# subset_sum

subset_sum_backtrack, a MATLAB code which uses backtracking to seek solutions of the subset sum problem, in which it is desired to find a subset of integers which has a given sum.

### Languages:

subset_sum_backtrack is available in a C version and a C++ version and a Fortran90 version and a MATLAB version and an Octave version and a Python version.

### Related Data and Programs:

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subset_sum, a MATLAB code which seeks solutions of the subset sum problem, in which it is desired to find a subset of integers which has a given sum.

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### Reference:

1. Alexander Dewdney,
The Turing Omnibus,
Freeman, 1989,
ISBN13: 9780716781547,
LC: QA76.D45.
2. Donald Kreher, Douglas Simpson,
Combinatorial Algorithms,
CRC Press, 1998,
ISBN: 0-8493-3988-X,
LC: QA164.K73.
3. Silvano Martello, Paolo Toth,
Knapsack Problems: Algorithms and Computer Implementations,
Wiley, 1990,
ISBN: 0-471-92420-2,
LC: QA267.7.M37.

### Source Code:

• subset_sum_backtrack.m, seeks a subset of a set that has a given sum, using a backtracking approach and a mask vector.