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<p>returns which is the longest/shortest number using <a href="https://en.wikipedia.org/wiki/Minimax" target="_blank">minimax</a> algorithm
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <algorithm></code><br />
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<code>#include <array></code><br />
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<code>#include <cmath></code><br />
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<code>#include <iostream></code><br />
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Include dependency graph for minimax.cpp:</div>
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<div class="center"><iframe scrolling="no" loading="lazy" frameborder="0" src="../../df/d36/minimax_8cpp__incl.svg" width="336" height="111"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<p><a href="../../df/dfb/minimax_8cpp_source.html">Go to the source code of this file.</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 id="header-namespaces" class="groupheader"><a id="namespaces" name="namespaces"></a>
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Namespaces</h2></td></tr>
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<tr class="memitem:backtracking" id="r_backtracking"><td class="memItemLeft" align="right" valign="top">namespace  </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">for vector container <br /></td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 id="header-func-members" 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:a78540bcb5ef3473b2348cbc34748ec50" id="r_a78540bcb5ef3473b2348cbc34748ec50"><td class="memTemplParams" colspan="2">template<size_t T> </td></tr>
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<tr class="memitem:a78540bcb5ef3473b2348cbc34748ec50 template"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html#a78540bcb5ef3473b2348cbc34748ec50">backtracking::minimax</a> (int depth, int node_index, bool is_max, const std::array< int, T > &scores, double <a class="el" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>)</td></tr>
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<tr class="memdesc:a78540bcb5ef3473b2348cbc34748ec50"><td class="mdescLeft"> </td><td class="mdescRight">Check which is the maximum/minimum number in the array. <br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft"> </td><td class="mdescRight">Main function. <br /></td></tr>
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</table>
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<a name="details" id="details"></a><h2 id="header-details" class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>returns which is the longest/shortest number using <a href="https://en.wikipedia.org/wiki/Minimax" target="_blank">minimax</a> algorithm </p>
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<p>Minimax (sometimes MinMax, MM or saddle point) is a decision rule used in artificial intelligence, decision theory, game theory, statistics, and philosophy for minimizing the possible loss for a worst case (maximum loss) scenario. When dealing with gains, it is referred to as "maximin"—to maximize the minimum gain. Originally formulated for two-player zero-sum game theory, covering both the cases where players take alternate moves and those where they make simultaneous moves, it has also been extended to more complex games and to general decision-making in the presence of uncertainty.</p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/gleisonbs" target="_blank">Gleison Batista</a> </dd>
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<dd>
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<a href="https://github.com/Panquesito7" target="_blank">David Leal</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../df/dfb/minimax_8cpp_source.html">minimax.cpp</a>.</p>
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</div><a name="doc-func-members" id="doc-func-members"></a><h2 id="header-doc-func-members" 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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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
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<td></td>
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<p>Main function. </p>
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<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../df/dfb/minimax_8cpp_source.html#l00056">56</a> of file <a class="el" href="../../df/dfb/minimax_8cpp_source.html">minimax.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 56</span> {</div>
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<div class="line"><span class="lineno"> 57</span> std::array<int, 8> scores = {90, 23, 6, 33, 21, 65, 123, 34423};</div>
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<div class="line"><span class="lineno"> 58</span> <span class="keywordtype">double</span> <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a> = log2(scores.size());</div>
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<div class="line"><span class="lineno"> 59</span> </div>
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<div class="line"><span class="lineno"> 60</span> std::cout << <span class="stringliteral">"Optimal value: "</span></div>
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<div class="line"><span class="lineno"> 61</span> << <a class="code hl_function" href="../../db/dc0/namespacebacktracking.html#a78540bcb5ef3473b2348cbc34748ec50">backtracking::minimax</a>(0, 0, <span class="keyword">true</span>, scores, <a class="code hl_function" href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a>) << std::endl;</div>
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<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 63</span>}</div>
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<div class="ttc" id="aavltree_8cpp_html_ae4a66d8b0c2b0d626aea45977e358c83"><div class="ttname"><a href="../../d8/dee/avltree_8cpp.html#ae4a66d8b0c2b0d626aea45977e358c83">height</a></div><div class="ttdeci">int height(node *root)</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dee/avltree_8cpp_source.html#l00038">avltree.cpp:38</a></div></div>
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<div class="ttc" id="anamespacebacktracking_html_a78540bcb5ef3473b2348cbc34748ec50"><div class="ttname"><a href="../../db/dc0/namespacebacktracking.html#a78540bcb5ef3473b2348cbc34748ec50">backtracking::minimax</a></div><div class="ttdeci">int minimax(int depth, int node_index, bool is_max, const std::array< int, T > &scores, double height)</div><div class="ttdoc">Check which is the maximum/minimum number in the array.</div><div class="ttdef"><b>Definition</b> <a href="../../df/dfb/minimax_8cpp_source.html#l00039">minimax.cpp:39</a></div></div>
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