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<div id="projectname">TheAlgorithms/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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@@ -123,7 +140,9 @@ Include dependency graph for manacher_algorithm.cpp:</div>
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<div class="dyncontent">
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../dd/d05/manacher__algorithm_8cpp__incl.svg" width="420" 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="../../d3/d39/manacher__algorithm_8cpp_source.html">Go to the source code of this file.</a></p>
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Namespaces</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../df/dcb/namespacestrings.html">strings</a></td></tr>
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@@ -135,7 +154,7 @@ Namespaces</h2></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:a95e6a2976bb2f332898f373941d52098" id="r_a95e6a2976bb2f332898f373941d52098"><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="#a95e6a2976bb2f332898f373941d52098">strings::manacher::manacher</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &prototype)</td></tr>
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<tr class="memitem:a95e6a2976bb2f332898f373941d52098" id="r_a95e6a2976bb2f332898f373941d52098"><td class="memItemLeft" align="right" valign="top">std::string </td><td class="memItemRight" valign="bottom"><a class="el" href="#a95e6a2976bb2f332898f373941d52098">strings::manacher::manacher</a> (const std::string &prototype)</td></tr>
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<tr class="memdesc:a95e6a2976bb2f332898f373941d52098"><td class="mdescLeft"> </td><td class="mdescRight">A function that implements Manacher's algorithm. <br /></td></tr>
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<tr class="separator:a95e6a2976bb2f332898f373941d52098"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
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@@ -148,6 +167,8 @@ Functions</h2></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p>Implementation of <a href="https://en.wikipedia.org/wiki/Longest_palindromic_substring" target="_blank">Manacher's Algorithm</a> </p>
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<p>Manacher's Algorithm is used to find the longest palindromic substring within a string in O(n) time. It exploits the property of a palindrome that its first half is symmetric to the last half, and thus if the first half is a palindrome, then last half is also a palindrome. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/riti2409" target="_blank">Riti Kumari</a> </dd></dl>
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<p class="definition">Definition in file <a class="el" href="../../d3/d39/manacher__algorithm_8cpp_source.html">manacher_algorithm.cpp</a>.</p>
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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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@@ -166,17 +187,14 @@ Functions</h2></td></tr>
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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="../../d3/d39/manacher__algorithm_8cpp_source.html#l00172">172</a> of file <a class="el" href="../../d3/d39/manacher__algorithm_8cpp_source.html">manacher_algorithm.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 172</span> {</div>
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<div class="line"><span class="lineno"> 173</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
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<div class="line"><span class="lineno"> 174</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><span class="lineno"> 175</span>}</div>
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<div class="ttc" id="amanacher__algorithm_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> manacher_algorithm.cpp:151</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="../../d3/d39/manacher__algorithm_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="271" height="36"><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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<div class="ttc" id="amanacher__algorithm_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementations.</div><div class="ttdef"><b>Definition</b> <a href="../../d3/d39/manacher__algorithm_8cpp_source.html#l00151">manacher_algorithm.cpp:151</a></div></div>
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<a id="a95e6a2976bb2f332898f373941d52098" name="a95e6a2976bb2f332898f373941d52098"></a>
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<div class="memproto">
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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> strings::manacher::manacher </td>
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<td class="memname">std::string strings::manacher::manacher </td>
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<td>(</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> <td class="paramname"><span class="paramname"><em>prototype</em></span></td><td>)</td>
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<td class="paramtype">const std::string &</td> <td class="paramname"><span class="paramname"><em>prototype</em></span></td><td>)</td>
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<td></td>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>the largest palindromic substring </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../d3/d39/manacher__algorithm_8cpp_source.html#l00041">41</a> of file <a class="el" href="../../d3/d39/manacher__algorithm_8cpp_source.html">manacher_algorithm.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 41</span> {</div>
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<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">if</span> (prototype.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() > 0) {</div>
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<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">if</span> (prototype.size() > 0) {</div>
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<div class="line"><span class="lineno"> 43</span> <span class="comment">// stuffing characters between the input string to handle cases with</span></div>
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<div class="line"><span class="lineno"> 44</span> <span class="comment">// even length palindrome</span></div>
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<div class="line"><span class="lineno"> 45</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> stuffed_string = <span class="stringliteral">""</span>;</div>
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<div class="line"><span class="lineno"> 45</span> std::string stuffed_string = <span class="stringliteral">""</span>;</div>
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<div class="line"><span class="lineno"> 46</span> <span class="keywordflow">for</span> (<span class="keyword">auto</span> str : prototype) {</div>
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<div class="line"><span class="lineno"> 47</span> stuffed_string += str;</div>
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<div class="line"><span class="lineno"> 48</span> stuffed_string += <span class="stringliteral">"#"</span>;</div>
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<div class="line"><span class="lineno"> 49</span> }</div>
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<div class="line"><span class="lineno"> 50</span> stuffed_string = <span class="stringliteral">"@#"</span> + stuffed_string + <span class="stringliteral">"&"</span>;</div>
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<div class="line"><span class="lineno"> 51</span> </div>
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<div class="line"><span class="lineno"> 52</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<uint64_t></a> palindrome_max_half_length(</div>
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<div class="line"><span class="lineno"> 53</span> stuffed_string.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>(),</div>
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<div class="line"><span class="lineno"> 52</span> std::vector<uint64_t> palindrome_max_half_length(</div>
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<div class="line"><span class="lineno"> 53</span> stuffed_string.size(),</div>
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<div class="line"><span class="lineno"> 54</span> 0); <span class="comment">// this array will consist of largest possible half length of</span></div>
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<div class="line"><span class="lineno"> 55</span> <span class="comment">// palindrome centered at index (say i with respect to the</span></div>
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<div class="line"><span class="lineno"> 56</span> <span class="comment">// stuffed string). This value will be lower bound of half</span></div>
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@@ -225,12 +245,12 @@ Here is the call graph for this function:</div>
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<div class="line"><span class="lineno"> 61</span> <span class="comment">// substring which would be considered as the larger</span></div>
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<div class="line"><span class="lineno"> 62</span> <span class="comment">// palindrome, having symmetric halves</span></div>
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<div class="line"><span class="lineno"> 63</span> </div>
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<div class="line"><span class="lineno"> 64</span> uint64_t <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a> = 0; <span class="comment">// this is the maximum length of the palindrome</span></div>
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<div class="line"><span class="lineno"> 64</span> uint64_t right = 0; <span class="comment">// this is the maximum length of the palindrome</span></div>
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<div class="line"><span class="lineno"> 65</span> <span class="comment">// from 'bigger_center' to the rightmost end</span></div>
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<div class="line"><span class="lineno"> 66</span> </div>
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<div class="line"><span class="lineno"> 67</span> <span class="comment">// i is considered as center lying within one half of the palindrone</span></div>
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<div class="line"><span class="lineno"> 68</span> <span class="comment">// which is centered at 'bigger_center'</span></div>
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<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">for</span> (uint64_t i = 1; i < stuffed_string.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() - 1; i++) {</div>
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<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">for</span> (uint64_t i = 1; i < stuffed_string.size() - 1; i++) {</div>
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<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">if</span> (i < right) { <span class="comment">// when i is before right end, considering</span></div>
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<div class="line"><span class="lineno"> 71</span> <span class="comment">// 'bigger_center' as center of palindrome</span></div>
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<div class="line"><span class="lineno"> 72</span> uint64_t opposite_to_i =</div>
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<div class="line"><span class="lineno"> 78</span> <span class="comment">// the palindrome on having center at opposite end,</span></div>
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<div class="line"><span class="lineno"> 79</span> <span class="comment">// and the string between i and right end,</span></div>
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<div class="line"><span class="lineno"> 80</span> <span class="comment">// considering 'bigger_center' as center of palindrome</span></div>
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<div class="line"><span class="lineno"> 81</span> palindrome_max_half_length[i] = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(</div>
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<div class="line"><span class="lineno"> 81</span> palindrome_max_half_length[i] = std::min(</div>
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<div class="line"><span class="lineno"> 82</span> palindrome_max_half_length[opposite_to_i], right - i);</div>
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<div class="line"><span class="lineno"> 83</span> }</div>
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<div class="line"><span class="lineno"> 84</span> </div>
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<div class="line"><span class="lineno"> 95</span> <span class="comment">// to center i</span></div>
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<div class="line"><span class="lineno"> 96</span> <span class="keywordflow">if</span> (i + palindrome_max_half_length[i] > right) {</div>
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<div class="line"><span class="lineno"> 97</span> bigger_center = i;</div>
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<div class="line"><span class="lineno"> 98</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/left.html">right</a> = i + palindrome_max_half_length[i];</div>
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<div class="line"><span class="lineno"> 98</span> right = i + palindrome_max_half_length[i];</div>
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<div class="line"><span class="lineno"> 99</span> }</div>
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<div class="line"><span class="lineno"> 100</span> }</div>
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<div class="line"><span class="lineno"> 101</span> </div>
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<div class="line"><span class="lineno"> 103</span> uint64_t half_length = 0; <span class="comment">// half length of the largest palindrome</span></div>
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<div class="line"><span class="lineno"> 104</span> uint64_t center_index = 0; <span class="comment">// index of center of the largest palindrome</span></div>
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<div class="line"><span class="lineno"> 105</span> </div>
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<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">for</span> (uint64_t i = 1; i < stuffed_string.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() - 1; i++) {</div>
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<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">for</span> (uint64_t i = 1; i < stuffed_string.size() - 1; i++) {</div>
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<div class="line"><span class="lineno"> 107</span> <span class="keywordflow">if</span> (palindrome_max_half_length[i] > half_length) {</div>
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<div class="line"><span class="lineno"> 108</span> half_length = palindrome_max_half_length[i];</div>
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<div class="line"><span class="lineno"> 109</span> center_index = i;</div>
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<div class="line"><span class="lineno"> 110</span> }</div>
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<div class="line"><span class="lineno"> 111</span> }</div>
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<div class="line"><span class="lineno"> 112</span> </div>
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<div class="line"><span class="lineno"> 113</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> palindromic_substring =</div>
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<div class="line"><span class="lineno"> 113</span> std::string palindromic_substring =</div>
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<div class="line"><span class="lineno"> 114</span> <span class="stringliteral">""</span>; <span class="comment">// contains the resulting largest palindrome</span></div>
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<div class="line"><span class="lineno"> 115</span> </div>
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<div class="line"><span class="lineno"> 116</span> <span class="keywordflow">if</span> (half_length > 0) {</div>
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<div class="line"><span class="lineno"> 121</span> uint64_t start =</div>
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<div class="line"><span class="lineno"> 122</span> center_index - half_length +</div>
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<div class="line"><span class="lineno"> 123</span> 1; <span class="comment">// index of first character of palindromic substring</span></div>
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<div class="line"><span class="lineno"> 124</span> uint64_t <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a> =</div>
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<div class="line"><span class="lineno"> 124</span> uint64_t end =</div>
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<div class="line"><span class="lineno"> 125</span> center_index + half_length -</div>
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<div class="line"><span class="lineno"> 126</span> 1; <span class="comment">// index of last character of palindromic substring</span></div>
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<div class="line"><span class="lineno"> 127</span> <span class="keywordflow">for</span> (uint64_t index = start; index <= <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">end</a>; index += 2) {</div>
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<div class="line"><span class="lineno"> 127</span> <span class="keywordflow">for</span> (uint64_t index = start; index <= end; index += 2) {</div>
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<div class="line"><span class="lineno"> 128</span> palindromic_substring += stuffed_string[index];</div>
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<div class="line"><span class="lineno"> 129</span> }</div>
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<div class="line"><span class="lineno"> 130</span> } <span class="keywordflow">else</span> {</div>
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<div class="line"><span class="lineno"> 140</span> <span class="keywordflow">return</span> <span class="stringliteral">""</span>;</div>
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<div class="line"><span class="lineno"> 141</span> }</div>
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<div class="line"><span class="lineno"> 142</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="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a></div><div class="ttdeci">T end(T... args)</div></div>
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<div class="ttc" id="aleft_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/left.html">std::right</a></div><div class="ttdeci">T right(T... args)</div></div>
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<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</div></div>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">std::string::size</a></div><div class="ttdeci">T size(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 class="center"><iframe scrolling="no" frameborder="0" src="../../d3/d39/manacher__algorithm_8cpp_a95e6a2976bb2f332898f373941d52098_cgraph.svg" width="304" height="86"><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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<a id="aa8dca7b867074164d5f45b0f3851269d" name="aa8dca7b867074164d5f45b0f3851269d"></a>
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<p>Self-test implementations. </p>
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<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<p class="definition">Definition at line <a class="el" href="../../d3/d39/manacher__algorithm_8cpp_source.html#l00151">151</a> of file <a class="el" href="../../d3/d39/manacher__algorithm_8cpp_source.html">manacher_algorithm.cpp</a>.</p>
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<div class="fragment"><div class="line"><span class="lineno"> 151</span> {</div>
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<div class="line"><span class="lineno"> 152</span> assert(strings::manacher::manacher(<span class="stringliteral">""</span>) == <span class="stringliteral">""</span>);</div>
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<div class="line"><span class="lineno"> 153</span> assert(strings::manacher::manacher(<span class="stringliteral">"abababc"</span>) == <span class="stringliteral">"ababa"</span>);</div>
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@@ -357,16 +368,9 @@ Here is the call graph for this function:</div>
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<div class="line"><span class="lineno"> 162</span> assert(strings::manacher::manacher(<span class="stringliteral">"xy"</span>) == <span class="stringliteral">"x"</span>);</div>
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<div class="line"><span class="lineno"> 163</span> assert(strings::manacher::manacher(<span class="stringliteral">"abced"</span>) == <span class="stringliteral">"a"</span>);</div>
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<div class="line"><span class="lineno"> 164</span> </div>
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<div class="line"><span class="lineno"> 165</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"All tests have passed!"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><span class="lineno"> 165</span> std::cout << <span class="stringliteral">"All tests have passed!"</span> << std::endl;</div>
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<div class="line"><span class="lineno"> 166</span>}</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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<div class="center"><iframe scrolling="no" frameborder="0" src="../../d3/d39/manacher__algorithm_8cpp_aa8dca7b867074164d5f45b0f3851269d_cgraph.svg" width="174" height="36"><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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</div><!-- fragment -->
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</div>
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</div>
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</div><!-- contents -->
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Reference in New Issue
Block a user