在矩阵中形成线圈的 C++ 程序

给定一个正整数 n，它表示一个 4n x 4n 矩阵的维度，其值从 1 到 n 从左到右、从上到下填充。从矩阵中形成两个线圈并打印线圈。

例子：

Input  : n = 1;
Output : Coil 1 : 10 6 2 3 4 8 12 16 
         Coil 2 : 7 11 15 14 13 9 5 1
Explanation : Matrix is 
1  2  3  4 
5  6  7  8 
9  10 11 12 
13 14 15 16

Input  : n = 2;
Output : Coil 1 : 36 28 20 21 22 30 38 46 54 
                  53 52 51 50 42 34 26 18 10 
                  2 3 4 5 6 7 8 16 24 32 40 
                  48 56 64 
        Coil 2 : 29 37 45 44 43 35 27 19 11 12 
                 13 14 15 23 31 39 47 55 63 62 
                 61 60 59 58 57 49 41 33 25 17
                 9 1

矩阵中的总元素是 16n ² 。所有元件都分为两个线圈。每个线圈有 8n ^{2 个}元素。我们制作了两个这种大小的数组。我们首先通过按给定顺序遍历它们来填充线圈 1 中的元素。一旦我们在线圈1中填充了元素，我们可以使用公式线圈2[i] = 16*n*n + 1 -coil1[i]来获取其他线圈2的元素。

C++

// C++ program to print 2 coils of a
// 4n x 4n matrix.
#include
using namespace std;
  
// Print coils in a matrix of size 4n x 4n 
void printCoils(int n)
{
    // Number of elements in each coil
    int m = 8*n*n;
  
    // Let us fill elements in coil 1.
    int coil1[m];
  
    // First element of coil1
    // 4*n*2*n + 2*n;
    coil1[0] = 8*n*n + 2*n;
    int curr = coil1[0];
  
    int nflg = 1, step = 2;
  
    // Fill remaining m-1 elements in coil1[]
    int index = 1;
    while (index < m)
    {
        // Fill elements of current step from
        // down to up
        for (int i=0; i= m)
                break;
        }
        if (index >= m)
            break;
  
        // Fill elements of current step from
        // up to down.
        for (int i=0; i= m)
                break;
        }
        nflg = nflg*(-1);
        step += 2;
    }
  
    /* get coil2 from coil1 */
    int coil2[m];
    for (int i=0; i<8*n*n; i++)
        coil2[i] = 16*n*n + 1 -coil1[i];
  
    // Print both coils
    cout << "Coil 1 : ";
    for(int i=0; i<8*n*n; i++)
        cout << coil1[i] << " ";
    cout << "
Coil 2 : ";
    for (int i=0; i<8*n*n; i++)
        cout << coil2[i] << " ";
}
  
// Driver code
int main()
{
    int n = 1;
    printCoils(n);
    return 0;
}

输出：

Coil 1 : 10 6 2 3 4 8 12 16 
Coil 2 : 7 11 15 14 13 9 5 1

有关更多详细信息，请参阅有关在矩阵中形成线圈的完整文章！