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<p>Implements <a href="https://leetcode.com/problems/palindrome-partitioning-ii/" target="_blank">Palindrome Partitioning</a> algorithm, giving you the minimum number of partitions you need to make.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;climits&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
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Include dependency graph for palindrome_partitioning.cpp:</div>
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<tr class="memitem:dd/d24/namespacedynamic__programming"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../dd/d24/namespacedynamic__programming.html">dynamic_programming</a></td></tr>
<tr class="memdesc:dd/d24/namespacedynamic__programming"><td class="mdescLeft">&#160;</td><td class="mdescRight">Dynamic Programming algorithms. <br /></td></tr>
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<tr class="memitem:d5/d89/namespacepalindrome__partitioning"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d89/namespacepalindrome__partitioning.html">palindrome_partitioning</a></td></tr>
<tr class="memdesc:d5/d89/namespacepalindrome__partitioning"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://leetcode.com/problems/palindrome-partitioning-ii/" target="_blank">Palindrome Partitioning</a> algorithm. <br /></td></tr>
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Functions</h2></td></tr>
<tr class="memitem:a52ee22882858d2b1cf04293f02ed839a"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d90/palindrome__partitioning_8cpp.html#a52ee22882858d2b1cf04293f02ed839a">dynamic_programming::palindrome_partitioning::pal_part</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;str)</td></tr>
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<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d90/palindrome__partitioning_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test Function. <br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/d90/palindrome__partitioning_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <br /></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>Implements <a href="https://leetcode.com/problems/palindrome-partitioning-ii/" target="_blank">Palindrome Partitioning</a> algorithm, giving you the minimum number of partitions you need to make. </p>
<p>palindrome partitioning uses dynamic programming and goes to all the possible partitions to find the minimum you are given a string and you need to give minimum number of partitions needed to divide it into a number of palindromes [Palindrome Partitioning] (<a href="https://www.geeksforgeeks.org/palindrome-partitioning-dp-17/">https://www.geeksforgeeks.org/palindrome-partitioning-dp-17/</a>) overall time complexity O(n^2) For example: example 1:- String : "nitik" Output : 2 =&gt; "n
| iti | k" For example: example 2:- String : "ababbbabbababa" Output : 3 =&gt; "aba | b | bbabb | ababa" </p><dl class="section author"><dt>Author</dt><dd>[Sujay Kaushik] (<a href="https://github.com/sujaykaushik008">https://github.com/sujaykaushik008</a>) </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&#160;</a></span>main()</h2>
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<td class="memname">int main </td>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 128</span> {</div>
<div class="line"><span class="lineno"> 129</span> <a class="code hl_function" href="../../d5/d90/palindrome__partitioning_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// execute the test</span></div>
<div class="line"><span class="lineno"> 130</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 131</span>}</div>
<div class="ttc" id="apalindrome__partitioning_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d5/d90/palindrome__partitioning_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test Function.</div><div class="ttdef"><b>Definition:</b> palindrome_partitioning.cpp:98</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a52ee22882858d2b1cf04293f02ed839a">&#9670;&#160;</a></span>pal_part()</h2>
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<td class="memname">int dynamic_programming::palindrome_partitioning::pal_part </td>
<td>(</td>
<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;&#160;</td>
<td class="paramname"><em>str</em></td><td>)</td>
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<p>Function implementing palindrome partitioning algorithm using lookup table method. </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">str</td><td>input string </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>minimum number of partitions </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 45</span> {</div>
<div class="line"><span class="lineno"> 46</span> <span class="keywordtype">int</span> n = str.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 47</span> </div>
<div class="line"><span class="lineno"> 48</span> <span class="comment">// creating lookup table for minimum number of cuts</span></div>
<div class="line"><span class="lineno"> 49</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::vector&lt;int&gt;</a> &gt; cuts(n, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a>(n, 0));</div>
<div class="line"><span class="lineno"> 50</span> </div>
<div class="line"><span class="lineno"> 51</span> <span class="comment">// creating lookup table for palindrome checking</span></div>
<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&lt;std::vector&lt;bool&gt;</a> &gt; is_palindrome(n,</div>
<div class="line"><span class="lineno"> 53</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(n, <span class="keyword">false</span>));</div>
<div class="line"><span class="lineno"> 54</span> </div>
<div class="line"><span class="lineno"> 55</span> <span class="comment">// initialization</span></div>
<div class="line"><span class="lineno"> 56</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; n; i++) {</div>
<div class="line"><span class="lineno"> 57</span> is_palindrome[i][i] = <span class="keyword">true</span>;</div>
<div class="line"><span class="lineno"> 58</span> cuts[i][i] = 0;</div>
<div class="line"><span class="lineno"> 59</span> }</div>
<div class="line"><span class="lineno"> 60</span> </div>
<div class="line"><span class="lineno"> 61</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> len = 2; len &lt;= n; len++) {</div>
<div class="line"><span class="lineno"> 62</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> start_index = 0; start_index &lt; n - len + 1; start_index++) {</div>
<div class="line"><span class="lineno"> 63</span> <span class="keywordtype">int</span> end_index = start_index + len - 1;</div>
<div class="line"><span class="lineno"> 64</span> </div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">if</span> (len == 2) {</div>
<div class="line"><span class="lineno"> 66</span> is_palindrome[start_index][end_index] =</div>
<div class="line"><span class="lineno"> 67</span> (str[start_index] == str[end_index]);</div>
<div class="line"><span class="lineno"> 68</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 69</span> is_palindrome[start_index][end_index] =</div>
<div class="line"><span class="lineno"> 70</span> (str[start_index] == str[end_index]) &amp;&amp;</div>
<div class="line"><span class="lineno"> 71</span> is_palindrome[start_index + 1][end_index - 1];</div>
<div class="line"><span class="lineno"> 72</span> }</div>
<div class="line"><span class="lineno"> 73</span> </div>
<div class="line"><span class="lineno"> 74</span> <span class="keywordflow">if</span> (is_palindrome[start_index][end_index]) {</div>
<div class="line"><span class="lineno"> 75</span> cuts[start_index][end_index] = 0;</div>
<div class="line"><span class="lineno"> 76</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><span class="lineno"> 77</span> cuts[start_index][end_index] = INT_MAX;</div>
<div class="line"><span class="lineno"> 78</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> partition = start_index; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/partition.html">partition</a> &lt;= end_index - 1;</div>
<div class="line"><span class="lineno"> 79</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/partition.html">partition</a>++) {</div>
<div class="line"><span class="lineno"> 80</span> cuts[start_index][end_index] =</div>
<div class="line"><span class="lineno"> 81</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(cuts[start_index][end_index],</div>
<div class="line"><span class="lineno"> 82</span> cuts[start_index][partition] +</div>
<div class="line"><span class="lineno"> 83</span> cuts[partition + 1][end_index] + 1);</div>
<div class="line"><span class="lineno"> 84</span> }</div>
<div class="line"><span class="lineno"> 85</span> }</div>
<div class="line"><span class="lineno"> 86</span> }</div>
<div class="line"><span class="lineno"> 87</span> }</div>
<div class="line"><span class="lineno"> 88</span> </div>
<div class="line"><span class="lineno"> 89</span> <span class="keywordflow">return</span> cuts[0][n - 1];</div>
<div class="line"><span class="lineno"> 90</span>}</div>
<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>
<div class="ttc" id="apartition_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/partition.html">std::partition</a></div><div class="ttdeci">T partition(T... args)</div></div>
<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>
<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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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&#160;</a></span>test()</h2>
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<td class="memname">static void test </td>
<td>(</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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<p>Test Function. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 98</span> {</div>
<div class="line"><span class="lineno"> 99</span> <span class="comment">// custom input vector</span></div>
<div class="line"><span class="lineno"> 100</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;std::string&gt;</a> custom_input{<span class="stringliteral">&quot;nitik&quot;</span>, <span class="stringliteral">&quot;ababbbabbababa&quot;</span>, <span class="stringliteral">&quot;abdc&quot;</span>};</div>
<div class="line"><span class="lineno"> 101</span> </div>
<div class="line"><span class="lineno"> 102</span> <span class="comment">// calculated output vector by pal_part Function</span></div>
<div class="line"><span class="lineno"> 103</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> calculated_output(3);</div>
<div class="line"><span class="lineno"> 104</span> </div>
<div class="line"><span class="lineno"> 105</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; 3; i++) {</div>
<div class="line"><span class="lineno"> 106</span> calculated_output[i] =</div>
<div class="line"><span class="lineno"> 107</span> <a class="code hl_function" href="../../d5/d90/palindrome__partitioning_8cpp.html#a52ee22882858d2b1cf04293f02ed839a">dynamic_programming::palindrome_partitioning::pal_part</a>(</div>
<div class="line"><span class="lineno"> 108</span> custom_input[i]);</div>
<div class="line"><span class="lineno"> 109</span> }</div>
<div class="line"><span class="lineno"> 110</span> </div>
<div class="line"><span class="lineno"> 111</span> <span class="comment">// expected output vector</span></div>
<div class="line"><span class="lineno"> 112</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int&gt;</a> expected_output{2, 3, 3};</div>
<div class="line"><span class="lineno"> 113</span> </div>
<div class="line"><span class="lineno"> 114</span> <span class="comment">// Testing implementation via assert function</span></div>
<div class="line"><span class="lineno"> 115</span> <span class="comment">// It will throw error if any of the expected test fails</span></div>
<div class="line"><span class="lineno"> 116</span> <span class="comment">// Else it will give nothing</span></div>
<div class="line"><span class="lineno"> 117</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i &lt; 3; i++) {</div>
<div class="line"><span class="lineno"> 118</span> assert(expected_output[i] == calculated_output[i]);</div>
<div class="line"><span class="lineno"> 119</span> }</div>
<div class="line"><span class="lineno"> 120</span> </div>
<div class="line"><span class="lineno"> 121</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <span class="stringliteral">&quot;All tests passed successfully!\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 122</span>}</div>
<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>
<div class="ttc" id="apalindrome__partitioning_8cpp_html_a52ee22882858d2b1cf04293f02ed839a"><div class="ttname"><a href="../../d5/d90/palindrome__partitioning_8cpp.html#a52ee22882858d2b1cf04293f02ed839a">dynamic_programming::palindrome_partitioning::pal_part</a></div><div class="ttdeci">int pal_part(const std::string &amp;str)</div><div class="ttdef"><b>Definition:</b> palindrome_partitioning.cpp:45</div></div>
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