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Nmbr9 as a Constraint Programming Challenge

This repository contains the code for the abstract "Nmbr9 as a Constraint Programming Challenge" by Mikael Zayenz Lagerkvist. The abstract is submitted to the 25th International Conference on Principles and Practice of Constraint Programming 2019.

The code is located in the directory code/ and is a CMake C++ 17 project.


  • The code is licensed under the MIT license.
  • The paper is licensed under CC-BY-SA-4.0.

Relevant license texts are available in the subdirectories.

Building and running the experiments

Gecode 6.2.0 is required to be installed on the system before building. The code has only been tested on a Mac, it is likely that another way of discovering and linking Gecode might be needed for other platforms, currently the CMake find_library method is used for finding and setting up Gecode.

First, create a new build directory code/build. From within build, use

$ cmake ..
$ make

to build the application.

There will be an executable produced src/nmbr9-cli that uses the Gecode script command line driver for running the model.

As an example, running the instance described in the paper is done using

$ nmbr9-cli -solutions 0 -play-type free -max-value 6 -copies 2 -deck-size 5 -grid-size 8 -max-layers 3

and running the full problem is done using

$ nmbr9-cli -solutions 0 -play-type free -max-value 9 -copies 2 -deck-size 20 -grid-size 20 -max-layers 7


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