There is an 8*8 chess board in which two diagnolly opposite corners have been cut off. You are given 31 dominos, and a single domino can cover exactly two squares. Can you use the 31 dominos to cover the entire board? Prove your answer.
不可能,棋盘的格子黑白相间,去掉的对角的颜色是一致的,而每个多米诺骨牌一次盖住1黑1白,因此31个牌盖住31黑和31白,而实际上是30黑32白或者32黑30白,因此不可能
Cracking the Coding Interview 6.2,布布扣,bubuko.com
Cracking the Coding Interview 6.2
原文地址:http://www.cnblogs.com/johnsblog/p/3924011.html