . If the correct answer is A , you will receive max 0 , 20 1 − 100 points.

解析

[20] Estimate the total number of pages that teams submitted to the Team Round this year. (All pages associated to at least one problem number count as submitted pages, even blank cover sheets for a problem.) 2 / 3 | E − A | Submit a positive integer E . If the correct answer is A , you will receive max 0 , 20 1 − 100 points. Proposed by: Derek Liu Answer: 1003 Solution: Including individual teams, 106 teams registered this year, of which 101 teams submitted a nonzero number of pages to the Team Round. A surprisingly accurate estimate of 1000, which scores 19 points, can be obtained by simply assuming 100 teams competed and each team submitted an average of one page per problem. (Not every team submits all of their cover pages, which mitigates the effect of multiple-page submissions.)