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</div><!--header-->
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<div class="contents">
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<p><a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle, printing all solutions
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||||
<a href="#details">More...</a></p>
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||||
<div class="textblock"><code>#include <iostream></code><br />
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<code>#include <array></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for nqueen_print_all_solutions.cpp:</div>
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Namespaces</h2></td></tr>
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<tr class="memitem:db/dc0/namespacebacktracking"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html">backtracking</a></td></tr>
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<tr class="memdesc:db/dc0/namespacebacktracking"><td class="mdescLeft"> </td><td class="mdescRight">Backtracking algorithms. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:df/d44/namespacen__queens__all__solutions"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/d44/namespacen__queens__all__solutions.html">n_queens_all_solutions</a></td></tr>
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||||
<tr class="memdesc:df/d44/namespacen__queens__all__solutions"><td class="mdescLeft"> </td><td class="mdescRight">Functions for <a href="https://en.wikipedia.org/wiki/Eight_queens_puzzle">Eight Queens</a> puzzle with all solutions. <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:aebd5e11fab6dab282efccfb61beb0bd9"><td class="memTemplParams" colspan="2">template<size_t n> </td></tr>
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||||
<tr class="memitem:aebd5e11fab6dab282efccfb61beb0bd9"><td class="memTemplItemLeft" align="right" valign="top">void </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>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int, n >, n > &board)</td></tr>
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||||
<tr class="separator:aebd5e11fab6dab282efccfb61beb0bd9"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
<tr class="memitem:aea343d8a72a39c9a4c0fbcbc362f2648"><td class="memTemplParams" colspan="2">template<size_t n> </td></tr>
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||||
<tr class="memitem:aea343d8a72a39c9a4c0fbcbc362f2648"><td class="memTemplItemLeft" align="right" valign="top">bool </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>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int, n >, n > &board, int row, int col)</td></tr>
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<tr class="separator:aea343d8a72a39c9a4c0fbcbc362f2648"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:acc809c055f335011de0d9030034c7108"><td class="memTemplParams" colspan="2">template<size_t n> </td></tr>
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||||
<tr class="memitem:acc809c055f335011de0d9030034c7108"><td class="memTemplItemLeft" align="right" valign="top">void </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>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int, n >, n > board, int col)</td></tr>
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<tr class="separator:acc809c055f335011de0d9030034c7108"><td class="memSeparator" colspan="2"> </td></tr>
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||||
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </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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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
|
||||
</table>
|
||||
<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">Eight Queens</a> puzzle, printing all solutions </p>
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||||
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Himani2000">Himani Negi</a> </dd>
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||||
<dd>
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||||
<a href="https://github.com/Panquesito7">David Leal</a> </dd></dl>
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||||
</div><h2 class="groupheader">Function Documentation</h2>
|
||||
<a id="aea343d8a72a39c9a4c0fbcbc362f2648"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#aea343d8a72a39c9a4c0fbcbc362f2648">◆ </a></span>CanIMove()</h2>
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||||
<div class="memitem">
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<div class="memproto">
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<div class="memtemplate">
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template<size_t n> </div>
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||||
<table class="memname">
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||||
<tr>
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||||
<td class="memname">bool backtracking::n_queens_all_solutions::CanIMove </td>
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||||
<td>(</td>
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||||
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int, n >, n > & </td>
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<td class="paramname"><em>board</em>, </td>
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</tr>
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||||
<tr>
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||||
<td class="paramkey"></td>
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||||
<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>row</em>, </td>
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</tr>
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||||
<tr>
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||||
<td class="paramkey"></td>
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||||
<td></td>
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||||
<td class="paramtype">int </td>
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<td class="paramname"><em>col</em> </td>
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</tr>
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||||
<tr>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</tr>
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</table>
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||||
</div><div class="memdoc">
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||||
<p>Check if a queen can be placed on matrix </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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||||
<tr><td class="paramname">n</td><td>number of matrix size </td></tr>
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</table>
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||||
</dd>
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||||
</dl>
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||||
<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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||||
<tr><td class="paramname">board</td><td>matrix where numbers are saved </td></tr>
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||||
<tr><td class="paramname">row</td><td>current index in rows </td></tr>
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||||
<tr><td class="paramname">col</td><td>current index in columns </td></tr>
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||||
</table>
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||||
</dd>
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||||
</dl>
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||||
<dl class="section return"><dt>Returns</dt><dd><code>true</code> if queen can be placed on matrix </dd>
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<dd>
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<code>false</code> if queen can't be placed on matrix </dd></dl>
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<p>check in the row</p>
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<p>check the first diagonal</p>
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<p>check the second diagonal</p>
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<div class="fragment"><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  {<span class="comment"></span></div>
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<div class="line"><a name="l00051"></a><span class="lineno"> 51</span> <span class="comment"> /// check in the row</span></div>
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<div class="line"><a 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 < col; i++) {</div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <span class="keywordflow">if</span> (board[row][i] == 1) {</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  }</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  }<span class="comment"></span></div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> <span class="comment"> /// check the first diagonal</span></div>
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<div class="line"><a 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 >= 0 && j >= 0; i--, j--) {</div>
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<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  <span class="keywordflow">if</span> (board[i][j] == 1) {</div>
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<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  }</div>
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<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  }<span class="comment"></span></div>
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<div class="line"><a name="l00063"></a><span class="lineno"> 63</span> <span class="comment"> /// check the second diagonal</span></div>
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<div class="line"><a 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 <= n - 1 && j >= 0; i++, j--) {</div>
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<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  <span class="keywordflow">if</span> (board[i][j] == 1) {</div>
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<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  }</div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  }</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span> }</div>
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||||
</div><!-- fragment -->
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||||
</div>
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</div>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<div class="memitem">
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<div class="memproto">
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<table class="memname">
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<tr>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void </td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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||||
</tr>
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</table>
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</div><div class="memdoc">
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  {</div>
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<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  <span class="keyword">const</span> <span class="keywordtype">int</span> n = 4;</div>
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<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<std::array<int, n></a>, n> board{0};</div>
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<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  </div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="../../d7/d24/nqueen__print__all__solutions_8cpp.html#acc809c055f335011de0d9030034c7108">backtracking::n_queens_all_solutions::NQueenSol</a>(board, 0);</div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> }</div>
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</div><!-- fragment -->
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</div>
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</div>
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<a id="acc809c055f335011de0d9030034c7108"></a>
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||||
<h2 class="memtitle"><span class="permalink"><a href="#acc809c055f335011de0d9030034c7108">◆ </a></span>NQueenSol()</h2>
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<div class="memitem">
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<div class="memproto">
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<div class="memtemplate">
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template<size_t n> </div>
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<table class="memname">
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<tr>
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<td class="memname">void backtracking::n_queens_all_solutions::NQueenSol </td>
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||||
<td>(</td>
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||||
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int, n >, n > </td>
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<td class="paramname"><em>board</em>, </td>
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</tr>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>col</em> </td>
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<td>)</td>
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<td></td><td></td>
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<p>Solve n queens problem </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">n</td><td>number of matrix size </td></tr>
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</dd>
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<dl class="params"><dt>Parameters</dt><dd>
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||||
<table class="params">
|
||||
<tr><td class="paramname">board</td><td>matrix where numbers are saved </td></tr>
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||||
<tr><td class="paramname">col</td><td>current index in columns </td></tr>
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</table>
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</dd>
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<div class="fragment"><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  {</div>
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<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  <span class="keywordflow">if</span> (col >= n) {</div>
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<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  PrintSol(board);</div>
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<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  }</div>
|
||||
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n; i++) {</div>
|
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <span class="keywordflow">if</span> (CanIMove(board, i, col)) {</div>
|
||||
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  board[i][col] = 1;</div>
|
||||
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  NQueenSol(board, col + 1);</div>
|
||||
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  board[i][col] = 0;</div>
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||||
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  }</div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aebd5e11fab6dab282efccfb61beb0bd9">◆ </a></span>PrintSol()</h2>
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template<size_t n> </div>
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<td class="memname">void backtracking::n_queens_all_solutions::PrintSol </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a>< int, n >, n > & </td>
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<td class="paramname"><em>board</em></td><td>)</td>
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<td></td>
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<p>Utility function to print matrix </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<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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<div class="fragment"><div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  {</div>
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<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < n; j++) {</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << board[i][j] << <span class="stringliteral">" "</span>;</div>
|
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  }</div>
|
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  }</div>
|
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
|
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span> }</div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<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< std::array< int, n >, n > board, int col)</div><div class="ttdef"><b>Definition:</b> nqueen_print_all_solutions.cpp:79</div></div>
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d7/d24/nqueen__print__all__solutions_8cpp.js
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<div class="ttc" id="aclassciphers_1_1_hill_cipher_html_a7ca10cd1a0e8e3732391e0427d2d0213"><div class="ttname"><a href="../../d6/d26/classciphers_1_1_hill_cipher.html#a7ca10cd1a0e8e3732391e0427d2d0213">ciphers::HillCipher::generate_encryption_key</a></div><div class="ttdeci">static matrix< int > generate_encryption_key(size_t size, int limit1=0, int limit2=10)</div><div class="ttdoc">Generate encryption matrix of a given size. Larger size matrices are difficult to generate but provid...</div><div class="ttdef"><b>Definition:</b> hill_cipher.cpp:339</div></div>
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