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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<div class="title">dynamic_programming Namespace Reference</div> </div>
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<p>Dynamic Programming algorithms.
<a href="../../dd/d24/namespacedynamic__programming.html#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a>
Functions</h2></td></tr>
<tr class="memitem:a0a2215194e58786c34db1ccaf8031079"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d24/namespacedynamic__programming.html#a0a2215194e58786c34db1ccaf8031079">LIS</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; uint64_t &gt; &amp;a, const uint32_t &amp;n)</td></tr>
<tr class="memdesc:a0a2215194e58786c34db1ccaf8031079"><td class="mdescLeft">&#160;</td><td class="mdescRight">Calculate the longest increasing subsequence for the specified numbers. <a href="../../dd/d24/namespacedynamic__programming.html#a0a2215194e58786c34db1ccaf8031079">More...</a><br /></td></tr>
<tr class="separator:a0a2215194e58786c34db1ccaf8031079"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Dynamic Programming algorithms. </p>
<p>Dynamic programming algorithms.</p>
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></p>
<p>Dynamic Programming algorithm.</p>
<p>Dynamic Programming Algorithms.</p>
<p>for <code>assert</code> for IO operations for <code><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></code> library for <code><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></code> STL library</p>
<p>for assert for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a> for io operations</p>
<p>Dynamic Programming algorithms</p>
<p>for assert for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a> for IO operations</p>
<p>Dynamic Programming algorithms</p>
<p>for assert for IO operations</p>
<p>Dynamic Programming algorithms </p>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="a0a2215194e58786c34db1ccaf8031079"></a>
<h2 class="memtitle"><span class="permalink"><a href="#a0a2215194e58786c34db1ccaf8031079">&#9670;&nbsp;</a></span>LIS()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">uint64_t dynamic_programming::LIS </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; uint64_t &gt; &amp;&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">const uint32_t &amp;&#160;</td>
<td class="paramname"><em>n</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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<p>Calculate the longest increasing subsequence for the specified numbers. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>the array used to calculate the longest increasing subsequence </td></tr>
<tr><td class="paramname">n</td><td>the size used for the arrays </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the length of the longest increasing subsequence in the <code>a</code> array of size <code>n</code> </dd></dl>
<div class="fragment"><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; {</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> lis(n);</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160; lis[i] = 1;</div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; }</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j &lt; i; ++j) {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160; <span class="keywordflow">if</span> (a[i] &gt; a[j] &amp;&amp; lis[i] &lt; lis[j] + 1) {</div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>&#160; lis[i] = lis[j] + 1;</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>&#160; }</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>&#160; }</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160; }</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keywordtype">int</span> res = 0;</div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; ++i) {</div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; res = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(res, lis[i]);</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; }</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keywordflow">return</span> res;</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;}</div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt; int &gt;</a></div></div>
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