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fix broken sudoku example #18

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40 changes: 28 additions & 12 deletions docs/2.25.236/mp/creating_model.html
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Expand Up @@ -195,44 +195,60 @@ <h3>Import necessary modules<a class="headerlink" href="#import-necessary-module
More comments are available in the files in the directory <code class="docutils literal notranslate"><span class="pre">docplex/mp/examples</span></code>.</p>
<div class="highlight-default notranslate"><div class="highlight"><pre><span></span><span class="kn">from</span> <span class="nn">docplex.mp.model</span> <span class="kn">import</span> <span class="n">Model</span>

<span class="n">myInput</span> <span class="o">=</span><span class="p">[[</span><span class="mi">8</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">8</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]]</span>
<span class="n">myInput</span> <span class="o">=</span> \
<span class="p">[[</span><span class="mi">8</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">2</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">7</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">6</span><span class="p">,</span> <span class="mi">8</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">8</span><span class="p">,</span> <span class="mi">5</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="mi">0</span><span class="p">],</span>
<span class="p">[</span><span class="mi">0</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">4</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="mi">0</span><span class="p">]]</span>

<span class="n">model</span> <span class="o">=</span> <span class="n">Model</span><span class="p">(</span><span class="s2">&quot;sudoku&quot;</span><span class="p">)</span>
<span class="n">R</span> <span class="o">=</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">10</span><span class="p">)</span>
<span class="n">idx</span> <span class="o">=</span> <span class="p">[(</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">)</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">R</span> <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="n">R</span> <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">R</span><span class="p">]</span>

<span class="n">x</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">binary_var_dict</span><span class="p">(</span><span class="n">idx</span><span class="p">,</span> <span class="s2">&quot;X&quot;</span><span class="p">)</span>
<span class="n">x</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">binary_var_dict</span><span class="p">(</span><span class="n">idx</span><span class="p">,</span> <span class="n">name</span><span class="o">=</span><span class="s2">&quot;X&quot;</span><span class="p">)</span>

<span class="c1"># fix numbers in prepopulated cells</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="k">if</span> <span class="n">myInput</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">][</span><span class="n">j</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]</span> <span class="o">!=</span> <span class="mi">0</span><span class="p">:</span>
<span class="n">model</span><span class="o">.</span><span class="n">add_constraint</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">myInput</span><span class="p">[</span><span class="n">i</span> <span class="o">-</span> <span class="mi">1</span><span class="p">][</span><span class="n">j</span> <span class="o">-</span> <span class="mi">1</span><span class="p">]]</span> <span class="o">==</span> <span class="mi">1</span><span class="p">)</span>

<span class="c1"># a cell must contain a single number</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="n">model</span><span class="o">.</span><span class="n">add_constraint</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">]</span> <span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">R</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">)</span>

<span class="c1"># every number must appear exactly once in each row</span>
<span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="n">model</span><span class="o">.</span><span class="n">add_constraint</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">]</span> <span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">R</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">)</span>

<span class="c1"># every number must appear exactly once in each column</span>
<span class="k">for</span> <span class="n">i</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="n">model</span><span class="o">.</span><span class="n">add_constraint</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="n">i</span><span class="p">,</span> <span class="n">j</span><span class="p">,</span> <span class="n">k</span><span class="p">]</span> <span class="k">for</span> <span class="n">j</span> <span class="ow">in</span> <span class="n">R</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">)</span>

<span class="c1"># every number must appear exactly once in every main 3x3 section</span>
<span class="n">R_small</span> <span class="o">=</span> <span class="nb">range</span><span class="p">(</span><span class="mi">1</span><span class="p">,</span> <span class="mi">4</span><span class="p">)</span>
<span class="n">steps</span> <span class="o">=</span> <span class="nb">range</span><span class="p">(</span><span class="mi">0</span><span class="p">,</span> <span class="mi">9</span><span class="p">,</span> <span class="mi">3</span><span class="p">)</span>
<span class="k">for</span> <span class="n">section_i</span> <span class="ow">in</span> <span class="n">steps</span><span class="p">:</span>
<span class="k">for</span> <span class="n">section_j</span> <span class="ow">in</span> <span class="n">steps</span><span class="p">:</span>
<span class="k">for</span> <span class="n">k</span> <span class="ow">in</span> <span class="n">R</span><span class="p">:</span>
<span class="n">model</span><span class="o">.</span><span class="n">add_constraint</span><span class="p">(</span><span class="n">model</span><span class="o">.</span><span class="n">sum</span><span class="p">(</span><span class="n">x</span><span class="p">[</span><span class="n">section_i</span><span class="o">+</span><span class="n">step_i</span><span class="p">,</span> <span class="n">section_j</span><span class="o">+</span><span class="n">step_j</span><span class="p">,</span> <span class="n">k</span><span class="p">]</span>
<span class="k">for</span> <span class="n">step_i</span> <span class="ow">in</span> <span class="n">R_small</span> <span class="k">for</span> <span class="n">step_j</span> <span class="ow">in</span> <span class="n">R_small</span><span class="p">)</span> <span class="o">==</span> <span class="mi">1</span><span class="p">)</span>

<span class="n">solution</span> <span class="o">=</span> <span class="n">model</span><span class="o">.</span><span class="n">solve</span><span class="p">()</span>
<span class="n">solution</span><span class="o">.</span><span class="n">print_information</span><span class="p">()</span>
<span class="n">model</span><span class="o">.</span><span class="n">solve_details</span><span class="o">.</span><span class="n">print_information</span><span class="p">()</span>
</pre></div>
</div>
<p>The <em>solve()</em> method returns an object of class <a class="reference external" href="docplex.mp.solution.html#docplex.mp.solution.SolveSolution">SolveSolution</a> that contains the result of solving, or None if the model has no solution.
This object is described in the section &#8220;Retrieve results&#8221;.</p>
<p>The method <em>print_information()</em> prints a default view of the status of the solve and the values of all variables.
<p>The method <em>print_information()</em> prints a default view of the status of the solve and its details.
The object <em>SolveSolution</em> contains all the necessary accessors to create a customized solution output.</p>
</div>
<div class="section" id="solving-parameters">
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