Try this logic programming example to learn how to solve the problem of arranging X’s and O’s on a three-dimensional Tic-Tac-Toe board so as to minimize the number of completed lines or diagonals. This example will show you how a binary programming model can be used to capture simple logical constraints.
This is example 17 from the fifth edition of Model Building in Mathematical Programming by H. Paul Williams on pages 272 and 327 – 328.
This modeling example is at the beginning level. We assume that you have some familiarity with Python and the Gurobi Python API, but you can hopefully pick up any missing concepts from the example.
Click on the button below to access the example in Google Colab, which is a free, online Jupyter Notebook environment that allows you to write and execute Python code through your browser.
Check out the Colab Getting Started Guide for full details on how to use Colab Notebooks as well as create your own.
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