ata.niazov ata.niazov - 2 months ago 14
C Question

How to print all square submatrices of square matrix in C?

Please, help me to find and print all square submatrices of square matrix from big to small square matrices in C programming language

I wrote code that works wrong:

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

int i,j;
int sub_mtrx_size;

for(sub_mtrx_size = mtrx_size; sub_mtrx_size > 1 ; sub_mtrx_size--)
{
for(i = 0; i < sub_mtrx_size; i++)
{
for(j = 0; j < sub_mtrx_size; j++)
{
printf("%3d ", mat[i][j]);
}
printf("\n");
}
printf("\n");

}
return 0;


Here I need to find all 8x8, 7x7, 6x6, 5x5, 4x4, 3x3 and 2x2 submatrices.

Answer

Your code was just printing a single sub-matrix for each size, positioned in the upper-left corner of the matrix. You need to add i and j offsets to get the sub-matrices at all positions:

#include <stdio.h>

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

    int i, j, ioff, joff, off_cnt;
    int sub_mtrx_size;

    for(sub_mtrx_size = mtrx_size; sub_mtrx_size > 1 ; sub_mtrx_size--) {
        off_cnt = mtrx_size - sub_mtrx_size + 1;
        for (ioff = 0; ioff < off_cnt; ioff++) {
            for (joff = 0; joff < off_cnt; joff++) {
                for (i = 0; i < sub_mtrx_size; i++) {
                    for (j = 0; j < sub_mtrx_size; j++) {
                        printf("%3d ", mat[i+ioff][j+joff]);
                    }
                    printf("\n");
                }
                printf("\n");
            }
        }
    }

    return 0;
}
Comments