Documentation for 4fc14710b6
@@ -105,21 +105,20 @@ $(document).ready(function(){initNavTree('d0/d77/longest__palindromic__subsequen
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<p>Program to find the Longest Palindormic Subsequence of a string.
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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 <cassert></code><br />
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<code>#include <iostream></code><br />
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<div class="textblock"><code>#include <cassert></code><br />
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<code>#include <string></code><br />
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<code>#include <vector></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for longest_palindromic_subsequence.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../da/dc1/longest__palindromic__subsequence_8cpp__incl.svg" width="350" height="140"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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</div>
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</div>
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</div><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:a6f73ddd8cd83d784036f131dfc6540c4"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a6f73ddd8cd83d784036f131dfc6540c4">lps</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> a)</td></tr>
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<tr class="separator:a6f73ddd8cd83d784036f131dfc6540c4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4f863610aebbc218f90a7adfde240cb4"><td class="memItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4">lps</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &a)</td></tr>
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<tr class="separator:a4f863610aebbc218f90a7adfde240cb4"><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="../../d0/d77/longest__palindromic__subsequence_8cpp.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="../../d0/d77/longest__palindromic__subsequence_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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@@ -130,8 +129,8 @@ Functions</h2></td></tr>
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<p><a href="https://en.wikipedia.org/wiki/Palindrome" target="_blank">Palindrome</a> string sequence of characters which reads the same backward as forward <a href="https://en.wikipedia.org/wiki/Subsequence" target="_blank">Subsequence</a> is a sequence that can be derived from another sequence by deleting some or no elements without changing the order of the remaining elements.</p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/anjali1903" target="_blank">Anjali Jha</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a6f73ddd8cd83d784036f131dfc6540c4" name="a6f73ddd8cd83d784036f131dfc6540c4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a6f73ddd8cd83d784036f131dfc6540c4">◆ </a></span>lps()</h2>
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<a id="a4f863610aebbc218f90a7adfde240cb4" name="a4f863610aebbc218f90a7adfde240cb4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a4f863610aebbc218f90a7adfde240cb4">◆ </a></span>lps()</h2>
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<div class="memitem">
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<div class="memproto">
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@@ -139,24 +138,25 @@ Functions</h2></td></tr>
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<tr>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> lps </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> & </td>
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<td class="paramname"><em>a</em></td><td>)</td>
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<td></td>
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</tr>
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</table>
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</div><div class="memdoc">
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<p>Function that returns the longest palindromic subsequence of a string </p>
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<div class="fragment"><div class="line"><span class="lineno"> 25</span> {</div>
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<div class="line"><span class="lineno"> 26</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> b = a;</div>
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<div class="line"><span class="lineno"> 27</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/reverse.html">reverse</a>(b.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/begin.html">begin</a>(), b.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/end.html">end</a>());</div>
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<div class="line"><span class="lineno"> 28</span> <span class="keywordtype">int</span> m = a.length();</div>
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<div class="line"><span class="lineno"> 29</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a> > res(m + 1);</div>
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<p>for assert for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> Function that returns the longest palindromic subsequence of a string </p>
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<div class="fragment"><div class="line"><span class="lineno"> 24</span> {</div>
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<div class="line"><span class="lineno"> 25</span> <span class="keyword">const</span> <span class="keyword">auto</span> b = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a>(a.rbegin(), a.rend());</div>
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<div class="line"><span class="lineno"> 26</span> <span class="keyword">const</span> <span class="keyword">auto</span> m = a.length();</div>
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<div class="line"><span class="lineno"> 27</span> <span class="keyword">using </span>ind_type = std::string::size_type;</div>
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<div class="line"><span class="lineno"> 28</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<ind_type></a> > res(m + 1,</div>
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<div class="line"><span class="lineno"> 29</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<ind_type></a>(m + 1));</div>
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<div class="line"><span class="lineno"> 30</span> </div>
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<div class="line"><span class="lineno"> 31</span> <span class="comment">// Finding the length of the longest</span></div>
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<div class="line"><span class="lineno"> 32</span> <span class="comment">// palindromic subsequence and storing</span></div>
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<div class="line"><span class="lineno"> 33</span> <span class="comment">// in a 2D array in bottoms-up manner</span></div>
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<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i <= m; i++) {</div>
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<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j <= m; j++) {</div>
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<div class="line"><span class="lineno"> 34</span> <span class="keywordflow">for</span> (ind_type i = 0; i <= m; i++) {</div>
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<div class="line"><span class="lineno"> 35</span> <span class="keywordflow">for</span> (ind_type j = 0; j <= m; j++) {</div>
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<div class="line"><span class="lineno"> 36</span> <span class="keywordflow">if</span> (i == 0 || j == 0) {</div>
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<div class="line"><span class="lineno"> 37</span> res[i][j] = 0;</div>
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<div class="line"><span class="lineno"> 38</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (a[i - 1] == b[j - 1]) {</div>
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@@ -167,10 +167,10 @@ Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 43</span> }</div>
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<div class="line"><span class="lineno"> 44</span> }</div>
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<div class="line"><span class="lineno"> 45</span> <span class="comment">// Length of longest palindromic subsequence</span></div>
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<div class="line"><span class="lineno"> 46</span> <span class="keywordtype">int</span> idx = res[m][m];</div>
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<div class="line"><span class="lineno"> 46</span> <span class="keyword">auto</span> idx = res[m][m];</div>
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<div class="line"><span class="lineno"> 47</span> <span class="comment">// Creating string of index+1 length</span></div>
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<div class="line"><span class="lineno"> 48</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> ans(idx + 1, <span class="charliteral">'\0'</span>);</div>
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<div class="line"><span class="lineno"> 49</span> <span class="keywordtype">int</span> i = m, j = m;</div>
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<div class="line"><span class="lineno"> 48</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> ans(idx, <span class="charliteral">'\0'</span>);</div>
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<div class="line"><span class="lineno"> 49</span> ind_type i = m, j = m;</div>
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<div class="line"><span class="lineno"> 50</span> </div>
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<div class="line"><span class="lineno"> 51</span> <span class="comment">// starting from right-most bottom-most corner</span></div>
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<div class="line"><span class="lineno"> 52</span> <span class="comment">// and storing them one by one in ans</span></div>
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@@ -195,15 +195,12 @@ Functions</h2></td></tr>
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<div class="line"><span class="lineno"> 71</span> <span class="keywordflow">return</span> ans;</div>
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<div class="line"><span class="lineno"> 72</span>}</div>
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<div class="ttc" id="abasic_string_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a></div></div>
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<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/begin.html">std::string::begin</a></div><div class="ttdeci">T begin(T... args)</div></div>
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<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/end.html">std::string::end</a></div><div class="ttdeci">T end(T... args)</div></div>
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<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>
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<div class="ttc" id="areverse_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/reverse.html">std::reverse</a></div><div class="ttdeci">T reverse(T... args)</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d77/longest__palindromic__subsequence_8cpp_a6f73ddd8cd83d784036f131dfc6540c4_cgraph.svg" width="216" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d77/longest__palindromic__subsequence_8cpp_a4f863610aebbc218f90a7adfde240cb4_cgraph.svg" width="170" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<p>Main Function </p>
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<div class="fragment"><div class="line"><span class="lineno"> 87</span> {</div>
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<div class="line"><span class="lineno"> 88</span> <a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>(); <span class="comment">// execute the tests</span></div>
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<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 90</span>}</div>
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<div class="fragment"><div class="line"><span class="lineno"> 85</span> {</div>
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<div class="line"><span class="lineno"> 86</span> <a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a>(); <span class="comment">// execute the tests</span></div>
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<div class="line"><span class="lineno"> 87</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 88</span>}</div>
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<div class="ttc" id="alongest__palindromic__subsequence_8cpp_html_ae1a3968e7947464bee7714f6d43b7002"><div class="ttname"><a href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#ae1a3968e7947464bee7714f6d43b7002">test</a></div><div class="ttdeci">void test()</div><div class="ttdef"><b>Definition:</b> longest_palindromic_subsequence.cpp:75</div></div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="404" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d77/longest__palindromic__subsequence_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="359" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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@@ -255,18 +252,16 @@ Here is the call graph for this function:</div>
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<p>Test function </p>
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<div class="fragment"><div class="line"><span class="lineno"> 75</span> {</div>
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<div class="line"><span class="lineno"> 76</span> <span class="comment">// lps("radar") return "radar"</span></div>
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<div class="line"><span class="lineno"> 77</span> assert(<a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a6f73ddd8cd83d784036f131dfc6540c4">lps</a>(<span class="stringliteral">"radar"</span>) == <span class="stringliteral">"radar"</span>);</div>
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<div class="line"><span class="lineno"> 78</span> <span class="comment">// lps("abbcbaa") return "abcba"</span></div>
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<div class="line"><span class="lineno"> 79</span> assert(<a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a6f73ddd8cd83d784036f131dfc6540c4">lps</a>(<span class="stringliteral">"abbcbaa"</span>) == <span class="stringliteral">"abcba"</span>);</div>
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<div class="line"><span class="lineno"> 80</span> <span class="comment">// lps("bbbab") return "bbbb"</span></div>
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<div class="line"><span class="lineno"> 81</span> assert(<a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a6f73ddd8cd83d784036f131dfc6540c4">lps</a>(<span class="stringliteral">"bbbab"</span>) == <span class="stringliteral">"bbbb"</span>);</div>
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<div class="line"><span class="lineno"> 82</span>}</div>
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<div class="ttc" id="alongest__palindromic__subsequence_8cpp_html_a6f73ddd8cd83d784036f131dfc6540c4"><div class="ttname"><a href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a6f73ddd8cd83d784036f131dfc6540c4">lps</a></div><div class="ttdeci">std::string lps(std::string a)</div><div class="ttdef"><b>Definition:</b> longest_palindromic_subsequence.cpp:25</div></div>
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<div class="line"><span class="lineno"> 76</span> assert(<a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4">lps</a>(<span class="stringliteral">"radar"</span>) == <span class="stringliteral">"radar"</span>);</div>
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<div class="line"><span class="lineno"> 77</span> assert(<a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4">lps</a>(<span class="stringliteral">"abbcbaa"</span>) == <span class="stringliteral">"abcba"</span>);</div>
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<div class="line"><span class="lineno"> 78</span> assert(<a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4">lps</a>(<span class="stringliteral">"bbbab"</span>) == <span class="stringliteral">"bbbb"</span>);</div>
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<div class="line"><span class="lineno"> 79</span> assert(<a class="code hl_function" href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4">lps</a>(<span class="stringliteral">""</span>) == <span class="stringliteral">""</span>);</div>
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<div class="line"><span class="lineno"> 80</span>}</div>
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<div class="ttc" id="alongest__palindromic__subsequence_8cpp_html_a4f863610aebbc218f90a7adfde240cb4"><div class="ttname"><a href="../../d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4">lps</a></div><div class="ttdeci">std::string lps(const std::string &a)</div><div class="ttdef"><b>Definition:</b> longest_palindromic_subsequence.cpp:24</div></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.svg" width="307" height="135"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d0/d77/longest__palindromic__subsequence_8cpp_ae1a3968e7947464bee7714f6d43b7002_cgraph.svg" width="262" height="36"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe>
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@@ -1,6 +1,6 @@
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var longest__palindromic__subsequence_8cpp =
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[
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[ "lps", "d0/d77/longest__palindromic__subsequence_8cpp.html#a6f73ddd8cd83d784036f131dfc6540c4", null ],
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[ "lps", "d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4", null ],
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<li>ll : <a class="el" href="d7/d35/matrix__exponentiation_8cpp.html#ae1d1ec9482079231e898236e2b23c9ba">matrix_exponentiation.cpp</a></li>
|
||||
<li>lower() : <a class="el" href="dc/db5/text__search_8cpp.html#a3f8975d227cd0e58f298b380c5dac0d9">text_search.cpp</a></li>
|
||||
<li>lps() : <a class="el" href="d0/d77/longest__palindromic__subsequence_8cpp.html#a6f73ddd8cd83d784036f131dfc6540c4">longest_palindromic_subsequence.cpp</a></li>
|
||||
<li>lps() : <a class="el" href="d0/d77/longest__palindromic__subsequence_8cpp.html#a4f863610aebbc218f90a7adfde240cb4">longest_palindromic_subsequence.cpp</a></li>
|
||||
<li>lu_decomposition() : <a class="el" href="d1/dbe/lu__decomposition_8h.html#a75b8a228c6419ecda6077255d6d60509">lu_decomposition.h</a></li>
|
||||
</ul>
|
||||
</div><!-- contents -->
|
||||
|
||||
@@ -125,7 +125,7 @@ var NAVTREEINDEX2 =
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