奇数阶魔方问题

问题: 一个 n 阶方阵的元素是1,2,...,n^2,它的每行,每列和2条对角线上元素的和相等,这样
的方阵叫魔方。n为奇数时我们有1种构造方法,叫做“右上方” ,例如下面给出n=3,5,7时的魔方.
3
8 1 6
3 5 7
4 9 2
5
17 24 1 8 15
23 5 7 14 16
4 6 13 20 22
10 12 19 21 3
11 18 25 2 9
7
30 39 48 1 10 19 28
38 47 7 9 18 27 29
46 6 8 17 26 35 37
5 14 16 25 34 36 45
13 15 24 33 42 44 4
21 23 32 41 43 3 12
22 31 40 49 2 11 20
第1行中间的数总是1,最后1行中间的数是n^2,他的右边是2,从这三个魔方,你可看出“右
上方”是何意。

Input
包含多组数据,首先输入T,表示有T组数据.每组数据1行给出n(3<=n<=19)是奇数。
Output
对于每组数据,输出n阶魔方,每个数占4格,右对齐
 
Sample Input
2
3
5
Sample Output
   8   1   6
   3   5   7
   4   9   2
  17  24   1   8  15
  23   5   7  14  16
   4   6  13  20  22
  10  12  19  21   3
  11  18  25   2   9

回答:

#include<stdio.h>
#include<stdlib.h>
#define max 20
int main()
{
    int n;
    scanf("%d",&n);
    while(n--)
    {
        int a[max][max]={0};
        int i,j,x=1,y,m;
        scanf("%d",&m);
        a[1][(m+1)/2]=1;
        y=(m+1)/2;
        for(i=2;i<=m*m;i++)
        {
            if(x-1>0&&y-1>0)
            {
               x=x-1;
               y=y-1;
               if(a[x][y]==0)
                  a[x][y]=i;
               else {
                 x=(x+2)%m;
                 y=(y+1)%m;
                 if(x==0) x=x+m;
                 if(y==0) y=y+m;
                 a[x][y]=i;
                     }
                   continue;
            }
         if(x-1<=0&&y-1>0)
            {
              x=x-1+m;
              y=y-1;
               if(a[x][y]==0)
                  a[x][y]=i;
            else {
                 x=(x+2)%m;
                 y=(y+1)%m;
                  if(x==0) x=x+m;
                 if(y==0) y=y+m;
                 a[x][y]=i;
                 }
             continue;
            }
         if(x-1>0&&y-1<=0)
            {
             x=x-1;
             y=y-1+m;
             if(a[x][y]==0)
                  {a[x][y]=i;}
             else {
                    x=(x+2)%m;
                    y=(y+1)%m;
                    if(x==0) x=x+m;
                    if(y==0) y=y+m;
                    a[x][y]=i;
                 }
                 continue;
            }
          if(x-1<=0&&y-1<=0)
            {
             x=x-1+m;
             y=y-1+m;
             if(a[x][y]==0)
                  a[x][y]=i;
            else {
                 x=(x+2)%m;
                 y=(y+1)%m;
                 if(x==0) x=x+m;
                 if(y==0) y=y+m;
                 a[x][y]=i;
                 }
              continue;
            }
         }
        for(i=1;i<=m;i++)
        {
            for(j=m;j>=1;j--)
            {
                printf("%4d",a[i][j]);
            }
           printf("\n");
        }
    }
    return 0;
}

posted @ 2015-05-11 15:59  chaoer  阅读(526)  评论(1编辑  收藏  举报