partition_brute


partition_brute, a C code which seeks solutions of the partition problem, splitting a set of integers into two subsets with equal sum, using brute force.

Licensing:

The information on this web page is distributed under the MIT license.

Languages:

partition_brute 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:

partition_brute_test

change_dynamic, a C code which considers the change making problem, in which a given sum is to be formed using coins of various denominations.

closest_pair_brute, a C code which uses brute force to solve a 2D version of the closest pair problem, which identifies the closest pair of points in a given collection.

combo, a C code which includes many combinatorial routines.

knapsack_01_brute, a C code which uses brute force to solve small versions of the 0/1 knapsack problem;

matrix_chain_brute, a C code which finds the cost of the most efficient ordering to use when multiplying a sequence of matrices, using brute force.

partition_problem, a dataset directory which contains examples of the partition problem, in which a set of numbers is given, and it is desired to break the set into two subsets with equal sum.

satisfy_brute, a C code which uses brute force to find all assignments of values to a set of logical variables which make a complicated logical statement true.

subset, a C code which enumerates, generates, ranks and unranks combinatorial objects including combinations, partitions, subsets, index sets, and trees.

subset_sum_brute, a C code which uses brute force to solve the subset sum problem, to find a subset of a set of integers which has a given sum.

tsp_brute, a C code which reads a file of city-to-city distances and solves the traveling salesperson problem, using brute force.

Reference:

  1. Alexander Dewdney,
    The Turing Omnibus,
    Freeman, 1989,
    ISBN13: 9780716781547,
    LC: QA76.D45.
  2. Brian Hayes,
    The Easiest Hard Problem,
    American Scientist,
    Volume 90, Number 2, March-April 2002, pages 113-117.
  3. Silvano Martello, Paolo Toth,
    Knapsack Problems: Algorithms and Computer Implementations,
    Wiley, 1990,
    ISBN: 0-471-92420-2,
    LC: QA267.7.M37.

Source Code:


Last revised on 22 July 2019.