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<p>Implementation of <a href="https://www.hackerrank.com/challenges/abbr/problem" target="_blank">Abbrievation</a>
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;string&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for abbreviation.cpp:</div>
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Namespaces</h2></td></tr>
<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>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:d0/df8/namespaceabbreviation"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d0/df8/namespaceabbreviation.html">abbreviation</a></td></tr>
<tr class="memdesc:d0/df8/namespaceabbreviation"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for <a href="https://www.hackerrank.com/challenges/abbr/problem" target="_blank">Abbreviation</a> implementation. <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
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Functions</h2></td></tr>
<tr class="memitem:add60b8858720bf217df22d992d0fefaa"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d73/abbreviation_8cpp.html#add60b8858720bf217df22d992d0fefaa">dynamic_programming::abbreviation::abbreviation_recursion</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; &gt; *memo, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; &gt; *visited, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;str, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;result, uint32_t str_idx=0, uint32_t result_idx=0)</td></tr>
<tr class="memdesc:add60b8858720bf217df22d992d0fefaa"><td class="mdescLeft">&#160;</td><td class="mdescRight">Recursive Dynamic Programming function. <a href="../../d7/d73/abbreviation_8cpp.html#add60b8858720bf217df22d992d0fefaa">More...</a><br /></td></tr>
<tr class="separator:add60b8858720bf217df22d992d0fefaa"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:af53b2f647bee9c5b75ef8dd9ef685dc8"><td class="memItemLeft" align="right" valign="top">bool&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d73/abbreviation_8cpp.html#af53b2f647bee9c5b75ef8dd9ef685dc8">dynamic_programming::abbreviation::abbreviation</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;str, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> &amp;result)</td></tr>
<tr class="memdesc:af53b2f647bee9c5b75ef8dd9ef685dc8"><td class="mdescLeft">&#160;</td><td class="mdescRight">Iterative Dynamic Programming function. <a href="../../d7/d73/abbreviation_8cpp.html#af53b2f647bee9c5b75ef8dd9ef685dc8">More...</a><br /></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="../../d7/d73/abbreviation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Self test-implementations. <a href="../../d7/d73/abbreviation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">More...</a><br /></td></tr>
<tr class="separator:aa8dca7b867074164d5f45b0f3851269d"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../d7/d73/abbreviation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
<tr class="memdesc:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="mdescLeft">&#160;</td><td class="mdescRight">Main function. <a href="../../d7/d73/abbreviation_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">More...</a><br /></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><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 >Implementation of <a href="https://www.hackerrank.com/challenges/abbr/problem" target="_blank">Abbrievation</a> </p>
<p >Given two strings, <code>a</code> and <code>b</code>, determine if it's possible to make <code>a</code> equal to <code>b</code> You can perform the following operations on the string <code>a</code>:</p><ol type="1">
<li>Capitalize zero or more of <code>a</code>'s lowercase letters.</li>
<li>Delete all of the remaining lowercase letters in <code>a</code>.</li>
</ol>
<h3><a class="anchor" id="autotoc_md60"></a>
Algorithm</h3>
<p >The idea is in the problem statement itself: iterate through characters of string <code>a</code> and <code>b</code> (for character indexes <code>i</code> and <code>j</code> respectively):</p><ol type="1">
<li>If <code>a[i]</code> and <code>b[j]</code> are equal, then move to next position</li>
<li>If <code>a[i]</code> is lowercase of <code>b[j]</code>, then explore two possibilities: a. Capitalize <code>a[i]</code> or b. Skip <code>a[i]</code></li>
<li>If the <code>a[i]</code> is not uppercase, just discard that character, else return <code>false</code></li>
</ol>
<p >Time Complexity: (O(|a|*|b|)) where <code>|a|</code> =&gt; length of string <code>a</code> </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/AshishYUO" target="_blank">Ashish Daulatabad</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="af53b2f647bee9c5b75ef8dd9ef685dc8" name="af53b2f647bee9c5b75ef8dd9ef685dc8"></a>
<h2 class="memtitle"><span class="permalink"><a href="#af53b2f647bee9c5b75ef8dd9ef685dc8">&#9670;&nbsp;</a></span>abbreviation()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool dynamic_programming::abbreviation::abbreviation </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>
</tr>
<tr>
<td class="paramkey"></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>result</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Iterative Dynamic Programming function. </p>
<p >Returns whether <code>s</code> can be converted to <code>t</code> with following rules: a. Capitalize zero or more of s's lowercase letters from string <code>s</code> b. remove all other lowercase letters from string <code>s</code> Note: The transition states for iterative is similar to recursive as well </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">str</td><td>given string, which might not be abbreivated </td></tr>
<tr><td class="paramname">result</td><td>resultant abbreivated string </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>false</code> if string <code>str</code> cannot be converted to <code>result</code> </dd>
<dd>
<code>true</code> if string <code>str</code> can be converted to <code>result</code> </dd></dl>
<div class="fragment"><div class="line"><a id="l00118" name="l00118"></a><span class="lineno"> 118</span> {</div>
<div class="line"><a id="l00119" name="l00119"></a><span class="lineno"> 119</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; memo(</div>
<div class="line"><a id="l00120" name="l00120"></a><span class="lineno"> 120</span> str.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() + 1, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(<a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.size() + 1, <span class="keyword">false</span>));</div>
<div class="line"><a id="l00121" name="l00121"></a><span class="lineno"> 121</span> </div>
<div class="line"><a id="l00122" name="l00122"></a><span class="lineno"> 122</span> <span class="keywordflow">for</span> (uint32_t i = 0; i &lt;= str.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>(); ++i) {</div>
<div class="line"><a id="l00123" name="l00123"></a><span class="lineno"> 123</span> memo[i][0] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00124" name="l00124"></a><span class="lineno"> 124</span> }</div>
<div class="line"><a id="l00125" name="l00125"></a><span class="lineno"> 125</span> <span class="keywordflow">for</span> (uint32_t i = 1; i &lt;= <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.size(); ++i) {</div>
<div class="line"><a id="l00126" name="l00126"></a><span class="lineno"> 126</span> memo[0][i] = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00127" name="l00127"></a><span class="lineno"> 127</span> }</div>
<div class="line"><a id="l00128" name="l00128"></a><span class="lineno"> 128</span> <span class="keywordflow">for</span> (uint32_t i = 1; i &lt;= str.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>(); ++i) {</div>
<div class="line"><a id="l00129" name="l00129"></a><span class="lineno"> 129</span> <span class="keywordflow">for</span> (uint32_t j = 1; j &lt;= <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.size(); ++j) {</div>
<div class="line"><a id="l00130" name="l00130"></a><span class="lineno"> 130</span> <span class="keywordflow">if</span> (str[i - 1] == result[j - 1]) {</div>
<div class="line"><a id="l00131" name="l00131"></a><span class="lineno"> 131</span> memo[i][j] = memo[i - 1][j - 1];</div>
<div class="line"><a id="l00132" name="l00132"></a><span class="lineno"> 132</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (str[i - 1] - 32 == result[j - 1]) {</div>
<div class="line"><a id="l00133" name="l00133"></a><span class="lineno"> 133</span> memo[i][j] = (memo[i - 1][j - 1] || memo[i - 1][j]);</div>
<div class="line"><a id="l00134" name="l00134"></a><span class="lineno"> 134</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00135" name="l00135"></a><span class="lineno"> 135</span> <span class="keywordflow">if</span> (str[i - 1] &gt;= <span class="charliteral">&#39;A&#39;</span> &amp;&amp; str[i - 1] &lt;= <span class="charliteral">&#39;Z&#39;</span>) {</div>
<div class="line"><a id="l00136" name="l00136"></a><span class="lineno"> 136</span> memo[i][j] = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00137" name="l00137"></a><span class="lineno"> 137</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00138" name="l00138"></a><span class="lineno"> 138</span> memo[i][j] = memo[i - 1][j];</div>
<div class="line"><a id="l00139" name="l00139"></a><span class="lineno"> 139</span> }</div>
<div class="line"><a id="l00140" name="l00140"></a><span class="lineno"> 140</span> }</div>
<div class="line"><a id="l00141" name="l00141"></a><span class="lineno"> 141</span> }</div>
<div class="line"><a id="l00142" name="l00142"></a><span class="lineno"> 142</span> }</div>
<div class="line"><a id="l00143" name="l00143"></a><span class="lineno"> 143</span> <span class="keywordflow">return</span> memo.back().back();</div>
<div class="line"><a id="l00144" name="l00144"></a><span class="lineno"> 144</span>}</div>
<div class="ttc" id="afibonacci__sum_8cpp_html_aadb40ac4c74a7efc0680b83eeee138aa"><div class="ttname"><a href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">math::fibonacci_sum::result</a></div><div class="ttdeci">uint64_t result(uint64_t n)</div><div class="ttdef"><b>Definition:</b> fibonacci_sum.cpp:76</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="#add60b8858720bf217df22d992d0fefaa">&#9670;&nbsp;</a></span>abbreviation_recursion()</h2>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">bool dynamic_programming::abbreviation::abbreviation_recursion </td>
<td>(</td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; &gt; *&#160;</td>
<td class="paramname"><em>memo</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; bool &gt; &gt; *&#160;</td>
<td class="paramname"><em>visited</em>, </td>
</tr>
<tr>
<td class="paramkey"></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>
</tr>
<tr>
<td class="paramkey"></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>result</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>str_idx</em> = <code>0</code>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">uint32_t&#160;</td>
<td class="paramname"><em>result_idx</em> = <code>0</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
<p>Recursive Dynamic Programming function. </p>
<p >Returns whether <code>s</code> can be converted to <code>t</code> with following rules: a. Capitalize zero or more of a's lowercase letters from string <code>s</code> b. remove all other lowercase letters from string <code>s</code> </p><dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">memo</td><td>To store the result </td></tr>
<tr><td class="paramname">visited</td><td>boolean to check if the result is already computed </td></tr>
<tr><td class="paramname">str</td><td>given string, which might not be abbreivated </td></tr>
<tr><td class="paramname">result</td><td>resultant abbreivated string </td></tr>
<tr><td class="paramname">str_idx</td><td>index for string <code>str</code>, helpful for transitions </td></tr>
<tr><td class="paramname">result_idx</td><td>index for string <code>result</code>, helpful for transitions </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd><code>false</code> if string <code>str</code> cannot be converted to <code>result</code> </dd>
<dd>
<code>true</code> if string <code>str</code> can be converted to <code>result</code> </dd></dl>
<p ><code>(str[i] == result[j])</code>: if str char at position i is equal to <code>result</code> char at position j, then s character is a capitalized one, move on to next character <code>str[i] - 32 == result[j]</code>: if <code>str[i]</code> character is lowercase of <code>result[j]</code> then explore two possibilites:</p><ol type="1">
<li>convert it to capitalized letter and move both to next pointer <code>(i + 1, j + 1)</code></li>
<li>Discard the character <code>(str[i])</code> and move to next char <code>(i + 1, j)</code></li>
</ol>
<div class="fragment"><div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> {</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> <span class="keywordtype">bool</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = memo-&gt;<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/at.html">at</a>(str_idx).at(result_idx);</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> <span class="keywordflow">if</span> (str_idx == str.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() &amp;&amp; result_idx == <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.size()) {</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> <span class="keywordflow">return</span> <span class="keyword">true</span>;</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (str_idx == str.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() &amp;&amp; result_idx != <a class="code hl_function" href="../../de/dc3/fibonacci__sum_8cpp.html#aadb40ac4c74a7efc0680b83eeee138aa">result</a>.size()) {</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="comment">// result `t` is not converted, return false</span></div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span> <span class="keywordflow">return</span> <span class="keyword">false</span>;</div>
<div class="line"><a id="l00068" name="l00068"></a><span class="lineno"> 68</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (!visited-&gt;at(str_idx).at(result_idx)) {<span class="comment"></span></div>
<div class="line"><a id="l00069" name="l00069"></a><span class="lineno"> 69</span><span class="comment"> /**</span></div>
<div class="line"><a id="l00070" name="l00070"></a><span class="lineno"> 70</span><span class="comment"> * `(str[i] == result[j])`: if str char at position i is equal to</span></div>
<div class="line"><a id="l00071" name="l00071"></a><span class="lineno"> 71</span><span class="comment"> * `result` char at position j, then s character is a capitalized one,</span></div>
<div class="line"><a id="l00072" name="l00072"></a><span class="lineno"> 72</span><span class="comment"> * move on to next character `str[i] - 32 == result[j]`:</span></div>
<div class="line"><a id="l00073" name="l00073"></a><span class="lineno"> 73</span><span class="comment"> * if `str[i]` character is lowercase of `result[j]` then explore two</span></div>
<div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span><span class="comment"> * possibilites:</span></div>
<div class="line"><a id="l00075" name="l00075"></a><span class="lineno"> 75</span><span class="comment"> * 1. convert it to capitalized letter and move both to next pointer</span></div>
<div class="line"><a id="l00076" name="l00076"></a><span class="lineno"> 76</span><span class="comment"> * `(i + 1, j + 1)`</span></div>
<div class="line"><a id="l00077" name="l00077"></a><span class="lineno"> 77</span><span class="comment"> * 2. Discard the character `(str[i])` and move to next char `(i + 1,</span></div>
<div class="line"><a id="l00078" name="l00078"></a><span class="lineno"> 78</span><span class="comment"> * j)`</span></div>
<div class="line"><a id="l00079" name="l00079"></a><span class="lineno"> 79</span><span class="comment"> */</span></div>
<div class="line"><a id="l00080" name="l00080"></a><span class="lineno"> 80</span> <span class="keywordflow">if</span> (str[str_idx] == result[result_idx]) {</div>
<div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <a class="code hl_function" href="../../d7/d73/abbreviation_8cpp.html#add60b8858720bf217df22d992d0fefaa">abbreviation_recursion</a>(memo, visited, str, result,</div>
<div class="line"><a id="l00082" name="l00082"></a><span class="lineno"> 82</span> str_idx + 1, result_idx + 1);</div>
<div class="line"><a id="l00083" name="l00083"></a><span class="lineno"> 83</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (str[str_idx] - 32 == result[result_idx]) {</div>
<div class="line"><a id="l00084" name="l00084"></a><span class="lineno"> 84</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <a class="code hl_function" href="../../d7/d73/abbreviation_8cpp.html#add60b8858720bf217df22d992d0fefaa">abbreviation_recursion</a>(memo, visited, str, result,</div>
<div class="line"><a id="l00085" name="l00085"></a><span class="lineno"> 85</span> str_idx + 1, result_idx + 1) ||</div>
<div class="line"><a id="l00086" name="l00086"></a><span class="lineno"> 86</span> <a class="code hl_function" href="../../d7/d73/abbreviation_8cpp.html#add60b8858720bf217df22d992d0fefaa">abbreviation_recursion</a>(memo, visited, str, result,</div>
<div class="line"><a id="l00087" name="l00087"></a><span class="lineno"> 87</span> str_idx + 1, result_idx);</div>
<div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00089" name="l00089"></a><span class="lineno"> 89</span> <span class="comment">// if `str[i]` is uppercase, then cannot be converted, return</span></div>
<div class="line"><a id="l00090" name="l00090"></a><span class="lineno"> 90</span> <span class="comment">// `false`</span></div>
<div class="line"><a id="l00091" name="l00091"></a><span class="lineno"> 91</span> <span class="comment">// else `str[i]` is lowercase, only option is to discard this</span></div>
<div class="line"><a id="l00092" name="l00092"></a><span class="lineno"> 92</span> <span class="comment">// character</span></div>
<div class="line"><a id="l00093" name="l00093"></a><span class="lineno"> 93</span> <span class="keywordflow">if</span> (str[str_idx] &gt;= <span class="charliteral">&#39;A&#39;</span> &amp;&amp; str[str_idx] &lt;= <span class="charliteral">&#39;Z&#39;</span>) {</div>
<div class="line"><a id="l00094" name="l00094"></a><span class="lineno"> 94</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <span class="keyword">false</span>;</div>
<div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span> } <span class="keywordflow">else</span> {</div>
<div class="line"><a id="l00096" name="l00096"></a><span class="lineno"> 96</span> <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a> = <a class="code hl_function" href="../../d7/d73/abbreviation_8cpp.html#add60b8858720bf217df22d992d0fefaa">abbreviation_recursion</a>(memo, visited, str, result,</div>
<div class="line"><a id="l00097" name="l00097"></a><span class="lineno"> 97</span> str_idx + 1, result_idx);</div>
<div class="line"><a id="l00098" name="l00098"></a><span class="lineno"> 98</span> }</div>
<div class="line"><a id="l00099" name="l00099"></a><span class="lineno"> 99</span> }</div>
<div class="line"><a id="l00100" name="l00100"></a><span class="lineno"> 100</span> }</div>
<div class="line"><a id="l00101" name="l00101"></a><span class="lineno"> 101</span> (*memo)[str_idx][result_idx] = <a class="code hl_function" href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a>;</div>
<div class="line"><a id="l00102" name="l00102"></a><span class="lineno"> 102</span> (*visited)[str_idx][result_idx] = <span class="keyword">true</span>;</div>
<div class="line"><a id="l00103" name="l00103"></a><span class="lineno"> 103</span> <span class="keywordflow">return</span> (*memo)[str_idx][result_idx];</div>
<div class="line"><a id="l00104" name="l00104"></a><span class="lineno"> 104</span>}</div>
<div class="ttc" id="aabbreviation_8cpp_html_add60b8858720bf217df22d992d0fefaa"><div class="ttname"><a href="../../d7/d73/abbreviation_8cpp.html#add60b8858720bf217df22d992d0fefaa">dynamic_programming::abbreviation::abbreviation_recursion</a></div><div class="ttdeci">bool abbreviation_recursion(std::vector&lt; std::vector&lt; bool &gt; &gt; *memo, std::vector&lt; std::vector&lt; bool &gt; &gt; *visited, const std::string &amp;str, const std::string &amp;result, uint32_t str_idx=0, uint32_t result_idx=0)</div><div class="ttdoc">Recursive Dynamic Programming function.</div><div class="ttdef"><b>Definition:</b> abbreviation.cpp:58</div></div>
<div class="ttc" id="aat_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/at.html">std::vector::at</a></div><div class="ttdeci">T at(T... args)</div></div>
<div class="ttc" id="amatrix__exponentiation_8cpp_html_ad8389ed58fd0ec66df248014775ad1fa"><div class="ttname"><a href="../../d7/d35/matrix__exponentiation_8cpp.html#ad8389ed58fd0ec66df248014775ad1fa">ans</a></div><div class="ttdeci">ll ans(ll n)</div><div class="ttdef"><b>Definition:</b> matrix_exponentiation.cpp:91</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">&#9670;&nbsp;</a></span>main()</h2>
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<tr>
<td class="memname">int main </td>
<td>(</td>
<td class="paramtype">void&#160;</td>
<td class="paramname"></td><td>)</td>
<td></td>
</tr>
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</div><div class="memdoc">
<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a id="l00191" name="l00191"></a><span class="lineno"> 191</span> {</div>
<div class="line"><a id="l00192" name="l00192"></a><span class="lineno"> 192</span> <a class="code hl_function" href="../../d7/d73/abbreviation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><a id="l00193" name="l00193"></a><span class="lineno"> 193</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00194" name="l00194"></a><span class="lineno"> 194</span>}</div>
<div class="ttc" id="aabbreviation_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d7/d73/abbreviation_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self test-implementations.</div><div class="ttdef"><b>Definition:</b> abbreviation.cpp:152</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#aa8dca7b867074164d5f45b0f3851269d">&#9670;&nbsp;</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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</td>
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<span class="mlabels"><span class="mlabel">static</span></span> </td>
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</div><div class="memdoc">
<p>Self test-implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><a id="l00152" name="l00152"></a><span class="lineno"> 152</span> {</div>
<div class="line"><a id="l00153" name="l00153"></a><span class="lineno"> 153</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string.html">std::string</a> s = <span class="stringliteral">&quot;daBcd&quot;</span>, t = <span class="stringliteral">&quot;ABC&quot;</span>;</div>
<div class="line"><a id="l00154" name="l00154"></a><span class="lineno"> 154</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; memo(s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() + 1,</div>
<div class="line"><a id="l00155" name="l00155"></a><span class="lineno"> 155</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(t.size() + 1, <span class="keyword">false</span>)),</div>
<div class="line"><a id="l00156" name="l00156"></a><span class="lineno"> 156</span> visited(s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() + 1, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(t.size() + 1, <span class="keyword">false</span>));</div>
<div class="line"><a id="l00157" name="l00157"></a><span class="lineno"> 157</span> </div>
<div class="line"><a id="l00158" name="l00158"></a><span class="lineno"> 158</span> assert(dynamic_programming::abbreviation::abbreviation_recursion(</div>
<div class="line"><a id="l00159" name="l00159"></a><span class="lineno"> 159</span> &amp;memo, &amp;visited, s, t) == <span class="keyword">true</span>);</div>
<div class="line"><a id="l00160" name="l00160"></a><span class="lineno"> 160</span> assert(dynamic_programming::abbreviation::abbreviation(s, t) == <span class="keyword">true</span>);</div>
<div class="line"><a id="l00161" name="l00161"></a><span class="lineno"> 161</span> s = <span class="stringliteral">&quot;XXVVnDEFYgYeMXzWINQYHAQKKOZEYgSRCzLZAmUYGUGILjMDET&quot;</span>;</div>
<div class="line"><a id="l00162" name="l00162"></a><span class="lineno"> 162</span> t = <span class="stringliteral">&quot;XXVVDEFYYMXWINQYHAQKKOZEYSRCLZAUYGUGILMDETQVWU&quot;</span>;</div>
<div class="line"><a id="l00163" name="l00163"></a><span class="lineno"> 163</span> memo = <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;(</div>
<div class="line"><a id="l00164" name="l00164"></a><span class="lineno"> 164</span> s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() + 1, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(t.size() + 1, <span class="keyword">false</span>));</div>
<div class="line"><a id="l00165" name="l00165"></a><span class="lineno"> 165</span> </div>
<div class="line"><a id="l00166" name="l00166"></a><span class="lineno"> 166</span> visited = <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;(</div>
<div class="line"><a id="l00167" name="l00167"></a><span class="lineno"> 167</span> s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() + 1, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(t.size() + 1, <span class="keyword">false</span>));</div>
<div class="line"><a id="l00168" name="l00168"></a><span class="lineno"> 168</span> </div>
<div class="line"><a id="l00169" name="l00169"></a><span class="lineno"> 169</span> assert(dynamic_programming::abbreviation::abbreviation_recursion(</div>
<div class="line"><a id="l00170" name="l00170"></a><span class="lineno"> 170</span> &amp;memo, &amp;visited, s, t) == <span class="keyword">false</span>);</div>
<div class="line"><a id="l00171" name="l00171"></a><span class="lineno"> 171</span> assert(dynamic_programming::abbreviation::abbreviation(s, t) == <span class="keyword">false</span>);</div>
<div class="line"><a id="l00172" name="l00172"></a><span class="lineno"> 172</span> </div>
<div class="line"><a id="l00173" name="l00173"></a><span class="lineno"> 173</span> s = <span class="stringliteral">&quot;DRFNLZZVHLPZWIupjwdmqafmgkg&quot;</span>;</div>
<div class="line"><a id="l00174" name="l00174"></a><span class="lineno"> 174</span> t = <span class="stringliteral">&quot;DRFNLZZVHLPZWI&quot;</span>;</div>
<div class="line"><a id="l00175" name="l00175"></a><span class="lineno"> 175</span> </div>
<div class="line"><a id="l00176" name="l00176"></a><span class="lineno"> 176</span> memo = <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;(</div>
<div class="line"><a id="l00177" name="l00177"></a><span class="lineno"> 177</span> s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() + 1, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(t.size() + 1, <span class="keyword">false</span>));</div>
<div class="line"><a id="l00178" name="l00178"></a><span class="lineno"> 178</span> </div>
<div class="line"><a id="l00179" name="l00179"></a><span class="lineno"> 179</span> visited = <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;(</div>
<div class="line"><a id="l00180" name="l00180"></a><span class="lineno"> 180</span> s.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/basic_string/size.html">size</a>() + 1, <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;bool&gt;</a>(t.size() + 1, <span class="keyword">false</span>));</div>
<div class="line"><a id="l00181" name="l00181"></a><span class="lineno"> 181</span> </div>
<div class="line"><a id="l00182" name="l00182"></a><span class="lineno"> 182</span> assert(dynamic_programming::abbreviation::abbreviation_recursion(</div>
<div class="line"><a id="l00183" name="l00183"></a><span class="lineno"> 183</span> &amp;memo, &amp;visited, s, t) == <span class="keyword">true</span>);</div>
<div class="line"><a id="l00184" name="l00184"></a><span class="lineno"> 184</span> assert(dynamic_programming::abbreviation::abbreviation(s, t) == <span class="keyword">true</span>);</div>
<div class="line"><a id="l00185" name="l00185"></a><span class="lineno"> 185</span>}</div>
<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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