HMMT 二月 2003 · 冲刺赛 · 第 43 题
HMMT February 2003 — Guts Round — Problem 43
题目详情
英文原题
- 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
英文解析
- 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-documentedin the literature. A better-known relative is Undercut, described by Douglas Hofstadterin his book Metamagical Themas: Questing for the Essence of Mind and Pattern . Inthis game, two players each choose an integer in a specified interval and receive thatmany points — unless the two numbers differ by 1, in which case the lower playerreceives a number of points equal to the sum of the two numbers. See, for example,
http://mathforum.org/mam/96/undercut/ .