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<div class="headertitle"><div class="title">knight_tour.cpp</div></div>
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<div class="contents">
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<a href="../../d1/d2a/knight__tour_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>
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<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span><span class="preprocessor">#include <array></span> </div>
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<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span></div>
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<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</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="l00029" name="l00029"></a><span class="lineno"> 29</span><span class="keyword">namespace </span><a class="code hl_namespace" href="../../d1/db6/namespaceknight__tour.html">knight_tour</a> {</div>
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<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span><span class="keyword">template</span> <<span class="keywordtype">size_t</span> V></div>
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<div class="foldopen" id="foldopen00040" data-start="{" data-end="}">
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<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"><a class="line" href="../../d1/d2a/knight__tour_8cpp.html#af27031fbff093ffd625f64010d98aab2"> 40</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d1/d2a/knight__tour_8cpp.html#af27031fbff093ffd625f64010d98aab2">issafe</a>(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> y, <span class="keyword">const</span> std::array<std::array<int, V>, V> &sol) {</div>
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<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> <span class="keywordflow">return</span> (x < V && x >= 0 && y < V && y >= 0 && sol[x][y] == -1);</div>
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<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span>}</div>
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</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span></div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span><span class="keyword">template</span> <<span class="keywordtype">size_t</span> V></div>
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<div class="foldopen" id="foldopen00057" data-start="{" data-end="}">
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"><a class="line" href="../../d1/d2a/knight__tour_8cpp.html#aaa47356d98676cf5315d978f741e29c9"> 57</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d1/d2a/knight__tour_8cpp.html#aaa47356d98676cf5315d978f741e29c9">solve</a>(<span class="keywordtype">int</span> x, <span class="keywordtype">int</span> y, <span class="keywordtype">int</span> <a class="code hl_function" href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a>, std::array<std::array<int, V>, V> &sol,</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keyword">const</span> std::array<int, V> &xmov, std::array<int, V> &ymov) {</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordtype">int</span> k = 0, xnext = 0, ynext = 0;</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> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a> == V * V) {</div>
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<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> }</div>
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<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> </div>
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<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">for</span> (k = 0; k < V; k++) {</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> xnext = x + xmov[k];</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> ynext = y + ymov[k];</div>
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<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> </div>
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<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d1/d2a/knight__tour_8cpp.html#af27031fbff093ffd625f64010d98aab2">issafe<V></a>(xnext, ynext, sol)) {</div>
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<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span> sol[xnext][ynext] = <a class="code hl_function" href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a>;</div>
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<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span> </div>
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<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d1/d2a/knight__tour_8cpp.html#aaa47356d98676cf5315d978f741e29c9">solve<V></a>(xnext, ynext, <a class="code hl_function" href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a> + 1, sol, xmov, ymov) == <span class="keyword">true</span>) {</div>
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<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span> sol[xnext][ynext] = -1;</div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span> }</div>
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span> }</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> }</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span>}</div>
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</div>
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<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>} <span class="comment">// namespace knight_tour</span></div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span>} <span class="comment">// namespace backtracking</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span></div>
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<div class="foldopen" id="foldopen00088" data-start="{" data-end="}">
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"><a class="line" href="../../d1/d2a/knight__tour_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 88</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d1/d2a/knight__tour_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="keyword">const</span> <span class="keywordtype">int</span> n = 8;</div>
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<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> std::array<std::array<int, n>, n> sol = {0};</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> <span class="keywordtype">int</span> i = 0, j = 0;</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">for</span> (i = 0; i < n; i++) {</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> sol[i][j] = -1;</div>
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<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</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="l00098" name="l00098"></a><span class="lineno"> 98</span> </div>
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<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> std::array<int, n> xmov = {2, 1, -1, -2, -2, -1, 1, 2};</div>
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<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> std::array<int, n> ymov = {1, 2, 2, 1, -1, -2, -2, -1};</div>
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<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> </div>
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<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> sol[0][0] = 0;</div>
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<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> </div>
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<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span> <span class="keywordtype">bool</span> flag = <a class="code hl_function" href="../../d1/d2a/knight__tour_8cpp.html#aaa47356d98676cf5315d978f741e29c9">backtracking::knight_tour::solve<n></a>(0, 0, 1, sol, xmov, ymov);</div>
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<div class="line"><a id="l00105" name="l00105"></a><span class="lineno"> 105</span> <span class="keywordflow">if</span> (flag == <span class="keyword">false</span>) {</div>
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<div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span> std::cout << <span class="stringliteral">"Error: Solution does not exist\n"</span>;</div>
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<div class="line"><a id="l00107" name="l00107"></a><span class="lineno"> 107</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00108" name="l00108"></a><span class="lineno"> 108</span> <span class="keywordflow">for</span> (i = 0; i < n; i++) {</div>
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<div class="line"><a id="l00109" name="l00109"></a><span class="lineno"> 109</span> <span class="keywordflow">for</span> (j = 0; j < n; j++) {</div>
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"> 110</span> std::cout << sol[i][j] << <span class="stringliteral">" "</span>;</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> }</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> std::cout << <span class="stringliteral">"\n"</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="l00114" name="l00114"></a><span class="lineno"> 114</span> }</div>
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<div class="line"><a id="l00115" name="l00115"></a><span class="lineno"> 115</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span>}</div>
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</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="#l00057">knight_tour.cpp:57</a></div></div>
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<div class="ttc" id="aknight__tour_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d1/d2a/knight__tour_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="#l00088">knight_tour.cpp:88</a></div></div>
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<div class="ttc" id="aknight__tour_8cpp_html_af27031fbff093ffd625f64010d98aab2"><div class="ttname"><a href="../../d1/d2a/knight__tour_8cpp.html#af27031fbff093ffd625f64010d98aab2">backtracking::knight_tour::issafe</a></div><div class="ttdeci">bool issafe(int x, int y, const std::array< std::array< int, V >, V > &sol)</div><div class="ttdef"><b>Definition</b> <a href="#l00040">knight_tour.cpp:40</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="anamespaceknight__tour_html"><div class="ttname"><a href="../../d1/db6/namespaceknight__tour.html">knight_tour</a></div><div class="ttdoc">Functions for the Knight's tour algorithm.</div></div>
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<div class="ttc" id="atower__of__hanoi_8cpp_html_af4cfc41e546f1f8d25f01e0804e8b61d"><div class="ttname"><a href="../../db/d3c/tower__of__hanoi_8cpp.html#af4cfc41e546f1f8d25f01e0804e8b61d">mov</a></div><div class="ttdeci">void mov(tower *From, tower *To)</div><div class="ttdef"><b>Definition</b> <a href="../../db/d3c/tower__of__hanoi_8cpp_source.html#l00039">tower_of_hanoi.cpp:39</a></div></div>
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<li class="navelem"><a href="../../dir_c11585dfcef32a26e29098facab6c144.html">backtracking</a></li><li class="navelem"><a href="../../d1/d2a/knight__tour_8cpp.html">knight_tour.cpp</a></li>
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