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<title>TheAlgorithms/C++: backtracking/magic_sequence.cpp Source File</title>
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@@ -60,7 +60,7 @@ window.MathJax = {
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/* @license magnet:?xt=urn:btih:d3d9a9a6595521f9666a5e94cc830dab83b65699&dn=expat.txt MIT */
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var searchBox = new SearchBox("searchBox", "../../search/",'.html');
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@@ -147,7 +147,7 @@ $(function(){initNavTree('d7/d37/magic__sequence_8cpp_source.html','../../'); in
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<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span><span class="preprocessor">#include <list></span> </div>
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<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span><span class="preprocessor">#include <numeric></span> </div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span><span class="preprocessor">#include <vector></span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
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<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span></div>
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<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../db/dc0/namespacebacktracking.html">backtracking</a> {</div>
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<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d8/d93/namespacemagic__sequence.html">magic_sequence</a> {</div>
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<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span><span class="keyword">using </span>sequence_t =</div>
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@@ -156,7 +156,7 @@ $(function(){initNavTree('d7/d37/magic__sequence_8cpp_source.html','../../'); in
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span>& item : s) std::cout << item << <span class="stringliteral">" "</span>;</div>
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> std::cout << std::endl;</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span>}</div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> </div>
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<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span></div>
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<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span><span class="keywordtype">bool</span> is_magic(<span class="keyword">const</span> sequence_t& s) {</div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < s.size(); i++) {</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">if</span> (std::count(s.cbegin(), s.cend(), i) != s[i]) {</div>
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@@ -165,13 +165,13 @@ $(function(){initNavTree('d7/d37/magic__sequence_8cpp_source.html','../../'); in
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>}</div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> </div>
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<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span></div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="keywordtype">bool</span> filtering(<span class="keyword">const</span> sequence_t& s, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> depth) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> <span class="keywordflow">return</span> std::accumulate(s.cbegin(), s.cbegin() + depth,</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> <span class="keyword">static_cast<</span><span class="keywordtype">unsigned</span> <span class="keywordtype">int</span><span class="keyword">></span>(0)) <= s.size();</div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span>}</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> </div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d1/d2a/knight__tour_8cpp.html#aaa47356d98676cf5315d978f741e29c9">solve</a>(sequence_t* s, std::list<sequence_t>* ret, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> depth = 0) {</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span></div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span><span class="keywordtype">void</span> solve(sequence_t* s, std::list<sequence_t>* ret, <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> depth = 0) {</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">if</span> (depth == s->size()) {</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> <span class="keywordflow">if</span> (is_magic(*s)) {</div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> ret->push_back(*s);</div>
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@@ -180,7 +180,7 @@ $(function(){initNavTree('d7/d37/magic__sequence_8cpp_source.html','../../'); in
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 0; i < s->size(); i++) {</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> (*s)[depth] = i;</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> <span class="keywordflow">if</span> (filtering(*s, depth + 1)) {</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <a class="code hl_function" href="../../d1/d2a/knight__tour_8cpp.html#aaa47356d98676cf5315d978f741e29c9">solve</a>(s, ret, depth + 1);</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> solve(s, ret, depth + 1);</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> }</div>
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<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> }</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> }</div>
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@@ -188,8 +188,8 @@ $(function(){initNavTree('d7/d37/magic__sequence_8cpp_source.html','../../'); in
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> </div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span>} <span class="comment">// namespace magic_sequence</span></div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span>} <span class="comment">// namespace backtracking</span></div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> </div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="keyword">static</span> <span class="keywordtype">void</span> test() {</div>
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<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span></div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span><span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>() {</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="comment">// test a valid magic sequence</span></div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> backtracking::magic_sequence::sequence_t s_magic = {6, 2, 1, 0, 0,</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> 0, 1, 0, 0, 0};</div>
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@@ -200,9 +200,9 @@ $(function(){initNavTree('d7/d37/magic__sequence_8cpp_source.html','../../'); in
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> 0, 1, 0, 0, 0};</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> assert(!backtracking::magic_sequence::is_magic(s_not_magic));</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span>}</div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span> </div>
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<div class="line"><a id="l00113" name="l00113"></a><span class="lineno"> 113</span></div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> test(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> </div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="comment">// solve magic sequences of size 2 to 11 and print the solutions</span></div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">for</span> (<span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> i = 2; i < 12; i++) {</div>
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@@ -220,8 +220,8 @@ $(function(){initNavTree('d7/d37/magic__sequence_8cpp_source.html','../../'); in
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> }</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span>}</div>
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<div class="ttc" id="agenerate__parentheses_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00082">generate_parentheses.cpp:82</a></div></div>
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<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
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<div class="ttc" id="aknight__tour_8cpp_html_aaa47356d98676cf5315d978f741e29c9"><div class="ttname"><a href="../../d1/d2a/knight__tour_8cpp.html#aaa47356d98676cf5315d978f741e29c9">backtracking::knight_tour::solve</a></div><div class="ttdeci">bool solve(int x, int y, int mov, std::array< std::array< int, V >, V > &sol, const std::array< int, V > &xmov, std::array< int, V > &ymov)</div><div class="ttdef"><b>Definition</b> <a href="../../d1/d2a/knight__tour_8cpp_source.html#l00057">knight_tour.cpp:57</a></div></div>
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<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>
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<div class="ttc" id="anamespacemagic__sequence_html"><div class="ttname"><a href="../../d8/d93/namespacemagic__sequence.html">magic_sequence</a></div><div class="ttdoc">Functions for the Magic sequence implementation.</div></div>
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</div><!-- fragment --></div><!-- contents -->
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@@ -230,7 +230,7 @@ $(function(){initNavTree('d7/d37/magic__sequence_8cpp_source.html','../../'); in
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<ul>
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<li class="navelem"><a class="el" href="../../dir_c11585dfcef32a26e29098facab6c144.html">backtracking</a></li><li class="navelem"><b>magic_sequence.cpp</b></li>
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<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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<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> 1.13.2 </li>
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