SUBSET_SUM_SERIAL is a FORTRAN90 library which illustrates how a subset sum problem can be solved by exhaustive search.
We are given a collection of (21) weights and a target value (24639098). We seek a combination of the weights which adds up to the target value.
The function subset_sum_serial.m simply considers every possible subset of the weights, determines its sum, and compares that to the target value. The first case in which the target value is matched is returned as the solution.
This program, which solves the problem serially, is primarily intended to be a starting point for a parallel programming approach.
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
SUBSET_SUM_SERIAL is available in a C version and a C++ version and a FORTRAN90 version and a MATLAB version.
BT_SERIAL, a FORTRAN90 program which runs the serial version of the NAS Parallel Benchmark known as "BT" (block tridiagonal solver for 3D PDE).
EP_SERIAL, a FORTRAN90 program which runs the serial version of the NAS Parallel Benchmark known as "EP" (embarassingly parallel).
FFT_SERIAL, a FORTRAN90 program which demonstrates the computation of a Fast Fourier Transform, and is intended as a starting point for developing a parallel version using OpenMP.
FIRE_SERIAL, a FORTRAN90 program which simulates a forest fire over a rectangular array of trees, starting at a single random location. It is intended as a starting point for the development of a parallel version.
HEATED_PLATE, a FORTRAN90 program which solves the steady state heat equation in a 2D rectangular region, and is intended as a starting point for implementing an OpenMP parallel version.
MD, a FORTRAN90 program which carries out a molecular dynamics simulation, and is intended as a starting point for implementing an OpenMP parallel version.
MXM_SERIAL, a FORTRAN90 program which sets up a matrix multiplication problem A=B*C, intended as a starting point for implementing a parallel version.
POISSON_SERIAL, a FORTRAN90 program which computes an approximate solution to the Poisson equation in a rectangle, and is intended as the starting point for the creation of a parallel version.
PRIME_SERIAL, a FORTRAN90 program which counts the number of primes between 1 and N, intended as a starting point for the creation of a parallel version.
QUAD_SERIAL, a FORTRAN90 program which approximates an integral using a quadrature rule, and is intended as a starting point for parallelization exercises.
QUAD2D_SERIAL, a FORTRAN90 program which approximates an integral over a 2D region using a product quadrature rule, and is intended as a starting point for parallelization exercises.
SATISFY, a FORTRAN90 program which demonstrates, for a particular circuit, an exhaustive search for solutions of the circuit satisfiability problem.
SEARCH_SERIAL, a FORTRAN90 program which searches the integers from A to B for a value J such that F(J) = C. this version of the program is intended as a starting point for a parallel approach.
SUBSET_SUM, a FORTRAN90 library which seeks solutions of the subset sum problem.
You can go up one level to the FORTRAN90 source codes.