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<p><a href="https://en.wikipedia.org/wiki/Heavy_path_decomposition">Heavy Light Decomposition</a> implementation
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <algorithm></code><br />
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<code>#include <cassert></code><br />
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<code>#include <cmath></code><br />
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<code>#include <cstring></code><br />
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<code>#include <iostream></code><br />
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<code>#include <list></code><br />
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<code>#include <numeric></code><br />
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<code>#include <string></code><br />
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<code>#include <vector></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for heavy_light_decomposition.cpp:</div>
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<div class="dyncontent">
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html">range_queries::heavy_light_decomposition::Tree< X ></a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">A Basic <a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, which supports binary lifting. <a href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html#details">More...</a><br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html">range_queries::heavy_light_decomposition::SG< X ></a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">Segment <a class="el" href="../../d1/d51/classrange__queries_1_1heavy__light__decomposition_1_1_tree.html" title="A Basic Tree, which supports binary lifting.">Tree</a>, to store heavy chains. <a href="../../d9/d35/classrange__queries_1_1heavy__light__decomposition_1_1_s_g.html#details">More...</a><br /></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD< X ></a></td></tr>
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<tr class="memdesc:"><td class="mdescLeft"> </td><td class="mdescRight">The Heavy-Light Decomposition class. <a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html#details">More...</a><br /></td></tr>
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<tr class="memdesc:dd/d69/namespacerange__queries"><td class="mdescLeft"> </td><td class="mdescRight">Algorithms and Data Structures that support range queries and updates. <br /></td></tr>
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<tr class="memitem:db/d6f/namespaceheavy__light__decomposition"><td class="memItemLeft" align="right" valign="top">  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../db/d6f/namespaceheavy__light__decomposition.html">heavy_light_decomposition</a></td></tr>
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<tr class="memdesc:db/d6f/namespaceheavy__light__decomposition"><td class="mdescLeft"> </td><td class="mdescRight">Heavy light decomposition algorithm. <br /></td></tr>
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Functions</h2></td></tr>
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<tr class="memitem:a34b8683a2b429de5cce57e6d733ec817"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a> ()</td></tr>
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<tr class="memitem:a458410412185a5f09199deaff7157a8d"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a> ()</td></tr>
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<tr class="memitem:af31ec5409537703d9c8a47350386b32a"><td class="memItemLeft" align="right" valign="top">static void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a> ()</td></tr>
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<tr class="memitem:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d2/de9/heavy__light__decomposition_8cpp.html#ae66f6b31b5ad750f1fe042a706a4e3d4">main</a> ()</td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p><a href="https://en.wikipedia.org/wiki/Heavy_path_decomposition">Heavy Light Decomposition</a> implementation </p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/aneee004">Aniruthan R</a></dd></dl>
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<p>Heavy-Light Decomposition is a technique on trees, that supports the following:</p><ol type="1">
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<li>Update node s, with a value v</li>
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<li>Return the (sum) of all node values on the simple path from a to b (sum) can also be replced with <a class="el" href="../../d7/d47/namespace_x_o_r.html" title="Functions for XOR cipher algorithm.">XOR</a>, OR, AND, min, or max</li>
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</ol>
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<p>The update is done in O(log n) time, and the query is done in O(log^2 n) time with HLD where, n is the number of nodes</p>
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<p>The template type is the data type of the value stored in the nodes. If a non-primitive data-type is used as a template, the coressponding operators must be overloaded.</p>
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<p>An HLD object can only be created with a constant number of nodes, and it cannot be changed later. Creaty an empty instance is not supported.</p>
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<p>To start answering updates and queries,</p><ol type="1">
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<li>Create an instance of HLD<X> object (obj), with the required data type.</li>
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<li>Read in the edge/parent information and update it with obj.add_edge(). Note: The edges addes must be 0 indexed.</li>
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<li>Create a vector with initial node values, and call set_node_val() with it.</li>
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<li>Call obj.init() to populate the required information for supporting operations.</li>
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<li>Call obj.update(node, new_val), to update the value at index 'node' to the new value. Note: node must be 0 indexed</li>
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<li>Call obj.query(a, b) to get the (sum) of node values in the simple path from a to b. Note: a and b, must be 0 indexed.</li>
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</ol>
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<p>Sample I/O at the bottom. </p><dl class="todo"><dt><b><a class="el" href="../../dd/da0/todo.html#_todo000010">Todo:</a></b></dt><dd>Support edge weight queries, by storing the edge weight value in it's child algorithm verified by testing in CSES path queries: <a href="https://cses.fi/problemset/task/1138">https://cses.fi/problemset/task/1138</a> </dd></dl>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ae66f6b31b5ad750f1fe042a706a4e3d4"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ae66f6b31b5ad750f1fe042a706a4e3d4">◆ </a></span>main()</h2>
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<p>Main function </p>
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<div class="fragment"><div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  {</div>
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<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  <a class="code" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a>();</div>
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<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  <a class="code" href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a>();</div>
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<div class="line"><a name="l00637"></a><span class="lineno"> 637</span>  <a class="code" href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a>();</div>
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<div class="line"><a name="l00638"></a><span class="lineno"> 638</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00639"></a><span class="lineno"> 639</span> }</div>
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<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a34b8683a2b429de5cce57e6d733ec817"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a34b8683a2b429de5cce57e6d733ec817">test_1</a></div><div class="ttdeci">static void test_1()</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:505</div></div>
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<div class="ttc" id="aheavy__light__decomposition_8cpp_html_a458410412185a5f09199deaff7157a8d"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#a458410412185a5f09199deaff7157a8d">test_2</a></div><div class="ttdeci">static void test_2()</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:549</div></div>
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<div class="ttc" id="aheavy__light__decomposition_8cpp_html_af31ec5409537703d9c8a47350386b32a"><div class="ttname"><a href="../../d2/de9/heavy__light__decomposition_8cpp.html#af31ec5409537703d9c8a47350386b32a">test_3</a></div><div class="ttdeci">static void test_3()</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:592</div></div>
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</div><!-- fragment --><div class="dynheader">
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Here is the call graph for this function:</div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d2/de9/heavy__light__decomposition_8cpp_ae66f6b31b5ad750f1fe042a706a4e3d4_cgraph.svg" width="100%" height="600"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<a id="a34b8683a2b429de5cce57e6d733ec817"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a34b8683a2b429de5cce57e6d733ec817">◆ </a></span>test_1()</h2>
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<p>Test implementations </p><dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
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<div class="fragment"><div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  {</div>
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<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 1:\n"</span>;</div>
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<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  </div>
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<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  <span class="comment">// Test details</span></div>
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<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  <span class="keywordtype">int</span> n = 5;</div>
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<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int64_t></a> node_values = {4, 2, 5, 2, 1};</div>
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<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a>> edges = {{1, 2}, {1, 3}, {3, 4}, {3, 5}};</div>
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<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a>> queries = {</div>
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<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  {2, 1, 4},</div>
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<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  {1, 3, 2},</div>
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<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  {2, 1, 4},</div>
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<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  };</div>
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<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> expected_result = {11, 8};</div>
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<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> code_result;</div>
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<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  </div>
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<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD<int64_t></a> hld(n);</div>
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<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  hld.set_node_val(node_values);</div>
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<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n - 1; i++) {</div>
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<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="keywordtype">int</span> u = edges[i][0], v = edges[i][1];</div>
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<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  hld.add_edge(u - 1, v - 1);</div>
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<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  }</div>
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<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  hld.init();</div>
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<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> &q : queries) {</div>
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<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  <span class="keywordtype">int</span> type = q[0];</div>
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<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  <span class="keywordflow">if</span> (type == 1) {</div>
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<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <span class="keywordtype">int</span> p = q[1], x = q[2];</div>
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<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  hld.update(p - 1, x);</div>
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<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (type == 2) {</div>
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<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  <span class="keywordtype">int</span> a = q[1], b = q[2];</div>
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<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  code_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(hld.query(a - 1, b - 1));</div>
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<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00537"></a><span class="lineno"> 537</span>  }</div>
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<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  }</div>
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<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < static_cast<int>(expected_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()); i++) {</div>
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<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  assert(expected_result[i] == code_result[i]);</div>
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<div class="line"><a name="l00541"></a><span class="lineno"> 541</span>  }</div>
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<div class="line"><a name="l00542"></a><span class="lineno"> 542</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nTest 1 passed!\n"</span>;</div>
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<div class="line"><a name="l00543"></a><span class="lineno"> 543</span> }</div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<div class="ttc" id="aclassrange__queries_1_1heavy__light__decomposition_1_1_h_l_d_html"><div class="ttname"><a href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD</a></div><div class="ttdoc">The Heavy-Light Decomposition class.</div><div class="ttdef"><b>Definition:</b> heavy_light_decomposition.cpp:336</div></div>
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector< int64_t ></a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a458410412185a5f09199deaff7157a8d">◆ </a></span>test_2()</h2>
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<td class="memname">static void test_2 </td>
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<p>Second test implementations </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  {</div>
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<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 2:\n"</span>;</div>
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<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  </div>
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<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="comment">// Test details (Bamboo)</span></div>
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<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  <span class="keywordtype">int</span> n = 10;</div>
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<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int64_t></a> node_values = {1, 8, 6, 8, 6, 2, 9, 2, 3, 2};</div>
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<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a>> edges = {</div>
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<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  {10, 5}, {6, 2}, {10, 7}, {5, 2}, {3, 9}, {8, 3}, {1, 4}, {6, 4}, {8, 7}};</div>
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<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a>> queries = {</div>
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<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  {2, 1, 10}, {2, 1, 6}, {1, 3, 4}, {2, 1, 9}, {1, 5, 3},</div>
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<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  {1, 7, 8}, {2, 1, 4}, {2, 1, 8}, {1, 1, 4}, {1, 2, 7}};</div>
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<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> expected_result = {27, 11, 45, 9, 34};</div>
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<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> code_result;</div>
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<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  </div>
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<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD<int64_t></a> hld(n);</div>
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<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  hld.set_node_val(node_values);</div>
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<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n - 1; i++) {</div>
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<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  <span class="keywordtype">int</span> u = edges[i][0], v = edges[i][1];</div>
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<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  hld.add_edge(u - 1, v - 1);</div>
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<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  }</div>
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<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  hld.init();</div>
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<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> &q : queries) {</div>
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<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  <span class="keywordtype">int</span> type = q[0];</div>
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<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  <span class="keywordflow">if</span> (type == 1) {</div>
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<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  <span class="keywordtype">int</span> p = q[1], x = q[2];</div>
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<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  hld.update(p - 1, x);</div>
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<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (type == 2) {</div>
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<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  <span class="keywordtype">int</span> a = q[1], b = q[2];</div>
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<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  code_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(hld.query(a - 1, b - 1));</div>
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<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  }</div>
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<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  }</div>
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<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < static_cast<int>(expected_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()); i++) {</div>
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<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  assert(expected_result[i] == code_result[i]);</div>
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<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  }</div>
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<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nTest2 passed!\n"</span>;</div>
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<div class="line"><a name="l00586"></a><span class="lineno"> 586</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#af31ec5409537703d9c8a47350386b32a">◆ </a></span>test_3()</h2>
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<td class="memname">static void test_3 </td>
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<p>Third test implementations </p><dl class="section return"><dt>Returns</dt><dd>void </dd></dl>
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<div class="fragment"><div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  {</div>
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<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Test 3:\n"</span>;</div>
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<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  </div>
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<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="comment">// Test details</span></div>
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<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <span class="keywordtype">int</span> n = 8;</div>
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<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int64_t></a> node_values = {1, 8, 6, 8, 6, 2, 9, 2};</div>
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<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a>> edges = {{1, 2}, {2, 3}, {3, 4}, {1, 5},</div>
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<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  {6, 3}, {7, 5}, {8, 7}};</div>
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<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<int></a>> queries = {</div>
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<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  {2, 6, 8}, {2, 3, 6}, {1, 3, 4}, {2, 7, 1}, {1, 5, 3},</div>
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<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  {1, 7, 8}, {2, 6, 4}, {2, 7, 8}, {1, 1, 4}, {1, 2, 7}};</div>
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<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> expected_result = {34, 8, 16, 14, 10};</div>
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<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<int></a> code_result;</div>
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<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  </div>
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<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  <a class="code" href="../../d2/d8a/classrange__queries_1_1heavy__light__decomposition_1_1_h_l_d.html">range_queries::heavy_light_decomposition::HLD<int64_t></a> hld(n);</div>
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<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  hld.set_node_val(node_values);</div>
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<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < n - 1; i++) {</div>
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<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  <span class="keywordtype">int</span> u = edges[i][0], v = edges[i][1];</div>
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<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  hld.add_edge(u - 1, v - 1);</div>
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<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  }</div>
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<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  hld.init();</div>
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<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  <span class="keywordflow">for</span> (<span class="keyword">const</span> <span class="keyword">auto</span> &q : queries) {</div>
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<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  <span class="keywordtype">int</span> type = q[0];</div>
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<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  <span class="keywordflow">if</span> (type == 1) {</div>
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<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <span class="keywordtype">int</span> p = q[1], x = q[2];</div>
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<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  hld.update(p - 1, x);</div>
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<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  } <span class="keywordflow">else</span> <span class="keywordflow">if</span> (type == 2) {</div>
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<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  <span class="keywordtype">int</span> a = q[1], b = q[2];</div>
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<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  code_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(hld.query(a - 1, b - 1));</div>
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<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  } <span class="keywordflow">else</span> {</div>
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<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <span class="keywordflow">continue</span>;</div>
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<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  }</div>
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<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  }</div>
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<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < static_cast<int>(expected_result.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()); i++) {</div>
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<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  assert(expected_result[i] == code_result[i]);</div>
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<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  }</div>
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<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\nTest3 passed!\n"</span>;</div>
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<div class="line"><a name="l00629"></a><span class="lineno"> 629</span> }</div>
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