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标题: IBM10月 [打印本页]

作者: fzy 时间: 2005-10-3 23:34
标题: IBM10月

A矩阵的元素a(i,j)是整数且有以下性质：对于任何不同的行i1及i2和不同的列j1及j2，元素和a(i1,j1)+a(i2,j2)跟元素和a(i1,j2)+a(i2,j1)是不相等的。我们有兴趣的是a(i,j)取值范围愈窄愈好。以下例子是一个3x3的A矩阵而其元素只取自{0,1}：

0 0 1
0 1 0
1 0 0

请作出
一个5x5的A矩阵而其元素只取自{0,1,2}
一个7x7的A矩阵而其元素只取自{0,1,2,3,4}
一个11x11的A矩阵而其元素只取自{0,1,…,6,7}
一个13x13的A矩阵而其元素只取自{0,1,…,7,8}

作者: 野菜花 时间: 2005-10-7 04:25
标题: 5X5 的一个解

00221

02102

20012

21200

12020

作者: sean9991 时间: 2005-10-7 17:32
标题: 回复：5X5 的一个解

check 2nd and 3rd rows, 4th and 5th rows

作者: 野菜花 时间: 2005-10-7 18:11
标题: 回复：回复：5X5 的一个解

I have checked it again, could not find the errors, would you just show one 2X2 matrix? Thanks!

作者: sean9991 时间: 2005-10-10 19:05
标题: oops, I misunderstood the question

oops, I misunderstood the question

作者: fzy 时间: 2005-10-10 19:13
标题: 回复：IBM10月

I actually did not even try the problem. I posted it not because I like it, the reason was I felt IBN ran out of good problems and had to use silly problems like this to fill the space.

I apologize for not stating it in the beginning, and appreciate 野菜花's solution.

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