How to rearrange matrix with the given matrix?

Hi

let consider, we have a given matrix.

Initial given matrix:

columns

rows 2 5

4 3

1 6

7 8

I want to reshape or rearrange matrix.(it can return any matrix but it should not have pair (2,5),(4,3),(1.6),(7,8)). But should able to re-generate for test validity. The matrix which i want or expected is

columns

rows 2 3/1/6/7/8 (any value but not 5) (let i select 6)

4 5/1/7/8 (any value but not 3, (2,6)) (let I select 8)

1 3/5/7 (any value but not 6,(2,6),(4,8)) (let I select 5)

7 3 (only one value left )

So the above matrix look like:

columns

rows 2 6

4 8

1 5

7 3

[Rik]

There is no guarantee there is a solution for every input.

What did you try yourself?

Answer 1

[Walter Roberson]

circshift() the second column.

Or use trial and error:

V = [5; 3; 6; 8];
pV = perms(V);
valids = pV(all(pV ~= V.',2), :)

valids = 9×4

8 6 3 5 8 6 5 3 8 5 3 6 6 8 3 5 6 8 5 3 6 5 8 3 3 8 5 6 3 6 8 5 3 5 8 6