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<p><a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle, printing all solutions
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;array&gt;</code><br />
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Include dependency graph for nqueen_print_all_solutions.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:db/dc0/namespacebacktracking"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html">backtracking</a></td></tr>
<tr class="memdesc:db/dc0/namespacebacktracking"><td class="mdescLeft">&#160;</td><td class="mdescRight">Backtracking algorithms. <br /></td></tr>
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<tr class="memitem:df/d44/namespacen__queens__all__solutions"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d44/namespacen__queens__all__solutions.html">n_queens_all_solutions</a></td></tr>
<tr class="memdesc:df/d44/namespacen__queens__all__solutions"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle with all solutions. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:aebd5e11fab6dab282efccfb61beb0bd9"><td class="memTemplParams" colspan="2">template&lt;size_t n&gt; </td></tr>
<tr class="memitem:aebd5e11fab6dab282efccfb61beb0bd9"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d7/d24/nqueen__print__all__solutions_8cpp.html#aebd5e11fab6dab282efccfb61beb0bd9">backtracking::n_queens_all_solutions::PrintSol</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, n &gt;, n &gt; &amp;board)</td></tr>
<tr class="separator:aebd5e11fab6dab282efccfb61beb0bd9"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aea343d8a72a39c9a4c0fbcbc362f2648"><td class="memTemplParams" colspan="2">template&lt;size_t n&gt; </td></tr>
<tr class="memitem:aea343d8a72a39c9a4c0fbcbc362f2648"><td class="memTemplItemLeft" align="right" valign="top">bool&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d7/d24/nqueen__print__all__solutions_8cpp.html#aea343d8a72a39c9a4c0fbcbc362f2648">backtracking::n_queens_all_solutions::CanIMove</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, n &gt;, n &gt; &amp;board, int row, int col)</td></tr>
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<tr class="memitem:acc809c055f335011de0d9030034c7108"><td class="memTemplParams" colspan="2">template&lt;size_t n&gt; </td></tr>
<tr class="memitem:acc809c055f335011de0d9030034c7108"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d7/d24/nqueen__print__all__solutions_8cpp.html#acc809c055f335011de0d9030034c7108">backtracking::n_queens_all_solutions::NQueenSol</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, n &gt;, n &gt; board, int col)</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d24/nqueen__print__all__solutions_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p ><a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle" target="_blank">Eight Queens</a> puzzle, printing all solutions </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Himani2000" target="_blank">Himani Negi</a> </dd>
<dd>
<a href="https://github.com/Panquesito7" target="_blank">David Leal</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="aea343d8a72a39c9a4c0fbcbc362f2648" name="aea343d8a72a39c9a4c0fbcbc362f2648"></a>
<h2 class="memtitle"><span class="permalink"><a href="#aea343d8a72a39c9a4c0fbcbc362f2648">&#9670;&nbsp;</a></span>CanIMove()</h2>
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template&lt;size_t n&gt; </div>
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<td class="memname">bool backtracking::n_queens_all_solutions::CanIMove </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, n &gt;, n &gt; &amp;&#160;</td>
<td class="paramname"><em>board</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>row</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>col</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p >Check if a queen can be placed on matrix </p><dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">n</td><td>number of matrix size </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">board</td><td>matrix where numbers are saved </td></tr>
<tr><td class="paramname">row</td><td>current index in rows </td></tr>
<tr><td class="paramname">col</td><td>current index in columns </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if queen can be placed on matrix </dd>
<dd>
<code>false</code> if queen can't be placed on matrix </dd></dl>
<p >check in the row</p>
<p >check the first diagonal</p>
<p >check the second diagonal</p>
<div class="fragment"><div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> {<span class="comment"></span></div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span><span class="comment"> /// check in the row</span></div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span><span class="comment"></span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; col; i++) {</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> <span class="keywordflow">if</span> (board[row][i] == 1) {</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> }</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> }<span class="comment"></span></div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span><span class="comment"> /// check the first diagonal</span></div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span><span class="comment"></span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = row, j = col; i &gt;= 0 &amp;&amp; j &gt;= 0; i--, j--) {</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">if</span> (board[i][j] == 1) {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> }</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }<span class="comment"></span></div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span><span class="comment"> /// check the second diagonal</span></div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span><span class="comment"></span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = row, j = col; i &lt;= n - 1 &amp;&amp; j &gt;= 0; i++, j--) {</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">if</span> (board[i][j] == 1) {</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> }</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> }</div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span>}</div>
</div><!-- fragment -->
</div>
</div>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
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</div><div class="memdoc">
<p >Main function </p>
<div class="fragment"><div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> {</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> <span class="keyword">const</span> <span class="keywordtype">int</span> n = 4;</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array&lt;std::array&lt;int, n&gt;</a>, n&gt; board{0};</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> <a class="code hl_function" href="../../d7/d24/nqueen__print__all__solutions_8cpp.html#acc809c055f335011de0d9030034c7108">backtracking::n_queens_all_solutions::NQueenSol</a>(board, 0);</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span>}</div>
<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div></div>
<div class="ttc" id="anqueen__print__all__solutions_8cpp_html_acc809c055f335011de0d9030034c7108"><div class="ttname"><a href="../../d7/d24/nqueen__print__all__solutions_8cpp.html#acc809c055f335011de0d9030034c7108">backtracking::n_queens_all_solutions::NQueenSol</a></div><div class="ttdeci">void NQueenSol(std::array&lt; std::array&lt; int, n &gt;, n &gt; board, int col)</div><div class="ttdef"><b>Definition:</b> nqueen_print_all_solutions.cpp:79</div></div>
</div><!-- fragment -->
</div>
</div>
<a id="acc809c055f335011de0d9030034c7108" name="acc809c055f335011de0d9030034c7108"></a>
<h2 class="memtitle"><span class="permalink"><a href="#acc809c055f335011de0d9030034c7108">&#9670;&nbsp;</a></span>NQueenSol()</h2>
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<div class="memtemplate">
template&lt;size_t n&gt; </div>
<table class="memname">
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<td class="memname">void backtracking::n_queens_all_solutions::NQueenSol </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, n &gt;, n &gt;&#160;</td>
<td class="paramname"><em>board</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">int&#160;</td>
<td class="paramname"><em>col</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p >Solve n queens problem </p><dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">n</td><td>number of matrix size </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">board</td><td>matrix where numbers are saved </td></tr>
<tr><td class="paramname">col</td><td>current index in columns </td></tr>
</table>
</dd>
</dl>
<div class="fragment"><div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> {</div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">if</span> (col &gt;= n) {</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <a class="code hl_function" href="../../da/dac/n__queens__all__solution__optimised_8cpp.html#a04090463be4942a69ea91fe7386da905">PrintSol</a>(board);</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> }</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../da/dac/n__queens__all__solution__optimised_8cpp.html#a9e48455584a4faa33e83dd1891efd9b9">CanIMove</a>(board, i, col)) {</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> board[i][col] = 1;</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <a class="code hl_function" href="../../da/dac/n__queens__all__solution__optimised_8cpp.html#a23c0547e4fd1708e6fb643b08327a60f">NQueenSol</a>(board, col + 1);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> board[i][col] = 0;</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> }</div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> }</div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span>}</div>
<div class="ttc" id="an__queens__all__solution__optimised_8cpp_html_a04090463be4942a69ea91fe7386da905"><div class="ttname"><a href="../../da/dac/n__queens__all__solution__optimised_8cpp.html#a04090463be4942a69ea91fe7386da905">backtracking::n_queens_optimized::PrintSol</a></div><div class="ttdeci">void PrintSol(const std::array&lt; std::array&lt; int, n &gt;, n &gt; &amp;board)</div><div class="ttdef"><b>Definition:</b> n_queens_all_solution_optimised.cpp:30</div></div>
<div class="ttc" id="an__queens__all__solution__optimised_8cpp_html_a23c0547e4fd1708e6fb643b08327a60f"><div class="ttname"><a href="../../da/dac/n__queens__all__solution__optimised_8cpp.html#a23c0547e4fd1708e6fb643b08327a60f">backtracking::n_queens_optimized::NQueenSol</a></div><div class="ttdeci">void NQueenSol(std::array&lt; std::array&lt; int, n &gt;, n &gt; board, int col)</div><div class="ttdef"><b>Definition:</b> n_queens_all_solution_optimised.cpp:89</div></div>
<div class="ttc" id="an__queens__all__solution__optimised_8cpp_html_a9e48455584a4faa33e83dd1891efd9b9"><div class="ttname"><a href="../../da/dac/n__queens__all__solution__optimised_8cpp.html#a9e48455584a4faa33e83dd1891efd9b9">backtracking::n_queens_optimized::CanIMove</a></div><div class="ttdeci">bool CanIMove(const std::array&lt; std::array&lt; int, n &gt;, n &gt; &amp;board, int row, int col)</div><div class="ttdef"><b>Definition:</b> n_queens_all_solution_optimised.cpp:59</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aebd5e11fab6dab282efccfb61beb0bd9">&#9670;&nbsp;</a></span>PrintSol()</h2>
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template&lt;size_t n&gt; </div>
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<td class="memname">void backtracking::n_queens_all_solutions::PrintSol </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>&lt; int, n &gt;, n &gt; &amp;&#160;</td>
<td class="paramname"><em>board</em></td><td>)</td>
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<p >Utility function to print matrix </p><dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">n</td><td>number of matrix size </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">board</td><td>matrix where numbers are saved </td></tr>
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</dd>
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<div class="fragment"><div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> {</div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; n; j++) {</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; board[i][j] &lt;&lt; <span class="stringliteral">&quot; &quot;</span>;</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> }</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> }</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span>}</div>
<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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