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<title>TheAlgorithms/C++: backtracking/n_queens.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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@@ -124,15 +124,15 @@ $(function(){initNavTree('d4/d3e/n__queens_8cpp_source.html','../../'); initResi
<div class="headertitle"><div class="title">n_queens.cpp</div></div>
</div><!--header-->
<div class="contents">
<a href="../../d4/d3e/n__queens_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="../../d4/d3e/n__queens_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="../../d3/da1/namespacen__queens.html">n_queens</a> {</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> n&gt;</div>
<div class="foldopen" id="foldopen00038" data-start="{" data-end="}">
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="../../d4/d3e/n__queens_8cpp.html#a40ae0c7fd04eb20e7f3bff13fc6a5808"> 38</a></span><span class="keywordtype">void</span> printSolution(<span class="keyword">const</span> std::array&lt;std::array&lt;int, n&gt;, n&gt; &amp;board) {</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"><a class="line" href="../../d4/d3e/n__queens_8cpp.html#a40ae0c7fd04eb20e7f3bff13fc6a5808"> 38</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d4/d3e/n__queens_8cpp.html#a40ae0c7fd04eb20e7f3bff13fc6a5808">printSolution</a>(<span class="keyword">const</span> std::array&lt;std::array&lt;int, n&gt;, n&gt; &amp;board) {</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> std::cout &lt;&lt; <span class="stringliteral">&quot;\n&quot;</span>;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
@@ -142,10 +142,10 @@ $(function(){initNavTree('d4/d3e/n__queens_8cpp_source.html','../../'); initResi
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> }</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span>}</div>
</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> </div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> n&gt;</div>
<div class="foldopen" id="foldopen00058" data-start="{" data-end="}">
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="../../d4/d3e/n__queens_8cpp.html#a5730b6683f6adcf5c5ef75cf53dc7160"> 58</a></span><span class="keywordtype">bool</span> isSafe(<span class="keyword">const</span> std::array&lt;std::array&lt;int, n&gt;, n&gt; &amp;board, <span class="keyword">const</span> <span class="keywordtype">int</span> &amp;row,</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"><a class="line" href="../../d4/d3e/n__queens_8cpp.html#a5730b6683f6adcf5c5ef75cf53dc7160"> 58</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d4/d3e/n__queens_8cpp.html#a5730b6683f6adcf5c5ef75cf53dc7160">isSafe</a>(<span class="keyword">const</span> std::array&lt;std::array&lt;int, n&gt;, n&gt; &amp;board, <span class="keyword">const</span> <span class="keywordtype">int</span> &amp;row,</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keyword">const</span> <span class="keywordtype">int</span> &amp;col) {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordtype">int</span> i = 0, j = 0;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
@@ -171,12 +171,12 @@ $(function(){initNavTree('d4/d3e/n__queens_8cpp_source.html','../../'); initResi
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>}</div>
</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> </div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span><span class="keyword">template</span> &lt;<span class="keywordtype">size_t</span> n&gt;</div>
<div class="foldopen" id="foldopen00091" data-start="{" data-end="}">
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"><a class="line" href="../../d4/d3e/n__queens_8cpp.html#a0dbd7af47d87f0b956609fe9e3288ecb"> 91</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d4/d3e/n__queens_8cpp.html#a0dbd7af47d87f0b956609fe9e3288ecb">solveNQ</a>(std::array&lt;std::array&lt;int, n&gt;, n&gt; board, <span class="keyword">const</span> <span class="keywordtype">int</span> &amp;col) {</div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="keywordflow">if</span> (col &gt;= n) {</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> printSolution&lt;n&gt;(board);</div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <a class="code hl_function" href="../../d4/d3e/n__queens_8cpp.html#a40ae0c7fd04eb20e7f3bff13fc6a5808">printSolution&lt;n&gt;</a>(board);</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">return</span>;</div>
<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>
@@ -185,12 +185,12 @@ $(function(){initNavTree('d4/d3e/n__queens_8cpp_source.html','../../'); initResi
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <span class="comment">// Check if queen can be placed</span></div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> <span class="comment">// on board[i][col]</span></div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">if</span> (isSafe&lt;n&gt;(board, i, col)) {</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d4/d3e/n__queens_8cpp.html#a5730b6683f6adcf5c5ef75cf53dc7160">isSafe&lt;n&gt;</a>(board, i, col)) {</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// Place this queen in matrix</span></div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> board[i][col] = 1;</div>
<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> </div>
<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> <span class="comment">// Recursive to place rest of the queens</span></div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> solveNQ&lt;n&gt;(board, col + 1);</div>
<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> <a class="code hl_function" href="../../d4/d3e/n__queens_8cpp.html#a0dbd7af47d87f0b956609fe9e3288ecb">solveNQ&lt;n&gt;</a>(board, col + 1);</div>
<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> </div>
<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> board[i][col] = 0; <span class="comment">// backtrack</span></div>
<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> }</div>
@@ -199,7 +199,7 @@ $(function(){initNavTree('d4/d3e/n__queens_8cpp_source.html','../../'); initResi
</div>
<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span>} <span class="comment">// namespace n_queens</span></div>
<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span>} <span class="comment">// namespace backtracking</span></div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> </div>
<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span></div>
<div class="foldopen" id="foldopen00120" data-start="{" data-end="}">
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"><a class="line" href="../../d4/d3e/n__queens_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 120</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d4/d3e/n__queens_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keyword">const</span> <span class="keywordtype">int</span> n = 4;</div>
@@ -207,11 +207,13 @@ $(function(){initNavTree('d4/d3e/n__queens_8cpp_source.html','../../'); initResi
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> std::array&lt;int, n&gt;({0, 0, 0, 0}), std::array&lt;int, n&gt;({0, 0, 0, 0}),</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> std::array&lt;int, n&gt;({0, 0, 0, 0}), std::array&lt;int, n&gt;({0, 0, 0, 0})};</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> </div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> backtracking::n_queens::solveNQ&lt;n&gt;(board, 0);</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <a class="code hl_function" href="../../d4/d3e/n__queens_8cpp.html#a0dbd7af47d87f0b956609fe9e3288ecb">backtracking::n_queens::solveNQ&lt;n&gt;</a>(board, 0);</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span>}</div>
</div>
<div class="ttc" id="an__queens_8cpp_html_a0dbd7af47d87f0b956609fe9e3288ecb"><div class="ttname"><a href="../../d4/d3e/n__queens_8cpp.html#a0dbd7af47d87f0b956609fe9e3288ecb">backtracking::n_queens::solveNQ</a></div><div class="ttdeci">void solveNQ(std::array&lt; std::array&lt; int, n &gt;, n &gt; board, const int &amp;col)</div><div class="ttdef"><b>Definition</b> <a href="#l00091">n_queens.cpp:91</a></div></div>
<div class="ttc" id="an__queens_8cpp_html_a40ae0c7fd04eb20e7f3bff13fc6a5808"><div class="ttname"><a href="../../d4/d3e/n__queens_8cpp.html#a40ae0c7fd04eb20e7f3bff13fc6a5808">backtracking::n_queens::printSolution</a></div><div class="ttdeci">void printSolution(const std::array&lt; std::array&lt; int, n &gt;, n &gt; &amp;board)</div><div class="ttdef"><b>Definition</b> <a href="#l00038">n_queens.cpp:38</a></div></div>
<div class="ttc" id="an__queens_8cpp_html_a5730b6683f6adcf5c5ef75cf53dc7160"><div class="ttname"><a href="../../d4/d3e/n__queens_8cpp.html#a5730b6683f6adcf5c5ef75cf53dc7160">backtracking::n_queens::isSafe</a></div><div class="ttdeci">bool isSafe(const std::array&lt; std::array&lt; int, n &gt;, n &gt; &amp;board, const int &amp;row, const int &amp;col)</div><div class="ttdef"><b>Definition</b> <a href="#l00058">n_queens.cpp:58</a></div></div>
<div class="ttc" id="an__queens_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d4/d3e/n__queens_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="#l00120">n_queens.cpp:120</a></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="anamespacen__queens_html"><div class="ttname"><a href="../../d3/da1/namespacen__queens.html">n_queens</a></div><div class="ttdoc">Functions for Eight Queens puzzle.</div></div>
@@ -221,7 +223,7 @@ $(function(){initNavTree('d4/d3e/n__queens_8cpp_source.html','../../'); initResi
<div id="nav-path" class="navpath"><!-- id is needed for treeview function! -->
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<li class="navelem"><a class="el" href="../../dir_c11585dfcef32a26e29098facab6c144.html">backtracking</a></li><li class="navelem"><a class="el" href="../../d4/d3e/n__queens_8cpp.html">n_queens.cpp</a></li>
<li class="footer">Generated by <a href="https://www.doxygen.org/index.html"><img class="footer" src="../../doxygen.svg" width="104" height="31" alt="doxygen"/></a> 1.12.0 </li>
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