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HMMT 十一月 2023 · 冲刺赛 · 第 34 题

HMMT November 2023 — Guts Round — Problem 34

专题
Discrete Math / 离散数学
难度
L3
来源
HMMT

题目详情

  1. [20] Compute the smallest positive integer that does not appear in any problem statement on any round at HMMT November 2023. Submit a positive integer A . If the correct answer is C , you will receive max(0 , 20 − 5 | A − C | ) points.
解析
  1. [20] Compute the smallest positive integer that does not appear in any problem statement on any round at HMMT November 2023. Submit a positive integer A . If the correct answer is C , you will receive max(0 , 20 − 5 | A − C | ) points. Proposed by: Arul Kolla Answer: 22 Solution: The number 22 does not appear on any round. On the other hand, the numbers 1 through 21 appear as follows. Number Round Problem 1 Guts 21 2 Guts 13 3 Guts 17 4 Guts 13 5 Guts 14 6 Guts 2 7 Guts 10 8 Guts 13 9 Guts 28 10 Guts 10 11 General 3 12 Guts 32 13 Theme 8 14 Guts 19 15 Guts 17 16 Guts 30 17 Guts 20 18 Guts 2 19 Guts 33 20 Guts 3 21 Team 7