24小时热门版块排行榜    

查看: 947  |  回复: 2
当前只显示满足指定条件的回帖,点击这里查看本话题的所有回帖

shuh2010

银虫 (初入文坛)


[交流] 【求助】求助四阶幻方的算法?

四阶幻方的算法?
即:1    2     3      4
       5    6      7    8
      9    10    11   12  
     13    14     15   16
行加和=34   列加和=34      对角线加和=34

[ Last edited by shuh2010 on 2010-12-31 at 15:49 ]

我想知道的是算法?为什么这么编程,而不是具体程序?

[ Last edited by shuh2010 on 2011-1-27 at 17:10 ]
回复此楼
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖

xiegangmai

版主 (职业作家)


★ ★
余泽成(金币+2):辛苦了,欢迎常来程序语言版! 2011-01-07 11:26:04
引用回帖:
Originally posted by shuh2010 at 2010-12-28 14:47:34:
四阶幻方的算法?
即:1    2     3      4
       5    6      7    8
      9    10    11   12  
     13    14     15   16
行加和=34   列加和=34      对角线加和=34

[ Last edited by shuh2010 o ...

这有一段C++的代码,生成的是<= 20的奇数魔方矩阵,可以参考。
http://zhidao.baidu.com/question/132129452.html
3楼2011-01-06 15:31:44
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖
查看全部 3 个回答

xiegangmai

版主 (职业作家)


★ ★ ★ ★
shuh2010(金币+1):谢谢参与
余泽成(金币+3):谢谢参与应助! 2011-01-07 11:25:47
shuh2010(金币+50): 2011-05-24 10:15:20
引用回帖:
Originally posted by shuh2010 at 2010-12-28 14:47:34:
四阶幻方的算法?
即:1    2     3      4
       5    6      7    8
      9    10    11   12  
     13    14     15   16
行加和=34   列加和=34      对角线加和=34

[ Last edited by shuh2010 o ...

MATLAB中有这样的函数magic,算法可参照http://www.docin.com/p-48553445.html。

MATLAB中的magic代码:
CODE:
function M = magic(n)
%MAGIC  Magic square.
%   MAGIC(N) is an N-by-N matrix constructed from the integers
%   1 through N^2 with equal row, column, and diagonal sums.
%   Produces valid magic squares for all N > 0 except N = 2.

%   Copyright 1984-2002 The MathWorks, Inc.
%   $Revision: 5.15 $  $Date: 2002/04/15 03:44:23 $

% Historically, MATLAB's magic was a built-in function.
% This M-file uses a new algorithm to generate the same matrices.

n = floor(real(double(n(1))));

% Odd order.
if mod(n,2) == 1
   [J,I] = meshgrid(1:n);
   A = mod(I+J-(n+3)/2,n);
   B = mod(I+2*J-2,n);
   M = n*A + B + 1;

% Doubly even order.
elseif mod(n,4) == 0
   [J,I] = meshgrid(1:n);
   K = fix(mod(I,4)/2) == fix(mod(J,4)/2);
   M = reshape(1:n*n,n,n)';
   M(K) = n*n+1 - M(K);

% Singly even order.
else
   p = n/2;
   M = magic(p);
   M = [M M+2*p^2; M+3*p^2 M+p^2];
   if n == 2, return, end
   i = (1:p)';
   k = (n-2)/4;
   j = [1:k (n-k+2):n];
   M([i; i+p],j) = M([i+p; i],j);
   i = k+1;
   j = [1 i];
   M([i; i+p],j) = M([i+p; i],j);
end

2楼2011-01-06 14:57:59
已阅   回复此楼   关注TA 给TA发消息 送TA红花 TA的回帖
普通表情 龙 兔 虎 猫 高级回复 (可上传附件)
最具人气热帖推荐 [查看全部] 作者 回/看 最后发表
[考博] 售SCI一区文章,我:8.O.55.1.O.54,科目齐全,可伽急 +3 ELBZ6WwEaRj6 2026-11-04 10/500 2026-11-06 02:24 by qL1cU46YIdK0
[硕博家园] 售一区SCI文章T0P,我:8O.551.O54,科目全,可十急 +4 ELBZ6WwEaRj6 2026-11-04 8/400 2026-11-06 02:24 by qL1cU46YIdK0
[基金申请] 售SCI一区文章,我:8O5.5.1.O5.4,科目全,可伽急 +4 ELBZ6WwEaRj6 2026-11-04 10/500 2026-11-06 02:24 by qL1cU46YIdK0
[公派出国] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +3 ELBZ6WwEaRj6 2026-11-04 9/450 2026-11-06 02:15 by qL1cU46YIdK0
[硕博家园] 售SCI一区文章,我:8.O.55.1.O.54,科目齐全,可伽急 +3 ELBZ6WwEaRj6 2026-11-04 11/550 2026-11-06 02:13 by qL1cU46YIdK0
[考博] 售一区SCI文章T0P,我:8O.551.O54,科目全,可十急 +4 ttH3f1oA6ace 2026-11-04 7/350 2026-11-06 02:13 by qL1cU46YIdK0
[考研] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +4 ttH3f1oA6ace 2026-11-04 13/650 2026-11-06 02:02 by qL1cU46YIdK0
[公派出国] 售SCI一区文章,我:8.O.551.O.5.4,科目全,可伽急 +4 ttH3f1oA6ace 2026-11-04 9/450 2026-11-06 02:02 by qL1cU46YIdK0
[考研] 售SCI一区T0P文章,我:8O.55.1.O.5.4,科目齐全,可+急 +6 ncTVBM6AOJHF 2026-11-04 12/600 2026-11-06 01:40 by qL1cU46YIdK0
[硕博家园] 售SCI一区文章,我:8.O.551.O.5.4,科目全,可伽急 +5 ncTVBM6AOJHF 2026-11-04 10/500 2026-11-06 01:40 by qL1cU46YIdK0
[公派出国] 售SCI-T0P文章,我:8O.5.5.1.O.54,科目齐全,可+急 +6 ncTVBM6AOJHF 2026-11-04 10/500 2026-11-06 01:31 by qL1cU46YIdK0
[公派出国] 售SCI文章,我:8O5.5.1.O.54,科目齐全,可+急 +7 ncTVBM6AOJHF 2026-11-04 21/1050 2026-11-06 01:29 by qL1cU46YIdK0
[硕博家园] 售SCI一区T0P文章,我:8O.55.1.O.54,科目全,可伽急 +5 ncTVBM6AOJHF 2026-11-04 11/550 2026-11-06 01:20 by qL1cU46YIdK0
[考博] 售SCI一区文章,我:8O5.5.1.O5.4,科目全,可伽急 +3 ELBZ6WwEaRj6 2026-11-05 4/200 2026-11-05 23:39 by qL1cU46YIdK0
[考研] 售SCI一区T0P文章,我:8.O.55.1.O.54,科目齐全,可+急 +3 ELBZ6WwEaRj6 2026-11-05 6/300 2026-11-05 23:30 by qL1cU46YIdK0
[考研] 售SCI一区文章,我:8.O.551.O.5.4,科目全,可伽急 +3 ELBZ6WwEaRj6 2026-11-04 9/450 2026-11-05 23:17 by qL1cU46YIdK0
[公派出国] 售SCI一区T0P文章,我:8O.55.1.O.5.4,科目齐全,可+急 +5 ncTVBM6AOJHF 2026-11-04 13/650 2026-11-05 22:44 by qL1cU46YIdK0
[考博] 售SCI一区T0P文章,我:8.O55.1.O.54,科目全,可十急 +6 ncTVBM6AOJHF 2026-11-04 15/750 2026-11-05 22:44 by qL1cU46YIdK0
[公派出国] 售一区SCI文章T0P,我:8O.551.O54,科目全,可十急 +3 ELBZ6WwEaRj6 2026-11-05 3/150 2026-11-05 21:05 by qL1cU46YIdK0
[教师之家] 售SCI一区T0P文章,我:8O.55.1.O.54,科目全,可伽急 +4 ncTVBM6AOJHF 2026-11-04 12/600 2026-11-05 11:10 by PYZmcHr5kSaq
信息提示
请填处理意见