HMMT 二月 2003 · 冲刺赛 · 第 43 题
HMMT February 2003 — Guts Round — Problem 43
题目详情
- Write down an integer N between 0 and 10, inclusive. You will receive N points — unless some other team writes down the same N , in which case you receive nothing.
解析
- Write down an integer N between 0 and 10, inclusive. You will receive N points — unless some other team writes down the same N , in which case you receive nothing. Comments: Somewhat surprisingly, this game does not appear to be well-documented in the literature. A better-known relative is Undercut, described by Douglas Hofstadter in his book Metamagical Themas: Questing for the Essence of Mind and Pattern . In this game, two players each choose an integer in a specified interval and receive that many points — unless the two numbers differ by 1, in which case the lower player receives a number of points equal to the sum of the two numbers. See, for example, http://mathforum.org/mam/96/undercut/ .