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HMMT 十一月 2008 · GEN2 赛 · 第 1 题

HMMT November 2008 — GEN2 Round — Problem 1

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. [ 3 ] Joe B. first places the black king in one corner of the board. In how many of the 35 remainingsquares can he place a white bishop so that it does not check the black king?
解析

英文解析

  1. [ 3 ] Joe B. first places the black king in one corner of the board. In how many of the 35 remainingsquares can he place a white bishop so that it does not check the black king?
    Answer: 30 Any square not on the diagonal containing the corner is a possible location, and thereare 36 − 6 = 30 such squares. 1