对于单元格A的每个向量，如何查找单元格B的向量中不包含的所有可能组成部分的组合？

Question

For each vector of the cell A , How to find all possible combinations of its components that are not contained in vectors of the cell B ?

   A = {[2 3 6 21],[66 4 2 7],[84 56 66 47 45]};
   B = {[5 6 9 20 21],[7 85 14 2 3],[5 66 84 10 23 35 56],[5 6 87 14 21 29]};

For A{1} , all possible combinations which satisfy the condition:

{[2 6],[2 21],[3 6],[3 21],[2 6 21],[2 3 6],[2 3 21],[3 6 21],[2 3 6 21]}

[2 3] is contained in B{2}

[6 21] is contained in B{1}

Answer 1

Try this:

C = cell(1, numel(A));
for ii = 1:numel(A)
    aux = arrayfun(@(x) num2cell(nchoosek(A{ii}, x), 2)', 1:numel(A{ii}), 'Un', 0);
    aux = [aux{:}];
    C{ii} = aux(~cellfun(@(a) any(cellfun(@(b) all(ismember(a, b)), B)), aux));
end

The result will be in C . Run celldisp(C{1}) to see the result for A{1} , for example.

This code takes every vector in A and find all possible combinations using nchoosek . Then, it checks if any combination has all values contained on any vector of B , returning the remaining combinations which are ont in B and putting them into C .