traversal - Traverse Rectangular Matrix in Diagonal strips

Question

I need the same thing done here, but to work with any matrix, not just a square one. Also, the direction of traversal needs to be opposite. I tried to edit the code I found there, but couldn't figure it out.

Thanks.

Answer 1

I remember writing that. I think for a rectangular matrix you'd need a few minor changes and one more line of incomprehensible nonsense:

#include <stdio.h>

int main()
{
    int x[3][4] = { 1,  2,  3,  4,
                    5,  6,  7,  8,
                    9, 10, 11, 12};
    int m = 3;
    int n = 4;
    for (int slice = 0; slice < m + n - 1; ++slice) {
        printf("Slice %d: ", slice);
        int z1 = slice < n ? 0 : slice - n + 1;
        int z2 = slice < m ? 0 : slice - m + 1;
        for (int j = slice - z2; j >= z1; --j) {
                printf("%d ", x[j][slice - j]);
        }
        printf("
");
    }
    return 0;
}

Output:

Slice 0: 1
Slice 1: 5 2
Slice 2: 9 6 3
Slice 3: 10 7 4
Slice 4: 11 8
Slice 5: 12

To briefly explain how it works, each slice is a diagonal starting from the first column, going diagonally up-right and ending on the first row (originally down-left, but now swapped as a result of a comment from the poster).

z2 says how many items must be skipped before the first number should be printed. This is zero for the first m slices and then increases by one for each remaining slice. z1 is how many items should be skipped at the end, again starting at zero for the first m slices, and increasing by one for the remaining slices.