Creating all possible combination of 0 and 1 in 2D array

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Luqman Saleem
Luqman Saleem 2019-12-24
评论： the cyclist 2023-1-10
Let the size of 2D matrix is m (n rows, m cols).
How can I create all possible combinations of 0 and 1 in this matrix?

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回答（2 个）

the cyclist
the cyclist 2019-12-24
编辑：the cyclist 2023-1-10
% Example choice of m and n
n = 2;
m = 3;
allCombos = reshape((dec2bin(0:2^(n*m)-1)-'0')',n,m,[]);
allCombos is a 3-dimensional n*m*X array, where each slice in the 3rd dimension is one of the possible matrices.
Note that if m and n get large, you will quickly run out of memory. Combinatorics is a cruel mistress.
the cyclist
the cyclist 2019-12-25
Did you mean you just want each possible unique row, rather than each possible unique matrix?
justRows = dec2bin(0:2^m-1)-'0'
where m is the number of columns.
If you mean something else, please give more info, because I can't think of any other interpretation of what you mean.
  2 个评论
the cyclist
the cyclist 2023-1-10
Is the other answer I posted what you want? It gives each unique possible nxm matrix of 0's and 1's.
(I did a small fix in that code just now.)

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