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realstealthninja
2025-05-19 11:38:33 +00:00
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<title>TheAlgorithms/C++: backtracking/sudoku_solver.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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@@ -124,10 +124,10 @@ $(function(){initNavTree('d3/d05/sudoku__solver_8cpp_source.html','../../'); ini
<div class="headertitle"><div class="title">sudoku_solver.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d3/d05/sudoku__solver_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span> </div>
<a href="../../d3/d05/sudoku__solver_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span></div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include &lt;array&gt;</span> </div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include &lt;iostream&gt;</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> </div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span></div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../db/dc0/namespacebacktracking.html">backtracking</a> {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d8/d9f/namespacesudoku__solver.html">sudoku_solver</a> {</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
@@ -139,7 +139,7 @@ $(function(){initNavTree('d3/d05/sudoku__solver_8cpp_source.html','../../'); ini
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> </div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span></div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordtype">int</span> sx = (i / 3) * 3;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">int</span> sy = (j / 3) * 3;</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
@@ -154,6 +154,7 @@ $(function(){initNavTree('d3/d05/sudoku__solver_8cpp_source.html','../../'); ini
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span>}</div>
</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
<div class="foldopen" id="foldopen00077" data-start="{" data-end="}">
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac"> 77</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac">printMat</a>(<span class="keyword">const</span> std::array&lt;std::array&lt;int, V&gt;, V&gt; &amp;mat,</div>
@@ -177,28 +178,28 @@ $(function(){initNavTree('d3/d05/sudoku__solver_8cpp_source.html','../../'); ini
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> }</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span>}</div>
</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span></div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> V&gt;</div>
<div class="foldopen" id="foldopen00110" data-start="{" data-end="}">
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b"> 110</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">solveSudoku</a>(std::array&lt;std::array&lt;int, V&gt;, V&gt; &amp;mat,</div>
<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> std::array&lt;std::array&lt;int, V&gt;, V&gt; &amp;starting_mat, <span class="keywordtype">int</span> i,</div>
<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordtype">int</span> j) {</div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">if</span> (i == 9) {</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> printMat&lt;V&gt;(mat, starting_mat, 9);</div>
<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac">printMat&lt;V&gt;</a>(mat, starting_mat, 9);</div>
<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> </div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span></div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">if</span> (j == 9) {</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">return</span> solveSudoku&lt;V&gt;(mat, starting_mat, i + 1, 0);</div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">solveSudoku&lt;V&gt;</a>(mat, starting_mat, i + 1, 0);</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> </div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span></div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">if</span> (mat[i][j] != 0) {</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">return</span> solveSudoku&lt;V&gt;(mat, starting_mat, i, j + 1);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">solveSudoku&lt;V&gt;</a>(mat, starting_mat, i, j + 1);</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> }</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> no = 1; no &lt;= 9; no++) {</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordflow">if</span> (isPossible&lt;V&gt;(mat, i, j, no, 9)) {</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#a07dc6acffd0500de9bdbf16b3ade94b0">isPossible&lt;V&gt;</a>(mat, i, j, no, 9)) {</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> mat[i][j] = no;</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordtype">bool</span> solution_found = solveSudoku&lt;V&gt;(mat, starting_mat, i, j + 1);</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordtype">bool</span> solution_found = <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">solveSudoku&lt;V&gt;</a>(mat, starting_mat, i, j + 1);</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">if</span> (solution_found) {</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> }</div>
@@ -210,7 +211,7 @@ $(function(){initNavTree('d3/d05/sudoku__solver_8cpp_source.html','../../'); ini
</div>
<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span>} <span class="comment">// namespace sudoku_solver</span></div>
<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span>} <span class="comment">// namespace backtracking</span></div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span> </div>
<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span></div>
<div class="foldopen" id="foldopen00154" data-start="{" data-end="}">
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"><a class="line" href="../../d3/d05/sudoku__solver_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 154</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">const</span> <span class="keywordtype">int</span> V = 9;</div>
@@ -225,17 +226,17 @@ $(function(){initNavTree('d3/d05/sudoku__solver_8cpp_source.html','../../'); ini
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> std::array&lt;int, V&gt;{0, 0, 0, 4, 1, 9, 0, 0, 5},</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> std::array&lt;int, V&gt;{0, 0, 0, 0, 8, 0, 0, 7, 9}};</div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> </div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> backtracking::sudoku_solver::printMat&lt;V&gt;(mat, mat, 9);</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac">backtracking::sudoku_solver::printMat&lt;V&gt;</a>(mat, mat, 9);</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> std::cout &lt;&lt; <span class="stringliteral">&quot;Solution &quot;</span> &lt;&lt; std::endl;</div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> std::array&lt;std::array&lt;int, V&gt;, V&gt; starting_mat = mat;</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> backtracking::sudoku_solver::solveSudoku&lt;V&gt;(mat, starting_mat, 0, 0);</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">backtracking::sudoku_solver::solveSudoku&lt;V&gt;</a>(mat, starting_mat, 0, 0);</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span>}</div>
</div>
<div class="ttc" id="anamespacebacktracking_html"><div class="ttname"><a href="../../db/dc0/namespacebacktracking.html">backtracking</a></div><div class="ttdoc">for vector container</div></div>
<div class="ttc" id="anamespacesudoku__solver_html"><div class="ttname"><a href="../../d8/d9f/namespacesudoku__solver.html">sudoku_solver</a></div><div class="ttdoc">Functions for the Sudoku Solver implementation.</div></div>
<div class="ttc" id="asudoku__solver_8cpp_html_a07dc6acffd0500de9bdbf16b3ade94b0"><div class="ttname"><a href="../../d3/d05/sudoku__solver_8cpp.html#a07dc6acffd0500de9bdbf16b3ade94b0">backtracking::sudoku_solver::isPossible</a></div><div class="ttdeci">bool isPossible(const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;mat, int i, int j, int no, int n)</div><div class="ttdoc">Check if it's possible to place a number (no parameter)</div><div class="ttdef"><b>Definition</b> <a href="#l00044">sudoku_solver.cpp:44</a></div></div>
<div class="ttc" id="asudoku__solver_8cpp_html_a07dc6acffd0500de9bdbf16b3ade94b0"><div class="ttname"><a href="../../d3/d05/sudoku__solver_8cpp.html#a07dc6acffd0500de9bdbf16b3ade94b0">backtracking::sudoku_solver::isPossible</a></div><div class="ttdeci">bool isPossible(const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;mat, int i, int j, int no, int n)</div><div class="ttdoc">Check if it&#39;s possible to place a number (no parameter)</div><div class="ttdef"><b>Definition</b> <a href="#l00044">sudoku_solver.cpp:44</a></div></div>
<div class="ttc" id="asudoku__solver_8cpp_html_ab040a12d7684cd85fb3684f4211ea5ac"><div class="ttname"><a href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac">backtracking::sudoku_solver::printMat</a></div><div class="ttdeci">void printMat(const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;mat, const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;starting_mat, int n)</div><div class="ttdoc">Utility function to print the matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00077">sudoku_solver.cpp:77</a></div></div>
<div class="ttc" id="asudoku__solver_8cpp_html_ac911c8bca8556206ff64461b2424866b"><div class="ttname"><a href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">backtracking::sudoku_solver::solveSudoku</a></div><div class="ttdeci">bool solveSudoku(std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;mat, const std::array&lt; std::array&lt; int, V &gt;, V &gt; &amp;starting_mat, int i, int j)</div><div class="ttdoc">Main function to implement the Sudoku algorithm.</div><div class="ttdef"><b>Definition</b> <a href="#l00110">sudoku_solver.cpp:110</a></div></div>
<div class="ttc" id="asudoku__solver_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d05/sudoku__solver_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="#l00154">sudoku_solver.cpp:154</a></div></div>
@@ -245,7 +246,7 @@ $(function(){initNavTree('d3/d05/sudoku__solver_8cpp_source.html','../../'); ini
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