Documentation for 0d766b0f8a

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realstealthninja
2024-11-04 12:32:06 +00:00
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280 changed files with 2978 additions and 4001 deletions

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@@ -194,7 +194,7 @@ Functions</h2></td></tr>
<div class="line"><span class="lineno"> 151</span> print(mdist, V);</div>
<div class="line"><span class="lineno"> 152</span>}</div>
<div class="ttc" id="anamespacegraph_html"><div class="ttname"><a href="../../df/dce/namespacegraph.html">graph</a></div><div class="ttdoc">Graph Algorithms.</div></div>
<div class="ttc" id="anamespacegreedy__algorithms_1_1dijkstra_html_af6cb29ca6dc5771439f6ea7262058a71"><div class="ttname"><a href="#af6cb29ca6dc5771439f6ea7262058a71">greedy_algorithms::dijkstra::minimum_distance</a></div><div class="ttdeci">int minimum_distance(std::vector&lt; int &gt; mdist, std::vector&lt; bool &gt; vset, int V)</div><div class="ttdoc">Utility function that finds the vertex with the minimum distance in mdist.</div><div class="ttdef"><b>Definition</b> dijkstra.cpp:82</div></div>
<div class="ttc" id="anamespacegreedy__algorithms_1_1dijkstra_html_af6cb29ca6dc5771439f6ea7262058a71"><div class="ttname"><a href="#af6cb29ca6dc5771439f6ea7262058a71">greedy_algorithms::dijkstra::minimum_distance</a></div><div class="ttdeci">int minimum_distance(std::vector&lt; int &gt; mdist, std::vector&lt; bool &gt; vset, int V)</div><div class="ttdoc">Utility function that finds the vertex with the minimum distance in mdist.</div><div class="ttdef"><b>Definition</b> dijkstra_greedy.cpp:82</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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@@ -114,12 +114,13 @@ $(function(){initNavTree('d2/d45/segtree_8cpp.html','../../'); initResizable(tru
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cmath&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for segtree.cpp:</div>
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</div>
</div><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="func-members" name="func-members"></a>
@@ -190,7 +191,7 @@ Functions</h2></td></tr>
</div><div class="memdoc">
<p>for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a> </p>
<p>for assert for log2 for IO operations</p>
<p>for assert for log2 for <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/types/integer.html">std::uint64_t</a> for IO operations</p>
<p>Constructs the initial segment tree</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
@@ -203,18 +204,18 @@ Functions</h2></td></tr>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 38</span> {</div>
<div class="line"><span class="lineno"> 39</span> <span class="keywordflow">if</span> (low == high) {</div>
<div class="line"><span class="lineno"> 40</span> (*segtree)[pos] = arr[low];</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 42</span> }</div>
<div class="line"><span class="lineno"> 43</span> </div>
<div class="line"><span class="lineno"> 44</span> uint64_t mid = (low + high) / 2;</div>
<div class="line"><span class="lineno"> 45</span> <a class="code hl_function" href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a>(arr, segtree, low, mid, 2 * pos + 1);</div>
<div class="line"><span class="lineno"> 46</span> <a class="code hl_function" href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a>(arr, segtree, mid + 1, high, 2 * pos + 2);</div>
<div class="line"><span class="lineno"> 47</span> (*segtree)[pos] = (*segtree)[2 * pos + 1] + (*segtree)[2 * pos + 2];</div>
<div class="line"><span class="lineno"> 48</span>}</div>
<div class="ttc" id="asegtree_8cpp_html_ae752659b7c1719d68fdb2ca538a93696"><div class="ttname"><a href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a></div><div class="ttdeci">void ConsTree(const std::vector&lt; int64_t &gt; &amp;arr, std::vector&lt; int64_t &gt; *segtree, uint64_t low, uint64_t high, uint64_t pos)</div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> segtree.cpp:37</div></div>
<div class="fragment"><div class="line"><span class="lineno"> 39</span> {</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">if</span> (low == high) {</div>
<div class="line"><span class="lineno"> 41</span> (*segtree)[pos] = arr[low];</div>
<div class="line"><span class="lineno"> 42</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 43</span> }</div>
<div class="line"><span class="lineno"> 44</span> </div>
<div class="line"><span class="lineno"> 45</span> uint64_t mid = (low + high) / 2;</div>
<div class="line"><span class="lineno"> 46</span> <a class="code hl_function" href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a>(arr, segtree, low, mid, 2 * pos + 1);</div>
<div class="line"><span class="lineno"> 47</span> <a class="code hl_function" href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a>(arr, segtree, mid + 1, high, 2 * pos + 2);</div>
<div class="line"><span class="lineno"> 48</span> (*segtree)[pos] = (*segtree)[2 * pos + 1] + (*segtree)[2 * pos + 2];</div>
<div class="line"><span class="lineno"> 49</span>}</div>
<div class="ttc" id="asegtree_8cpp_html_ae752659b7c1719d68fdb2ca538a93696"><div class="ttname"><a href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a></div><div class="ttdeci">void ConsTree(const std::vector&lt; int64_t &gt; &amp;arr, std::vector&lt; int64_t &gt; *segtree, uint64_t low, uint64_t high, uint64_t pos)</div><div class="ttdoc">for std::vector</div><div class="ttdef"><b>Definition</b> segtree.cpp:38</div></div>
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@@ -240,66 +241,66 @@ Here is the call graph for this function:</div>
<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"> 167</span> {</div>
<div class="line"><span class="lineno"> 168</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 169</span> </div>
<div class="line"><span class="lineno"> 170</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;Enter number of elements: &quot;</span>;</div>
<div class="line"><span class="lineno"> 171</span> </div>
<div class="line"><span class="lineno"> 172</span> uint64_t n = 0;</div>
<div class="line"><span class="lineno"> 173</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><span class="lineno"> 174</span> </div>
<div class="line"><span class="lineno"> 175</span> <span class="keyword">auto</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a> = <span class="keyword">static_cast&lt;</span>uint64_t<span class="keyword">&gt;</span>(2 * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(2, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/ceil.html">ceil</a>(log2(n))) - 1);</div>
<div class="line"><span class="lineno"> 176</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int64_t&gt;</a> arr(n), lazy(max), segtree(max);</div>
<div class="line"><span class="lineno"> 177</span> </div>
<div class="line"><span class="lineno"> 178</span> <span class="keywordtype">int</span> choice = 0;</div>
<div class="line"><span class="lineno"> 179</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;\nDo you wish to enter each number?:\n&quot;</span></div>
<div class="line"><span class="lineno"> 180</span> <span class="stringliteral">&quot;1: Yes\n&quot;</span></div>
<div class="line"><span class="lineno"> 181</span> <span class="stringliteral">&quot;0: No (default initialize them to 0)\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 182</span> </div>
<div class="line"><span class="lineno"> 183</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; choice;</div>
<div class="line"><span class="lineno"> 184</span> <span class="keywordflow">if</span> (choice == 1) {</div>
<div class="line"><span class="lineno"> 185</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;Enter &quot;</span> &lt;&lt; n &lt;&lt; <span class="stringliteral">&quot; numbers:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 186</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= n; i++) {</div>
<div class="line"><span class="lineno"> 187</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot;: &quot;</span>;</div>
<div class="line"><span class="lineno"> 188</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; arr[i];</div>
<div class="line"><span class="lineno"> 189</span> }</div>
<div class="line"><span class="lineno"> 190</span> }</div>
<div class="line"><span class="lineno"> 191</span> </div>
<div class="line"><span class="lineno"> 192</span> <a class="code hl_function" href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a>(arr, &amp;segtree, 0, n - 1, 0);</div>
<div class="line"><span class="lineno"> 193</span> </div>
<div class="line"><span class="lineno"> 194</span> <span class="keywordflow">do</span> {</div>
<div class="line"><span class="lineno"> 195</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;\nMake your choice:\n&quot;</span></div>
<div class="line"><span class="lineno"> 196</span> <span class="stringliteral">&quot;1: Range update (input)\n&quot;</span></div>
<div class="line"><span class="lineno"> 197</span> <span class="stringliteral">&quot;2: Range query (output)\n&quot;</span></div>
<div class="line"><span class="lineno"> 198</span> <span class="stringliteral">&quot;0: Exit\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 199</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; choice;</div>
<div class="line"><span class="lineno"> 200</span> </div>
<div class="line"><span class="lineno"> 201</span> <span class="keywordflow">if</span> (choice == 1) {</div>
<div class="line"><span class="lineno"> 202</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;Enter 1-indexed lower bound, upper bound &amp; value:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 203</span> </div>
<div class="line"><span class="lineno"> 204</span> uint64_t p = 1, q = 1, v = 0;</div>
<div class="line"><span class="lineno"> 205</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; p &gt;&gt; q &gt;&gt; v;</div>
<div class="line"><span class="lineno"> 206</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(&amp;segtree, &amp;lazy, p - 1, q - 1, v, 0, n - 1, 0);</div>
<div class="line"><span class="lineno"> 207</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (choice == 2) {</div>
<div class="line"><span class="lineno"> 208</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;Enter 1-indexed lower bound &amp; upper bound:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 209</span> </div>
<div class="line"><span class="lineno"> 210</span> uint64_t p = 1, q = 1;</div>
<div class="line"><span class="lineno"> 211</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; p &gt;&gt; q;</div>
<div class="line"><span class="lineno"> 212</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(&amp;segtree, &amp;lazy, p - 1, q - 1, 0, n - 1, 0);</div>
<div class="line"><span class="lineno"> 213</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;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 214</span> }</div>
<div class="line"><span class="lineno"> 215</span> } <span class="keywordflow">while</span> (choice &gt; 0);</div>
<div class="line"><span class="lineno"> 216</span> </div>
<div class="line"><span class="lineno"> 217</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 218</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 168</span> {</div>
<div class="line"><span class="lineno"> 169</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 170</span> </div>
<div class="line"><span class="lineno"> 171</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;Enter number of elements: &quot;</span>;</div>
<div class="line"><span class="lineno"> 172</span> </div>
<div class="line"><span class="lineno"> 173</span> uint64_t n = 0;</div>
<div class="line"><span class="lineno"> 174</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; n;</div>
<div class="line"><span class="lineno"> 175</span> </div>
<div class="line"><span class="lineno"> 176</span> <span class="keyword">auto</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a> = <span class="keyword">static_cast&lt;</span>uint64_t<span class="keyword">&gt;</span>(2 * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(2, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/ceil.html">ceil</a>(log2(n))) - 1);</div>
<div class="line"><span class="lineno"> 177</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int64_t&gt;</a> arr(n), lazy(max), segtree(max);</div>
<div class="line"><span class="lineno"> 178</span> </div>
<div class="line"><span class="lineno"> 179</span> <span class="keywordtype">int</span> choice = 0;</div>
<div class="line"><span class="lineno"> 180</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;\nDo you wish to enter each number?:\n&quot;</span></div>
<div class="line"><span class="lineno"> 181</span> <span class="stringliteral">&quot;1: Yes\n&quot;</span></div>
<div class="line"><span class="lineno"> 182</span> <span class="stringliteral">&quot;0: No (default initialize them to 0)\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 183</span> </div>
<div class="line"><span class="lineno"> 184</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; choice;</div>
<div class="line"><span class="lineno"> 185</span> <span class="keywordflow">if</span> (choice == 1) {</div>
<div class="line"><span class="lineno"> 186</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;Enter &quot;</span> &lt;&lt; n &lt;&lt; <span class="stringliteral">&quot; numbers:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 187</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 1; i &lt;= n; i++) {</div>
<div class="line"><span class="lineno"> 188</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; i &lt;&lt; <span class="stringliteral">&quot;: &quot;</span>;</div>
<div class="line"><span class="lineno"> 189</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; arr[i];</div>
<div class="line"><span class="lineno"> 190</span> }</div>
<div class="line"><span class="lineno"> 191</span> }</div>
<div class="line"><span class="lineno"> 192</span> </div>
<div class="line"><span class="lineno"> 193</span> <a class="code hl_function" href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a>(arr, &amp;segtree, 0, n - 1, 0);</div>
<div class="line"><span class="lineno"> 194</span> </div>
<div class="line"><span class="lineno"> 195</span> <span class="keywordflow">do</span> {</div>
<div class="line"><span class="lineno"> 196</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;\nMake your choice:\n&quot;</span></div>
<div class="line"><span class="lineno"> 197</span> <span class="stringliteral">&quot;1: Range update (input)\n&quot;</span></div>
<div class="line"><span class="lineno"> 198</span> <span class="stringliteral">&quot;2: Range query (output)\n&quot;</span></div>
<div class="line"><span class="lineno"> 199</span> <span class="stringliteral">&quot;0: Exit\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 200</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; choice;</div>
<div class="line"><span class="lineno"> 201</span> </div>
<div class="line"><span class="lineno"> 202</span> <span class="keywordflow">if</span> (choice == 1) {</div>
<div class="line"><span class="lineno"> 203</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;Enter 1-indexed lower bound, upper bound &amp; value:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 204</span> </div>
<div class="line"><span class="lineno"> 205</span> uint64_t p = 1, q = 1, v = 0;</div>
<div class="line"><span class="lineno"> 206</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; p &gt;&gt; q &gt;&gt; v;</div>
<div class="line"><span class="lineno"> 207</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(&amp;segtree, &amp;lazy, p - 1, q - 1, v, 0, n - 1, 0);</div>
<div class="line"><span class="lineno"> 208</span> } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (choice == 2) {</div>
<div class="line"><span class="lineno"> 209</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;Enter 1-indexed lower bound &amp; upper bound:\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 210</span> </div>
<div class="line"><span class="lineno"> 211</span> uint64_t p = 1, q = 1;</div>
<div class="line"><span class="lineno"> 212</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a> &gt;&gt; p &gt;&gt; q;</div>
<div class="line"><span class="lineno"> 213</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> &lt;&lt; <a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(&amp;segtree, &amp;lazy, p - 1, q - 1, 0, n - 1, 0);</div>
<div class="line"><span class="lineno"> 214</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;\n&quot;</span>;</div>
<div class="line"><span class="lineno"> 215</span> }</div>
<div class="line"><span class="lineno"> 216</span> } <span class="keywordflow">while</span> (choice &gt; 0);</div>
<div class="line"><span class="lineno"> 217</span> </div>
<div class="line"><span class="lineno"> 218</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 219</span>}</div>
<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></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="aceil_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/ceil.html">std::ceil</a></div><div class="ttdeci">T ceil(T... args)</div></div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
<div class="ttc" id="asegtree_8cpp_html_a423a97ea0c7ea6e33b5844a6858d902d"><div class="ttname"><a href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a></div><div class="ttdeci">int64_t query(std::vector&lt; int64_t &gt; *segtree, std::vector&lt; int64_t &gt; *lazy, uint64_t qlow, uint64_t qhigh, uint64_t low, uint64_t high, uint64_t pos)</div><div class="ttdoc">Returns the sum of all elements in a range.</div><div class="ttdef"><b>Definition</b> segtree.cpp:62</div></div>
<div class="ttc" id="asegtree_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementation.</div><div class="ttdef"><b>Definition</b> segtree.cpp:146</div></div>
<div class="ttc" id="asegtree_8cpp_html_abd3e818681fb2e29cf08f4f60f82c8e0"><div class="ttname"><a href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a></div><div class="ttdeci">void update(std::vector&lt; int64_t &gt; *segtree, std::vector&lt; int64_t &gt; *lazy, int64_t start, int64_t end, int64_t delta, uint64_t low, uint64_t high, uint64_t pos)</div><div class="ttdoc">Updates a range of the segment tree.</div><div class="ttdef"><b>Definition</b> segtree.cpp:102</div></div>
<div class="ttc" id="asegtree_8cpp_html_a423a97ea0c7ea6e33b5844a6858d902d"><div class="ttname"><a href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a></div><div class="ttdeci">int64_t query(std::vector&lt; int64_t &gt; *segtree, std::vector&lt; int64_t &gt; *lazy, uint64_t qlow, uint64_t qhigh, uint64_t low, uint64_t high, uint64_t pos)</div><div class="ttdoc">Returns the sum of all elements in a range.</div><div class="ttdef"><b>Definition</b> segtree.cpp:63</div></div>
<div class="ttc" id="asegtree_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Self-test implementation.</div><div class="ttdef"><b>Definition</b> segtree.cpp:147</div></div>
<div class="ttc" id="asegtree_8cpp_html_abd3e818681fb2e29cf08f4f60f82c8e0"><div class="ttname"><a href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a></div><div class="ttdeci">void update(std::vector&lt; int64_t &gt; *segtree, std::vector&lt; int64_t &gt; *lazy, int64_t start, int64_t end, int64_t delta, uint64_t low, uint64_t high, uint64_t pos)</div><div class="ttdoc">Updates a range of the segment tree.</div><div class="ttdef"><b>Definition</b> segtree.cpp:103</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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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>result of the range query for this function call </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 64</span> {</div>
<div class="line"><span class="lineno"> 65</span> <span class="keywordflow">if</span> (low &gt; high || qlow &gt; high || low &gt; qhigh) {</div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 67</span> }</div>
<div class="line"><span class="lineno"> 68</span> </div>
<div class="line"><span class="lineno"> 69</span> <span class="keywordflow">if</span> ((*lazy)[pos] != 0) {</div>
<div class="line"><span class="lineno"> 70</span> (*segtree)[pos] += (*lazy)[pos] * (high - low + 1);</div>
<div class="line"><span class="lineno"> 71</span> </div>
<div class="line"><span class="lineno"> 72</span> <span class="keywordflow">if</span> (low != high) {</div>
<div class="line"><span class="lineno"> 73</span> (*lazy)[2 * pos + 1] += (*lazy)[pos];</div>
<div class="line"><span class="lineno"> 74</span> (*lazy)[2 * pos + 2] += (*lazy)[pos];</div>
<div class="line"><span class="lineno"> 75</span> }</div>
<div class="line"><span class="lineno"> 76</span> (*lazy)[pos] = 0;</div>
<div class="line"><span class="lineno"> 77</span> }</div>
<div class="line"><span class="lineno"> 78</span> </div>
<div class="line"><span class="lineno"> 79</span> <span class="keywordflow">if</span> (qlow &lt;= low &amp;&amp; qhigh &gt;= high) {</div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">return</span> (*segtree)[pos];</div>
<div class="line"><span class="lineno"> 81</span> }</div>
<div class="line"><span class="lineno"> 82</span> </div>
<div class="line"><span class="lineno"> 83</span> uint64_t mid = (low + high) / 2;</div>
<div class="line"><span class="lineno"> 84</span> </div>
<div class="line"><span class="lineno"> 85</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(segtree, lazy, qlow, qhigh, low, mid, 2 * pos + 1) +</div>
<div class="line"><span class="lineno"> 86</span> <a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(segtree, lazy, qlow, qhigh, mid + 1, high, 2 * pos + 2);</div>
<div class="line"><span class="lineno"> 87</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 65</span> {</div>
<div class="line"><span class="lineno"> 66</span> <span class="keywordflow">if</span> (low &gt; high || qlow &gt; high || low &gt; qhigh) {</div>
<div class="line"><span class="lineno"> 67</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 68</span> }</div>
<div class="line"><span class="lineno"> 69</span> </div>
<div class="line"><span class="lineno"> 70</span> <span class="keywordflow">if</span> ((*lazy)[pos] != 0) {</div>
<div class="line"><span class="lineno"> 71</span> (*segtree)[pos] += (*lazy)[pos] * (high - low + 1);</div>
<div class="line"><span class="lineno"> 72</span> </div>
<div class="line"><span class="lineno"> 73</span> <span class="keywordflow">if</span> (low != high) {</div>
<div class="line"><span class="lineno"> 74</span> (*lazy)[2 * pos + 1] += (*lazy)[pos];</div>
<div class="line"><span class="lineno"> 75</span> (*lazy)[2 * pos + 2] += (*lazy)[pos];</div>
<div class="line"><span class="lineno"> 76</span> }</div>
<div class="line"><span class="lineno"> 77</span> (*lazy)[pos] = 0;</div>
<div class="line"><span class="lineno"> 78</span> }</div>
<div class="line"><span class="lineno"> 79</span> </div>
<div class="line"><span class="lineno"> 80</span> <span class="keywordflow">if</span> (qlow &lt;= low &amp;&amp; qhigh &gt;= high) {</div>
<div class="line"><span class="lineno"> 81</span> <span class="keywordflow">return</span> (*segtree)[pos];</div>
<div class="line"><span class="lineno"> 82</span> }</div>
<div class="line"><span class="lineno"> 83</span> </div>
<div class="line"><span class="lineno"> 84</span> uint64_t mid = (low + high) / 2;</div>
<div class="line"><span class="lineno"> 85</span> </div>
<div class="line"><span class="lineno"> 86</span> <span class="keywordflow">return</span> <a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(segtree, lazy, qlow, qhigh, low, mid, 2 * pos + 1) +</div>
<div class="line"><span class="lineno"> 87</span> <a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(segtree, lazy, qlow, qhigh, mid + 1, high, 2 * pos + 2);</div>
<div class="line"><span class="lineno"> 88</span>}</div>
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<p>Self-test implementation. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 146</span> {</div>
<div class="line"><span class="lineno"> 147</span> <span class="keyword">auto</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a> = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(2 * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(2, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/ceil.html">ceil</a>(log2(7))) - 1);</div>
<div class="line"><span class="lineno"> 148</span> assert(max == 15);</div>
<div class="line"><span class="lineno"> 149</span> </div>
<div class="line"><span class="lineno"> 150</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int64_t&gt;</a> arr{1, 2, 3, 4, 5, 6, 7}, lazy(max), segtree(max);</div>
<div class="line"><span class="lineno"> 151</span> <a class="code hl_function" href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a>(arr, &amp;segtree, 0, 7 - 1, 0);</div>
<div class="line"><span class="lineno"> 152</span> </div>
<div class="line"><span class="lineno"> 153</span> assert(<a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(&amp;segtree, &amp;lazy, 1, 5, 0, 7 - 1, 0) == 2 + 3 + 4 + 5 + 6);</div>
<div class="line"><span class="lineno"> 154</span> </div>
<div class="line"><span class="lineno"> 155</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(&amp;segtree, &amp;lazy, 2, 4, 1, 0, 7 - 1, 0);</div>
<div class="line"><span class="lineno"> 156</span> assert(<a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(&amp;segtree, &amp;lazy, 1, 5, 0, 7 - 1, 0) == 2 + 4 + 5 + 6 + 6);</div>
<div class="line"><span class="lineno"> 157</span> </div>
<div class="line"><span class="lineno"> 158</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(&amp;segtree, &amp;lazy, 0, 6, -2, 0, 7 - 1, 0);</div>
<div class="line"><span class="lineno"> 159</span> assert(<a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(&amp;segtree, &amp;lazy, 0, 4, 0, 7 - 1, 0) == -1 + 0 + 2 + 3 + 4);</div>
<div class="line"><span class="lineno"> 160</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 147</span> {</div>
<div class="line"><span class="lineno"> 148</span> <span class="keyword">auto</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a> = <span class="keyword">static_cast&lt;</span>int64_t<span class="keyword">&gt;</span>(2 * <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">pow</a>(2, <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/ceil.html">ceil</a>(log2(7))) - 1);</div>
<div class="line"><span class="lineno"> 149</span> assert(max == 15);</div>
<div class="line"><span class="lineno"> 150</span> </div>
<div class="line"><span class="lineno"> 151</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int64_t&gt;</a> arr{1, 2, 3, 4, 5, 6, 7}, lazy(max), segtree(max);</div>
<div class="line"><span class="lineno"> 152</span> <a class="code hl_function" href="#ae752659b7c1719d68fdb2ca538a93696">ConsTree</a>(arr, &amp;segtree, 0, 7 - 1, 0);</div>
<div class="line"><span class="lineno"> 153</span> </div>
<div class="line"><span class="lineno"> 154</span> assert(<a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(&amp;segtree, &amp;lazy, 1, 5, 0, 7 - 1, 0) == 2 + 3 + 4 + 5 + 6);</div>
<div class="line"><span class="lineno"> 155</span> </div>
<div class="line"><span class="lineno"> 156</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(&amp;segtree, &amp;lazy, 2, 4, 1, 0, 7 - 1, 0);</div>
<div class="line"><span class="lineno"> 157</span> assert(<a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(&amp;segtree, &amp;lazy, 1, 5, 0, 7 - 1, 0) == 2 + 4 + 5 + 6 + 6);</div>
<div class="line"><span class="lineno"> 158</span> </div>
<div class="line"><span class="lineno"> 159</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(&amp;segtree, &amp;lazy, 0, 6, -2, 0, 7 - 1, 0);</div>
<div class="line"><span class="lineno"> 160</span> assert(<a class="code hl_function" href="#a423a97ea0c7ea6e33b5844a6858d902d">query</a>(&amp;segtree, &amp;lazy, 0, 4, 0, 7 - 1, 0) == -1 + 0 + 2 + 3 + 4);</div>
<div class="line"><span class="lineno"> 161</span>}</div>
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</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 104</span> {</div>
<div class="line"><span class="lineno"> 105</span> <span class="keywordflow">if</span> (low &gt; high) {</div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 107</span> }</div>
<div class="line"><span class="lineno"> 108</span> </div>
<div class="line"><span class="lineno"> 109</span> <span class="keywordflow">if</span> ((*lazy)[pos] != 0) {</div>
<div class="line"><span class="lineno"> 110</span> (*segtree)[pos] += (*lazy)[pos] * (high - low + 1);</div>
<div class="line"><span class="lineno"> 111</span> </div>
<div class="line"><span class="lineno"> 112</span> <span class="keywordflow">if</span> (low != high) {</div>
<div class="line"><span class="lineno"> 113</span> (*lazy)[2 * pos + 1] += (*lazy)[pos];</div>
<div class="line"><span class="lineno"> 114</span> (*lazy)[2 * pos + 2] += (*lazy)[pos];</div>
<div class="line"><span class="lineno"> 115</span> }</div>
<div class="line"><span class="lineno"> 116</span> (*lazy)[pos] = 0;</div>
<div class="line"><span class="lineno"> 117</span> }</div>
<div class="line"><span class="lineno"> 118</span> </div>
<div class="line"><span class="lineno"> 119</span> <span class="keywordflow">if</span> (start &gt; high || end &lt; low) {</div>
<div class="line"><span class="lineno"> 120</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 121</span> }</div>
<div class="line"><span class="lineno"> 122</span> </div>
<div class="line"><span class="lineno"> 123</span> <span class="keywordflow">if</span> (start &lt;= low &amp;&amp; end &gt;= high) {</div>
<div class="line"><span class="lineno"> 124</span> (*segtree)[pos] += delta * (high - low + 1);</div>
<div class="line"><span class="lineno"> 125</span> </div>
<div class="line"><span class="lineno"> 126</span> <span class="keywordflow">if</span> (low != high) {</div>
<div class="line"><span class="lineno"> 127</span> (*lazy)[2 * pos + 1] += delta;</div>
<div class="line"><span class="lineno"> 128</span> (*lazy)[2 * pos + 2] += delta;</div>
<div class="line"><span class="lineno"> 129</span> }</div>
<div class="line"><span class="lineno"> 130</span> </div>
<div class="line"><span class="lineno"> 131</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 132</span> }</div>
<div class="line"><span class="lineno"> 133</span> </div>
<div class="line"><span class="lineno"> 134</span> uint64_t mid = (low + high) / 2;</div>
<div class="line"><span class="lineno"> 135</span> </div>
<div class="line"><span class="lineno"> 136</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(segtree, lazy, start, end, delta, low, mid, 2 * pos + 1);</div>
<div class="line"><span class="lineno"> 137</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(segtree, lazy, start, end, delta, mid + 1, high, 2 * pos + 2);</div>
<div class="line"><span class="lineno"> 138</span> (*segtree)[pos] = (*segtree)[2 * pos + 1] + (*segtree)[2 * pos + 2];</div>
<div class="line"><span class="lineno"> 139</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 105</span> {</div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">if</span> (low &gt; high) {</div>
<div class="line"><span class="lineno"> 107</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 108</span> }</div>
<div class="line"><span class="lineno"> 109</span> </div>
<div class="line"><span class="lineno"> 110</span> <span class="keywordflow">if</span> ((*lazy)[pos] != 0) {</div>
<div class="line"><span class="lineno"> 111</span> (*segtree)[pos] += (*lazy)[pos] * (high - low + 1);</div>
<div class="line"><span class="lineno"> 112</span> </div>
<div class="line"><span class="lineno"> 113</span> <span class="keywordflow">if</span> (low != high) {</div>
<div class="line"><span class="lineno"> 114</span> (*lazy)[2 * pos + 1] += (*lazy)[pos];</div>
<div class="line"><span class="lineno"> 115</span> (*lazy)[2 * pos + 2] += (*lazy)[pos];</div>
<div class="line"><span class="lineno"> 116</span> }</div>
<div class="line"><span class="lineno"> 117</span> (*lazy)[pos] = 0;</div>
<div class="line"><span class="lineno"> 118</span> }</div>
<div class="line"><span class="lineno"> 119</span> </div>
<div class="line"><span class="lineno"> 120</span> <span class="keywordflow">if</span> (start &gt; high || end &lt; low) {</div>
<div class="line"><span class="lineno"> 121</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 122</span> }</div>
<div class="line"><span class="lineno"> 123</span> </div>
<div class="line"><span class="lineno"> 124</span> <span class="keywordflow">if</span> (start &lt;= low &amp;&amp; end &gt;= high) {</div>
<div class="line"><span class="lineno"> 125</span> (*segtree)[pos] += delta * (high - low + 1);</div>
<div class="line"><span class="lineno"> 126</span> </div>
<div class="line"><span class="lineno"> 127</span> <span class="keywordflow">if</span> (low != high) {</div>
<div class="line"><span class="lineno"> 128</span> (*lazy)[2 * pos + 1] += delta;</div>
<div class="line"><span class="lineno"> 129</span> (*lazy)[2 * pos + 2] += delta;</div>
<div class="line"><span class="lineno"> 130</span> }</div>
<div class="line"><span class="lineno"> 131</span> </div>
<div class="line"><span class="lineno"> 132</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 133</span> }</div>
<div class="line"><span class="lineno"> 134</span> </div>
<div class="line"><span class="lineno"> 135</span> uint64_t mid = (low + high) / 2;</div>
<div class="line"><span class="lineno"> 136</span> </div>
<div class="line"><span class="lineno"> 137</span> <a class="code hl_function" href="#abd3e818681fb2e29cf08f4f60f82c8e0">update</a>(segtree, lazy, start, end, delta, low, mid, 2 * pos + 1);</div>
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<div class="line"><span class="lineno"> 139</span> (*segtree)[pos] = (*segtree)[2 * pos + 1] + (*segtree)[2 * pos + 2];</div>
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<div class="headertitle"><div class="title">subset_sum.cpp File Reference</div></div>
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<p>Implementation of the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem.
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;cassert&gt;</code><br />
<code>#include &lt;cstdint&gt;</code><br />
<code>#include &lt;iostream&gt;</code><br />
<code>#include &lt;vector&gt;</code><br />
</div><div class="textblock"><div class="dynheader">
Include dependency graph for subset_sum.cpp:</div>
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Namespaces</h2></td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/dc0/namespacebacktracking.html">backtracking</a></td></tr>
<tr class="memdesc:db/dc0/namespacebacktracking"><td class="mdescLeft">&#160;</td><td class="mdescRight">for vector container <br /></td></tr>
<tr class="separator:"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">namespace &#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="../../de/d95/namespace_subsets.html">Subsets</a></td></tr>
<tr class="memdesc:de/d95/namespace_subsets"><td class="mdescLeft">&#160;</td><td class="mdescRight">Functions for the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem. <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:a7cb50d36a59427a33f64a266dac83d99" id="r_a7cb50d36a59427a33f64a266dac83d99"><td class="memItemLeft" align="right" valign="top">uint64_t&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#a7cb50d36a59427a33f64a266dac83d99">backtracking::subset_sum::number_of_subsets</a> (int32_t sum, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>&lt; int32_t &gt; &amp;in_arr)</td></tr>
<tr class="memdesc:a7cb50d36a59427a33f64a266dac83d99"><td class="mdescLeft">&#160;</td><td class="mdescRight">The main function implements count of subsets. <br /></td></tr>
<tr class="separator:a7cb50d36a59427a33f64a266dac83d99"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa8dca7b867074164d5f45b0f3851269d" id="r_aa8dca7b867074164d5f45b0f3851269d"><td class="memItemLeft" align="right" valign="top">static void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#aa8dca7b867074164d5f45b0f3851269d">test</a> ()</td></tr>
<tr class="memdesc:aa8dca7b867074164d5f45b0f3851269d"><td class="mdescLeft">&#160;</td><td class="mdescRight">Test implementations. <br /></td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4" id="r_ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="#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>Implementation of the <a href="https://en.wikipedia.org/wiki/Subset_sum_problem" target="_blank">Subset Sum</a> problem. </p>
<p>We are given an array and a sum value. The algorithm finds all the subsets of that array with sum equal to the given sum and return such subsets count. This approach will have exponential time complexity. </p><dl class="section author"><dt>Author</dt><dd><a href="https://github.com/Swastyy" target="_blank">Swastika Gupta</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a id="ae66f6b31b5ad750f1fe042a706a4e3d4" name="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
<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>
<td>(</td>
<td class="paramtype">void</td> <td class="paramname"><span class="paramname"><em></em></span></td><td>)</td>
<td></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"> 104</span> {</div>
<div class="line"><span class="lineno"> 105</span> <a class="code hl_function" href="#aa8dca7b867074164d5f45b0f3851269d">test</a>(); <span class="comment">// run self-test implementations</span></div>
<div class="line"><span class="lineno"> 106</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 107</span>}</div>
<div class="ttc" id="asubset__sum_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdoc">Test implementations.</div><div class="ttdef"><b>Definition</b> subset_sum.cpp:58</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a7cb50d36a59427a33f64a266dac83d99">&#9670;&#160;</a></span>number_of_subsets()</h2>
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<td class="memname">uint64_t backtracking::subset_sum::number_of_subsets </td>
<td>(</td>
<td class="paramtype">int32_t</td> <td class="paramname"><span class="paramname"><em>sum</em></span>, </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/container/vector.html">std::vector</a>&lt; int32_t &gt; &amp;</td> <td class="paramname"><span class="paramname"><em>in_arr</em></span>&#160;)</td>
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<p>The main function implements count of subsets. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">sum</td><td>is the required sum of any subset </td></tr>
<tr><td class="paramname">in_arr</td><td>is the input array </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>count of the number of subsets with required sum </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 34</span> {</div>
<div class="line"><span class="lineno"> 35</span> int32_t nelement = in_arr.<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
<div class="line"><span class="lineno"> 36</span> uint64_t count_of_subset = 0;</div>
<div class="line"><span class="lineno"> 37</span> </div>
<div class="line"><span class="lineno"> 38</span> <span class="keywordflow">for</span> (int32_t i = 0; i &lt; (1 &lt;&lt; (nelement)); i++) {</div>
<div class="line"><span class="lineno"> 39</span> int32_t <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> = 0;</div>
<div class="line"><span class="lineno"> 40</span> <span class="keywordflow">for</span> (int32_t j = 0; j &lt; nelement; j++) {</div>
<div class="line"><span class="lineno"> 41</span> <span class="keywordflow">if</span> (i &amp; (1 &lt;&lt; j)) {</div>
<div class="line"><span class="lineno"> 42</span> <a class="code hl_function" href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">check</a> += (in_arr[j]);</div>
<div class="line"><span class="lineno"> 43</span> }</div>
<div class="line"><span class="lineno"> 44</span> }</div>
<div class="line"><span class="lineno"> 45</span> <span class="keywordflow">if</span> (check == sum) {</div>
<div class="line"><span class="lineno"> 46</span> count_of_subset++;</div>
<div class="line"><span class="lineno"> 47</span> }</div>
<div class="line"><span class="lineno"> 48</span> }</div>
<div class="line"><span class="lineno"> 49</span> <span class="keywordflow">return</span> count_of_subset;</div>
<div class="line"><span class="lineno"> 50</span>}</div>
<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
<div class="ttc" id="aword__break_8cpp_html_a272b0f5cdb4e41fd6dee4538b808c06a"><div class="ttname"><a href="../../d3/d84/word__break_8cpp.html#a272b0f5cdb4e41fd6dee4538b808c06a">dynamic_programming::word_break::check</a></div><div class="ttdeci">bool check(const std::string &amp;s, const std::unordered_set&lt; std::string &gt; &amp;strSet, int pos, std::vector&lt; int &gt; *dp)</div><div class="ttdoc">Function that checks if the string passed in param can be segmented from position 'pos',...</div><div class="ttdef"><b>Definition</b> word_break.cpp:80</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>
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<p>Test implementations. </p>
<dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
<div class="fragment"><div class="line"><span class="lineno"> 58</span> {</div>
<div class="line"><span class="lineno"> 59</span> <span class="comment">// 1st test</span></div>
<div class="line"><span class="lineno"> 60</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;1st test &quot;</span>;</div>
<div class="line"><span class="lineno"> 61</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array1 = {-7, -3, -2, 5, 8}; <span class="comment">// input array</span></div>
<div class="line"><span class="lineno"> 62</span> assert(backtracking::subset_sum::number_of_subsets(0, array1) ==</div>
<div class="line"><span class="lineno"> 63</span> 2); <span class="comment">// first argument in subset_sum function is the required sum and</span></div>
<div class="line"><span class="lineno"> 64</span> <span class="comment">// second is the input array</span></div>
<div class="line"><span class="lineno"> 65</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 66</span> </div>
<div class="line"><span class="lineno"> 67</span> <span class="comment">// 2nd test</span></div>
<div class="line"><span class="lineno"> 68</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;2nd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 69</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array2 = {1, 2, 3, 3};</div>
<div class="line"><span class="lineno"> 70</span> assert(backtracking::subset_sum::number_of_subsets(6, array2) ==</div>
<div class="line"><span class="lineno"> 71</span> 3); <span class="comment">// here we are expecting 3 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 72</span> <span class="comment">// {(1,2,3),(1,2,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 73</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 74</span> </div>
<div class="line"><span class="lineno"> 75</span> <span class="comment">// 3rd test</span></div>
<div class="line"><span class="lineno"> 76</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;3rd test &quot;</span>;</div>
<div class="line"><span class="lineno"> 77</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array3 = {1, 1, 1, 1};</div>
<div class="line"><span class="lineno"> 78</span> assert(backtracking::subset_sum::number_of_subsets(1, array3) ==</div>
<div class="line"><span class="lineno"> 79</span> 4); <span class="comment">// here we are expecting 4 subsets which sum up to 1 i.e.</span></div>
<div class="line"><span class="lineno"> 80</span> <span class="comment">// {(1),(1),(1),(1)}</span></div>
<div class="line"><span class="lineno"> 81</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 82</span> </div>
<div class="line"><span class="lineno"> 83</span> <span class="comment">// 4th test</span></div>
<div class="line"><span class="lineno"> 84</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;4th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 85</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array4 = {3, 3, 3, 3};</div>
<div class="line"><span class="lineno"> 86</span> assert(backtracking::subset_sum::number_of_subsets(6, array4) ==</div>
<div class="line"><span class="lineno"> 87</span> 6); <span class="comment">// here we are expecting 6 subsets which sum up to 6 i.e.</span></div>
<div class="line"><span class="lineno"> 88</span> <span class="comment">// {(3,3),(3,3),(3,3),(3,3),(3,3),(3,3)}</span></div>
<div class="line"><span class="lineno"> 89</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 90</span> </div>
<div class="line"><span class="lineno"> 91</span> <span class="comment">// Test 5</span></div>
<div class="line"><span class="lineno"> 92</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;5th test &quot;</span>;</div>
<div class="line"><span class="lineno"> 93</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector&lt;int32_t&gt;</a> array5 = {};</div>
<div class="line"><span class="lineno"> 94</span> assert(backtracking::subset_sum::number_of_subsets(6, array5) ==</div>
<div class="line"><span class="lineno"> 95</span> 0); <span class="comment">// here we are expecting 0 subsets which sum up to 6 i.e. we</span></div>
<div class="line"><span class="lineno"> 96</span> <span class="comment">// cannot select anything from an empty array</span></div>
<div class="line"><span class="lineno"> 97</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;passed&quot;</span> &lt;&lt; <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
<div class="line"><span class="lineno"> 98</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="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>
<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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