How i can generate 2D matrix with unique values using 2D or 1D logistic map ?

Hello Matlab community

I want to generate (n*n) matrix with unique values for each row and each column and the range of values in each cell must be between 0 and n-1 using 2D or 1D logistic map.

for example, if the size of matrix is 4*4 the output must be as below:

0 3 2 1

1 2 0 3

3 0 1 2

2 1 3 0

and i want this output is fixed for each run.

Answer 1

[Kush]

A simple solution to this could be creating an array of size n with values ranging from 0 to n-1, followed by appending this array after circular shifting into a matrix, this allows each element to be unique in its row as well as its column.

n = 4;
arr = 0:n-1;
matrix = zeros(n,n);
for i = 1:n
   matrix(i,:) = circshift(arr,i);
end
matrix

matrix = 4×4

3 0 1 2 2 3 0 1 1 2 3 0 0 1 2 3

please find the documentation for circshift here:

https://in.mathworks.com/help/matlab/ref/circshift.html