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<div id="projectbrief">All the algorithms implemented in C++</div>
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<div class="fragment"><div class="line"><a id="l00001" name="l00001"></a><span class="lineno"> 1</span><span class="preprocessor">#include &lt;algorithm&gt;</span></div>
<div class="line"><a id="l00002" name="l00002"></a><span class="lineno"> 2</span><span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a id="l00003" name="l00003"></a><span class="lineno"> 3</span><span class="preprocessor">#include &lt;iostream&gt;</span></div>
<div class="line"><a id="l00004" name="l00004"></a><span class="lineno"> 4</span> </div>
<div class="line"><a id="l00005" name="l00005"></a><span class="lineno"> 5</span><span class="keyword">using namespace </span>std;</div>
<div class="line"><a id="l00006" name="l00006"></a><span class="lineno"> 6</span><span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 1e6 + 5;</div>
<div class="line"><a id="l00007" name="l00007"></a><span class="lineno"> 7</span><span class="keywordtype">int</span> a[<a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>], bucket[<a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>], cnt[<a class="code hl_variable" href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>];</div>
<div class="line"><a id="l00008" name="l00008"></a><span class="lineno"> 8</span><span class="keywordtype">int</span> bucket_size;</div>
<div class="foldopen" id="foldopen00009" data-start="{" data-end="};">
<div class="line"><a id="l00009" name="l00009"></a><span class="lineno"><a class="line" href="../../dd/d1b/structquery.html"> 9</a></span><span class="keyword">struct </span><a class="code hl_struct" href="../../dd/d1b/structquery.html">query</a> {</div>
<div class="line"><a id="l00010" name="l00010"></a><span class="lineno"> 10</span> <span class="keywordtype">int</span> l, r, i;</div>
<div class="line"><a id="l00011" name="l00011"></a><span class="lineno"> 11</span>} q[N];</div>
</div>
<div class="line"><a id="l00012" name="l00012"></a><span class="lineno"> 12</span><span class="keywordtype">int</span> ans = 0;</div>
<div class="line"><a id="l00013" name="l00013"></a><span class="lineno"> 13</span> </div>
<div class="line"><a id="l00014" name="l00014"></a><span class="lineno"> 14</span><span class="keywordtype">void</span> <a class="code hl_function" href="../../da/d41/uint128__t_8hpp.html#a3ff77262ffd6743df5b808d41382a6f3">add</a>(<span class="keywordtype">int</span> index) {</div>
<div class="line"><a id="l00015" name="l00015"></a><span class="lineno"> 15</span> cnt[a[index]]++;</div>
<div class="line"><a id="l00016" name="l00016"></a><span class="lineno"> 16</span> <span class="keywordflow">if</span> (cnt[a[index]] == 1)</div>
<div class="line"><a id="l00017" name="l00017"></a><span class="lineno"> 17</span> ans++;</div>
<div class="line"><a id="l00018" name="l00018"></a><span class="lineno"> 18</span>}</div>
<div class="line"><a id="l00019" name="l00019"></a><span class="lineno"> 19</span><span class="keywordtype">void</span> <a class="code hl_function" href="../../d0/d65/namespacedouble__hashing.html#a28083ecac6eb94b643281875c8665931">remove</a>(<span class="keywordtype">int</span> index) {</div>
<div class="line"><a id="l00020" name="l00020"></a><span class="lineno"> 20</span> cnt[a[index]]--;</div>
<div class="line"><a id="l00021" name="l00021"></a><span class="lineno"> 21</span> <span class="keywordflow">if</span> (cnt[a[index]] == 0)</div>
<div class="line"><a id="l00022" name="l00022"></a><span class="lineno"> 22</span> ans--;</div>
<div class="line"><a id="l00023" name="l00023"></a><span class="lineno"> 23</span>}</div>
<div class="line"><a id="l00024" name="l00024"></a><span class="lineno"> 24</span> </div>
<div class="line"><a id="l00025" name="l00025"></a><span class="lineno"> 25</span><span class="keywordtype">bool</span> mycmp(<a class="code hl_struct" href="../../dd/d1b/structquery.html">query</a> x, <a class="code hl_struct" href="../../dd/d1b/structquery.html">query</a> y) {</div>
<div class="line"><a id="l00026" name="l00026"></a><span class="lineno"> 26</span> <span class="keywordflow">if</span> (x.l / bucket_size != y.l / bucket_size)</div>
<div class="line"><a id="l00027" name="l00027"></a><span class="lineno"> 27</span> <span class="keywordflow">return</span> x.l / bucket_size &lt; y.l / bucket_size;</div>
<div class="line"><a id="l00028" name="l00028"></a><span class="lineno"> 28</span> <span class="keywordflow">return</span> x.r &lt; y.r;</div>
<div class="line"><a id="l00029" name="l00029"></a><span class="lineno"> 29</span>}</div>
<div class="line"><a id="l00030" name="l00030"></a><span class="lineno"> 30</span> </div>
<div class="line"><a id="l00031" name="l00031"></a><span class="lineno"> 31</span><span class="keywordtype">int</span> <a class="code hl_function" href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a>() {</div>
<div class="line"><a id="l00032" name="l00032"></a><span class="lineno"> 32</span> <span class="keywordtype">int</span> n, t, i, j, <a class="code hl_function" href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">k</a> = 0;</div>
<div class="line"><a id="l00033" name="l00033"></a><span class="lineno"> 33</span> scanf(<span class="stringliteral">&quot;%d&quot;</span>, &amp;n);</div>
<div class="line"><a id="l00034" name="l00034"></a><span class="lineno"> 34</span> <span class="keywordflow">for</span> (i = 0; i &lt; n; i++) scanf(<span class="stringliteral">&quot;%d&quot;</span>, &amp;a[i]);</div>
<div class="line"><a id="l00035" name="l00035"></a><span class="lineno"> 35</span> bucket_size = ceil(sqrt(n));</div>
<div class="line"><a id="l00036" name="l00036"></a><span class="lineno"> 36</span> scanf(<span class="stringliteral">&quot;%d&quot;</span>, &amp;t);</div>
<div class="line"><a id="l00037" name="l00037"></a><span class="lineno"> 37</span> <span class="keywordflow">for</span> (i = 0; i &lt; t; i++) {</div>
<div class="line"><a id="l00038" name="l00038"></a><span class="lineno"> 38</span> scanf(<span class="stringliteral">&quot;%d %d&quot;</span>, &amp;q[i].l, &amp;q[i].r);</div>
<div class="line"><a id="l00039" name="l00039"></a><span class="lineno"> 39</span> q[i].l--;</div>
<div class="line"><a id="l00040" name="l00040"></a><span class="lineno"> 40</span> q[i].r--;</div>
<div class="line"><a id="l00041" name="l00041"></a><span class="lineno"> 41</span> q[i].i = i;</div>
<div class="line"><a id="l00042" name="l00042"></a><span class="lineno"> 42</span> }</div>
<div class="line"><a id="l00043" name="l00043"></a><span class="lineno"> 43</span> sort(q, q + t, mycmp);</div>
<div class="line"><a id="l00044" name="l00044"></a><span class="lineno"> 44</span> <span class="keywordtype">int</span> left = 0, right = 0;</div>
<div class="line"><a id="l00045" name="l00045"></a><span class="lineno"> 45</span> <span class="keywordflow">for</span> (i = 0; i &lt; t; i++) {</div>
<div class="line"><a id="l00046" name="l00046"></a><span class="lineno"> 46</span> <span class="keywordtype">int</span> L = q[i].l, R = q[i].r;</div>
<div class="line"><a id="l00047" name="l00047"></a><span class="lineno"> 47</span> <span class="keywordflow">while</span> (left &lt; L) {</div>
<div class="line"><a id="l00048" name="l00048"></a><span class="lineno"> 48</span> <a class="code hl_function" href="../../d0/d65/namespacedouble__hashing.html#a28083ecac6eb94b643281875c8665931">remove</a>(left);</div>
<div class="line"><a id="l00049" name="l00049"></a><span class="lineno"> 49</span> left++;</div>
<div class="line"><a id="l00050" name="l00050"></a><span class="lineno"> 50</span> }</div>
<div class="line"><a id="l00051" name="l00051"></a><span class="lineno"> 51</span> <span class="keywordflow">while</span> (left &gt; L) {</div>
<div class="line"><a id="l00052" name="l00052"></a><span class="lineno"> 52</span> <a class="code hl_function" href="../../da/d41/uint128__t_8hpp.html#a3ff77262ffd6743df5b808d41382a6f3">add</a>(left - 1);</div>
<div class="line"><a id="l00053" name="l00053"></a><span class="lineno"> 53</span> left--;</div>
<div class="line"><a id="l00054" name="l00054"></a><span class="lineno"> 54</span> }</div>
<div class="line"><a id="l00055" name="l00055"></a><span class="lineno"> 55</span> <span class="keywordflow">while</span> (right &lt;= R) {</div>
<div class="line"><a id="l00056" name="l00056"></a><span class="lineno"> 56</span> <a class="code hl_function" href="../../da/d41/uint128__t_8hpp.html#a3ff77262ffd6743df5b808d41382a6f3">add</a>(right);</div>
<div class="line"><a id="l00057" name="l00057"></a><span class="lineno"> 57</span> right++;</div>
<div class="line"><a id="l00058" name="l00058"></a><span class="lineno"> 58</span> }</div>
<div class="line"><a id="l00059" name="l00059"></a><span class="lineno"> 59</span> <span class="keywordflow">while</span> (right &gt; R + 1) {</div>
<div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span> <a class="code hl_function" href="../../d0/d65/namespacedouble__hashing.html#a28083ecac6eb94b643281875c8665931">remove</a>(right - 1);</div>
<div class="line"><a id="l00061" name="l00061"></a><span class="lineno"> 61</span> right--;</div>
<div class="line"><a id="l00062" name="l00062"></a><span class="lineno"> 62</span> }</div>
<div class="line"><a id="l00063" name="l00063"></a><span class="lineno"> 63</span> bucket[q[i].i] = ans;</div>
<div class="line"><a id="l00064" name="l00064"></a><span class="lineno"> 64</span> }</div>
<div class="line"><a id="l00065" name="l00065"></a><span class="lineno"> 65</span> <span class="keywordflow">for</span> (i = 0; i &lt; t; i++) printf(<span class="stringliteral">&quot;%d\n&quot;</span>, bucket[i]);</div>
<div class="line"><a id="l00066" name="l00066"></a><span class="lineno"> 66</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>}</div>
<div class="ttc" id="acomposite__simpson__rule_8cpp_html_a1b74d828b33760094906797042b89442"><div class="ttname"><a href="../../d4/d18/composite__simpson__rule_8cpp.html#a1b74d828b33760094906797042b89442">numerical_methods::simpson_method::k</a></div><div class="ttdeci">double k(double x)</div><div class="ttdoc">Another test function.</div><div class="ttdef"><b>Definition</b> <a href="../../d4/d18/composite__simpson__rule_8cpp_source.html#l00117">composite_simpson_rule.cpp:117</a></div></div>
<div class="ttc" id="agenerate__parentheses_8cpp_html_gae66f6b31b5ad750f1fe042a706a4e3d4"><div class="ttname"><a href="../../dd/d1e/generate__parentheses_8cpp.html#gae66f6b31b5ad750f1fe042a706a4e3d4">main</a></div><div class="ttdeci">int main()</div><div class="ttdoc">Main function.</div><div class="ttdef"><b>Definition</b> <a href="../../dd/d1e/generate__parentheses_8cpp_source.html#l00110">generate_parentheses.cpp:110</a></div></div>
<div class="ttc" id="anamespacedouble__hashing_html_a28083ecac6eb94b643281875c8665931"><div class="ttname"><a href="../../d0/d65/namespacedouble__hashing.html#a28083ecac6eb94b643281875c8665931">double_hashing::remove</a></div><div class="ttdeci">void remove(int key)</div><div class="ttdef"><b>Definition</b> <a href="../../d6/d80/double__hash__hash__table_8cpp_source.html#l00199">double_hash_hash_table.cpp:199</a></div></div>
<div class="ttc" id="asparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d8/dab/sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition</b> <a href="../../d8/dab/sparse__table_8cpp_source.html#l00048">sparse_table.cpp:48</a></div></div>
<div class="ttc" id="astructquery_html"><div class="ttname"><a href="../../dd/d1b/structquery.html">query</a></div><div class="ttdef"><b>Definition</b> <a href="#l00009">mo.cpp:9</a></div></div>
<div class="ttc" id="auint128__t_8hpp_html_a3ff77262ffd6743df5b808d41382a6f3"><div class="ttname"><a href="../../da/d41/uint128__t_8hpp.html#a3ff77262ffd6743df5b808d41382a6f3">add</a></div><div class="ttdeci">std::string add(const std::string &amp;first, const std::string &amp;second)</div><div class="ttdoc">Adding two string.</div><div class="ttdef"><b>Definition</b> <a href="../../da/d41/uint128__t_8hpp_source.html#l00038">uint128_t.hpp:38</a></div></div>
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