How to get the corresponding logic value based on the sum of vector elements

I have a vector which is [1,1,2,3,5]; I want to loop through all the elements in the vector to check whether the sum of each elements is equal to my input. After that put the corresponfding index of the possible answer as a reference to a new vector which retrun the logic value. For example, if the inout is 6, the corresponding logic value suppose to be [1,0,0,0,1] or anyother combination. The problem is if the value is bigger than 8 it need the sum of 3 elements in vector. How I can get the same answer when the input need three elements add together?

Answer 1

[Andrei Bobrov]

A = [1,1,2,3,5];
my_input = 5;

out = [];
n = numel(A);
ii = 1:n;
for jj = 1:n
    k = nchoosek(ii,jj);
    r = sum(reshape(A(k),size(k)),2);
    lo = r == my_input;
    if any(lo)
        p = k(lo,:);
        m = size(p,1);
        out = [out;accumarray([repmat(1:m,jj,1),p(:)],1,[m,n])];
    end
end

[Zhou Liangyu]

It return me the correct answer but I do not understand about the use of ' k = nchoosek(ii,jj);r = sum(reshape(A(k),size(k)),2);'those two steps. Could you please explain it a little bit?

[Andrei Bobrov]

Please read 'help' of the MATLAB about nchoosek, reshape.

nchoosek(v,k) - returns a matrix containing all possible combinations of the elements of vector v taken k at a time.

reshape(A,sz) - reshapes A using the size vector, sz, to define size(B). For example, reshape(A,[2,3]) reshapes A into a 2-by-3 matrix. sz must contain at least 2 elements, and prod(sz) must be the same as numel(A).

Row

r = sum(reshape(A(k),size(k)),2);

we can change on block:

if jj == n
    AA = Ak(k).';
else
    AA = Ak(k);
end
r = sum(AA,2);

here

Ak = A(:);

[Zhou Liangyu]

Thank you very much.