HMMT 二月 2023 · 冲刺赛 · 第 36 题

HMMT February 2023 — Guts Round — Problem 36

[25] After the Guts round ends, the HMMT organizers will calculate A , the total number of points earned over all participating teams on questions 33, 34, and 35 of this round (that is, the other estimation questions). Estimate A . Submit a positive integer E . You will receive max(0 , 25 − 3 · | E − A | ) points. (If you do not submit a positive integer, you will receive zero points for this question.) For your information, there are about 70 teams competing. F . A . 1 B . F . 2 C . F . 3 D . F . 4 E . F . 5

解析

[25] After the Guts round ends, the HMMT organizers will calculate A , the total number of points earned over all participating teams on questions 33, 34, and 35 of this round (that is, the other estimation questions). Estimate A . Submit a positive integer E . You will receive max(0 , 25 − 3 · | E − A | ) points. (If you do not submit a positive integer, you will receive zero points for this question.) For your information, there are about 70 teams competing. Proposed by: Luke Robitaille, Sean Li Answer: 13 Solution: Only 8 teams scored a positive number of combined points on questions 33, 34, and 35. A total of 3 points were scored on question 33, 6 points on question 34, and 4 points on question 35. Extended results can be found in our archive.