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<div id="projectname">Algorithms_in_C<span id="projectnumber"> 1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C.</div>
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<a href="#nested-classes">Data Structures</a> |
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<div class="headertitle"><div class="title">sudoku_solver.c File Reference</div></div>
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<p>Sudoku Solver using recursive implementation of brute-force algorithm.
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <assert.h></code><br />
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<code>#include <inttypes.h></code><br />
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<code>#include <math.h></code><br />
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<code>#include <stdbool.h></code><br />
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<code>#include <stdio.h></code><br />
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<code>#include <stdlib.h></code><br />
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<code>#include <string.h></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for sudoku_solver.c:</div>
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<div class="dyncontent">
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</div><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="nested-classes" name="nested-classes"></a>
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Data Structures</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">struct  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../dc/d18/structsudoku.html">sudoku</a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Structure to hold the matrix and dimensions. <a href="../../dc/d18/structsudoku.html#details">More...</a><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 id="func-members" name="func-members"></a>
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Functions</h2></td></tr>
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<tr class="memitem:ga85d25d3b40017436f264a103685e4c55"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df4/group__sudoku.html#ga85d25d3b40017436f264a103685e4c55">OKrow</a> (const struct <a class="el" href="../../dc/d18/structsudoku.html">sudoku</a> *a, int x, int y, int v)</td></tr>
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<tr class="memdesc:ga85d25d3b40017436f264a103685e4c55"><td class="mdescLeft"> </td><td class="mdescRight">Check if <code>x</code>^th row is valid. <a href="../../d5/df4/group__sudoku.html#ga85d25d3b40017436f264a103685e4c55">More...</a><br /></td></tr>
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<tr class="separator:ga85d25d3b40017436f264a103685e4c55"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga6503128d4f5ce0a0826f72f73f9e0b2a"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df4/group__sudoku.html#ga6503128d4f5ce0a0826f72f73f9e0b2a">OKcol</a> (const struct <a class="el" href="../../dc/d18/structsudoku.html">sudoku</a> *a, int x, int y, int v)</td></tr>
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<tr class="memdesc:ga6503128d4f5ce0a0826f72f73f9e0b2a"><td class="mdescLeft"> </td><td class="mdescRight">Check if <code>y</code>^th column is valid. <a href="../../d5/df4/group__sudoku.html#ga6503128d4f5ce0a0826f72f73f9e0b2a">More...</a><br /></td></tr>
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<tr class="separator:ga6503128d4f5ce0a0826f72f73f9e0b2a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga1cd43df3f4187845ce186042fe53e6f1"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df4/group__sudoku.html#ga1cd43df3f4187845ce186042fe53e6f1">OKbox</a> (const struct <a class="el" href="../../dc/d18/structsudoku.html">sudoku</a> *a, int x, int y, int v)</td></tr>
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<tr class="memdesc:ga1cd43df3f4187845ce186042fe53e6f1"><td class="mdescLeft"> </td><td class="mdescRight">Check if a 3x3 box is valid. <a href="../../d5/df4/group__sudoku.html#ga1cd43df3f4187845ce186042fe53e6f1">More...</a><br /></td></tr>
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<tr class="separator:ga1cd43df3f4187845ce186042fe53e6f1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga3a0ec150ac9d0cb6b28279d36d95d72f"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df4/group__sudoku.html#ga3a0ec150ac9d0cb6b28279d36d95d72f">OK</a> (const struct <a class="el" href="../../dc/d18/structsudoku.html">sudoku</a> *a, int x, int y, int v)</td></tr>
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<tr class="memdesc:ga3a0ec150ac9d0cb6b28279d36d95d72f"><td class="mdescLeft"> </td><td class="mdescRight">Check if element <code>v</code> is valid to place at (x,y) location. <a href="../../d5/df4/group__sudoku.html#ga3a0ec150ac9d0cb6b28279d36d95d72f">More...</a><br /></td></tr>
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<tr class="separator:ga3a0ec150ac9d0cb6b28279d36d95d72f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga702ff4f95dde780c7d04fcdd1021b6c1"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df4/group__sudoku.html#ga702ff4f95dde780c7d04fcdd1021b6c1">print</a> (const struct <a class="el" href="../../dc/d18/structsudoku.html">sudoku</a> *a)</td></tr>
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<tr class="memdesc:ga702ff4f95dde780c7d04fcdd1021b6c1"><td class="mdescLeft"> </td><td class="mdescRight">Print the matrix to stdout. <a href="../../d5/df4/group__sudoku.html#ga702ff4f95dde780c7d04fcdd1021b6c1">More...</a><br /></td></tr>
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<tr class="separator:ga702ff4f95dde780c7d04fcdd1021b6c1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ga62e94fc39f116e2c81daed8f5437431b"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df4/group__sudoku.html#ga62e94fc39f116e2c81daed8f5437431b">get_next_unknown</a> (const struct <a class="el" href="../../dc/d18/structsudoku.html">sudoku</a> *a, int *x, int *y)</td></tr>
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<tr class="memdesc:ga62e94fc39f116e2c81daed8f5437431b"><td class="mdescLeft"> </td><td class="mdescRight">Find and get the location for next empty cell. <a href="../../d5/df4/group__sudoku.html#ga62e94fc39f116e2c81daed8f5437431b">More...</a><br /></td></tr>
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<tr class="separator:ga62e94fc39f116e2c81daed8f5437431b"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:gadfe0ed5085b4775d8fa00b434cc0fdfc"><td class="memItemLeft" align="right" valign="top">bool </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/df4/group__sudoku.html#gadfe0ed5085b4775d8fa00b434cc0fdfc">solve</a> (struct <a class="el" href="../../dc/d18/structsudoku.html">sudoku</a> *a)</td></tr>
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<tr class="memdesc:gadfe0ed5085b4775d8fa00b434cc0fdfc"><td class="mdescLeft"> </td><td class="mdescRight">Function to solve a partially filled sudoku matrix. <a href="../../d5/df4/group__sudoku.html#gadfe0ed5085b4775d8fa00b434cc0fdfc">More...</a><br /></td></tr>
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<tr class="separator:gadfe0ed5085b4775d8fa00b434cc0fdfc"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ae1a3968e7947464bee7714f6d43b7002"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/dac/sudoku__solver_8c.html#ae1a3968e7947464bee7714f6d43b7002">test</a> ()</td></tr>
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<tr class="separator:ae1a3968e7947464bee7714f6d43b7002"><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="../../de/dac/sudoku__solver_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <a href="../../de/dac/sudoku__solver_8c.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
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<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2"> </td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p >Sudoku Solver using recursive implementation of brute-force algorithm. </p>
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<p >Given an incomplete N*N Sudoku and asked to solve it using the following recursive algorithm:</p><ol type="1">
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<li>Scan the Sudoku from left to right row-wise to search for an empty cell.</li>
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<li>If there are no empty cells, print the Sudoku. Go to step 5.</li>
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<li>In the empty cell, try putting numbers 1 to N while ensuring that no two numbers in a single row, column, or box are same. Go back to step 1.</li>
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<li>Declare that the Sudoku is Invalid.</li>
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<li>Exit.</li>
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</ol>
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<dl class="section author"><dt>Authors</dt><dd><a href="https://github.com/anujms1999" target="_blank">Anuj Shah</a> </dd>
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<dd>
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<a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="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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</div><div class="memdoc">
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<p>Main function. </p>
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<div class="fragment"><div class="line"><span class="lineno"> 247</span>{</div>
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<div class="line"><span class="lineno"> 248</span> <a class="code hl_function" href="../../d8/d30/decimal__to__binary__recursion_8c.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
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<div class="line"><span class="lineno"> 249</span> </div>
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<div class="line"><span class="lineno"> 250</span> <span class="keyword">struct </span><a class="code hl_struct" href="../../dc/d18/structsudoku.html">sudoku</a> <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>; <span class="comment">// store the matrix as a 1D array</span></div>
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<div class="line"><span class="lineno"> 251</span> scanf(<span class="stringliteral">"%"</span> SCNu8, &(<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N));</div>
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<div class="line"><span class="lineno"> 252</span> <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.a = (uint8_t *)<a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a>(<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N * <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N * <span class="keyword">sizeof</span>(uint8_t));</div>
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<div class="line"><span class="lineno"> 253</span> <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N2 = (uint8_t)sqrt(<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N);</div>
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<div class="line"><span class="lineno"> 254</span> </div>
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<div class="line"><span class="lineno"> 255</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N; i++)</div>
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<div class="line"><span class="lineno"> 256</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N; j++) scanf(<span class="stringliteral">"%"</span> SCNu8, &(<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.a[i * <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N + j]));</div>
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<div class="line"><span class="lineno"> 257</span> </div>
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<div class="line"><span class="lineno"> 258</span> printf(<span class="stringliteral">"Entered a %udx%ud matrix with block size: %"</span> SCNu8 <span class="stringliteral">"\n"</span>, <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N, <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N,</div>
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<div class="line"><span class="lineno"> 259</span> <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N2);</div>
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<div class="line"><span class="lineno"> 260</span> <span class="comment">// print(&a);</span></div>
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<div class="line"><span class="lineno"> 261</span> printf(<span class="stringliteral">"\n\n"</span>);</div>
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<div class="line"><span class="lineno"> 262</span> <span class="keywordflow">if</span> (<a class="code hl_function" href="../../d5/df4/group__sudoku.html#gadfe0ed5085b4775d8fa00b434cc0fdfc">solve</a>(&<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>))</div>
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<div class="line"><span class="lineno"> 263</span> printf(<span class="stringliteral">"Valid solution found!\n"</span>);</div>
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<div class="line"><span class="lineno"> 264</span> <span class="keywordflow">else</span></div>
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<div class="line"><span class="lineno"> 265</span> printf(<span class="stringliteral">"Invalid\n"</span>);</div>
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<div class="line"><span class="lineno"> 266</span> <a class="code hl_function" href="../../d5/df4/group__sudoku.html#ga702ff4f95dde780c7d04fcdd1021b6c1">print</a>(&<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>);</div>
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<div class="line"><span class="lineno"> 267</span> </div>
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<div class="line"><span class="lineno"> 268</span> <a class="code hl_define" href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a>(<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.a);</div>
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<div class="line"><span class="lineno"> 269</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 270</span>}</div>
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<div class="ttc" id="adecimal__to__binary__recursion_8c_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d8/d30/decimal__to__binary__recursion_8c.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">void test()</div><div class="ttdoc">Test function.</div><div class="ttdef"><b>Definition:</b> decimal_to_binary_recursion.c:20</div></div>
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<div class="ttc" id="agroup__sudoku_html_ga702ff4f95dde780c7d04fcdd1021b6c1"><div class="ttname"><a href="../../d5/df4/group__sudoku.html#ga702ff4f95dde780c7d04fcdd1021b6c1">print</a></div><div class="ttdeci">void print(const struct sudoku *a)</div><div class="ttdoc">Print the matrix to stdout.</div><div class="ttdef"><b>Definition:</b> sudoku_solver.c:126</div></div>
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<div class="ttc" id="agroup__sudoku_html_gadfe0ed5085b4775d8fa00b434cc0fdfc"><div class="ttname"><a href="../../d5/df4/group__sudoku.html#gadfe0ed5085b4775d8fa00b434cc0fdfc">solve</a></div><div class="ttdeci">bool solve(struct sudoku *a)</div><div class="ttdoc">Function to solve a partially filled sudoku matrix.</div><div class="ttdef"><b>Definition:</b> sudoku_solver.c:172</div></div>
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<div class="ttc" id="amalloc__dbg_8h_html_a725f50ecaf1959d96de79b36b4788fee"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#a725f50ecaf1959d96de79b36b4788fee">malloc</a></div><div class="ttdeci">#define malloc(bytes)</div><div class="ttdoc">This macro replace the standard malloc function with malloc_dbg.</div><div class="ttdef"><b>Definition:</b> malloc_dbg.h:18</div></div>
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<div class="ttc" id="amalloc__dbg_8h_html_a9cc854374299a1dd933bf62029761768"><div class="ttname"><a href="../../d2/ddd/malloc__dbg_8h.html#a9cc854374299a1dd933bf62029761768">free</a></div><div class="ttdeci">#define free(ptr)</div><div class="ttdoc">This macro replace the standard free function with free_dbg.</div><div class="ttdef"><b>Definition:</b> malloc_dbg.h:26</div></div>
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<div class="ttc" id="astructsudoku_html"><div class="ttname"><a href="../../dc/d18/structsudoku.html">sudoku</a></div><div class="ttdoc">Structure to hold the matrix and dimensions.</div><div class="ttdef"><b>Definition:</b> sudoku_solver.c:33</div></div>
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<div class="ttc" id="astructsudoku_html_a507f788b793d4d3d6f6a70415be84ded"><div class="ttname"><a href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">sudoku::a</a></div><div class="ttdeci">uint8_t * a</div><div class="ttdoc">matrix as a flattened 1D row-major array</div><div class="ttdef"><b>Definition:</b> sudoku_solver.c:34</div></div>
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Here is the call graph for this function:</div>
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<a id="ae1a3968e7947464bee7714f6d43b7002" name="ae1a3968e7947464bee7714f6d43b7002"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae1a3968e7947464bee7714f6d43b7002">◆ </a></span>test()</h2>
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<td class="memname">void test </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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<div class="fragment"><div class="line"><span class="lineno"> 222</span>{</div>
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<div class="line"><span class="lineno"> 223</span> printf(<span class="stringliteral">"Test begin...\n"</span>);</div>
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<div class="line"><span class="lineno"> 224</span> </div>
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<div class="line"><span class="lineno"> 225</span> uint8_t test_array[] = {3, 0, 6, 5, 0, 8, 4, 0, 0, 5, 2, 0, 0, 0, 0, 0, 0,</div>
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<div class="line"><span class="lineno"> 226</span> 0, 0, 8, 7, 0, 0, 0, 0, 3, 1, 0, 0, 3, 0, 1, 0, 0,</div>
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<div class="line"><span class="lineno"> 227</span> 8, 0, 9, 0, 0, 8, 6, 3, 0, 0, 5, 0, 5, 0, 0, 9, 0,</div>
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<div class="line"><span class="lineno"> 228</span> 6, 0, 0, 1, 3, 0, 0, 0, 0, 2, 5, 0, 0, 0, 0, 0, 0,</div>
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<div class="line"><span class="lineno"> 229</span> 0, 0, 7, 4, 0, 0, 5, 2, 0, 6, 3, 0, 0};</div>
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<div class="line"><span class="lineno"> 230</span> <span class="keyword">struct </span><a class="code hl_struct" href="../../dc/d18/structsudoku.html">sudoku</a> <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a> = {.N = 9, .N2 = 3, .a = test_array};</div>
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<div class="line"><span class="lineno"> 231</span> assert(<a class="code hl_function" href="../../d5/df4/group__sudoku.html#gadfe0ed5085b4775d8fa00b434cc0fdfc">solve</a>(&<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>)); <span class="comment">// ensure that solution is obtained</span></div>
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<div class="line"><span class="lineno"> 232</span> </div>
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<div class="line"><span class="lineno"> 233</span> uint8_t expected[] = {3, 1, 6, 5, 7, 8, 4, 9, 2, 5, 2, 9, 1, 3, 4, 7, 6,</div>
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<div class="line"><span class="lineno"> 234</span> 8, 4, 8, 7, 6, 2, 9, 5, 3, 1, 2, 6, 3, 4, 1, 5, 9,</div>
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<div class="line"><span class="lineno"> 235</span> 8, 7, 9, 7, 4, 8, 6, 3, 1, 2, 5, 8, 5, 1, 7, 9, 2,</div>
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<div class="line"><span class="lineno"> 236</span> 6, 4, 3, 1, 3, 8, 9, 4, 7, 2, 5, 6, 6, 9, 2, 3, 5,</div>
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<div class="line"><span class="lineno"> 237</span> 1, 8, 7, 4, 7, 4, 5, 2, 8, 6, 3, 1, 9};</div>
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<div class="line"><span class="lineno"> 238</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N; i++)</div>
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<div class="line"><span class="lineno"> 239</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N; j++)</div>
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<div class="line"><span class="lineno"> 240</span> assert(<a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.a[i * <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N + j] == expected[i * <a class="code hl_variable" href="../../dc/d18/structsudoku.html#a507f788b793d4d3d6f6a70415be84ded">a</a>.N + j]);</div>
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<div class="line"><span class="lineno"> 241</span> </div>
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<div class="line"><span class="lineno"> 242</span> printf(<span class="stringliteral">"Test passed\n"</span>);</div>
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<div class="line"><span class="lineno"> 243</span>}</div>
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