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<div class="headertitle"><div class="title">sudoku_solver.cpp</div></div>
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<div class="contents">
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<a href="../../d3/d05/sudoku__solver_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="l00018" name="l00018"></a><span class="lineno"> 18</span><span class="preprocessor">#include <array></span> </div>
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<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="preprocessor">#include <iostream></span> </div>
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<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span></div>
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<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>
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<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="../../d8/d9f/namespacesudoku__solver.html">sudoku_solver</a> {</div>
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<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span><span class="keyword">template</span> <<span class="keywordtype">size_t</span> V></div>
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<div class="foldopen" id="foldopen00044" data-start="{" data-end="}">
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<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"><a class="line" href="../../d3/d05/sudoku__solver_8cpp.html#a07dc6acffd0500de9bdbf16b3ade94b0"> 44</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#a07dc6acffd0500de9bdbf16b3ade94b0">isPossible</a>(<span class="keyword">const</span> std::array<std::array<int, V>, V> &mat, <span class="keywordtype">int</span> i, <span class="keywordtype">int</span> j,</div>
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<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordtype">int</span> no, <span class="keywordtype">int</span> n) {</div>
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<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> x = 0; x < n; x++) {</div>
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<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <span class="keywordflow">if</span> (mat[x][j] == no || mat[i][x] == no) {</div>
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<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
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<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> }</div>
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<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span></div>
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<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> <span class="keywordtype">int</span> sx = (i / 3) * 3;</div>
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<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordtype">int</span> sy = (j / 3) * 3;</div>
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<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> </div>
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<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> x = sx; x < sx + 3; x++) {</div>
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<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> y = sy; y < sy + 3; y++) {</div>
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<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">if</span> (mat[x][y] == no) {</div>
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<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>
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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="l00062" name="l00062"></a><span class="lineno"> 62</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">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span>}</div>
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</div>
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<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span></div>
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<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="keyword">template</span> <<span class="keywordtype">size_t</span> V></div>
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<div class="foldopen" id="foldopen00077" data-start="{" data-end="}">
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<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"><a class="line" href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac"> 77</a></span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac">printMat</a>(<span class="keyword">const</span> std::array<std::array<int, V>, V> &mat,</div>
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<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span> <span class="keyword">const</span> std::array<std::array<int, V>, V> &starting_mat, <span class="keywordtype">int</span> n) {</div>
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<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</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 id="l00080" name="l00080"></a><span class="lineno"> 80</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 id="l00081" name="l00081"></a><span class="lineno"> 81</span> <span class="keywordflow">if</span> (starting_mat[i][j] != mat[i][j]) {</div>
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<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> std::cout << <span class="stringliteral">"\033[93m"</span> << mat[i][j] << <span class="stringliteral">"\033[0m"</span></div>
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<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> << <span class="stringliteral">" "</span>;</div>
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<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> std::cout << mat[i][j] << <span class="stringliteral">" "</span>;</div>
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<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> }</div>
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<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> <span class="keywordflow">if</span> ((j + 1) % 3 == 0) {</div>
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<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> std::cout << <span class="charliteral">'\t'</span>;</div>
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<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> }</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> <span class="keywordflow">if</span> ((i + 1) % 3 == 0) {</div>
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<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> std::cout << std::endl;</div>
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<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> }</div>
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<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> std::cout << std::endl;</div>
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<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> }</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>
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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="l00109" name="l00109"></a><span class="lineno"> 109</span><span class="keyword">template</span> <<span class="keywordtype">size_t</span> V></div>
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<div class="foldopen" id="foldopen00110" data-start="{" data-end="}">
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<div class="line"><a id="l00110" name="l00110"></a><span class="lineno"><a class="line" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b"> 110</a></span><span class="keywordtype">bool</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">solveSudoku</a>(std::array<std::array<int, V>, V> &mat,</div>
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<div class="line"><a id="l00111" name="l00111"></a><span class="lineno"> 111</span> <span class="keyword">const</span> std::array<std::array<int, V>, V> &starting_mat, <span class="keywordtype">int</span> i,</div>
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<div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span> <span class="keywordtype">int</span> j) {</div>
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<div class="line"><a id="l00114" name="l00114"></a><span class="lineno"> 114</span> <span class="keywordflow">if</span> (i == 9) {</div>
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<div class="line"><a id="l00116" name="l00116"></a><span class="lineno"> 116</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac">printMat<V></a>(mat, starting_mat, 9);</div>
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<div class="line"><a id="l00117" name="l00117"></a><span class="lineno"> 117</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> }</div>
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<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</span></div>
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<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> <span class="keywordflow">if</span> (j == 9) {</div>
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<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">solveSudoku<V></a>(mat, starting_mat, i + 1, 0);</div>
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<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> }</div>
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<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span></div>
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<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> <span class="keywordflow">if</span> (mat[i][j] != 0) {</div>
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<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> <span class="keywordflow">return</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">solveSudoku<V></a>(mat, starting_mat, i, j + 1);</div>
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<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> }</div>
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<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> no = 1; no <= 9; no++) {</div>
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<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#a07dc6acffd0500de9bdbf16b3ade94b0">isPossible<V></a>(mat, i, j, no, 9)) {</div>
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<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> mat[i][j] = no;</div>
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<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordtype">bool</span> solution_found = <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">solveSudoku<V></a>(mat, starting_mat, i, j + 1);</div>
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<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> <span class="keywordflow">if</span> (solution_found) {</div>
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<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
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<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> }</div>
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<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
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<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> }</div>
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<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span> mat[i][j] = 0;</div>
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<div class="line"><a id="l00145" name="l00145"></a><span class="lineno"> 145</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
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<div class="line"><a id="l00146" name="l00146"></a><span class="lineno"> 146</span>}</div>
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</div>
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<div class="line"><a id="l00147" name="l00147"></a><span class="lineno"> 147</span>} <span class="comment">// namespace sudoku_solver</span></div>
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<div class="line"><a id="l00148" name="l00148"></a><span class="lineno"> 148</span>} <span class="comment">// namespace backtracking</span></div>
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<div class="line"><a id="l00149" name="l00149"></a><span class="lineno"> 149</span></div>
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<div class="foldopen" id="foldopen00154" data-start="{" data-end="}">
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<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"><a class="line" href="../../d3/d05/sudoku__solver_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4"> 154</a></span><span class="keywordtype">int</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
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<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <span class="keyword">const</span> <span class="keywordtype">int</span> V = 9;</div>
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<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> std::array<std::array<int, V>, V> mat = {</div>
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<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> std::array<int, V>{5, 3, 0, 0, 7, 0, 0, 0, 0},</div>
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<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> std::array<int, V>{6, 0, 0, 1, 9, 5, 0, 0, 0},</div>
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<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> std::array<int, V>{0, 9, 8, 0, 0, 0, 0, 6, 0},</div>
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<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> std::array<int, V>{8, 0, 0, 0, 6, 0, 0, 0, 3},</div>
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<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> std::array<int, V>{4, 0, 0, 8, 0, 3, 0, 0, 1},</div>
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<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> std::array<int, V>{7, 0, 0, 0, 2, 0, 0, 0, 6},</div>
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<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> std::array<int, V>{0, 6, 0, 0, 0, 0, 2, 8, 0},</div>
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<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> std::array<int, V>{0, 0, 0, 4, 1, 9, 0, 0, 5},</div>
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<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> std::array<int, V>{0, 0, 0, 0, 8, 0, 0, 7, 9}};</div>
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<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> </div>
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<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac">backtracking::sudoku_solver::printMat<V></a>(mat, mat, 9);</div>
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<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> std::cout << <span class="stringliteral">"Solution "</span> << std::endl;</div>
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<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> std::array<std::array<int, V>, V> starting_mat = mat;</div>
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<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> <a class="code hl_function" href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">backtracking::sudoku_solver::solveSudoku<V></a>(mat, starting_mat, 0, 0);</div>
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<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> </div>
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<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span>}</div>
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</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="anamespacesudoku__solver_html"><div class="ttname"><a href="../../d8/d9f/namespacesudoku__solver.html">sudoku_solver</a></div><div class="ttdoc">Functions for the Sudoku Solver implementation.</div></div>
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<div class="ttc" id="asudoku__solver_8cpp_html_a07dc6acffd0500de9bdbf16b3ade94b0"><div class="ttname"><a href="../../d3/d05/sudoku__solver_8cpp.html#a07dc6acffd0500de9bdbf16b3ade94b0">backtracking::sudoku_solver::isPossible</a></div><div class="ttdeci">bool isPossible(const std::array< std::array< int, V >, V > &mat, int i, int j, int no, int n)</div><div class="ttdoc">Check if it's possible to place a number (no parameter)</div><div class="ttdef"><b>Definition</b> <a href="#l00044">sudoku_solver.cpp:44</a></div></div>
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<div class="ttc" id="asudoku__solver_8cpp_html_ab040a12d7684cd85fb3684f4211ea5ac"><div class="ttname"><a href="../../d3/d05/sudoku__solver_8cpp.html#ab040a12d7684cd85fb3684f4211ea5ac">backtracking::sudoku_solver::printMat</a></div><div class="ttdeci">void printMat(const std::array< std::array< int, V >, V > &mat, const std::array< std::array< int, V >, V > &starting_mat, int n)</div><div class="ttdoc">Utility function to print the matrix.</div><div class="ttdef"><b>Definition</b> <a href="#l00077">sudoku_solver.cpp:77</a></div></div>
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<div class="ttc" id="asudoku__solver_8cpp_html_ac911c8bca8556206ff64461b2424866b"><div class="ttname"><a href="../../d3/d05/sudoku__solver_8cpp.html#ac911c8bca8556206ff64461b2424866b">backtracking::sudoku_solver::solveSudoku</a></div><div class="ttdeci">bool solveSudoku(std::array< std::array< int, V >, V > &mat, const std::array< std::array< int, V >, V > &starting_mat, int i, int j)</div><div class="ttdoc">Main function to implement the Sudoku algorithm.</div><div class="ttdef"><b>Definition</b> <a href="#l00110">sudoku_solver.cpp:110</a></div></div>
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<div class="ttc" id="asudoku__solver_8cpp_html_ae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../d3/d05/sudoku__solver_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="#l00154">sudoku_solver.cpp:154</a></div></div>
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