SUBSET_SUM is a MATLAB program which seeks solutions of the subset sum problem.
The task is to compute a sum S using a selected subset of a given set of N weights.
SUBSET_SUM_NEXT works by backtracking, returning all possible solutions one at a time, keeping track of the selected weights using a 0/1 mask vector of size N.
SUBSET_SUM_TABLE works by a kind of dynamic programming approach, constructing a table of all possible sums from 1 to S. The storage required is N * S, so for large S this can be an issue.
SUBSET_SUM_FIND works by brute force, trying every possible subset to see if it sums to the desired value. It uses the bits of a 32 bit integer to keep track of the possibilities, and hence cannot work with more N = 31 weights.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
SUBSET_SUM is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version and a Python version.
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You can go up one level to the MATLAB source codes.