Splitting an array in every possible combination
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Hello,
I am attempting to split an array in all possible combination. I have illustrated it in the figure given below.
Depending on the number of rows, I wish to split the given array in all possible combinations.
One of the condition is Number of rows <= Number of elements in given array
After toiling for 3 days, I am posting this here.
Kindly guide me on how to accomplish this task.
Thanks for your time and valuable guidance.
12 Commenti
Jonas
il 14 Lug 2022
@Selva Kumar, i know that it gives only one solution, i also wrote that it gives one at a time. but all of the solutions are at least valid. it should just be a help how the problem could finally be solved, that's why the code is a comment and not in the answer section
Jonas
il 14 Lug 2022
one 'solution' could be to run the script multiple times and collect unique solutions. but we still do not know restrictions on the number of columns
Risposta accettata
Voss
il 15 Lug 2022
Modificato: Voss
il 15 Lug 2022
I believe this will do the required "splitting" of the array:
format compact
x = 1:6;
disp(split_x(x,1));
disp(split_x(x,2));
disp(split_x(x,3)); % scroll down to see them all
disp(split_x(x,4)); % scroll down to see them all
disp(split_x(x,5)); % scroll down to see them all
disp(split_x(x,6));
function x_split = split_x(x,n_rows)
N = numel(x);
n_cols = N-n_rows+1;
split_idx = nchoosek(1:N-1,n_rows-1);
n_combos = size(split_idx,1);
split_idx = [zeros(n_combos,1) split_idx N*ones(n_combos,1)];
n_split = diff(split_idx,1,2);
x_split = zeros(n_rows,n_cols,n_combos);
for ii = 1:n_combos
for jj = 1:n_rows
x_split(jj,1:n_split(ii,jj),ii) = x(split_idx(ii,jj)+(1:n_split(ii,jj)));
end
end
end
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